%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC111+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 : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:05 AM UTC 2026 % Result : Theorem 236.11s 236.39s % Output : Proof 233.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC111+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:15:43 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 236.11/236.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 236.11/236.39 --- Run --no-e-matching --full-saturate-quant at 6... % 236.11/236.39 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 236.11/236.39 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 236.11/236.39 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 236.11/236.39 --- Run --trigger-sel=max --full-saturate-quant at 15... % 236.11/236.39 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 236.11/236.39 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 236.11/236.39 --- Run --prenex-quant=none --full-saturate-quant at 30... % 236.11/236.39 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 236.11/236.39 --- Run --relevant-triggers --full-saturate-quant at 30... % 236.11/236.39 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 236.11/236.39 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 236.11/236.39 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 236.11/236.39 % SZS status Theorem % 236.11/236.39 % SZS output start Proof % 236.11/236.39 ( % 236.11/236.39 (declare-sort $$unsorted 0) % 236.11/236.39 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 236.11/236.39 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 236.11/236.39 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 236.11/236.39 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 236.11/236.39 (declare-const tptp.nil $$unsorted) % 236.11/236.39 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.ssList (-> $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 236.11/236.39 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 236.11/236.39 (define @t1 () (@var "V" $$unsorted)) % 236.11/236.39 (define @t2 () (@var "U" $$unsorted)) % 236.11/236.39 (define @t3 () (= @t2 @t1)) % 236.11/236.39 (define @t4 () (not @t3)) % 236.11/236.39 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 236.11/236.39 (define @t6 () (tptp.ssItem @t1)) % 236.11/236.39 (define @t7 () (@list @t1)) % 236.11/236.39 (define @t8 () (tptp.ssItem @t2)) % 236.11/236.39 (define @t9 () (@list @t2)) % 236.11/236.39 (define @t10 () (@var "X" $$unsorted)) % 236.11/236.39 (define @t11 () (tptp.cons @t1 @t10)) % 236.11/236.39 (define @t12 () (@var "W" $$unsorted)) % 236.11/236.39 (define @t13 () (tptp.ssList @t10)) % 236.11/236.39 (define @t14 () (@list @t10)) % 236.11/236.39 (define @t15 () (tptp.ssList @t12)) % 236.11/236.39 (define @t16 () (@list @t12)) % 236.11/236.39 (define @t17 () (tptp.ssList @t2)) % 236.11/236.39 (define @t18 () (tptp.cons @t1 tptp.nil)) % 236.11/236.39 (define @t19 () (and @t6 (= @t18 @t2))) % 236.11/236.39 (define @t20 () (exists @t7 @t19)) % 236.11/236.39 (define @t21 () (tptp.singletonP @t2)) % 236.11/236.39 (define @t22 () (= @t21 @t20)) % 236.11/236.39 (define @t23 () (=> @t17 @t22)) % 236.11/236.39 (define @t24 () (forall @t9 @t23)) % 236.11/236.39 (define @t25 () (tptp.app @t1 @t12)) % 236.11/236.39 (define @t26 () (tptp.frontsegP @t2 @t1)) % 236.11/236.39 (define @t27 () (tptp.ssList @t1)) % 236.11/236.39 (define @t28 () (tptp.app @t12 @t1)) % 236.11/236.39 (define @t29 () (tptp.rearsegP @t2 @t1)) % 236.11/236.39 (define @t30 () (tptp.segmentP @t2 @t1)) % 236.11/236.39 (define @t31 () (tptp.leq @t12 @t1)) % 236.11/236.39 (define @t32 () (tptp.leq @t1 @t12)) % 236.11/236.39 (define @t33 () (@var "Z" $$unsorted)) % 236.11/236.39 (define @t34 () (@var "Y" $$unsorted)) % 236.11/236.39 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 236.11/236.39 (define @t36 () (tptp.ssList @t33)) % 236.11/236.39 (define @t37 () (@list @t33)) % 236.11/236.39 (define @t38 () (tptp.ssList @t34)) % 236.11/236.39 (define @t39 () (@list @t34)) % 236.11/236.39 (define @t40 () (tptp.ssItem @t12)) % 236.11/236.39 (define @t41 () (tptp.lt @t1 @t12)) % 236.11/236.39 (define @t42 () (tptp.totalorderedP @t2)) % 236.11/236.39 (define @t43 () (= @t1 @t12)) % 236.11/236.39 (define @t44 () (forall @t7 (=> @t27 @t5))) % 236.11/236.39 (define @t45 () (=> @t17 @t44)) % 236.11/236.39 (define @t46 () (forall @t9 @t45)) % 236.11/236.39 (define @t47 () (tptp.cons @t1 @t2)) % 236.11/236.39 (define @t48 () (tptp.ssList @t47)) % 236.11/236.39 (define @t49 () (forall @t7 (=> @t6 @t48))) % 236.11/236.39 (define @t50 () (=> @t17 @t49)) % 236.11/236.39 (define @t51 () (forall @t9 @t50)) % 236.11/236.39 (define @t52 () (tptp.ssList tptp.nil)) % 236.11/236.39 (define @t53 () (= @t1 @t2)) % 236.11/236.39 (define @t54 () (tptp.cons @t12 @t1)) % 236.11/236.39 (define @t55 () (and @t40 (= @t54 @t2))) % 236.11/236.39 (define @t56 () (exists @t16 @t55)) % 236.11/236.39 (define @t57 () (and @t27 @t56)) % 236.11/236.39 (define @t58 () (exists @t7 @t57)) % 236.11/236.39 (define @t59 () (= tptp.nil @t2)) % 236.11/236.39 (define @t60 () (or @t59 @t58)) % 236.11/236.39 (define @t61 () (=> @t17 @t60)) % 236.11/236.39 (define @t62 () (forall @t9 @t61)) % 236.11/236.39 (define @t63 () (tptp.hd @t2)) % 236.11/236.39 (define @t64 () (tptp.ssItem @t63)) % 236.11/236.39 (define @t65 () (not @t59)) % 236.11/236.39 (define @t66 () (=> @t65 @t64)) % 236.11/236.39 (define @t67 () (=> @t17 @t66)) % 236.11/236.39 (define @t68 () (forall @t9 @t67)) % 236.11/236.39 (define @t69 () (tptp.tl @t2)) % 236.11/236.39 (define @t70 () (tptp.tl @t47)) % 236.11/236.39 (define @t71 () (=> @t6 (= @t70 @t2))) % 236.11/236.39 (define @t72 () (forall @t7 @t71)) % 236.11/236.39 (define @t73 () (=> @t17 @t72)) % 236.11/236.39 (define @t74 () (forall @t9 @t73)) % 236.11/236.39 (define @t75 () (tptp.app @t2 @t1)) % 236.11/236.39 (define @t76 () (tptp.app @t1 @t2)) % 236.11/236.39 (define @t77 () (tptp.app tptp.nil @t2)) % 236.11/236.39 (define @t78 () (=> @t17 (= @t77 @t2))) % 236.11/236.39 (define @t79 () (forall @t9 @t78)) % 236.11/236.39 (define @t80 () (tptp.leq @t1 @t2)) % 236.11/236.39 (define @t81 () (tptp.leq @t2 @t1)) % 236.11/236.39 (define @t82 () (tptp.geq @t2 @t1)) % 236.11/236.39 (define @t83 () (tptp.lt @t1 @t2)) % 236.11/236.39 (define @t84 () (tptp.lt @t2 @t1)) % 236.11/236.39 (define @t85 () (tptp.lt @t2 @t12)) % 236.11/236.39 (define @t86 () (tptp.gt @t2 @t1)) % 236.11/236.39 (define @t87 () (tptp.memberP @t12 @t2)) % 236.11/236.39 (define @t88 () (tptp.singletonP tptp.nil)) % 236.11/236.39 (define @t89 () (tptp.app @t12 @t2)) % 236.11/236.39 (define @t90 () (tptp.segmentP @t1 @t12)) % 236.11/236.39 (define @t91 () (tptp.segmentP @t1 @t2)) % 236.11/236.39 (define @t92 () (tptp.segmentP @t2 @t2)) % 236.11/236.39 (define @t93 () (forall @t9 (=> @t17 @t92))) % 236.11/236.39 (define @t94 () (tptp.segmentP (tptp.app @t89 @t10) @t1)) % 236.11/236.39 (define @t95 () (=> @t30 @t94)) % 236.11/236.39 (define @t96 () (forall @t14 (=> @t13 @t95))) % 236.11/236.39 (define @t97 () (=> @t15 @t96)) % 236.11/236.39 (define @t98 () (forall @t16 @t97)) % 236.11/236.39 (define @t99 () (=> @t27 @t98)) % 236.11/236.39 (define @t100 () (forall @t7 @t99)) % 236.11/236.39 (define @t101 () (=> @t17 @t100)) % 236.11/236.39 (define @t102 () (forall @t9 @t101)) % 236.11/236.39 (define @t103 () (tptp.segmentP tptp.nil @t2)) % 236.11/236.39 (define @t104 () (=> @t17 (= @t103 @t59))) % 236.11/236.39 (define @t105 () (forall @t9 @t104)) % 236.11/236.39 (define @t106 () (tptp.cons @t2 tptp.nil)) % 236.11/236.39 (define @t107 () (tptp.totalorderedP @t106)) % 236.11/236.39 (define @t108 () (forall @t9 (=> @t8 @t107))) % 236.11/236.39 (define @t109 () (tptp.hd @t1)) % 236.11/236.39 (define @t110 () (= tptp.nil @t1)) % 236.11/236.39 (define @t111 () (not @t110)) % 236.11/236.39 (define @t112 () (tptp.cons @t2 @t1)) % 236.11/236.39 (define @t113 () (tptp.cons @t63 @t69)) % 236.11/236.39 (define @t114 () (=> @t65 (= @t113 @t2))) % 236.11/236.39 (define @t115 () (=> @t17 @t114)) % 236.11/236.39 (define @t116 () (forall @t9 @t115)) % 236.11/236.39 (define @t117 () (= @t12 @t2)) % 236.11/236.39 (define @t118 () (= @t47 (tptp.app @t18 @t2))) % 236.11/236.39 (define @t119 () (forall @t7 (=> @t6 @t118))) % 236.11/236.39 (define @t120 () (=> @t17 @t119)) % 236.11/236.39 (define @t121 () (forall @t9 @t120)) % 236.11/236.39 (define @t122 () (tptp.neq @t2 tptp.nil)) % 236.11/236.39 (define @t123 () (or (not (tptp.neq @t1 tptp.nil)) (and @t122 @t91))) % 236.11/236.39 (define @t124 () (or @t111 @t59)) % 236.11/236.39 (define @t125 () (and @t124 @t123)) % 236.11/236.39 (define @t126 () (tptp.totalorderedP @t34)) % 236.11/236.39 (define @t127 () (tptp.segmentP @t34 @t12)) % 236.11/236.39 (define @t128 () (tptp.segmentP @t10 @t34)) % 236.11/236.39 (define @t129 () (tptp.neq @t12 @t34)) % 236.11/236.39 (define @t130 () (and @t38 @t129 @t128 @t127 @t126)) % 236.11/236.39 (define @t131 () (exists @t39 @t130)) % 236.11/236.39 (define @t132 () (not (tptp.totalorderedP @t12))) % 236.11/236.39 (define @t133 () (not (tptp.segmentP @t10 @t12))) % 236.11/236.39 (define @t134 () (not (= @t2 @t12))) % 236.11/236.39 (define @t135 () (not (= @t1 @t10))) % 236.11/236.39 (define @t136 () (or @t135 @t134 @t133 @t132 @t131 @t125)) % 236.11/236.39 (define @t137 () (=> @t13 @t136)) % 236.11/236.39 (define @t138 () (forall @t14 @t137)) % 236.11/236.39 (define @t139 () (=> @t15 @t138)) % 236.11/236.39 (define @t140 () (forall @t16 @t139)) % 236.11/236.39 (define @t141 () (=> @t27 @t140)) % 236.11/236.39 (define @t142 () (forall @t7 @t141)) % 236.11/236.39 (define @t143 () (=> @t17 @t142)) % 236.11/236.39 (define @t144 () (forall @t9 @t143)) % 236.11/236.39 (define @t145 () (not @t144)) % 236.11/236.39 (define @t146 () (not @t126)) % 236.11/236.39 (define @t147 () (not (tptp.segmentP @t34 @t2))) % 236.11/236.39 (define @t148 () (@var "BOUND_VARIABLE_10989" $$unsorted)) % 236.11/236.39 (define @t149 () (not (tptp.neq @t2 @t34))) % 236.11/236.39 (define @t150 () (not @t38)) % 236.11/236.39 (define @t151 () (not (forall @t39 (or @t150 @t149 (not (tptp.segmentP @t148 @t34)) @t147 @t146)))) % 236.11/236.39 (define @t152 () (tptp.segmentP @t148 @t2)) % 236.11/236.39 (define @t153 () (not @t152)) % 236.11/236.39 (define @t154 () (or (not (tptp.neq @t148 tptp.nil)) (and @t122 @t152))) % 236.11/236.39 (define @t155 () (= @t2 tptp.nil)) % 236.11/236.39 (define @t156 () (not (= @t148 tptp.nil))) % 236.11/236.39 (define @t157 () (or @t156 @t155)) % 236.11/236.39 (define @t158 () (and @t157 @t154)) % 236.11/236.39 (define @t159 () (not (tptp.ssList @t148))) % 236.11/236.39 (define @t160 () (not @t42)) % 236.11/236.39 (define @t161 () (not @t17)) % 236.11/236.39 (define @t162 () (or @t161 @t160 @t159 @t158 @t153 @t151)) % 236.11/236.39 (define @t163 () (or @t159 @t158 @t153 @t151)) % 236.11/236.39 (define @t164 () (or @t161 @t160 @t163)) % 236.11/236.39 (define @t165 () (@list @t2 @t148)) % 236.11/236.39 (define @t166 () (forall @t165 @t164)) % 236.11/236.39 (define @t167 () (@list @t148)) % 236.11/236.39 (define @t168 () (forall @t167 @t164)) % 236.11/236.39 (define @t169 () (forall @t167 @t163)) % 236.11/236.39 (define @t170 () (@list @t1)) % 236.11/236.39 (define @t171 () (or @t161 @t160 @t169)) % 236.11/236.39 (define @t172 () (not (tptp.segmentP @t1 @t34))) % 236.11/236.39 (define @t173 () (not (forall @t39 (or @t150 @t149 @t172 @t147 @t146)))) % 236.11/236.39 (define @t174 () (not @t91)) % 236.11/236.39 (define @t175 () (and (or (not (= @t1 tptp.nil)) @t155) @t123)) % 236.11/236.39 (define @t176 () (not @t27)) % 236.11/236.39 (define @t177 () (or @t176 @t175 @t174 @t173)) % 236.11/236.39 (define @t178 () (or @t161 @t160 (forall @t7 @t177))) % 236.11/236.39 (define @t179 () (or @t161 @t160 @t177)) % 236.11/236.39 (define @t180 () (or @t176 @t175 @t161 @t160 @t174 @t173)) % 236.11/236.39 (define @t181 () (or @t175 @t176 @t161 @t160 @t174 @t173)) % 236.11/236.39 (define @t182 () (or @t161 @t160 @t174 @t173)) % 236.11/236.39 (define @t183 () (not (= @t2 @t2))) % 236.11/236.39 (define @t184 () (or @t161 @t183 @t160 @t174 @t173)) % 236.11/236.39 (define @t185 () (not @t127)) % 236.11/236.39 (define @t186 () (not @t129)) % 236.11/236.39 (define @t187 () (not (forall @t39 (or @t150 @t186 @t172 @t185 @t146)))) % 236.11/236.39 (define @t188 () (not @t90)) % 236.11/236.39 (define @t189 () (not @t15)) % 236.11/236.39 (define @t190 () (or @t134 @t189 @t134 @t132 @t188 @t187)) % 236.11/236.39 (define @t191 () (or @t189 @t134 @t132 @t188 @t187)) % 236.11/236.39 (define @t192 () (forall @t16 @t191)) % 236.11/236.39 (define @t193 () (or @t175 @t176 @t192)) % 236.11/236.39 (define @t194 () (or @t175 @t176 @t191)) % 236.11/236.39 (define @t195 () (or @t189 @t134 @t132 @t175 @t176 @t188 @t187)) % 236.11/236.39 (define @t196 () (or @t134 @t132 @t175 @t176 @t188 @t187)) % 236.11/236.39 (define @t197 () (or @t176 @t188 @t187)) % 236.11/236.39 (define @t198 () (not (= @t1 @t1))) % 236.11/236.39 (define @t199 () (or @t176 @t198 @t188 @t187)) % 236.11/236.39 (define @t200 () (not @t128)) % 236.11/236.39 (define @t201 () (or @t150 @t186 @t200 @t185 @t146)) % 236.11/236.39 (define @t202 () (not (forall @t39 @t201))) % 236.11/236.39 (define @t203 () (not @t13)) % 236.11/236.39 (define @t204 () (or @t135 @t203 @t135 @t133 @t202)) % 236.11/236.39 (define @t205 () (or @t203 @t135 @t133 @t202)) % 236.11/236.39 (define @t206 () (forall @t14 @t205)) % 236.11/236.39 (define @t207 () (or @t134 @t132 @t175 @t206)) % 236.11/236.39 (define @t208 () (or @t134 @t132 @t175 @t205)) % 236.11/236.39 (define @t209 () (or @t203 @t135 @t134 @t133 @t132 @t202 @t175)) % 236.11/236.39 (define @t210 () (or @t135 @t134 @t133 @t132 @t202 @t175)) % 236.11/236.39 (define @t211 () (forall @t39 (not @t130))) % 236.11/236.39 (define @t212 () (not @t211)) % 236.11/236.39 (define @t213 () (forall @t165 (or @t161 @t160 @t159 (and (or (not (= tptp.nil @t148)) @t155) @t154) @t153 @t151))) % 236.11/236.39 (define @t214 () (@quantifiers_skolemize @t213 0)) % 236.11/236.39 (define @t215 () (@quantifiers_skolemize @t213 1)) % 236.11/236.39 (define @t216 () (forall @t39 (or @t150 (not (tptp.neq @t214 @t34)) (not (tptp.segmentP @t215 @t34)) (not (tptp.segmentP @t34 @t214)) @t146))) % 236.11/236.39 (define @t217 () (not @t216)) % 236.11/236.39 (define @t218 () (tptp.segmentP @t215 @t214)) % 236.11/236.39 (define @t219 () (not @t218)) % 236.11/236.39 (define @t220 () (tptp.neq @t214 tptp.nil)) % 236.11/236.39 (define @t221 () (and @t220 @t218)) % 236.11/236.39 (define @t222 () (tptp.neq @t215 tptp.nil)) % 236.11/236.39 (define @t223 () (not @t222)) % 236.11/236.39 (define @t224 () (or @t223 @t221)) % 236.11/236.39 (define @t225 () (= tptp.nil @t214)) % 236.11/236.39 (define @t226 () (= tptp.nil @t215)) % 236.11/236.39 (define @t227 () (not @t226)) % 236.11/236.39 (define @t228 () (or @t227 @t225)) % 236.11/236.39 (define @t229 () (and @t228 @t224)) % 236.11/236.39 (define @t230 () (tptp.ssList @t215)) % 236.11/236.39 (define @t231 () (not @t230)) % 236.11/236.39 (define @t232 () (not (tptp.totalorderedP @t214))) % 236.11/236.39 (define @t233 () (tptp.ssList @t214)) % 236.11/236.39 (define @t234 () (not @t233)) % 236.11/236.39 (define @t235 () (or @t234 @t232 @t231 @t229 @t219 @t217)) % 236.11/236.39 (define @t236 () (not @t235)) % 236.11/236.39 (define @t237 () (not @t213)) % 236.11/236.39 (define @t238 () (= @t214 tptp.nil)) % 236.11/236.39 (define @t239 () (or @t227 @t238)) % 236.11/236.39 (define @t240 () (and @t239 @t224)) % 236.11/236.39 (define @t241 () (or @t234 @t232 @t231 @t240 @t219 @t217)) % 236.11/236.39 (define @t242 () (not @t241)) % 236.11/236.39 (define @t243 () (@list true)) % 236.11/236.39 (define @t244 () (@list @t235)) % 236.11/236.39 (define @t245 () (= @t103 @t155)) % 236.11/236.39 (define @t246 () (tptp.segmentP tptp.nil @t214)) % 236.11/236.39 (define @t247 () (or @t234 (= @t246 @t238))) % 236.11/236.39 (define @t248 () (forall @t9 (or @t161 @t245))) % 236.11/236.39 (define @t249 () (= @t225 @t246)) % 236.11/236.39 (define @t250 () (or @t234 @t249)) % 236.11/236.39 (define @t251 () (@list false)) % 236.11/236.39 (define @t252 () (@list false false)) % 236.11/236.39 (define @t253 () (not @t249)) % 236.11/236.39 (define @t254 () (not @t225)) % 236.11/236.39 (define @t255 () (= @t2 @t18)) % 236.11/236.39 (define @t256 () (not @t6)) % 236.11/236.39 (define @t257 () (= @t21 (not (forall @t7 (or @t256 (not @t255)))))) % 236.11/236.39 (define @t258 () (and @t6 @t255)) % 236.11/236.39 (define @t259 () (forall @t7 (not @t258))) % 236.11/236.39 (define @t260 () (not @t259)) % 236.11/236.39 (define @t261 () (@list tptp.nil)) % 236.11/236.39 (define @t262 () (forall @t7 (or @t256 (not (= tptp.nil @t18))))) % 236.11/236.39 (define @t263 () (not @t262)) % 236.11/236.39 (define @t264 () (= @t88 @t263)) % 236.11/236.39 (define @t265 () (not @t52)) % 236.11/236.39 (define @t266 () (or @t265 @t264)) % 236.11/236.39 (define @t267 () (not @t264)) % 236.11/236.39 (define @t268 () (@list true false)) % 236.11/236.39 (define @t269 () (tptp.hd @t215)) % 236.11/236.39 (define @t270 () (@list @t269)) % 236.11/236.39 (define @t271 () (or @t161 @t155 @t64)) % 236.11/236.39 (define @t272 () (not @t155)) % 236.11/236.39 (define @t273 () (not @t272)) % 236.11/236.39 (define @t274 () (=> @t272 @t64)) % 236.11/236.39 (define @t275 () (tptp.ssItem @t269)) % 236.11/236.39 (define @t276 () (= @t215 tptp.nil)) % 236.11/236.39 (define @t277 () (or @t231 @t276 @t275)) % 236.11/236.39 (define @t278 () (forall @t9 @t271)) % 236.11/236.39 (define @t279 () (@list @t215)) % 236.11/236.39 (define @t280 () (or @t231 @t226 @t275)) % 236.11/236.39 (define @t281 () (and @t226 @t218)) % 236.11/236.39 (define @t282 () (not @t246)) % 236.11/236.39 (define @t283 () (not @t220)) % 236.11/236.39 (define @t284 () (and @t226 @t222 @t225)) % 236.11/236.39 (define @t285 () (@list false true false)) % 236.11/236.39 (define @t286 () (tptp.cons @t269 tptp.nil)) % 236.11/236.39 (define @t287 () (= tptp.nil @t286)) % 236.11/236.39 (define @t288 () (not @t287)) % 236.11/236.39 (define @t289 () (not @t275)) % 236.11/236.39 (define @t290 () (or @t289 @t288)) % 236.11/236.39 (define @t291 () (= @t214 @t286)) % 236.11/236.39 (define @t292 () (not @t291)) % 236.11/236.39 (define @t293 () (and @t225 @t288)) % 236.11/236.39 (define @t294 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 236.11/236.39 (define @t295 () (tptp.ssList (tptp.cons @t294 @t2))) % 236.11/236.39 (define @t296 () (not (tptp.ssItem @t294))) % 236.11/236.39 (define @t297 () (or @t296 @t295)) % 236.11/236.39 (define @t298 () (or @t161 @t297)) % 236.11/236.39 (define @t299 () (forall (@list @t2 @t294) @t298)) % 236.11/236.39 (define @t300 () (@list @t294)) % 236.11/236.39 (define @t301 () (forall @t300 @t298)) % 236.11/236.39 (define @t302 () (forall @t300 @t297)) % 236.11/236.39 (define @t303 () (or @t161 @t302)) % 236.11/236.39 (define @t304 () (forall @t7 (or @t256 @t48))) % 236.11/236.39 (define @t305 () (tptp.ssList @t286)) % 236.11/236.39 (define @t306 () (or @t265 @t289 @t305)) % 236.11/236.39 (define @t307 () (@list false false false)) % 236.11/236.39 (define @t308 () (@var "BOUND_VARIABLE_10203" $$unsorted)) % 236.11/236.39 (define @t309 () (@var "BOUND_VARIABLE_10207" $$unsorted)) % 236.11/236.39 (define @t310 () (@var "BOUND_VARIABLE_10205" $$unsorted)) % 236.11/236.39 (define @t311 () (tptp.segmentP (tptp.app (tptp.app @t310 @t2) @t309) @t308)) % 236.11/236.39 (define @t312 () (not (tptp.ssList @t309))) % 236.11/236.39 (define @t313 () (not (tptp.ssList @t310))) % 236.11/236.39 (define @t314 () (not (tptp.segmentP @t2 @t308))) % 236.11/236.39 (define @t315 () (not (tptp.ssList @t308))) % 236.11/236.39 (define @t316 () (or @t315 @t314 @t313 @t312 @t311)) % 236.11/236.39 (define @t317 () (or @t161 @t316)) % 236.11/236.39 (define @t318 () (forall (@list @t2 @t308 @t310 @t309) @t317)) % 236.11/236.39 (define @t319 () (@list @t308 @t310 @t309)) % 236.11/236.39 (define @t320 () (forall @t319 @t317)) % 236.11/236.39 (define @t321 () (forall @t319 @t316)) % 236.11/236.39 (define @t322 () (@var "BOUND_VARIABLE_10184" $$unsorted)) % 236.11/236.39 (define @t323 () (@var "BOUND_VARIABLE_10182" $$unsorted)) % 236.11/236.39 (define @t324 () (or @t161 @t321)) % 236.11/236.39 (define @t325 () (tptp.segmentP (tptp.app (tptp.app @t323 @t2) @t322) @t1)) % 236.11/236.39 (define @t326 () (not (tptp.ssList @t322))) % 236.11/236.39 (define @t327 () (not (tptp.ssList @t323))) % 236.11/236.39 (define @t328 () (not @t30)) % 236.11/236.39 (define @t329 () (or @t176 @t328 @t327 @t326 @t325)) % 236.11/236.39 (define @t330 () (@list @t1 @t323 @t322)) % 236.11/236.39 (define @t331 () (forall @t330 @t329)) % 236.11/236.39 (define @t332 () (or @t327 @t326 @t325)) % 236.11/236.39 (define @t333 () (or @t176 @t328 @t332)) % 236.11/236.39 (define @t334 () (forall @t330 @t333)) % 236.11/236.39 (define @t335 () (@list @t323 @t322)) % 236.11/236.39 (define @t336 () (forall @t335 @t333)) % 236.11/236.39 (define @t337 () (forall @t335 @t332)) % 236.11/236.39 (define @t338 () (@var "BOUND_VARIABLE_10165" $$unsorted)) % 236.11/236.39 (define @t339 () (or @t176 @t328 @t337)) % 236.11/236.39 (define @t340 () (tptp.segmentP (tptp.app @t89 @t338) @t1)) % 236.11/236.39 (define @t341 () (not (tptp.ssList @t338))) % 236.11/236.39 (define @t342 () (or @t189 @t341 @t340)) % 236.11/236.39 (define @t343 () (@list @t12 @t338)) % 236.11/236.39 (define @t344 () (forall @t343 @t342)) % 236.11/236.39 (define @t345 () (or @t176 @t328 @t344)) % 236.11/236.39 (define @t346 () (or @t328 @t344)) % 236.11/236.39 (define @t347 () (or @t341 @t340)) % 236.11/236.39 (define @t348 () (or @t189 @t347)) % 236.11/236.39 (define @t349 () (forall @t343 @t348)) % 236.11/236.39 (define @t350 () (@list @t338)) % 236.11/236.39 (define @t351 () (forall @t350 @t348)) % 236.11/236.39 (define @t352 () (forall @t350 @t347)) % 236.11/236.39 (define @t353 () (or @t189 @t352)) % 236.11/236.39 (define @t354 () (or @t203 @t94)) % 236.11/236.39 (define @t355 () (forall @t14 @t354)) % 236.11/236.39 (define @t356 () (or @t189 @t355)) % 236.11/236.39 (define @t357 () (forall @t16 @t356)) % 236.11/236.39 (define @t358 () (or @t328 @t357)) % 236.11/236.39 (define @t359 () (or @t328 @t356)) % 236.11/236.39 (define @t360 () (or @t189 @t328 @t355)) % 236.11/236.39 (define @t361 () (or @t328 @t355)) % 236.11/236.39 (define @t362 () (or @t328 @t354)) % 236.11/236.39 (define @t363 () (or @t203 @t328 @t94)) % 236.11/236.39 (define @t364 () (tptp.app tptp.nil tptp.nil)) % 236.11/236.39 (define @t365 () (tptp.segmentP (tptp.app @t364 @t286) @t214)) % 236.11/236.39 (define @t366 () (not @t305)) % 236.11/236.39 (define @t367 () (or @t265 @t234 @t282 @t265 @t366 @t365)) % 236.11/236.39 (define @t368 () (@var "BOUND_VARIABLE_9104" $$unsorted)) % 236.11/236.39 (define @t369 () (= (tptp.neq @t2 @t368) (not (= @t2 @t368)))) % 236.11/236.39 (define @t370 () (not (tptp.ssList @t368))) % 236.11/236.39 (define @t371 () (or @t161 @t370 @t369)) % 236.11/236.39 (define @t372 () (or @t370 @t369)) % 236.11/236.39 (define @t373 () (or @t161 @t372)) % 236.11/236.39 (define @t374 () (@list @t2 @t368)) % 236.11/236.39 (define @t375 () (forall @t374 @t373)) % 236.11/236.39 (define @t376 () (@list @t368)) % 236.11/236.39 (define @t377 () (forall @t376 @t373)) % 236.11/236.39 (define @t378 () (forall @t376 @t372)) % 236.11/236.39 (define @t379 () (or @t161 @t378)) % 236.11/236.39 (define @t380 () (forall @t7 (or @t176 @t5))) % 236.11/236.39 (define @t381 () (tptp.neq @t214 @t286)) % 236.11/236.39 (define @t382 () (= @t381 @t292)) % 236.11/236.39 (define @t383 () (or @t234 @t366 @t382)) % 236.11/236.39 (define @t384 () (not @t382)) % 236.11/236.39 (define @t385 () (tptp.totalorderedP @t286)) % 236.11/236.39 (define @t386 () (or @t289 @t385)) % 236.11/236.39 (define @t387 () (@list @t286)) % 236.11/236.39 (define @t388 () (tptp.tl @t215)) % 236.11/236.39 (define @t389 () (tptp.segmentP @t286 @t286)) % 236.11/236.39 (define @t390 () (or @t366 @t389)) % 236.11/236.39 (define @t391 () (@var "BOUND_VARIABLE_9349" $$unsorted)) % 236.11/236.39 (define @t392 () (= @t2 (tptp.tl (tptp.cons @t391 @t2)))) % 236.11/236.39 (define @t393 () (not (tptp.ssItem @t391))) % 236.11/236.39 (define @t394 () (or @t393 @t392)) % 236.11/236.39 (define @t395 () (or @t161 @t394)) % 236.11/236.39 (define @t396 () (forall (@list @t2 @t391) @t395)) % 236.11/236.39 (define @t397 () (@list @t391)) % 236.11/236.39 (define @t398 () (forall @t397 @t395)) % 236.11/236.39 (define @t399 () (forall @t397 @t394)) % 236.11/236.39 (define @t400 () (or @t161 @t399)) % 236.11/236.39 (define @t401 () (= @t2 @t70)) % 236.11/236.39 (define @t402 () (forall @t7 (or @t256 @t401))) % 236.11/236.39 (define @t403 () (@var "BOUND_VARIABLE_9262" $$unsorted)) % 236.11/236.39 (define @t404 () (tptp.cons @t403 @t1)) % 236.11/236.39 (define @t405 () (not (tptp.ssItem @t403))) % 236.11/236.39 (define @t406 () (@list @t1 @t403)) % 236.11/236.39 (define @t407 () (forall @t406 (or @t176 @t405 (not (= @t404 @t215))))) % 236.11/236.39 (define @t408 () (@quantifiers_skolemize @t407 1)) % 236.11/236.39 (define @t409 () (@quantifiers_skolemize @t407 0)) % 236.11/236.39 (define @t410 () (not (= @t2 @t404))) % 236.11/236.39 (define @t411 () (or @t176 @t405 @t410)) % 236.11/236.39 (define @t412 () (not (forall @t406 @t411))) % 236.11/236.39 (define @t413 () (or @t161 @t155 @t412)) % 236.11/236.39 (define @t414 () (or @t155 @t412)) % 236.11/236.39 (define @t415 () (or @t405 @t410)) % 236.11/236.39 (define @t416 () (or @t176 @t415)) % 236.11/236.39 (define @t417 () (forall @t406 @t416)) % 236.11/236.39 (define @t418 () (@list @t403)) % 236.11/236.39 (define @t419 () (forall @t418 @t416)) % 236.11/236.39 (define @t420 () (forall @t418 @t415)) % 236.11/236.39 (define @t421 () (or @t176 @t420)) % 236.11/236.39 (define @t422 () (= @t2 @t54)) % 236.11/236.39 (define @t423 () (forall @t16 (or (not @t40) (not @t422)))) % 236.11/236.39 (define @t424 () (not @t423)) % 236.11/236.39 (define @t425 () (and @t27 @t424)) % 236.11/236.39 (define @t426 () (forall @t7 (not @t425))) % 236.11/236.39 (define @t427 () (not @t426)) % 236.11/236.39 (define @t428 () (and @t40 @t422)) % 236.11/236.39 (define @t429 () (forall @t16 (not @t428))) % 236.11/236.39 (define @t430 () (not @t429)) % 236.11/236.39 (define @t431 () (not (= @t215 @t404))) % 236.11/236.39 (define @t432 () (or @t176 @t405 @t431)) % 236.11/236.39 (define @t433 () (forall @t406 @t432)) % 236.11/236.39 (define @t434 () (not @t433)) % 236.11/236.39 (define @t435 () (or @t231 @t276 @t434)) % 236.11/236.39 (define @t436 () (forall @t9 @t413)) % 236.11/236.39 (define @t437 () (not @t407)) % 236.11/236.39 (define @t438 () (or @t231 @t226 @t437)) % 236.11/236.39 (define @t439 () (tptp.cons @t408 @t409)) % 236.11/236.39 (define @t440 () (= @t215 @t439)) % 236.11/236.39 (define @t441 () (not @t440)) % 236.11/236.39 (define @t442 () (tptp.ssItem @t408)) % 236.11/236.39 (define @t443 () (not @t442)) % 236.11/236.39 (define @t444 () (tptp.ssList @t409)) % 236.11/236.39 (define @t445 () (not @t444)) % 236.11/236.39 (define @t446 () (or @t445 @t443 @t441)) % 236.11/236.39 (define @t447 () (not @t446)) % 236.11/236.39 (define @t448 () (not (= @t439 @t215))) % 236.11/236.39 (define @t449 () (or @t445 @t443 @t448)) % 236.11/236.39 (define @t450 () (not @t449)) % 236.11/236.39 (define @t451 () (@list @t446)) % 236.11/236.39 (define @t452 () (= @t409 (tptp.tl @t439))) % 236.11/236.39 (define @t453 () (or @t445 @t443 @t452)) % 236.11/236.39 (define @t454 () (tptp.ssList @t388)) % 236.11/236.39 (define @t455 () (and @t444 @t440 @t452)) % 236.11/236.39 (define @t456 () (tptp.app tptp.nil @t286)) % 236.11/236.39 (define @t457 () (tptp.segmentP (tptp.app @t456 @t388) @t286)) % 236.11/236.39 (define @t458 () (not @t454)) % 236.11/236.39 (define @t459 () (not @t389)) % 236.11/236.39 (define @t460 () (or @t366 @t366 @t459 @t265 @t458 @t457)) % 236.11/236.39 (define @t461 () (= @t2 @t77)) % 236.11/236.39 (define @t462 () (= @t286 @t456)) % 236.11/236.39 (define @t463 () (or @t366 @t462)) % 236.11/236.39 (define @t464 () (@var "BOUND_VARIABLE_10528" $$unsorted)) % 236.11/236.39 (define @t465 () (= (tptp.cons @t464 @t2) (tptp.app (tptp.cons @t464 tptp.nil) @t2))) % 236.11/236.39 (define @t466 () (not (tptp.ssItem @t464))) % 236.11/236.39 (define @t467 () (or @t466 @t465)) % 236.11/236.39 (define @t468 () (or @t161 @t467)) % 236.11/236.39 (define @t469 () (forall (@list @t2 @t464) @t468)) % 236.11/236.39 (define @t470 () (@list @t464)) % 236.11/236.39 (define @t471 () (forall @t470 @t468)) % 236.11/236.39 (define @t472 () (forall @t470 @t467)) % 236.11/236.39 (define @t473 () (or @t161 @t472)) % 236.11/236.39 (define @t474 () (forall @t7 (or @t256 @t118))) % 236.11/236.39 (define @t475 () (tptp.app @t286 @t388)) % 236.11/236.39 (define @t476 () (tptp.cons @t269 @t388)) % 236.11/236.39 (define @t477 () (= @t476 @t475)) % 236.11/236.39 (define @t478 () (or @t458 @t289 @t477)) % 236.11/236.39 (define @t479 () (= @t2 @t113)) % 236.11/236.39 (define @t480 () (or @t161 @t155 @t479)) % 236.11/236.39 (define @t481 () (=> @t272 @t479)) % 236.11/236.39 (define @t482 () (= @t215 @t476)) % 236.11/236.39 (define @t483 () (or @t231 @t276 @t482)) % 236.11/236.39 (define @t484 () (forall @t9 @t480)) % 236.11/236.39 (define @t485 () (or @t231 @t226 @t482)) % 236.11/236.39 (define @t486 () (tptp.segmentP @t215 @t286)) % 236.11/236.39 (define @t487 () (and @t482 @t477 @t462 @t457)) % 236.11/236.39 (define @t488 () (not @t462)) % 236.11/236.39 (define @t489 () (not @t385)) % 236.11/236.39 (define @t490 () (tptp.segmentP @t286 @t214)) % 236.11/236.39 (define @t491 () (not @t490)) % 236.11/236.39 (define @t492 () (not @t486)) % 236.11/236.39 (define @t493 () (not @t381)) % 236.11/236.39 (define @t494 () (or @t366 @t493 @t492 @t491 @t489)) % 236.11/236.39 (define @t495 () (= tptp.nil @t364)) % 236.11/236.39 (define @t496 () (or @t265 @t495)) % 236.11/236.39 (define @t497 () (and @t495 @t462 @t365)) % 236.11/236.39 (define @t498 () (= @t220 @t254)) % 236.11/236.39 (define @t499 () (not @t498)) % 236.11/236.39 (define @t500 () (not @t238)) % 236.11/236.39 (define @t501 () (= @t220 @t500)) % 236.11/236.39 (define @t502 () (or @t234 @t265 @t501)) % 236.11/236.39 (define @t503 () (forall @t374 @t371)) % 236.11/236.39 (define @t504 () (or @t234 @t265 @t498)) % 236.11/236.39 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 236.11/236.39 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 236.11/236.39 (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))))))))))) % 236.11/236.39 (assume @p4 @t24) % 236.11/236.39 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 236.11/236.39 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 236.11/236.39 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 236.11/236.39 (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))))))))))))))))) % 236.11/236.39 (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)))))))))))))))) % 236.11/236.39 (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))))))))))))))))) % 236.11/236.39 (assume @p11 (forall @t9 (=> @t17 (= @t42 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32))))))))))))))) % 236.11/236.39 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 236.11/236.39 (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)))))))))))))))) % 236.11/236.39 (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))))))))))))) % 236.11/236.39 (assume @p15 @t46) % 236.11/236.39 (assume @p16 @t51) % 236.11/236.39 (assume @p17 @t52) % 236.11/236.39 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 236.11/236.39 (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))))))))))) % 236.11/236.39 (assume @p20 @t62) % 236.11/236.39 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 236.11/236.39 (assume @p22 @t68) % 236.11/236.39 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 236.11/236.39 (assume @p24 (forall @t9 (=> @t17 (=> @t65 (tptp.ssList @t69))))) % 236.11/236.39 (assume @p25 @t74) % 236.11/236.39 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t75)))))) % 236.11/236.39 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t76) (tptp.app @t54 @t2))))))))) % 236.11/236.39 (assume @p28 @t79) % 236.11/236.39 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t81 @t80) @t3)))))) % 236.11/236.39 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t81 @t32) (tptp.leq @t2 @t12))))))))) % 236.11/236.39 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 236.11/236.39 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t82 @t80)))))) % 236.11/236.39 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (not @t83))))))) % 236.11/236.39 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t84 @t41) @t85)))))))) % 236.11/236.39 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t86 @t83)))))) % 236.11/236.39 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t87))))))))) % 236.11/236.39 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t87))))))))) % 236.11/236.39 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 236.11/236.39 (assume @p39 (not @t88)) % 236.11/236.39 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 236.11/236.39 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 236.11/236.39 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 236.11/236.39 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 236.11/236.39 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 236.11/236.39 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 236.11/236.39 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t59)))) % 236.11/236.39 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 236.11/236.39 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 236.11/236.39 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 236.11/236.39 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t89 @t1))))))))) % 236.11/236.39 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 236.11/236.39 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t59)))) % 236.11/236.39 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 @t90) (tptp.segmentP @t2 @t12))))))))) % 236.11/236.39 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 @t91) @t3)))))) % 236.11/236.39 (assume @p55 @t93) % 236.11/236.39 (assume @p56 @t102) % 236.11/236.39 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 236.11/236.39 (assume @p58 @t105) % 236.11/236.39 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t106)))) % 236.11/236.39 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 236.11/236.39 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t106)))) % 236.11/236.39 (assume @p62 (tptp.totalorderP tptp.nil)) % 236.11/236.39 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t106)))) % 236.11/236.39 (assume @p64 (tptp.strictorderP tptp.nil)) % 236.11/236.39 (assume @p65 @t108) % 236.11/236.39 (assume @p66 (tptp.totalorderedP tptp.nil)) % 236.11/236.39 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t112) (or @t110 (and @t111 (tptp.totalorderedP @t1) (tptp.leq @t2 @t109))))))))) % 236.11/236.39 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t106)))) % 236.11/236.39 (assume @p69 (tptp.strictorderedP tptp.nil)) % 236.11/236.39 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t112) (or @t110 (and @t111 (tptp.strictorderedP @t1) (tptp.lt @t2 @t109))))))))) % 236.11/236.39 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t106)))) % 236.11/236.39 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 236.11/236.39 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t106)))) % 236.11/236.39 (assume @p74 (tptp.equalelemsP tptp.nil)) % 236.11/236.39 (assume @p75 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t6 (= @t63 @t1))))))) % 236.11/236.39 (assume @p76 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t27 (= @t69 @t1))))))) % 236.11/236.39 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t111 @t65 (= @t109 @t63) (= (tptp.tl @t1) @t69)) @t53)))))) % 236.11/236.39 (assume @p78 @t116) % 236.11/236.39 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t75) @t117)))))))) % 236.11/236.39 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t76) @t117)))))))) % 236.11/236.39 (assume @p81 @t121) % 236.11/236.39 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t75 @t12) (tptp.app @t2 @t25))))))))) % 236.11/236.39 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t75) (and @t110 @t59))))))) % 236.11/236.39 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 236.11/236.39 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.hd @t75) @t63))))))) % 236.11/236.39 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.tl @t75) (tptp.app @t69 @t1)))))))) % 236.11/236.39 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t82 (tptp.geq @t1 @t2)) @t3)))))) % 236.11/236.39 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t82 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 236.11/236.39 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 236.11/236.39 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 236.11/236.39 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t81 @t41) @t85)))))))) % 236.11/236.39 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (or @t3 @t84))))))) % 236.11/236.39 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t84 (and @t4 @t81))))))) % 236.11/236.39 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t86 (not (tptp.gt @t1 @t2)))))))) % 236.11/236.39 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t86 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 236.11/236.39 (assume @p96 @t145) % 236.11/236.39 (assume @p97 true) % 236.11/236.39 (step @p98 :rule refl :args (@t151)) % 236.11/236.39 (step @p99 :rule refl :args (@t153)) % 236.11/236.39 (step @p100 :rule refl :args (@t154)) % 236.11/236.39 (step @p101 :rule refl :args (@t155)) % 236.11/236.39 (step @p102 :rule eq-symm :args (@t148 tptp.nil)) % 236.11/236.39 (step @p103 :rule cong :premises (@p102) :args (@t156)) % 236.11/236.39 (step @p104 :rule nary_cong :premises (@p103 @p101) :args (@t157)) % 236.11/236.39 (step @p105 :rule nary_cong :premises (@p104 @p100) :args (@t158)) % 236.11/236.39 (step @p106 :rule refl :args (@t159)) % 236.11/236.39 (step @p107 :rule refl :args (@t160)) % 236.11/236.39 (step @p108 :rule refl :args (@t161)) % 236.11/236.39 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p99 @p98) :args (@t162)) % 236.11/236.39 (step @p110 :rule aci_norm :args ((= @t164 @t162))) % 236.11/236.39 (step @p111 :rule trans :premises (@p110 @p109)) % 236.11/236.39 (step @p112 :rule cong :premises (@p111) :args (@t166)) % 236.11/236.39 (step @p113 :rule quant-merge-prenex :args ((= (forall @t9 @t168) @t166))) % 236.11/236.39 (step @p114 :rule alpha_equiv :args (@t169 (@list @t148) @t170)) % 236.11/236.39 (step @p115 :rule refl :args (@t160)) % 236.11/236.39 (step @p116 :rule refl :args (@t161)) % 236.11/236.39 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args (@t171)) % 236.11/236.39 (step @p118 :rule quant-miniscope-or :args ((= @t168 @t171))) % 236.11/236.39 (step @p119 :rule trans :premises (@p118 @p117)) % 236.11/236.39 (step @p120 :rule symm :premises (@p119)) % 236.11/236.39 (step @p121 :rule cong :premises (@p120) :args ((forall @t9 @t178))) % 236.11/236.39 (step @p122 :rule trans :premises (@p121 @p113)) % 236.11/236.39 (step @p123 :rule trans :premises (@p122 @p112)) % 236.11/236.39 (step @p124 :rule aci_norm :args ((= (or @t161 @t178) @t178))) % 236.11/236.39 (step @p125 :rule bool-impl-elim :args (@t17 @t178)) % 236.11/236.39 (step @p126 :rule trans :premises (@p125 @p124)) % 236.11/236.39 (step @p127 :rule cong :premises (@p126) :args ((forall @t9 (=> @t17 @t178)))) % 236.11/236.39 (step @p128 :rule trans :premises (@p127 @p123)) % 236.11/236.39 (step @p129 :rule quant-miniscope-or :args ((= (forall @t7 @t179) @t178))) % 236.11/236.39 (step @p130 :rule aci_norm :args ((= @t180 @t179))) % 236.11/236.39 (step @p131 :rule cong :premises (@p130) :args ((forall @t7 @t180))) % 236.11/236.39 (step @p132 :rule trans :premises (@p131 @p129)) % 236.11/236.39 (step @p133 :rule aci_norm :args ((= (or @t176 @t181) @t180))) % 236.11/236.39 (step @p134 :rule bool-impl-elim :args (@t27 @t181)) % 236.11/236.39 (step @p135 :rule trans :premises (@p134 @p133)) % 236.11/236.39 (step @p136 :rule cong :premises (@p135) :args ((forall @t7 (=> @t27 @t181)))) % 236.11/236.39 (step @p137 :rule trans :premises (@p136 @p132)) % 236.11/236.39 (step @p138 :rule aci_norm :args ((= (or @t175 @t176 @t182) @t181))) % 236.11/236.39 (step @p139 :rule aci_norm :args ((= (or @t161 false @t160 @t174 @t173) @t182))) % 236.11/236.39 (step @p140 :rule refl :args (@t173)) % 236.11/236.39 (step @p141 :rule refl :args (@t174)) % 236.11/236.39 (step @p142 :rule evaluate :args ((not true))) % 236.11/236.39 (step @p143 :rule eq-refl :args (@t2)) % 236.11/236.39 (step @p144 :rule cong :premises (@p143) :args (@t183)) % 236.11/236.39 (step @p145 :rule trans :premises (@p144 @p142)) % 236.11/236.39 (step @p146 :rule nary_cong :premises (@p108 @p145 @p107 @p141 @p140) :args (@t184)) % 236.11/236.39 (step @p147 :rule trans :premises (@p146 @p139)) % 236.11/236.39 (step @p148 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t117) @t189 @t134 @t132 @t188 @t187)) @t184))) % 236.11/236.39 (step @p149 :rule refl :args (@t187)) % 236.11/236.39 (step @p150 :rule refl :args (@t188)) % 236.11/236.39 (step @p151 :rule refl :args (@t132)) % 236.11/236.39 (step @p152 :rule refl :args (@t134)) % 236.11/236.39 (step @p153 :rule refl :args (@t189)) % 236.11/236.39 (step @p154 :rule eq-symm :args (@t2 @t12)) % 236.11/236.39 (step @p155 :rule cong :premises (@p154) :args (@t134)) % 236.11/236.39 (step @p156 :rule nary_cong :premises (@p155 @p153 @p152 @p151 @p150 @p149) :args (@t190)) % 236.11/236.39 (step @p157 :rule aci_norm :args ((= @t191 @t190))) % 236.11/236.39 (step @p158 :rule trans :premises (@p157 @p156)) % 236.11/236.39 (step @p159 :rule cong :premises (@p158) :args (@t192)) % 236.11/236.39 (step @p160 :rule trans :premises (@p159 @p148)) % 236.11/236.39 (step @p161 :rule trans :premises (@p160 @p147)) % 236.11/236.39 (step @p162 :rule refl :args (@t176)) % 236.11/236.39 (step @p163 :rule refl :args (@t175)) % 236.11/236.39 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args (@t193)) % 236.11/236.39 (step @p165 :rule trans :premises (@p164 @p138)) % 236.11/236.39 (step @p166 :rule quant-miniscope-or :args ((= (forall @t16 @t194) @t193))) % 236.11/236.39 (step @p167 :rule aci_norm :args ((= @t195 @t194))) % 236.11/236.39 (step @p168 :rule cong :premises (@p167) :args ((forall @t16 @t195))) % 236.11/236.39 (step @p169 :rule trans :premises (@p168 @p166)) % 236.11/236.39 (step @p170 :rule trans :premises (@p169 @p165)) % 236.11/236.39 (step @p171 :rule aci_norm :args ((= (or @t189 @t196) @t195))) % 236.11/236.39 (step @p172 :rule bool-impl-elim :args (@t15 @t196)) % 236.11/236.39 (step @p173 :rule trans :premises (@p172 @p171)) % 236.11/236.39 (step @p174 :rule cong :premises (@p173) :args ((forall @t16 (=> @t15 @t196)))) % 236.11/236.39 (step @p175 :rule trans :premises (@p174 @p170)) % 236.11/236.39 (step @p176 :rule aci_norm :args ((= (or @t134 @t132 @t175 @t197) @t196))) % 236.11/236.39 (step @p177 :rule aci_norm :args ((= (or @t176 false @t188 @t187) @t197))) % 236.11/236.39 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@p835 :rule instantiate :premises (@p834) :args ((@list @t388 @t269))) % 236.11/236.40 (step @p836 :rule cnf_or_pos :args (@t478)) % 236.11/236.40 (step @p837 :rule reordering :premises (@p836) :args ((or @t289 @t458 @t477 (not @t478)))) % 236.11/236.40 (step @p838 :rule chain_m_resolution :premises (@p837 @p458 @p799 @p835) :args (@t477 @t307 (@list @t275 @t454 @t478))) % 236.11/236.40 (step @p839 :rule aci_norm :args ((= (or @t161 (or @t155 @t479)) @t480))) % 236.11/236.40 (step @p840 :rule refl :args (@t479)) % 236.11/236.40 (step @p841 :rule nary_cong :premises (@p354 @p840) :args ((or @t273 @t479))) % 236.11/236.40 (step @p842 :rule bool-impl-elim :args (@t272 @t479)) % 236.11/236.40 (step @p843 :rule trans :premises (@p842 @p841)) % 236.11/236.40 (step @p844 :rule nary_cong :premises (@p116 @p843) :args ((or @t161 @t481))) % 236.11/236.40 (step @p845 :rule trans :premises (@p844 @p839)) % 236.11/236.40 (step @p846 :rule bool-impl-elim :args (@t17 @t481)) % 236.11/236.40 (step @p847 :rule trans :premises (@p846 @p845)) % 236.11/236.40 (step @p848 :rule cong :premises (@p847) :args ((forall @t9 (=> @t17 @t481)))) % 236.11/236.40 (step @p849 :rule eq-symm :args (@t113 @t2)) % 236.11/236.40 (step @p850 :rule cong :premises (@p364 @p849) :args (@t114)) % 236.11/236.40 (step @p851 :rule cong :premises (@p252 @p850) :args (@t115)) % 236.11/236.40 (step @p852 :rule cong :premises (@p851) :args (@t116)) % 236.11/236.40 (step @p853 :rule trans :premises (@p852 @p848)) % 236.11/236.40 (step @p854 :rule eq_resolve :premises (@p78 @p853)) % 236.11/236.40 (step @p855 :rule refl :args (@t482)) % 236.11/236.40 (step @p856 :rule nary_cong :premises (@p268 @p371 @p855) :args (@t483)) % 236.11/236.40 (step @p857 :rule refl :args (@t484)) % 236.11/236.40 (step @p858 :rule cong :premises (@p857 @p856) :args ((=> @t484 @t483))) % 236.11/236.40 (assume-push @p1018 @t484) % 236.11/236.40 (step @p860 :rule instantiate :premises (@p854) :args (@t279)) % 236.11/236.40 (step-pop @p1019 :rule scope :premises (@p860)) % 236.11/236.40 (step @p861 :rule process_scope :premises (@p1019) :args (@t483)) % 236.11/236.40 (step @p863 :rule eq_resolve :premises (@p861 @p858)) % 236.11/236.40 (step @p864 :rule implies_elim :premises (@p863)) % 236.11/236.40 (step @p865 :rule chain_m_resolution :premises (@p864 @p854) :args (@t485 @t251 (@list @t484))) % 236.11/236.40 (step @p866 :rule cnf_or_pos :args (@t485)) % 236.11/236.40 (step @p867 :rule reordering :premises (@p866) :args ((or @t231 @t226 @t482 (not @t485)))) % 236.11/236.40 (step @p868 :rule chain_m_resolution :premises (@p867 @p455 @p449 @p865) :args (@t482 @t285 (@list @t230 @t226 @t485))) % 236.11/236.40 (assume-push @p1020 @t482) % 236.11/236.40 (assume-push @p1021 @t477) % 236.11/236.40 (assume-push @p1022 @t462) % 236.11/236.40 (assume-push @p1023 @t457) % 236.11/236.40 (assume-push @p1024 @t457) % 236.11/236.40 (assume-push @p1025 @t462) % 236.11/236.40 (assume-push @p1026 @t477) % 236.11/236.40 (assume-push @p1027 @t482) % 236.11/236.40 (step @p877 :rule true_intro :premises (@p1023)) % 236.11/236.40 (step @p471 :rule refl :args (@t286)) % 236.11/236.40 (step @p878 :rule refl :args (@t388)) % 236.11/236.40 (step @p879 :rule cong :premises (@p1022 @p878) :args (@t475)) % 236.11/236.40 (step @p880 :rule trans :premises (@p1020 @p1021 @p879)) % 236.11/236.40 (step @p881 :rule cong :premises (@p880 @p471) :args (@t486)) % 236.11/236.40 (step @p882 :rule trans :premises (@p881 @p877)) % 236.11/236.40 (step @p883 :rule true_elim :premises (@p882)) % 236.11/236.40 (step-pop @p1028 :rule scope :premises (@p883)) % 236.11/236.40 (step-pop @p1029 :rule scope :premises (@p1028)) % 236.11/236.40 (step-pop @p1030 :rule scope :premises (@p1029)) % 236.11/236.40 (step-pop @p1031 :rule scope :premises (@p1030)) % 236.11/236.40 (step @p884 :rule process_scope :premises (@p1031) :args (@t486)) % 236.11/236.40 (step @p889 :rule and_intro :premises (@p1023 @p1022 @p1021 @p1020)) % 236.11/236.40 (step @p890 :rule modus_ponens :premises (@p889 @p884)) % 236.11/236.40 (step-pop @p1032 :rule scope :premises (@p890)) % 236.11/236.40 (step-pop @p1033 :rule scope :premises (@p1032)) % 236.11/236.40 (step-pop @p1034 :rule scope :premises (@p1033)) % 236.11/236.40 (step-pop @p1035 :rule scope :premises (@p1034)) % 236.11/236.40 (step @p891 :rule process_scope :premises (@p1035) :args (@t486)) % 236.11/236.40 (step @p896 :rule implies_elim :premises (@p891)) % 236.11/236.40 (step @p897 :rule cnf_and_neg :args (@t487)) % 236.11/236.40 (step @p898 :rule resolution :premises (@p897 @p896) :args (true @t487)) % 236.11/236.40 (step @p899 :rule reordering :premises (@p898) :args ((or (not @t482) (not @t477) @t486 @t488 (not @t457)))) % 236.11/236.40 (step @p900 :rule chain_m_resolution :premises (@p899 @p868 @p838 @p814 @p803) :args (@t486 (@list false false false false) (@list @t482 @t477 @t462 @t457))) % 236.11/236.40 (step @p901 :rule cnf_or_pos :args (@t494)) % 236.11/236.40 (step @p902 :rule reordering :premises (@p901) :args ((or @t489 @t366 @t493 @t492 @t491 (not @t494)))) % 236.11/236.40 (step @p903 :rule instantiate :premises (@p810) :args (@t261)) % 236.11/236.40 (step @p904 :rule cnf_or_pos :args (@t496)) % 236.11/236.40 (step @p905 :rule reordering :premises (@p904) :args ((or @t265 @t495 (not @t496)))) % 236.11/236.40 (step @p906 :rule chain_m_resolution :premises (@p905 @p17 @p903) :args (@t495 @t252 (@list @t52 @t496))) % 236.11/236.40 (assume-push @p1036 @t495) % 236.11/236.40 (assume-push @p1037 @t462) % 236.11/236.40 (assume-push @p1038 @t365) % 236.11/236.40 (assume-push @p1039 @t365) % 236.11/236.40 (assume-push @p1040 @t495) % 236.11/236.40 (assume-push @p1041 @t462) % 236.11/236.40 (step @p913 :rule true_intro :premises (@p1038)) % 236.11/236.40 (step @p393 :rule refl :args (@t214)) % 236.11/236.40 (step @p471 :rule refl :args (@t286)) % 236.11/236.40 (step @p914 :rule cong :premises (@p906 @p471) :args (@t456)) % 236.11/236.40 (step @p915 :rule trans :premises (@p1037 @p914)) % 236.11/236.40 (step @p916 :rule cong :premises (@p915 @p393) :args (@t490)) % 236.11/236.40 (step @p917 :rule trans :premises (@p916 @p913)) % 236.11/236.40 (step @p918 :rule true_elim :premises (@p917)) % 236.11/236.40 (step-pop @p1042 :rule scope :premises (@p918)) % 236.11/236.40 (step-pop @p1043 :rule scope :premises (@p1042)) % 236.11/236.40 (step-pop @p1044 :rule scope :premises (@p1043)) % 236.11/236.40 (step @p919 :rule process_scope :premises (@p1044) :args (@t490)) % 236.11/236.40 (step @p923 :rule and_intro :premises (@p1038 @p906 @p1037)) % 236.11/236.40 (step @p924 :rule modus_ponens :premises (@p923 @p919)) % 236.11/236.40 (step-pop @p1045 :rule scope :premises (@p924)) % 236.11/236.40 (step-pop @p1046 :rule scope :premises (@p1045)) % 236.11/236.40 (step-pop @p1047 :rule scope :premises (@p1046)) % 236.11/236.40 (step @p925 :rule process_scope :premises (@p1047) :args (@t490)) % 236.11/236.40 (step @p929 :rule implies_elim :premises (@p925)) % 236.11/236.40 (step @p930 :rule cnf_and_neg :args (@t497)) % 236.11/236.40 (step @p931 :rule resolution :premises (@p930 @p929) :args (true @t497)) % 236.11/236.40 (step @p932 :rule reordering :premises (@p931) :args ((or (not @t495) @t490 @t488 (not @t365)))) % 236.11/236.40 (step @p933 :rule chain_m_resolution :premises (@p932 @p814 @p906 @p902 @p511 @p900 @p637 @p630 @p623 @p616 @p592 @p589 @p511 @p289 @p17 @p487 @p461 @p320 @p318) :args (@t254 (@list false false true false false false false false false false false false false false true true false false) (@list @t462 @t495 @t490 @t305 @t486 @t494 @t385 @t381 @t382 @t365 @t367 @t305 @t233 @t52 @t291 @t287 @t246 @t249))) % 236.11/236.40 (step @p934 :rule bool-double-not-elim :args (@t226)) % 236.11/236.40 (step @p935 :rule refl :args (@t228)) % 236.11/236.40 (step @p936 :rule nary_cong :premises (@p935 @p934) :args ((or @t228 (not @t227)))) % 236.11/236.40 (step @p937 :rule cnf_or_neg :args (@t228 0)) % 236.11/236.40 (step @p938 :rule eq_resolve :premises (@p937 @p936)) % 236.11/236.40 (step @p939 :rule reordering :premises (@p938) :args ((or @t226 @t228))) % 236.11/236.40 (step @p940 :rule chain_m_resolution :premises (@p939 @p449) :args (@t228 @t243 (@list @t226))) % 236.11/236.40 (step @p941 :rule chain_m_resolution :premises (@p413 @p412 @p940) :args ((not @t224) @t268 (@list @t229 @t228))) % 236.11/236.40 (step @p942 :rule chain_m_resolution :premises (@p419 @p941) :args ((not @t221) @t243 (@list @t224))) % 236.11/236.40 (step @p943 :rule chain_m_resolution :premises (@p421 @p942 @p387) :args (@t283 @t268 (@list @t221 @t218))) % 236.11/236.40 (step @p944 :rule bool-double-not-elim :args (@t225)) % 236.11/236.40 (step @p945 :rule refl :args (@t220)) % 236.11/236.40 (step @p946 :rule refl :args (@t499)) % 236.11/236.40 (step @p947 :rule nary_cong :premises (@p946 @p945 @p944) :args ((or @t499 @t220 (not @t254)))) % 236.11/236.40 (step @p948 :rule cnf_equiv_pos2 :args (@t498)) % 236.11/236.40 (step @p949 :rule eq_resolve :premises (@p948 @p947)) % 236.11/236.40 (step @p950 :rule reordering :premises (@p949) :args ((or @t220 @t225 @t499))) % 236.11/236.40 (step @p951 :rule chain_m_resolution :premises (@p950 @p943 @p933) :args (@t499 (@list true true) (@list @t220 @t225))) % 236.11/236.40 (step @p952 :rule cong :premises (@p264) :args (@t500)) % 236.11/236.40 (step @p953 :rule cong :premises (@p945 @p952) :args (@t501)) % 236.11/236.40 (step @p954 :rule refl :args (@t265)) % 236.11/236.40 (step @p955 :rule nary_cong :premises (@p270 @p954 @p953) :args (@t502)) % 236.11/236.40 (step @p956 :rule refl :args (@t503)) % 236.11/236.40 (step @p957 :rule cong :premises (@p956 @p955) :args ((=> @t503 @t502))) % 236.11/236.40 (assume-push @p1048 @t503) % 236.11/236.40 (step @p959 :rule instantiate :premises (@p612) :args ((@list @t214 tptp.nil))) % 236.11/236.40 (step-pop @p1049 :rule scope :premises (@p959)) % 236.11/236.40 (step @p960 :rule process_scope :premises (@p1049) :args (@t502)) % 233.77/236.40 (step @p962 :rule eq_resolve :premises (@p960 @p957)) % 233.77/236.40 (step @p963 :rule implies_elim :premises (@p962)) % 233.77/236.40 (step @p964 :rule chain_m_resolution :premises (@p963 @p612) :args (@t504 @t251 (@list @t503))) % 233.77/236.40 (step @p965 :rule cnf_or_pos :args (@t504)) % 233.77/236.40 (step @p966 :rule reordering :premises (@p965) :args ((or @t265 @t234 @t498 (not @t504)))) % 233.77/236.40 (step @p967 false :rule chain_m_resolution :premises (@p966 @p964 @p951 @p289 @p17) :args (false (@list false true false false) (@list @t504 @t498 @t233 @t52))) % 233.77/236.40 ) % 233.77/236.40 % SZS output end Proof % 233.77/236.40 % cvc5 exiting %------------------------------------------------------------------------------