%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC190+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:58:24 AM UTC 2026 % Result : Theorem 237.25s 237.57s % Output : Proof 237.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC190+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:22:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 237.25/237.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 237.25/237.57 --- Run --no-e-matching --full-saturate-quant at 6... % 237.25/237.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 237.25/237.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 237.25/237.57 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 237.25/237.57 --- Run --trigger-sel=max --full-saturate-quant at 15... % 237.25/237.57 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 237.25/237.57 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 237.25/237.57 --- Run --prenex-quant=none --full-saturate-quant at 30... % 237.25/237.57 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 237.25/237.57 --- Run --relevant-triggers --full-saturate-quant at 30... % 237.25/237.57 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 237.25/237.57 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 237.25/237.57 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 237.25/237.57 % SZS status Theorem % 237.25/237.57 % SZS output start Proof % 237.25/237.57 ( % 237.25/237.57 (declare-sort $$unsorted 0) % 237.25/237.57 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 237.25/237.57 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 237.25/237.57 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 237.25/237.57 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 237.25/237.57 (declare-const tptp.nil $$unsorted) % 237.25/237.57 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.ssList (-> $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 237.25/237.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 237.25/237.57 (define @t1 () (@var "V" $$unsorted)) % 237.25/237.57 (define @t2 () (@var "U" $$unsorted)) % 237.25/237.57 (define @t3 () (= @t2 @t1)) % 237.25/237.57 (define @t4 () (not @t3)) % 237.25/237.57 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 237.25/237.57 (define @t6 () (tptp.ssItem @t1)) % 237.25/237.57 (define @t7 () (@list @t1)) % 237.25/237.57 (define @t8 () (tptp.ssItem @t2)) % 237.25/237.57 (define @t9 () (@list @t2)) % 237.25/237.57 (define @t10 () (@var "X" $$unsorted)) % 237.25/237.57 (define @t11 () (tptp.cons @t1 @t10)) % 237.25/237.57 (define @t12 () (@var "W" $$unsorted)) % 237.25/237.57 (define @t13 () (tptp.app @t12 @t11)) % 237.25/237.57 (define @t14 () (tptp.ssList @t10)) % 237.25/237.57 (define @t15 () (and @t14 (= @t13 @t2))) % 237.25/237.57 (define @t16 () (@list @t10)) % 237.25/237.57 (define @t17 () (exists @t16 @t15)) % 237.25/237.57 (define @t18 () (tptp.ssList @t12)) % 237.25/237.57 (define @t19 () (and @t18 @t17)) % 237.25/237.57 (define @t20 () (@list @t12)) % 237.25/237.57 (define @t21 () (exists @t20 @t19)) % 237.25/237.57 (define @t22 () (tptp.memberP @t2 @t1)) % 237.25/237.57 (define @t23 () (= @t22 @t21)) % 237.25/237.57 (define @t24 () (=> @t6 @t23)) % 237.25/237.57 (define @t25 () (forall @t7 @t24)) % 237.25/237.57 (define @t26 () (tptp.ssList @t2)) % 237.25/237.57 (define @t27 () (=> @t26 @t25)) % 237.25/237.57 (define @t28 () (forall @t9 @t27)) % 237.25/237.57 (define @t29 () (tptp.cons @t1 tptp.nil)) % 237.25/237.57 (define @t30 () (tptp.app @t1 @t12)) % 237.25/237.57 (define @t31 () (tptp.frontsegP @t2 @t1)) % 237.25/237.57 (define @t32 () (tptp.ssList @t1)) % 237.25/237.57 (define @t33 () (tptp.app @t12 @t1)) % 237.25/237.57 (define @t34 () (tptp.rearsegP @t2 @t1)) % 237.25/237.57 (define @t35 () (tptp.segmentP @t2 @t1)) % 237.25/237.57 (define @t36 () (tptp.leq @t12 @t1)) % 237.25/237.57 (define @t37 () (tptp.leq @t1 @t12)) % 237.25/237.57 (define @t38 () (@var "Z" $$unsorted)) % 237.25/237.57 (define @t39 () (@var "Y" $$unsorted)) % 237.25/237.57 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 237.25/237.57 (define @t41 () (tptp.ssList @t38)) % 237.25/237.57 (define @t42 () (@list @t38)) % 237.25/237.57 (define @t43 () (tptp.ssList @t39)) % 237.25/237.57 (define @t44 () (@list @t39)) % 237.25/237.57 (define @t45 () (tptp.ssItem @t12)) % 237.25/237.57 (define @t46 () (tptp.lt @t1 @t12)) % 237.25/237.57 (define @t47 () (= @t1 @t12)) % 237.25/237.57 (define @t48 () (tptp.cons @t1 @t2)) % 237.25/237.57 (define @t49 () (tptp.ssList @t48)) % 237.25/237.57 (define @t50 () (forall @t7 (=> @t6 @t49))) % 237.25/237.57 (define @t51 () (=> @t26 @t50)) % 237.25/237.57 (define @t52 () (forall @t9 @t51)) % 237.25/237.57 (define @t53 () (tptp.ssList tptp.nil)) % 237.25/237.57 (define @t54 () (= @t1 @t2)) % 237.25/237.57 (define @t55 () (tptp.cons @t12 @t1)) % 237.25/237.57 (define @t56 () (= tptp.nil @t2)) % 237.25/237.57 (define @t57 () (tptp.hd @t2)) % 237.25/237.57 (define @t58 () (not @t56)) % 237.25/237.57 (define @t59 () (tptp.hd @t48)) % 237.25/237.57 (define @t60 () (=> @t6 (= @t59 @t1))) % 237.25/237.57 (define @t61 () (forall @t7 @t60)) % 237.25/237.57 (define @t62 () (=> @t26 @t61)) % 237.25/237.57 (define @t63 () (forall @t9 @t62)) % 237.25/237.57 (define @t64 () (tptp.tl @t2)) % 237.25/237.57 (define @t65 () (tptp.app @t2 @t1)) % 237.25/237.57 (define @t66 () (tptp.ssList @t65)) % 237.25/237.57 (define @t67 () (forall @t7 (=> @t32 @t66))) % 237.25/237.57 (define @t68 () (=> @t26 @t67)) % 237.25/237.57 (define @t69 () (forall @t9 @t68)) % 237.25/237.57 (define @t70 () (tptp.app @t1 @t2)) % 237.25/237.57 (define @t71 () (= (tptp.cons @t12 @t70) (tptp.app @t55 @t2))) % 237.25/237.57 (define @t72 () (forall @t20 (=> @t45 @t71))) % 237.25/237.57 (define @t73 () (=> @t32 @t72)) % 237.25/237.57 (define @t74 () (forall @t7 @t73)) % 237.25/237.57 (define @t75 () (=> @t26 @t74)) % 237.25/237.57 (define @t76 () (forall @t9 @t75)) % 237.25/237.57 (define @t77 () (tptp.app tptp.nil @t2)) % 237.25/237.57 (define @t78 () (=> @t26 (= @t77 @t2))) % 237.25/237.57 (define @t79 () (forall @t9 @t78)) % 237.25/237.57 (define @t80 () (tptp.leq @t1 @t2)) % 237.25/237.57 (define @t81 () (tptp.leq @t2 @t1)) % 237.25/237.57 (define @t82 () (tptp.geq @t2 @t1)) % 237.25/237.57 (define @t83 () (tptp.lt @t1 @t2)) % 237.25/237.57 (define @t84 () (tptp.lt @t2 @t1)) % 237.25/237.57 (define @t85 () (tptp.lt @t2 @t12)) % 237.25/237.57 (define @t86 () (tptp.gt @t2 @t1)) % 237.25/237.57 (define @t87 () (tptp.memberP @t12 @t2)) % 237.25/237.57 (define @t88 () (tptp.memberP @t1 @t2)) % 237.25/237.57 (define @t89 () (= (tptp.memberP @t30 @t2) (or @t88 @t87))) % 237.25/237.57 (define @t90 () (forall @t20 (=> @t18 @t89))) % 237.25/237.57 (define @t91 () (=> @t32 @t90)) % 237.25/237.57 (define @t92 () (forall @t7 @t91)) % 237.25/237.57 (define @t93 () (=> @t8 @t92)) % 237.25/237.57 (define @t94 () (forall @t9 @t93)) % 237.25/237.57 (define @t95 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t87))) % 237.25/237.57 (define @t96 () (forall @t20 (=> @t18 @t95))) % 237.25/237.57 (define @t97 () (=> @t6 @t96)) % 237.25/237.57 (define @t98 () (forall @t7 @t97)) % 237.25/237.57 (define @t99 () (=> @t8 @t98)) % 237.25/237.57 (define @t100 () (forall @t9 @t99)) % 237.25/237.57 (define @t101 () (tptp.app @t12 @t2)) % 237.25/237.57 (define @t102 () (tptp.cons @t2 tptp.nil)) % 237.25/237.57 (define @t103 () (tptp.hd @t1)) % 237.25/237.57 (define @t104 () (= tptp.nil @t1)) % 237.25/237.57 (define @t105 () (not @t104)) % 237.25/237.57 (define @t106 () (tptp.cons @t2 @t1)) % 237.25/237.57 (define @t107 () (= @t12 @t2)) % 237.25/237.57 (define @t108 () (= @t48 (tptp.app @t29 @t2))) % 237.25/237.57 (define @t109 () (forall @t7 (=> @t6 @t108))) % 237.25/237.57 (define @t110 () (=> @t26 @t109)) % 237.25/237.57 (define @t111 () (forall @t9 @t110)) % 237.25/237.57 (define @t112 () (= (tptp.app @t65 @t12) (tptp.app @t2 @t30))) % 237.25/237.57 (define @t113 () (forall @t20 (=> @t18 @t112))) % 237.25/237.57 (define @t114 () (=> @t32 @t113)) % 237.25/237.57 (define @t115 () (forall @t7 @t114)) % 237.25/237.57 (define @t116 () (=> @t26 @t115)) % 237.25/237.57 (define @t117 () (forall @t9 @t116)) % 237.25/237.57 (define @t118 () (@var "X4" $$unsorted)) % 237.25/237.57 (define @t119 () (tptp.memberP @t12 @t118)) % 237.25/237.57 (define @t120 () (@var "X3" $$unsorted)) % 237.25/237.57 (define @t121 () (= @t120 @t118)) % 237.25/237.57 (define @t122 () (not @t121)) % 237.25/237.57 (define @t123 () (tptp.ssItem @t118)) % 237.25/237.57 (define @t124 () (and @t123 @t122 @t119)) % 237.25/237.57 (define @t125 () (@list @t118)) % 237.25/237.57 (define @t126 () (exists @t125 @t124)) % 237.25/237.57 (define @t127 () (tptp.ssItem @t120)) % 237.25/237.57 (define @t128 () (=> @t127 @t126)) % 237.25/237.57 (define @t129 () (@list @t120)) % 237.25/237.57 (define @t130 () (forall @t129 @t128)) % 237.25/237.57 (define @t131 () (= @t39 @t38)) % 237.25/237.57 (define @t132 () (@var "X2" $$unsorted)) % 237.25/237.57 (define @t133 () (tptp.cons @t38 tptp.nil)) % 237.25/237.57 (define @t134 () (tptp.cons @t39 tptp.nil)) % 237.25/237.57 (define @t135 () (@var "X1" $$unsorted)) % 237.25/237.57 (define @t136 () (tptp.app (tptp.app @t135 @t134) @t133)) % 237.25/237.57 (define @t137 () (tptp.app @t136 @t132)) % 237.25/237.57 (define @t138 () (not (= @t137 @t2))) % 237.25/237.57 (define @t139 () (not (tptp.ssList @t132))) % 237.25/237.57 (define @t140 () (or @t139 @t138 @t131)) % 237.25/237.57 (define @t141 () (@list @t132)) % 237.25/237.57 (define @t142 () (forall @t141 @t140)) % 237.25/237.57 (define @t143 () (tptp.ssList @t135)) % 237.25/237.57 (define @t144 () (=> @t143 @t142)) % 237.25/237.57 (define @t145 () (@list @t135)) % 237.25/237.57 (define @t146 () (forall @t145 @t144)) % 237.25/237.57 (define @t147 () (tptp.ssItem @t38)) % 237.25/237.57 (define @t148 () (=> @t147 @t146)) % 237.25/237.57 (define @t149 () (forall @t42 @t148)) % 237.25/237.57 (define @t150 () (tptp.ssItem @t39)) % 237.25/237.57 (define @t151 () (=> @t150 @t149)) % 237.25/237.57 (define @t152 () (forall @t44 @t151)) % 237.25/237.57 (define @t153 () (not (= @t2 @t12))) % 237.25/237.57 (define @t154 () (not (= @t1 @t10))) % 237.25/237.57 (define @t155 () (not @t14)) % 237.25/237.57 (define @t156 () (or @t155 @t154 @t153 @t152 @t130)) % 237.25/237.57 (define @t157 () (forall @t16 @t156)) % 237.25/237.57 (define @t158 () (=> @t18 @t157)) % 237.25/237.57 (define @t159 () (forall @t20 @t158)) % 237.25/237.57 (define @t160 () (=> @t32 @t159)) % 237.25/237.57 (define @t161 () (forall @t7 @t160)) % 237.25/237.57 (define @t162 () (=> @t26 @t161)) % 237.25/237.57 (define @t163 () (forall @t9 @t162)) % 237.25/237.57 (define @t164 () (not @t163)) % 237.25/237.57 (define @t165 () (@var "BOUND_VARIABLE_9677" $$unsorted)) % 237.25/237.57 (define @t166 () (@var "BOUND_VARIABLE_9675" $$unsorted)) % 237.25/237.57 (define @t167 () (= (tptp.memberP (tptp.app @t166 @t165) @t2) (or (tptp.memberP @t166 @t2) (tptp.memberP @t165 @t2)))) % 237.25/237.57 (define @t168 () (not (tptp.ssList @t165))) % 237.25/237.57 (define @t169 () (not (tptp.ssList @t166))) % 237.25/237.57 (define @t170 () (not @t8)) % 237.25/237.57 (define @t171 () (or @t169 @t168 @t167)) % 237.25/237.57 (define @t172 () (or @t170 @t171)) % 237.25/237.57 (define @t173 () (forall (@list @t2 @t166 @t165) @t172)) % 237.25/237.57 (define @t174 () (@list @t166 @t165)) % 237.25/237.57 (define @t175 () (forall @t174 @t172)) % 237.25/237.57 (define @t176 () (forall @t174 @t171)) % 237.25/237.57 (define @t177 () (@var "BOUND_VARIABLE_9656" $$unsorted)) % 237.25/237.57 (define @t178 () (or @t170 @t176)) % 237.25/237.57 (define @t179 () (= (tptp.memberP (tptp.app @t1 @t177) @t2) (or @t88 (tptp.memberP @t177 @t2)))) % 237.25/237.57 (define @t180 () (not (tptp.ssList @t177))) % 237.25/237.57 (define @t181 () (not @t32)) % 237.25/237.57 (define @t182 () (or @t181 @t180 @t179)) % 237.25/237.57 (define @t183 () (@list @t1 @t177)) % 237.25/237.57 (define @t184 () (forall @t183 @t182)) % 237.25/237.57 (define @t185 () (or @t180 @t179)) % 237.25/237.57 (define @t186 () (or @t181 @t185)) % 237.25/237.57 (define @t187 () (forall @t183 @t186)) % 237.25/237.57 (define @t188 () (@list @t177)) % 237.25/237.57 (define @t189 () (forall @t188 @t186)) % 237.25/237.57 (define @t190 () (forall @t188 @t185)) % 237.25/237.57 (define @t191 () (@list @t12)) % 237.25/237.57 (define @t192 () (or @t181 @t190)) % 237.25/237.57 (define @t193 () (not @t18)) % 237.25/237.57 (define @t194 () (forall @t20 (or @t193 @t89))) % 237.25/237.57 (define @t195 () (@var "BOUND_VARIABLE_11114" $$unsorted)) % 237.25/237.57 (define @t196 () (@var "BOUND_VARIABLE_11110" $$unsorted)) % 237.25/237.57 (define @t197 () (@var "BOUND_VARIABLE_11108" $$unsorted)) % 237.25/237.57 (define @t198 () (@var "BOUND_VARIABLE_11112" $$unsorted)) % 237.25/237.57 (define @t199 () (tptp.app (tptp.app (tptp.app @t198 (tptp.cons @t197 tptp.nil)) (tptp.cons @t196 tptp.nil)) @t195)) % 237.25/237.57 (define @t200 () (@var "BOUND_VARIABLE_11133" $$unsorted)) % 237.25/237.57 (define @t201 () (= @t118 @t200)) % 237.25/237.57 (define @t202 () (not @t123)) % 237.25/237.57 (define @t203 () (not (forall @t125 (or @t202 @t201 (not (tptp.memberP @t199 @t118)))))) % 237.25/237.57 (define @t204 () (not (tptp.ssItem @t200))) % 237.25/237.57 (define @t205 () (not (tptp.ssList @t195))) % 237.25/237.57 (define @t206 () (not (tptp.ssList @t198))) % 237.25/237.57 (define @t207 () (= @t197 @t196)) % 237.25/237.57 (define @t208 () (not (tptp.ssItem @t196))) % 237.25/237.57 (define @t209 () (not (tptp.ssItem @t197))) % 237.25/237.57 (define @t210 () (not (tptp.ssList @t199))) % 237.25/237.57 (define @t211 () (or @t210 @t209 @t208 @t207 @t206 @t205 @t204 @t203)) % 237.25/237.57 (define @t212 () (@list @t197 @t196 @t198 @t195 @t200)) % 237.25/237.57 (define @t213 () (forall @t212 @t211)) % 237.25/237.57 (define @t214 () (@quantifiers_skolemize @t213 3)) % 237.25/237.57 (define @t215 () (@quantifiers_skolemize @t213 1)) % 237.25/237.57 (define @t216 () (tptp.cons @t215 tptp.nil)) % 237.25/237.57 (define @t217 () (tptp.app @t216 @t214)) % 237.25/237.57 (define @t218 () (@quantifiers_skolemize @t213 0)) % 237.25/237.57 (define @t219 () (tptp.cons @t218 tptp.nil)) % 237.25/237.57 (define @t220 () (tptp.app @t219 @t217)) % 237.25/237.57 (define @t221 () (@quantifiers_skolemize @t213 2)) % 237.25/237.57 (define @t222 () (@var "BOUND_VARIABLE_9145" $$unsorted)) % 237.25/237.57 (define @t223 () (tptp.ssList (tptp.cons @t222 @t2))) % 237.25/237.57 (define @t224 () (not (tptp.ssItem @t222))) % 237.25/237.57 (define @t225 () (not @t26)) % 237.25/237.57 (define @t226 () (or @t224 @t223)) % 237.25/237.57 (define @t227 () (or @t225 @t226)) % 237.25/237.57 (define @t228 () (forall (@list @t2 @t222) @t227)) % 237.25/237.57 (define @t229 () (@list @t222)) % 237.25/237.57 (define @t230 () (forall @t229 @t227)) % 237.25/237.57 (define @t231 () (forall @t229 @t226)) % 237.25/237.57 (define @t232 () (@list @t1)) % 237.25/237.57 (define @t233 () (or @t225 @t231)) % 237.25/237.57 (define @t234 () (not @t6)) % 237.25/237.57 (define @t235 () (forall @t7 (or @t234 @t49))) % 237.25/237.57 (define @t236 () (tptp.app tptp.nil @t217)) % 237.25/237.57 (define @t237 () (@var "BOUND_VARIABLE_9389" $$unsorted)) % 237.25/237.57 (define @t238 () (tptp.ssList (tptp.app @t2 @t237))) % 237.25/237.57 (define @t239 () (not (tptp.ssList @t237))) % 237.25/237.57 (define @t240 () (or @t239 @t238)) % 237.25/237.57 (define @t241 () (or @t225 @t240)) % 237.25/237.57 (define @t242 () (forall (@list @t2 @t237) @t241)) % 237.25/237.57 (define @t243 () (@list @t237)) % 237.25/237.57 (define @t244 () (forall @t243 @t241)) % 237.25/237.57 (define @t245 () (forall @t243 @t240)) % 237.25/237.57 (define @t246 () (or @t225 @t245)) % 237.25/237.57 (define @t247 () (forall @t7 (or @t181 @t66))) % 237.25/237.57 (define @t248 () (not (= @t199 @t199))) % 237.25/237.57 (define @t249 () (or @t210 @t209 @t208 @t207 @t206 @t205 @t248 @t204 @t203)) % 237.25/237.57 (define @t250 () (not (tptp.memberP @t2 @t118))) % 237.25/237.57 (define @t251 () (not (forall @t125 (or @t202 @t201 @t250)))) % 237.25/237.57 (define @t252 () (not (= @t2 @t199))) % 237.25/237.57 (define @t253 () (or @t252 @t225 @t209 @t208 @t207 @t206 @t205 @t252 @t204 @t251)) % 237.25/237.57 (define @t254 () (or @t225 @t209 @t208 @t207 @t206 @t205 @t252 @t204 @t251)) % 237.25/237.57 (define @t255 () (forall @t9 @t254)) % 237.25/237.57 (define @t256 () (forall @t212 @t255)) % 237.25/237.57 (define @t257 () (forall (@list @t197 @t196 @t198 @t195 @t200 @t2) @t254)) % 237.25/237.57 (define @t258 () (@list @t2 @t197 @t196 @t198 @t195 @t200)) % 237.25/237.57 (define @t259 () (or @t204 @t251)) % 237.25/237.57 (define @t260 () (or @t209 @t208 @t207 @t206 @t205 @t252)) % 237.25/237.57 (define @t261 () (or @t225 @t260 @t259)) % 237.25/237.57 (define @t262 () (forall @t258 @t261)) % 237.25/237.57 (define @t263 () (forall @t212 @t261)) % 237.25/237.57 (define @t264 () (forall (@list @t200) @t259)) % 237.25/237.57 (define @t265 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 237.25/237.57 (define @t266 () (@list @t265)) % 237.25/237.57 (define @t267 () (forall (@list @t197 @t196 @t198 @t195) @t260)) % 237.25/237.57 (define @t268 () (@var "BOUND_VARIABLE_11009" $$unsorted)) % 237.25/237.57 (define @t269 () (@var "BOUND_VARIABLE_11007" $$unsorted)) % 237.25/237.57 (define @t270 () (@var "BOUND_VARIABLE_11005" $$unsorted)) % 237.25/237.57 (define @t271 () (or @t225 @t267 @t264)) % 237.25/237.57 (define @t272 () (= @t118 @t265)) % 237.25/237.57 (define @t273 () (not (forall @t125 (or @t202 @t272 @t250)))) % 237.25/237.57 (define @t274 () (not (tptp.ssItem @t265))) % 237.25/237.57 (define @t275 () (or @t274 @t273)) % 237.25/237.57 (define @t276 () (@list @t265)) % 237.25/237.57 (define @t277 () (forall @t276 @t275)) % 237.25/237.57 (define @t278 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t269 @t134) (tptp.cons @t270 tptp.nil)) @t268)))) % 237.25/237.57 (define @t279 () (not (tptp.ssList @t268))) % 237.25/237.57 (define @t280 () (not (tptp.ssList @t269))) % 237.25/237.57 (define @t281 () (= @t39 @t270)) % 237.25/237.57 (define @t282 () (not (tptp.ssItem @t270))) % 237.25/237.57 (define @t283 () (not @t150)) % 237.25/237.57 (define @t284 () (or @t283 @t282 @t281 @t280 @t279 @t278)) % 237.25/237.57 (define @t285 () (@list @t39 @t270 @t269 @t268)) % 237.25/237.57 (define @t286 () (forall @t285 @t284)) % 237.25/237.57 (define @t287 () (or @t225 @t286 @t277)) % 237.25/237.57 (define @t288 () (forall @t9 @t287)) % 237.25/237.57 (define @t289 () (forall @t7 @t181)) % 237.25/237.57 (define @t290 () (or @t289 @t288)) % 237.25/237.57 (define @t291 () (or @t289 @t287)) % 237.25/237.57 (define @t292 () (or @t225 @t286 @t277 @t289)) % 237.25/237.57 (define @t293 () (or @t286 @t225 @t277 @t289)) % 237.25/237.57 (define @t294 () (or @t286 @t225 @t277 @t181)) % 237.25/237.57 (define @t295 () (or @t181 @t286 @t225 @t277)) % 237.25/237.57 (define @t296 () (or @t286 @t181 @t225 @t277)) % 237.25/237.57 (define @t297 () (or @t225 @t277)) % 237.25/237.57 (define @t298 () (or @t225 @t275)) % 237.25/237.57 (define @t299 () (or @t225 @t274 @t273)) % 237.25/237.57 (define @t300 () (not (= @t2 @t2))) % 237.25/237.57 (define @t301 () (or @t225 @t300 @t274 @t273)) % 237.25/237.57 (define @t302 () (not @t119)) % 237.25/237.57 (define @t303 () (not (forall @t125 (or @t202 @t272 @t302)))) % 237.25/237.57 (define @t304 () (or @t153 @t193 @t153 @t274 @t303)) % 237.25/237.57 (define @t305 () (or @t193 @t153 @t274 @t303)) % 237.25/237.57 (define @t306 () (forall @t20 @t305)) % 237.25/237.57 (define @t307 () (forall @t276 @t306)) % 237.25/237.57 (define @t308 () (forall (@list @t265 @t12) @t305)) % 237.25/237.57 (define @t309 () (@list @t12 @t265)) % 237.25/237.57 (define @t310 () (or @t202 (= @t265 @t118) @t302)) % 237.25/237.57 (define @t311 () (forall @t125 @t310)) % 237.25/237.57 (define @t312 () (not @t311)) % 237.25/237.57 (define @t313 () (or @t193 @t153 @t274 @t312)) % 237.25/237.57 (define @t314 () (or @t274 @t312)) % 237.25/237.57 (define @t315 () (or @t193 @t153 @t314)) % 237.25/237.57 (define @t316 () (forall @t309 @t315)) % 237.25/237.57 (define @t317 () (forall @t276 @t315)) % 237.25/237.57 (define @t318 () (forall @t276 @t314)) % 237.25/237.57 (define @t319 () (or @t193 @t153 @t318)) % 237.25/237.57 (define @t320 () (not (forall @t125 (or @t202 @t121 @t302)))) % 237.25/237.57 (define @t321 () (forall @t129 (or (not @t127) @t320))) % 237.25/237.57 (define @t322 () (or @t193 @t153 @t321)) % 237.25/237.57 (define @t323 () (forall @t20 @t322)) % 237.25/237.57 (define @t324 () (or @t286 @t181 @t323)) % 237.25/237.57 (define @t325 () (or @t286 @t181 @t322)) % 237.25/237.57 (define @t326 () (or @t193 @t153 @t286 @t321 @t181)) % 237.25/237.57 (define @t327 () (or @t153 @t286 @t321 @t181)) % 237.25/237.57 (define @t328 () (not (= @t1 @t1))) % 237.25/237.57 (define @t329 () (or @t181 @t328)) % 237.25/237.57 (define @t330 () (or @t154 @t155 @t154)) % 237.25/237.57 (define @t331 () (or @t155 @t154)) % 237.25/237.57 (define @t332 () (forall @t16 @t331)) % 237.25/237.57 (define @t333 () (or @t153 @t286 @t321 @t332)) % 237.25/237.57 (define @t334 () (or @t153 @t286 @t321 @t331)) % 237.25/237.57 (define @t335 () (or @t155 @t154 @t153 @t286 @t321)) % 237.25/237.57 (define @t336 () (not @t122)) % 237.25/237.57 (define @t337 () (or @t202 @t336 @t302)) % 237.25/237.57 (define @t338 () (forall @t125 (not @t124))) % 237.25/237.57 (define @t339 () (not @t338)) % 237.25/237.57 (define @t340 () (or @t282 @t281 @t280 @t279 @t278)) % 237.25/237.57 (define @t341 () (or @t283 @t340)) % 237.25/237.57 (define @t342 () (forall @t285 @t341)) % 237.25/237.57 (define @t343 () (@list @t270 @t269 @t268)) % 237.25/237.57 (define @t344 () (forall @t343 @t341)) % 237.25/237.57 (define @t345 () (forall @t343 @t340)) % 237.25/237.57 (define @t346 () (@var "BOUND_VARIABLE_10983" $$unsorted)) % 237.25/237.57 (define @t347 () (@var "BOUND_VARIABLE_10981" $$unsorted)) % 237.25/237.57 (define @t348 () (or @t283 @t345)) % 237.25/237.57 (define @t349 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t347 @t134) @t133) @t346)))) % 237.25/237.57 (define @t350 () (not (tptp.ssList @t346))) % 237.25/237.57 (define @t351 () (not (tptp.ssList @t347))) % 237.25/237.57 (define @t352 () (not @t147)) % 237.25/237.57 (define @t353 () (or @t352 @t131 @t351 @t350 @t349)) % 237.25/237.57 (define @t354 () (@list @t38 @t347 @t346)) % 237.25/237.57 (define @t355 () (forall @t354 @t353)) % 237.25/237.57 (define @t356 () (or @t351 @t350 @t349)) % 237.25/237.57 (define @t357 () (or @t352 @t131 @t356)) % 237.25/237.57 (define @t358 () (forall @t354 @t357)) % 237.25/237.57 (define @t359 () (@list @t347 @t346)) % 237.25/237.57 (define @t360 () (forall @t359 @t357)) % 237.25/237.57 (define @t361 () (forall @t359 @t356)) % 237.25/237.57 (define @t362 () (@var "BOUND_VARIABLE_10962" $$unsorted)) % 237.25/237.57 (define @t363 () (or @t352 @t131 @t361)) % 237.25/237.57 (define @t364 () (not (= @t2 (tptp.app @t136 @t362)))) % 237.25/237.57 (define @t365 () (not (tptp.ssList @t362))) % 237.25/237.57 (define @t366 () (not @t143)) % 237.25/237.57 (define @t367 () (or @t366 @t365 @t364)) % 237.25/237.57 (define @t368 () (@list @t135 @t362)) % 237.25/237.57 (define @t369 () (forall @t368 @t367)) % 237.25/237.57 (define @t370 () (or @t352 @t131 @t369)) % 237.25/237.57 (define @t371 () (or @t131 @t369)) % 237.25/237.57 (define @t372 () (or @t365 @t364)) % 237.25/237.57 (define @t373 () (or @t366 @t372)) % 237.25/237.57 (define @t374 () (forall @t368 @t373)) % 237.25/237.57 (define @t375 () (@list @t362)) % 237.25/237.57 (define @t376 () (forall @t375 @t373)) % 237.25/237.57 (define @t377 () (forall @t375 @t372)) % 237.25/237.57 (define @t378 () (or @t366 @t377)) % 237.25/237.57 (define @t379 () (not (= @t2 @t137))) % 237.25/237.57 (define @t380 () (or @t139 @t379)) % 237.25/237.57 (define @t381 () (forall @t141 @t380)) % 237.25/237.57 (define @t382 () (or @t366 @t381)) % 237.25/237.57 (define @t383 () (forall @t145 @t382)) % 237.25/237.57 (define @t384 () (or @t131 @t383)) % 237.25/237.57 (define @t385 () (or @t131 @t382)) % 237.25/237.57 (define @t386 () (or @t366 @t131 @t381)) % 237.25/237.57 (define @t387 () (or @t131 @t381)) % 237.25/237.57 (define @t388 () (or @t131 @t380)) % 237.25/237.57 (define @t389 () (or @t139 @t379 @t131)) % 237.25/237.57 (define @t390 () (tptp.ssItem @t215)) % 237.25/237.57 (define @t391 () (tptp.app @t221 @t219)) % 237.25/237.57 (define @t392 () (tptp.app (tptp.app @t391 @t216) @t214)) % 237.25/237.57 (define @t393 () (@quantifiers_skolemize @t213 4)) % 237.25/237.57 (define @t394 () (forall @t125 (or @t202 (= @t118 @t393) (not (tptp.memberP @t392 @t118))))) % 237.25/237.57 (define @t395 () (not @t394)) % 237.25/237.57 (define @t396 () (tptp.ssList @t214)) % 237.25/237.57 (define @t397 () (not @t396)) % 237.25/237.57 (define @t398 () (tptp.ssList @t221)) % 237.25/237.57 (define @t399 () (not @t398)) % 237.25/237.57 (define @t400 () (= @t218 @t215)) % 237.25/237.57 (define @t401 () (not @t390)) % 237.25/237.57 (define @t402 () (tptp.ssItem @t218)) % 237.25/237.57 (define @t403 () (not @t402)) % 237.25/237.57 (define @t404 () (tptp.ssList @t392)) % 237.25/237.57 (define @t405 () (not @t404)) % 237.25/237.57 (define @t406 () (or @t405 @t403 @t401 @t400 @t399 @t397 (not (tptp.ssItem @t393)) @t395)) % 237.25/237.57 (define @t407 () (@list true)) % 237.25/237.57 (define @t408 () (@list @t406)) % 237.25/237.57 (define @t409 () (tptp.ssList @t216)) % 237.25/237.57 (define @t410 () (not @t53)) % 237.25/237.57 (define @t411 () (or @t410 @t401 @t409)) % 237.25/237.57 (define @t412 () (@list false false false)) % 237.25/237.57 (define @t413 () (tptp.ssList @t217)) % 237.25/237.57 (define @t414 () (not @t409)) % 237.25/237.57 (define @t415 () (or @t414 @t397 @t413)) % 237.25/237.57 (define @t416 () (= @t2 @t77)) % 237.25/237.57 (define @t417 () (= @t217 @t236)) % 237.25/237.57 (define @t418 () (not @t413)) % 237.25/237.57 (define @t419 () (or @t418 @t417)) % 237.25/237.57 (define @t420 () (@list false false)) % 237.25/237.57 (define @t421 () (tptp.ssList @t236)) % 237.25/237.57 (define @t422 () (tptp.cons @t218 @t236)) % 237.25/237.57 (define @t423 () (tptp.ssList @t422)) % 237.25/237.57 (define @t424 () (not @t421)) % 237.25/237.57 (define @t425 () (or @t424 @t403 @t423)) % 237.25/237.57 (define @t426 () (tptp.cons @t218 @t217)) % 237.25/237.57 (define @t427 () (@var "BOUND_VARIABLE_10548" $$unsorted)) % 237.25/237.57 (define @t428 () (= (tptp.cons @t427 @t2) (tptp.app (tptp.cons @t427 tptp.nil) @t2))) % 237.25/237.57 (define @t429 () (not (tptp.ssItem @t427))) % 237.25/237.57 (define @t430 () (or @t225 @t429 @t428)) % 237.25/237.57 (define @t431 () (or @t429 @t428)) % 237.25/237.57 (define @t432 () (or @t225 @t431)) % 237.25/237.57 (define @t433 () (@list @t2 @t427)) % 237.25/237.57 (define @t434 () (forall @t433 @t432)) % 237.25/237.57 (define @t435 () (@list @t427)) % 237.25/237.57 (define @t436 () (forall @t435 @t432)) % 237.25/237.57 (define @t437 () (forall @t435 @t431)) % 237.25/237.57 (define @t438 () (or @t225 @t437)) % 237.25/237.57 (define @t439 () (forall @t7 (or @t234 @t108))) % 237.25/237.57 (define @t440 () (or @t418 @t403 (= @t426 @t220))) % 237.25/237.57 (define @t441 () (forall @t433 @t430)) % 237.25/237.57 (define @t442 () (= @t220 @t426)) % 237.25/237.57 (define @t443 () (or @t418 @t403 @t442)) % 237.25/237.57 (define @t444 () (@list false)) % 237.25/237.57 (define @t445 () (tptp.ssList @t220)) % 237.25/237.57 (define @t446 () (tptp.memberP @t220 @t218)) % 237.25/237.57 (define @t447 () (or (tptp.memberP @t221 @t218) @t446)) % 237.25/237.57 (define @t448 () (tptp.app @t221 @t220)) % 237.25/237.57 (define @t449 () (tptp.memberP @t448 @t218)) % 237.25/237.57 (define @t450 () (= @t449 @t447)) % 237.25/237.57 (define @t451 () (not @t445)) % 237.25/237.57 (define @t452 () (or @t403 @t399 @t451 @t450)) % 237.25/237.57 (define @t453 () (@list false false false false)) % 237.25/237.57 (define @t454 () (@var "BOUND_VARIABLE_10589" $$unsorted)) % 237.25/237.57 (define @t455 () (@var "BOUND_VARIABLE_10587" $$unsorted)) % 237.25/237.57 (define @t456 () (= (tptp.app (tptp.app @t2 @t455) @t454) (tptp.app @t2 (tptp.app @t455 @t454)))) % 237.25/237.57 (define @t457 () (not (tptp.ssList @t454))) % 237.25/237.57 (define @t458 () (not (tptp.ssList @t455))) % 237.25/237.57 (define @t459 () (or @t458 @t457 @t456)) % 237.25/237.57 (define @t460 () (or @t225 @t459)) % 237.25/237.57 (define @t461 () (forall (@list @t2 @t455 @t454) @t460)) % 237.25/237.57 (define @t462 () (@list @t455 @t454)) % 237.25/237.57 (define @t463 () (forall @t462 @t460)) % 237.25/237.57 (define @t464 () (forall @t462 @t459)) % 237.25/237.57 (define @t465 () (@var "BOUND_VARIABLE_10569" $$unsorted)) % 237.25/237.57 (define @t466 () (or @t225 @t464)) % 237.25/237.57 (define @t467 () (= (tptp.app @t65 @t465) (tptp.app @t2 (tptp.app @t1 @t465)))) % 237.25/237.57 (define @t468 () (not (tptp.ssList @t465))) % 237.25/237.57 (define @t469 () (or @t181 @t468 @t467)) % 237.25/237.57 (define @t470 () (@list @t1 @t465)) % 237.25/237.57 (define @t471 () (forall @t470 @t469)) % 237.25/237.57 (define @t472 () (or @t468 @t467)) % 237.25/237.57 (define @t473 () (or @t181 @t472)) % 237.25/237.57 (define @t474 () (forall @t470 @t473)) % 237.25/237.57 (define @t475 () (@list @t465)) % 237.25/237.57 (define @t476 () (forall @t475 @t473)) % 237.25/237.57 (define @t477 () (forall @t475 @t472)) % 237.25/237.57 (define @t478 () (or @t181 @t477)) % 237.25/237.57 (define @t479 () (forall @t20 (or @t193 @t112))) % 237.25/237.57 (define @t480 () (@list tptp.nil @t218)) % 237.25/237.57 (define @t481 () (tptp.ssList @t219)) % 237.25/237.57 (define @t482 () (or @t410 @t403 @t481)) % 237.25/237.57 (define @t483 () (tptp.app @t391 @t217)) % 237.25/237.57 (define @t484 () (= @t483 @t448)) % 237.25/237.57 (define @t485 () (not @t481)) % 237.25/237.57 (define @t486 () (or @t399 @t485 @t418 @t484)) % 237.25/237.57 (define @t487 () (tptp.ssList @t391)) % 237.25/237.57 (define @t488 () (or @t399 @t485 @t487)) % 237.25/237.57 (define @t489 () (= @t392 @t483)) % 237.25/237.57 (define @t490 () (not @t487)) % 237.25/237.57 (define @t491 () (or @t490 @t414 @t397 @t489)) % 237.25/237.57 (define @t492 () (@var "BOUND_VARIABLE_8251" $$unsorted)) % 237.25/237.57 (define @t493 () (@var "BOUND_VARIABLE_8276" $$unsorted)) % 237.25/237.57 (define @t494 () (not (tptp.ssList @t492))) % 237.25/237.57 (define @t495 () (@list @t12 @t492)) % 237.25/237.57 (define @t496 () (= (tptp.memberP @t2 @t493) (not (forall @t495 (or @t193 @t494 (not (= @t2 (tptp.app @t12 (tptp.cons @t493 @t492))))))))) % 237.25/237.57 (define @t497 () (not (tptp.ssItem @t493))) % 237.25/237.57 (define @t498 () (or @t497 @t496)) % 237.25/237.57 (define @t499 () (or @t225 @t498)) % 237.25/237.57 (define @t500 () (forall (@list @t2 @t493) @t499)) % 237.25/237.57 (define @t501 () (@list @t493)) % 237.25/237.57 (define @t502 () (forall @t501 @t499)) % 237.25/237.57 (define @t503 () (forall @t501 @t498)) % 237.25/237.57 (define @t504 () (or @t225 @t503)) % 237.25/237.57 (define @t505 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t492))))) % 237.25/237.57 (define @t506 () (or @t193 @t494 @t505)) % 237.25/237.57 (define @t507 () (= @t22 (not (forall @t495 @t506)))) % 237.25/237.57 (define @t508 () (forall @t7 (or @t234 @t507))) % 237.25/237.57 (define @t509 () (or @t494 @t505)) % 237.25/237.57 (define @t510 () (or @t193 @t509)) % 237.25/237.57 (define @t511 () (forall @t495 @t510)) % 237.25/237.57 (define @t512 () (@list @t492)) % 237.25/237.57 (define @t513 () (forall @t512 @t510)) % 237.25/237.57 (define @t514 () (forall @t512 @t509)) % 237.25/237.57 (define @t515 () (or @t193 @t514)) % 237.25/237.57 (define @t516 () (= @t2 @t13)) % 237.25/237.57 (define @t517 () (forall @t16 (or @t155 (not @t516)))) % 237.25/237.57 (define @t518 () (not @t517)) % 237.25/237.57 (define @t519 () (and @t18 @t518)) % 237.25/237.57 (define @t520 () (forall @t20 (not @t519))) % 237.25/237.57 (define @t521 () (not @t520)) % 237.25/237.57 (define @t522 () (and @t14 @t516)) % 237.25/237.57 (define @t523 () (forall @t16 (not @t522))) % 237.25/237.57 (define @t524 () (not @t523)) % 237.25/237.57 (define @t525 () (forall @t495 (or @t193 @t494 (not (= @t392 (tptp.app @t12 (tptp.cons @t215 @t492))))))) % 237.25/237.57 (define @t526 () (not @t525)) % 237.25/237.57 (define @t527 () (tptp.memberP @t392 @t215)) % 237.25/237.57 (define @t528 () (= @t527 @t526)) % 237.25/237.57 (define @t529 () (or @t405 @t401 @t528)) % 237.25/237.57 (define @t530 () (tptp.app tptp.nil @t214)) % 237.25/237.57 (define @t531 () (= @t214 @t530)) % 237.25/237.57 (define @t532 () (or @t397 @t531)) % 237.25/237.57 (define @t533 () (tptp.cons @t215 @t530)) % 237.25/237.57 (define @t534 () (@var "BOUND_VARIABLE_9426" $$unsorted)) % 237.25/237.57 (define @t535 () (@var "BOUND_VARIABLE_9428" $$unsorted)) % 237.25/237.57 (define @t536 () (= (tptp.cons @t535 (tptp.app @t534 @t2)) (tptp.app (tptp.cons @t535 @t534) @t2))) % 237.25/237.57 (define @t537 () (not (tptp.ssItem @t535))) % 237.25/237.57 (define @t538 () (not (tptp.ssList @t534))) % 237.25/237.57 (define @t539 () (or @t225 @t538 @t537 @t536)) % 237.25/237.57 (define @t540 () (or @t538 @t537 @t536)) % 237.25/237.57 (define @t541 () (or @t225 @t540)) % 237.25/237.57 (define @t542 () (@list @t2 @t534 @t535)) % 237.25/237.57 (define @t543 () (forall @t542 @t541)) % 237.25/237.57 (define @t544 () (@list @t534 @t535)) % 237.25/237.57 (define @t545 () (forall @t544 @t541)) % 237.25/237.57 (define @t546 () (forall @t544 @t540)) % 237.25/237.57 (define @t547 () (@var "BOUND_VARIABLE_9408" $$unsorted)) % 237.25/237.57 (define @t548 () (or @t225 @t546)) % 237.25/237.57 (define @t549 () (= (tptp.cons @t547 @t70) (tptp.app (tptp.cons @t547 @t1) @t2))) % 237.25/237.57 (define @t550 () (not (tptp.ssItem @t547))) % 237.25/237.57 (define @t551 () (or @t181 @t550 @t549)) % 237.25/237.57 (define @t552 () (@list @t1 @t547)) % 237.25/237.57 (define @t553 () (forall @t552 @t551)) % 237.25/237.57 (define @t554 () (or @t550 @t549)) % 237.25/237.57 (define @t555 () (or @t181 @t554)) % 237.25/237.57 (define @t556 () (forall @t552 @t555)) % 237.25/237.57 (define @t557 () (@list @t547)) % 237.25/237.57 (define @t558 () (forall @t557 @t555)) % 237.25/237.57 (define @t559 () (forall @t557 @t554)) % 237.25/237.57 (define @t560 () (or @t181 @t559)) % 237.25/237.57 (define @t561 () (forall @t20 (or (not @t45) @t71))) % 237.25/237.57 (define @t562 () (or @t397 @t410 @t401 (= @t533 @t217))) % 237.25/237.57 (define @t563 () (forall @t542 @t539)) % 237.25/237.57 (define @t564 () (= @t217 @t533)) % 237.25/237.57 (define @t565 () (or @t397 @t410 @t401 @t564)) % 237.25/237.57 (define @t566 () (= @t392 (tptp.app @t391 (tptp.cons @t215 @t214)))) % 237.25/237.57 (define @t567 () (not @t566)) % 237.25/237.57 (define @t568 () (or @t490 @t397 @t567)) % 237.25/237.57 (define @t569 () (not @t568)) % 237.25/237.57 (define @t570 () (not @t528)) % 237.25/237.57 (define @t571 () (not @t527)) % 237.25/237.57 (define @t572 () (= @t215 @t393)) % 237.25/237.57 (define @t573 () (or @t401 @t572 @t571)) % 237.25/237.57 (define @t574 () (@var "BOUND_VARIABLE_9339" $$unsorted)) % 237.25/237.57 (define @t575 () (= @t574 (tptp.hd (tptp.cons @t574 @t2)))) % 237.25/237.57 (define @t576 () (not (tptp.ssItem @t574))) % 237.25/237.57 (define @t577 () (or @t576 @t575)) % 237.25/237.57 (define @t578 () (or @t225 @t577)) % 237.25/237.57 (define @t579 () (forall (@list @t2 @t574) @t578)) % 237.25/237.57 (define @t580 () (@list @t574)) % 237.25/237.57 (define @t581 () (forall @t580 @t578)) % 237.25/237.57 (define @t582 () (forall @t580 @t577)) % 237.25/237.57 (define @t583 () (or @t225 @t582)) % 237.25/237.57 (define @t584 () (= @t1 @t59)) % 237.25/237.57 (define @t585 () (forall @t7 (or @t234 @t584))) % 237.25/237.57 (define @t586 () (= @t218 (tptp.hd @t219))) % 237.25/237.57 (define @t587 () (or @t410 @t403 @t586)) % 237.25/237.57 (define @t588 () (not @t400)) % 237.25/237.57 (define @t589 () (not @t572)) % 237.25/237.57 (define @t590 () (= @t218 @t393)) % 237.25/237.57 (define @t591 () (not @t590)) % 237.25/237.57 (define @t592 () (not @t586)) % 237.25/237.57 (define @t593 () (and @t586 @t590 @t572 @t588)) % 237.25/237.57 (define @t594 () (@list true false false)) % 237.25/237.57 (define @t595 () (tptp.memberP @t392 @t218)) % 237.25/237.57 (define @t596 () (not @t595)) % 237.25/237.57 (define @t597 () (or @t403 @t590 @t596)) % 237.25/237.57 (define @t598 () (@list false true false)) % 237.25/237.57 (define @t599 () (not @t449)) % 237.25/237.57 (define @t600 () (not @t484)) % 237.25/237.57 (define @t601 () (not @t489)) % 237.25/237.57 (define @t602 () (and @t489 @t596 @t484)) % 237.25/237.57 (define @t603 () (@var "BOUND_VARIABLE_9723" $$unsorted)) % 237.25/237.57 (define @t604 () (@var "BOUND_VARIABLE_9721" $$unsorted)) % 237.25/237.57 (define @t605 () (= (tptp.memberP (tptp.cons @t604 @t603) @t2) (or (= @t2 @t604) (tptp.memberP @t603 @t2)))) % 237.25/237.57 (define @t606 () (not (tptp.ssList @t603))) % 237.25/237.57 (define @t607 () (not (tptp.ssItem @t604))) % 237.25/237.57 (define @t608 () (or @t170 @t607 @t606 @t605)) % 237.25/237.57 (define @t609 () (or @t607 @t606 @t605)) % 237.25/237.57 (define @t610 () (or @t170 @t609)) % 237.25/237.57 (define @t611 () (@list @t2 @t604 @t603)) % 237.25/237.57 (define @t612 () (forall @t611 @t610)) % 237.25/237.57 (define @t613 () (@list @t604 @t603)) % 237.25/237.57 (define @t614 () (forall @t613 @t610)) % 237.25/237.57 (define @t615 () (forall @t613 @t609)) % 237.25/237.57 (define @t616 () (@var "BOUND_VARIABLE_9702" $$unsorted)) % 237.25/237.57 (define @t617 () (or @t170 @t615)) % 237.25/237.57 (define @t618 () (= (tptp.memberP (tptp.cons @t1 @t616) @t2) (or @t3 (tptp.memberP @t616 @t2)))) % 237.25/237.57 (define @t619 () (not (tptp.ssList @t616))) % 237.25/237.57 (define @t620 () (or @t234 @t619 @t618)) % 237.25/237.57 (define @t621 () (@list @t1 @t616)) % 237.25/237.57 (define @t622 () (forall @t621 @t620)) % 237.25/237.57 (define @t623 () (or @t619 @t618)) % 237.25/237.57 (define @t624 () (or @t234 @t623)) % 237.25/237.57 (define @t625 () (forall @t621 @t624)) % 237.25/237.57 (define @t626 () (@list @t616)) % 237.25/237.57 (define @t627 () (forall @t626 @t624)) % 237.25/237.57 (define @t628 () (forall @t626 @t623)) % 237.25/237.57 (define @t629 () (or @t234 @t628)) % 237.25/237.57 (define @t630 () (forall @t20 (or @t193 @t95))) % 237.25/237.57 (define @t631 () (tptp.memberP @t422 @t218)) % 237.25/237.57 (define @t632 () (tptp.memberP @t236 @t218)) % 237.25/237.57 (define @t633 () (or (= @t218 @t218) @t632)) % 237.25/237.57 (define @t634 () (= @t631 @t633)) % 237.25/237.57 (define @t635 () (or @t403 @t403 @t424 @t634)) % 237.25/237.57 (define @t636 () (forall @t611 @t608)) % 237.25/237.57 (define @t637 () (or @t403 @t403 @t424 @t631)) % 237.25/237.57 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 237.25/237.57 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 237.25/237.57 (assume @p3 @t28) % 237.25/237.57 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 237.25/237.57 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 237.25/237.57 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 237.25/237.57 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 237.25/237.57 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not (and @t37 @t36))))))))))))))))) % 237.25/237.57 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t37 @t36)))))))))))))))) % 237.25/237.57 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t46 (tptp.lt @t12 @t1))))))))))))))))) % 237.25/237.57 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t37))))))))))))))) % 237.25/237.57 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t46))))))))))))))) % 237.25/237.57 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not @t47)))))))))))))))) % 237.25/237.57 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t47))))))))))))) % 237.25/237.57 (assume @p15 (forall @t9 (=> @t26 (forall @t7 (=> @t32 @t5))))) % 237.25/237.57 (assume @p16 @t52) % 237.25/237.57 (assume @p17 @t53) % 237.25/237.57 (assume @p18 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= @t48 @t2))))))) % 237.25/237.57 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t54))))))))))) % 237.25/237.57 (assume @p20 (forall @t9 (=> @t26 (or @t56 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t55 @t2))))))))) % 237.25/237.57 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t48))))))) % 237.25/237.57 (assume @p22 (forall @t9 (=> @t26 (=> @t58 (tptp.ssItem @t57))))) % 237.25/237.57 (assume @p23 @t63) % 237.25/237.57 (assume @p24 (forall @t9 (=> @t26 (=> @t58 (tptp.ssList @t64))))) % 237.25/237.57 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t48) @t2)))))) % 237.25/237.57 (assume @p26 @t69) % 237.25/237.57 (assume @p27 @t76) % 237.25/237.57 (assume @p28 @t79) % 237.25/237.57 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t81 @t80) @t3)))))) % 237.25/237.57 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t81 @t37) (tptp.leq @t2 @t12))))))))) % 237.25/237.57 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 237.25/237.57 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t82 @t80)))))) % 237.25/237.57 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (not @t83))))))) % 237.25/237.57 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t84 @t46) @t85)))))))) % 237.25/237.57 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t86 @t83)))))) % 237.25/237.57 (assume @p36 @t94) % 237.25/237.57 (assume @p37 @t100) % 237.25/237.57 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 237.25/237.57 (assume @p39 (not (tptp.singletonP tptp.nil))) % 237.25/237.57 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 237.25/237.57 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 237.25/237.57 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 237.25/237.57 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 237.25/237.57 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 237.25/237.57 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 237.25/237.57 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t56)))) % 237.25/237.57 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 237.25/237.57 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 237.25/237.57 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 237.25/237.57 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t101 @t1))))))))) % 237.25/237.57 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 237.25/237.57 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t56)))) % 237.25/237.57 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 237.25/237.57 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 (tptp.segmentP @t1 @t2)) @t3)))))) % 237.25/237.57 (assume @p55 (forall @t9 (=> @t26 (tptp.segmentP @t2 @t2)))) % 237.25/237.57 (assume @p56 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (=> @t35 (tptp.segmentP (tptp.app @t101 @t10) @t1))))))))))) % 237.25/237.57 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 237.25/237.57 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t56)))) % 237.25/237.57 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t102)))) % 237.25/237.57 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 237.25/237.57 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t102)))) % 237.25/237.57 (assume @p62 (tptp.totalorderP tptp.nil)) % 237.25/237.57 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t102)))) % 237.25/237.57 (assume @p64 (tptp.strictorderP tptp.nil)) % 237.25/237.57 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t102)))) % 237.25/237.57 (assume @p66 (tptp.totalorderedP tptp.nil)) % 237.25/237.57 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t106) (or @t104 (and @t105 (tptp.totalorderedP @t1) (tptp.leq @t2 @t103))))))))) % 237.25/237.57 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t102)))) % 237.25/237.57 (assume @p69 (tptp.strictorderedP tptp.nil)) % 237.25/237.57 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t106) (or @t104 (and @t105 (tptp.strictorderedP @t1) (tptp.lt @t2 @t103))))))))) % 237.25/237.57 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t102)))) % 237.25/237.57 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 237.25/237.57 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t102)))) % 237.25/237.57 (assume @p74 (tptp.equalelemsP tptp.nil)) % 237.25/237.57 (assume @p75 (forall @t9 (=> @t26 (=> @t58 (exists @t7 (and @t6 (= @t57 @t1))))))) % 237.25/237.57 (assume @p76 (forall @t9 (=> @t26 (=> @t58 (exists @t7 (and @t32 (= @t64 @t1))))))) % 237.25/237.57 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t105 @t58 (= @t103 @t57) (= (tptp.tl @t1) @t64)) @t54)))))) % 237.25/237.57 (assume @p78 (forall @t9 (=> @t26 (=> @t58 (= (tptp.cons @t57 @t64) @t2))))) % 237.25/237.57 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t65) @t107)))))))) % 237.25/237.57 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t70) @t107)))))))) % 237.25/237.57 (assume @p81 @t111) % 237.25/237.57 (assume @p82 @t117) % 237.25/237.57 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t65) (and @t104 @t56))))))) % 237.25/237.57 (assume @p84 (forall @t9 (=> @t26 (= (tptp.app @t2 tptp.nil) @t2)))) % 237.25/237.57 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t58 (= (tptp.hd @t65) @t57))))))) % 237.25/237.57 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t58 (= (tptp.tl @t65) (tptp.app @t64 @t1)))))))) % 237.25/237.57 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t82 (tptp.geq @t1 @t2)) @t3)))))) % 237.25/237.57 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t82 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 237.25/237.57 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 237.25/237.57 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 237.25/237.57 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t81 @t46) @t85)))))))) % 237.25/237.57 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (or @t3 @t84))))))) % 237.25/237.57 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t84 (and @t4 @t81))))))) % 237.25/237.57 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t86 (not (tptp.gt @t1 @t2)))))))) % 237.25/237.57 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t86 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 237.25/237.57 (assume @p96 @t164) % 237.25/237.57 (assume @p97 true) % 237.25/237.57 (step @p98 :rule aci_norm :args ((= @t172 (or @t170 @t169 @t168 @t167)))) % 237.25/237.57 (step @p99 :rule cong :premises (@p98) :args (@t173)) % 237.25/237.57 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t175) @t173))) % 237.25/237.57 (step @p101 :rule alpha_equiv :args (@t176 (@list @t166 @t165) (@list @t1 @t177))) % 237.25/237.57 (step @p102 :rule refl :args (@t170)) % 237.25/237.57 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t178)) % 237.25/237.57 (step @p104 :rule quant-miniscope-or :args ((= @t175 @t178))) % 237.25/237.57 (step @p105 :rule trans :premises (@p104 @p103)) % 237.25/237.57 (step @p106 :rule symm :premises (@p105)) % 237.25/237.57 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t170 @t184)))) % 237.25/237.57 (step @p108 :rule trans :premises (@p107 @p100)) % 237.25/237.57 (step @p109 :rule trans :premises (@p108 @p99)) % 237.25/237.57 (step @p110 :rule bool-impl-elim :args (@t8 @t184)) % 237.25/237.57 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t8 @t184)))) % 237.25/237.57 (step @p112 :rule trans :premises (@p111 @p109)) % 237.25/237.57 (step @p113 :rule aci_norm :args ((= @t186 @t182))) % 237.25/237.57 (step @p114 :rule cong :premises (@p113) :args (@t187)) % 237.25/237.57 (step @p115 :rule quant-merge-prenex :args ((= (forall @t7 @t189) @t187))) % 237.25/237.57 (step @p116 :rule alpha_equiv :args (@t190 (@list @t177) @t191)) % 237.25/237.57 (step @p117 :rule refl :args (@t181)) % 237.25/237.57 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t192)) % 237.25/237.57 (step @p119 :rule quant-miniscope-or :args ((= @t189 @t192))) % 237.25/237.57 (step @p120 :rule trans :premises (@p119 @p118)) % 237.25/237.57 (step @p121 :rule symm :premises (@p120)) % 237.25/237.57 (step @p122 :rule cong :premises (@p121) :args ((forall @t7 (or @t181 @t194)))) % 237.25/237.57 (step @p123 :rule trans :premises (@p122 @p115)) % 237.25/237.57 (step @p124 :rule trans :premises (@p123 @p114)) % 237.25/237.57 (step @p125 :rule bool-impl-elim :args (@t32 @t194)) % 237.25/237.57 (step @p126 :rule cong :premises (@p125) :args ((forall @t7 (=> @t32 @t194)))) % 237.25/237.57 (step @p127 :rule trans :premises (@p126 @p124)) % 237.25/237.57 (step @p128 :rule bool-impl-elim :args (@t18 @t89)) % 237.25/237.57 (step @p129 :rule cong :premises (@p128) :args (@t90)) % 237.25/237.57 (step @p130 :rule refl :args (@t32)) % 237.25/237.57 (step @p131 :rule cong :premises (@p130 @p129) :args (@t91)) % 237.25/237.57 (step @p132 :rule cong :premises (@p131) :args (@t92)) % 237.25/237.57 (step @p133 :rule trans :premises (@p132 @p127)) % 237.25/237.57 (step @p134 :rule refl :args (@t8)) % 237.25/237.57 (step @p135 :rule cong :premises (@p134 @p133) :args (@t93)) % 237.25/237.57 (step @p136 :rule cong :premises (@p135) :args (@t94)) % 237.25/237.57 (step @p137 :rule trans :premises (@p136 @p112)) % 237.25/237.57 (step @p138 :rule eq_resolve :premises (@p36 @p137)) % 237.25/237.57 (step @p139 :rule instantiate :premises (@p138) :args ((@list @t218 @t221 @t220))) % 237.25/237.57 (step @p140 :rule aci_norm :args ((= @t227 (or @t225 @t224 @t223)))) % 237.25/237.57 (step @p141 :rule cong :premises (@p140) :args (@t228)) % 237.25/237.57 (step @p142 :rule quant-merge-prenex :args ((= (forall @t9 @t230) @t228))) % 237.25/237.57 (step @p143 :rule alpha_equiv :args (@t231 (@list @t222) @t232)) % 237.25/237.57 (step @p144 :rule refl :args (@t225)) % 237.25/237.57 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t233)) % 237.25/237.57 (step @p146 :rule quant-miniscope-or :args ((= @t230 @t233))) % 237.25/237.57 (step @p147 :rule trans :premises (@p146 @p145)) % 237.25/237.57 (step @p148 :rule symm :premises (@p147)) % 237.25/237.57 (step @p149 :rule cong :premises (@p148) :args ((forall @t9 (or @t225 @t235)))) % 237.25/237.57 (step @p150 :rule trans :premises (@p149 @p142)) % 237.25/237.57 (step @p151 :rule trans :premises (@p150 @p141)) % 237.25/237.57 (step @p152 :rule bool-impl-elim :args (@t26 @t235)) % 237.25/237.57 (step @p153 :rule cong :premises (@p152) :args ((forall @t9 (=> @t26 @t235)))) % 237.25/237.57 (step @p154 :rule trans :premises (@p153 @p151)) % 237.25/237.57 (step @p155 :rule bool-impl-elim :args (@t6 @t49)) % 237.25/237.57 (step @p156 :rule cong :premises (@p155) :args (@t50)) % 237.25/237.57 (step @p157 :rule refl :args (@t26)) % 237.25/237.57 (step @p158 :rule cong :premises (@p157 @p156) :args (@t51)) % 237.25/237.57 (step @p159 :rule cong :premises (@p158) :args (@t52)) % 237.25/237.57 (step @p160 :rule trans :premises (@p159 @p154)) % 237.25/237.57 (step @p161 :rule eq_resolve :premises (@p16 @p160)) % 237.25/237.57 (step @p162 :rule instantiate :premises (@p161) :args ((@list @t236 @t218))) % 237.25/237.57 (step @p163 :rule aci_norm :args ((= @t241 (or @t225 @t239 @t238)))) % 237.25/237.57 (step @p164 :rule cong :premises (@p163) :args (@t242)) % 237.25/237.57 (step @p165 :rule quant-merge-prenex :args ((= (forall @t9 @t244) @t242))) % 237.25/237.57 (step @p166 :rule alpha_equiv :args (@t245 (@list @t237) @t232)) % 237.25/237.57 (step @p167 :rule nary_cong :premises (@p144 @p166) :args (@t246)) % 237.25/237.57 (step @p168 :rule quant-miniscope-or :args ((= @t244 @t246))) % 237.25/237.57 (step @p169 :rule trans :premises (@p168 @p167)) % 237.25/237.57 (step @p170 :rule symm :premises (@p169)) % 237.25/237.57 (step @p171 :rule cong :premises (@p170) :args ((forall @t9 (or @t225 @t247)))) % 237.25/237.57 (step @p172 :rule trans :premises (@p171 @p165)) % 237.25/237.57 (step @p173 :rule trans :premises (@p172 @p164)) % 237.25/237.57 (step @p174 :rule bool-impl-elim :args (@t26 @t247)) % 237.25/237.57 (step @p175 :rule cong :premises (@p174) :args ((forall @t9 (=> @t26 @t247)))) % 237.25/237.57 (step @p176 :rule trans :premises (@p175 @p173)) % 237.25/237.57 (step @p177 :rule bool-impl-elim :args (@t32 @t66)) % 237.25/237.57 (step @p178 :rule cong :premises (@p177) :args (@t67)) % 237.25/237.57 (step @p179 :rule cong :premises (@p157 @p178) :args (@t68)) % 237.25/237.57 (step @p180 :rule cong :premises (@p179) :args (@t69)) % 237.25/237.57 (step @p181 :rule trans :premises (@p180 @p176)) % 237.25/237.57 (step @p182 :rule eq_resolve :premises (@p26 @p181)) % 237.25/237.57 (step @p183 :rule instantiate :premises (@p182) :args ((@list @t216 @t214))) % 237.25/237.57 (step @p184 :rule instantiate :premises (@p161) :args ((@list tptp.nil @t215))) % 237.25/237.57 (step @p185 :rule aci_norm :args ((= (or @t210 @t209 @t208 @t207 @t206 @t205 false @t204 @t203) @t211))) % 237.25/237.57 (step @p186 :rule refl :args (@t203)) % 237.25/237.57 (step @p187 :rule refl :args (@t204)) % 237.25/237.57 (step @p188 :rule evaluate :args ((not true))) % 237.25/237.57 (step @p189 :rule eq-refl :args (@t199)) % 237.25/237.57 (step @p190 :rule cong :premises (@p189) :args (@t248)) % 237.25/237.57 (step @p191 :rule trans :premises (@p190 @p188)) % 237.25/237.57 (step @p192 :rule refl :args (@t205)) % 237.25/237.57 (step @p193 :rule refl :args (@t206)) % 237.25/237.57 (step @p194 :rule refl :args (@t207)) % 237.25/237.57 (step @p195 :rule refl :args (@t208)) % 237.25/237.57 (step @p196 :rule refl :args (@t209)) % 237.25/237.57 (step @p197 :rule refl :args (@t210)) % 237.25/237.57 (step @p198 :rule nary_cong :premises (@p197 @p196 @p195 @p194 @p193 @p192 @p191 @p187 @p186) :args (@t249)) % 237.25/237.57 (step @p199 :rule trans :premises (@p198 @p185)) % 237.25/237.57 (step @p200 :rule cong :premises (@p199) :args ((forall @t212 @t249))) % 237.25/237.57 (step @p201 :rule quant-var-elim-eq :args ((= (forall @t9 @t253) @t249))) % 237.25/237.57 (step @p202 :rule aci_norm :args ((= @t254 @t253))) % 237.25/237.57 (step @p203 :rule cong :premises (@p202) :args (@t255)) % 237.25/237.57 (step @p204 :rule trans :premises (@p203 @p201)) % 237.25/237.57 (step @p205 :rule cong :premises (@p204) :args (@t256)) % 237.25/237.57 (step @p206 :rule quant-merge-prenex :args ((= @t256 @t257))) % 237.25/237.57 (step @p207 :rule symm :premises (@p206)) % 237.25/237.57 (step @p208 :rule quant_var_reordering :args ((= (forall @t258 @t254) @t257))) % 237.25/237.57 (step @p209 :rule trans :premises (@p208 @p207 @p205)) % 237.25/237.57 (step @p210 :rule trans :premises (@p209 @p200)) % 237.25/237.57 (step @p211 :rule aci_norm :args ((= @t261 @t254))) % 237.25/237.57 (step @p212 :rule cong :premises (@p211) :args (@t262)) % 237.25/237.57 (step @p213 :rule trans :premises (@p212 @p210)) % 237.25/237.57 (step @p214 :rule quant-merge-prenex :args ((= (forall @t9 @t263) @t262))) % 237.25/237.57 (step @p215 :rule alpha_equiv :args (@t264 (@list @t200) @t266)) % 237.25/237.57 (step @p216 :rule alpha_equiv :args (@t267 (@list @t197 @t196 @t198 @t195) (@list @t39 @t270 @t269 @t268))) % 237.25/237.57 (step @p217 :rule nary_cong :premises (@p144 @p216 @p215) :args (@t271)) % 237.25/237.57 (step @p218 :rule quant-miniscope-or :args ((= @t263 @t271))) % 237.25/237.57 (step @p219 :rule trans :premises (@p218 @p217)) % 237.25/237.57 (step @p220 :rule symm :premises (@p219)) % 237.25/237.57 (step @p221 :rule cong :premises (@p220) :args (@t288)) % 237.25/237.57 (step @p222 :rule trans :premises (@p221 @p214)) % 237.25/237.57 (step @p223 :rule trans :premises (@p222 @p213)) % 237.25/237.57 (step @p224 :rule refl :args (@t289)) % 237.25/237.57 (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t290)) % 237.25/237.57 (step @p226 :rule quant-miniscope-or :args ((= (forall @t9 @t291) @t290))) % 237.25/237.57 (step @p227 :rule aci_norm :args ((= @t292 @t291))) % 237.25/237.57 (step @p228 :rule cong :premises (@p227) :args ((forall @t9 @t292))) % 237.25/237.57 (step @p229 :rule trans :premises (@p228 @p226)) % 237.25/237.57 (step @p230 :rule trans :premises (@p229 @p225)) % 237.25/237.57 (step @p231 :rule aci_norm :args ((= (or @t225 @t293) @t292))) % 237.25/237.57 (step @p232 :rule bool-impl-elim :args (@t26 @t293)) % 237.25/237.57 (step @p233 :rule trans :premises (@p232 @p231)) % 237.25/237.57 (step @p234 :rule cong :premises (@p233) :args ((forall @t9 (=> @t26 @t293)))) % 237.25/237.57 (step @p235 :rule trans :premises (@p234 @p230)) % 237.25/237.57 (step @p236 :rule quant-miniscope-or :args ((= (forall @t7 @t294) @t293))) % 237.25/237.57 (step @p237 :rule aci_norm :args ((= @t295 @t294))) % 237.25/237.57 (step @p238 :rule cong :premises (@p237) :args ((forall @t7 @t295))) % 237.25/237.57 (step @p239 :rule trans :premises (@p238 @p236)) % 237.25/237.57 (step @p240 :rule aci_norm :args ((= (or @t181 @t296) @t295))) % 237.25/237.57 (step @p241 :rule bool-impl-elim :args (@t32 @t296)) % 237.25/237.57 (step @p242 :rule trans :premises (@p241 @p240)) % 237.25/237.57 (step @p243 :rule cong :premises (@p242) :args ((forall @t7 (=> @t32 @t296)))) % 237.25/237.57 (step @p244 :rule trans :premises (@p243 @p239)) % 237.25/237.57 (step @p245 :rule aci_norm :args ((= (or @t286 @t181 @t297) @t296))) % 237.25/237.57 (step @p246 :rule quant-miniscope-or :args ((= (forall @t276 @t298) @t297))) % 237.25/237.57 (step @p247 :rule aci_norm :args ((= 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:premises (@p130 @p720) :args (@t73)) % 237.25/237.58 (step @p722 :rule cong :premises (@p721) :args (@t74)) % 237.25/237.58 (step @p723 :rule trans :premises (@p722 @p718)) % 237.25/237.58 (step @p724 :rule cong :premises (@p157 @p723) :args (@t75)) % 237.25/237.58 (step @p725 :rule cong :premises (@p724) :args (@t76)) % 237.25/237.58 (step @p726 :rule trans :premises (@p725 @p704)) % 237.25/237.58 (step @p727 :rule eq_resolve :premises (@p27 @p726)) % 237.25/237.58 (step @p728 :rule eq-symm :args (@t533 @t217)) % 237.25/237.58 (step @p729 :rule refl :args (@t401)) % 237.25/237.58 (step @p730 :rule refl :args (@t410)) % 237.25/237.58 (step @p731 :rule refl :args (@t397)) % 237.25/237.58 (step @p732 :rule nary_cong :premises (@p731 @p730 @p729 @p728) :args (@t562)) % 237.25/237.58 (step @p733 :rule refl :args (@t563)) % 237.25/237.58 (step @p734 :rule cong :premises (@p733 @p732) :args ((=> @t563 @t562))) % 237.25/237.58 (assume-push @p948 @t563) % 237.25/237.58 (step @p736 :rule instantiate :premises (@p727) :args ((@list @t214 tptp.nil @t215))) % 237.25/237.58 (step-pop @p949 :rule scope :premises (@p736)) % 237.25/237.58 (step @p737 :rule process_scope :premises (@p949) :args (@t562)) % 237.25/237.58 (step @p739 :rule eq_resolve :premises (@p737 @p734)) % 237.25/237.58 (step @p740 :rule implies_elim :premises (@p739)) % 237.25/237.58 (step @p741 :rule chain_m_resolution :premises (@p740 @p727) :args (@t565 @t444 (@list @t563))) % 237.25/237.58 (step @p742 :rule cnf_or_pos :args (@t565)) % 237.25/237.58 (step @p743 :rule reordering :premises (@p742) :args ((or @t410 @t401 @t397 @t564 (not @t565)))) % 237.25/237.58 (step @p744 :rule chain_m_resolution :premises (@p743 @p17 @p464 @p473 @p741) :args (@t564 @t453 (@list @t53 @t390 @t396 @t565))) % 237.25/237.58 (step @p745 :rule trans :premises (@p744 @p690)) % 237.25/237.58 (step @p746 :rule refl :args (@t391)) % 237.25/237.58 (step @p747 :rule cong :premises (@p746 @p745) :args (@t483)) % 237.25/237.58 (step @p748 :rule trans :premises (@p606 @p747)) % 237.25/237.58 (step @p749 :rule cnf_or_pos :args (@t568)) % 237.25/237.58 (step @p750 :rule reordering :premises (@p749) :args ((or @t397 @t490 @t567 @t569))) % 237.25/237.58 (step @p751 :rule chain_m_resolution :premises (@p750 @p473 @p603 @p748) :args (@t569 @t412 (@list @t396 @t487 @t566))) % 237.25/237.58 (assume-push @p950 @t525) % 237.25/237.58 (step @p753 :rule instantiate :premises (@p950) :args ((@list @t391 @t214))) % 237.25/237.58 (step-pop @p951 :rule scope :premises (@p753)) % 237.25/237.58 (step @p754 :rule process_scope :premises (@p951) :args (@t568)) % 237.25/237.58 (step @p756 :rule implies_elim :premises (@p754)) % 237.25/237.58 (step @p757 :rule chain_m_resolution :premises (@p756 @p751) :args (@t526 @t407 (@list @t568))) % 237.25/237.58 (step @p758 :rule bool-double-not-elim :args (@t525)) % 237.25/237.58 (step @p759 :rule refl :args (@t527)) % 237.25/237.58 (step @p760 :rule refl :args (@t570)) % 237.25/237.58 (step @p761 :rule nary_cong :premises (@p760 @p759 @p758) :args ((or @t570 @t527 (not @t526)))) % 237.25/237.58 (step @p762 :rule cnf_equiv_pos2 :args (@t528)) % 237.25/237.58 (step @p763 :rule eq_resolve :premises (@p762 @p761)) % 237.25/237.58 (step @p764 :rule reordering :premises (@p763) :args ((or @t527 @t525 @t570))) % 237.25/237.58 (step @p765 :rule chain_m_resolution :premises (@p764 @p757 @p683) :args (@t527 (@list true false) (@list @t525 @t528))) % 237.25/237.58 (step @p766 :rule cnf_or_pos :args (@t573)) % 237.25/237.58 (step @p767 :rule reordering :premises (@p766) :args ((or @t401 @t572 @t571 (not @t573)))) % 237.25/237.58 (step @p768 :rule chain_m_resolution :premises (@p767 @p464 @p765 @p614) :args (@t572 @t412 (@list @t390 @t527 @t573))) % 237.25/237.58 (step @p769 :rule aci_norm :args ((= @t578 (or @t225 @t576 @t575)))) % 237.25/237.58 (step @p770 :rule cong :premises (@p769) :args (@t579)) % 237.25/237.58 (step @p771 :rule quant-merge-prenex :args ((= (forall @t9 @t581) @t579))) % 237.25/237.58 (step @p772 :rule alpha_equiv :args (@t582 (@list @t574) @t232)) % 237.25/237.58 (step @p773 :rule nary_cong :premises (@p144 @p772) :args (@t583)) % 237.25/237.58 (step @p774 :rule quant-miniscope-or :args ((= @t581 @t583))) % 237.25/237.58 (step @p775 :rule trans :premises (@p774 @p773)) % 237.25/237.58 (step @p776 :rule symm :premises (@p775)) % 237.25/237.58 (step @p777 :rule cong :premises (@p776) :args ((forall @t9 (or @t225 @t585)))) % 237.25/237.58 (step @p778 :rule trans :premises (@p777 @p771)) % 237.25/237.58 (step @p779 :rule trans :premises (@p778 @p770)) % 237.25/237.58 (step @p780 :rule bool-impl-elim :args (@t26 @t585)) % 237.25/237.58 (step @p781 :rule cong :premises (@p780) :args ((forall @t9 (=> @t26 @t585)))) % 237.25/237.58 (step @p782 :rule trans :premises (@p781 @p779)) % 237.25/237.58 (step @p783 :rule bool-impl-elim :args (@t6 @t584)) % 237.25/237.58 (step @p784 :rule cong :premises (@p783) :args ((forall @t7 (=> @t6 @t584)))) % 237.25/237.58 (step @p785 :rule eq-symm :args (@t59 @t1)) % 237.25/237.58 (step @p786 :rule cong :premises (@p666 @p785) :args (@t60)) % 237.25/237.58 (step @p787 :rule cong :premises (@p786) :args (@t61)) % 237.25/237.58 (step @p788 :rule trans :premises (@p787 @p784)) % 237.25/237.58 (step @p789 :rule cong :premises (@p157 @p788) :args (@t62)) % 237.25/237.58 (step @p790 :rule cong :premises (@p789) :args (@t63)) % 237.25/237.58 (step @p791 :rule trans :premises (@p790 @p782)) % 237.25/237.58 (step @p792 :rule eq_resolve :premises (@p23 @p791)) % 237.25/237.58 (step @p793 :rule instantiate :premises (@p792) :args (@t480)) % 237.25/237.58 (step @p794 :rule cnf_or_pos :args (@t587)) % 237.25/237.58 (step @p795 :rule reordering :premises (@p794) :args ((or @t410 @t403 @t586 (not @t587)))) % 237.25/237.58 (step @p796 :rule chain_m_resolution :premises (@p795 @p17 @p498 @p793) :args (@t586 @t412 (@list @t53 @t402 @t587))) % 237.25/237.58 (step @p797 :rule cnf_or_neg :args (@t406 3)) % 237.25/237.58 (step @p798 :rule chain_m_resolution :premises (@p797 @p457) :args (@t588 @t407 @t408)) % 237.25/237.58 (step @p799 :rule refl :args (@t589)) % 237.25/237.58 (step @p800 :rule refl :args (@t591)) % 237.25/237.58 (step @p801 :rule refl :args (@t592)) % 237.25/237.58 (step @p802 :rule bool-double-not-elim :args (@t400)) % 237.25/237.58 (step @p803 :rule nary_cong :premises (@p802 @p801 @p800 @p799) :args ((or (not @t588) @t592 @t591 @t589))) % 237.25/237.58 (assume-push @p952 @t586) % 237.25/237.58 (assume-push @p953 @t590) % 237.25/237.58 (assume-push @p954 @t572) % 237.25/237.58 (assume-push @p955 @t588) % 237.25/237.58 (step @p808 :rule evaluate :args ((= false true))) % 237.25/237.58 (step @p809 :rule symm :premises (@p953)) % 237.25/237.58 (step @p810 :rule trans :premises (@p954 @p809 @p796)) % 237.25/237.58 (step @p811 :rule symm :premises (@p810)) % 237.25/237.58 (step @p812 :rule trans :premises (@p796 @p811)) % 237.25/237.58 (step @p813 :rule true_intro :premises (@p812)) % 237.25/237.58 (step @p814 :rule false_intro :premises (@p798)) % 237.25/237.58 (step @p815 :rule symm :premises (@p814)) % 237.25/237.58 (step @p816 :rule trans :premises (@p815 @p813)) % 237.25/237.58 (step @p817 false :rule eq_resolve :premises (@p816 @p808)) % 237.25/237.58 (step-pop @p956 :rule scope :premises (@p817)) % 237.25/237.58 (step-pop @p957 :rule scope :premises (@p956)) % 237.25/237.58 (step-pop @p958 :rule scope :premises (@p957)) % 237.25/237.58 (step-pop @p959 :rule scope :premises (@p958)) % 237.25/237.58 (step @p818 :rule process_scope :premises (@p959) :args (false)) % 237.25/237.58 (assume-push @p960 @t588) % 237.25/237.58 (assume-push @p961 @t586) % 237.25/237.58 (assume-push @p962 @t590) % 237.25/237.58 (assume-push @p963 @t572) % 237.25/237.58 (step @p827 :rule and_intro :premises (@p796 @p962 @p963 @p798)) % 237.25/237.58 (step-pop @p964 :rule scope :premises (@p827)) % 237.25/237.58 (step-pop @p965 :rule scope :premises (@p964)) % 237.25/237.58 (step-pop @p966 :rule scope :premises (@p965)) % 237.25/237.58 (step-pop @p967 :rule scope :premises (@p966)) % 237.25/237.58 (step @p828 :rule process_scope :premises (@p967) :args (@t593)) % 237.25/237.58 (step @p833 :rule implies_elim :premises (@p828)) % 237.25/237.58 (step @p834 :rule resolution :premises (@p833 @p818) :args (true @t593)) % 237.25/237.58 (step @p835 :rule not_and :premises (@p834)) % 237.25/237.58 (step @p836 :rule eq_resolve :premises (@p835 @p803)) % 237.25/237.58 (step @p837 :rule chain_m_resolution :premises (@p836 @p798 @p796 @p768) :args (@t591 @t594 (@list @t400 @t586 @t572))) % 237.25/237.58 (step @p838 :rule cnf_or_pos :args (@t597)) % 237.25/237.58 (step @p839 :rule reordering :premises (@p838) :args ((or @t403 @t590 @t596 (not @t597)))) % 237.25/237.58 (step @p840 :rule chain_m_resolution :premises (@p839 @p498 @p837 @p613) :args (@t596 @t598 (@list @t402 @t590 @t597))) % 237.25/237.58 (step @p841 :rule refl :args (@t599)) % 237.25/237.58 (step @p842 :rule refl :args (@t600)) % 237.25/237.58 (step @p843 :rule bool-double-not-elim :args (@t595)) % 237.25/237.58 (step @p844 :rule refl :args (@t601)) % 237.25/237.58 (step @p845 :rule nary_cong :premises (@p844 @p843 @p842 @p841) :args ((or @t601 (not @t596) @t600 @t599))) % 237.25/237.58 (assume-push @p968 @t489) % 237.25/237.58 (assume-push @p969 @t596) % 237.25/237.58 (assume-push @p970 @t484) % 237.25/237.58 (assume-push @p971 @t596) % 237.25/237.58 (assume-push @p972 @t489) % 237.25/237.58 (assume-push @p973 @t484) % 237.25/237.58 (step @p852 :rule false_intro :premises (@p969)) % 237.25/237.58 (step @p853 :rule symm :premises (@p606)) % 237.25/237.58 (step @p854 :rule symm :premises (@p598)) % 237.25/237.58 (step @p855 :rule trans :premises (@p854 @p853)) % 237.25/237.58 (step @p856 :rule cong :premises (@p855 @p503) :args (@t449)) % 237.25/237.58 (step @p857 :rule trans :premises (@p856 @p852)) % 237.25/237.58 (step @p858 :rule false_elim :premises (@p857)) % 237.25/237.58 (step-pop @p974 :rule scope :premises (@p858)) % 237.25/237.58 (step-pop @p975 :rule scope :premises (@p974)) % 237.25/237.58 (step-pop @p976 :rule scope :premises (@p975)) % 237.25/237.58 (step @p859 :rule process_scope :premises (@p976) :args (@t599)) % 237.25/237.58 (step @p863 :rule and_intro :premises (@p969 @p606 @p598)) % 237.25/237.58 (step @p864 :rule modus_ponens :premises (@p863 @p859)) % 237.25/237.58 (step-pop @p977 :rule scope :premises (@p864)) % 237.25/237.58 (step-pop @p978 :rule scope :premises (@p977)) % 237.25/237.58 (step-pop @p979 :rule scope :premises (@p978)) % 237.25/237.58 (step @p865 :rule process_scope :premises (@p979) :args (@t599)) % 237.25/237.58 (step @p869 :rule implies_elim :premises (@p865)) % 237.25/237.58 (step @p870 :rule cnf_and_neg :args (@t602)) % 237.25/237.58 (step @p871 :rule resolution :premises (@p870 @p869) :args (true @t602)) % 237.25/237.58 (step @p872 :rule eq_resolve :premises (@p871 @p845)) % 237.25/237.58 (step @p873 :rule reordering :premises (@p872) :args ((or @t595 @t601 @t600 @t599))) % 237.25/237.58 (step @p874 :rule chain_m_resolution :premises (@p873 @p840 @p606 @p598) :args (@t599 @t594 (@list @t595 @t489 @t484))) % 237.25/237.58 (step @p875 :rule aci_norm :args ((= @t610 @t608))) % 237.25/237.58 (step @p876 :rule cong :premises (@p875) :args (@t612)) % 237.25/237.58 (step @p877 :rule quant-merge-prenex :args ((= (forall @t9 @t614) @t612))) % 237.25/237.58 (step @p878 :rule alpha_equiv :args (@t615 (@list @t604 @t603) (@list @t1 @t616))) % 237.25/237.58 (step @p879 :rule nary_cong :premises (@p102 @p878) :args (@t617)) % 237.25/237.58 (step @p880 :rule quant-miniscope-or :args ((= @t614 @t617))) % 237.25/237.58 (step @p881 :rule trans :premises (@p880 @p879)) % 237.25/237.58 (step @p882 :rule symm :premises (@p881)) % 237.25/237.58 (step @p883 :rule cong :premises (@p882) :args ((forall @t9 (or @t170 @t622)))) % 237.25/237.58 (step @p884 :rule trans :premises (@p883 @p877)) % 237.25/237.58 (step @p885 :rule trans :premises (@p884 @p876)) % 237.25/237.58 (step @p886 :rule bool-impl-elim :args (@t8 @t622)) % 237.25/237.58 (step @p887 :rule cong :premises (@p886) :args ((forall @t9 (=> @t8 @t622)))) % 237.25/237.58 (step @p888 :rule trans :premises (@p887 @p885)) % 237.25/237.58 (step @p889 :rule aci_norm :args ((= @t624 @t620))) % 237.25/237.58 (step @p890 :rule cong :premises (@p889) :args (@t625)) % 237.25/237.58 (step @p891 :rule quant-merge-prenex :args ((= (forall @t7 @t627) @t625))) % 237.25/237.58 (step @p892 :rule alpha_equiv :args (@t628 (@list @t616) @t191)) % 237.25/237.58 (step @p893 :rule refl :args (@t234)) % 237.25/237.58 (step @p894 :rule nary_cong :premises (@p893 @p892) :args (@t629)) % 237.25/237.58 (step @p895 :rule quant-miniscope-or :args ((= @t627 @t629))) % 237.25/237.58 (step @p896 :rule trans :premises (@p895 @p894)) % 237.25/237.58 (step @p897 :rule symm :premises (@p896)) % 237.25/237.58 (step @p898 :rule cong :premises (@p897) :args ((forall @t7 (or @t234 @t630)))) % 237.25/237.58 (step @p899 :rule trans :premises (@p898 @p891)) % 237.25/237.58 (step @p900 :rule trans :premises (@p899 @p890)) % 237.25/237.58 (step @p901 :rule bool-impl-elim :args (@t6 @t630)) % 237.25/237.58 (step @p902 :rule cong :premises (@p901) :args ((forall @t7 (=> @t6 @t630)))) % 237.25/237.58 (step @p903 :rule trans :premises (@p902 @p900)) % 237.25/237.58 (step @p904 :rule bool-impl-elim :args (@t18 @t95)) % 237.25/237.58 (step @p905 :rule cong :premises (@p904) :args (@t96)) % 237.25/237.58 (step @p906 :rule cong :premises (@p666 @p905) :args (@t97)) % 237.25/237.58 (step @p907 :rule cong :premises (@p906) :args (@t98)) % 237.25/237.58 (step @p908 :rule trans :premises (@p907 @p903)) % 237.25/237.58 (step @p909 :rule cong :premises (@p134 @p908) :args (@t99)) % 237.25/237.58 (step @p910 :rule cong :premises (@p909) :args (@t100)) % 237.25/237.58 (step @p911 :rule trans :premises (@p910 @p888)) % 237.25/237.58 (step @p912 :rule eq_resolve :premises (@p37 @p911)) % 237.25/237.58 (step @p913 :rule bool-eq-true :args (@t631)) % 237.25/237.58 (step @p914 :rule absorb :args ((= (or true @t632) true))) % 237.25/237.58 (step @p915 :rule refl :args (@t632)) % 237.25/237.58 (step @p916 :rule eq-refl :args (@t218)) % 237.25/237.58 (step @p917 :rule nary_cong :premises (@p916 @p915) :args (@t633)) % 237.25/237.58 (step @p918 :rule trans :premises (@p917 @p914)) % 237.25/237.58 (step @p919 :rule refl :args (@t631)) % 237.25/237.58 (step @p920 :rule cong :premises (@p919 @p918) :args (@t634)) % 237.25/237.58 (step @p921 :rule trans :premises (@p920 @p913)) % 237.25/237.58 (step @p922 :rule refl :args (@t424)) % 237.25/237.58 (step @p923 :rule nary_cong :premises (@p526 @p526 @p922 @p921) :args (@t635)) % 237.25/237.58 (step @p924 :rule refl :args (@t636)) % 237.25/237.58 (step @p925 :rule cong :premises (@p924 @p923) :args ((=> @t636 @t635))) % 237.25/237.58 (assume-push @p980 @t636) % 237.25/237.58 (step @p927 :rule instantiate :premises (@p912) :args ((@list @t218 @t218 @t236))) % 237.25/237.58 (step-pop @p981 :rule scope :premises (@p927)) % 237.25/237.58 (step @p928 :rule process_scope :premises (@p981) :args (@t635)) % 237.25/237.58 (step @p930 :rule eq_resolve :premises (@p928 @p925)) % 237.25/237.58 (step @p931 :rule implies_elim :premises (@p930)) % 237.25/237.58 (step @p932 :rule chain_m_resolution :premises (@p931 @p912) :args (@t637 @t444 (@list @t636))) % 237.25/237.58 (step @p933 :rule cnf_or_pos :args (@t637)) % 237.25/237.58 (step @p934 :rule factoring :premises (@p933)) % 237.25/237.58 (step @p935 :rule reordering :premises (@p934) :args ((or @t403 @t424 @t631 (not @t637)))) % 237.25/237.58 (step @p936 :rule chain_m_resolution :premises (@p935 @p498 @p492 @p932) :args (@t631 @t412 (@list @t402 @t421 @t637))) % 237.25/237.58 (step @p937 :rule true_intro :premises (@p936)) % 237.25/237.58 (step @p938 :rule cong :premises (@p541 @p503) :args (@t446)) % 237.25/237.58 (step @p939 :rule trans :premises (@p938 @p937)) % 237.25/237.58 (step @p940 :rule true_elim :premises (@p939)) % 237.25/237.58 (step @p941 :rule cnf_or_neg :args (@t447 1)) % 237.25/237.58 (step @p942 :rule chain_m_resolution :premises (@p941 @p940) :args (@t447 @t444 (@list @t446))) % 237.25/237.58 (step @p943 :rule cnf_equiv_pos2 :args (@t450)) % 237.25/237.58 (step @p944 :rule reordering :premises (@p943) :args ((or @t449 (not @t447) (not @t450)))) % 237.25/237.58 (step @p945 false :rule chain_m_resolution :premises (@p944 @p942 @p874 @p553) :args (false @t598 (@list @t447 @t449 @t450))) % 237.25/237.58 ) % 237.25/237.58 % SZS output end Proof % 237.25/237.58 % cvc5 exiting %------------------------------------------------------------------------------