%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC091+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:01 AM UTC 2026 % Result : Theorem 234.71s 235.18s % Output : Proof 234.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC091+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:15:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 234.71/235.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 234.71/235.18 --- Run --no-e-matching --full-saturate-quant at 6... % 234.71/235.18 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 234.71/235.18 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 234.71/235.18 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 234.71/235.18 --- Run --trigger-sel=max --full-saturate-quant at 15... % 234.71/235.18 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 234.71/235.18 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 234.71/235.18 --- Run --prenex-quant=none --full-saturate-quant at 30... % 234.71/235.18 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 234.71/235.18 --- Run --relevant-triggers --full-saturate-quant at 30... % 234.71/235.18 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 234.71/235.18 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 234.71/235.18 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 234.71/235.18 % SZS status Theorem % 234.71/235.18 % SZS output start Proof % 234.71/235.18 ( % 234.71/235.18 (declare-sort $$unsorted 0) % 234.71/235.18 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 234.71/235.18 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 234.71/235.18 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 234.71/235.18 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 234.71/235.18 (declare-const tptp.nil $$unsorted) % 234.71/235.18 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.ssList (-> $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 234.71/235.18 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 234.71/235.18 (define @t1 () (@var "V" $$unsorted)) % 234.71/235.18 (define @t2 () (@var "U" $$unsorted)) % 234.71/235.18 (define @t3 () (= @t2 @t1)) % 234.71/235.18 (define @t4 () (not @t3)) % 234.71/235.18 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 234.71/235.18 (define @t6 () (tptp.ssItem @t1)) % 234.71/235.18 (define @t7 () (@list @t1)) % 234.71/235.18 (define @t8 () (tptp.ssItem @t2)) % 234.71/235.18 (define @t9 () (@list @t2)) % 234.71/235.18 (define @t10 () (@var "X" $$unsorted)) % 234.71/235.18 (define @t11 () (tptp.cons @t1 @t10)) % 234.71/235.18 (define @t12 () (@var "W" $$unsorted)) % 234.71/235.18 (define @t13 () (tptp.ssList @t10)) % 234.71/235.18 (define @t14 () (@list @t10)) % 234.71/235.18 (define @t15 () (tptp.ssList @t12)) % 234.71/235.18 (define @t16 () (@list @t12)) % 234.71/235.18 (define @t17 () (tptp.ssList @t2)) % 234.71/235.18 (define @t18 () (tptp.cons @t1 tptp.nil)) % 234.71/235.18 (define @t19 () (and @t6 (= @t18 @t2))) % 234.71/235.18 (define @t20 () (exists @t7 @t19)) % 234.71/235.18 (define @t21 () (tptp.singletonP @t2)) % 234.71/235.18 (define @t22 () (= @t21 @t20)) % 234.71/235.18 (define @t23 () (=> @t17 @t22)) % 234.71/235.18 (define @t24 () (forall @t9 @t23)) % 234.71/235.18 (define @t25 () (tptp.app @t1 @t12)) % 234.71/235.18 (define @t26 () (and @t15 (= @t25 @t2))) % 234.71/235.18 (define @t27 () (exists @t16 @t26)) % 234.71/235.18 (define @t28 () (tptp.frontsegP @t2 @t1)) % 234.71/235.18 (define @t29 () (= @t28 @t27)) % 234.71/235.18 (define @t30 () (tptp.ssList @t1)) % 234.71/235.18 (define @t31 () (=> @t30 @t29)) % 234.71/235.18 (define @t32 () (forall @t7 @t31)) % 234.71/235.18 (define @t33 () (=> @t17 @t32)) % 234.71/235.18 (define @t34 () (forall @t9 @t33)) % 234.71/235.18 (define @t35 () (tptp.app @t12 @t1)) % 234.71/235.18 (define @t36 () (tptp.rearsegP @t2 @t1)) % 234.71/235.18 (define @t37 () (tptp.segmentP @t2 @t1)) % 234.71/235.18 (define @t38 () (tptp.leq @t12 @t1)) % 234.71/235.18 (define @t39 () (tptp.leq @t1 @t12)) % 234.71/235.18 (define @t40 () (@var "Z" $$unsorted)) % 234.71/235.18 (define @t41 () (@var "Y" $$unsorted)) % 234.71/235.18 (define @t42 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t41)) (tptp.cons @t12 @t40)) @t2)) % 234.71/235.18 (define @t43 () (tptp.ssList @t40)) % 234.71/235.18 (define @t44 () (@list @t40)) % 234.71/235.18 (define @t45 () (tptp.ssList @t41)) % 234.71/235.18 (define @t46 () (@list @t41)) % 234.71/235.18 (define @t47 () (tptp.ssItem @t12)) % 234.71/235.18 (define @t48 () (tptp.lt @t1 @t12)) % 234.71/235.18 (define @t49 () (tptp.totalorderedP @t2)) % 234.71/235.18 (define @t50 () (= @t1 @t12)) % 234.71/235.18 (define @t51 () (forall @t7 (=> @t30 @t5))) % 234.71/235.18 (define @t52 () (=> @t17 @t51)) % 234.71/235.18 (define @t53 () (forall @t9 @t52)) % 234.71/235.18 (define @t54 () (tptp.cons @t1 @t2)) % 234.71/235.18 (define @t55 () (tptp.ssList @t54)) % 234.71/235.18 (define @t56 () (forall @t7 (=> @t6 @t55))) % 234.71/235.18 (define @t57 () (=> @t17 @t56)) % 234.71/235.18 (define @t58 () (forall @t9 @t57)) % 234.71/235.18 (define @t59 () (tptp.ssList tptp.nil)) % 234.71/235.18 (define @t60 () (= @t1 @t2)) % 234.71/235.18 (define @t61 () (tptp.cons @t12 @t1)) % 234.71/235.18 (define @t62 () (and @t47 (= @t61 @t2))) % 234.71/235.18 (define @t63 () (exists @t16 @t62)) % 234.71/235.18 (define @t64 () (and @t30 @t63)) % 234.71/235.18 (define @t65 () (exists @t7 @t64)) % 234.71/235.18 (define @t66 () (= tptp.nil @t2)) % 234.71/235.18 (define @t67 () (or @t66 @t65)) % 234.71/235.18 (define @t68 () (=> @t17 @t67)) % 234.71/235.18 (define @t69 () (forall @t9 @t68)) % 234.71/235.18 (define @t70 () (tptp.hd @t2)) % 234.71/235.18 (define @t71 () (tptp.ssItem @t70)) % 234.71/235.18 (define @t72 () (not @t66)) % 234.71/235.18 (define @t73 () (=> @t72 @t71)) % 234.71/235.18 (define @t74 () (=> @t17 @t73)) % 234.71/235.18 (define @t75 () (forall @t9 @t74)) % 234.71/235.18 (define @t76 () (tptp.tl @t2)) % 234.71/235.18 (define @t77 () (tptp.tl @t54)) % 234.71/235.18 (define @t78 () (=> @t6 (= @t77 @t2))) % 234.71/235.18 (define @t79 () (forall @t7 @t78)) % 234.71/235.18 (define @t80 () (=> @t17 @t79)) % 234.71/235.18 (define @t81 () (forall @t9 @t80)) % 234.71/235.18 (define @t82 () (tptp.app @t2 @t1)) % 234.71/235.18 (define @t83 () (tptp.app @t1 @t2)) % 234.71/235.18 (define @t84 () (= (tptp.cons @t12 @t83) (tptp.app @t61 @t2))) % 234.71/235.18 (define @t85 () (forall @t16 (=> @t47 @t84))) % 234.71/235.18 (define @t86 () (=> @t30 @t85)) % 234.71/235.18 (define @t87 () (forall @t7 @t86)) % 234.71/235.18 (define @t88 () (=> @t17 @t87)) % 234.71/235.18 (define @t89 () (forall @t9 @t88)) % 234.71/235.18 (define @t90 () (tptp.app tptp.nil @t2)) % 234.71/235.18 (define @t91 () (=> @t17 (= @t90 @t2))) % 234.71/235.18 (define @t92 () (forall @t9 @t91)) % 234.71/235.18 (define @t93 () (tptp.leq @t1 @t2)) % 234.71/235.18 (define @t94 () (tptp.leq @t2 @t1)) % 234.71/235.18 (define @t95 () (tptp.geq @t2 @t1)) % 234.71/235.18 (define @t96 () (tptp.lt @t1 @t2)) % 234.71/235.18 (define @t97 () (tptp.lt @t2 @t1)) % 234.71/235.18 (define @t98 () (tptp.lt @t2 @t12)) % 234.71/235.18 (define @t99 () (tptp.gt @t2 @t1)) % 234.71/235.18 (define @t100 () (tptp.memberP @t12 @t2)) % 234.71/235.18 (define @t101 () (tptp.singletonP tptp.nil)) % 234.71/235.18 (define @t102 () (not @t101)) % 234.71/235.18 (define @t103 () (tptp.frontsegP @t1 @t12)) % 234.71/235.18 (define @t104 () (tptp.frontsegP @t1 @t2)) % 234.71/235.18 (define @t105 () (tptp.cons @t2 @t12)) % 234.71/235.18 (define @t106 () (= (tptp.frontsegP @t105 @t11) (and @t3 (tptp.frontsegP @t12 @t10)))) % 234.71/235.18 (define @t107 () (forall @t14 (=> @t13 @t106))) % 234.71/235.18 (define @t108 () (=> @t15 @t107)) % 234.71/235.18 (define @t109 () (forall @t16 @t108)) % 234.71/235.18 (define @t110 () (=> @t6 @t109)) % 234.71/235.18 (define @t111 () (forall @t7 @t110)) % 234.71/235.18 (define @t112 () (=> @t8 @t111)) % 234.71/235.18 (define @t113 () (forall @t9 @t112)) % 234.71/235.18 (define @t114 () (tptp.frontsegP @t2 tptp.nil)) % 234.71/235.18 (define @t115 () (forall @t9 (=> @t17 @t114))) % 234.71/235.18 (define @t116 () (tptp.app @t12 @t2)) % 234.71/235.18 (define @t117 () (tptp.segmentP @t2 @t2)) % 234.71/235.18 (define @t118 () (forall @t9 (=> @t17 @t117))) % 234.71/235.18 (define @t119 () (tptp.segmentP (tptp.app @t116 @t10) @t1)) % 234.71/235.18 (define @t120 () (=> @t37 @t119)) % 234.71/235.18 (define @t121 () (forall @t14 (=> @t13 @t120))) % 234.71/235.18 (define @t122 () (=> @t15 @t121)) % 234.71/235.18 (define @t123 () (forall @t16 @t122)) % 234.71/235.18 (define @t124 () (=> @t30 @t123)) % 234.71/235.18 (define @t125 () (forall @t7 @t124)) % 234.71/235.18 (define @t126 () (=> @t17 @t125)) % 234.71/235.18 (define @t127 () (forall @t9 @t126)) % 234.71/235.18 (define @t128 () (tptp.segmentP tptp.nil @t2)) % 234.71/235.18 (define @t129 () (=> @t17 (= @t128 @t66))) % 234.71/235.18 (define @t130 () (forall @t9 @t129)) % 234.71/235.18 (define @t131 () (tptp.cons @t2 tptp.nil)) % 234.71/235.18 (define @t132 () (tptp.totalorderedP @t131)) % 234.71/235.18 (define @t133 () (forall @t9 (=> @t8 @t132))) % 234.71/235.18 (define @t134 () (tptp.hd @t1)) % 234.71/235.18 (define @t135 () (= tptp.nil @t1)) % 234.71/235.18 (define @t136 () (not @t135)) % 234.71/235.18 (define @t137 () (tptp.cons @t2 @t1)) % 234.71/235.18 (define @t138 () (tptp.cons @t70 @t76)) % 234.71/235.18 (define @t139 () (=> @t72 (= @t138 @t2))) % 234.71/235.18 (define @t140 () (=> @t17 @t139)) % 234.71/235.18 (define @t141 () (forall @t9 @t140)) % 234.71/235.18 (define @t142 () (= @t12 @t2)) % 234.71/235.18 (define @t143 () (tptp.totalorderedP @t40)) % 234.71/235.18 (define @t144 () (tptp.segmentP @t40 @t12)) % 234.71/235.18 (define @t145 () (tptp.frontsegP @t10 @t40)) % 234.71/235.18 (define @t146 () (tptp.neq @t12 @t40)) % 234.71/235.18 (define @t147 () (and @t43 @t146 @t145 @t144 @t143)) % 234.71/235.18 (define @t148 () (exists @t44 @t147)) % 234.71/235.18 (define @t149 () (tptp.segmentP @t2 @t41)) % 234.71/235.18 (define @t150 () (tptp.segmentP @t1 @t41)) % 234.71/235.18 (define @t151 () (tptp.neq @t41 tptp.nil)) % 234.71/235.18 (define @t152 () (and @t45 @t151 @t150 @t149)) % 234.71/235.18 (define @t153 () (exists @t46 @t152)) % 234.71/235.18 (define @t154 () (not (tptp.totalorderedP @t12))) % 234.71/235.18 (define @t155 () (not (tptp.frontsegP @t10 @t12))) % 234.71/235.18 (define @t156 () (not (tptp.neq @t1 tptp.nil))) % 234.71/235.18 (define @t157 () (not (= @t2 @t12))) % 234.71/235.18 (define @t158 () (not (= @t1 @t10))) % 234.71/235.18 (define @t159 () (or @t158 @t157 @t156 @t155 @t154 @t153 @t148)) % 234.71/235.18 (define @t160 () (=> @t13 @t159)) % 234.71/235.18 (define @t161 () (forall @t14 @t160)) % 234.71/235.18 (define @t162 () (=> @t15 @t161)) % 234.71/235.18 (define @t163 () (forall @t16 @t162)) % 234.71/235.18 (define @t164 () (=> @t30 @t163)) % 234.71/235.18 (define @t165 () (forall @t7 @t164)) % 234.71/235.18 (define @t166 () (=> @t17 @t165)) % 234.71/235.18 (define @t167 () (forall @t9 @t166)) % 234.71/235.18 (define @t168 () (not @t167)) % 234.71/235.18 (define @t169 () (= @t2 @t90)) % 234.71/235.18 (define @t170 () (tptp.app tptp.nil tptp.nil)) % 234.71/235.18 (define @t171 () (= tptp.nil @t170)) % 234.71/235.18 (define @t172 () (not @t59)) % 234.71/235.18 (define @t173 () (or @t172 @t171)) % 234.71/235.18 (define @t174 () (@list false false)) % 234.71/235.18 (define @t175 () (@var "BOUND_VARIABLE_9406" $$unsorted)) % 234.71/235.18 (define @t176 () (@var "BOUND_VARIABLE_9408" $$unsorted)) % 234.71/235.18 (define @t177 () (= (tptp.cons @t176 (tptp.app @t175 @t2)) (tptp.app (tptp.cons @t176 @t175) @t2))) % 234.71/235.18 (define @t178 () (not (tptp.ssItem @t176))) % 234.71/235.18 (define @t179 () (not (tptp.ssList @t175))) % 234.71/235.18 (define @t180 () (not @t17)) % 234.71/235.18 (define @t181 () (or @t179 @t178 @t177)) % 234.71/235.18 (define @t182 () (or @t180 @t181)) % 234.71/235.18 (define @t183 () (forall (@list @t2 @t175 @t176) @t182)) % 234.71/235.18 (define @t184 () (@list @t175 @t176)) % 234.71/235.18 (define @t185 () (forall @t184 @t182)) % 234.71/235.18 (define @t186 () (forall @t184 @t181)) % 234.71/235.18 (define @t187 () (@var "BOUND_VARIABLE_9388" $$unsorted)) % 234.71/235.18 (define @t188 () (or @t180 @t186)) % 234.71/235.18 (define @t189 () (= (tptp.cons @t187 @t83) (tptp.app (tptp.cons @t187 @t1) @t2))) % 234.71/235.18 (define @t190 () (not (tptp.ssItem @t187))) % 234.71/235.18 (define @t191 () (not @t30)) % 234.71/235.18 (define @t192 () (or @t191 @t190 @t189)) % 234.71/235.18 (define @t193 () (@list @t1 @t187)) % 234.71/235.18 (define @t194 () (forall @t193 @t192)) % 234.71/235.18 (define @t195 () (or @t190 @t189)) % 234.71/235.18 (define @t196 () (or @t191 @t195)) % 234.71/235.18 (define @t197 () (forall @t193 @t196)) % 234.71/235.18 (define @t198 () (@list @t187)) % 234.71/235.18 (define @t199 () (forall @t198 @t196)) % 234.71/235.18 (define @t200 () (forall @t198 @t195)) % 234.71/235.18 (define @t201 () (@list @t12)) % 234.71/235.18 (define @t202 () (or @t191 @t200)) % 234.71/235.18 (define @t203 () (not @t47)) % 234.71/235.18 (define @t204 () (forall @t16 (or @t203 @t84))) % 234.71/235.18 (define @t205 () (not @t143)) % 234.71/235.18 (define @t206 () (not (tptp.segmentP @t40 @t2))) % 234.71/235.18 (define @t207 () (@var "BOUND_VARIABLE_10996" $$unsorted)) % 234.71/235.18 (define @t208 () (not (tptp.neq @t2 @t40))) % 234.71/235.18 (define @t209 () (not @t43)) % 234.71/235.18 (define @t210 () (not (forall @t44 (or @t209 @t208 (not (tptp.frontsegP @t207 @t40)) @t206 @t205)))) % 234.71/235.18 (define @t211 () (not (tptp.frontsegP @t207 @t2))) % 234.71/235.18 (define @t212 () (not @t149)) % 234.71/235.18 (define @t213 () (not @t151)) % 234.71/235.18 (define @t214 () (not @t45)) % 234.71/235.18 (define @t215 () (not (forall @t46 (or @t214 @t213 (not (tptp.segmentP @t207 @t41)) @t212)))) % 234.71/235.18 (define @t216 () (not (tptp.neq @t207 tptp.nil))) % 234.71/235.18 (define @t217 () (not (tptp.ssList @t207))) % 234.71/235.18 (define @t218 () (not @t49)) % 234.71/235.18 (define @t219 () (or @t180 @t218 @t217 @t216 @t215 @t211 @t210)) % 234.71/235.18 (define @t220 () (@list @t2 @t207)) % 234.71/235.18 (define @t221 () (forall @t220 @t219)) % 234.71/235.18 (define @t222 () (@quantifiers_skolemize @t221 1)) % 234.71/235.18 (define @t223 () (tptp.hd @t222)) % 234.71/235.18 (define @t224 () (= @t2 tptp.nil)) % 234.71/235.18 (define @t225 () (or @t180 @t224 @t71)) % 234.71/235.18 (define @t226 () (not @t224)) % 234.71/235.18 (define @t227 () (not @t226)) % 234.71/235.18 (define @t228 () (=> @t226 @t71)) % 234.71/235.18 (define @t229 () (tptp.ssItem @t223)) % 234.71/235.18 (define @t230 () (tptp.ssList @t222)) % 234.71/235.18 (define @t231 () (not @t230)) % 234.71/235.18 (define @t232 () (= @t222 tptp.nil)) % 234.71/235.18 (define @t233 () (or @t231 @t232 @t229)) % 234.71/235.18 (define @t234 () (forall @t9 @t225)) % 234.71/235.18 (define @t235 () (@list @t222)) % 234.71/235.18 (define @t236 () (= tptp.nil @t222)) % 234.71/235.18 (define @t237 () (or @t231 @t236 @t229)) % 234.71/235.18 (define @t238 () (@list false)) % 234.71/235.18 (define @t239 () (@var "BOUND_VARIABLE_9104" $$unsorted)) % 234.71/235.18 (define @t240 () (= (tptp.neq @t2 @t239) (not (= @t2 @t239)))) % 234.71/235.18 (define @t241 () (not (tptp.ssList @t239))) % 234.71/235.18 (define @t242 () (or @t180 @t241 @t240)) % 234.71/235.18 (define @t243 () (or @t241 @t240)) % 234.71/235.18 (define @t244 () (or @t180 @t243)) % 234.71/235.18 (define @t245 () (@list @t2 @t239)) % 234.71/235.18 (define @t246 () (forall @t245 @t244)) % 234.71/235.18 (define @t247 () (@list @t239)) % 234.71/235.18 (define @t248 () (forall @t247 @t244)) % 234.71/235.18 (define @t249 () (forall @t247 @t243)) % 234.71/235.18 (define @t250 () (@list @t1)) % 234.71/235.18 (define @t251 () (or @t180 @t249)) % 234.71/235.18 (define @t252 () (forall @t7 (or @t191 @t5))) % 234.71/235.19 (define @t253 () (not @t232)) % 234.71/235.19 (define @t254 () (tptp.neq @t222 tptp.nil)) % 234.71/235.19 (define @t255 () (= @t254 @t253)) % 234.71/235.19 (define @t256 () (or @t231 @t172 @t255)) % 234.71/235.19 (define @t257 () (forall @t245 @t242)) % 234.71/235.19 (define @t258 () (not @t236)) % 234.71/235.19 (define @t259 () (= @t254 @t258)) % 234.71/235.19 (define @t260 () (or @t231 @t172 @t259)) % 234.71/235.19 (define @t261 () (@list @t257)) % 234.71/235.19 (define @t262 () (or @t217 @t216 @t215 @t211 @t210)) % 234.71/235.19 (define @t263 () (or @t180 @t218 @t262)) % 234.71/235.19 (define @t264 () (forall @t220 @t263)) % 234.71/235.19 (define @t265 () (@list @t207)) % 234.71/235.19 (define @t266 () (forall @t265 @t263)) % 234.71/235.19 (define @t267 () (forall @t265 @t262)) % 234.71/235.19 (define @t268 () (or @t180 @t218 @t267)) % 234.71/235.19 (define @t269 () (not (tptp.frontsegP @t1 @t40))) % 234.71/235.19 (define @t270 () (not (forall @t44 (or @t209 @t208 @t269 @t206 @t205)))) % 234.71/235.19 (define @t271 () (not @t104)) % 234.71/235.19 (define @t272 () (not @t150)) % 234.71/235.19 (define @t273 () (or @t214 @t213 @t272 @t212)) % 234.71/235.19 (define @t274 () (not (forall @t46 @t273))) % 234.71/235.19 (define @t275 () (or @t191 @t156 @t274 @t271 @t270)) % 234.71/235.19 (define @t276 () (or @t180 @t218 (forall @t7 @t275))) % 234.71/235.19 (define @t277 () (or @t180 @t218 @t275)) % 234.71/235.19 (define @t278 () (or @t191 @t156 @t274 @t180 @t218 @t271 @t270)) % 234.71/235.19 (define @t279 () (or @t156 @t274 @t191 @t180 @t218 @t271 @t270)) % 234.71/235.19 (define @t280 () (or @t180 @t218 @t271 @t270)) % 234.71/235.19 (define @t281 () (not (= @t2 @t2))) % 234.71/235.19 (define @t282 () (or @t180 @t281 @t218 @t271 @t270)) % 234.71/235.19 (define @t283 () (not @t144)) % 234.71/235.19 (define @t284 () (not @t146)) % 234.71/235.19 (define @t285 () (not (forall @t44 (or @t209 @t284 @t269 @t283 @t205)))) % 234.71/235.19 (define @t286 () (not @t103)) % 234.71/235.19 (define @t287 () (not @t15)) % 234.71/235.19 (define @t288 () (or @t157 @t287 @t157 @t154 @t286 @t285)) % 234.71/235.19 (define @t289 () (or @t287 @t157 @t154 @t286 @t285)) % 234.71/235.19 (define @t290 () (forall @t16 @t289)) % 234.71/235.19 (define @t291 () (or @t156 @t274 @t191 @t290)) % 234.71/235.19 (define @t292 () (or @t156 @t274 @t191 @t289)) % 234.71/235.19 (define @t293 () (or @t287 @t157 @t156 @t154 @t274 @t191 @t286 @t285)) % 234.71/235.19 (define @t294 () (or @t157 @t156 @t154 @t274 @t191 @t286 @t285)) % 234.71/235.19 (define @t295 () (or @t191 @t286 @t285)) % 234.71/235.19 (define @t296 () (not (= @t1 @t1))) % 234.71/235.19 (define @t297 () (or @t191 @t296 @t286 @t285)) % 234.71/235.19 (define @t298 () (not @t145)) % 234.71/235.19 (define @t299 () (or @t209 @t284 @t298 @t283 @t205)) % 234.71/235.19 (define @t300 () (not (forall @t44 @t299))) % 234.71/235.19 (define @t301 () (not @t13)) % 234.71/235.19 (define @t302 () (or @t158 @t301 @t158 @t155 @t300)) % 234.71/235.19 (define @t303 () (or @t301 @t158 @t155 @t300)) % 234.71/235.19 (define @t304 () (forall @t14 @t303)) % 234.71/235.19 (define @t305 () (or @t157 @t156 @t154 @t274 @t304)) % 234.71/235.19 (define @t306 () (or @t157 @t156 @t154 @t274 @t303)) % 234.71/235.19 (define @t307 () (or @t301 @t158 @t157 @t156 @t155 @t154 @t274 @t300)) % 234.71/235.19 (define @t308 () (or @t158 @t157 @t156 @t155 @t154 @t274 @t300)) % 234.71/235.19 (define @t309 () (forall @t44 (not @t147))) % 234.71/235.19 (define @t310 () (not @t309)) % 234.71/235.19 (define @t311 () (forall @t46 (not @t152))) % 234.71/235.19 (define @t312 () (not @t311)) % 234.71/235.19 (define @t313 () (@quantifiers_skolemize @t221 0)) % 234.71/235.19 (define @t314 () (forall @t44 (or @t209 (not (tptp.neq @t313 @t40)) (not (tptp.frontsegP @t222 @t40)) (not (tptp.segmentP @t40 @t313)) @t205))) % 234.71/235.19 (define @t315 () (not @t314)) % 234.71/235.19 (define @t316 () (tptp.frontsegP @t222 @t313)) % 234.71/235.19 (define @t317 () (not @t316)) % 234.71/235.19 (define @t318 () (forall @t46 (or @t214 @t213 (not (tptp.segmentP @t222 @t41)) (not (tptp.segmentP @t313 @t41))))) % 234.71/235.19 (define @t319 () (not @t318)) % 234.71/235.19 (define @t320 () (not @t254)) % 234.71/235.19 (define @t321 () (tptp.ssList @t313)) % 234.71/235.19 (define @t322 () (not @t321)) % 234.71/235.19 (define @t323 () (or @t322 (not (tptp.totalorderedP @t313)) @t231 @t320 @t319 @t317 @t315)) % 234.71/235.19 (define @t324 () (@list true)) % 234.71/235.19 (define @t325 () (@list @t323)) % 234.71/235.19 (define @t326 () (@list false false false)) % 234.71/235.19 (define @t327 () (@list false true false)) % 234.71/235.19 (define @t328 () (tptp.cons @t223 tptp.nil)) % 234.71/235.19 (define @t329 () (tptp.app @t328 tptp.nil)) % 234.71/235.19 (define @t330 () (= (tptp.cons @t223 @t170) @t329)) % 234.71/235.19 (define @t331 () (not @t229)) % 234.71/235.19 (define @t332 () (or @t172 @t172 @t331 @t330)) % 234.71/235.19 (define @t333 () (@var "BOUND_VARIABLE_9903" $$unsorted)) % 234.71/235.19 (define @t334 () (@var "BOUND_VARIABLE_9901" $$unsorted)) % 234.71/235.19 (define @t335 () (@var "BOUND_VARIABLE_9899" $$unsorted)) % 234.71/235.19 (define @t336 () (= (tptp.frontsegP (tptp.cons @t2 @t334) (tptp.cons @t335 @t333)) (and (= @t2 @t335) (tptp.frontsegP @t334 @t333)))) % 234.71/235.19 (define @t337 () (not (tptp.ssList @t333))) % 234.71/235.19 (define @t338 () (not (tptp.ssList @t334))) % 234.71/235.19 (define @t339 () (not (tptp.ssItem @t335))) % 234.71/235.19 (define @t340 () (not @t8)) % 234.71/235.19 (define @t341 () (or @t340 @t339 @t338 @t337 @t336)) % 234.71/235.19 (define @t342 () (or @t339 @t338 @t337 @t336)) % 234.71/235.19 (define @t343 () (or @t340 @t342)) % 234.71/235.19 (define @t344 () (@list @t2 @t335 @t334 @t333)) % 234.71/235.19 (define @t345 () (forall @t344 @t343)) % 234.71/235.19 (define @t346 () (@list @t335 @t334 @t333)) % 234.71/235.19 (define @t347 () (forall @t346 @t343)) % 234.71/235.19 (define @t348 () (forall @t346 @t342)) % 234.71/235.19 (define @t349 () (@var "BOUND_VARIABLE_9877" $$unsorted)) % 234.71/235.19 (define @t350 () (@var "BOUND_VARIABLE_9875" $$unsorted)) % 234.71/235.19 (define @t351 () (or @t340 @t348)) % 234.71/235.19 (define @t352 () (= (tptp.frontsegP (tptp.cons @t2 @t350) (tptp.cons @t1 @t349)) (and @t3 (tptp.frontsegP @t350 @t349)))) % 234.71/235.19 (define @t353 () (not (tptp.ssList @t349))) % 234.71/235.19 (define @t354 () (not (tptp.ssList @t350))) % 234.71/235.19 (define @t355 () (not @t6)) % 234.71/235.19 (define @t356 () (or @t355 @t354 @t353 @t352)) % 234.71/235.19 (define @t357 () (@list @t1 @t350 @t349)) % 234.71/235.19 (define @t358 () (forall @t357 @t356)) % 234.71/235.19 (define @t359 () (or @t354 @t353 @t352)) % 234.71/235.19 (define @t360 () (or @t355 @t359)) % 234.71/235.19 (define @t361 () (forall @t357 @t360)) % 234.71/235.19 (define @t362 () (@list @t350 @t349)) % 234.71/235.19 (define @t363 () (forall @t362 @t360)) % 234.71/235.19 (define @t364 () (forall @t362 @t359)) % 234.71/235.19 (define @t365 () (@var "BOUND_VARIABLE_9856" $$unsorted)) % 234.71/235.19 (define @t366 () (or @t355 @t364)) % 234.71/235.19 (define @t367 () (= (tptp.frontsegP @t105 (tptp.cons @t1 @t365)) (and @t3 (tptp.frontsegP @t12 @t365)))) % 234.71/235.19 (define @t368 () (not (tptp.ssList @t365))) % 234.71/235.19 (define @t369 () (or @t287 @t368 @t367)) % 234.71/235.19 (define @t370 () (@list @t12 @t365)) % 234.71/235.19 (define @t371 () (forall @t370 @t369)) % 234.71/235.19 (define @t372 () (or @t368 @t367)) % 234.71/235.19 (define @t373 () (or @t287 @t372)) % 234.71/235.19 (define @t374 () (forall @t370 @t373)) % 234.71/235.19 (define @t375 () (@list @t365)) % 234.71/235.19 (define @t376 () (forall @t375 @t373)) % 234.71/235.19 (define @t377 () (forall @t375 @t372)) % 234.71/235.19 (define @t378 () (@list @t10)) % 234.71/235.19 (define @t379 () (or @t287 @t377)) % 234.71/235.19 (define @t380 () (forall @t14 (or @t301 @t106))) % 234.71/235.19 (define @t381 () (tptp.tl @t222)) % 234.71/235.19 (define @t382 () (tptp.cons @t223 @t381)) % 234.71/235.19 (define @t383 () (tptp.frontsegP @t382 @t328)) % 234.71/235.19 (define @t384 () (tptp.frontsegP @t381 tptp.nil)) % 234.71/235.19 (define @t385 () (and (= @t223 @t223) @t384)) % 234.71/235.19 (define @t386 () (= @t383 @t385)) % 234.71/235.19 (define @t387 () (tptp.ssList @t381)) % 234.71/235.19 (define @t388 () (not @t387)) % 234.71/235.19 (define @t389 () (or @t331 @t331 @t388 @t172 @t386)) % 234.71/235.19 (define @t390 () (forall @t344 @t341)) % 234.71/235.19 (define @t391 () (= @t384 @t383)) % 234.71/235.19 (define @t392 () (or @t331 @t331 @t388 @t172 @t391)) % 234.71/235.19 (define @t393 () (@var "BOUND_VARIABLE_9262" $$unsorted)) % 234.71/235.19 (define @t394 () (tptp.cons @t393 @t1)) % 234.71/235.19 (define @t395 () (not (= @t2 @t394))) % 234.71/235.19 (define @t396 () (not (tptp.ssItem @t393))) % 234.71/235.19 (define @t397 () (or @t191 @t396 @t395)) % 234.71/235.19 (define @t398 () (@list @t1 @t393)) % 234.71/235.19 (define @t399 () (not (forall @t398 @t397))) % 234.71/235.19 (define @t400 () (or @t180 @t224 @t399)) % 234.71/235.19 (define @t401 () (or @t224 @t399)) % 234.71/235.19 (define @t402 () (or @t396 @t395)) % 234.71/235.19 (define @t403 () (or @t191 @t402)) % 234.71/235.19 (define @t404 () (forall @t398 @t403)) % 234.71/235.19 (define @t405 () (@list @t393)) % 234.71/235.19 (define @t406 () (forall @t405 @t403)) % 234.71/235.19 (define @t407 () (forall @t405 @t402)) % 234.71/235.19 (define @t408 () (or @t191 @t407)) % 234.71/235.19 (define @t409 () (= @t2 @t61)) % 234.71/235.19 (define @t410 () (forall @t16 (or @t203 (not @t409)))) % 234.71/235.19 (define @t411 () (not @t410)) % 234.71/235.19 (define @t412 () (and @t30 @t411)) % 234.71/235.19 (define @t413 () (forall @t7 (not @t412))) % 234.71/235.19 (define @t414 () (not @t413)) % 234.71/235.19 (define @t415 () (and @t47 @t409)) % 234.71/235.19 (define @t416 () (forall @t16 (not @t415))) % 234.71/235.19 (define @t417 () (not @t416)) % 234.71/235.19 (define @t418 () (not (= @t222 @t394))) % 234.71/235.19 (define @t419 () (or @t191 @t396 @t418)) % 234.71/235.19 (define @t420 () (forall @t398 @t419)) % 234.71/235.19 (define @t421 () (not @t420)) % 234.71/235.19 (define @t422 () (or @t231 @t232 @t421)) % 234.71/235.19 (define @t423 () (forall @t9 @t400)) % 234.71/235.19 (define @t424 () (forall @t398 (or @t191 @t396 (not (= @t394 @t222))))) % 234.71/235.19 (define @t425 () (not @t424)) % 234.71/235.19 (define @t426 () (or @t231 @t236 @t425)) % 234.71/235.19 (define @t427 () (@quantifiers_skolemize @t424 0)) % 234.71/235.19 (define @t428 () (@quantifiers_skolemize @t424 1)) % 234.71/235.19 (define @t429 () (tptp.cons @t428 @t427)) % 234.71/235.19 (define @t430 () (= @t222 @t429)) % 234.71/235.19 (define @t431 () (not @t430)) % 234.71/235.19 (define @t432 () (tptp.ssItem @t428)) % 234.71/235.19 (define @t433 () (not @t432)) % 234.71/235.19 (define @t434 () (tptp.ssList @t427)) % 234.71/235.19 (define @t435 () (not @t434)) % 234.71/235.19 (define @t436 () (or @t435 @t433 @t431)) % 234.71/235.19 (define @t437 () (not @t436)) % 234.71/235.19 (define @t438 () (not (= @t429 @t222))) % 234.71/235.19 (define @t439 () (or @t435 @t433 @t438)) % 234.71/235.19 (define @t440 () (not @t439)) % 234.71/235.19 (define @t441 () (@list @t436)) % 234.71/235.19 (define @t442 () (@var "BOUND_VARIABLE_9349" $$unsorted)) % 234.71/235.19 (define @t443 () (= @t2 (tptp.tl (tptp.cons @t442 @t2)))) % 234.71/235.19 (define @t444 () (not (tptp.ssItem @t442))) % 234.71/235.19 (define @t445 () (or @t444 @t443)) % 234.71/235.19 (define @t446 () (or @t180 @t445)) % 234.71/235.19 (define @t447 () (forall (@list @t2 @t442) @t446)) % 234.71/235.19 (define @t448 () (@list @t442)) % 234.71/235.19 (define @t449 () (forall @t448 @t446)) % 234.71/235.19 (define @t450 () (forall @t448 @t445)) % 234.71/235.19 (define @t451 () (or @t180 @t450)) % 234.71/235.19 (define @t452 () (= @t2 @t77)) % 234.71/235.19 (define @t453 () (forall @t7 (or @t355 @t452))) % 234.71/235.19 (define @t454 () (= @t427 (tptp.tl @t429))) % 234.71/235.19 (define @t455 () (or @t435 @t433 @t454)) % 234.71/235.19 (define @t456 () (@list false false false false)) % 234.71/235.19 (define @t457 () (tptp.frontsegP @t427 tptp.nil)) % 234.71/235.19 (define @t458 () (or @t435 @t457)) % 234.71/235.19 (define @t459 () (= @t2 @t138)) % 234.71/235.19 (define @t460 () (or @t180 @t224 @t459)) % 234.71/235.19 (define @t461 () (=> @t226 @t459)) % 234.71/235.19 (define @t462 () (= @t222 @t382)) % 234.71/235.19 (define @t463 () (or @t231 @t232 @t462)) % 234.71/235.19 (define @t464 () (forall @t9 @t460)) % 234.71/235.19 (define @t465 () (or @t231 @t236 @t462)) % 234.71/235.19 (define @t466 () (tptp.frontsegP @t222 @t328)) % 234.71/235.19 (define @t467 () (tptp.neq @t313 @t328)) % 234.71/235.19 (define @t468 () (= @t313 @t328)) % 234.71/235.19 (define @t469 () (not @t468)) % 234.71/235.19 (define @t470 () (tptp.ssList @t328)) % 234.71/235.19 (define @t471 () (not @t470)) % 234.71/235.19 (define @t472 () (or @t322 @t471 (= @t467 @t469))) % 234.71/235.19 (define @t473 () (= @t469 @t467)) % 234.71/235.19 (define @t474 () (or @t322 @t471 @t473)) % 234.71/235.19 (define @t475 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 234.71/235.19 (define @t476 () (tptp.ssList (tptp.cons @t475 @t2))) % 234.71/235.19 (define @t477 () (not (tptp.ssItem @t475))) % 234.71/235.19 (define @t478 () (or @t477 @t476)) % 234.71/235.19 (define @t479 () (or @t180 @t478)) % 234.71/235.19 (define @t480 () (forall (@list @t2 @t475) @t479)) % 234.71/235.19 (define @t481 () (@list @t475)) % 234.71/235.19 (define @t482 () (forall @t481 @t479)) % 234.71/235.19 (define @t483 () (forall @t481 @t478)) % 234.71/235.19 (define @t484 () (or @t180 @t483)) % 234.71/235.19 (define @t485 () (forall @t7 (or @t355 @t55))) % 234.71/235.19 (define @t486 () (or @t172 @t331 @t470)) % 234.71/235.19 (define @t487 () (= @t2 @t18)) % 234.71/235.19 (define @t488 () (= @t21 (not (forall @t7 (or @t355 (not @t487)))))) % 234.71/235.19 (define @t489 () (and @t6 @t487)) % 234.71/235.19 (define @t490 () (forall @t7 (not @t489))) % 234.71/235.19 (define @t491 () (not @t490)) % 234.71/235.19 (define @t492 () (not (= @t313 @t18))) % 234.71/235.19 (define @t493 () (or @t355 @t492)) % 234.71/235.19 (define @t494 () (forall @t7 @t493)) % 234.71/235.19 (define @t495 () (not @t494)) % 234.71/235.19 (define @t496 () (tptp.singletonP @t313)) % 234.71/235.19 (define @t497 () (= @t496 @t495)) % 234.71/235.19 (define @t498 () (or @t322 @t497)) % 234.71/235.19 (define @t499 () (forall @t9 (or @t180 @t488))) % 234.71/235.19 (define @t500 () (@list @t313)) % 234.71/235.19 (define @t501 () (forall @t7 (or @t355 (not (= @t18 @t313))))) % 234.71/235.19 (define @t502 () (not @t501)) % 234.71/235.19 (define @t503 () (= @t496 @t502)) % 234.71/235.19 (define @t504 () (or @t322 @t503)) % 234.71/235.19 (define @t505 () (= @t313 tptp.nil)) % 234.71/235.19 (define @t506 () (not @t505)) % 234.71/235.19 (define @t507 () (tptp.neq @t313 tptp.nil)) % 234.71/235.19 (define @t508 () (= @t507 @t506)) % 234.71/235.19 (define @t509 () (or @t322 @t172 @t508)) % 234.71/235.19 (define @t510 () (= tptp.nil @t313)) % 234.71/235.19 (define @t511 () (not @t510)) % 234.71/235.19 (define @t512 () (= @t507 @t511)) % 234.71/235.19 (define @t513 () (or @t322 @t172 @t512)) % 234.71/235.19 (define @t514 () (@var "BOUND_VARIABLE_10203" $$unsorted)) % 234.71/235.19 (define @t515 () (@var "BOUND_VARIABLE_10207" $$unsorted)) % 234.71/235.19 (define @t516 () (@var "BOUND_VARIABLE_10205" $$unsorted)) % 234.71/235.19 (define @t517 () (tptp.segmentP (tptp.app (tptp.app @t516 @t2) @t515) @t514)) % 234.71/235.19 (define @t518 () (not (tptp.ssList @t515))) % 234.71/235.19 (define @t519 () (not (tptp.ssList @t516))) % 234.71/235.19 (define @t520 () (not (tptp.segmentP @t2 @t514))) % 234.71/235.19 (define @t521 () (not (tptp.ssList @t514))) % 234.71/235.19 (define @t522 () (or @t521 @t520 @t519 @t518 @t517)) % 234.71/235.19 (define @t523 () (or @t180 @t522)) % 234.71/235.19 (define @t524 () (forall (@list @t2 @t514 @t516 @t515) @t523)) % 234.71/235.19 (define @t525 () (@list @t514 @t516 @t515)) % 234.71/235.19 (define @t526 () (forall @t525 @t523)) % 234.71/235.19 (define @t527 () (forall @t525 @t522)) % 234.71/235.19 (define @t528 () (@var "BOUND_VARIABLE_10184" $$unsorted)) % 234.71/235.19 (define @t529 () (@var "BOUND_VARIABLE_10182" $$unsorted)) % 234.71/235.19 (define @t530 () (or @t180 @t527)) % 234.71/235.19 (define @t531 () (tptp.segmentP (tptp.app (tptp.app @t529 @t2) @t528) @t1)) % 234.71/235.19 (define @t532 () (not (tptp.ssList @t528))) % 234.71/235.19 (define @t533 () (not (tptp.ssList @t529))) % 234.71/235.19 (define @t534 () (not @t37)) % 234.71/235.19 (define @t535 () (or @t191 @t534 @t533 @t532 @t531)) % 234.71/235.19 (define @t536 () (@list @t1 @t529 @t528)) % 234.71/235.19 (define @t537 () (forall @t536 @t535)) % 234.71/235.19 (define @t538 () (or @t533 @t532 @t531)) % 234.71/235.19 (define @t539 () (or @t191 @t534 @t538)) % 234.71/235.19 (define @t540 () (forall @t536 @t539)) % 234.71/235.19 (define @t541 () (@list @t529 @t528)) % 234.71/235.19 (define @t542 () (forall @t541 @t539)) % 234.71/235.19 (define @t543 () (forall @t541 @t538)) % 234.71/235.19 (define @t544 () (@var "BOUND_VARIABLE_10165" $$unsorted)) % 234.71/235.19 (define @t545 () (or @t191 @t534 @t543)) % 234.71/235.19 (define @t546 () (tptp.segmentP (tptp.app @t116 @t544) @t1)) % 234.71/235.19 (define @t547 () (not (tptp.ssList @t544))) % 234.71/235.19 (define @t548 () (or @t287 @t547 @t546)) % 234.71/235.19 (define @t549 () (@list @t12 @t544)) % 234.71/235.19 (define @t550 () (forall @t549 @t548)) % 234.71/235.19 (define @t551 () (or @t191 @t534 @t550)) % 234.71/235.19 (define @t552 () (or @t534 @t550)) % 234.71/235.19 (define @t553 () (or @t547 @t546)) % 234.71/235.19 (define @t554 () (or @t287 @t553)) % 234.71/235.19 (define @t555 () (forall @t549 @t554)) % 234.71/235.19 (define @t556 () (@list @t544)) % 234.71/235.19 (define @t557 () (forall @t556 @t554)) % 234.71/235.19 (define @t558 () (forall @t556 @t553)) % 234.71/235.19 (define @t559 () (or @t287 @t558)) % 234.71/235.19 (define @t560 () (or @t301 @t119)) % 234.71/235.19 (define @t561 () (forall @t14 @t560)) % 234.71/235.19 (define @t562 () (or @t287 @t561)) % 234.71/235.19 (define @t563 () (forall @t16 @t562)) % 234.71/235.19 (define @t564 () (or @t534 @t563)) % 234.71/235.19 (define @t565 () (or @t534 @t562)) % 234.71/235.19 (define @t566 () (or @t287 @t534 @t561)) % 234.71/235.19 (define @t567 () (or @t534 @t561)) % 234.71/235.19 (define @t568 () (or @t534 @t560)) % 234.71/235.19 (define @t569 () (or @t301 @t534 @t119)) % 234.71/235.19 (define @t570 () (forall @t16 (or @t287 (not (= @t222 (tptp.app @t313 @t12)))))) % 234.71/235.19 (define @t571 () (@quantifiers_skolemize @t570 0)) % 234.71/235.19 (define @t572 () (@var "BOUND_VARIABLE_8312" $$unsorted)) % 234.71/235.19 (define @t573 () (= (tptp.frontsegP @t2 @t572) (not (forall @t16 (or @t287 (not (= @t2 (tptp.app @t572 @t12)))))))) % 234.71/235.19 (define @t574 () (not (tptp.ssList @t572))) % 234.71/235.19 (define @t575 () (or @t574 @t573)) % 234.71/235.19 (define @t576 () (or @t180 @t575)) % 234.71/235.19 (define @t577 () (forall (@list @t2 @t572) @t576)) % 234.71/235.19 (define @t578 () (@list @t572)) % 234.71/235.19 (define @t579 () (forall @t578 @t576)) % 234.71/235.19 (define @t580 () (forall @t578 @t575)) % 234.71/235.19 (define @t581 () (or @t180 @t580)) % 234.71/235.19 (define @t582 () (= @t2 @t25)) % 234.71/235.19 (define @t583 () (= @t28 (not (forall @t16 (or @t287 (not @t582)))))) % 234.71/235.19 (define @t584 () (forall @t7 (or @t191 @t583))) % 234.71/235.19 (define @t585 () (and @t15 @t582)) % 234.71/235.19 (define @t586 () (forall @t16 (not @t585))) % 234.71/235.19 (define @t587 () (not @t586)) % 234.71/235.19 (define @t588 () (not @t570)) % 234.71/235.19 (define @t589 () (= @t316 @t588)) % 234.71/235.19 (define @t590 () (or @t231 @t322 @t589)) % 234.71/235.19 (define @t591 () (tptp.ssList @t571)) % 234.71/235.19 (define @t592 () (tptp.app @t313 @t571)) % 234.71/235.19 (define @t593 () (= @t222 @t592)) % 234.71/235.19 (define @t594 () (not @t593)) % 234.71/235.19 (define @t595 () (not @t591)) % 234.71/235.19 (define @t596 () (or @t595 @t594)) % 234.71/235.19 (define @t597 () (@list @t596)) % 234.71/235.19 (define @t598 () (tptp.segmentP @t313 @t313)) % 234.71/235.19 (define @t599 () (or @t322 @t598)) % 234.71/235.19 (define @t600 () (tptp.app tptp.nil @t313)) % 234.71/235.19 (define @t601 () (tptp.segmentP (tptp.app @t600 @t571) @t313)) % 234.71/235.19 (define @t602 () (not @t598)) % 234.71/235.19 (define @t603 () (or @t322 @t322 @t602 @t172 @t595 @t601)) % 234.71/235.19 (define @t604 () (@list false false false false false)) % 234.71/235.19 (define @t605 () (= @t313 @t600)) % 234.71/235.19 (define @t606 () (or @t322 @t605)) % 234.71/235.19 (define @t607 () (tptp.segmentP @t222 @t313)) % 234.71/235.19 (define @t608 () (not @t607)) % 234.71/235.19 (define @t609 () (not @t507)) % 234.71/235.19 (define @t610 () (or @t322 @t609 @t608 @t602)) % 234.71/235.19 (define @t611 () (not @t512)) % 234.71/235.19 (define @t612 () (@list true false)) % 234.71/235.19 (define @t613 () (not @t496)) % 234.71/235.19 (define @t614 () (= false true)) % 234.71/235.19 (define @t615 () (and @t496 @t510 @t102)) % 234.71/235.19 (define @t616 () (not @t503)) % 234.71/235.19 (define @t617 () (not (= @t328 @t313))) % 234.71/235.19 (define @t618 () (or @t331 @t617)) % 234.71/235.19 (define @t619 () (@list @t223)) % 234.71/235.19 (define @t620 () (or @t331 @t469)) % 234.71/235.19 (define @t621 () (not @t473)) % 234.71/235.19 (define @t622 () (tptp.totalorderedP @t328)) % 234.71/235.19 (define @t623 () (or @t331 @t622)) % 234.71/235.19 (define @t624 () (not @t622)) % 234.71/235.19 (define @t625 () (tptp.segmentP @t328 @t313)) % 234.71/235.19 (define @t626 () (not @t625)) % 234.71/235.19 (define @t627 () (not @t466)) % 234.71/235.19 (define @t628 () (not @t467)) % 234.71/235.19 (define @t629 () (or @t471 @t628 @t627 @t626 @t624)) % 234.71/235.19 (define @t630 () (= @t128 @t224)) % 234.71/235.19 (define @t631 () (tptp.segmentP tptp.nil @t313)) % 234.71/235.19 (define @t632 () (or @t322 (= @t631 @t505))) % 234.71/235.19 (define @t633 () (forall @t9 (or @t180 @t630))) % 234.71/235.19 (define @t634 () (= @t510 @t631)) % 234.71/235.19 (define @t635 () (or @t322 @t634)) % 234.71/235.19 (define @t636 () (tptp.segmentP (tptp.app @t329 tptp.nil) @t313)) % 234.71/235.19 (define @t637 () (not @t631)) % 234.71/235.19 (define @t638 () (or @t172 @t322 @t637 @t471 @t172 @t636)) % 234.71/235.19 (define @t639 () (not @t636)) % 234.71/235.19 (define @t640 () (not @t330)) % 234.71/235.19 (define @t641 () (not @t171)) % 234.71/235.19 (define @t642 () (and @t636 @t330 @t171 @t626)) % 234.71/235.19 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 234.71/235.19 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 234.71/235.19 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 234.71/235.19 (assume @p4 @t24) % 234.71/235.19 (assume @p5 @t34) % 234.71/235.19 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (= @t36 (exists @t16 (and @t15 (= @t35 @t2))))))))) % 234.71/235.19 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (= @t37 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t35 @t10) @t2))))))))))) % 234.71/235.19 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (not (and @t39 @t38))))))))))))))))) % 234.71/235.19 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (or @t39 @t38)))))))))))))))) % 234.71/235.19 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (or @t48 (tptp.lt @t12 @t1))))))))))))))))) % 234.71/235.19 (assume @p11 (forall @t9 (=> @t17 (= @t49 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 @t39))))))))))))))) % 234.71/235.19 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 @t48))))))))))))))) % 234.71/235.19 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (not @t50)))))))))))))))) % 234.71/235.19 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t41))) @t2) @t50))))))))))))) % 234.71/235.19 (assume @p15 @t53) % 234.71/235.19 (assume @p16 @t58) % 234.71/235.19 (assume @p17 @t59) % 234.71/235.19 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 234.71/235.19 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t47 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t60))))))))))) % 234.71/235.19 (assume @p20 @t69) % 234.71/235.19 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 234.71/235.19 (assume @p22 @t75) % 234.71/235.19 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 234.71/235.19 (assume @p24 (forall @t9 (=> @t17 (=> @t72 (tptp.ssList @t76))))) % 234.71/235.19 (assume @p25 @t81) % 234.71/235.19 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (tptp.ssList @t82)))))) % 234.71/235.19 (assume @p27 @t89) % 234.71/235.19 (assume @p28 @t92) % 234.71/235.19 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t94 @t93) @t3)))))) % 234.71/235.19 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t94 @t39) (tptp.leq @t2 @t12))))))))) % 234.71/235.19 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 234.71/235.19 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t95 @t93)))))) % 234.71/235.19 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t97 (not @t96))))))) % 234.71/235.19 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t97 @t48) @t98)))))))) % 234.71/235.19 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t99 @t96)))))) % 234.71/235.19 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t100))))))))) % 234.71/235.19 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t100))))))))) % 234.71/235.19 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 234.71/235.19 (assume @p39 @t102) % 234.71/235.19 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (and @t28 @t103) (tptp.frontsegP @t2 @t12))))))))) % 234.71/235.19 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t28 @t104) @t3)))))) % 234.71/235.19 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 234.71/235.19 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> @t28 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 234.71/235.19 (assume @p44 @t113) % 234.71/235.19 (assume @p45 @t115) % 234.71/235.19 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t66)))) % 234.71/235.19 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (and @t36 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 234.71/235.19 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t36 (tptp.rearsegP @t1 @t2)) @t3)))))) % 234.71/235.19 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 234.71/235.19 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> @t36 (tptp.rearsegP @t116 @t1))))))))) % 234.71/235.19 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 234.71/235.19 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t66)))) % 234.71/235.19 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (and @t37 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 234.71/235.19 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t37 (tptp.segmentP @t1 @t2)) @t3)))))) % 234.71/235.19 (assume @p55 @t118) % 234.71/235.19 (assume @p56 @t127) % 234.71/235.19 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 234.71/235.19 (assume @p58 @t130) % 234.71/235.19 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t131)))) % 234.71/235.19 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 234.71/235.19 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t131)))) % 234.71/235.19 (assume @p62 (tptp.totalorderP tptp.nil)) % 234.71/235.19 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t131)))) % 234.71/235.19 (assume @p64 (tptp.strictorderP tptp.nil)) % 234.71/235.19 (assume @p65 @t133) % 234.71/235.19 (assume @p66 (tptp.totalorderedP tptp.nil)) % 234.71/235.19 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t30 (= (tptp.totalorderedP @t137) (or @t135 (and @t136 (tptp.totalorderedP @t1) (tptp.leq @t2 @t134))))))))) % 234.71/235.19 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t131)))) % 234.71/235.19 (assume @p69 (tptp.strictorderedP tptp.nil)) % 234.71/235.19 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t30 (= (tptp.strictorderedP @t137) (or @t135 (and @t136 (tptp.strictorderedP @t1) (tptp.lt @t2 @t134))))))))) % 234.71/235.19 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t131)))) % 234.71/235.19 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 234.71/235.19 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t131)))) % 234.71/235.19 (assume @p74 (tptp.equalelemsP tptp.nil)) % 234.71/235.19 (assume @p75 (forall @t9 (=> @t17 (=> @t72 (exists @t7 (and @t6 (= @t70 @t1))))))) % 234.71/235.19 (assume @p76 (forall @t9 (=> @t17 (=> @t72 (exists @t7 (and @t30 (= @t76 @t1))))))) % 234.71/235.19 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t136 @t72 (= @t134 @t70) (= (tptp.tl @t1) @t76)) @t60)))))) % 234.71/235.19 (assume @p78 @t141) % 234.71/235.19 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (= @t35 @t82) @t142)))))))) % 234.71/235.19 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (= @t25 @t83) @t142)))))))) % 234.71/235.19 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 234.71/235.19 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (= (tptp.app @t82 @t12) (tptp.app @t2 @t25))))))))) % 234.71/235.19 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (= (= tptp.nil @t82) (and @t135 @t66))))))) % 234.71/235.19 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 234.71/235.19 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> @t72 (= (tptp.hd @t82) @t70))))))) % 234.71/235.19 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> @t72 (= (tptp.tl @t82) (tptp.app @t76 @t1)))))))) % 234.71/235.19 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t95 (tptp.geq @t1 @t2)) @t3)))))) % 234.71/235.19 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t95 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 234.71/235.19 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 234.71/235.19 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 234.71/235.19 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t94 @t48) @t98)))))))) % 234.71/235.19 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t94 (or @t3 @t97))))))) % 234.71/235.19 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t97 (and @t4 @t94))))))) % 234.71/235.19 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t99 (not (tptp.gt @t1 @t2)))))))) % 234.71/235.19 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t99 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 234.71/235.19 (assume @p96 @t168) % 234.71/235.19 (assume @p97 true) % 234.71/235.19 (step @p98 :rule bool-impl-elim :args (@t17 @t169)) % 234.71/235.19 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t169)))) % 234.71/235.19 (step @p100 :rule eq-symm :args (@t90 @t2)) % 234.71/235.19 (step @p101 :rule refl :args (@t17)) % 234.71/235.19 (step @p102 :rule cong :premises (@p101 @p100) :args (@t91)) % 234.71/235.19 (step @p103 :rule cong :premises (@p102) :args (@t92)) % 234.71/235.19 (step @p104 :rule trans :premises (@p103 @p99)) % 234.71/235.19 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 234.71/235.19 (step @p106 :rule instantiate :premises (@p105) :args ((@list tptp.nil))) % 234.71/235.19 (step @p107 :rule cnf_or_pos :args (@t173)) % 234.71/235.19 (step @p108 :rule reordering :premises (@p107) :args ((or @t172 @t171 (not @t173)))) % 234.71/235.19 (step @p109 :rule chain_m_resolution :premises (@p108 @p17 @p106) :args (@t171 @t174 (@list @t59 @t173))) % 234.71/235.19 (step @p110 :rule aci_norm :args ((= @t182 (or @t180 @t179 @t178 @t177)))) % 234.71/235.19 (step @p111 :rule cong :premises (@p110) :args (@t183)) % 234.71/235.19 (step @p112 :rule quant-merge-prenex :args ((= (forall @t9 @t185) @t183))) % 234.71/235.19 (step @p113 :rule alpha_equiv :args (@t186 (@list @t175 @t176) (@list @t1 @t187))) % 234.71/235.19 (step @p114 :rule refl :args (@t180)) % 234.71/235.19 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t188)) % 234.71/235.19 (step @p116 :rule quant-miniscope-or :args ((= @t185 @t188))) % 234.71/235.19 (step @p117 :rule trans :premises (@p116 @p115)) % 234.71/235.19 (step @p118 :rule symm :premises (@p117)) % 234.71/235.19 (step @p119 :rule cong :premises (@p118) :args ((forall @t9 (or @t180 @t194)))) % 234.71/235.19 (step @p120 :rule trans :premises (@p119 @p112)) % 234.71/235.19 (step @p121 :rule trans :premises (@p120 @p111)) % 234.71/235.19 (step @p122 :rule bool-impl-elim :args (@t17 @t194)) % 234.71/235.19 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t194)))) % 234.71/235.19 (step @p124 :rule trans :premises (@p123 @p121)) % 234.71/235.19 (step @p125 :rule aci_norm :args ((= @t196 @t192))) % 234.71/235.19 (step @p126 :rule cong :premises (@p125) :args (@t197)) % 234.71/235.19 (step @p127 :rule quant-merge-prenex :args ((= (forall @t7 @t199) @t197))) % 234.71/235.19 (step @p128 :rule alpha_equiv :args (@t200 (@list @t187) @t201)) % 234.71/235.19 (step @p129 :rule refl :args (@t191)) % 234.71/235.19 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t202)) % 234.71/235.19 (step @p131 :rule quant-miniscope-or :args ((= @t199 @t202))) % 234.71/235.19 (step @p132 :rule trans :premises (@p131 @p130)) % 234.71/235.19 (step @p133 :rule symm :premises (@p132)) % 234.71/235.19 (step @p134 :rule cong :premises (@p133) :args ((forall @t7 (or @t191 @t204)))) % 234.71/235.19 (step @p135 :rule trans :premises (@p134 @p127)) % 234.71/235.19 (step @p136 :rule trans :premises (@p135 @p126)) % 234.71/235.19 (step @p137 :rule bool-impl-elim :args (@t30 @t204)) % 234.71/235.19 (step @p138 :rule cong :premises (@p137) :args ((forall @t7 (=> @t30 @t204)))) % 234.71/235.19 (step @p139 :rule trans :premises (@p138 @p136)) % 234.71/235.19 (step @p140 :rule bool-impl-elim :args (@t47 @t84)) % 234.71/235.19 (step @p141 :rule cong :premises (@p140) :args (@t85)) % 234.71/235.19 (step @p142 :rule refl :args (@t30)) % 234.71/235.19 (step @p143 :rule cong :premises (@p142 @p141) :args (@t86)) % 234.71/235.19 (step @p144 :rule cong :premises (@p143) :args (@t87)) % 234.71/235.19 (step @p145 :rule trans :premises (@p144 @p139)) % 234.71/235.19 (step @p146 :rule cong :premises (@p101 @p145) :args (@t88)) % 234.71/235.19 (step @p147 :rule cong :premises (@p146) :args (@t89)) % 234.71/235.19 (step @p148 :rule trans :premises (@p147 @p124)) % 234.71/235.19 (step @p149 :rule eq_resolve :premises (@p27 @p148)) % 234.71/235.19 (step @p150 :rule instantiate :premises (@p149) :args ((@list tptp.nil tptp.nil @t223))) % 234.71/235.19 (step @p151 :rule aci_norm :args ((= (or @t180 (or @t224 @t71)) @t225))) % 234.71/235.19 (step @p152 :rule refl :args (@t71)) % 234.71/235.19 (step @p153 :rule bool-double-not-elim :args (@t224)) % 234.71/235.19 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t227 @t71))) % 234.71/235.19 (step @p155 :rule bool-impl-elim :args (@t226 @t71)) % 234.71/235.19 (step @p156 :rule trans :premises (@p155 @p154)) % 234.71/235.19 (step @p157 :rule nary_cong :premises (@p114 @p156) :args ((or @t180 @t228))) % 234.71/235.19 (step @p158 :rule trans :premises (@p157 @p151)) % 234.71/235.19 (step @p159 :rule bool-impl-elim :args (@t17 @t228)) % 234.71/235.19 (step @p160 :rule trans :premises (@p159 @p158)) % 234.71/235.19 (step @p161 :rule cong :premises (@p160) :args ((forall @t9 (=> @t17 @t228)))) % 234.71/235.19 (step @p162 :rule refl :args (@t71)) % 234.71/235.19 (step @p163 :rule eq-symm :args (tptp.nil @t2)) % 234.71/235.19 (step @p164 :rule cong :premises (@p163) :args (@t72)) % 234.71/235.19 (step @p165 :rule cong :premises (@p164 @p162) :args (@t73)) % 234.71/235.19 (step @p166 :rule cong :premises (@p101 @p165) :args (@t74)) % 234.71/235.19 (step @p167 :rule cong :premises (@p166) :args (@t75)) % 234.71/235.19 (step @p168 :rule trans :premises (@p167 @p161)) % 234.71/235.19 (step @p169 :rule eq_resolve :premises (@p22 @p168)) % 234.71/235.19 (step @p170 :rule refl :args (@t229)) % 234.71/235.19 (step @p171 :rule eq-symm :args (@t222 tptp.nil)) % 234.71/235.19 (step @p172 :rule refl :args (@t231)) % 234.71/235.19 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170) :args (@t233)) % 234.71/235.19 (step @p174 :rule refl :args (@t234)) % 234.71/235.19 (step @p175 :rule cong :premises (@p174 @p173) :args ((=> @t234 @t233))) % 234.71/235.19 (assume-push @p1100 @t234) % 234.71/235.19 (step @p177 :rule instantiate :premises (@p169) :args (@t235)) % 234.71/235.19 (step-pop @p1101 :rule scope :premises (@p177)) % 234.71/235.19 (step @p178 :rule process_scope :premises (@p1101) :args (@t233)) % 234.71/235.19 (step @p180 :rule eq_resolve :premises (@p178 @p175)) % 234.71/235.19 (step @p181 :rule implies_elim :premises (@p180)) % 234.71/235.19 (step @p182 :rule chain_m_resolution :premises (@p181 @p169) :args (@t237 @t238 (@list @t234))) % 234.71/235.19 (step @p183 :rule aci_norm :args ((= @t244 @t242))) % 234.71/235.19 (step @p184 :rule cong :premises (@p183) :args (@t246)) % 234.71/235.19 (step @p185 :rule quant-merge-prenex :args ((= (forall @t9 @t248) @t246))) % 234.71/235.19 (step @p186 :rule alpha_equiv :args (@t249 (@list @t239) @t250)) % 234.71/235.19 (step @p187 :rule nary_cong :premises (@p114 @p186) :args (@t251)) % 234.71/235.19 (step @p188 :rule quant-miniscope-or :args ((= @t248 @t251))) % 234.71/235.19 (step @p189 :rule trans :premises (@p188 @p187)) % 234.71/235.19 (step @p190 :rule symm :premises (@p189)) % 234.71/235.19 (step @p191 :rule cong :premises (@p190) :args ((forall @t9 (or @t180 @t252)))) % 234.71/235.19 (step @p192 :rule trans :premises (@p191 @p185)) % 234.71/235.19 (step @p193 :rule trans :premises (@p192 @p184)) % 234.71/235.19 (step @p194 :rule bool-impl-elim :args (@t17 @t252)) % 234.71/235.19 (step @p195 :rule cong :premises (@p194) :args ((forall @t9 (=> @t17 @t252)))) % 234.71/235.19 (step @p196 :rule trans :premises (@p195 @p193)) % 234.71/235.19 (step @p197 :rule bool-impl-elim :args (@t30 @t5)) % 234.71/235.19 (step @p198 :rule cong :premises (@p197) :args (@t51)) % 234.71/235.19 (step @p199 :rule cong :premises (@p101 @p198) :args (@t52)) % 234.71/235.19 (step @p200 :rule cong :premises (@p199) :args (@t53)) % 234.71/235.19 (step @p201 :rule trans :premises (@p200 @p196)) % 234.71/235.19 (step @p202 :rule eq_resolve :premises (@p15 @p201)) % 234.71/235.19 (step @p203 :rule cong :premises (@p171) :args (@t253)) % 234.71/235.19 (step @p204 :rule refl :args (@t254)) % 234.71/235.19 (step @p205 :rule cong :premises (@p204 @p203) :args (@t255)) % 234.71/235.19 (step @p206 :rule refl :args (@t172)) % 234.71/235.19 (step @p207 :rule nary_cong :premises (@p172 @p206 @p205) :args (@t256)) % 234.71/235.19 (step @p208 :rule refl :args (@t257)) % 234.71/235.19 (step @p209 :rule cong :premises (@p208 @p207) :args ((=> @t257 @t256))) % 234.71/235.19 (assume-push @p1102 @t257) % 234.71/235.19 (step @p211 :rule instantiate :premises (@p202) :args ((@list @t222 tptp.nil))) % 234.71/235.19 (step-pop @p1103 :rule scope :premises (@p211)) % 234.71/235.19 (step @p212 :rule process_scope :premises (@p1103) :args (@t256)) % 234.71/235.19 (step @p214 :rule eq_resolve :premises (@p212 @p209)) % 234.71/235.19 (step @p215 :rule implies_elim :premises (@p214)) % 234.71/235.19 (step @p216 :rule chain_m_resolution :premises (@p215 @p202) :args (@t260 @t238 @t261)) % 234.71/235.19 (step @p217 :rule aci_norm :args ((= @t263 @t219))) % 234.71/235.19 (step @p218 :rule cong :premises (@p217) :args (@t264)) % 234.71/235.19 (step @p219 :rule quant-merge-prenex :args ((= (forall @t9 @t266) @t264))) % 234.71/235.19 (step @p220 :rule alpha_equiv :args (@t267 (@list @t207) @t250)) % 234.71/235.19 (step @p221 :rule refl :args (@t218)) % 234.71/235.19 (step @p222 :rule nary_cong :premises (@p114 @p221 @p220) :args (@t268)) % 234.71/235.19 (step @p223 :rule quant-miniscope-or :args ((= @t266 @t268))) % 234.71/235.19 (step @p224 :rule trans :premises (@p223 @p222)) % 234.71/235.19 (step @p225 :rule symm :premises (@p224)) % 234.71/235.19 (step @p226 :rule cong :premises (@p225) :args ((forall @t9 @t276))) % 234.71/235.19 (step @p227 :rule trans :premises (@p226 @p219)) % 234.71/235.19 (step @p228 :rule trans :premises (@p227 @p218)) % 234.71/235.19 (step @p229 :rule aci_norm :args ((= (or @t180 @t276) @t276))) % 234.71/235.19 (step @p230 :rule bool-impl-elim :args (@t17 @t276)) % 234.71/235.19 (step @p231 :rule trans :premises (@p230 @p229)) % 234.71/235.19 (step @p232 :rule cong :premises (@p231) :args ((forall @t9 (=> @t17 @t276)))) % 234.71/235.19 (step @p233 :rule trans :premises (@p232 @p228)) % 234.71/235.19 (step @p234 :rule quant-miniscope-or :args ((= (forall @t7 @t277) @t276))) % 234.71/235.19 (step @p235 :rule aci_norm :args ((= @t278 @t277))) % 234.71/235.19 (step @p236 :rule cong :premises (@p235) :args ((forall @t7 @t278))) % 234.71/235.19 (step @p237 :rule trans :premises (@p236 @p234)) % 234.71/235.19 (step @p238 :rule aci_norm :args ((= (or @t191 @t279) @t278))) % 234.71/235.19 (step @p239 :rule bool-impl-elim :args (@t30 @t279)) % 234.71/235.19 (step @p240 :rule trans :premises (@p239 @p238)) % 234.71/235.19 (step @p241 :rule cong :premises (@p240) :args ((forall @t7 (=> @t30 @t279)))) % 234.71/235.19 (step @p242 :rule trans :premises (@p241 @p237)) % 234.71/235.19 (step @p243 :rule aci_norm :args ((= (or @t156 @t274 @t191 @t280) @t279))) % 234.71/235.19 (step @p244 :rule aci_norm :args ((= (or @t180 false @t218 @t271 @t270) @t280))) % 234.71/235.19 (step @p245 :rule refl :args (@t270)) % 234.71/235.19 (step @p246 :rule refl :args (@t271)) % 234.71/235.19 (step @p247 :rule refl :args (@t218)) % 234.71/235.19 (step @p248 :rule evaluate :args ((not true))) % 234.71/235.19 (step @p249 :rule eq-refl :args (@t2)) % 234.71/235.19 (step @p250 :rule cong :premises (@p249) :args (@t281)) % 234.71/235.19 (step @p251 :rule trans :premises (@p250 @p248)) % 234.71/235.19 (step @p252 :rule refl :args (@t180)) % 234.71/235.19 (step @p253 :rule nary_cong :premises (@p252 @p251 @p247 @p246 @p245) :args (@t282)) % 234.71/235.19 (step @p254 :rule trans :premises (@p253 @p244)) % 234.71/235.19 (step @p255 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t142) @t287 @t157 @t154 @t286 @t285)) @t282))) % 234.71/235.19 (step @p256 :rule refl :args (@t285)) % 234.71/235.19 (step @p257 :rule refl :args (@t286)) % 234.71/235.19 (step @p258 :rule refl :args (@t154)) % 234.71/235.19 (step @p259 :rule refl :args (@t157)) % 234.71/235.19 (step @p260 :rule refl :args (@t287)) % 234.71/235.19 (step @p261 :rule eq-symm :args (@t2 @t12)) % 234.71/235.19 (step @p262 :rule cong :premises (@p261) :args (@t157)) % 234.71/235.19 (step @p263 :rule nary_cong :premises (@p262 @p260 @p259 @p258 @p257 @p256) :args (@t288)) % 234.71/235.19 (step @p264 :rule aci_norm :args ((= @t289 @t288))) % 234.71/235.19 (step @p265 :rule trans :premises (@p264 @p263)) % 234.71/235.19 (step @p266 :rule cong :premises (@p265) :args (@t290)) % 234.71/235.19 (step @p267 :rule trans :premises (@p266 @p255)) % 234.71/235.19 (step @p268 :rule trans :premises (@p267 @p254)) % 234.71/235.19 (step @p269 :rule refl :args (@t191)) % 234.71/235.19 (step @p270 :rule refl :args (@t274)) % 234.71/235.19 (step @p271 :rule refl :args (@t156)) % 234.71/235.19 (step @p272 :rule nary_cong :premises (@p271 @p270 @p269 @p268) :args (@t291)) % 234.71/235.19 (step @p273 :rule trans :premises (@p272 @p243)) % 234.71/235.19 (step @p274 :rule quant-miniscope-or :args ((= (forall @t16 @t292) @t291))) % 234.71/235.19 (step @p275 :rule aci_norm :args ((= @t293 @t292))) % 234.71/235.19 (step @p276 :rule cong :premises (@p275) :args ((forall @t16 @t293))) % 234.71/235.19 (step @p277 :rule trans :premises (@p276 @p274)) % 234.71/235.19 (step @p278 :rule trans :premises (@p277 @p273)) % 234.71/235.19 (step @p279 :rule aci_norm :args ((= (or @t287 @t294) @t293))) % 234.71/235.19 (step @p280 :rule bool-impl-elim :args (@t15 @t294)) % 234.71/235.19 (step @p281 :rule trans :premises (@p280 @p279)) % 234.71/235.19 (step @p282 :rule cong :premises (@p281) :args ((forall @t16 (=> @t15 @t294)))) % 234.71/235.19 (step @p283 :rule trans :premises (@p282 @p278)) % 234.71/235.19 (step @p284 :rule aci_norm :args ((= (or @t157 @t156 @t154 @t274 @t295) @t294))) % 234.71/235.19 (step @p285 :rule aci_norm :args ((= (or @t191 false @t286 @t285) @t295))) % 234.71/235.19 (step @p286 :rule refl :args (@t285)) % 234.71/235.19 (step @p287 :rule refl :args (@t286)) % 234.71/235.19 (step @p288 :rule eq-refl :args (@t1)) % 234.71/235.19 (step @p289 :rule cong :premises (@p288) :args (@t296)) % 234.71/235.19 (step @p290 :rule trans :premises (@p289 @p248)) % 234.71/235.19 (step @p291 :rule nary_cong :premises (@p269 @p290 @p287 @p286) :args (@t297)) % 234.71/235.19 (step @p292 :rule trans :premises (@p291 @p285)) % 234.71/235.19 (step @p293 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t301 @t158 @t155 @t300)) @t297))) % 234.71/235.19 (step @p294 :rule refl :args (@t300)) % 234.71/235.19 (step @p295 :rule refl :args (@t155)) % 234.71/235.19 (step @p296 :rule refl :args (@t158)) % 234.71/235.19 (step @p297 :rule refl :args (@t301)) % 234.71/235.19 (step @p298 :rule eq-symm :args (@t1 @t10)) % 234.71/235.19 (step @p299 :rule cong :premises (@p298) :args (@t158)) % 234.71/235.19 (step @p300 :rule nary_cong :premises (@p299 @p297 @p296 @p295 @p294) :args (@t302)) % 234.71/235.19 (step @p301 :rule aci_norm :args ((= @t303 @t302))) % 234.71/235.19 (step @p302 :rule trans :premises (@p301 @p300)) % 234.71/235.19 (step @p303 :rule cong :premises (@p302) :args (@t304)) % 234.71/235.19 (step @p304 :rule trans :premises (@p303 @p293)) % 234.71/235.19 (step @p305 :rule trans :premises (@p304 @p292)) % 234.71/235.19 (step @p306 :rule refl :args (@t154)) % 234.71/235.19 (step @p307 :rule refl :args (@t157)) % 234.71/235.19 (step @p308 :rule nary_cong :premises (@p307 @p271 @p306 @p270 @p305) :args (@t305)) % 234.71/235.19 (step @p309 :rule trans :premises (@p308 @p284)) % 234.71/235.19 (step @p310 :rule quant-miniscope-or :args ((= (forall @t14 @t306) @t305))) % 234.71/235.19 (step @p311 :rule aci_norm :args ((= @t307 @t306))) % 234.71/235.19 (step @p312 :rule cong :premises (@p311) :args ((forall @t14 @t307))) % 234.71/235.19 (step @p313 :rule trans :premises (@p312 @p310)) % 234.71/235.19 (step @p314 :rule trans :premises (@p313 @p309)) % 234.71/235.19 (step @p315 :rule aci_norm :args ((= (or @t301 @t308) @t307))) % 234.71/235.19 (step @p316 :rule bool-impl-elim :args (@t13 @t308)) % 234.71/235.19 (step @p317 :rule trans :premises (@p316 @p315)) % 234.71/235.19 (step @p318 :rule cong :premises (@p317) :args ((forall @t14 (=> @t13 @t308)))) % 234.71/235.19 (step @p319 :rule trans :premises (@p318 @p314)) % 234.71/235.19 (step @p320 :rule aci_norm :args ((= (or @t209 (or @t284 (or @t298 (or @t283 @t205)))) @t299))) % 234.71/235.19 (step @p321 :rule bool-and-de-morgan :args (@t144 @t143 true)) % 234.71/235.19 (step @p322 :rule refl :args (@t298)) % 234.71/235.19 (step @p323 :rule nary_cong :premises (@p322 @p321) :args ((or @t298 (not (and @t144 @t143))))) % 234.71/235.19 (step @p324 :rule bool-and-de-morgan :args (@t145 @t144 (and @t143))) % 234.71/235.19 (step @p325 :rule trans :premises (@p324 @p323)) % 234.71/235.19 (step @p326 :rule refl :args (@t284)) % 234.71/235.19 (step @p327 :rule nary_cong :premises (@p326 @p325) :args ((or @t284 (not (and @t145 @t144 @t143))))) % 234.71/235.19 (step @p328 :rule bool-and-de-morgan :args (@t146 @t145 (and @t144 @t143))) % 234.71/235.19 (step @p329 :rule trans :premises (@p328 @p327)) % 234.71/235.19 (step @p330 :rule refl :args (@t209)) % 234.71/235.19 (step @p331 :rule nary_cong :premises (@p330 @p329) :args ((or @t209 (not (and @t146 @t145 @t144 @t143))))) % 234.71/235.19 (step @p332 :rule bool-and-de-morgan :args (@t43 @t146 (and @t145 @t144 @t143))) % 234.71/235.19 (step @p333 :rule trans :premises (@p332 @p331)) % 234.71/235.19 (step @p334 :rule trans :premises (@p333 @p320)) % 234.71/235.19 (step @p335 :rule cong :premises (@p334) :args (@t309)) % 234.71/235.19 (step @p336 :rule cong :premises (@p335) :args (@t310)) % 234.71/235.19 (step @p337 :rule exists-elim :args ((= @t148 @t310))) % 234.71/235.19 (step @p338 :rule trans :premises (@p337 @p336)) % 234.71/235.19 (step @p339 :rule aci_norm :args ((= (or @t214 (or @t213 (or @t272 @t212))) @t273))) % 234.71/235.19 (step @p340 :rule bool-and-de-morgan :args (@t150 @t149 true)) % 234.71/235.19 (step @p341 :rule refl :args (@t213)) % 234.71/235.19 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t213 (not (and @t150 @t149))))) % 234.71/235.19 (step @p343 :rule bool-and-de-morgan :args (@t151 @t150 (and @t149))) % 234.71/235.19 (step @p344 :rule trans :premises (@p343 @p342)) % 234.71/235.19 (step @p345 :rule refl :args (@t214)) % 234.71/235.19 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or @t214 (not (and @t151 @t150 @t149))))) % 234.71/235.19 (step @p347 :rule bool-and-de-morgan :args (@t45 @t151 (and @t150 @t149))) % 234.71/235.19 (step @p348 :rule trans :premises (@p347 @p346)) % 234.71/235.19 (step @p349 :rule trans :premises (@p348 @p339)) % 234.71/235.19 (step @p350 :rule cong :premises (@p349) :args (@t311)) % 234.71/235.19 (step @p351 :rule cong :premises (@p350) :args (@t312)) % 234.71/235.19 (step @p352 :rule exists-elim :args ((= @t153 @t312))) % 234.71/235.19 (step @p353 :rule trans :premises (@p352 @p351)) % 234.71/235.19 (step @p354 :rule refl :args (@t155)) % 234.71/235.19 (step @p355 :rule refl :args (@t158)) % 234.71/235.19 (step @p356 :rule nary_cong :premises (@p355 @p307 @p271 @p354 @p306 @p353 @p338) :args (@t159)) % 234.71/235.19 (step @p357 :rule refl :args (@t13)) % 234.71/235.19 (step @p358 :rule cong :premises (@p357 @p356) :args (@t160)) % 234.71/235.19 (step @p359 :rule cong :premises (@p358) :args (@t161)) % 234.71/235.19 (step @p360 :rule trans :premises (@p359 @p319)) % 234.71/235.19 (step @p361 :rule refl :args (@t15)) % 234.71/235.19 (step @p362 :rule cong :premises (@p361 @p360) :args (@t162)) % 234.71/235.19 (step @p363 :rule cong :premises (@p362) :args (@t163)) % 234.71/235.19 (step @p364 :rule trans :premises (@p363 @p283)) % 234.71/235.19 (step @p365 :rule cong :premises (@p142 @p364) :args (@t164)) % 234.71/235.19 (step @p366 :rule cong :premises (@p365) :args (@t165)) % 234.71/235.19 (step @p367 :rule trans :premises (@p366 @p242)) % 234.71/235.19 (step @p368 :rule cong :premises (@p101 @p367) :args (@t166)) % 234.71/235.19 (step @p369 :rule cong :premises (@p368) :args (@t167)) % 234.71/235.19 (step @p370 :rule trans :premises (@p369 @p233)) % 234.71/235.19 (step @p371 :rule cong :premises (@p370) :args (@t168)) % 234.71/235.19 (step @p372 :rule eq_resolve :premises (@p96 @p371)) % 234.71/235.19 (step @p373 :rule skolemize :premises (@p372)) % 234.71/235.19 (step @p374 :rule bool-double-not-elim :args (@t230)) % 234.71/235.19 (step @p375 :rule refl :args (@t323)) % 234.71/235.19 (step @p376 :rule nary_cong :premises (@p375 @p374) :args ((or @t323 (not @t231)))) % 234.71/235.19 (step @p377 :rule cnf_or_neg :args (@t323 2)) % 234.71/235.19 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 234.71/235.19 (step @p379 :rule reordering :premises (@p378) :args ((or @t230 @t323))) % 234.71/235.19 (step @p380 :rule chain_m_resolution :premises (@p379 @p373) :args (@t230 @t324 @t325)) % 234.71/235.19 (step @p381 :rule cnf_or_pos :args (@t260)) % 234.71/235.19 (step @p382 :rule reordering :premises (@p381) :args ((or @t172 @t231 @t259 (not @t260)))) % 234.71/235.19 (step @p383 :rule chain_m_resolution :premises (@p382 @p17 @p380 @p216) :args (@t259 @t326 (@list @t59 @t230 @t260))) % 234.71/235.19 (step @p384 :rule bool-double-not-elim :args (@t254)) % 234.71/235.19 (step @p385 :rule nary_cong :premises (@p375 @p384) :args ((or @t323 (not @t320)))) % 234.71/235.19 (step @p386 :rule cnf_or_neg :args (@t323 3)) % 234.71/235.19 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 234.71/235.19 (step @p388 :rule reordering :premises (@p387) :args ((or @t254 @t323))) % 234.71/235.19 (step @p389 :rule chain_m_resolution :premises (@p388 @p373) :args (@t254 @t324 @t325)) % 234.71/235.19 (step @p390 :rule cnf_equiv_pos1 :args (@t259)) % 234.71/235.19 (step @p391 :rule reordering :premises (@p390) :args ((or @t320 @t258 (not @t259)))) % 234.71/235.19 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p383) :args (@t258 @t174 (@list @t254 @t259))) % 234.71/235.19 (step @p393 :rule cnf_or_pos :args (@t237)) % 234.71/235.19 (step @p394 :rule reordering :premises (@p393) :args ((or @t231 @t236 @t229 (not @t237)))) % 234.71/235.19 (step @p395 :rule chain_m_resolution :premises (@p394 @p380 @p392 @p182) :args (@t229 @t327 (@list @t230 @t236 @t237))) % 234.71/235.19 (step @p396 :rule cnf_or_pos :args (@t332)) % 234.71/235.19 (step @p397 :rule factoring :premises (@p396)) % 234.71/235.19 (step @p398 :rule reordering :premises (@p397) :args ((or @t172 @t331 @t330 (not @t332)))) % 234.71/235.19 (step @p399 :rule chain_m_resolution :premises (@p398 @p17 @p395 @p150) :args (@t330 @t326 (@list @t59 @t229 @t332))) % 234.71/235.19 (step @p400 :rule bool-double-not-elim :args (@t314)) % 234.71/235.19 (step @p401 :rule nary_cong :premises (@p375 @p400) :args ((or @t323 (not @t315)))) % 234.71/235.19 (step @p402 :rule cnf_or_neg :args (@t323 6)) % 234.71/235.19 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 234.71/235.19 (step @p404 :rule reordering :premises (@p403) :args ((or @t314 @t323))) % 234.71/235.19 (step @p405 :rule chain_m_resolution :premises (@p404 @p373) :args (@t314 @t324 @t325)) % 234.71/235.19 (step @p406 :rule instantiate :premises (@p405) :args ((@list @t328))) % 234.71/235.19 (step @p407 :rule aci_norm :args ((= @t343 @t341))) % 234.71/235.19 (step @p408 :rule cong :premises (@p407) :args (@t345)) % 234.71/235.19 (step @p409 :rule quant-merge-prenex :args ((= (forall @t9 @t347) @t345))) % 234.71/235.19 (step @p410 :rule alpha_equiv :args (@t348 (@list @t335 @t334 @t333) (@list @t1 @t350 @t349))) % 234.71/235.19 (step @p411 :rule refl :args (@t340)) % 234.71/235.19 (step @p412 :rule nary_cong :premises (@p411 @p410) :args (@t351)) % 234.71/235.19 (step @p413 :rule quant-miniscope-or :args ((= @t347 @t351))) % 234.71/235.19 (step @p414 :rule trans :premises (@p413 @p412)) % 234.71/235.19 (step @p415 :rule symm :premises (@p414)) % 234.71/235.19 (step @p416 :rule cong :premises (@p415) :args ((forall @t9 (or @t340 @t358)))) % 234.71/235.19 (step @p417 :rule trans :premises (@p416 @p409)) % 234.71/235.19 (step @p418 :rule trans :premises (@p417 @p408)) % 234.71/235.19 (step @p419 :rule bool-impl-elim :args (@t8 @t358)) % 234.71/235.19 (step @p420 :rule cong :premises (@p419) :args ((forall @t9 (=> @t8 @t358)))) % 234.71/235.19 (step @p421 :rule trans :premises (@p420 @p418)) % 234.71/235.19 (step @p422 :rule aci_norm :args ((= @t360 @t356))) % 234.71/235.19 (step @p423 :rule cong :premises (@p422) :args (@t361)) % 234.71/235.19 (step @p424 :rule quant-merge-prenex :args ((= (forall @t7 @t363) @t361))) % 234.71/235.19 (step @p425 :rule alpha_equiv :args (@t364 (@list @t350 @t349) (@list @t12 @t365))) % 234.71/235.19 (step @p426 :rule refl :args (@t355)) % 234.71/235.19 (step @p427 :rule nary_cong :premises (@p426 @p425) :args (@t366)) % 234.71/235.19 (step @p428 :rule quant-miniscope-or :args ((= @t363 @t366))) % 234.71/235.19 (step @p429 :rule trans :premises (@p428 @p427)) % 234.71/235.19 (step @p430 :rule symm :premises (@p429)) % 234.71/235.19 (step @p431 :rule cong :premises (@p430) :args ((forall @t7 (or @t355 @t371)))) % 234.71/235.19 (step @p432 :rule trans :premises (@p431 @p424)) % 234.71/235.19 (step @p433 :rule trans :premises (@p432 @p423)) % 234.71/235.19 (step @p434 :rule bool-impl-elim :args (@t6 @t371)) % 234.71/235.19 (step @p435 :rule cong :premises (@p434) :args ((forall @t7 (=> @t6 @t371)))) % 234.71/235.19 (step @p436 :rule trans :premises (@p435 @p433)) % 234.71/235.19 (step @p437 :rule aci_norm :args ((= @t373 @t369))) % 234.71/235.19 (step @p438 :rule cong :premises (@p437) :args (@t374)) % 234.71/235.19 (step @p439 :rule quant-merge-prenex :args ((= (forall @t16 @t376) @t374))) % 234.71/235.19 (step @p440 :rule alpha_equiv :args (@t377 (@list @t365) @t378)) % 234.71/235.19 (step @p441 :rule nary_cong :premises (@p260 @p440) :args (@t379)) % 234.71/235.19 (step @p442 :rule quant-miniscope-or :args ((= @t376 @t379))) % 234.71/235.19 (step @p443 :rule trans :premises (@p442 @p441)) % 234.71/235.19 (step @p444 :rule symm :premises (@p443)) % 234.71/235.19 (step @p445 :rule cong :premises (@p444) :args ((forall @t16 (or @t287 @t380)))) % 234.71/235.19 (step @p446 :rule trans :premises (@p445 @p439)) % 234.71/235.19 (step @p447 :rule trans :premises (@p446 @p438)) % 234.71/235.19 (step @p448 :rule bool-impl-elim :args (@t15 @t380)) % 234.71/235.19 (step @p449 :rule cong :premises (@p448) :args ((forall @t16 (=> @t15 @t380)))) % 234.71/235.19 (step @p450 :rule trans :premises (@p449 @p447)) % 234.71/235.19 (step @p451 :rule bool-impl-elim :args (@t13 @t106)) % 234.71/235.19 (step @p452 :rule cong :premises (@p451) :args (@t107)) % 234.71/235.19 (step @p453 :rule cong :premises (@p361 @p452) :args (@t108)) % 234.71/235.19 (step @p454 :rule cong :premises (@p453) :args (@t109)) % 234.71/235.19 (step @p455 :rule trans :premises (@p454 @p450)) % 234.71/235.19 (step @p456 :rule refl :args (@t6)) % 234.71/235.19 (step @p457 :rule cong :premises (@p456 @p455) :args (@t110)) % 234.71/235.19 (step @p458 :rule cong :premises (@p457) :args (@t111)) % 234.71/235.19 (step @p459 :rule trans :premises (@p458 @p436)) % 234.71/235.19 (step @p460 :rule refl :args (@t8)) % 234.71/235.19 (step @p461 :rule cong :premises (@p460 @p459) :args (@t112)) % 234.71/235.19 (step @p462 :rule cong :premises (@p461) :args (@t113)) % 234.71/235.19 (step @p463 :rule trans :premises (@p462 @p421)) % 234.71/235.19 (step @p464 :rule eq_resolve :premises (@p44 @p463)) % 234.71/235.19 (step @p465 :rule eq-symm :args (@t383 @t384)) % 234.71/235.19 (step @p466 :rule aci_norm :args ((= (and true @t384) @t384))) % 234.71/235.19 (step @p467 :rule refl :args (@t384)) % 234.71/235.19 (step @p468 :rule eq-refl :args (@t223)) % 234.71/235.19 (step @p469 :rule nary_cong :premises (@p468 @p467) :args (@t385)) % 234.71/235.19 (step @p470 :rule trans :premises (@p469 @p466)) % 234.71/235.19 (step @p471 :rule refl :args (@t383)) % 234.71/235.19 (step @p472 :rule cong :premises (@p471 @p470) :args (@t386)) % 234.71/235.19 (step @p473 :rule trans :premises (@p472 @p465)) % 234.71/235.19 (step @p474 :rule refl :args (@t388)) % 234.71/235.19 (step @p475 :rule refl :args (@t331)) % 234.71/235.19 (step @p476 :rule nary_cong :premises (@p475 @p475 @p474 @p206 @p473) :args (@t389)) % 234.71/235.19 (step @p477 :rule refl :args (@t390)) % 234.71/235.19 (step @p478 :rule cong :premises (@p477 @p476) :args ((=> @t390 @t389))) % 234.71/235.19 (assume-push @p1104 @t390) % 234.71/235.19 (step @p480 :rule instantiate :premises (@p464) :args ((@list @t223 @t223 @t381 tptp.nil))) % 234.71/235.19 (step-pop @p1105 :rule scope :premises (@p480)) % 234.71/235.19 (step @p481 :rule process_scope :premises (@p1105) :args (@t389)) % 234.71/235.19 (step @p483 :rule eq_resolve :premises (@p481 @p478)) % 234.71/235.19 (step @p484 :rule implies_elim :premises (@p483)) % 234.71/235.19 (step @p485 :rule chain_m_resolution :premises (@p484 @p464) :args (@t392 @t238 (@list @t390))) % 234.71/235.19 (step @p486 :rule aci_norm :args ((= (or @t180 @t401) @t400))) % 234.71/235.19 (step @p487 :rule bool-impl-elim :args (@t17 @t401)) % 234.71/235.19 (step @p488 :rule trans :premises (@p487 @p486)) % 234.71/235.19 (step @p489 :rule cong :premises (@p488) :args ((forall @t9 (=> @t17 @t401)))) % 234.71/235.19 (step @p490 :rule aci_norm :args ((= @t403 @t397))) % 234.71/235.19 (step @p491 :rule cong :premises (@p490) :args (@t404)) % 234.71/235.19 (step @p492 :rule quant-merge-prenex :args ((= (forall @t7 @t406) @t404))) % 234.71/235.19 (step @p493 :rule alpha_equiv :args (@t407 (@list @t393) @t201)) % 234.71/235.19 (step @p494 :rule nary_cong :premises (@p129 @p493) :args (@t408)) % 234.71/235.19 (step @p495 :rule quant-miniscope-or :args ((= @t406 @t408))) % 234.71/235.19 (step @p496 :rule trans :premises (@p495 @p494)) % 234.71/235.19 (step @p497 :rule symm :premises (@p496)) % 234.71/235.19 (step @p498 :rule cong :premises (@p497) :args ((forall @t7 (or @t191 @t410)))) % 234.71/235.19 (step @p499 :rule trans :premises (@p498 @p492)) % 234.71/235.19 (step @p500 :rule trans :premises (@p499 @p491)) % 234.71/235.19 (step @p501 :rule bool-double-not-elim :args (@t410)) % 234.71/235.19 (step @p502 :rule nary_cong :premises (@p129 @p501) :args ((or @t191 (not @t411)))) % 234.71/235.19 (step @p503 :rule bool-and-de-morgan :args (@t30 @t411 true)) % 234.71/235.19 (step @p504 :rule trans :premises (@p503 @p502)) % 234.71/235.19 (step @p505 :rule cong :premises (@p504) :args (@t413)) % 234.71/235.19 (step @p506 :rule trans :premises (@p505 @p500)) % 234.71/235.19 (step @p507 :rule cong :premises (@p506) :args (@t414)) % 234.71/235.19 (step @p508 :rule exists-elim :args ((= (exists @t7 @t412) @t414))) % 234.71/235.19 (step @p509 :rule trans :premises (@p508 @p507)) % 234.71/235.19 (step @p510 :rule bool-and-de-morgan :args (@t47 @t409 true)) % 234.71/235.19 (step @p511 :rule cong :premises (@p510) :args (@t416)) % 234.71/235.19 (step @p512 :rule cong :premises (@p511) :args (@t417)) % 234.71/235.19 (step @p513 :rule exists-elim :args ((= (exists @t16 @t415) @t417))) % 234.71/235.19 (step @p514 :rule trans :premises (@p513 @p512)) % 234.71/235.19 (step @p515 :rule eq-symm :args (@t61 @t2)) % 234.71/235.19 (step @p516 :rule refl :args (@t47)) % 234.71/235.19 (step @p517 :rule nary_cong :premises (@p516 @p515) :args (@t62)) % 234.71/235.19 (step @p518 :rule cong :premises (@p517) :args (@t63)) % 234.71/235.19 (step @p519 :rule trans :premises (@p518 @p514)) % 234.71/235.19 (step @p520 :rule nary_cong :premises (@p142 @p519) :args (@t64)) % 234.71/235.19 (step @p521 :rule cong :premises (@p520) :args (@t65)) % 234.71/235.19 (step @p522 :rule trans :premises (@p521 @p509)) % 234.71/235.19 (step @p523 :rule nary_cong :premises (@p163 @p522) :args (@t67)) % 234.71/235.19 (step @p524 :rule cong :premises (@p101 @p523) :args (@t68)) % 234.71/235.19 (step @p525 :rule cong :premises (@p524) :args (@t69)) % 234.71/235.19 (step @p526 :rule trans :premises (@p525 @p489)) % 234.71/235.19 (step @p527 :rule eq_resolve :premises (@p20 @p526)) % 234.71/235.19 (step @p528 :rule eq-symm :args (@t222 @t394)) % 234.71/235.19 (step @p529 :rule cong :premises (@p528) :args (@t418)) % 234.71/235.19 (step @p530 :rule refl :args (@t396)) % 234.71/235.19 (step @p531 :rule nary_cong :premises (@p269 @p530 @p529) :args (@t419)) % 234.71/235.19 (step @p532 :rule cong :premises (@p531) :args (@t420)) % 234.71/235.19 (step @p533 :rule cong :premises (@p532) :args (@t421)) % 234.71/235.19 (step @p534 :rule nary_cong :premises (@p172 @p171 @p533) :args (@t422)) % 234.71/235.19 (step @p535 :rule refl :args (@t423)) % 234.71/235.19 (step @p536 :rule cong :premises (@p535 @p534) :args ((=> @t423 @t422))) % 234.71/235.19 (assume-push @p1106 @t423) % 234.71/235.19 (step @p538 :rule instantiate :premises (@p527) :args (@t235)) % 234.71/235.19 (step-pop @p1107 :rule scope :premises (@p538)) % 234.71/235.19 (step @p539 :rule process_scope :premises (@p1107) :args (@t422)) % 234.71/235.19 (step @p541 :rule eq_resolve :premises (@p539 @p536)) % 234.71/235.19 (step @p542 :rule implies_elim :premises (@p541)) % 234.71/235.19 (step @p543 :rule chain_m_resolution :premises (@p542 @p527) :args (@t426 @t238 (@list @t423))) % 234.71/235.19 (step @p544 :rule cnf_or_pos :args (@t426)) % 234.71/235.19 (step @p545 :rule reordering :premises (@p544) :args ((or @t231 @t236 @t425 (not @t426)))) % 234.71/235.19 (step @p546 :rule chain_m_resolution :premises (@p545 @p380 @p392 @p543) :args (@t425 @t327 (@list @t230 @t236 @t426))) % 234.71/235.19 (step @p547 :rule refl :args (@t437)) % 234.71/235.19 (step @p548 :rule bool-double-not-elim :args (@t424)) % 234.71/235.19 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or (not @t425) @t437))) % 234.71/235.19 (step @p550 :rule eq-symm :args (@t429 @t222)) % 234.71/235.19 (step @p551 :rule cong :premises (@p550) :args (@t438)) % 234.71/235.19 (step @p552 :rule refl :args (@t433)) % 234.71/235.19 (step @p553 :rule refl :args (@t435)) % 234.71/235.19 (step @p554 :rule nary_cong :premises (@p553 @p552 @p551) :args (@t439)) % 234.71/235.19 (step @p555 :rule cong :premises (@p554) :args (@t440)) % 234.71/235.19 (step @p556 :rule refl :args (@t425)) % 234.71/235.19 (step @p557 :rule cong :premises (@p556 @p555) :args ((=> @t425 @t440))) % 234.71/235.19 (assume-push @p1108 @t425) % 234.71/235.19 (step @p559 :rule skolemize :premises (@p546)) % 234.71/235.19 (step-pop @p1109 :rule scope :premises (@p559)) % 234.71/235.19 (step @p560 :rule process_scope :premises (@p1109) :args (@t440)) % 234.71/235.19 (step @p562 :rule eq_resolve :premises (@p560 @p557)) % 234.71/235.19 (step @p563 :rule implies_elim :premises (@p562)) % 234.71/235.19 (step @p564 :rule eq_resolve :premises (@p563 @p549)) % 234.71/235.19 (step @p565 :rule chain_m_resolution :premises (@p564 @p546) :args (@t437 @t324 (@list @t424))) % 234.71/235.19 (step @p566 :rule bool-double-not-elim :args (@t434)) % 234.71/235.19 (step @p567 :rule refl :args (@t436)) % 234.71/235.19 (step @p568 :rule nary_cong :premises (@p567 @p566) :args ((or @t436 (not @t435)))) % 234.71/235.19 (step @p569 :rule cnf_or_neg :args (@t436 0)) % 234.71/235.19 (step @p570 :rule eq_resolve :premises (@p569 @p568)) % 234.71/235.19 (step @p571 :rule reordering :premises (@p570) :args ((or @t434 @t436))) % 234.71/235.19 (step @p572 :rule chain_m_resolution :premises (@p571 @p565) :args (@t434 @t324 @t441)) % 234.71/235.19 (step @p573 :rule true_intro :premises (@p572)) % 234.71/235.19 (step @p574 :rule aci_norm :args ((= @t446 (or @t180 @t444 @t443)))) % 234.71/235.19 (step @p575 :rule cong :premises (@p574) :args (@t447)) % 234.71/235.19 (step @p576 :rule quant-merge-prenex :args ((= (forall @t9 @t449) @t447))) % 234.71/235.19 (step @p577 :rule alpha_equiv :args (@t450 (@list @t442) @t250)) % 234.71/235.19 (step @p578 :rule nary_cong :premises (@p114 @p577) :args (@t451)) % 234.71/235.19 (step @p579 :rule quant-miniscope-or :args ((= @t449 @t451))) % 234.71/235.19 (step @p580 :rule trans :premises (@p579 @p578)) % 234.71/235.19 (step @p581 :rule symm :premises (@p580)) % 234.71/235.19 (step @p582 :rule cong :premises (@p581) :args ((forall @t9 (or @t180 @t453)))) % 234.71/235.19 (step @p583 :rule trans :premises (@p582 @p576)) % 234.71/235.19 (step @p584 :rule trans :premises (@p583 @p575)) % 234.71/235.19 (step @p585 :rule bool-impl-elim :args (@t17 @t453)) % 234.71/235.19 (step @p586 :rule cong :premises (@p585) :args ((forall @t9 (=> @t17 @t453)))) % 234.71/235.19 (step @p587 :rule trans :premises (@p586 @p584)) % 234.71/235.19 (step @p588 :rule bool-impl-elim :args (@t6 @t452)) % 234.71/235.19 (step @p589 :rule cong :premises (@p588) :args ((forall @t7 (=> @t6 @t452)))) % 234.71/235.19 (step @p590 :rule eq-symm :args (@t77 @t2)) % 234.71/235.19 (step @p591 :rule cong :premises (@p456 @p590) :args (@t78)) % 234.71/235.19 (step @p592 :rule cong :premises (@p591) :args (@t79)) % 234.71/235.19 (step @p593 :rule trans :premises (@p592 @p589)) % 234.71/235.19 (step @p594 :rule cong :premises (@p101 @p593) :args (@t80)) % 234.71/235.19 (step @p595 :rule cong :premises (@p594) :args (@t81)) % 234.71/235.19 (step @p596 :rule trans :premises (@p595 @p587)) % 234.71/235.19 (step @p597 :rule eq_resolve :premises (@p25 @p596)) % 234.71/235.19 (step @p598 :rule instantiate :premises (@p597) :args ((@list @t427 @t428))) % 234.71/235.19 (step @p599 :rule bool-double-not-elim :args (@t432)) % 234.71/235.19 (step @p600 :rule nary_cong :premises (@p567 @p599) :args ((or @t436 (not @t433)))) % 234.71/235.19 (step @p601 :rule cnf_or_neg :args (@t436 1)) % 234.71/235.19 (step @p602 :rule eq_resolve :premises (@p601 @p600)) % 234.71/235.19 (step @p603 :rule reordering :premises (@p602) :args ((or @t432 @t436))) % 234.71/235.19 (step @p604 :rule chain_m_resolution :premises (@p603 @p565) :args (@t432 @t324 @t441)) % 234.71/235.19 (step @p605 :rule cnf_or_pos :args (@t455)) % 234.71/235.19 (step @p606 :rule reordering :premises (@p605) :args ((or @t435 @t433 @t454 (not @t455)))) % 234.71/235.19 (step @p607 :rule chain_m_resolution :premises (@p606 @p572 @p604 @p598) :args (@t454 @t326 (@list @t434 @t432 @t455))) % 234.71/235.19 (step @p608 :rule symm :premises (@p607)) % 234.71/235.19 (step @p609 :rule bool-double-not-elim :args (@t430)) % 234.71/235.19 (step @p610 :rule nary_cong :premises (@p567 @p609) :args ((or @t436 (not @t431)))) % 234.71/235.19 (step @p611 :rule cnf_or_neg :args (@t436 2)) % 234.71/235.19 (step @p612 :rule eq_resolve :premises (@p611 @p610)) % 234.71/235.19 (step @p613 :rule reordering :premises (@p612) :args ((or @t430 @t436))) % 234.71/235.19 (step @p614 :rule chain_m_resolution :premises (@p613 @p565) :args (@t430 @t324 @t441)) % 234.71/235.19 (step @p615 :rule cong :premises (@p614) :args (@t381)) % 234.71/235.19 (step @p616 :rule trans :premises (@p615 @p608)) % 234.71/235.19 (step @p617 :rule cong :premises (@p616) :args (@t387)) % 234.71/235.19 (step @p618 :rule trans :premises (@p617 @p573)) % 234.71/235.19 (step @p619 :rule true_elim :premises (@p618)) % 234.71/235.19 (step @p620 :rule cnf_or_pos :args (@t392)) % 234.71/235.19 (step @p621 :rule factoring :premises (@p620)) % 234.71/235.19 (step @p622 :rule reordering :premises (@p621) :args ((or @t172 @t331 @t388 @t391 (not @t392)))) % 234.71/235.19 (step @p623 :rule chain_m_resolution :premises (@p622 @p17 @p395 @p619 @p485) :args (@t391 @t456 (@list @t59 @t229 @t387 @t392))) % 234.71/235.19 (step @p624 :rule bool-impl-elim :args (@t17 @t114)) % 234.71/235.19 (step @p625 :rule cong :premises (@p624) :args (@t115)) % 234.71/235.19 (step @p626 :rule eq_resolve :premises (@p45 @p625)) % 234.71/235.19 (step @p627 :rule instantiate :premises (@p626) :args ((@list @t427))) % 234.71/235.19 (step @p628 :rule cnf_or_pos :args (@t458)) % 234.71/235.19 (step @p629 :rule reordering :premises (@p628) :args ((or @t435 @t457 (not @t458)))) % 234.71/235.19 (step @p630 :rule chain_m_resolution :premises (@p629 @p572 @p627) :args (@t457 @t174 (@list @t434 @t458))) % 234.71/235.19 (step @p631 :rule true_intro :premises (@p630)) % 234.71/235.19 (step @p632 :rule refl :args (tptp.nil)) % 234.71/235.19 (step @p633 :rule cong :premises (@p616 @p632) :args (@t384)) % 234.71/235.19 (step @p634 :rule trans :premises (@p633 @p631)) % 234.71/235.19 (step @p635 :rule true_elim :premises (@p634)) % 234.71/235.19 (step @p636 :rule cnf_equiv_pos1 :args (@t391)) % 234.71/235.19 (step @p637 :rule reordering :premises (@p636) :args ((or (not @t384) @t383 (not @t391)))) % 234.71/235.19 (step @p638 :rule chain_m_resolution :premises (@p637 @p635 @p623) :args (@t383 @t174 (@list @t384 @t391))) % 234.71/235.19 (step @p639 :rule true_intro :premises (@p638)) % 234.71/235.19 (step @p640 :rule refl :args (@t328)) % 234.71/235.19 (step @p641 :rule aci_norm :args ((= (or @t180 (or @t224 @t459)) @t460))) % 234.71/235.19 (step @p642 :rule refl :args (@t459)) % 234.71/235.19 (step @p643 :rule nary_cong :premises (@p153 @p642) :args ((or @t227 @t459))) % 234.71/235.19 (step @p644 :rule bool-impl-elim :args (@t226 @t459)) % 234.71/235.19 (step @p645 :rule trans :premises (@p644 @p643)) % 234.71/235.19 (step @p646 :rule nary_cong :premises (@p114 @p645) :args ((or @t180 @t461))) % 234.71/235.19 (step @p647 :rule trans :premises (@p646 @p641)) % 234.71/235.19 (step @p648 :rule bool-impl-elim :args (@t17 @t461)) % 234.71/235.19 (step @p649 :rule trans :premises (@p648 @p647)) % 234.71/235.19 (step @p650 :rule cong :premises (@p649) :args ((forall @t9 (=> @t17 @t461)))) % 234.71/235.19 (step @p651 :rule eq-symm :args (@t138 @t2)) % 234.71/235.19 (step @p652 :rule cong :premises (@p164 @p651) :args (@t139)) % 234.71/235.19 (step @p653 :rule cong :premises (@p101 @p652) :args (@t140)) % 234.71/235.19 (step @p654 :rule cong :premises (@p653) :args (@t141)) % 234.71/235.19 (step @p655 :rule trans :premises (@p654 @p650)) % 234.71/235.19 (step @p656 :rule eq_resolve :premises (@p78 @p655)) % 234.71/235.19 (step @p657 :rule refl :args (@t462)) % 234.71/235.19 (step @p658 :rule nary_cong :premises (@p172 @p171 @p657) :args (@t463)) % 234.71/235.19 (step @p659 :rule refl :args (@t464)) % 234.71/235.19 (step @p660 :rule cong :premises (@p659 @p658) :args ((=> @t464 @t463))) % 234.71/235.19 (assume-push @p1110 @t464) % 234.71/235.19 (step @p662 :rule instantiate :premises (@p656) :args (@t235)) % 234.71/235.19 (step-pop @p1111 :rule scope :premises (@p662)) % 234.71/235.19 (step @p663 :rule process_scope :premises (@p1111) :args (@t463)) % 234.71/235.19 (step @p665 :rule eq_resolve :premises (@p663 @p660)) % 234.71/235.19 (step @p666 :rule implies_elim :premises (@p665)) % 234.71/235.19 (step @p667 :rule chain_m_resolution :premises (@p666 @p656) :args (@t465 @t238 (@list @t464))) % 234.71/235.19 (step @p668 :rule cnf_or_pos :args (@t465)) % 234.71/235.19 (step @p669 :rule reordering :premises (@p668) :args ((or @t231 @t236 @t462 (not @t465)))) % 234.71/235.19 (step @p670 :rule chain_m_resolution :premises (@p669 @p380 @p392 @p667) :args (@t462 @t327 (@list @t230 @t236 @t465))) % 234.71/235.19 (step @p671 :rule cong :premises (@p670 @p640) :args (@t466)) % 234.71/235.19 (step @p672 :rule trans :premises (@p671 @p639)) % 234.71/235.19 (step @p673 :rule true_elim :premises (@p672)) % 234.71/235.19 (step @p674 :rule eq-symm :args (@t467 @t469)) % 234.71/235.19 (step @p675 :rule refl :args (@t471)) % 234.71/235.19 (step @p676 :rule refl :args (@t322)) % 234.71/235.19 (step @p677 :rule nary_cong :premises (@p676 @p675 @p674) :args (@t472)) % 234.71/235.19 (step @p678 :rule cong :premises (@p208 @p677) :args ((=> @t257 @t472))) % 234.71/235.19 (assume-push @p1112 @t257) % 234.71/235.19 (step @p680 :rule instantiate :premises (@p202) :args ((@list @t313 @t328))) % 234.71/235.19 (step-pop @p1113 :rule scope :premises (@p680)) % 234.71/235.19 (step @p681 :rule process_scope :premises (@p1113) :args (@t472)) % 234.71/235.19 (step @p683 :rule eq_resolve :premises (@p681 @p678)) % 234.71/235.19 (step @p684 :rule implies_elim :premises (@p683)) % 234.71/235.19 (step @p685 :rule chain_m_resolution :premises (@p684 @p202) :args (@t474 @t238 @t261)) % 234.71/235.19 (step @p686 :rule aci_norm :args ((= @t479 (or @t180 @t477 @t476)))) % 234.71/235.19 (step @p687 :rule cong :premises (@p686) :args (@t480)) % 234.71/235.19 (step @p688 :rule quant-merge-prenex :args ((= (forall @t9 @t482) @t480))) % 234.71/235.19 (step @p689 :rule alpha_equiv :args (@t483 (@list @t475) @t250)) % 234.71/235.19 (step @p690 :rule nary_cong :premises (@p114 @p689) :args (@t484)) % 234.71/235.19 (step @p691 :rule quant-miniscope-or :args ((= @t482 @t484))) % 234.71/235.19 (step @p692 :rule trans :premises (@p691 @p690)) % 234.71/235.19 (step @p693 :rule symm :premises (@p692)) % 234.71/235.19 (step @p694 :rule cong :premises (@p693) :args ((forall @t9 (or @t180 @t485)))) % 234.71/235.19 (step @p695 :rule trans :premises (@p694 @p688)) % 234.71/235.19 (step @p696 :rule trans :premises (@p695 @p687)) % 234.71/235.19 (step @p697 :rule bool-impl-elim :args (@t17 @t485)) % 234.71/235.19 (step @p698 :rule cong :premises (@p697) :args ((forall @t9 (=> @t17 @t485)))) % 234.71/235.19 (step @p699 :rule trans :premises (@p698 @p696)) % 234.71/235.19 (step @p700 :rule bool-impl-elim :args (@t6 @t55)) % 234.71/235.19 (step @p701 :rule cong :premises (@p700) :args (@t56)) % 234.71/235.19 (step @p702 :rule cong :premises (@p101 @p701) :args (@t57)) % 234.71/235.19 (step @p703 :rule cong :premises (@p702) :args (@t58)) % 234.71/235.19 (step @p704 :rule trans :premises (@p703 @p699)) % 234.71/235.19 (step @p705 :rule eq_resolve :premises (@p16 @p704)) % 234.71/235.19 (step @p706 :rule instantiate :premises (@p705) :args ((@list tptp.nil @t223))) % 234.71/235.19 (step @p707 :rule cnf_or_pos :args (@t486)) % 234.71/235.19 (step @p708 :rule reordering :premises (@p707) :args ((or @t172 @t331 @t470 (not @t486)))) % 234.71/235.19 (step @p709 :rule chain_m_resolution :premises (@p708 @p17 @p395 @p706) :args (@t470 @t326 (@list @t59 @t229 @t486))) % 234.71/235.19 (step @p710 :rule bool-double-not-elim :args (@t321)) % 234.71/235.19 (step @p711 :rule nary_cong :premises (@p375 @p710) :args ((or @t323 (not @t322)))) % 234.71/235.19 (step @p712 :rule cnf_or_neg :args (@t323 0)) % 234.71/235.19 (step @p713 :rule eq_resolve :premises (@p712 @p711)) % 234.71/235.19 (step @p714 :rule reordering :premises (@p713) :args ((or @t321 @t323))) % 234.71/235.19 (step @p715 :rule chain_m_resolution :premises (@p714 @p373) :args (@t321 @t324 @t325)) % 234.71/235.19 (step @p716 :rule cnf_or_pos :args (@t474)) % 234.71/235.19 (step @p717 :rule reordering :premises (@p716) :args ((or @t322 @t471 @t473 (not @t474)))) % 234.71/235.19 (step @p718 :rule chain_m_resolution :premises (@p717 @p715 @p709 @p685) :args (@t473 @t326 (@list @t321 @t470 @t474))) % 234.71/235.19 (step @p719 :rule bool-impl-elim :args (@t17 @t488)) % 234.71/235.19 (step @p720 :rule cong :premises (@p719) :args ((forall @t9 (=> @t17 @t488)))) % 234.71/235.19 (step @p721 :rule bool-and-de-morgan :args (@t6 @t487 true)) % 234.71/235.19 (step @p722 :rule cong :premises (@p721) :args (@t490)) % 234.71/235.19 (step @p723 :rule cong :premises (@p722) :args (@t491)) % 234.71/235.19 (step @p724 :rule exists-elim :args ((= (exists @t7 @t489) @t491))) % 234.71/235.19 (step @p725 :rule trans :premises (@p724 @p723)) % 234.71/235.19 (step @p726 :rule eq-symm :args (@t18 @t2)) % 234.71/235.19 (step @p727 :rule nary_cong :premises (@p456 @p726) :args (@t19)) % 234.71/235.19 (step @p728 :rule cong :premises (@p727) :args (@t20)) % 234.71/235.19 (step @p729 :rule trans :premises (@p728 @p725)) % 234.71/235.19 (step @p730 :rule refl :args (@t21)) % 234.71/235.19 (step @p731 :rule cong :premises (@p730 @p729) :args (@t22)) % 234.71/235.19 (step @p732 :rule cong :premises (@p101 @p731) :args (@t23)) % 234.71/235.19 (step @p733 :rule cong :premises (@p732) :args (@t24)) % 234.71/235.19 (step @p734 :rule trans :premises (@p733 @p720)) % 234.71/235.19 (step @p735 :rule eq_resolve :premises (@p4 @p734)) % 234.71/235.19 (step @p736 :rule eq-symm :args (@t313 @t18)) % 234.71/235.19 (step @p737 :rule cong :premises (@p736) :args (@t492)) % 234.71/235.19 (step @p738 :rule refl :args (@t355)) % 234.71/235.19 (step @p739 :rule nary_cong :premises (@p738 @p737) :args (@t493)) % 234.71/235.19 (step @p740 :rule cong :premises (@p739) :args (@t494)) % 234.71/235.19 (step @p741 :rule cong :premises (@p740) :args (@t495)) % 234.71/235.19 (step @p742 :rule refl :args (@t496)) % 234.71/235.19 (step @p743 :rule cong :premises (@p742 @p741) :args (@t497)) % 234.71/235.19 (step @p744 :rule nary_cong :premises (@p676 @p743) :args (@t498)) % 234.71/235.19 (step @p745 :rule refl :args (@t499)) % 234.71/235.19 (step @p746 :rule cong :premises (@p745 @p744) :args ((=> @t499 @t498))) % 234.71/235.19 (assume-push @p1114 @t499) % 234.71/235.19 (step @p748 :rule instantiate :premises (@p735) :args (@t500)) % 234.71/235.19 (step-pop @p1115 :rule scope :premises (@p748)) % 234.71/235.19 (step @p749 :rule process_scope :premises (@p1115) :args (@t498)) % 234.71/235.19 (step @p751 :rule eq_resolve :premises (@p749 @p746)) % 234.71/235.19 (step @p752 :rule implies_elim :premises (@p751)) % 234.71/235.19 (step @p753 :rule chain_m_resolution :premises (@p752 @p735) :args (@t504 @t238 (@list @t499))) % 234.71/235.19 (step @p754 :rule cnf_or_pos :args (@t504)) % 234.71/235.19 (step @p755 :rule reordering :premises (@p754) :args ((or @t322 @t503 (not @t504)))) % 234.71/235.19 (step @p756 :rule chain_m_resolution :premises (@p755 @p715 @p753) :args (@t503 @t174 (@list @t321 @t504))) % 234.71/235.19 (step @p757 :rule eq-symm :args (@t313 tptp.nil)) % 234.71/235.19 (step @p758 :rule cong :premises (@p757) :args (@t506)) % 234.71/235.19 (step @p759 :rule refl :args (@t507)) % 234.71/235.19 (step @p760 :rule cong :premises (@p759 @p758) :args (@t508)) % 234.71/235.19 (step @p761 :rule nary_cong :premises (@p676 @p206 @p760) :args (@t509)) % 234.71/235.19 (step @p762 :rule cong :premises (@p208 @p761) :args ((=> @t257 @t509))) % 234.71/235.19 (assume-push @p1116 @t257) % 234.71/235.19 (step @p764 :rule instantiate :premises (@p202) :args ((@list @t313 tptp.nil))) % 234.71/235.19 (step-pop @p1117 :rule scope :premises (@p764)) % 234.71/235.19 (step @p765 :rule process_scope :premises (@p1117) :args (@t509)) % 234.71/235.19 (step @p767 :rule eq_resolve :premises (@p765 @p762)) % 234.71/235.19 (step @p768 :rule implies_elim :premises (@p767)) % 234.71/235.19 (step @p769 :rule chain_m_resolution :premises (@p768 @p202) :args (@t513 @t238 @t261)) % 234.71/235.19 (step @p770 :rule cnf_or_pos :args (@t513)) % 234.71/235.19 (step @p771 :rule reordering :premises (@p770) :args ((or @t172 @t322 @t512 (not @t513)))) % 234.71/235.19 (step @p772 :rule chain_m_resolution :premises (@p771 @p17 @p715 @p769) :args (@t512 @t326 (@list @t59 @t321 @t513))) % 234.71/235.19 (step @p773 :rule bool-double-not-elim :args (@t318)) % 234.71/235.19 (step @p774 :rule nary_cong :premises (@p375 @p773) :args ((or @t323 (not @t319)))) % 234.71/235.19 (step @p775 :rule cnf_or_neg :args (@t323 4)) % 234.71/235.19 (step @p776 :rule eq_resolve :premises (@p775 @p774)) % 234.71/235.19 (step @p777 :rule reordering :premises (@p776) :args ((or @t318 @t323))) % 234.71/235.19 (step @p778 :rule chain_m_resolution :premises (@p777 @p373) :args (@t318 @t324 @t325)) % 234.71/235.19 (step @p779 :rule instantiate :premises (@p778) :args (@t500)) % 234.71/235.19 (step @p780 :rule aci_norm :args ((= @t523 (or @t180 @t521 @t520 @t519 @t518 @t517)))) % 234.71/235.19 (step @p781 :rule cong :premises (@p780) :args (@t524)) % 234.71/235.19 (step @p782 :rule quant-merge-prenex :args ((= (forall @t9 @t526) @t524))) % 234.71/235.19 (step @p783 :rule alpha_equiv :args (@t527 (@list @t514 @t516 @t515) (@list @t1 @t529 @t528))) % 234.71/235.19 (step @p784 :rule nary_cong :premises (@p114 @p783) :args (@t530)) % 234.71/235.19 (step @p785 :rule quant-miniscope-or :args ((= @t526 @t530))) % 234.71/235.19 (step @p786 :rule trans :premises (@p785 @p784)) % 234.71/235.19 (step @p787 :rule symm :premises (@p786)) % 234.71/235.19 (step @p788 :rule cong :premises (@p787) :args ((forall @t9 (or @t180 @t537)))) % 234.71/235.19 (step @p789 :rule trans :premises (@p788 @p782)) % 234.71/235.19 (step @p790 :rule trans :premises (@p789 @p781)) % 234.71/235.19 (step @p791 :rule bool-impl-elim :args (@t17 @t537)) % 234.71/235.19 (step @p792 :rule cong :premises (@p791) :args ((forall @t9 (=> @t17 @t537)))) % 234.71/235.19 (step @p793 :rule trans :premises (@p792 @p790)) % 234.71/235.19 (step @p794 :rule aci_norm :args ((= @t539 @t535))) % 234.71/235.19 (step @p795 :rule cong :premises (@p794) :args (@t540)) % 234.71/235.19 (step @p796 :rule quant-merge-prenex :args ((= (forall @t7 @t542) @t540))) % 234.71/235.19 (step @p797 :rule alpha_equiv :args (@t543 (@list @t529 @t528) (@list @t12 @t544))) % 234.71/235.19 (step @p798 :rule refl :args (@t534)) % 234.71/235.19 (step @p799 :rule nary_cong :premises (@p129 @p798 @p797) :args (@t545)) % 234.71/235.19 (step @p800 :rule quant-miniscope-or :args ((= @t542 @t545))) % 234.71/235.19 (step @p801 :rule trans :premises (@p800 @p799)) % 234.71/235.19 (step @p802 :rule symm :premises (@p801)) % 234.71/235.19 (step @p803 :rule cong :premises (@p802) :args ((forall @t7 @t551))) % 234.71/235.19 (step @p804 :rule trans :premises (@p803 @p796)) % 234.71/235.19 (step @p805 :rule trans :premises (@p804 @p795)) % 234.71/235.19 (step @p806 :rule aci_norm :args ((= (or @t191 @t552) @t551))) % 234.71/235.19 (step @p807 :rule bool-impl-elim :args (@t30 @t552)) % 234.71/235.19 (step @p808 :rule trans :premises (@p807 @p806)) % 234.71/235.19 (step @p809 :rule cong :premises (@p808) :args ((forall @t7 (=> @t30 @t552)))) % 234.71/235.19 (step @p810 :rule trans :premises (@p809 @p805)) % 234.71/235.19 (step @p811 :rule aci_norm :args ((= @t554 @t548))) % 234.71/235.19 (step @p812 :rule cong :premises (@p811) :args (@t555)) % 234.71/235.19 (step @p813 :rule quant-merge-prenex :args ((= (forall @t16 @t557) @t555))) % 234.71/235.19 (step @p814 :rule alpha_equiv :args (@t558 (@list @t544) @t378)) % 234.71/235.19 (step @p815 :rule nary_cong :premises (@p260 @p814) :args (@t559)) % 234.71/235.19 (step @p816 :rule quant-miniscope-or :args ((= @t557 @t559))) % 234.71/235.19 (step @p817 :rule trans :premises (@p816 @p815)) % 234.71/235.19 (step @p818 :rule symm :premises (@p817)) % 234.71/235.19 (step @p819 :rule cong :premises (@p818) :args (@t563)) % 234.71/235.19 (step @p820 :rule trans :premises (@p819 @p813)) % 234.71/235.19 (step @p821 :rule trans :premises (@p820 @p812)) % 234.71/235.19 (step @p822 :rule refl :args (@t534)) % 234.71/235.19 (step @p823 :rule nary_cong :premises (@p822 @p821) :args (@t564)) % 234.71/235.19 (step @p824 :rule quant-miniscope-or :args ((= (forall @t16 @t565) @t564))) % 234.71/235.19 (step @p825 :rule aci_norm :args ((= @t566 @t565))) % 234.71/235.19 (step @p826 :rule cong :premises (@p825) :args ((forall @t16 @t566))) % 234.71/235.19 (step @p827 :rule trans :premises (@p826 @p824)) % 234.71/235.19 (step @p828 :rule trans :premises (@p827 @p823)) % 234.71/235.19 (step @p829 :rule aci_norm :args ((= (or @t287 @t567) @t566))) % 234.71/235.19 (step @p830 :rule bool-impl-elim :args (@t15 @t567)) % 234.71/235.19 (step @p831 :rule trans :premises (@p830 @p829)) % 234.71/235.19 (step @p832 :rule cong :premises (@p831) :args ((forall @t16 (=> @t15 @t567)))) % 234.71/235.19 (step @p833 :rule trans :premises (@p832 @p828)) % 234.71/235.19 (step @p834 :rule quant-miniscope-or :args ((= (forall @t14 @t568) @t567))) % 234.71/235.19 (step @p835 :rule aci_norm :args ((= @t569 @t568))) % 234.71/235.19 (step @p836 :rule cong :premises (@p835) :args ((forall @t14 @t569))) % 234.71/235.19 (step @p837 :rule trans :premises (@p836 @p834)) % 234.71/235.19 (step @p838 :rule aci_norm :args ((= (or @t301 (or @t534 @t119)) @t569))) % 234.71/235.19 (step @p839 :rule bool-impl-elim :args (@t37 @t119)) % 234.71/235.19 (step @p840 :rule nary_cong :premises (@p297 @p839) :args ((or @t301 @t120))) % 234.71/235.19 (step @p841 :rule trans :premises (@p840 @p838)) % 234.71/235.19 (step @p842 :rule bool-impl-elim :args (@t13 @t120)) % 234.71/235.19 (step @p843 :rule trans :premises (@p842 @p841)) % 234.71/235.19 (step @p844 :rule cong :premises (@p843) :args (@t121)) % 234.71/235.19 (step @p845 :rule trans :premises (@p844 @p837)) % 234.71/235.19 (step @p846 :rule cong :premises (@p361 @p845) :args (@t122)) % 234.71/235.19 (step @p847 :rule cong :premises (@p846) :args (@t123)) % 234.71/235.19 (step @p848 :rule trans :premises (@p847 @p833)) % 234.71/235.19 (step @p849 :rule cong :premises (@p142 @p848) :args (@t124)) % 234.71/235.19 (step @p850 :rule cong :premises (@p849) :args (@t125)) % 234.71/235.19 (step @p851 :rule trans :premises (@p850 @p810)) % 234.71/235.19 (step @p852 :rule cong :premises (@p101 @p851) :args (@t126)) % 234.71/235.19 (step @p853 :rule cong :premises (@p852) :args (@t127)) % 234.71/235.19 (step @p854 :rule trans :premises (@p853 @p793)) % 234.71/235.19 (step @p855 :rule eq_resolve :premises (@p56 @p854)) % 234.71/235.19 (step @p856 :rule instantiate :premises (@p855) :args ((@list @t313 @t313 tptp.nil @t571))) % 234.71/235.19 (step @p857 :rule aci_norm :args ((= @t576 (or @t180 @t574 @t573)))) % 234.71/235.19 (step @p858 :rule cong :premises (@p857) :args (@t577)) % 234.71/235.19 (step @p859 :rule quant-merge-prenex :args ((= (forall @t9 @t579) @t577))) % 234.71/235.19 (step @p860 :rule alpha_equiv :args (@t580 (@list @t572) @t250)) % 234.71/235.19 (step @p861 :rule nary_cong :premises (@p114 @p860) :args (@t581)) % 234.71/235.19 (step @p862 :rule quant-miniscope-or :args ((= @t579 @t581))) % 234.71/235.19 (step @p863 :rule trans :premises (@p862 @p861)) % 234.71/235.19 (step @p864 :rule symm :premises (@p863)) % 234.71/235.19 (step @p865 :rule cong :premises (@p864) :args ((forall @t9 (or @t180 @t584)))) % 234.71/235.19 (step @p866 :rule trans :premises (@p865 @p859)) % 234.71/235.19 (step @p867 :rule trans :premises (@p866 @p858)) % 234.71/235.19 (step @p868 :rule bool-impl-elim :args (@t17 @t584)) % 234.71/235.19 (step @p869 :rule cong :premises (@p868) :args ((forall @t9 (=> @t17 @t584)))) % 234.71/235.19 (step @p870 :rule trans :premises (@p869 @p867)) % 234.71/235.19 (step @p871 :rule bool-impl-elim :args (@t30 @t583)) % 234.71/235.19 (step @p872 :rule cong :premises (@p871) :args ((forall @t7 (=> @t30 @t583)))) % 234.71/235.19 (step @p873 :rule bool-and-de-morgan :args (@t15 @t582 true)) % 234.71/235.19 (step @p874 :rule cong :premises (@p873) :args (@t586)) % 234.71/235.19 (step @p875 :rule cong :premises (@p874) :args (@t587)) % 234.71/235.19 (step @p876 :rule exists-elim :args ((= (exists @t16 @t585) @t587))) % 234.71/235.19 (step @p877 :rule trans :premises (@p876 @p875)) % 234.71/235.19 (step @p878 :rule eq-symm :args (@t25 @t2)) % 234.71/235.19 (step @p879 :rule nary_cong :premises (@p361 @p878) :args (@t26)) % 234.71/235.19 (step @p880 :rule cong :premises (@p879) :args (@t27)) % 234.71/235.19 (step @p881 :rule trans :premises (@p880 @p877)) % 234.71/235.19 (step @p882 :rule refl :args (@t28)) % 234.71/235.19 (step @p883 :rule cong :premises (@p882 @p881) :args (@t29)) % 234.71/235.19 (step @p884 :rule cong :premises (@p142 @p883) :args (@t31)) % 234.71/235.19 (step @p885 :rule cong :premises (@p884) :args (@t32)) % 234.71/235.19 (step @p886 :rule trans :premises (@p885 @p872)) % 234.71/235.19 (step @p887 :rule cong :premises (@p101 @p886) :args (@t33)) % 234.71/235.19 (step @p888 :rule cong :premises (@p887) :args (@t34)) % 234.71/235.19 (step @p889 :rule trans :premises (@p888 @p870)) % 234.71/235.19 (step @p890 :rule eq_resolve :premises (@p5 @p889)) % 234.71/235.19 (step @p891 :rule instantiate :premises (@p890) :args ((@list @t222 @t313))) % 234.71/235.19 (step @p892 :rule cnf_or_pos :args (@t590)) % 234.71/235.19 (step @p893 :rule reordering :premises (@p892) :args ((or @t322 @t231 @t589 (not @t590)))) % 234.71/235.19 (step @p894 :rule chain_m_resolution :premises (@p893 @p715 @p380 @p891) :args (@t589 @t326 (@list @t321 @t230 @t590))) % 234.71/235.19 (step @p895 :rule bool-double-not-elim :args (@t316)) % 234.71/235.19 (step @p896 :rule nary_cong :premises (@p375 @p895) :args ((or @t323 (not @t317)))) % 234.71/235.19 (step @p897 :rule cnf_or_neg :args (@t323 5)) % 234.71/235.19 (step @p898 :rule eq_resolve :premises (@p897 @p896)) % 234.71/235.19 (step @p899 :rule reordering :premises (@p898) :args ((or @t316 @t323))) % 234.71/235.19 (step @p900 :rule chain_m_resolution :premises (@p899 @p373) :args (@t316 @t324 @t325)) % 234.71/235.19 (step @p901 :rule cnf_equiv_pos1 :args (@t589)) % 234.71/235.19 (step @p902 :rule reordering :premises (@p901) :args ((or @t317 @t588 (not @t589)))) % 234.71/235.19 (step @p903 :rule chain_m_resolution :premises (@p902 @p900 @p894) :args (@t588 @t174 (@list @t316 @t589))) % 234.71/235.19 (step @p904 :rule skolemize :premises (@p903)) % 234.71/235.19 (step @p905 :rule bool-double-not-elim :args (@t591)) % 234.71/235.19 (step @p906 :rule refl :args (@t596)) % 234.71/235.19 (step @p907 :rule nary_cong :premises (@p906 @p905) :args ((or @t596 (not @t595)))) % 234.71/235.19 (step @p908 :rule cnf_or_neg :args (@t596 0)) % 234.71/235.19 (step @p909 :rule eq_resolve :premises (@p908 @p907)) % 234.71/235.19 (step @p910 :rule reordering :premises (@p909) :args ((or @t591 @t596))) % 234.71/235.19 (step @p911 :rule chain_m_resolution :premises (@p910 @p904) :args (@t591 @t324 @t597)) % 234.71/235.19 (step @p912 :rule bool-impl-elim :args (@t17 @t117)) % 234.71/235.19 (step @p913 :rule cong :premises (@p912) :args (@t118)) % 234.71/235.19 (step @p914 :rule eq_resolve :premises (@p55 @p913)) % 234.71/235.19 (step @p915 :rule instantiate :premises (@p914) :args (@t500)) % 234.71/235.19 (step @p916 :rule cnf_or_pos :args (@t599)) % 234.71/235.19 (step @p917 :rule reordering :premises (@p916) :args ((or @t322 @t598 (not @t599)))) % 234.71/235.19 (step @p918 :rule chain_m_resolution :premises (@p917 @p715 @p915) :args (@t598 @t174 (@list @t321 @t599))) % 234.71/235.19 (step @p919 :rule cnf_or_pos :args (@t603)) % 234.71/235.19 (step @p920 :rule factoring :premises (@p919)) % 234.71/235.19 (step @p921 :rule reordering :premises (@p920) :args ((or @t172 @t322 @t602 @t595 @t601 (not @t603)))) % 234.71/235.19 (step @p922 :rule chain_m_resolution :premises (@p921 @p17 @p715 @p918 @p911 @p856) :args (@t601 @t604 (@list @t59 @t321 @t598 @t591 @t603))) % 234.71/235.19 (step @p923 :rule true_intro :premises (@p922)) % 234.71/235.19 (step @p924 :rule refl :args (@t313)) % 234.71/235.19 (step @p925 :rule refl :args (@t571)) % 234.71/235.19 (step @p926 :rule instantiate :premises (@p105) :args (@t500)) % 234.71/235.19 (step @p927 :rule cnf_or_pos :args (@t606)) % 234.71/235.19 (step @p928 :rule reordering :premises (@p927) :args ((or @t322 @t605 (not @t606)))) % 234.71/235.19 (step @p929 :rule chain_m_resolution :premises (@p928 @p715 @p926) :args (@t605 @t174 (@list @t321 @t606))) % 234.71/235.19 (step @p930 :rule cong :premises (@p929 @p925) :args (@t592)) % 234.71/235.19 (step @p931 :rule bool-double-not-elim :args (@t593)) % 234.71/235.19 (step @p932 :rule nary_cong :premises (@p906 @p931) :args ((or @t596 (not @t594)))) % 234.71/235.19 (step @p933 :rule cnf_or_neg :args (@t596 1)) % 234.71/235.19 (step @p934 :rule eq_resolve :premises (@p933 @p932)) % 234.71/235.19 (step @p935 :rule reordering :premises (@p934) :args ((or @t593 @t596))) % 234.71/235.19 (step @p936 :rule chain_m_resolution :premises (@p935 @p904) :args (@t593 @t324 @t597)) % 234.71/235.19 (step @p937 :rule trans :premises (@p936 @p930)) % 234.71/235.19 (step @p938 :rule cong :premises (@p937 @p924) :args (@t607)) % 234.71/235.19 (step @p939 :rule trans :premises (@p938 @p923)) % 234.71/235.19 (step @p940 :rule true_elim :premises (@p939)) % 234.71/235.19 (step @p941 :rule cnf_or_pos :args (@t610)) % 234.71/235.19 (step @p942 :rule reordering :premises (@p941) :args ((or @t322 @t602 @t609 @t608 (not @t610)))) % 234.71/235.19 (step @p943 :rule chain_m_resolution :premises (@p942 @p715 @p918 @p940 @p779) :args (@t609 @t456 (@list @t321 @t598 @t607 @t610))) % 234.71/235.19 (step @p944 :rule bool-double-not-elim :args (@t510)) % 234.71/235.19 (step @p945 :rule refl :args (@t611)) % 234.71/235.19 (step @p946 :rule nary_cong :premises (@p945 @p759 @p944) :args ((or @t611 @t507 (not @t511)))) % 234.71/235.19 (step @p947 :rule cnf_equiv_pos2 :args (@t512)) % 234.71/235.19 (step @p948 :rule eq_resolve :premises (@p947 @p946)) % 234.71/235.19 (step @p949 :rule reordering :premises (@p948) :args ((or @t510 @t507 @t611))) % 234.71/235.19 (step @p950 :rule chain_m_resolution :premises (@p949 @p943 @p772) :args (@t510 @t612 (@list @t507 @t512))) % 234.71/235.19 (step @p951 :rule refl :args (@t511)) % 234.71/235.19 (step @p952 :rule refl :args (@t613)) % 234.71/235.19 (step @p953 :rule bool-double-not-elim :args (@t101)) % 234.71/235.19 (step @p954 :rule nary_cong :premises (@p953 @p952 @p951) :args ((or (not @t102) @t613 @t511))) % 234.71/235.19 (assume-push @p1118 @t496) % 234.71/235.19 (assume-push @p1119 @t510) % 234.71/235.19 (assume-push @p1120 @t102) % 234.71/235.19 (step @p958 :rule evaluate :args (@t614)) % 234.71/235.19 (step @p959 :rule true_intro :premises (@p1118)) % 234.71/235.19 (step @p960 :rule cong :premises (@p950) :args (@t101)) % 234.71/235.19 (step @p961 :rule false_intro :premises (@p39)) % 234.71/235.19 (step @p962 :rule symm :premises (@p961)) % 234.71/235.19 (step @p963 :rule trans :premises (@p962 @p960 @p959)) % 234.71/235.19 (step @p964 false :rule eq_resolve :premises (@p963 @p958)) % 234.71/235.19 (step-pop @p1121 :rule scope :premises (@p964)) % 234.71/235.19 (step-pop @p1122 :rule scope :premises (@p1121)) % 234.71/235.19 (step-pop @p1123 :rule scope :premises (@p1122)) % 234.71/235.19 (step @p965 :rule process_scope :premises (@p1123) :args (false)) % 234.71/235.19 (assume-push @p1124 @t102) % 234.71/235.19 (assume-push @p1125 @t496) % 234.71/235.19 (assume-push @p1126 @t510) % 234.71/235.19 (step @p972 :rule and_intro :premises (@p1125 @p950 @p39)) % 234.71/235.19 (step-pop @p1127 :rule scope :premises (@p972)) % 234.71/235.19 (step-pop @p1128 :rule scope :premises (@p1127)) % 234.71/235.19 (step-pop @p1129 :rule scope :premises (@p1128)) % 234.71/235.19 (step @p973 :rule process_scope :premises (@p1129) :args (@t615)) % 234.71/235.19 (step @p977 :rule implies_elim :premises (@p973)) % 234.71/235.19 (step @p978 :rule resolution :premises (@p977 @p965) :args (true @t615)) % 234.71/235.19 (step @p979 :rule not_and :premises (@p978)) % 234.71/235.19 (step @p980 :rule eq_resolve :premises (@p979 @p954)) % 234.71/235.19 (step @p981 :rule chain_m_resolution :premises (@p980 @p39 @p950) :args (@t613 @t612 (@list @t101 @t510))) % 234.71/235.19 (step @p982 :rule bool-double-not-elim :args (@t501)) % 234.71/235.19 (step @p983 :rule refl :args (@t616)) % 234.71/235.19 (step @p984 :rule nary_cong :premises (@p983 @p742 @p982) :args ((or @t616 @t496 (not @t502)))) % 234.71/235.19 (step @p985 :rule cnf_equiv_pos2 :args (@t503)) % 234.71/235.19 (step @p986 :rule eq_resolve :premises (@p985 @p984)) % 234.71/235.19 (step @p987 :rule reordering :premises (@p986) :args ((or @t496 @t501 @t616))) % 234.71/235.19 (step @p988 :rule chain_m_resolution :premises (@p987 @p981 @p756) :args (@t501 @t612 (@list @t496 @t503))) % 234.71/235.19 (step @p989 :rule eq-symm :args (@t328 @t313)) % 234.71/235.19 (step @p990 :rule cong :premises (@p989) :args (@t617)) % 234.71/235.19 (step @p991 :rule nary_cong :premises (@p475 @p990) :args (@t618)) % 234.71/235.19 (step @p992 :rule refl :args (@t501)) % 234.71/235.19 (step @p993 :rule cong :premises (@p992 @p991) :args ((=> @t501 @t618))) % 234.71/235.19 (assume-push @p1130 @t501) % 234.71/235.19 (step @p995 :rule instantiate :premises (@p1130) :args (@t619)) % 234.71/235.19 (step-pop @p1131 :rule scope :premises (@p995)) % 234.71/235.19 (step @p996 :rule process_scope :premises (@p1131) :args (@t618)) % 234.71/235.19 (step @p998 :rule eq_resolve :premises (@p996 @p993)) % 234.71/235.19 (step @p999 :rule implies_elim :premises (@p998)) % 234.71/235.19 (step @p1000 :rule chain_m_resolution :premises (@p999 @p988) :args (@t620 @t238 (@list @t501))) % 234.71/235.19 (step @p1001 :rule cnf_or_pos :args (@t620)) % 234.71/235.19 (step @p1002 :rule reordering :premises (@p1001) :args ((or @t331 @t469 (not @t620)))) % 234.71/235.19 (step @p1003 :rule chain_m_resolution :premises (@p1002 @p395 @p1000) :args (@t469 @t174 (@list @t229 @t620))) % 234.71/235.19 (step @p1004 :rule refl :args (@t467)) % 234.71/235.19 (step @p1005 :rule bool-double-not-elim :args (@t468)) % 234.71/235.19 (step @p1006 :rule refl :args (@t621)) % 234.71/235.19 (step @p1007 :rule nary_cong :premises (@p1006 @p1005 @p1004) :args ((or @t621 (not @t469) @t467))) % 234.71/235.19 (step @p1008 :rule cnf_equiv_pos1 :args (@t473)) % 234.71/235.19 (step @p1009 :rule eq_resolve :premises (@p1008 @p1007)) % 234.71/235.19 (step @p1010 :rule reordering :premises (@p1009) :args ((or @t468 @t467 @t621))) % 234.71/235.19 (step @p1011 :rule chain_m_resolution :premises (@p1010 @p1003 @p718) :args (@t467 @t612 (@list @t468 @t473))) % 234.71/235.19 (step @p1012 :rule bool-impl-elim :args (@t8 @t132)) % 234.71/235.19 (step @p1013 :rule cong :premises (@p1012) :args (@t133)) % 234.71/235.19 (step @p1014 :rule eq_resolve :premises (@p65 @p1013)) % 234.71/235.19 (step @p1015 :rule instantiate :premises (@p1014) :args (@t619)) % 234.71/235.19 (step @p1016 :rule cnf_or_pos :args (@t623)) % 234.71/235.19 (step @p1017 :rule reordering :premises (@p1016) :args ((or @t331 @t622 (not @t623)))) % 234.71/235.19 (step @p1018 :rule chain_m_resolution :premises (@p1017 @p395 @p1015) :args (@t622 @t174 (@list @t229 @t623))) % 234.71/235.19 (step @p1019 :rule cnf_or_pos :args (@t629)) % 234.71/235.19 (step @p1020 :rule reordering :premises (@p1019) :args ((or @t624 @t471 @t628 @t627 @t626 (not @t629)))) % 234.71/235.19 (step @p1021 :rule chain_m_resolution :premises (@p1020 @p1018 @p709 @p1011 @p673 @p406) :args (@t626 @t604 (@list @t622 @t470 @t467 @t466 @t629))) % 234.71/235.19 (step @p1022 :rule instantiate :premises (@p855) :args ((@list tptp.nil @t313 @t328 tptp.nil))) % 234.71/235.19 (step @p1023 :rule bool-impl-elim :args (@t17 @t630)) % 234.71/235.19 (step @p1024 :rule cong :premises (@p1023) :args ((forall @t9 (=> @t17 @t630)))) % 234.71/235.19 (step @p1025 :rule eq-symm :args (@t224 @t128)) % 234.71/235.19 (step @p1026 :rule refl :args (@t128)) % 234.71/235.19 (step @p1027 :rule cong :premises (@p163 @p1026) :args ((= @t66 @t128))) % 234.71/235.19 (step @p1028 :rule trans :premises (@p1027 @p1025)) % 234.71/235.19 (step @p1029 :rule eq-symm :args (@t128 @t66)) % 234.71/235.19 (step @p1030 :rule trans :premises (@p1029 @p1028)) % 234.71/235.19 (step @p1031 :rule cong :premises (@p101 @p1030) :args (@t129)) % 234.71/235.19 (step @p1032 :rule cong :premises (@p1031) :args (@t130)) % 234.71/235.19 (step @p1033 :rule trans :premises (@p1032 @p1024)) % 234.71/235.19 (step @p1034 :rule eq_resolve :premises (@p58 @p1033)) % 234.71/235.19 (step @p1035 :rule refl :args (@t631)) % 234.71/235.19 (step @p1036 :rule cong :premises (@p757 @p1035) :args ((= @t505 @t631))) % 234.71/235.19 (step @p1037 :rule eq-symm :args (@t631 @t505)) % 234.71/235.19 (step @p1038 :rule trans :premises (@p1037 @p1036)) % 234.71/235.19 (step @p1039 :rule nary_cong :premises (@p676 @p1038) :args (@t632)) % 234.71/235.19 (step @p1040 :rule refl :args (@t633)) % 234.71/235.19 (step @p1041 :rule cong :premises (@p1040 @p1039) :args ((=> @t633 @t632))) % 234.71/235.19 (assume-push @p1132 @t633) % 234.71/235.19 (step @p1043 :rule instantiate :premises (@p1034) :args (@t500)) % 234.71/235.19 (step-pop @p1133 :rule scope :premises (@p1043)) % 234.71/235.19 (step @p1044 :rule process_scope :premises (@p1133) :args (@t632)) % 234.71/235.19 (step @p1046 :rule eq_resolve :premises (@p1044 @p1041)) % 234.71/235.19 (step @p1047 :rule implies_elim :premises (@p1046)) % 234.71/235.19 (step @p1048 :rule chain_m_resolution :premises (@p1047 @p1034) :args (@t635 @t238 (@list @t633))) % 234.71/235.19 (step @p1049 :rule cnf_or_pos :args (@t635)) % 234.71/235.19 (step @p1050 :rule reordering :premises (@p1049) :args ((or @t322 @t634 (not @t635)))) % 234.71/235.19 (step @p1051 :rule chain_m_resolution :premises (@p1050 @p715 @p1048) :args (@t634 @t174 (@list @t321 @t635))) % 234.71/235.19 (step @p1052 :rule cnf_equiv_pos1 :args (@t634)) % 234.71/235.19 (step @p1053 :rule reordering :premises (@p1052) :args ((or @t631 @t511 (not @t634)))) % 234.71/235.19 (step @p1054 :rule chain_m_resolution :premises (@p1053 @p950 @p1051) :args (@t631 @t174 (@list @t510 @t634))) % 234.71/235.19 (step @p1055 :rule cnf_or_pos :args (@t638)) % 234.71/235.19 (step @p1056 :rule factoring :premises (@p1055)) % 234.71/235.19 (step @p1057 :rule reordering :premises (@p1056) :args ((or @t172 @t322 @t637 @t471 @t636 (not @t638)))) % 234.71/235.19 (step @p1058 :rule chain_m_resolution :premises (@p1057 @p17 @p715 @p1054 @p709 @p1022) :args (@t636 @t604 (@list @t59 @t321 @t631 @t470 @t638))) % 234.71/235.19 (step @p1059 :rule refl :args (@t639)) % 234.71/235.19 (step @p1060 :rule bool-double-not-elim :args (@t625)) % 234.71/235.19 (step @p1061 :rule refl :args (@t640)) % 234.71/235.19 (step @p1062 :rule refl :args (@t641)) % 234.71/235.19 (step @p1063 :rule nary_cong :premises (@p1062 @p1061 @p1060 @p1059) :args ((or @t641 @t640 (not @t626) @t639))) % 234.71/235.19 (assume-push @p1134 @t636) % 234.71/235.19 (assume-push @p1135 @t330) % 234.71/235.19 (assume-push @p1136 @t171) % 234.71/235.19 (assume-push @p1137 @t626) % 234.71/235.19 (step @p958 :rule evaluate :args (@t614)) % 234.71/235.19 (step @p1068 :rule true_intro :premises (@p1058)) % 234.71/235.19 (step @p1069 :rule refl :args (@t223)) % 234.71/235.19 (step @p1070 :rule cong :premises (@p1069 @p109) :args (@t328)) % 234.71/235.19 (step @p1071 :rule trans :premises (@p1070 @p399)) % 234.71/235.19 (step @p1072 :rule cong :premises (@p1071 @p632) :args (@t329)) % 234.71/235.19 (step @p1073 :rule trans :premises (@p1070 @p399 @p1072)) % 234.71/235.19 (step @p1074 :rule cong :premises (@p1073 @p924) :args (@t625)) % 234.71/235.19 (step @p1075 :rule false_intro :premises (@p1137)) % 234.71/235.19 (step @p1076 :rule symm :premises (@p1075)) % 234.71/235.19 (step @p1077 :rule trans :premises (@p1076 @p1074 @p1068)) % 234.71/235.19 (step @p1078 false :rule eq_resolve :premises (@p1077 @p958)) % 234.71/235.19 (step-pop @p1138 :rule scope :premises (@p1078)) % 234.71/235.19 (step-pop @p1139 :rule scope :premises (@p1138)) % 234.71/235.19 (step-pop @p1140 :rule scope :premises (@p1139)) % 234.71/235.19 (step-pop @p1141 :rule scope :premises (@p1140)) % 234.71/235.19 (step @p1079 :rule process_scope :premises (@p1141) :args (false)) % 234.71/235.19 (assume-push @p1142 @t171) % 234.71/235.19 (assume-push @p1143 @t330) % 234.71/235.19 (assume-push @p1144 @t626) % 234.71/235.19 (assume-push @p1145 @t636) % 234.71/235.19 (step @p1088 :rule and_intro :premises (@p1058 @p399 @p109 @p1144)) % 234.71/235.19 (step-pop @p1146 :rule scope :premises (@p1088)) % 234.71/235.19 (step-pop @p1147 :rule scope :premises (@p1146)) % 234.71/235.19 (step-pop @p1148 :rule scope :premises (@p1147)) % 234.71/235.19 (step-pop @p1149 :rule scope :premises (@p1148)) % 234.71/235.19 (step @p1089 :rule process_scope :premises (@p1149) :args (@t642)) % 234.71/235.19 (step @p1094 :rule implies_elim :premises (@p1089)) % 234.71/235.19 (step @p1095 :rule resolution :premises (@p1094 @p1079) :args (true @t642)) % 234.71/235.19 (step @p1096 :rule not_and :premises (@p1095)) % 234.71/235.19 (step @p1097 :rule eq_resolve :premises (@p1096 @p1063)) % 234.71/235.19 (step @p1098 :rule reordering :premises (@p1097) :args ((or @t641 @t625 @t640 @t639))) % 234.71/235.19 (step @p1099 false :rule chain_m_resolution :premises (@p1098 @p1058 @p1021 @p399 @p109) :args (false (@list false true false false) (@list @t636 @t625 @t330 @t171))) % 234.71/235.19 ) % 234.71/235.19 % SZS output end Proof % 234.71/235.19 % cvc5 exiting %------------------------------------------------------------------------------