%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC021+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 08:57:44 AM UTC 2026 % Result : Theorem 235.21s 235.56s % Output : Proof 235.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC021+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.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 19:10:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 235.21/235.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 235.21/235.56 --- Run --no-e-matching --full-saturate-quant at 6... % 235.21/235.56 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 235.21/235.56 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 235.21/235.56 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 235.21/235.56 --- Run --trigger-sel=max --full-saturate-quant at 15... % 235.21/235.56 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 235.21/235.56 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 235.21/235.56 --- Run --prenex-quant=none --full-saturate-quant at 30... % 235.21/235.56 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 235.21/235.56 --- Run --relevant-triggers --full-saturate-quant at 30... % 235.21/235.56 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 235.21/235.56 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 235.21/235.56 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 235.21/235.56 % SZS status Theorem % 235.21/235.56 % SZS output start Proof % 235.21/235.56 ( % 235.21/235.56 (declare-sort $$unsorted 0) % 235.21/235.56 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 235.21/235.56 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 235.21/235.56 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 235.21/235.56 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 235.21/235.56 (declare-const tptp.nil $$unsorted) % 235.21/235.56 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.ssList (-> $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 235.21/235.56 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 235.21/235.56 (define @t1 () (@var "V" $$unsorted)) % 235.21/235.56 (define @t2 () (@var "U" $$unsorted)) % 235.21/235.56 (define @t3 () (= @t2 @t1)) % 235.21/235.56 (define @t4 () (not @t3)) % 235.21/235.56 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 235.21/235.56 (define @t6 () (tptp.ssItem @t1)) % 235.21/235.56 (define @t7 () (@list @t1)) % 235.21/235.56 (define @t8 () (tptp.ssItem @t2)) % 235.21/235.56 (define @t9 () (@list @t2)) % 235.21/235.56 (define @t10 () (@var "X" $$unsorted)) % 235.21/235.56 (define @t11 () (tptp.cons @t1 @t10)) % 235.21/235.56 (define @t12 () (@var "W" $$unsorted)) % 235.21/235.56 (define @t13 () (tptp.ssList @t10)) % 235.21/235.56 (define @t14 () (@list @t10)) % 235.21/235.56 (define @t15 () (tptp.ssList @t12)) % 235.21/235.56 (define @t16 () (@list @t12)) % 235.21/235.56 (define @t17 () (tptp.ssList @t2)) % 235.21/235.56 (define @t18 () (tptp.cons @t1 tptp.nil)) % 235.21/235.56 (define @t19 () (and @t6 (= @t18 @t2))) % 235.21/235.56 (define @t20 () (exists @t7 @t19)) % 235.21/235.56 (define @t21 () (tptp.singletonP @t2)) % 235.21/235.56 (define @t22 () (= @t21 @t20)) % 235.21/235.56 (define @t23 () (=> @t17 @t22)) % 235.21/235.56 (define @t24 () (forall @t9 @t23)) % 235.21/235.56 (define @t25 () (tptp.app @t1 @t12)) % 235.21/235.56 (define @t26 () (tptp.frontsegP @t2 @t1)) % 235.21/235.56 (define @t27 () (tptp.ssList @t1)) % 235.21/235.56 (define @t28 () (tptp.app @t12 @t1)) % 235.21/235.56 (define @t29 () (tptp.rearsegP @t2 @t1)) % 235.21/235.56 (define @t30 () (tptp.segmentP @t2 @t1)) % 235.21/235.56 (define @t31 () (tptp.leq @t12 @t1)) % 235.21/235.56 (define @t32 () (tptp.leq @t1 @t12)) % 235.21/235.56 (define @t33 () (@var "Z" $$unsorted)) % 235.21/235.56 (define @t34 () (@var "Y" $$unsorted)) % 235.21/235.56 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 235.21/235.56 (define @t36 () (tptp.ssList @t33)) % 235.21/235.56 (define @t37 () (@list @t33)) % 235.21/235.56 (define @t38 () (tptp.ssList @t34)) % 235.21/235.56 (define @t39 () (@list @t34)) % 235.21/235.56 (define @t40 () (tptp.ssItem @t12)) % 235.21/235.56 (define @t41 () (tptp.lt @t1 @t12)) % 235.21/235.56 (define @t42 () (tptp.strictorderedP @t2)) % 235.21/235.56 (define @t43 () (= @t1 @t12)) % 235.21/235.56 (define @t44 () (forall @t7 (=> @t27 @t5))) % 235.21/235.56 (define @t45 () (=> @t17 @t44)) % 235.21/235.56 (define @t46 () (forall @t9 @t45)) % 235.21/235.56 (define @t47 () (tptp.cons @t1 @t2)) % 235.21/235.56 (define @t48 () (tptp.ssList @t47)) % 235.21/235.56 (define @t49 () (forall @t7 (=> @t6 @t48))) % 235.21/235.56 (define @t50 () (=> @t17 @t49)) % 235.21/235.56 (define @t51 () (forall @t9 @t50)) % 235.21/235.56 (define @t52 () (tptp.ssList tptp.nil)) % 235.21/235.56 (define @t53 () (= @t1 @t2)) % 235.21/235.56 (define @t54 () (tptp.cons @t12 @t1)) % 235.21/235.56 (define @t55 () (and @t40 (= @t54 @t2))) % 235.21/235.56 (define @t56 () (exists @t16 @t55)) % 235.21/235.56 (define @t57 () (and @t27 @t56)) % 235.21/235.56 (define @t58 () (exists @t7 @t57)) % 235.21/235.56 (define @t59 () (= tptp.nil @t2)) % 235.21/235.56 (define @t60 () (or @t59 @t58)) % 235.21/235.56 (define @t61 () (=> @t17 @t60)) % 235.21/235.56 (define @t62 () (forall @t9 @t61)) % 235.21/235.56 (define @t63 () (tptp.hd @t2)) % 235.21/235.56 (define @t64 () (tptp.ssItem @t63)) % 235.21/235.56 (define @t65 () (not @t59)) % 235.21/235.56 (define @t66 () (=> @t65 @t64)) % 235.21/235.56 (define @t67 () (=> @t17 @t66)) % 235.21/235.56 (define @t68 () (forall @t9 @t67)) % 235.21/235.56 (define @t69 () (tptp.tl @t2)) % 235.21/235.56 (define @t70 () (tptp.tl @t47)) % 235.21/235.56 (define @t71 () (=> @t6 (= @t70 @t2))) % 235.21/235.56 (define @t72 () (forall @t7 @t71)) % 235.21/235.56 (define @t73 () (=> @t17 @t72)) % 235.21/235.56 (define @t74 () (forall @t9 @t73)) % 235.21/235.56 (define @t75 () (tptp.app @t2 @t1)) % 235.21/235.56 (define @t76 () (tptp.app @t1 @t2)) % 235.21/235.56 (define @t77 () (= (tptp.cons @t12 @t76) (tptp.app @t54 @t2))) % 235.21/235.56 (define @t78 () (forall @t16 (=> @t40 @t77))) % 235.21/235.56 (define @t79 () (=> @t27 @t78)) % 235.21/235.56 (define @t80 () (forall @t7 @t79)) % 235.21/235.56 (define @t81 () (=> @t17 @t80)) % 235.21/235.56 (define @t82 () (forall @t9 @t81)) % 235.21/235.56 (define @t83 () (tptp.leq @t1 @t2)) % 235.21/235.56 (define @t84 () (tptp.leq @t2 @t1)) % 235.21/235.56 (define @t85 () (tptp.geq @t2 @t1)) % 235.21/235.56 (define @t86 () (tptp.lt @t1 @t2)) % 235.21/235.56 (define @t87 () (tptp.lt @t2 @t1)) % 235.21/235.56 (define @t88 () (tptp.lt @t2 @t12)) % 235.21/235.56 (define @t89 () (tptp.gt @t2 @t1)) % 235.21/235.56 (define @t90 () (tptp.memberP @t12 @t2)) % 235.21/235.56 (define @t91 () (tptp.singletonP tptp.nil)) % 235.21/235.56 (define @t92 () (not @t91)) % 235.21/235.56 (define @t93 () (tptp.frontsegP @t1 @t12)) % 235.21/235.56 (define @t94 () (tptp.frontsegP @t1 @t2)) % 235.21/235.56 (define @t95 () (tptp.frontsegP @t2 @t2)) % 235.21/235.56 (define @t96 () (forall @t9 (=> @t17 @t95))) % 235.21/235.56 (define @t97 () (tptp.cons @t2 @t12)) % 235.21/235.56 (define @t98 () (= (tptp.frontsegP @t97 @t11) (and @t3 (tptp.frontsegP @t12 @t10)))) % 235.21/235.56 (define @t99 () (forall @t14 (=> @t13 @t98))) % 235.21/235.56 (define @t100 () (=> @t15 @t99)) % 235.21/235.56 (define @t101 () (forall @t16 @t100)) % 235.21/235.56 (define @t102 () (=> @t6 @t101)) % 235.21/235.56 (define @t103 () (forall @t7 @t102)) % 235.21/235.56 (define @t104 () (=> @t8 @t103)) % 235.21/235.56 (define @t105 () (forall @t9 @t104)) % 235.21/235.56 (define @t106 () (tptp.frontsegP @t2 tptp.nil)) % 235.21/235.56 (define @t107 () (forall @t9 (=> @t17 @t106))) % 235.21/235.56 (define @t108 () (tptp.app @t12 @t2)) % 235.21/235.56 (define @t109 () (tptp.segmentP (tptp.app @t108 @t10) @t1)) % 235.21/235.56 (define @t110 () (=> @t30 @t109)) % 235.21/235.56 (define @t111 () (forall @t14 (=> @t13 @t110))) % 235.21/235.56 (define @t112 () (=> @t15 @t111)) % 235.21/235.56 (define @t113 () (forall @t16 @t112)) % 235.21/235.56 (define @t114 () (=> @t27 @t113)) % 235.21/235.56 (define @t115 () (forall @t7 @t114)) % 235.21/235.56 (define @t116 () (=> @t17 @t115)) % 235.21/235.56 (define @t117 () (forall @t9 @t116)) % 235.21/235.56 (define @t118 () (tptp.segmentP tptp.nil @t2)) % 235.21/235.56 (define @t119 () (=> @t17 (= @t118 @t59))) % 235.21/235.56 (define @t120 () (forall @t9 @t119)) % 235.21/235.56 (define @t121 () (tptp.cons @t2 tptp.nil)) % 235.21/235.56 (define @t122 () (tptp.hd @t1)) % 235.21/235.56 (define @t123 () (= tptp.nil @t1)) % 235.21/235.56 (define @t124 () (not @t123)) % 235.21/235.56 (define @t125 () (tptp.cons @t2 @t1)) % 235.21/235.56 (define @t126 () (tptp.strictorderedP @t121)) % 235.21/235.56 (define @t127 () (forall @t9 (=> @t8 @t126))) % 235.21/235.56 (define @t128 () (tptp.cons @t63 @t69)) % 235.21/235.56 (define @t129 () (=> @t65 (= @t128 @t2))) % 235.21/235.56 (define @t130 () (=> @t17 @t129)) % 235.21/235.56 (define @t131 () (forall @t9 @t130)) % 235.21/235.56 (define @t132 () (= @t12 @t2)) % 235.21/235.56 (define @t133 () (and @t123 @t59)) % 235.21/235.56 (define @t134 () (tptp.app @t2 tptp.nil)) % 235.21/235.56 (define @t135 () (=> @t17 (= @t134 @t2))) % 235.21/235.56 (define @t136 () (forall @t9 @t135)) % 235.21/235.56 (define @t137 () (tptp.strictorderedP @t33)) % 235.21/235.56 (define @t138 () (tptp.segmentP @t33 @t12)) % 235.21/235.56 (define @t139 () (tptp.frontsegP @t10 @t33)) % 235.21/235.56 (define @t140 () (tptp.neq @t12 @t33)) % 235.21/235.56 (define @t141 () (and @t36 @t140 @t139 @t138 @t137)) % 235.21/235.56 (define @t142 () (exists @t37 @t141)) % 235.21/235.56 (define @t143 () (tptp.frontsegP @t2 @t34)) % 235.21/235.56 (define @t144 () (tptp.frontsegP @t1 @t34)) % 235.21/235.56 (define @t145 () (tptp.neq @t34 tptp.nil)) % 235.21/235.56 (define @t146 () (and @t38 @t145 @t144 @t143)) % 235.21/235.56 (define @t147 () (exists @t39 @t146)) % 235.21/235.56 (define @t148 () (not (tptp.strictorderedP @t12))) % 235.21/235.56 (define @t149 () (not (tptp.frontsegP @t10 @t12))) % 235.21/235.56 (define @t150 () (not (= @t2 @t12))) % 235.21/235.56 (define @t151 () (not (= @t1 @t10))) % 235.21/235.56 (define @t152 () (or @t151 @t150 @t149 @t148 @t147 @t142 @t133)) % 235.21/235.56 (define @t153 () (=> @t13 @t152)) % 235.21/235.56 (define @t154 () (forall @t14 @t153)) % 235.21/235.56 (define @t155 () (=> @t15 @t154)) % 235.21/235.56 (define @t156 () (forall @t16 @t155)) % 235.21/235.56 (define @t157 () (=> @t27 @t156)) % 235.21/235.56 (define @t158 () (forall @t7 @t157)) % 235.21/235.56 (define @t159 () (=> @t17 @t158)) % 235.21/235.56 (define @t160 () (forall @t9 @t159)) % 235.21/235.56 (define @t161 () (not @t160)) % 235.21/235.56 (define @t162 () (= @t2 @t134)) % 235.21/235.56 (define @t163 () (not @t137)) % 235.21/235.56 (define @t164 () (not (tptp.segmentP @t33 @t2))) % 235.21/235.56 (define @t165 () (@var "BOUND_VARIABLE_10994" $$unsorted)) % 235.21/235.56 (define @t166 () (not (tptp.neq @t2 @t33))) % 235.21/235.56 (define @t167 () (not @t36)) % 235.21/235.56 (define @t168 () (not (forall @t37 (or @t167 @t166 (not (tptp.frontsegP @t165 @t33)) @t164 @t163)))) % 235.21/235.56 (define @t169 () (not (tptp.frontsegP @t165 @t2))) % 235.21/235.56 (define @t170 () (= @t2 tptp.nil)) % 235.21/235.56 (define @t171 () (not @t143)) % 235.21/235.56 (define @t172 () (not @t145)) % 235.21/235.56 (define @t173 () (not @t38)) % 235.21/235.56 (define @t174 () (not (forall @t39 (or @t173 @t172 (not (tptp.frontsegP @t165 @t34)) @t171)))) % 235.21/235.56 (define @t175 () (not (tptp.ssList @t165))) % 235.21/235.56 (define @t176 () (not @t42)) % 235.21/235.56 (define @t177 () (not @t17)) % 235.21/235.56 (define @t178 () (@list @t2 @t165)) % 235.21/235.56 (define @t179 () (forall @t178 (or @t177 @t176 @t175 @t174 (and (= tptp.nil @t165) @t170) @t169 @t168))) % 235.21/235.56 (define @t180 () (@quantifiers_skolemize @t179 0)) % 235.21/235.56 (define @t181 () (@list @t180)) % 235.21/235.56 (define @t182 () (and (= @t165 tptp.nil) @t170)) % 235.21/235.56 (define @t183 () (or @t177 @t176 @t175 @t174 @t182 @t169 @t168)) % 235.21/235.56 (define @t184 () (or @t175 @t174 @t182 @t169 @t168)) % 235.21/235.56 (define @t185 () (or @t177 @t176 @t184)) % 235.21/235.56 (define @t186 () (forall @t178 @t185)) % 235.21/235.56 (define @t187 () (@list @t165)) % 235.21/235.56 (define @t188 () (forall @t187 @t185)) % 235.21/235.56 (define @t189 () (forall @t187 @t184)) % 235.21/235.56 (define @t190 () (@list @t1)) % 235.21/235.56 (define @t191 () (or @t177 @t176 @t189)) % 235.21/235.56 (define @t192 () (not (tptp.frontsegP @t1 @t33))) % 235.21/235.56 (define @t193 () (not (forall @t37 (or @t167 @t166 @t192 @t164 @t163)))) % 235.21/235.56 (define @t194 () (not @t94)) % 235.21/235.56 (define @t195 () (and (= @t1 tptp.nil) @t170)) % 235.21/235.56 (define @t196 () (not @t144)) % 235.21/235.56 (define @t197 () (or @t173 @t172 @t196 @t171)) % 235.21/235.56 (define @t198 () (not (forall @t39 @t197))) % 235.21/235.56 (define @t199 () (not @t27)) % 235.21/235.56 (define @t200 () (or @t199 @t198 @t195 @t194 @t193)) % 235.21/235.56 (define @t201 () (or @t177 @t176 (forall @t7 @t200))) % 235.21/235.56 (define @t202 () (or @t177 @t176 @t200)) % 235.21/235.56 (define @t203 () (or @t199 @t198 @t195 @t177 @t176 @t194 @t193)) % 235.21/235.56 (define @t204 () (or @t198 @t195 @t199 @t177 @t176 @t194 @t193)) % 235.21/235.56 (define @t205 () (or @t177 @t176 @t194 @t193)) % 235.21/235.56 (define @t206 () (not (= @t2 @t2))) % 235.21/235.56 (define @t207 () (or @t177 @t206 @t176 @t194 @t193)) % 235.21/235.56 (define @t208 () (not @t138)) % 235.21/235.56 (define @t209 () (not @t140)) % 235.21/235.56 (define @t210 () (not (forall @t37 (or @t167 @t209 @t192 @t208 @t163)))) % 235.21/235.56 (define @t211 () (not @t93)) % 235.21/235.56 (define @t212 () (not @t15)) % 235.21/235.56 (define @t213 () (or @t150 @t212 @t150 @t148 @t211 @t210)) % 235.21/235.56 (define @t214 () (or @t212 @t150 @t148 @t211 @t210)) % 235.21/235.56 (define @t215 () (forall @t16 @t214)) % 235.21/235.56 (define @t216 () (or @t198 @t195 @t199 @t215)) % 235.21/235.56 (define @t217 () (or @t198 @t195 @t199 @t214)) % 235.21/235.56 (define @t218 () (or @t212 @t150 @t148 @t198 @t195 @t199 @t211 @t210)) % 235.21/235.56 (define @t219 () (or @t150 @t148 @t198 @t195 @t199 @t211 @t210)) % 235.21/235.56 (define @t220 () (or @t199 @t211 @t210)) % 235.21/235.56 (define @t221 () (not (= @t1 @t1))) % 235.21/235.56 (define @t222 () (or @t199 @t221 @t211 @t210)) % 235.21/235.56 (define @t223 () (not @t139)) % 235.21/235.56 (define @t224 () (or @t167 @t209 @t223 @t208 @t163)) % 235.21/235.56 (define @t225 () (not (forall @t37 @t224))) % 235.21/235.56 (define @t226 () (not @t13)) % 235.21/235.56 (define @t227 () (or @t151 @t226 @t151 @t149 @t225)) % 235.21/235.56 (define @t228 () (or @t226 @t151 @t149 @t225)) % 235.21/235.56 (define @t229 () (forall @t14 @t228)) % 235.21/235.56 (define @t230 () (or @t150 @t148 @t198 @t195 @t229)) % 235.21/235.56 (define @t231 () (or @t150 @t148 @t198 @t195 @t228)) % 235.21/235.56 (define @t232 () (or @t226 @t151 @t150 @t149 @t148 @t198 @t225 @t195)) % 235.21/235.56 (define @t233 () (or @t151 @t150 @t149 @t148 @t198 @t225 @t195)) % 235.21/235.56 (define @t234 () (forall @t37 (not @t141))) % 235.21/235.56 (define @t235 () (not @t234)) % 235.21/235.56 (define @t236 () (forall @t39 (not @t146))) % 235.21/235.56 (define @t237 () (not @t236)) % 235.21/235.56 (define @t238 () (@quantifiers_skolemize @t179 1)) % 235.21/235.56 (define @t239 () (forall @t37 (or @t167 (not (tptp.neq @t180 @t33)) (not (tptp.frontsegP @t238 @t33)) (not (tptp.segmentP @t33 @t180)) @t163))) % 235.21/235.56 (define @t240 () (not @t239)) % 235.21/235.56 (define @t241 () (tptp.frontsegP @t238 @t180)) % 235.21/235.56 (define @t242 () (not @t241)) % 235.21/235.56 (define @t243 () (= tptp.nil @t180)) % 235.21/235.56 (define @t244 () (= tptp.nil @t238)) % 235.21/235.56 (define @t245 () (and @t244 @t243)) % 235.21/235.56 (define @t246 () (forall @t39 (or @t173 @t172 (not (tptp.frontsegP @t238 @t34)) (not (tptp.frontsegP @t180 @t34))))) % 235.21/235.56 (define @t247 () (not @t246)) % 235.21/235.56 (define @t248 () (tptp.ssList @t238)) % 235.21/235.56 (define @t249 () (not @t248)) % 235.21/235.56 (define @t250 () (not (tptp.strictorderedP @t180))) % 235.21/235.56 (define @t251 () (tptp.ssList @t180)) % 235.21/235.56 (define @t252 () (not @t251)) % 235.21/235.56 (define @t253 () (or @t252 @t250 @t249 @t247 @t245 @t242 @t240)) % 235.21/235.56 (define @t254 () (not @t253)) % 235.21/235.56 (define @t255 () (not @t179)) % 235.21/235.56 (define @t256 () (= @t180 tptp.nil)) % 235.21/235.56 (define @t257 () (and @t244 @t256)) % 235.21/235.56 (define @t258 () (or @t252 @t250 @t249 @t247 @t257 @t242 @t240)) % 235.21/235.56 (define @t259 () (not @t258)) % 235.21/235.56 (define @t260 () (@list true)) % 235.21/235.56 (define @t261 () (@list @t253)) % 235.21/235.56 (define @t262 () (tptp.app @t180 tptp.nil)) % 235.21/235.56 (define @t263 () (= @t180 @t262)) % 235.21/235.56 (define @t264 () (or @t252 @t263)) % 235.21/235.56 (define @t265 () (@list false false)) % 235.21/235.56 (define @t266 () (@var "BOUND_VARIABLE_9102" $$unsorted)) % 235.21/235.56 (define @t267 () (= (tptp.neq @t2 @t266) (not (= @t2 @t266)))) % 235.21/235.56 (define @t268 () (not (tptp.ssList @t266))) % 235.21/235.56 (define @t269 () (or @t177 @t268 @t267)) % 235.21/235.56 (define @t270 () (or @t268 @t267)) % 235.21/235.56 (define @t271 () (or @t177 @t270)) % 235.21/235.56 (define @t272 () (@list @t2 @t266)) % 235.21/235.56 (define @t273 () (forall @t272 @t271)) % 235.21/235.56 (define @t274 () (@list @t266)) % 235.21/235.56 (define @t275 () (forall @t274 @t271)) % 235.21/235.56 (define @t276 () (forall @t274 @t270)) % 235.21/235.56 (define @t277 () (or @t177 @t276)) % 235.21/235.56 (define @t278 () (forall @t7 (or @t199 @t5))) % 235.21/235.56 (define @t279 () (tptp.neq @t180 tptp.nil)) % 235.21/235.56 (define @t280 () (not @t243)) % 235.21/235.56 (define @t281 () (not @t256)) % 235.21/235.56 (define @t282 () (= @t279 @t281)) % 235.21/235.56 (define @t283 () (not @t52)) % 235.21/235.56 (define @t284 () (or @t252 @t283 @t282)) % 235.21/235.56 (define @t285 () (forall @t272 @t269)) % 235.21/235.56 (define @t286 () (= @t280 @t279)) % 235.21/235.56 (define @t287 () (or @t252 @t283 @t286)) % 235.21/235.56 (define @t288 () (@list false)) % 235.21/235.56 (define @t289 () (@list @t285)) % 235.21/235.56 (define @t290 () (@list false false false)) % 235.21/235.56 (define @t291 () (tptp.frontsegP @t180 @t180)) % 235.21/235.56 (define @t292 () (or @t252 @t291)) % 235.21/235.56 (define @t293 () (not @t291)) % 235.21/235.56 (define @t294 () (not @t279)) % 235.21/235.56 (define @t295 () (or @t252 @t294 @t242 @t293)) % 235.21/235.56 (define @t296 () (@list false false false false)) % 235.21/235.56 (define @t297 () (not @t286)) % 235.21/235.56 (define @t298 () (@list true false)) % 235.21/235.56 (define @t299 () (@var "BOUND_VARIABLE_9404" $$unsorted)) % 235.21/235.56 (define @t300 () (@var "BOUND_VARIABLE_9406" $$unsorted)) % 235.21/235.56 (define @t301 () (= (tptp.cons @t300 (tptp.app @t299 @t2)) (tptp.app (tptp.cons @t300 @t299) @t2))) % 235.21/235.56 (define @t302 () (not (tptp.ssItem @t300))) % 235.21/235.56 (define @t303 () (not (tptp.ssList @t299))) % 235.21/235.56 (define @t304 () (or @t303 @t302 @t301)) % 235.21/235.56 (define @t305 () (or @t177 @t304)) % 235.21/235.56 (define @t306 () (forall (@list @t2 @t299 @t300) @t305)) % 235.21/235.56 (define @t307 () (@list @t299 @t300)) % 235.21/235.56 (define @t308 () (forall @t307 @t305)) % 235.21/235.56 (define @t309 () (forall @t307 @t304)) % 235.21/235.56 (define @t310 () (@var "BOUND_VARIABLE_9386" $$unsorted)) % 235.21/235.56 (define @t311 () (or @t177 @t309)) % 235.21/235.56 (define @t312 () (= (tptp.cons @t310 @t76) (tptp.app (tptp.cons @t310 @t1) @t2))) % 235.21/235.56 (define @t313 () (not (tptp.ssItem @t310))) % 235.21/235.56 (define @t314 () (or @t199 @t313 @t312)) % 235.21/235.56 (define @t315 () (@list @t1 @t310)) % 235.21/235.56 (define @t316 () (forall @t315 @t314)) % 235.21/235.56 (define @t317 () (or @t313 @t312)) % 235.21/235.56 (define @t318 () (or @t199 @t317)) % 235.21/235.56 (define @t319 () (forall @t315 @t318)) % 235.21/235.56 (define @t320 () (@list @t310)) % 235.21/235.56 (define @t321 () (forall @t320 @t318)) % 235.21/235.56 (define @t322 () (forall @t320 @t317)) % 235.21/235.56 (define @t323 () (@list @t12)) % 235.21/235.56 (define @t324 () (or @t199 @t322)) % 235.21/235.56 (define @t325 () (not @t40)) % 235.21/235.56 (define @t326 () (forall @t16 (or @t325 @t77))) % 235.21/235.56 (define @t327 () (tptp.hd @t238)) % 235.21/235.56 (define @t328 () (or @t177 @t170 @t64)) % 235.21/235.56 (define @t329 () (not @t170)) % 235.21/235.56 (define @t330 () (not @t329)) % 235.21/235.56 (define @t331 () (=> @t329 @t64)) % 235.21/235.56 (define @t332 () (tptp.ssItem @t327)) % 235.21/235.56 (define @t333 () (= @t238 tptp.nil)) % 235.21/235.56 (define @t334 () (or @t249 @t333 @t332)) % 235.21/235.56 (define @t335 () (forall @t9 @t328)) % 235.21/235.56 (define @t336 () (@list @t238)) % 235.21/235.56 (define @t337 () (or @t249 @t244 @t332)) % 235.21/235.56 (define @t338 () (@list false true false)) % 235.21/235.56 (define @t339 () (tptp.cons @t327 @t180)) % 235.21/235.56 (define @t340 () (tptp.app @t339 tptp.nil)) % 235.21/235.56 (define @t341 () (= (tptp.cons @t327 @t262) @t340)) % 235.21/235.56 (define @t342 () (not @t332)) % 235.21/235.56 (define @t343 () (or @t283 @t252 @t342 @t341)) % 235.21/235.56 (define @t344 () (tptp.cons @t327 tptp.nil)) % 235.21/235.56 (define @t345 () (@var "BOUND_VARIABLE_9901" $$unsorted)) % 235.21/235.56 (define @t346 () (@var "BOUND_VARIABLE_9899" $$unsorted)) % 235.21/235.56 (define @t347 () (@var "BOUND_VARIABLE_9897" $$unsorted)) % 235.21/235.56 (define @t348 () (= (tptp.frontsegP (tptp.cons @t2 @t346) (tptp.cons @t347 @t345)) (and (= @t2 @t347) (tptp.frontsegP @t346 @t345)))) % 235.21/235.56 (define @t349 () (not (tptp.ssList @t345))) % 235.21/235.56 (define @t350 () (not (tptp.ssList @t346))) % 235.21/235.56 (define @t351 () (not (tptp.ssItem @t347))) % 235.21/235.56 (define @t352 () (not @t8)) % 235.21/235.56 (define @t353 () (or @t352 @t351 @t350 @t349 @t348)) % 235.21/235.56 (define @t354 () (or @t351 @t350 @t349 @t348)) % 235.21/235.56 (define @t355 () (or @t352 @t354)) % 235.21/235.56 (define @t356 () (@list @t2 @t347 @t346 @t345)) % 235.21/235.56 (define @t357 () (forall @t356 @t355)) % 235.21/235.56 (define @t358 () (@list @t347 @t346 @t345)) % 235.21/235.56 (define @t359 () (forall @t358 @t355)) % 235.21/235.56 (define @t360 () (forall @t358 @t354)) % 235.21/235.56 (define @t361 () (@var "BOUND_VARIABLE_9875" $$unsorted)) % 235.21/235.56 (define @t362 () (@var "BOUND_VARIABLE_9873" $$unsorted)) % 235.21/235.56 (define @t363 () (or @t352 @t360)) % 235.21/235.56 (define @t364 () (= (tptp.frontsegP (tptp.cons @t2 @t362) (tptp.cons @t1 @t361)) (and @t3 (tptp.frontsegP @t362 @t361)))) % 235.21/235.56 (define @t365 () (not (tptp.ssList @t361))) % 235.21/235.56 (define @t366 () (not (tptp.ssList @t362))) % 235.21/235.56 (define @t367 () (not @t6)) % 235.21/235.56 (define @t368 () (or @t367 @t366 @t365 @t364)) % 235.21/235.56 (define @t369 () (@list @t1 @t362 @t361)) % 235.21/235.56 (define @t370 () (forall @t369 @t368)) % 235.21/235.56 (define @t371 () (or @t366 @t365 @t364)) % 235.21/235.56 (define @t372 () (or @t367 @t371)) % 235.21/235.56 (define @t373 () (forall @t369 @t372)) % 235.21/235.56 (define @t374 () (@list @t362 @t361)) % 235.21/235.56 (define @t375 () (forall @t374 @t372)) % 235.21/235.56 (define @t376 () (forall @t374 @t371)) % 235.21/235.56 (define @t377 () (@var "BOUND_VARIABLE_9854" $$unsorted)) % 235.21/235.56 (define @t378 () (or @t367 @t376)) % 235.21/235.56 (define @t379 () (= (tptp.frontsegP @t97 (tptp.cons @t1 @t377)) (and @t3 (tptp.frontsegP @t12 @t377)))) % 235.21/235.56 (define @t380 () (not (tptp.ssList @t377))) % 235.21/235.56 (define @t381 () (or @t212 @t380 @t379)) % 235.21/235.56 (define @t382 () (@list @t12 @t377)) % 235.21/235.56 (define @t383 () (forall @t382 @t381)) % 235.21/235.56 (define @t384 () (or @t380 @t379)) % 235.21/235.56 (define @t385 () (or @t212 @t384)) % 235.21/235.56 (define @t386 () (forall @t382 @t385)) % 235.21/235.56 (define @t387 () (@list @t377)) % 235.21/235.56 (define @t388 () (forall @t387 @t385)) % 235.21/235.56 (define @t389 () (forall @t387 @t384)) % 235.21/235.56 (define @t390 () (@list @t10)) % 235.21/235.56 (define @t391 () (or @t212 @t389)) % 235.21/235.56 (define @t392 () (forall @t14 (or @t226 @t98))) % 235.21/235.56 (define @t393 () (tptp.tl @t238)) % 235.21/235.56 (define @t394 () (tptp.cons @t327 @t393)) % 235.21/235.56 (define @t395 () (tptp.frontsegP @t394 @t344)) % 235.21/235.56 (define @t396 () (tptp.frontsegP @t393 tptp.nil)) % 235.21/235.56 (define @t397 () (and (= @t327 @t327) @t396)) % 235.21/235.56 (define @t398 () (= @t395 @t397)) % 235.21/235.56 (define @t399 () (tptp.ssList @t393)) % 235.21/235.56 (define @t400 () (not @t399)) % 235.21/235.56 (define @t401 () (or @t342 @t342 @t400 @t283 @t398)) % 235.21/235.56 (define @t402 () (forall @t356 @t353)) % 235.21/235.56 (define @t403 () (= @t396 @t395)) % 235.21/235.56 (define @t404 () (or @t342 @t342 @t400 @t283 @t403)) % 235.21/235.56 (define @t405 () (@var "BOUND_VARIABLE_9260" $$unsorted)) % 235.21/235.56 (define @t406 () (tptp.cons @t405 @t1)) % 235.21/235.56 (define @t407 () (not (= @t2 @t406))) % 235.21/235.56 (define @t408 () (not (tptp.ssItem @t405))) % 235.21/235.56 (define @t409 () (or @t199 @t408 @t407)) % 235.21/235.56 (define @t410 () (@list @t1 @t405)) % 235.21/235.56 (define @t411 () (not (forall @t410 @t409))) % 235.21/235.56 (define @t412 () (or @t177 @t170 @t411)) % 235.21/235.56 (define @t413 () (or @t170 @t411)) % 235.21/235.56 (define @t414 () (or @t408 @t407)) % 235.21/235.56 (define @t415 () (or @t199 @t414)) % 235.21/235.56 (define @t416 () (forall @t410 @t415)) % 235.21/235.56 (define @t417 () (@list @t405)) % 235.21/235.56 (define @t418 () (forall @t417 @t415)) % 235.21/235.56 (define @t419 () (forall @t417 @t414)) % 235.21/235.56 (define @t420 () (or @t199 @t419)) % 235.21/235.56 (define @t421 () (= @t2 @t54)) % 235.21/235.56 (define @t422 () (forall @t16 (or @t325 (not @t421)))) % 235.21/235.56 (define @t423 () (not @t422)) % 235.21/235.56 (define @t424 () (and @t27 @t423)) % 235.21/235.56 (define @t425 () (forall @t7 (not @t424))) % 235.21/235.56 (define @t426 () (not @t425)) % 235.21/235.56 (define @t427 () (and @t40 @t421)) % 235.21/235.56 (define @t428 () (forall @t16 (not @t427))) % 235.21/235.56 (define @t429 () (not @t428)) % 235.21/235.56 (define @t430 () (not (= @t238 @t406))) % 235.21/235.56 (define @t431 () (or @t199 @t408 @t430)) % 235.21/235.56 (define @t432 () (forall @t410 @t431)) % 235.21/235.56 (define @t433 () (not @t432)) % 235.21/235.56 (define @t434 () (or @t249 @t333 @t433)) % 235.21/235.56 (define @t435 () (forall @t9 @t412)) % 235.21/235.56 (define @t436 () (forall @t410 (or @t199 @t408 (not (= @t406 @t238))))) % 235.21/235.56 (define @t437 () (not @t436)) % 235.21/235.56 (define @t438 () (or @t249 @t244 @t437)) % 235.21/235.56 (define @t439 () (@quantifiers_skolemize @t436 0)) % 235.21/235.56 (define @t440 () (@quantifiers_skolemize @t436 1)) % 235.21/235.56 (define @t441 () (tptp.cons @t440 @t439)) % 235.21/235.56 (define @t442 () (= @t238 @t441)) % 235.21/235.56 (define @t443 () (not @t442)) % 235.21/235.56 (define @t444 () (tptp.ssItem @t440)) % 235.21/235.56 (define @t445 () (not @t444)) % 235.21/235.56 (define @t446 () (tptp.ssList @t439)) % 235.21/235.56 (define @t447 () (not @t446)) % 235.21/235.56 (define @t448 () (or @t447 @t445 @t443)) % 235.21/235.56 (define @t449 () (not @t448)) % 235.21/235.56 (define @t450 () (not (= @t441 @t238))) % 235.21/235.56 (define @t451 () (or @t447 @t445 @t450)) % 235.21/235.56 (define @t452 () (not @t451)) % 235.21/235.56 (define @t453 () (@list @t448)) % 235.21/235.56 (define @t454 () (@var "BOUND_VARIABLE_9347" $$unsorted)) % 235.21/235.56 (define @t455 () (= @t2 (tptp.tl (tptp.cons @t454 @t2)))) % 235.21/235.56 (define @t456 () (not (tptp.ssItem @t454))) % 235.21/235.56 (define @t457 () (or @t456 @t455)) % 235.21/235.56 (define @t458 () (or @t177 @t457)) % 235.21/235.56 (define @t459 () (forall (@list @t2 @t454) @t458)) % 235.21/235.56 (define @t460 () (@list @t454)) % 235.21/235.56 (define @t461 () (forall @t460 @t458)) % 235.21/235.56 (define @t462 () (forall @t460 @t457)) % 235.21/235.56 (define @t463 () (or @t177 @t462)) % 235.21/235.56 (define @t464 () (= @t2 @t70)) % 235.21/235.56 (define @t465 () (forall @t7 (or @t367 @t464))) % 235.21/235.56 (define @t466 () (= @t439 (tptp.tl @t441))) % 235.21/235.56 (define @t467 () (or @t447 @t445 @t466)) % 235.21/235.56 (define @t468 () (tptp.frontsegP @t439 tptp.nil)) % 235.21/235.56 (define @t469 () (or @t447 @t468)) % 235.21/235.56 (define @t470 () (= @t2 @t128)) % 235.21/235.56 (define @t471 () (or @t177 @t170 @t470)) % 235.21/235.56 (define @t472 () (=> @t329 @t470)) % 235.21/235.56 (define @t473 () (= @t238 @t394)) % 235.21/235.56 (define @t474 () (or @t249 @t333 @t473)) % 235.21/235.56 (define @t475 () (forall @t9 @t471)) % 235.21/235.56 (define @t476 () (or @t249 @t244 @t473)) % 235.21/235.56 (define @t477 () (tptp.frontsegP @t238 @t344)) % 235.21/235.56 (define @t478 () (tptp.neq @t180 @t344)) % 235.21/235.56 (define @t479 () (= @t180 @t344)) % 235.21/235.56 (define @t480 () (not @t479)) % 235.21/235.56 (define @t481 () (tptp.ssList @t344)) % 235.21/235.56 (define @t482 () (not @t481)) % 235.21/235.56 (define @t483 () (or @t252 @t482 (= @t478 @t480))) % 235.21/235.56 (define @t484 () (= @t480 @t478)) % 235.21/235.56 (define @t485 () (or @t252 @t482 @t484)) % 235.21/235.56 (define @t486 () (@var "BOUND_VARIABLE_9123" $$unsorted)) % 235.21/235.56 (define @t487 () (tptp.ssList (tptp.cons @t486 @t2))) % 235.21/235.56 (define @t488 () (not (tptp.ssItem @t486))) % 235.21/235.56 (define @t489 () (or @t488 @t487)) % 235.21/235.56 (define @t490 () (or @t177 @t489)) % 235.21/235.56 (define @t491 () (forall (@list @t2 @t486) @t490)) % 235.21/235.56 (define @t492 () (@list @t486)) % 235.21/235.56 (define @t493 () (forall @t492 @t490)) % 235.21/235.56 (define @t494 () (forall @t492 @t489)) % 235.21/235.56 (define @t495 () (or @t177 @t494)) % 235.21/235.56 (define @t496 () (forall @t7 (or @t367 @t48))) % 235.21/235.56 (define @t497 () (or @t283 @t342 @t481)) % 235.21/235.56 (define @t498 () (= @t2 @t18)) % 235.21/235.56 (define @t499 () (= @t21 (not (forall @t7 (or @t367 (not @t498)))))) % 235.21/235.56 (define @t500 () (and @t6 @t498)) % 235.21/235.56 (define @t501 () (forall @t7 (not @t500))) % 235.21/235.56 (define @t502 () (not @t501)) % 235.21/235.56 (define @t503 () (not (= @t180 @t18))) % 235.21/235.56 (define @t504 () (or @t367 @t503)) % 235.21/235.56 (define @t505 () (forall @t7 @t504)) % 235.21/235.56 (define @t506 () (not @t505)) % 235.21/235.56 (define @t507 () (tptp.singletonP @t180)) % 235.21/235.56 (define @t508 () (= @t507 @t506)) % 235.21/235.56 (define @t509 () (or @t252 @t508)) % 235.21/235.56 (define @t510 () (forall @t9 (or @t177 @t499))) % 235.21/235.56 (define @t511 () (forall @t7 (or @t367 (not (= @t18 @t180))))) % 235.21/235.56 (define @t512 () (not @t511)) % 235.21/235.56 (define @t513 () (= @t507 @t512)) % 235.21/235.56 (define @t514 () (or @t252 @t513)) % 235.21/235.56 (define @t515 () (not @t507)) % 235.21/235.56 (define @t516 () (= false true)) % 235.21/235.56 (define @t517 () (and @t507 @t243 @t92)) % 235.21/235.56 (define @t518 () (not @t513)) % 235.21/235.56 (define @t519 () (not (= @t344 @t180))) % 235.21/235.56 (define @t520 () (or @t342 @t519)) % 235.21/235.56 (define @t521 () (@list @t327)) % 235.21/235.56 (define @t522 () (or @t342 @t480)) % 235.21/235.56 (define @t523 () (not @t484)) % 235.21/235.56 (define @t524 () (tptp.strictorderedP @t344)) % 235.21/235.56 (define @t525 () (or @t342 @t524)) % 235.21/235.56 (define @t526 () (not @t524)) % 235.21/235.56 (define @t527 () (tptp.segmentP @t344 @t180)) % 235.21/235.56 (define @t528 () (not @t527)) % 235.21/235.56 (define @t529 () (not @t477)) % 235.21/235.56 (define @t530 () (not @t478)) % 235.21/235.56 (define @t531 () (or @t482 @t530 @t529 @t528 @t526)) % 235.21/235.56 (define @t532 () (@list false false false false false)) % 235.21/235.56 (define @t533 () (@var "BOUND_VARIABLE_10201" $$unsorted)) % 235.21/235.56 (define @t534 () (@var "BOUND_VARIABLE_10205" $$unsorted)) % 235.21/235.56 (define @t535 () (@var "BOUND_VARIABLE_10203" $$unsorted)) % 235.21/235.56 (define @t536 () (tptp.segmentP (tptp.app (tptp.app @t535 @t2) @t534) @t533)) % 235.21/235.56 (define @t537 () (not (tptp.ssList @t534))) % 235.21/235.56 (define @t538 () (not (tptp.ssList @t535))) % 235.21/235.56 (define @t539 () (not (tptp.segmentP @t2 @t533))) % 235.21/235.56 (define @t540 () (not (tptp.ssList @t533))) % 235.21/235.56 (define @t541 () (or @t540 @t539 @t538 @t537 @t536)) % 235.21/235.56 (define @t542 () (or @t177 @t541)) % 235.21/235.56 (define @t543 () (forall (@list @t2 @t533 @t535 @t534) @t542)) % 235.21/235.56 (define @t544 () (@list @t533 @t535 @t534)) % 235.21/235.56 (define @t545 () (forall @t544 @t542)) % 235.21/235.56 (define @t546 () (forall @t544 @t541)) % 235.21/235.56 (define @t547 () (@var "BOUND_VARIABLE_10182" $$unsorted)) % 235.21/235.56 (define @t548 () (@var "BOUND_VARIABLE_10180" $$unsorted)) % 235.21/235.56 (define @t549 () (or @t177 @t546)) % 235.21/235.56 (define @t550 () (tptp.segmentP (tptp.app (tptp.app @t548 @t2) @t547) @t1)) % 235.21/235.56 (define @t551 () (not (tptp.ssList @t547))) % 235.21/235.56 (define @t552 () (not (tptp.ssList @t548))) % 235.21/235.56 (define @t553 () (not @t30)) % 235.21/235.56 (define @t554 () (or @t199 @t553 @t552 @t551 @t550)) % 235.21/235.56 (define @t555 () (@list @t1 @t548 @t547)) % 235.21/235.56 (define @t556 () (forall @t555 @t554)) % 235.21/235.56 (define @t557 () (or @t552 @t551 @t550)) % 235.21/235.56 (define @t558 () (or @t199 @t553 @t557)) % 235.21/235.56 (define @t559 () (forall @t555 @t558)) % 235.21/235.56 (define @t560 () (@list @t548 @t547)) % 235.21/235.56 (define @t561 () (forall @t560 @t558)) % 235.21/235.56 (define @t562 () (forall @t560 @t557)) % 235.21/235.56 (define @t563 () (@var "BOUND_VARIABLE_10163" $$unsorted)) % 235.21/235.56 (define @t564 () (or @t199 @t553 @t562)) % 235.21/235.56 (define @t565 () (tptp.segmentP (tptp.app @t108 @t563) @t1)) % 235.21/235.56 (define @t566 () (not (tptp.ssList @t563))) % 235.21/235.56 (define @t567 () (or @t212 @t566 @t565)) % 235.21/235.56 (define @t568 () (@list @t12 @t563)) % 235.21/235.56 (define @t569 () (forall @t568 @t567)) % 235.21/235.56 (define @t570 () (or @t199 @t553 @t569)) % 235.21/235.56 (define @t571 () (or @t553 @t569)) % 235.21/235.56 (define @t572 () (or @t566 @t565)) % 235.21/235.56 (define @t573 () (or @t212 @t572)) % 235.21/235.56 (define @t574 () (forall @t568 @t573)) % 235.21/235.56 (define @t575 () (@list @t563)) % 235.21/235.56 (define @t576 () (forall @t575 @t573)) % 235.21/235.56 (define @t577 () (forall @t575 @t572)) % 235.21/235.56 (define @t578 () (or @t212 @t577)) % 235.21/235.56 (define @t579 () (or @t226 @t109)) % 235.21/235.56 (define @t580 () (forall @t14 @t579)) % 235.21/235.56 (define @t581 () (or @t212 @t580)) % 235.21/235.56 (define @t582 () (forall @t16 @t581)) % 235.21/235.56 (define @t583 () (or @t553 @t582)) % 235.21/235.56 (define @t584 () (or @t553 @t581)) % 235.21/235.56 (define @t585 () (or @t212 @t553 @t580)) % 235.21/235.56 (define @t586 () (or @t553 @t580)) % 235.21/235.56 (define @t587 () (or @t553 @t579)) % 235.21/235.56 (define @t588 () (or @t226 @t553 @t109)) % 235.21/235.56 (define @t589 () (= @t118 @t170)) % 235.21/235.56 (define @t590 () (tptp.segmentP tptp.nil @t180)) % 235.21/235.56 (define @t591 () (or @t252 (= @t590 @t256))) % 235.21/235.56 (define @t592 () (forall @t9 (or @t177 @t589))) % 235.21/235.56 (define @t593 () (= @t243 @t590)) % 235.21/235.56 (define @t594 () (or @t252 @t593)) % 235.21/235.56 (define @t595 () (tptp.app @t344 tptp.nil)) % 235.21/235.56 (define @t596 () (tptp.segmentP (tptp.app @t595 tptp.nil) @t180)) % 235.21/235.56 (define @t597 () (not @t590)) % 235.21/235.56 (define @t598 () (or @t283 @t252 @t597 @t482 @t283 @t596)) % 235.21/235.56 (define @t599 () (not @t596)) % 235.21/235.56 (define @t600 () (not @t341)) % 235.21/235.56 (define @t601 () (not @t263)) % 235.21/235.56 (define @t602 () (and @t596 @t243 @t341 @t263 @t528)) % 235.21/235.56 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 235.21/235.56 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 235.21/235.56 (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))))))))))) % 235.21/235.56 (assume @p4 @t24) % 235.21/235.56 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 235.21/235.56 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 235.21/235.56 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 235.21/235.56 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31))))))))))))))))) % 235.21/235.56 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31)))))))))))))))) % 235.21/235.56 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1))))))))))))))))) % 235.21/235.56 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32))))))))))))))) % 235.21/235.56 (assume @p12 (forall @t9 (=> @t17 (= @t42 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 235.21/235.56 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t43)))))))))))))))) % 235.21/235.56 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t43))))))))))))) % 235.21/235.56 (assume @p15 @t46) % 235.21/235.56 (assume @p16 @t51) % 235.21/235.56 (assume @p17 @t52) % 235.21/235.56 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 235.21/235.56 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53))))))))))) % 235.21/235.56 (assume @p20 @t62) % 235.21/235.56 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 235.21/235.56 (assume @p22 @t68) % 235.21/235.56 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 235.21/235.56 (assume @p24 (forall @t9 (=> @t17 (=> @t65 (tptp.ssList @t69))))) % 235.21/235.56 (assume @p25 @t74) % 235.21/235.56 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t75)))))) % 235.21/235.56 (assume @p27 @t82) % 235.21/235.56 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 235.21/235.56 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t84 @t83) @t3)))))) % 235.21/235.56 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t84 @t32) (tptp.leq @t2 @t12))))))))) % 235.21/235.56 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 235.21/235.56 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t85 @t83)))))) % 235.21/235.56 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t87 (not @t86))))))) % 235.21/235.56 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t87 @t41) @t88)))))))) % 235.21/235.56 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t89 @t86)))))) % 235.21/235.56 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t90))))))))) % 235.21/235.56 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t90))))))))) % 235.21/235.56 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 235.21/235.56 (assume @p39 @t92) % 235.21/235.56 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 @t93) (tptp.frontsegP @t2 @t12))))))))) % 235.21/235.56 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 @t94) @t3)))))) % 235.21/235.56 (assume @p42 @t96) % 235.21/235.56 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 235.21/235.56 (assume @p44 @t105) % 235.21/235.56 (assume @p45 @t107) % 235.21/235.56 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t59)))) % 235.21/235.56 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 235.21/235.56 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 235.21/235.56 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 235.21/235.56 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t108 @t1))))))))) % 235.21/235.56 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 235.21/235.56 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t59)))) % 235.21/235.56 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 235.21/235.56 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 (tptp.segmentP @t1 @t2)) @t3)))))) % 235.21/235.56 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 235.21/235.56 (assume @p56 @t117) % 235.21/235.56 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 235.21/235.56 (assume @p58 @t120) % 235.21/235.56 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t121)))) % 235.21/235.56 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 235.21/235.56 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t121)))) % 235.21/235.56 (assume @p62 (tptp.totalorderP tptp.nil)) % 235.21/235.56 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t121)))) % 235.21/235.56 (assume @p64 (tptp.strictorderP tptp.nil)) % 235.21/235.56 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t121)))) % 235.21/235.56 (assume @p66 (tptp.totalorderedP tptp.nil)) % 235.21/235.56 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t125) (or @t123 (and @t124 (tptp.totalorderedP @t1) (tptp.leq @t2 @t122))))))))) % 235.21/235.56 (assume @p68 @t127) % 235.21/235.56 (assume @p69 (tptp.strictorderedP tptp.nil)) % 235.21/235.56 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t125) (or @t123 (and @t124 (tptp.strictorderedP @t1) (tptp.lt @t2 @t122))))))))) % 235.21/235.56 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t121)))) % 235.21/235.56 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 235.21/235.56 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t121)))) % 235.21/235.56 (assume @p74 (tptp.equalelemsP tptp.nil)) % 235.21/235.56 (assume @p75 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t6 (= @t63 @t1))))))) % 235.21/235.56 (assume @p76 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t27 (= @t69 @t1))))))) % 235.21/235.56 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t124 @t65 (= @t122 @t63) (= (tptp.tl @t1) @t69)) @t53)))))) % 235.21/235.56 (assume @p78 @t131) % 235.21/235.56 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t75) @t132)))))))) % 235.21/235.56 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t76) @t132)))))))) % 235.21/235.56 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 235.21/235.56 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t75 @t12) (tptp.app @t2 @t25))))))))) % 235.21/235.56 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t75) @t133)))))) % 235.21/235.56 (assume @p84 @t136) % 235.21/235.56 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.hd @t75) @t63))))))) % 235.21/235.56 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.tl @t75) (tptp.app @t69 @t1)))))))) % 235.21/235.56 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t85 (tptp.geq @t1 @t2)) @t3)))))) % 235.21/235.56 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t85 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 235.21/235.56 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 235.21/235.56 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 235.21/235.56 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t84 @t41) @t88)))))))) % 235.21/235.56 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (or @t3 @t87))))))) % 235.21/235.56 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t87 (and @t4 @t84))))))) % 235.21/235.56 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t89 (not (tptp.gt @t1 @t2)))))))) % 235.21/235.56 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t89 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 235.21/235.56 (assume @p96 @t161) % 235.21/235.56 (assume @p97 true) % 235.21/235.56 (step @p98 :rule bool-impl-elim :args (@t17 @t162)) % 235.21/235.56 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t162)))) % 235.21/235.56 (step @p100 :rule eq-symm :args (@t134 @t2)) % 235.21/235.56 (step @p101 :rule refl :args (@t17)) % 235.21/235.56 (step @p102 :rule cong :premises (@p101 @p100) :args (@t135)) % 235.21/235.56 (step @p103 :rule cong :premises (@p102) :args (@t136)) % 235.21/235.56 (step @p104 :rule trans :premises (@p103 @p99)) % 235.21/235.56 (step @p105 :rule eq_resolve :premises (@p84 @p104)) % 235.21/235.56 (step @p106 :rule instantiate :premises (@p105) :args (@t181)) % 235.21/235.56 (step @p107 :rule refl :args (@t168)) % 235.21/235.56 (step @p108 :rule refl :args (@t169)) % 235.21/235.56 (step @p109 :rule refl :args (@t170)) % 235.21/235.56 (step @p110 :rule eq-symm :args (@t165 tptp.nil)) % 235.21/235.56 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t182)) % 235.21/235.56 (step @p112 :rule refl :args (@t174)) % 235.21/235.56 (step @p113 :rule refl :args (@t175)) % 235.21/235.56 (step @p114 :rule refl :args (@t176)) % 235.21/235.56 (step @p115 :rule refl :args (@t177)) % 235.21/235.56 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111 @p108 @p107) :args (@t183)) % 235.21/235.56 (step @p117 :rule aci_norm :args ((= @t185 @t183))) % 235.21/235.56 (step @p118 :rule trans :premises (@p117 @p116)) % 235.21/235.56 (step @p119 :rule cong :premises (@p118) :args (@t186)) % 235.21/235.56 (step @p120 :rule quant-merge-prenex :args ((= (forall @t9 @t188) @t186))) % 235.21/235.56 (step @p121 :rule alpha_equiv :args (@t189 (@list @t165) @t190)) % 235.21/235.56 (step @p122 :rule refl :args (@t176)) % 235.21/235.56 (step @p123 :rule refl :args (@t177)) % 235.21/235.56 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args (@t191)) % 235.21/235.56 (step @p125 :rule quant-miniscope-or :args ((= @t188 @t191))) % 235.21/235.56 (step @p126 :rule trans :premises (@p125 @p124)) % 235.21/235.56 (step @p127 :rule symm :premises (@p126)) % 235.21/235.56 (step @p128 :rule cong :premises (@p127) :args ((forall @t9 @t201))) % 235.21/235.56 (step @p129 :rule trans :premises (@p128 @p120)) % 235.21/235.56 (step @p130 :rule trans :premises (@p129 @p119)) % 235.21/235.56 (step @p131 :rule aci_norm :args ((= (or @t177 @t201) @t201))) % 235.21/235.56 (step @p132 :rule bool-impl-elim :args (@t17 @t201)) % 235.21/235.56 (step @p133 :rule trans :premises (@p132 @p131)) % 235.21/235.56 (step @p134 :rule cong :premises (@p133) :args ((forall @t9 (=> @t17 @t201)))) % 235.21/235.56 (step @p135 :rule trans :premises (@p134 @p130)) % 235.21/235.56 (step @p136 :rule quant-miniscope-or :args ((= (forall @t7 @t202) @t201))) % 235.21/235.56 (step @p137 :rule aci_norm :args ((= @t203 @t202))) % 235.21/235.56 (step @p138 :rule cong :premises (@p137) :args ((forall @t7 @t203))) % 235.21/235.56 (step @p139 :rule trans :premises (@p138 @p136)) % 235.21/235.56 (step @p140 :rule aci_norm :args ((= (or @t199 @t204) @t203))) % 235.21/235.56 (step @p141 :rule bool-impl-elim :args (@t27 @t204)) % 235.21/235.56 (step @p142 :rule trans :premises (@p141 @p140)) % 235.21/235.56 (step @p143 :rule cong :premises (@p142) :args ((forall @t7 (=> @t27 @t204)))) % 235.21/235.56 (step @p144 :rule trans :premises (@p143 @p139)) % 235.21/235.56 (step @p145 :rule aci_norm :args ((= (or @t198 @t195 @t199 @t205) @t204))) % 235.21/235.56 (step @p146 :rule aci_norm :args ((= (or @t177 false @t176 @t194 @t193) @t205))) % 235.21/235.56 (step @p147 :rule refl :args (@t193)) % 235.21/235.56 (step @p148 :rule refl :args (@t194)) % 235.21/235.56 (step @p149 :rule evaluate :args ((not true))) % 235.21/235.56 (step @p150 :rule eq-refl :args (@t2)) % 235.21/235.56 (step @p151 :rule cong :premises (@p150) :args (@t206)) % 235.21/235.56 (step @p152 :rule trans :premises (@p151 @p149)) % 235.21/235.56 (step @p153 :rule nary_cong :premises (@p115 @p152 @p114 @p148 @p147) :args (@t207)) % 235.21/235.56 (step @p154 :rule trans :premises (@p153 @p146)) % 235.21/235.56 (step @p155 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t132) @t212 @t150 @t148 @t211 @t210)) @t207))) % 235.21/235.56 (step @p156 :rule refl :args (@t210)) % 235.21/235.56 (step @p157 :rule refl :args (@t211)) % 235.21/235.56 (step @p158 :rule refl :args (@t148)) % 235.21/235.56 (step @p159 :rule refl :args (@t150)) % 235.21/235.56 (step @p160 :rule refl :args (@t212)) % 235.21/235.56 (step @p161 :rule eq-symm :args (@t2 @t12)) % 235.21/235.56 (step @p162 :rule cong :premises (@p161) :args (@t150)) % 235.21/235.56 (step @p163 :rule nary_cong :premises (@p162 @p160 @p159 @p158 @p157 @p156) :args (@t213)) % 235.21/235.56 (step @p164 :rule aci_norm :args ((= @t214 @t213))) % 235.21/235.56 (step @p165 :rule trans :premises (@p164 @p163)) % 235.21/235.56 (step @p166 :rule cong :premises (@p165) :args (@t215)) % 235.21/235.56 (step @p167 :rule trans :premises (@p166 @p155)) % 235.21/235.56 (step @p168 :rule trans :premises (@p167 @p154)) % 235.21/235.56 (step @p169 :rule refl :args (@t199)) % 235.21/235.56 (step @p170 :rule refl :args (@t195)) % 235.21/235.56 (step @p171 :rule refl :args (@t198)) % 235.21/235.56 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169 @p168) :args (@t216)) % 235.21/235.56 (step @p173 :rule trans :premises (@p172 @p145)) % 235.21/235.56 (step @p174 :rule quant-miniscope-or :args ((= (forall @t16 @t217) @t216))) % 235.21/235.56 (step @p175 :rule aci_norm :args ((= @t218 @t217))) % 235.21/235.56 (step @p176 :rule cong :premises (@p175) :args ((forall @t16 @t218))) % 235.21/235.56 (step @p177 :rule trans :premises (@p176 @p174)) % 235.21/235.56 (step @p178 :rule trans :premises (@p177 @p173)) % 235.21/235.56 (step @p179 :rule aci_norm :args ((= (or @t212 @t219) @t218))) % 235.21/235.56 (step @p180 :rule bool-impl-elim :args (@t15 @t219)) % 235.21/235.56 (step @p181 :rule trans :premises (@p180 @p179)) % 235.21/235.56 (step @p182 :rule cong :premises (@p181) :args ((forall @t16 (=> @t15 @t219)))) % 235.21/235.56 (step @p183 :rule trans :premises (@p182 @p178)) % 235.21/235.56 (step @p184 :rule aci_norm :args ((= (or @t150 @t148 @t198 @t195 @t220) @t219))) % 235.21/235.56 (step @p185 :rule aci_norm :args ((= (or @t199 false @t211 @t210) @t220))) % 235.21/235.56 (step @p186 :rule refl :args (@t210)) % 235.21/235.56 (step @p187 :rule refl :args (@t211)) % 235.21/235.56 (step @p188 :rule eq-refl :args (@t1)) % 235.21/235.56 (step @p189 :rule cong :premises (@p188) :args (@t221)) % 235.21/235.56 (step @p190 :rule trans :premises (@p189 @p149)) % 235.21/235.56 (step @p191 :rule nary_cong :premises (@p169 @p190 @p187 @p186) :args (@t222)) % 235.21/235.56 (step @p192 :rule trans :premises (@p191 @p185)) % 235.21/235.56 (step @p193 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t226 @t151 @t149 @t225)) @t222))) % 235.21/235.56 (step @p194 :rule refl :args (@t225)) % 235.21/235.56 (step @p195 :rule refl :args (@t149)) % 235.21/235.56 (step @p196 :rule refl :args (@t151)) % 235.21/235.56 (step @p197 :rule refl :args (@t226)) % 235.21/235.56 (step @p198 :rule eq-symm :args (@t1 @t10)) % 235.21/235.56 (step @p199 :rule cong :premises (@p198) :args (@t151)) % 235.21/235.56 (step @p200 :rule nary_cong :premises (@p199 @p197 @p196 @p195 @p194) :args (@t227)) % 235.21/235.56 (step @p201 :rule aci_norm :args ((= @t228 @t227))) % 235.21/235.56 (step @p202 :rule trans :premises (@p201 @p200)) % 235.21/235.56 (step @p203 :rule cong :premises (@p202) :args (@t229)) % 235.21/235.56 (step @p204 :rule trans :premises (@p203 @p193)) % 235.21/235.56 (step @p205 :rule trans :premises (@p204 @p192)) % 235.21/235.56 (step @p206 :rule refl :args (@t148)) % 235.21/235.56 (step @p207 :rule refl :args (@t150)) % 235.21/235.56 (step @p208 :rule nary_cong :premises (@p207 @p206 @p171 @p170 @p205) :args (@t230)) % 235.21/235.56 (step @p209 :rule trans :premises (@p208 @p184)) % 235.21/235.56 (step @p210 :rule quant-miniscope-or :args ((= (forall @t14 @t231) @t230))) % 235.21/235.56 (step @p211 :rule aci_norm :args ((= @t232 @t231))) % 235.21/235.56 (step @p212 :rule cong :premises (@p211) :args ((forall @t14 @t232))) % 235.21/235.56 (step @p213 :rule trans :premises (@p212 @p210)) % 235.21/235.56 (step @p214 :rule trans :premises (@p213 @p209)) % 235.21/235.56 (step @p215 :rule aci_norm :args ((= (or @t226 @t233) @t232))) % 235.21/235.56 (step @p216 :rule bool-impl-elim :args (@t13 @t233)) % 235.21/235.56 (step @p217 :rule trans :premises (@p216 @p215)) % 235.21/235.56 (step @p218 :rule cong :premises (@p217) :args ((forall @t14 (=> @t13 @t233)))) % 235.21/235.56 (step @p219 :rule trans :premises (@p218 @p214)) % 235.21/235.56 (step @p220 :rule eq-symm :args (tptp.nil @t2)) % 235.21/235.56 (step @p221 :rule eq-symm :args (tptp.nil @t1)) % 235.21/235.56 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t133)) % 235.21/235.56 (step @p223 :rule aci_norm :args ((= (or @t167 (or @t209 (or @t223 (or @t208 @t163)))) @t224))) % 235.21/235.56 (step @p224 :rule bool-and-de-morgan :args (@t138 @t137 true)) % 235.21/235.56 (step @p225 :rule refl :args (@t223)) % 235.21/235.56 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t223 (not (and @t138 @t137))))) % 235.21/235.56 (step @p227 :rule bool-and-de-morgan :args (@t139 @t138 (and @t137))) % 235.21/235.56 (step @p228 :rule trans :premises (@p227 @p226)) % 235.21/235.56 (step @p229 :rule refl :args (@t209)) % 235.21/235.56 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t209 (not (and @t139 @t138 @t137))))) % 235.21/235.56 (step @p231 :rule bool-and-de-morgan :args (@t140 @t139 (and @t138 @t137))) % 235.21/235.56 (step @p232 :rule trans :premises (@p231 @p230)) % 235.21/235.56 (step @p233 :rule refl :args (@t167)) % 235.21/235.56 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t167 (not (and @t140 @t139 @t138 @t137))))) % 235.21/235.56 (step @p235 :rule bool-and-de-morgan :args (@t36 @t140 (and @t139 @t138 @t137))) % 235.21/235.56 (step @p236 :rule trans :premises (@p235 @p234)) % 235.21/235.56 (step @p237 :rule trans :premises (@p236 @p223)) % 235.21/235.56 (step @p238 :rule cong :premises (@p237) :args (@t234)) % 235.21/235.56 (step @p239 :rule cong :premises (@p238) :args (@t235)) % 235.21/235.56 (step @p240 :rule exists-elim :args ((= @t142 @t235))) % 235.21/235.56 (step @p241 :rule trans :premises (@p240 @p239)) % 235.21/235.56 (step @p242 :rule aci_norm :args ((= (or @t173 (or @t172 (or @t196 @t171))) @t197))) % 235.21/235.56 (step @p243 :rule bool-and-de-morgan :args (@t144 @t143 true)) % 235.21/235.56 (step @p244 :rule refl :args (@t172)) % 235.21/235.56 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or @t172 (not (and @t144 @t143))))) % 235.21/235.56 (step @p246 :rule bool-and-de-morgan :args (@t145 @t144 (and @t143))) % 235.21/235.56 (step @p247 :rule trans :premises (@p246 @p245)) % 235.21/235.56 (step @p248 :rule refl :args (@t173)) % 235.21/235.56 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or @t173 (not (and @t145 @t144 @t143))))) % 235.21/235.56 (step @p250 :rule bool-and-de-morgan :args (@t38 @t145 (and @t144 @t143))) % 235.21/235.56 (step @p251 :rule trans :premises (@p250 @p249)) % 235.21/235.56 (step @p252 :rule trans :premises (@p251 @p242)) % 235.21/235.56 (step @p253 :rule cong :premises (@p252) :args (@t236)) % 235.21/235.56 (step @p254 :rule cong :premises (@p253) :args (@t237)) % 235.21/235.56 (step @p255 :rule exists-elim :args ((= @t147 @t237))) % 235.21/235.56 (step @p256 :rule trans :premises (@p255 @p254)) % 235.21/235.56 (step @p257 :rule refl :args (@t149)) % 235.21/235.56 (step @p258 :rule refl :args (@t151)) % 235.21/235.56 (step @p259 :rule nary_cong :premises (@p258 @p207 @p257 @p206 @p256 @p241 @p222) :args (@t152)) % 235.21/235.56 (step @p260 :rule refl :args (@t13)) % 235.21/235.56 (step @p261 :rule cong :premises (@p260 @p259) :args (@t153)) % 235.21/235.56 (step @p262 :rule cong :premises (@p261) :args (@t154)) % 235.21/235.56 (step @p263 :rule trans :premises (@p262 @p219)) % 235.21/235.56 (step @p264 :rule refl :args (@t15)) % 235.21/235.56 (step @p265 :rule cong :premises (@p264 @p263) :args (@t155)) % 235.21/235.56 (step @p266 :rule cong :premises (@p265) :args (@t156)) % 235.21/235.56 (step @p267 :rule trans :premises (@p266 @p183)) % 235.21/235.56 (step @p268 :rule refl :args (@t27)) % 235.21/235.56 (step @p269 :rule cong :premises (@p268 @p267) :args (@t157)) % 235.21/235.56 (step @p270 :rule cong :premises (@p269) :args (@t158)) % 235.21/235.56 (step @p271 :rule trans :premises (@p270 @p144)) % 235.21/235.56 (step @p272 :rule cong :premises (@p101 @p271) :args (@t159)) % 235.21/235.56 (step @p273 :rule cong :premises (@p272) :args (@t160)) % 235.21/235.56 (step @p274 :rule trans :premises (@p273 @p135)) % 235.21/235.56 (step @p275 :rule cong :premises (@p274) :args (@t161)) % 235.21/235.56 (step @p276 :rule eq_resolve :premises (@p96 @p275)) % 235.21/235.56 (step @p277 :rule refl :args (@t254)) % 235.21/235.56 (step @p278 :rule bool-double-not-elim :args (@t179)) % 235.21/235.56 (step @p279 :rule nary_cong :premises (@p278 @p277) :args ((or (not @t255) @t254))) % 235.21/235.56 (step @p280 :rule refl :args (@t240)) % 235.21/235.56 (step @p281 :rule refl :args (@t242)) % 235.21/235.56 (step @p282 :rule eq-symm :args (@t180 tptp.nil)) % 235.21/235.56 (step @p283 :rule refl :args (@t244)) % 235.21/235.56 (step @p284 :rule nary_cong :premises (@p283 @p282) :args (@t257)) % 235.21/235.56 (step @p285 :rule refl :args (@t247)) % 235.21/235.56 (step @p286 :rule refl :args (@t249)) % 235.21/235.56 (step @p287 :rule refl :args (@t250)) % 235.21/235.56 (step @p288 :rule refl :args (@t252)) % 235.21/235.56 (step @p289 :rule nary_cong :premises (@p288 @p287 @p286 @p285 @p284 @p281 @p280) :args (@t258)) % 235.21/235.56 (step @p290 :rule cong :premises (@p289) :args (@t259)) % 235.21/235.56 (step @p291 :rule refl :args (@t255)) % 235.21/235.56 (step @p292 :rule cong :premises (@p291 @p290) :args ((=> @t255 @t259))) % 235.21/235.56 (assume-push @p1049 @t255) % 235.21/235.56 (step @p294 :rule skolemize :premises (@p276)) % 235.21/235.56 (step-pop @p1050 :rule scope :premises (@p294)) % 235.21/235.56 (step @p295 :rule process_scope :premises (@p1050) :args (@t259)) % 235.21/235.56 (step @p297 :rule eq_resolve :premises (@p295 @p292)) % 235.21/235.56 (step @p298 :rule implies_elim :premises (@p297)) % 235.21/235.56 (step @p299 :rule eq_resolve :premises (@p298 @p279)) % 235.21/235.56 (step @p300 :rule chain_m_resolution :premises (@p299 @p276) :args (@t254 @t260 (@list @t179))) % 235.21/235.56 (step @p301 :rule bool-double-not-elim :args (@t251)) % 235.21/235.56 (step @p302 :rule refl :args (@t253)) % 235.21/235.56 (step @p303 :rule nary_cong :premises (@p302 @p301) :args ((or @t253 (not @t252)))) % 235.21/235.56 (step @p304 :rule cnf_or_neg :args (@t253 0)) % 235.21/235.56 (step @p305 :rule eq_resolve :premises (@p304 @p303)) % 235.21/235.56 (step @p306 :rule reordering :premises (@p305) :args ((or @t251 @t253))) % 235.21/235.56 (step @p307 :rule chain_m_resolution :premises (@p306 @p300) :args (@t251 @t260 @t261)) % 235.21/235.56 (step @p308 :rule cnf_or_pos :args (@t264)) % 235.21/235.56 (step @p309 :rule reordering :premises (@p308) :args ((or @t252 @t263 (not @t264)))) % 235.21/235.56 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p106) :args (@t263 @t265 (@list @t251 @t264))) % 235.21/235.56 (step @p311 :rule aci_norm :args ((= @t271 @t269))) % 235.21/235.56 (step @p312 :rule cong :premises (@p311) :args (@t273)) % 235.21/235.56 (step @p313 :rule quant-merge-prenex :args ((= (forall @t9 @t275) @t273))) % 235.21/235.56 (step @p314 :rule alpha_equiv :args (@t276 (@list @t266) @t190)) % 235.21/235.56 (step @p315 :rule nary_cong :premises (@p123 @p314) :args (@t277)) % 235.21/235.56 (step @p316 :rule quant-miniscope-or :args ((= @t275 @t277))) % 235.21/235.56 (step @p317 :rule trans :premises (@p316 @p315)) % 235.21/235.56 (step @p318 :rule symm :premises (@p317)) % 235.21/235.56 (step @p319 :rule cong :premises (@p318) :args ((forall @t9 (or @t177 @t278)))) % 235.21/235.56 (step @p320 :rule trans :premises (@p319 @p313)) % 235.21/235.56 (step @p321 :rule trans :premises (@p320 @p312)) % 235.21/235.56 (step @p322 :rule bool-impl-elim :args (@t17 @t278)) % 235.21/235.56 (step @p323 :rule cong :premises (@p322) :args ((forall @t9 (=> @t17 @t278)))) % 235.21/235.56 (step @p324 :rule trans :premises (@p323 @p321)) % 235.21/235.56 (step @p325 :rule bool-impl-elim :args (@t27 @t5)) % 235.21/235.56 (step @p326 :rule cong :premises (@p325) :args (@t44)) % 235.21/235.56 (step @p327 :rule cong :premises (@p101 @p326) :args (@t45)) % 235.21/235.56 (step @p328 :rule cong :premises (@p327) :args (@t46)) % 235.21/235.56 (step @p329 :rule trans :premises (@p328 @p324)) % 235.21/235.56 (step @p330 :rule eq_resolve :premises (@p15 @p329)) % 235.21/235.56 (step @p331 :rule eq-symm :args (@t279 @t280)) % 235.21/235.56 (step @p332 :rule cong :premises (@p282) :args (@t281)) % 235.21/235.56 (step @p333 :rule refl :args (@t279)) % 235.21/235.56 (step @p334 :rule cong :premises (@p333 @p332) :args (@t282)) % 235.21/235.56 (step @p335 :rule trans :premises (@p334 @p331)) % 235.21/235.56 (step @p336 :rule refl :args (@t283)) % 235.21/235.56 (step @p337 :rule nary_cong :premises (@p288 @p336 @p335) :args (@t284)) % 235.21/235.56 (step @p338 :rule refl :args (@t285)) % 235.21/235.56 (step @p339 :rule cong :premises (@p338 @p337) :args ((=> @t285 @t284))) % 235.21/235.56 (assume-push @p1051 @t285) % 235.21/235.56 (step @p341 :rule instantiate :premises (@p330) :args ((@list @t180 tptp.nil))) % 235.21/235.56 (step-pop @p1052 :rule scope :premises (@p341)) % 235.21/235.56 (step @p342 :rule process_scope :premises (@p1052) :args (@t284)) % 235.21/235.56 (step @p344 :rule eq_resolve :premises (@p342 @p339)) % 235.21/235.56 (step @p345 :rule implies_elim :premises (@p344)) % 235.21/235.56 (step @p346 :rule chain_m_resolution :premises (@p345 @p330) :args (@t287 @t288 @t289)) % 235.21/235.56 (step @p347 :rule cnf_or_pos :args (@t287)) % 235.21/235.56 (step @p348 :rule reordering :premises (@p347) :args ((or @t283 @t252 @t286 (not @t287)))) % 235.21/235.56 (step @p349 :rule chain_m_resolution :premises (@p348 @p17 @p307 @p346) :args (@t286 @t290 (@list @t52 @t251 @t287))) % 235.21/235.56 (step @p350 :rule bool-double-not-elim :args (@t246)) % 235.21/235.56 (step @p351 :rule nary_cong :premises (@p302 @p350) :args ((or @t253 (not @t247)))) % 235.21/235.56 (step @p352 :rule cnf_or_neg :args (@t253 3)) % 235.21/235.56 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 235.21/235.56 (step @p354 :rule reordering :premises (@p353) :args ((or @t246 @t253))) % 235.21/235.56 (step @p355 :rule chain_m_resolution :premises (@p354 @p300) :args (@t246 @t260 @t261)) % 235.21/235.56 (step @p356 :rule instantiate :premises (@p355) :args (@t181)) % 235.21/235.56 (step @p357 :rule bool-impl-elim :args (@t17 @t95)) % 235.21/235.56 (step @p358 :rule cong :premises (@p357) :args (@t96)) % 235.21/235.56 (step @p359 :rule eq_resolve :premises (@p42 @p358)) % 235.21/235.56 (step @p360 :rule instantiate :premises (@p359) :args (@t181)) % 235.21/235.56 (step @p361 :rule cnf_or_pos :args (@t292)) % 235.21/235.56 (step @p362 :rule reordering :premises (@p361) :args ((or @t252 @t291 (not @t292)))) % 235.21/235.56 (step @p363 :rule chain_m_resolution :premises (@p362 @p307 @p360) :args (@t291 @t265 (@list @t251 @t292))) % 235.21/235.56 (step @p364 :rule bool-double-not-elim :args (@t241)) % 235.21/235.56 (step @p365 :rule nary_cong :premises (@p302 @p364) :args ((or @t253 (not @t242)))) % 235.21/235.56 (step @p366 :rule cnf_or_neg :args (@t253 5)) % 235.21/235.56 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 235.21/235.56 (step @p368 :rule reordering :premises (@p367) :args ((or @t241 @t253))) % 235.21/235.56 (step @p369 :rule chain_m_resolution :premises (@p368 @p300) :args (@t241 @t260 @t261)) % 235.21/235.56 (step @p370 :rule cnf_or_pos :args (@t295)) % 235.21/235.56 (step @p371 :rule reordering :premises (@p370) :args ((or @t252 @t242 @t293 @t294 (not @t295)))) % 235.21/235.56 (step @p372 :rule chain_m_resolution :premises (@p371 @p307 @p369 @p363 @p356) :args (@t294 @t296 (@list @t251 @t241 @t291 @t295))) % 235.21/235.56 (step @p373 :rule bool-double-not-elim :args (@t243)) % 235.21/235.56 (step @p374 :rule refl :args (@t297)) % 235.21/235.56 (step @p375 :rule nary_cong :premises (@p374 @p373 @p333) :args ((or @t297 (not @t280) @t279))) % 235.21/235.56 (step @p376 :rule cnf_equiv_pos1 :args (@t286)) % 235.21/235.56 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 235.21/235.56 (step @p378 :rule reordering :premises (@p377) :args ((or @t243 @t279 @t297))) % 235.21/235.56 (step @p379 :rule chain_m_resolution :premises (@p378 @p372 @p349) :args (@t243 @t298 (@list @t279 @t286))) % 235.21/235.56 (step @p380 :rule aci_norm :args ((= @t305 (or @t177 @t303 @t302 @t301)))) % 235.21/235.56 (step @p381 :rule cong :premises (@p380) :args (@t306)) % 235.21/235.56 (step @p382 :rule quant-merge-prenex :args ((= (forall @t9 @t308) @t306))) % 235.21/235.56 (step @p383 :rule alpha_equiv :args (@t309 (@list @t299 @t300) (@list @t1 @t310))) % 235.21/235.56 (step @p384 :rule nary_cong :premises (@p123 @p383) :args (@t311)) % 235.21/235.56 (step @p385 :rule quant-miniscope-or :args ((= @t308 @t311))) % 235.21/235.56 (step @p386 :rule trans :premises (@p385 @p384)) % 235.21/235.56 (step @p387 :rule symm :premises (@p386)) % 235.21/235.56 (step @p388 :rule cong :premises (@p387) :args ((forall @t9 (or @t177 @t316)))) % 235.21/235.56 (step @p389 :rule trans :premises (@p388 @p382)) % 235.21/235.56 (step @p390 :rule trans :premises (@p389 @p381)) % 235.21/235.56 (step @p391 :rule bool-impl-elim :args (@t17 @t316)) % 235.21/235.56 (step @p392 :rule cong :premises (@p391) :args ((forall @t9 (=> @t17 @t316)))) % 235.21/235.56 (step @p393 :rule trans :premises (@p392 @p390)) % 235.21/235.56 (step @p394 :rule aci_norm :args ((= @t318 @t314))) % 235.21/235.56 (step @p395 :rule cong :premises (@p394) :args (@t319)) % 235.21/235.56 (step @p396 :rule quant-merge-prenex :args ((= (forall @t7 @t321) @t319))) % 235.21/235.56 (step @p397 :rule alpha_equiv :args (@t322 (@list @t310) @t323)) % 235.21/235.56 (step @p398 :rule refl :args (@t199)) % 235.21/235.56 (step @p399 :rule nary_cong :premises (@p398 @p397) :args (@t324)) % 235.21/235.56 (step @p400 :rule quant-miniscope-or :args ((= @t321 @t324))) % 235.21/235.56 (step @p401 :rule trans :premises (@p400 @p399)) % 235.21/235.56 (step @p402 :rule symm :premises (@p401)) % 235.21/235.56 (step @p403 :rule cong :premises (@p402) :args ((forall @t7 (or @t199 @t326)))) % 235.21/235.56 (step @p404 :rule trans :premises (@p403 @p396)) % 235.21/235.56 (step @p405 :rule trans :premises (@p404 @p395)) % 235.21/235.56 (step @p406 :rule bool-impl-elim :args (@t27 @t326)) % 235.21/235.56 (step @p407 :rule cong :premises (@p406) :args ((forall @t7 (=> @t27 @t326)))) % 235.21/235.56 (step @p408 :rule trans :premises (@p407 @p405)) % 235.21/235.56 (step @p409 :rule bool-impl-elim :args (@t40 @t77)) % 235.21/235.56 (step @p410 :rule cong :premises (@p409) :args (@t78)) % 235.21/235.56 (step @p411 :rule cong :premises (@p268 @p410) :args (@t79)) % 235.21/235.56 (step @p412 :rule cong :premises (@p411) :args (@t80)) % 235.21/235.56 (step @p413 :rule trans :premises (@p412 @p408)) % 235.21/235.56 (step @p414 :rule cong :premises (@p101 @p413) :args (@t81)) % 235.21/235.56 (step @p415 :rule cong :premises (@p414) :args (@t82)) % 235.21/235.56 (step @p416 :rule trans :premises (@p415 @p393)) % 235.21/235.56 (step @p417 :rule eq_resolve :premises (@p27 @p416)) % 235.21/235.56 (step @p418 :rule instantiate :premises (@p417) :args ((@list tptp.nil @t180 @t327))) % 235.21/235.56 (step @p419 :rule aci_norm :args ((= (or @t177 (or @t170 @t64)) @t328))) % 235.21/235.56 (step @p420 :rule refl :args (@t64)) % 235.21/235.56 (step @p421 :rule bool-double-not-elim :args (@t170)) % 235.21/235.56 (step @p422 :rule nary_cong :premises (@p421 @p420) :args ((or @t330 @t64))) % 235.21/235.56 (step @p423 :rule bool-impl-elim :args (@t329 @t64)) % 235.21/235.56 (step @p424 :rule trans :premises (@p423 @p422)) % 235.21/235.56 (step @p425 :rule nary_cong :premises (@p123 @p424) :args ((or @t177 @t331))) % 235.21/235.56 (step @p426 :rule trans :premises (@p425 @p419)) % 235.21/235.56 (step @p427 :rule bool-impl-elim :args (@t17 @t331)) % 235.21/235.56 (step @p428 :rule trans :premises (@p427 @p426)) % 235.21/235.56 (step @p429 :rule cong :premises (@p428) :args ((forall @t9 (=> @t17 @t331)))) % 235.21/235.56 (step @p430 :rule refl :args (@t64)) % 235.21/235.56 (step @p431 :rule cong :premises (@p220) :args (@t65)) % 235.21/235.56 (step @p432 :rule cong :premises (@p431 @p430) :args (@t66)) % 235.21/235.56 (step @p433 :rule cong :premises (@p101 @p432) :args (@t67)) % 235.21/235.56 (step @p434 :rule cong :premises (@p433) :args (@t68)) % 235.21/235.56 (step @p435 :rule trans :premises (@p434 @p429)) % 235.21/235.56 (step @p436 :rule eq_resolve :premises (@p22 @p435)) % 235.21/235.56 (step @p437 :rule refl :args (@t332)) % 235.21/235.56 (step @p438 :rule eq-symm :args (@t238 tptp.nil)) % 235.21/235.56 (step @p439 :rule nary_cong :premises (@p286 @p438 @p437) :args (@t334)) % 235.21/235.56 (step @p440 :rule refl :args (@t335)) % 235.21/235.56 (step @p441 :rule cong :premises (@p440 @p439) :args ((=> @t335 @t334))) % 235.21/235.56 (assume-push @p1053 @t335) % 235.21/235.56 (step @p443 :rule instantiate :premises (@p436) :args (@t336)) % 235.21/235.56 (step-pop @p1054 :rule scope :premises (@p443)) % 235.21/235.56 (step @p444 :rule process_scope :premises (@p1054) :args (@t334)) % 235.21/235.56 (step @p446 :rule eq_resolve :premises (@p444 @p441)) % 235.21/235.56 (step @p447 :rule implies_elim :premises (@p446)) % 235.21/235.56 (step @p448 :rule chain_m_resolution :premises (@p447 @p436) :args (@t337 @t288 (@list @t335))) % 235.21/235.56 (step @p449 :rule cnf_or_neg :args (@t253 4)) % 235.21/235.56 (step @p450 :rule chain_m_resolution :premises (@p449 @p300) :args ((not @t245) @t260 @t261)) % 235.21/235.56 (step @p451 :rule cnf_and_neg :args (@t245)) % 235.21/235.56 (step @p452 :rule chain_m_resolution :premises (@p451 @p450 @p379) :args ((not @t244) @t298 (@list @t245 @t243))) % 235.21/235.56 (step @p453 :rule bool-double-not-elim :args (@t248)) % 235.21/235.56 (step @p454 :rule nary_cong :premises (@p302 @p453) :args ((or @t253 (not @t249)))) % 235.21/235.56 (step @p455 :rule cnf_or_neg :args (@t253 2)) % 235.21/235.56 (step @p456 :rule eq_resolve :premises (@p455 @p454)) % 235.21/235.56 (step @p457 :rule reordering :premises (@p456) :args ((or @t248 @t253))) % 235.21/235.56 (step @p458 :rule chain_m_resolution :premises (@p457 @p300) :args (@t248 @t260 @t261)) % 235.21/235.56 (step @p459 :rule cnf_or_pos :args (@t337)) % 235.21/235.56 (step @p460 :rule reordering :premises (@p459) :args ((or @t249 @t244 @t332 (not @t337)))) % 235.21/235.56 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p452 @p448) :args (@t332 @t338 (@list @t248 @t244 @t337))) % 235.21/235.56 (step @p462 :rule cnf_or_pos :args (@t343)) % 235.21/235.56 (step @p463 :rule reordering :premises (@p462) :args ((or @t283 @t252 @t342 @t341 (not @t343)))) % 235.21/235.56 (step @p464 :rule chain_m_resolution :premises (@p463 @p17 @p307 @p461 @p418) :args (@t341 @t296 (@list @t52 @t251 @t332 @t343))) % 235.21/235.56 (step @p465 :rule bool-double-not-elim :args (@t239)) % 235.21/235.56 (step @p466 :rule nary_cong :premises (@p302 @p465) :args ((or @t253 (not @t240)))) % 235.21/235.56 (step @p467 :rule cnf_or_neg :args (@t253 6)) % 235.21/235.56 (step @p468 :rule eq_resolve :premises (@p467 @p466)) % 235.21/235.56 (step @p469 :rule reordering :premises (@p468) :args ((or @t239 @t253))) % 235.21/235.56 (step @p470 :rule chain_m_resolution :premises (@p469 @p300) :args (@t239 @t260 @t261)) % 235.21/235.56 (step @p471 :rule instantiate :premises (@p470) :args ((@list @t344))) % 235.21/235.56 (step @p472 :rule aci_norm :args ((= @t355 @t353))) % 235.21/235.56 (step @p473 :rule cong :premises (@p472) :args (@t357)) % 235.21/235.56 (step @p474 :rule quant-merge-prenex :args ((= (forall @t9 @t359) @t357))) % 235.21/235.56 (step @p475 :rule alpha_equiv :args (@t360 (@list @t347 @t346 @t345) (@list @t1 @t362 @t361))) % 235.21/235.56 (step @p476 :rule refl :args (@t352)) % 235.21/235.56 (step @p477 :rule nary_cong :premises (@p476 @p475) :args (@t363)) % 235.21/235.56 (step @p478 :rule quant-miniscope-or :args ((= @t359 @t363))) % 235.21/235.56 (step @p479 :rule trans :premises (@p478 @p477)) % 235.21/235.56 (step @p480 :rule symm :premises (@p479)) % 235.21/235.56 (step @p481 :rule cong :premises (@p480) :args ((forall @t9 (or @t352 @t370)))) % 235.21/235.56 (step @p482 :rule trans :premises (@p481 @p474)) % 235.21/235.56 (step @p483 :rule trans :premises (@p482 @p473)) % 235.21/235.56 (step @p484 :rule bool-impl-elim :args (@t8 @t370)) % 235.21/235.56 (step @p485 :rule cong :premises (@p484) :args ((forall @t9 (=> @t8 @t370)))) % 235.21/235.56 (step @p486 :rule trans :premises (@p485 @p483)) % 235.21/235.56 (step @p487 :rule aci_norm :args ((= @t372 @t368))) % 235.21/235.56 (step @p488 :rule cong :premises (@p487) :args (@t373)) % 235.21/235.56 (step @p489 :rule quant-merge-prenex :args ((= (forall @t7 @t375) @t373))) % 235.21/235.56 (step @p490 :rule alpha_equiv :args (@t376 (@list @t362 @t361) (@list @t12 @t377))) % 235.21/235.56 (step @p491 :rule refl :args (@t367)) % 235.21/235.56 (step @p492 :rule nary_cong :premises (@p491 @p490) :args (@t378)) % 235.21/235.56 (step @p493 :rule quant-miniscope-or :args ((= @t375 @t378))) % 235.21/235.56 (step @p494 :rule trans :premises (@p493 @p492)) % 235.21/235.56 (step @p495 :rule symm :premises (@p494)) % 235.21/235.56 (step @p496 :rule cong :premises (@p495) :args ((forall @t7 (or @t367 @t383)))) % 235.21/235.56 (step @p497 :rule trans :premises (@p496 @p489)) % 235.21/235.56 (step @p498 :rule trans :premises (@p497 @p488)) % 235.21/235.56 (step @p499 :rule bool-impl-elim :args (@t6 @t383)) % 235.21/235.56 (step @p500 :rule cong :premises (@p499) :args ((forall @t7 (=> @t6 @t383)))) % 235.21/235.56 (step @p501 :rule trans :premises (@p500 @p498)) % 235.21/235.56 (step @p502 :rule aci_norm :args ((= @t385 @t381))) % 235.21/235.56 (step @p503 :rule cong :premises (@p502) :args (@t386)) % 235.21/235.56 (step @p504 :rule quant-merge-prenex :args ((= (forall @t16 @t388) @t386))) % 235.21/235.56 (step @p505 :rule alpha_equiv :args (@t389 (@list @t377) @t390)) % 235.21/235.56 (step @p506 :rule nary_cong :premises (@p160 @p505) :args (@t391)) % 235.21/235.56 (step @p507 :rule quant-miniscope-or :args ((= @t388 @t391))) % 235.21/235.56 (step @p508 :rule trans :premises (@p507 @p506)) % 235.21/235.56 (step @p509 :rule symm :premises (@p508)) % 235.21/235.56 (step @p510 :rule cong :premises (@p509) :args ((forall @t16 (or @t212 @t392)))) % 235.21/235.56 (step @p511 :rule trans :premises (@p510 @p504)) % 235.21/235.56 (step @p512 :rule trans :premises (@p511 @p503)) % 235.21/235.56 (step @p513 :rule bool-impl-elim :args (@t15 @t392)) % 235.21/235.56 (step @p514 :rule cong :premises (@p513) :args ((forall @t16 (=> @t15 @t392)))) % 235.21/235.56 (step @p515 :rule trans :premises (@p514 @p512)) % 235.21/235.56 (step @p516 :rule bool-impl-elim :args (@t13 @t98)) % 235.21/235.56 (step @p517 :rule cong :premises (@p516) :args (@t99)) % 235.21/235.56 (step @p518 :rule cong :premises (@p264 @p517) :args (@t100)) % 235.21/235.56 (step @p519 :rule cong :premises (@p518) :args (@t101)) % 235.21/235.56 (step @p520 :rule trans :premises (@p519 @p515)) % 235.21/235.56 (step @p521 :rule refl :args (@t6)) % 235.21/235.56 (step @p522 :rule cong :premises (@p521 @p520) :args (@t102)) % 235.21/235.56 (step @p523 :rule cong :premises (@p522) :args (@t103)) % 235.21/235.56 (step @p524 :rule trans :premises (@p523 @p501)) % 235.21/235.56 (step @p525 :rule refl :args (@t8)) % 235.21/235.56 (step @p526 :rule cong :premises (@p525 @p524) :args (@t104)) % 235.21/235.56 (step @p527 :rule cong :premises (@p526) :args (@t105)) % 235.21/235.56 (step @p528 :rule trans :premises (@p527 @p486)) % 235.21/235.56 (step @p529 :rule eq_resolve :premises (@p44 @p528)) % 235.21/235.56 (step @p530 :rule eq-symm :args (@t395 @t396)) % 235.21/235.56 (step @p531 :rule aci_norm :args ((= (and true @t396) @t396))) % 235.21/235.56 (step @p532 :rule refl :args (@t396)) % 235.21/235.56 (step @p533 :rule eq-refl :args (@t327)) % 235.21/235.56 (step @p534 :rule nary_cong :premises (@p533 @p532) :args (@t397)) % 235.21/235.56 (step @p535 :rule trans :premises (@p534 @p531)) % 235.21/235.56 (step @p536 :rule refl :args (@t395)) % 235.21/235.56 (step @p537 :rule cong :premises (@p536 @p535) :args (@t398)) % 235.21/235.56 (step @p538 :rule trans :premises (@p537 @p530)) % 235.21/235.56 (step @p539 :rule refl :args (@t400)) % 235.21/235.56 (step @p540 :rule refl :args (@t342)) % 235.21/235.56 (step @p541 :rule nary_cong :premises (@p540 @p540 @p539 @p336 @p538) :args (@t401)) % 235.21/235.56 (step @p542 :rule refl :args (@t402)) % 235.21/235.56 (step @p543 :rule cong :premises (@p542 @p541) :args ((=> @t402 @t401))) % 235.21/235.56 (assume-push @p1055 @t402) % 235.21/235.56 (step @p545 :rule instantiate :premises (@p529) :args ((@list @t327 @t327 @t393 tptp.nil))) % 235.21/235.56 (step-pop @p1056 :rule scope :premises (@p545)) % 235.21/235.56 (step @p546 :rule process_scope :premises (@p1056) :args (@t401)) % 235.21/235.56 (step @p548 :rule eq_resolve :premises (@p546 @p543)) % 235.21/235.56 (step @p549 :rule implies_elim :premises (@p548)) % 235.21/235.56 (step @p550 :rule chain_m_resolution :premises (@p549 @p529) :args (@t404 @t288 (@list @t402))) % 235.21/235.56 (step @p551 :rule aci_norm :args ((= (or @t177 @t413) @t412))) % 235.21/235.56 (step @p552 :rule bool-impl-elim :args (@t17 @t413)) % 235.21/235.56 (step @p553 :rule trans :premises (@p552 @p551)) % 235.21/235.56 (step @p554 :rule cong :premises (@p553) :args ((forall @t9 (=> @t17 @t413)))) % 235.21/235.56 (step @p555 :rule aci_norm :args ((= @t415 @t409))) % 235.21/235.56 (step @p556 :rule cong :premises (@p555) :args (@t416)) % 235.21/235.56 (step @p557 :rule quant-merge-prenex :args ((= (forall @t7 @t418) @t416))) % 235.21/235.56 (step @p558 :rule alpha_equiv :args (@t419 (@list @t405) @t323)) % 235.21/235.56 (step @p559 :rule nary_cong :premises (@p398 @p558) :args (@t420)) % 235.21/235.56 (step @p560 :rule quant-miniscope-or :args ((= @t418 @t420))) % 235.21/235.56 (step @p561 :rule trans :premises (@p560 @p559)) % 235.21/235.56 (step @p562 :rule symm :premises (@p561)) % 235.21/235.56 (step @p563 :rule cong :premises (@p562) :args ((forall @t7 (or @t199 @t422)))) % 235.21/235.56 (step @p564 :rule trans :premises (@p563 @p557)) % 235.21/235.56 (step @p565 :rule trans :premises (@p564 @p556)) % 235.21/235.56 (step @p566 :rule bool-double-not-elim :args (@t422)) % 235.21/235.56 (step @p567 :rule nary_cong :premises (@p398 @p566) :args ((or @t199 (not @t423)))) % 235.21/235.56 (step @p568 :rule bool-and-de-morgan :args (@t27 @t423 true)) % 235.21/235.56 (step @p569 :rule trans :premises (@p568 @p567)) % 235.21/235.56 (step @p570 :rule cong :premises (@p569) :args (@t425)) % 235.21/235.56 (step @p571 :rule trans :premises (@p570 @p565)) % 235.21/235.56 (step @p572 :rule cong :premises (@p571) :args (@t426)) % 235.21/235.56 (step @p573 :rule exists-elim :args ((= (exists @t7 @t424) @t426))) % 235.21/235.56 (step @p574 :rule trans :premises (@p573 @p572)) % 235.21/235.56 (step @p575 :rule bool-and-de-morgan :args (@t40 @t421 true)) % 235.21/235.56 (step @p576 :rule cong :premises (@p575) :args (@t428)) % 235.21/235.56 (step @p577 :rule cong :premises (@p576) :args (@t429)) % 235.21/235.56 (step @p578 :rule exists-elim :args ((= (exists @t16 @t427) @t429))) % 235.21/235.56 (step @p579 :rule trans :premises (@p578 @p577)) % 235.21/235.56 (step @p580 :rule eq-symm :args (@t54 @t2)) % 235.21/235.56 (step @p581 :rule refl :args (@t40)) % 235.21/235.56 (step @p582 :rule nary_cong :premises (@p581 @p580) :args (@t55)) % 235.21/235.56 (step @p583 :rule cong :premises (@p582) :args (@t56)) % 235.21/235.56 (step @p584 :rule trans :premises (@p583 @p579)) % 235.21/235.56 (step @p585 :rule nary_cong :premises (@p268 @p584) :args (@t57)) % 235.21/235.56 (step @p586 :rule cong :premises (@p585) :args (@t58)) % 235.21/235.56 (step @p587 :rule trans :premises (@p586 @p574)) % 235.21/235.56 (step @p588 :rule nary_cong :premises (@p220 @p587) :args (@t60)) % 235.21/235.56 (step @p589 :rule cong :premises (@p101 @p588) :args (@t61)) % 235.21/235.56 (step @p590 :rule cong :premises (@p589) :args (@t62)) % 235.21/235.56 (step @p591 :rule trans :premises (@p590 @p554)) % 235.21/235.56 (step @p592 :rule eq_resolve :premises (@p20 @p591)) % 235.21/235.56 (step @p593 :rule eq-symm :args (@t238 @t406)) % 235.21/235.56 (step @p594 :rule cong :premises (@p593) :args (@t430)) % 235.21/235.56 (step @p595 :rule refl :args (@t408)) % 235.21/235.56 (step @p596 :rule nary_cong :premises (@p169 @p595 @p594) :args (@t431)) % 235.21/235.56 (step @p597 :rule cong :premises (@p596) :args (@t432)) % 235.21/235.56 (step @p598 :rule cong :premises (@p597) :args (@t433)) % 235.21/235.56 (step @p599 :rule nary_cong :premises (@p286 @p438 @p598) :args (@t434)) % 235.21/235.56 (step @p600 :rule refl :args (@t435)) % 235.21/235.56 (step @p601 :rule cong :premises (@p600 @p599) :args ((=> @t435 @t434))) % 235.21/235.56 (assume-push @p1057 @t435) % 235.21/235.56 (step @p603 :rule instantiate :premises (@p592) :args (@t336)) % 235.21/235.56 (step-pop @p1058 :rule scope :premises (@p603)) % 235.21/235.56 (step @p604 :rule process_scope :premises (@p1058) :args (@t434)) % 235.21/235.56 (step @p606 :rule eq_resolve :premises (@p604 @p601)) % 235.21/235.56 (step @p607 :rule implies_elim :premises (@p606)) % 235.21/235.56 (step @p608 :rule chain_m_resolution :premises (@p607 @p592) :args (@t438 @t288 (@list @t435))) % 235.21/235.56 (step @p609 :rule cnf_or_pos :args (@t438)) % 235.21/235.56 (step @p610 :rule reordering :premises (@p609) :args ((or @t249 @t244 @t437 (not @t438)))) % 235.21/235.56 (step @p611 :rule chain_m_resolution :premises (@p610 @p458 @p452 @p608) :args (@t437 @t338 (@list @t248 @t244 @t438))) % 235.21/235.56 (step @p612 :rule refl :args (@t449)) % 235.21/235.56 (step @p613 :rule bool-double-not-elim :args (@t436)) % 235.21/235.56 (step @p614 :rule nary_cong :premises (@p613 @p612) :args ((or (not @t437) @t449))) % 235.21/235.56 (step @p615 :rule eq-symm :args (@t441 @t238)) % 235.21/235.56 (step @p616 :rule cong :premises (@p615) :args (@t450)) % 235.21/235.56 (step @p617 :rule refl :args (@t445)) % 235.21/235.56 (step @p618 :rule refl :args (@t447)) % 235.21/235.56 (step @p619 :rule nary_cong :premises (@p618 @p617 @p616) :args (@t451)) % 235.21/235.56 (step @p620 :rule cong :premises (@p619) :args (@t452)) % 235.21/235.56 (step @p621 :rule refl :args (@t437)) % 235.21/235.56 (step @p622 :rule cong :premises (@p621 @p620) :args ((=> @t437 @t452))) % 235.21/235.56 (assume-push @p1059 @t437) % 235.21/235.56 (step @p624 :rule skolemize :premises (@p611)) % 235.21/235.56 (step-pop @p1060 :rule scope :premises (@p624)) % 235.21/235.56 (step @p625 :rule process_scope :premises (@p1060) :args (@t452)) % 235.21/235.56 (step @p627 :rule eq_resolve :premises (@p625 @p622)) % 235.21/235.56 (step @p628 :rule implies_elim :premises (@p627)) % 235.21/235.56 (step @p629 :rule eq_resolve :premises (@p628 @p614)) % 235.21/235.56 (step @p630 :rule chain_m_resolution :premises (@p629 @p611) :args (@t449 @t260 (@list @t436))) % 235.21/235.56 (step @p631 :rule bool-double-not-elim :args (@t446)) % 235.21/235.56 (step @p632 :rule refl :args (@t448)) % 235.21/235.56 (step @p633 :rule nary_cong :premises (@p632 @p631) :args ((or @t448 (not @t447)))) % 235.21/235.56 (step @p634 :rule cnf_or_neg :args (@t448 0)) % 235.21/235.56 (step @p635 :rule eq_resolve :premises (@p634 @p633)) % 235.21/235.56 (step @p636 :rule reordering :premises (@p635) :args ((or @t446 @t448))) % 235.21/235.56 (step @p637 :rule chain_m_resolution :premises (@p636 @p630) :args (@t446 @t260 @t453)) % 235.21/235.56 (step @p638 :rule true_intro :premises (@p637)) % 235.21/235.56 (step @p639 :rule aci_norm :args ((= @t458 (or @t177 @t456 @t455)))) % 235.21/235.56 (step @p640 :rule cong :premises (@p639) :args (@t459)) % 235.21/235.56 (step @p641 :rule quant-merge-prenex :args ((= (forall @t9 @t461) @t459))) % 235.21/235.56 (step @p642 :rule alpha_equiv :args (@t462 (@list @t454) @t190)) % 235.21/235.56 (step @p643 :rule nary_cong :premises (@p123 @p642) :args (@t463)) % 235.21/235.56 (step @p644 :rule quant-miniscope-or :args ((= @t461 @t463))) % 235.21/235.56 (step @p645 :rule trans :premises (@p644 @p643)) % 235.21/235.56 (step @p646 :rule symm :premises (@p645)) % 235.21/235.56 (step @p647 :rule cong :premises (@p646) :args ((forall @t9 (or @t177 @t465)))) % 235.21/235.56 (step @p648 :rule trans :premises (@p647 @p641)) % 235.21/235.56 (step @p649 :rule trans :premises (@p648 @p640)) % 235.21/235.56 (step @p650 :rule bool-impl-elim :args (@t17 @t465)) % 235.21/235.56 (step @p651 :rule cong :premises (@p650) :args ((forall @t9 (=> @t17 @t465)))) % 235.21/235.56 (step @p652 :rule trans :premises (@p651 @p649)) % 235.21/235.56 (step @p653 :rule bool-impl-elim :args (@t6 @t464)) % 235.21/235.56 (step @p654 :rule cong :premises (@p653) :args ((forall @t7 (=> @t6 @t464)))) % 235.21/235.56 (step @p655 :rule eq-symm :args (@t70 @t2)) % 235.21/235.56 (step @p656 :rule cong :premises (@p521 @p655) :args (@t71)) % 235.21/235.56 (step @p657 :rule cong :premises (@p656) :args (@t72)) % 235.21/235.56 (step @p658 :rule trans :premises (@p657 @p654)) % 235.21/235.56 (step @p659 :rule cong :premises (@p101 @p658) :args (@t73)) % 235.21/235.56 (step @p660 :rule cong :premises (@p659) :args (@t74)) % 235.21/235.56 (step @p661 :rule trans :premises (@p660 @p652)) % 235.21/235.56 (step @p662 :rule eq_resolve :premises (@p25 @p661)) % 235.21/235.56 (step @p663 :rule instantiate :premises (@p662) :args ((@list @t439 @t440))) % 235.21/235.56 (step @p664 :rule bool-double-not-elim :args (@t444)) % 235.21/235.56 (step @p665 :rule nary_cong :premises (@p632 @p664) :args ((or @t448 (not @t445)))) % 235.21/235.56 (step @p666 :rule cnf_or_neg :args (@t448 1)) % 235.21/235.56 (step @p667 :rule eq_resolve :premises (@p666 @p665)) % 235.21/235.56 (step @p668 :rule reordering :premises (@p667) :args ((or @t444 @t448))) % 235.21/235.56 (step @p669 :rule chain_m_resolution :premises (@p668 @p630) :args (@t444 @t260 @t453)) % 235.21/235.56 (step @p670 :rule cnf_or_pos :args (@t467)) % 235.21/235.56 (step @p671 :rule reordering :premises (@p670) :args ((or @t447 @t445 @t466 (not @t467)))) % 235.21/235.56 (step @p672 :rule chain_m_resolution :premises (@p671 @p637 @p669 @p663) :args (@t466 @t290 (@list @t446 @t444 @t467))) % 235.21/235.56 (step @p673 :rule symm :premises (@p672)) % 235.21/235.56 (step @p674 :rule bool-double-not-elim :args (@t442)) % 235.21/235.56 (step @p675 :rule nary_cong :premises (@p632 @p674) :args ((or @t448 (not @t443)))) % 235.21/235.56 (step @p676 :rule cnf_or_neg :args (@t448 2)) % 235.21/235.56 (step @p677 :rule eq_resolve :premises (@p676 @p675)) % 235.21/235.56 (step @p678 :rule reordering :premises (@p677) :args ((or @t442 @t448))) % 235.21/235.56 (step @p679 :rule chain_m_resolution :premises (@p678 @p630) :args (@t442 @t260 @t453)) % 235.21/235.56 (step @p680 :rule cong :premises (@p679) :args (@t393)) % 235.21/235.56 (step @p681 :rule trans :premises (@p680 @p673)) % 235.21/235.56 (step @p682 :rule cong :premises (@p681) :args (@t399)) % 235.21/235.56 (step @p683 :rule trans :premises (@p682 @p638)) % 235.21/235.56 (step @p684 :rule true_elim :premises (@p683)) % 235.21/235.56 (step @p685 :rule cnf_or_pos :args (@t404)) % 235.21/235.56 (step @p686 :rule factoring :premises (@p685)) % 235.21/235.56 (step @p687 :rule reordering :premises (@p686) :args ((or @t283 @t342 @t400 @t403 (not @t404)))) % 235.21/235.56 (step @p688 :rule chain_m_resolution :premises (@p687 @p17 @p461 @p684 @p550) :args (@t403 @t296 (@list @t52 @t332 @t399 @t404))) % 235.21/235.56 (step @p689 :rule bool-impl-elim :args (@t17 @t106)) % 235.21/235.56 (step @p690 :rule cong :premises (@p689) :args (@t107)) % 235.21/235.56 (step @p691 :rule eq_resolve :premises (@p45 @p690)) % 235.21/235.56 (step @p692 :rule instantiate :premises (@p691) :args ((@list @t439))) % 235.21/235.56 (step @p693 :rule cnf_or_pos :args (@t469)) % 235.21/235.56 (step @p694 :rule reordering :premises (@p693) :args ((or @t447 @t468 (not @t469)))) % 235.21/235.56 (step @p695 :rule chain_m_resolution :premises (@p694 @p637 @p692) :args (@t468 @t265 (@list @t446 @t469))) % 235.21/235.56 (step @p696 :rule true_intro :premises (@p695)) % 235.21/235.56 (step @p697 :rule refl :args (tptp.nil)) % 235.21/235.56 (step @p698 :rule cong :premises (@p681 @p697) :args (@t396)) % 235.21/235.56 (step @p699 :rule trans :premises (@p698 @p696)) % 235.21/235.56 (step @p700 :rule true_elim :premises (@p699)) % 235.21/235.56 (step @p701 :rule cnf_equiv_pos1 :args (@t403)) % 235.21/235.56 (step @p702 :rule reordering :premises (@p701) :args ((or (not @t396) @t395 (not @t403)))) % 235.21/235.56 (step @p703 :rule chain_m_resolution :premises (@p702 @p700 @p688) :args (@t395 @t265 (@list @t396 @t403))) % 235.21/235.56 (step @p704 :rule true_intro :premises (@p703)) % 235.21/235.56 (step @p705 :rule refl :args (@t344)) % 235.21/235.56 (step @p706 :rule aci_norm :args ((= (or @t177 (or @t170 @t470)) @t471))) % 235.21/235.56 (step @p707 :rule refl :args (@t470)) % 235.21/235.56 (step @p708 :rule nary_cong :premises (@p421 @p707) :args ((or @t330 @t470))) % 235.21/235.56 (step @p709 :rule bool-impl-elim :args (@t329 @t470)) % 235.21/235.56 (step @p710 :rule trans :premises (@p709 @p708)) % 235.21/235.56 (step @p711 :rule nary_cong :premises (@p123 @p710) :args ((or @t177 @t472))) % 235.21/235.56 (step @p712 :rule trans :premises (@p711 @p706)) % 235.21/235.56 (step @p713 :rule bool-impl-elim :args (@t17 @t472)) % 235.21/235.56 (step @p714 :rule trans :premises (@p713 @p712)) % 235.21/235.56 (step @p715 :rule cong :premises (@p714) :args ((forall @t9 (=> @t17 @t472)))) % 235.21/235.56 (step @p716 :rule eq-symm :args (@t128 @t2)) % 235.21/235.56 (step @p717 :rule cong :premises (@p431 @p716) :args (@t129)) % 235.21/235.56 (step @p718 :rule cong :premises (@p101 @p717) :args (@t130)) % 235.21/235.56 (step @p719 :rule cong :premises (@p718) :args (@t131)) % 235.21/235.56 (step @p720 :rule trans :premises (@p719 @p715)) % 235.21/235.56 (step @p721 :rule eq_resolve :premises (@p78 @p720)) % 235.21/235.56 (step @p722 :rule refl :args (@t473)) % 235.21/235.56 (step @p723 :rule nary_cong :premises (@p286 @p438 @p722) :args (@t474)) % 235.21/235.56 (step @p724 :rule refl :args (@t475)) % 235.21/235.56 (step @p725 :rule cong :premises (@p724 @p723) :args ((=> @t475 @t474))) % 235.21/235.56 (assume-push @p1061 @t475) % 235.21/235.56 (step @p727 :rule instantiate :premises (@p721) :args (@t336)) % 235.21/235.56 (step-pop @p1062 :rule scope :premises (@p727)) % 235.21/235.56 (step @p728 :rule process_scope :premises (@p1062) :args (@t474)) % 235.21/235.56 (step @p730 :rule eq_resolve :premises (@p728 @p725)) % 235.21/235.56 (step @p731 :rule implies_elim :premises (@p730)) % 235.21/235.56 (step @p732 :rule chain_m_resolution :premises (@p731 @p721) :args (@t476 @t288 (@list @t475))) % 235.21/235.56 (step @p733 :rule cnf_or_pos :args (@t476)) % 235.21/235.56 (step @p734 :rule reordering :premises (@p733) :args ((or @t249 @t244 @t473 (not @t476)))) % 235.21/235.56 (step @p735 :rule chain_m_resolution :premises (@p734 @p458 @p452 @p732) :args (@t473 @t338 (@list @t248 @t244 @t476))) % 235.21/235.56 (step @p736 :rule cong :premises (@p735 @p705) :args (@t477)) % 235.21/235.56 (step @p737 :rule trans :premises (@p736 @p704)) % 235.21/235.56 (step @p738 :rule true_elim :premises (@p737)) % 235.21/235.56 (step @p739 :rule eq-symm :args (@t478 @t480)) % 235.21/235.56 (step @p740 :rule refl :args (@t482)) % 235.21/235.56 (step @p741 :rule nary_cong :premises (@p288 @p740 @p739) :args (@t483)) % 235.21/235.56 (step @p742 :rule cong :premises (@p338 @p741) :args ((=> @t285 @t483))) % 235.21/235.56 (assume-push @p1063 @t285) % 235.21/235.56 (step @p744 :rule instantiate :premises (@p330) :args ((@list @t180 @t344))) % 235.21/235.56 (step-pop @p1064 :rule scope :premises (@p744)) % 235.21/235.56 (step @p745 :rule process_scope :premises (@p1064) :args (@t483)) % 235.21/235.56 (step @p747 :rule eq_resolve :premises (@p745 @p742)) % 235.21/235.56 (step @p748 :rule implies_elim :premises (@p747)) % 235.21/235.56 (step @p749 :rule chain_m_resolution :premises (@p748 @p330) :args (@t485 @t288 @t289)) % 235.21/235.56 (step @p750 :rule aci_norm :args ((= @t490 (or @t177 @t488 @t487)))) % 235.21/235.56 (step @p751 :rule cong :premises (@p750) :args (@t491)) % 235.21/235.56 (step @p752 :rule quant-merge-prenex :args ((= (forall @t9 @t493) @t491))) % 235.21/235.56 (step @p753 :rule alpha_equiv :args (@t494 (@list @t486) @t190)) % 235.21/235.56 (step @p754 :rule nary_cong :premises (@p123 @p753) :args (@t495)) % 235.21/235.56 (step @p755 :rule quant-miniscope-or :args ((= @t493 @t495))) % 235.21/235.56 (step @p756 :rule trans :premises (@p755 @p754)) % 235.21/235.56 (step @p757 :rule symm :premises (@p756)) % 235.21/235.56 (step @p758 :rule cong :premises (@p757) :args ((forall @t9 (or @t177 @t496)))) % 235.21/235.56 (step @p759 :rule trans :premises (@p758 @p752)) % 235.21/235.56 (step @p760 :rule trans :premises (@p759 @p751)) % 235.21/235.56 (step @p761 :rule bool-impl-elim :args (@t17 @t496)) % 235.21/235.56 (step @p762 :rule cong :premises (@p761) :args ((forall @t9 (=> @t17 @t496)))) % 235.21/235.56 (step @p763 :rule trans :premises (@p762 @p760)) % 235.21/235.56 (step @p764 :rule bool-impl-elim :args (@t6 @t48)) % 235.21/235.56 (step @p765 :rule cong :premises (@p764) :args (@t49)) % 235.21/235.56 (step @p766 :rule cong :premises (@p101 @p765) :args (@t50)) % 235.21/235.56 (step @p767 :rule cong :premises (@p766) :args (@t51)) % 235.21/235.56 (step @p768 :rule trans :premises (@p767 @p763)) % 235.21/235.56 (step @p769 :rule eq_resolve :premises (@p16 @p768)) % 235.21/235.56 (step @p770 :rule instantiate :premises (@p769) :args ((@list tptp.nil @t327))) % 235.21/235.56 (step @p771 :rule cnf_or_pos :args (@t497)) % 235.21/235.56 (step @p772 :rule reordering :premises (@p771) :args ((or @t283 @t342 @t481 (not @t497)))) % 235.21/235.56 (step @p773 :rule chain_m_resolution :premises (@p772 @p17 @p461 @p770) :args (@t481 @t290 (@list @t52 @t332 @t497))) % 235.21/235.56 (step @p774 :rule cnf_or_pos :args (@t485)) % 235.21/235.56 (step @p775 :rule reordering :premises (@p774) :args ((or @t252 @t482 @t484 (not @t485)))) % 235.21/235.56 (step @p776 :rule chain_m_resolution :premises (@p775 @p307 @p773 @p749) :args (@t484 @t290 (@list @t251 @t481 @t485))) % 235.21/235.56 (step @p777 :rule bool-impl-elim :args (@t17 @t499)) % 235.21/235.56 (step @p778 :rule cong :premises (@p777) :args ((forall @t9 (=> @t17 @t499)))) % 235.21/235.56 (step @p779 :rule bool-and-de-morgan :args (@t6 @t498 true)) % 235.21/235.56 (step @p780 :rule cong :premises (@p779) :args (@t501)) % 235.21/235.56 (step @p781 :rule cong :premises (@p780) :args (@t502)) % 235.21/235.56 (step @p782 :rule exists-elim :args ((= (exists @t7 @t500) @t502))) % 235.21/235.56 (step @p783 :rule trans :premises (@p782 @p781)) % 235.21/235.56 (step @p784 :rule eq-symm :args (@t18 @t2)) % 235.21/235.56 (step @p785 :rule nary_cong :premises (@p521 @p784) :args (@t19)) % 235.21/235.56 (step @p786 :rule cong :premises (@p785) :args (@t20)) % 235.21/235.56 (step @p787 :rule trans :premises (@p786 @p783)) % 235.21/235.56 (step @p788 :rule refl :args (@t21)) % 235.21/235.56 (step @p789 :rule cong :premises (@p788 @p787) :args (@t22)) % 235.21/235.56 (step @p790 :rule cong :premises (@p101 @p789) :args (@t23)) % 235.21/235.56 (step @p791 :rule cong :premises (@p790) :args (@t24)) % 235.21/235.56 (step @p792 :rule trans :premises (@p791 @p778)) % 235.21/235.56 (step @p793 :rule eq_resolve :premises (@p4 @p792)) % 235.21/235.56 (step @p794 :rule eq-symm :args (@t180 @t18)) % 235.21/235.56 (step @p795 :rule cong :premises (@p794) :args (@t503)) % 235.21/235.56 (step @p796 :rule refl :args (@t367)) % 235.21/235.56 (step @p797 :rule nary_cong :premises (@p796 @p795) :args (@t504)) % 235.21/235.56 (step @p798 :rule cong :premises (@p797) :args (@t505)) % 235.21/235.56 (step @p799 :rule cong :premises (@p798) :args (@t506)) % 235.21/235.56 (step @p800 :rule refl :args (@t507)) % 235.21/235.56 (step @p801 :rule cong :premises (@p800 @p799) :args (@t508)) % 235.21/235.56 (step @p802 :rule nary_cong :premises (@p288 @p801) :args (@t509)) % 235.21/235.56 (step @p803 :rule refl :args (@t510)) % 235.21/235.56 (step @p804 :rule cong :premises (@p803 @p802) :args ((=> @t510 @t509))) % 235.21/235.56 (assume-push @p1065 @t510) % 235.21/235.56 (step @p806 :rule instantiate :premises (@p793) :args (@t181)) % 235.21/235.56 (step-pop @p1066 :rule scope :premises (@p806)) % 235.21/235.56 (step @p807 :rule process_scope :premises (@p1066) :args (@t509)) % 235.21/235.56 (step @p809 :rule eq_resolve :premises (@p807 @p804)) % 235.21/235.56 (step @p810 :rule implies_elim :premises (@p809)) % 235.21/235.56 (step @p811 :rule chain_m_resolution :premises (@p810 @p793) :args (@t514 @t288 (@list @t510))) % 235.21/235.56 (step @p812 :rule cnf_or_pos :args (@t514)) % 235.21/235.56 (step @p813 :rule reordering :premises (@p812) :args ((or @t252 @t513 (not @t514)))) % 235.21/235.56 (step @p814 :rule chain_m_resolution :premises (@p813 @p307 @p811) :args (@t513 @t265 (@list @t251 @t514))) % 235.21/235.56 (step @p815 :rule refl :args (@t515)) % 235.21/235.56 (step @p816 :rule refl :args (@t280)) % 235.21/235.56 (step @p817 :rule bool-double-not-elim :args (@t91)) % 235.21/235.56 (step @p818 :rule nary_cong :premises (@p817 @p816 @p815) :args ((or (not @t92) @t280 @t515))) % 235.21/235.56 (assume-push @p1067 @t507) % 235.21/235.56 (assume-push @p1068 @t243) % 235.21/235.56 (assume-push @p1069 @t92) % 235.21/235.56 (step @p822 :rule evaluate :args (@t516)) % 235.21/235.56 (step @p823 :rule true_intro :premises (@p1067)) % 235.21/235.56 (step @p824 :rule cong :premises (@p379) :args (@t91)) % 235.21/235.56 (step @p825 :rule false_intro :premises (@p39)) % 235.21/235.56 (step @p826 :rule symm :premises (@p825)) % 235.21/235.56 (step @p827 :rule trans :premises (@p826 @p824 @p823)) % 235.21/235.56 (step @p828 false :rule eq_resolve :premises (@p827 @p822)) % 235.21/235.56 (step-pop @p1070 :rule scope :premises (@p828)) % 235.21/235.56 (step-pop @p1071 :rule scope :premises (@p1070)) % 235.21/235.56 (step-pop @p1072 :rule scope :premises (@p1071)) % 235.21/235.56 (step @p829 :rule process_scope :premises (@p1072) :args (false)) % 235.21/235.56 (assume-push @p1073 @t92) % 235.21/235.56 (assume-push @p1074 @t243) % 235.21/235.56 (assume-push @p1075 @t507) % 235.21/235.56 (step @p836 :rule and_intro :premises (@p1075 @p379 @p39)) % 235.21/235.56 (step-pop @p1076 :rule scope :premises (@p836)) % 235.21/235.56 (step-pop @p1077 :rule scope :premises (@p1076)) % 235.21/235.56 (step-pop @p1078 :rule scope :premises (@p1077)) % 235.21/235.56 (step @p837 :rule process_scope :premises (@p1078) :args (@t517)) % 235.21/235.56 (step @p841 :rule implies_elim :premises (@p837)) % 235.21/235.56 (step @p842 :rule resolution :premises (@p841 @p829) :args (true @t517)) % 235.21/235.56 (step @p843 :rule not_and :premises (@p842)) % 235.21/235.56 (step @p844 :rule eq_resolve :premises (@p843 @p818)) % 235.21/235.56 (step @p845 :rule chain_m_resolution :premises (@p844 @p39 @p379) :args (@t515 @t298 (@list @t91 @t243))) % 235.21/235.56 (step @p846 :rule bool-double-not-elim :args (@t511)) % 235.21/235.56 (step @p847 :rule refl :args (@t518)) % 235.21/235.56 (step @p848 :rule nary_cong :premises (@p847 @p800 @p846) :args ((or @t518 @t507 (not @t512)))) % 235.21/235.56 (step @p849 :rule cnf_equiv_pos2 :args (@t513)) % 235.21/235.56 (step @p850 :rule eq_resolve :premises (@p849 @p848)) % 235.21/235.56 (step @p851 :rule reordering :premises (@p850) :args ((or @t507 @t511 @t518))) % 235.21/235.56 (step @p852 :rule chain_m_resolution :premises (@p851 @p845 @p814) :args (@t511 @t298 (@list @t507 @t513))) % 235.21/235.56 (step @p853 :rule eq-symm :args (@t344 @t180)) % 235.21/235.56 (step @p854 :rule cong :premises (@p853) :args (@t519)) % 235.21/235.56 (step @p855 :rule nary_cong :premises (@p540 @p854) :args (@t520)) % 235.21/235.56 (step @p856 :rule refl :args (@t511)) % 235.21/235.56 (step @p857 :rule cong :premises (@p856 @p855) :args ((=> @t511 @t520))) % 235.21/235.56 (assume-push @p1079 @t511) % 235.21/235.56 (step @p859 :rule instantiate :premises (@p1079) :args (@t521)) % 235.21/235.56 (step-pop @p1080 :rule scope :premises (@p859)) % 235.21/235.56 (step @p860 :rule process_scope :premises (@p1080) :args (@t520)) % 235.21/235.56 (step @p862 :rule eq_resolve :premises (@p860 @p857)) % 235.21/235.56 (step @p863 :rule implies_elim :premises (@p862)) % 235.21/235.56 (step @p864 :rule chain_m_resolution :premises (@p863 @p852) :args (@t522 @t288 (@list @t511))) % 235.21/235.56 (step @p865 :rule cnf_or_pos :args (@t522)) % 235.21/235.56 (step @p866 :rule reordering :premises (@p865) :args ((or @t342 @t480 (not @t522)))) % 235.21/235.56 (step @p867 :rule chain_m_resolution :premises (@p866 @p461 @p864) :args (@t480 @t265 (@list @t332 @t522))) % 235.21/235.56 (step @p868 :rule refl :args (@t478)) % 235.21/235.56 (step @p869 :rule bool-double-not-elim :args (@t479)) % 235.21/235.56 (step @p870 :rule refl :args (@t523)) % 235.21/235.56 (step @p871 :rule nary_cong :premises (@p870 @p869 @p868) :args ((or @t523 (not @t480) @t478))) % 235.21/235.56 (step @p872 :rule cnf_equiv_pos1 :args (@t484)) % 235.21/235.56 (step @p873 :rule eq_resolve :premises (@p872 @p871)) % 235.21/235.56 (step @p874 :rule reordering :premises (@p873) :args ((or @t479 @t478 @t523))) % 235.21/235.56 (step @p875 :rule chain_m_resolution :premises (@p874 @p867 @p776) :args (@t478 @t298 (@list @t479 @t484))) % 235.21/235.56 (step @p876 :rule bool-impl-elim :args (@t8 @t126)) % 235.21/235.56 (step @p877 :rule cong :premises (@p876) :args (@t127)) % 235.21/235.56 (step @p878 :rule eq_resolve :premises (@p68 @p877)) % 235.21/235.56 (step @p879 :rule instantiate :premises (@p878) :args (@t521)) % 235.21/235.56 (step @p880 :rule cnf_or_pos :args (@t525)) % 235.21/235.56 (step @p881 :rule reordering :premises (@p880) :args ((or @t342 @t524 (not @t525)))) % 235.21/235.56 (step @p882 :rule chain_m_resolution :premises (@p881 @p461 @p879) :args (@t524 @t265 (@list @t332 @t525))) % 235.21/235.56 (step @p883 :rule cnf_or_pos :args (@t531)) % 235.21/235.56 (step @p884 :rule reordering :premises (@p883) :args ((or @t526 @t482 @t530 @t529 @t528 (not @t531)))) % 235.21/235.56 (step @p885 :rule chain_m_resolution :premises (@p884 @p882 @p773 @p875 @p738 @p471) :args (@t528 @t532 (@list @t524 @t481 @t478 @t477 @t531))) % 235.21/235.56 (step @p886 :rule aci_norm :args ((= @t542 (or @t177 @t540 @t539 @t538 @t537 @t536)))) % 235.21/235.56 (step @p887 :rule cong :premises (@p886) :args (@t543)) % 235.21/235.56 (step @p888 :rule quant-merge-prenex :args ((= (forall @t9 @t545) @t543))) % 235.21/235.56 (step @p889 :rule alpha_equiv :args (@t546 (@list @t533 @t535 @t534) (@list @t1 @t548 @t547))) % 235.21/235.56 (step @p890 :rule nary_cong :premises (@p123 @p889) :args (@t549)) % 235.21/235.56 (step @p891 :rule quant-miniscope-or :args ((= @t545 @t549))) % 235.21/235.56 (step @p892 :rule trans :premises (@p891 @p890)) % 235.21/235.56 (step @p893 :rule symm :premises (@p892)) % 235.21/235.56 (step @p894 :rule cong :premises (@p893) :args ((forall @t9 (or @t177 @t556)))) % 235.21/235.56 (step @p895 :rule trans :premises (@p894 @p888)) % 235.21/235.56 (step @p896 :rule trans :premises (@p895 @p887)) % 235.21/235.56 (step @p897 :rule bool-impl-elim :args (@t17 @t556)) % 235.21/235.56 (step @p898 :rule cong :premises (@p897) :args ((forall @t9 (=> @t17 @t556)))) % 235.21/235.56 (step @p899 :rule trans :premises (@p898 @p896)) % 235.21/235.56 (step @p900 :rule aci_norm :args ((= @t558 @t554))) % 235.21/235.56 (step @p901 :rule cong :premises (@p900) :args (@t559)) % 235.21/235.56 (step @p902 :rule quant-merge-prenex :args ((= (forall @t7 @t561) @t559))) % 235.21/235.56 (step @p903 :rule alpha_equiv :args (@t562 (@list @t548 @t547) (@list @t12 @t563))) % 235.21/235.56 (step @p904 :rule refl :args (@t553)) % 235.21/235.56 (step @p905 :rule nary_cong :premises (@p398 @p904 @p903) :args (@t564)) % 235.21/235.56 (step @p906 :rule quant-miniscope-or :args ((= @t561 @t564))) % 235.21/235.56 (step @p907 :rule trans :premises (@p906 @p905)) % 235.21/235.56 (step @p908 :rule symm :premises (@p907)) % 235.21/235.56 (step @p909 :rule cong :premises (@p908) :args ((forall @t7 @t570))) % 235.21/235.56 (step @p910 :rule trans :premises (@p909 @p902)) % 235.21/235.56 (step @p911 :rule trans :premises (@p910 @p901)) % 235.21/235.56 (step @p912 :rule aci_norm :args ((= (or @t199 @t571) @t570))) % 235.21/235.56 (step @p913 :rule bool-impl-elim :args (@t27 @t571)) % 235.21/235.56 (step @p914 :rule trans :premises (@p913 @p912)) % 235.21/235.56 (step @p915 :rule cong :premises (@p914) :args ((forall @t7 (=> @t27 @t571)))) % 235.21/235.56 (step @p916 :rule trans :premises (@p915 @p911)) % 235.21/235.56 (step @p917 :rule aci_norm :args ((= @t573 @t567))) % 235.21/235.56 (step @p918 :rule cong :premises (@p917) :args (@t574)) % 235.21/235.56 (step @p919 :rule quant-merge-prenex :args ((= (forall @t16 @t576) @t574))) % 235.21/235.56 (step @p920 :rule alpha_equiv :args (@t577 (@list @t563) @t390)) % 235.21/235.56 (step @p921 :rule nary_cong :premises (@p160 @p920) :args (@t578)) % 235.21/235.56 (step @p922 :rule quant-miniscope-or :args ((= @t576 @t578))) % 235.21/235.56 (step @p923 :rule trans :premises (@p922 @p921)) % 235.21/235.56 (step @p924 :rule symm :premises (@p923)) % 235.21/235.56 (step @p925 :rule cong :premises (@p924) :args (@t582)) % 235.21/235.56 (step @p926 :rule trans :premises (@p925 @p919)) % 235.21/235.56 (step @p927 :rule trans :premises (@p926 @p918)) % 235.21/235.56 (step @p928 :rule refl :args (@t553)) % 235.21/235.56 (step @p929 :rule nary_cong :premises (@p928 @p927) :args (@t583)) % 235.21/235.56 (step @p930 :rule quant-miniscope-or :args ((= (forall @t16 @t584) @t583))) % 235.21/235.56 (step @p931 :rule aci_norm :args ((= @t585 @t584))) % 235.21/235.56 (step @p932 :rule cong :premises (@p931) :args ((forall @t16 @t585))) % 235.21/235.56 (step @p933 :rule trans :premises (@p932 @p930)) % 235.21/235.56 (step @p934 :rule trans :premises (@p933 @p929)) % 235.21/235.56 (step @p935 :rule aci_norm :args ((= (or @t212 @t586) @t585))) % 235.21/235.56 (step @p936 :rule bool-impl-elim :args (@t15 @t586)) % 235.21/235.56 (step @p937 :rule trans :premises (@p936 @p935)) % 235.21/235.56 (step @p938 :rule cong :premises (@p937) :args ((forall @t16 (=> @t15 @t586)))) % 235.21/235.56 (step @p939 :rule trans :premises (@p938 @p934)) % 235.21/235.56 (step @p940 :rule quant-miniscope-or :args ((= (forall @t14 @t587) @t586))) % 235.21/235.56 (step @p941 :rule aci_norm :args ((= @t588 @t587))) % 235.21/235.56 (step @p942 :rule cong :premises (@p941) :args ((forall @t14 @t588))) % 235.21/235.56 (step @p943 :rule trans :premises (@p942 @p940)) % 235.21/235.56 (step @p944 :rule aci_norm :args ((= (or @t226 (or @t553 @t109)) @t588))) % 235.21/235.56 (step @p945 :rule bool-impl-elim :args (@t30 @t109)) % 235.21/235.56 (step @p946 :rule nary_cong :premises (@p197 @p945) :args ((or @t226 @t110))) % 235.21/235.56 (step @p947 :rule trans :premises (@p946 @p944)) % 235.21/235.56 (step @p948 :rule bool-impl-elim :args (@t13 @t110)) % 235.21/235.56 (step @p949 :rule trans :premises (@p948 @p947)) % 235.21/235.56 (step @p950 :rule cong :premises (@p949) :args (@t111)) % 235.21/235.56 (step @p951 :rule trans :premises (@p950 @p943)) % 235.21/235.56 (step @p952 :rule cong :premises (@p264 @p951) :args (@t112)) % 235.21/235.56 (step @p953 :rule cong :premises (@p952) :args (@t113)) % 235.21/235.56 (step @p954 :rule trans :premises (@p953 @p939)) % 235.21/235.56 (step @p955 :rule cong :premises (@p268 @p954) :args (@t114)) % 235.21/235.56 (step @p956 :rule cong :premises (@p955) :args (@t115)) % 235.21/235.56 (step @p957 :rule trans :premises (@p956 @p916)) % 235.21/235.56 (step @p958 :rule cong :premises (@p101 @p957) :args (@t116)) % 235.21/235.56 (step @p959 :rule cong :premises (@p958) :args (@t117)) % 235.21/235.56 (step @p960 :rule trans :premises (@p959 @p899)) % 235.21/235.56 (step @p961 :rule eq_resolve :premises (@p56 @p960)) % 235.21/235.56 (step @p962 :rule instantiate :premises (@p961) :args ((@list tptp.nil @t180 @t344 tptp.nil))) % 235.21/235.56 (step @p963 :rule bool-impl-elim :args (@t17 @t589)) % 235.21/235.56 (step @p964 :rule cong :premises (@p963) :args ((forall @t9 (=> @t17 @t589)))) % 235.21/235.56 (step @p965 :rule eq-symm :args (@t170 @t118)) % 235.21/235.56 (step @p966 :rule refl :args (@t118)) % 235.21/235.56 (step @p967 :rule cong :premises (@p220 @p966) :args ((= @t59 @t118))) % 235.21/235.56 (step @p968 :rule trans :premises (@p967 @p965)) % 235.21/235.56 (step @p969 :rule eq-symm :args (@t118 @t59)) % 235.21/235.56 (step @p970 :rule trans :premises (@p969 @p968)) % 235.21/235.56 (step @p971 :rule cong :premises (@p101 @p970) :args (@t119)) % 235.21/235.56 (step @p972 :rule cong :premises (@p971) :args (@t120)) % 235.21/235.56 (step @p973 :rule trans :premises (@p972 @p964)) % 235.21/235.56 (step @p974 :rule eq_resolve :premises (@p58 @p973)) % 235.21/235.56 (step @p975 :rule refl :args (@t590)) % 235.21/235.56 (step @p976 :rule cong :premises (@p282 @p975) :args ((= @t256 @t590))) % 235.21/235.56 (step @p977 :rule eq-symm :args (@t590 @t256)) % 235.21/235.56 (step @p978 :rule trans :premises (@p977 @p976)) % 235.21/235.56 (step @p979 :rule nary_cong :premises (@p288 @p978) :args (@t591)) % 235.21/235.56 (step @p980 :rule refl :args (@t592)) % 235.21/235.56 (step @p981 :rule cong :premises (@p980 @p979) :args ((=> @t592 @t591))) % 235.21/235.56 (assume-push @p1081 @t592) % 235.21/235.56 (step @p983 :rule instantiate :premises (@p974) :args (@t181)) % 235.21/235.56 (step-pop @p1082 :rule scope :premises (@p983)) % 235.21/235.56 (step @p984 :rule process_scope :premises (@p1082) :args (@t591)) % 235.21/235.56 (step @p986 :rule eq_resolve :premises (@p984 @p981)) % 235.21/235.56 (step @p987 :rule implies_elim :premises (@p986)) % 235.21/235.56 (step @p988 :rule chain_m_resolution :premises (@p987 @p974) :args (@t594 @t288 (@list @t592))) % 235.21/235.56 (step @p989 :rule cnf_or_pos :args (@t594)) % 235.21/235.56 (step @p990 :rule reordering :premises (@p989) :args ((or @t252 @t593 (not @t594)))) % 235.21/235.56 (step @p991 :rule chain_m_resolution :premises (@p990 @p307 @p988) :args (@t593 @t265 (@list @t251 @t594))) % 235.21/235.56 (step @p992 :rule cnf_equiv_pos1 :args (@t593)) % 235.21/235.56 (step @p993 :rule reordering :premises (@p992) :args ((or @t280 @t590 (not @t593)))) % 235.21/235.56 (step @p994 :rule chain_m_resolution :premises (@p993 @p379 @p991) :args (@t590 @t265 (@list @t243 @t593))) % 235.21/235.56 (step @p995 :rule cnf_or_pos :args (@t598)) % 235.21/235.56 (step @p996 :rule factoring :premises (@p995)) % 235.21/235.56 (step @p997 :rule reordering :premises (@p996) :args ((or @t283 @t252 @t597 @t482 @t596 (not @t598)))) % 235.21/235.56 (step @p998 :rule chain_m_resolution :premises (@p997 @p17 @p307 @p994 @p773 @p962) :args (@t596 @t532 (@list @t52 @t251 @t590 @t481 @t598))) % 235.21/235.56 (step @p999 :rule refl :args (@t599)) % 235.21/235.56 (step @p1000 :rule bool-double-not-elim :args (@t527)) % 235.21/235.56 (step @p1001 :rule refl :args (@t600)) % 235.21/235.56 (step @p1002 :rule refl :args (@t601)) % 235.21/235.56 (step @p1003 :rule nary_cong :premises (@p816 @p1002 @p1001 @p1000 @p999) :args ((or @t280 @t601 @t600 (not @t528) @t599))) % 235.21/235.56 (assume-push @p1083 @t596) % 235.21/235.56 (assume-push @p1084 @t243) % 235.21/235.56 (assume-push @p1085 @t341) % 235.21/235.56 (assume-push @p1086 @t263) % 235.21/235.56 (assume-push @p1087 @t528) % 235.21/235.56 (step @p822 :rule evaluate :args (@t516)) % 235.21/235.56 (step @p1009 :rule true_intro :premises (@p998)) % 235.21/235.56 (step @p1010 :rule refl :args (@t180)) % 235.21/235.56 (step @p1011 :rule symm :premises (@p379)) % 235.21/235.56 (step @p1012 :rule refl :args (@t327)) % 235.21/235.56 (step @p1013 :rule cong :premises (@p1012 @p1011) :args (@t339)) % 235.21/235.56 (step @p1014 :rule cong :premises (@p1013 @p697) :args (@t340)) % 235.21/235.56 (step @p1015 :rule trans :premises (@p379 @p310)) % 235.21/235.56 (step @p1016 :rule cong :premises (@p1012 @p1015) :args (@t344)) % 235.21/235.56 (step @p1017 :rule trans :premises (@p1016 @p464 @p1014)) % 235.21/235.56 (step @p1018 :rule cong :premises (@p1017 @p697) :args (@t595)) % 235.21/235.56 (step @p1019 :rule trans :premises (@p1016 @p464 @p1014 @p1018)) % 235.21/235.56 (step @p1020 :rule cong :premises (@p1019 @p1010) :args (@t527)) % 235.21/235.56 (step @p1021 :rule false_intro :premises (@p1087)) % 235.21/235.56 (step @p1022 :rule symm :premises (@p1021)) % 235.21/235.56 (step @p1023 :rule trans :premises (@p1022 @p1020 @p1009)) % 235.21/235.56 (step @p1024 false :rule eq_resolve :premises (@p1023 @p822)) % 235.21/235.56 (step-pop @p1088 :rule scope :premises (@p1024)) % 235.21/235.56 (step-pop @p1089 :rule scope :premises (@p1088)) % 235.21/235.56 (step-pop @p1090 :rule scope :premises (@p1089)) % 235.21/235.56 (step-pop @p1091 :rule scope :premises (@p1090)) % 235.21/235.56 (step-pop @p1092 :rule scope :premises (@p1091)) % 235.21/235.56 (step @p1025 :rule process_scope :premises (@p1092) :args (false)) % 235.21/235.56 (assume-push @p1093 @t243) % 235.21/235.56 (assume-push @p1094 @t263) % 235.21/235.56 (assume-push @p1095 @t341) % 235.21/235.56 (assume-push @p1096 @t528) % 235.21/235.56 (assume-push @p1097 @t596) % 235.21/235.56 (step @p1036 :rule and_intro :premises (@p998 @p379 @p464 @p310 @p1096)) % 235.21/235.56 (step-pop @p1098 :rule scope :premises (@p1036)) % 235.21/235.56 (step-pop @p1099 :rule scope :premises (@p1098)) % 235.21/235.56 (step-pop @p1100 :rule scope :premises (@p1099)) % 235.21/235.56 (step-pop @p1101 :rule scope :premises (@p1100)) % 235.21/235.56 (step-pop @p1102 :rule scope :premises (@p1101)) % 235.21/235.56 (step @p1037 :rule process_scope :premises (@p1102) :args (@t602)) % 235.21/235.56 (step @p1043 :rule implies_elim :premises (@p1037)) % 235.21/235.56 (step @p1044 :rule resolution :premises (@p1043 @p1025) :args (true @t602)) % 235.21/235.56 (step @p1045 :rule not_and :premises (@p1044)) % 235.21/235.56 (step @p1046 :rule eq_resolve :premises (@p1045 @p1003)) % 235.21/235.56 (step @p1047 :rule reordering :premises (@p1046) :args ((or @t280 @t601 @t527 @t600 @t599))) % 235.21/235.56 (step @p1048 false :rule chain_m_resolution :premises (@p1047 @p998 @p885 @p464 @p379 @p310) :args (false (@list false true false false false) (@list @t596 @t527 @t341 @t243 @t263))) % 235.21/235.56 ) % 235.21/235.56 % SZS output end Proof % 235.21/235.56 % cvc5 exiting %------------------------------------------------------------------------------