%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC117+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 : n019.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 08:58:07 AM UTC 2026 % Result : Theorem 237.42s 237.62s % Output : Proof 237.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.14 % Problem : SWC117+1 : TPTP v9.2.1. Released v2.4.0. % 0.10/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n019.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 19:16:19 EDT 2026 % 0.17/0.36 % CPUTime : % 0.33/0.54 %----Proving TF0_NAR, FOF, or CNF % 237.42/237.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 237.42/237.62 --- Run --no-e-matching --full-saturate-quant at 6... % 237.42/237.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 237.42/237.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 237.42/237.62 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 237.42/237.62 --- Run --trigger-sel=max --full-saturate-quant at 15... % 237.42/237.62 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 237.42/237.62 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 237.42/237.62 --- Run --prenex-quant=none --full-saturate-quant at 30... % 237.42/237.62 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 237.42/237.62 --- Run --relevant-triggers --full-saturate-quant at 30... % 237.42/237.62 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 237.42/237.62 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 237.42/237.62 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 237.42/237.62 % SZS status Theorem % 237.42/237.62 % SZS output start Proof % 237.42/237.62 ( % 237.42/237.62 (declare-sort $$unsorted 0) % 237.42/237.62 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 237.42/237.62 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 237.42/237.62 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 237.42/237.62 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 237.42/237.62 (declare-const tptp.nil $$unsorted) % 237.42/237.62 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.ssList (-> $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 237.42/237.62 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 237.42/237.62 (define @t1 () (@var "V" $$unsorted)) % 237.42/237.62 (define @t2 () (@var "U" $$unsorted)) % 237.42/237.62 (define @t3 () (= @t2 @t1)) % 237.42/237.62 (define @t4 () (not @t3)) % 237.42/237.62 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 237.42/237.62 (define @t6 () (tptp.ssItem @t1)) % 237.42/237.62 (define @t7 () (@list @t1)) % 237.42/237.62 (define @t8 () (tptp.ssItem @t2)) % 237.42/237.62 (define @t9 () (@list @t2)) % 237.42/237.62 (define @t10 () (@var "X" $$unsorted)) % 237.42/237.62 (define @t11 () (tptp.cons @t1 @t10)) % 237.42/237.62 (define @t12 () (@var "W" $$unsorted)) % 237.42/237.62 (define @t13 () (tptp.ssList @t10)) % 237.42/237.62 (define @t14 () (@list @t10)) % 237.42/237.62 (define @t15 () (tptp.ssList @t12)) % 237.42/237.62 (define @t16 () (@list @t12)) % 237.42/237.62 (define @t17 () (tptp.ssList @t2)) % 237.42/237.62 (define @t18 () (tptp.cons @t1 tptp.nil)) % 237.42/237.62 (define @t19 () (and @t6 (= @t18 @t2))) % 237.42/237.62 (define @t20 () (exists @t7 @t19)) % 237.42/237.62 (define @t21 () (tptp.singletonP @t2)) % 237.42/237.62 (define @t22 () (= @t21 @t20)) % 237.42/237.62 (define @t23 () (=> @t17 @t22)) % 237.42/237.62 (define @t24 () (forall @t9 @t23)) % 237.42/237.62 (define @t25 () (tptp.app @t1 @t12)) % 237.42/237.62 (define @t26 () (tptp.frontsegP @t2 @t1)) % 237.42/237.62 (define @t27 () (tptp.ssList @t1)) % 237.42/237.62 (define @t28 () (tptp.app @t12 @t1)) % 237.42/237.62 (define @t29 () (tptp.rearsegP @t2 @t1)) % 237.42/237.62 (define @t30 () (tptp.segmentP @t2 @t1)) % 237.42/237.62 (define @t31 () (tptp.leq @t12 @t1)) % 237.42/237.62 (define @t32 () (tptp.leq @t1 @t12)) % 237.42/237.62 (define @t33 () (@var "Z" $$unsorted)) % 237.42/237.62 (define @t34 () (@var "Y" $$unsorted)) % 237.42/237.62 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 237.42/237.62 (define @t36 () (tptp.ssList @t33)) % 237.42/237.62 (define @t37 () (@list @t33)) % 237.42/237.62 (define @t38 () (tptp.ssList @t34)) % 237.42/237.62 (define @t39 () (@list @t34)) % 237.42/237.62 (define @t40 () (tptp.ssItem @t12)) % 237.42/237.62 (define @t41 () (tptp.lt @t1 @t12)) % 237.42/237.62 (define @t42 () (= @t1 @t12)) % 237.42/237.62 (define @t43 () (tptp.equalelemsP @t2)) % 237.42/237.62 (define @t44 () (forall @t7 (=> @t27 @t5))) % 237.42/237.62 (define @t45 () (=> @t17 @t44)) % 237.42/237.62 (define @t46 () (forall @t9 @t45)) % 237.42/237.62 (define @t47 () (tptp.cons @t1 @t2)) % 237.42/237.62 (define @t48 () (tptp.ssList @t47)) % 237.42/237.62 (define @t49 () (forall @t7 (=> @t6 @t48))) % 237.42/237.62 (define @t50 () (=> @t17 @t49)) % 237.42/237.62 (define @t51 () (forall @t9 @t50)) % 237.42/237.62 (define @t52 () (tptp.ssList tptp.nil)) % 237.42/237.62 (define @t53 () (= @t1 @t2)) % 237.42/237.62 (define @t54 () (tptp.cons @t12 @t1)) % 237.42/237.62 (define @t55 () (and @t40 (= @t54 @t2))) % 237.42/237.62 (define @t56 () (exists @t16 @t55)) % 237.42/237.62 (define @t57 () (and @t27 @t56)) % 237.42/237.62 (define @t58 () (exists @t7 @t57)) % 237.42/237.62 (define @t59 () (= tptp.nil @t2)) % 237.42/237.62 (define @t60 () (or @t59 @t58)) % 237.42/237.62 (define @t61 () (=> @t17 @t60)) % 237.42/237.62 (define @t62 () (forall @t9 @t61)) % 237.42/237.62 (define @t63 () (tptp.hd @t2)) % 237.42/237.62 (define @t64 () (tptp.ssItem @t63)) % 237.42/237.62 (define @t65 () (not @t59)) % 237.42/237.62 (define @t66 () (=> @t65 @t64)) % 237.42/237.62 (define @t67 () (=> @t17 @t66)) % 237.42/237.62 (define @t68 () (forall @t9 @t67)) % 237.42/237.62 (define @t69 () (tptp.tl @t2)) % 237.42/237.62 (define @t70 () (tptp.tl @t47)) % 237.42/237.62 (define @t71 () (=> @t6 (= @t70 @t2))) % 237.42/237.62 (define @t72 () (forall @t7 @t71)) % 237.42/237.62 (define @t73 () (=> @t17 @t72)) % 237.42/237.62 (define @t74 () (forall @t9 @t73)) % 237.42/237.62 (define @t75 () (tptp.app @t2 @t1)) % 237.42/237.62 (define @t76 () (tptp.app @t1 @t2)) % 237.42/237.62 (define @t77 () (tptp.app tptp.nil @t2)) % 237.42/237.62 (define @t78 () (=> @t17 (= @t77 @t2))) % 237.42/237.62 (define @t79 () (forall @t9 @t78)) % 237.42/237.62 (define @t80 () (tptp.leq @t1 @t2)) % 237.42/237.62 (define @t81 () (tptp.leq @t2 @t1)) % 237.42/237.62 (define @t82 () (tptp.geq @t2 @t1)) % 237.42/237.62 (define @t83 () (tptp.lt @t1 @t2)) % 237.42/237.62 (define @t84 () (tptp.lt @t2 @t1)) % 237.42/237.62 (define @t85 () (tptp.lt @t2 @t12)) % 237.42/237.62 (define @t86 () (tptp.gt @t2 @t1)) % 237.42/237.62 (define @t87 () (tptp.memberP @t12 @t2)) % 237.42/237.62 (define @t88 () (tptp.singletonP tptp.nil)) % 237.42/237.62 (define @t89 () (tptp.app @t12 @t2)) % 237.42/237.62 (define @t90 () (tptp.segmentP @t1 @t12)) % 237.42/237.62 (define @t91 () (tptp.segmentP @t1 @t2)) % 237.42/237.62 (define @t92 () (tptp.segmentP @t2 @t2)) % 237.42/237.62 (define @t93 () (forall @t9 (=> @t17 @t92))) % 237.42/237.62 (define @t94 () (tptp.segmentP (tptp.app @t89 @t10) @t1)) % 237.42/237.62 (define @t95 () (=> @t30 @t94)) % 237.42/237.62 (define @t96 () (forall @t14 (=> @t13 @t95))) % 237.42/237.62 (define @t97 () (=> @t15 @t96)) % 237.42/237.62 (define @t98 () (forall @t16 @t97)) % 237.42/237.62 (define @t99 () (=> @t27 @t98)) % 237.42/237.62 (define @t100 () (forall @t7 @t99)) % 237.42/237.62 (define @t101 () (=> @t17 @t100)) % 237.42/237.62 (define @t102 () (forall @t9 @t101)) % 237.42/237.62 (define @t103 () (tptp.segmentP @t2 tptp.nil)) % 237.42/237.62 (define @t104 () (forall @t9 (=> @t17 @t103))) % 237.42/237.62 (define @t105 () (tptp.cons @t2 tptp.nil)) % 237.42/237.62 (define @t106 () (tptp.hd @t1)) % 237.42/237.62 (define @t107 () (= tptp.nil @t1)) % 237.42/237.62 (define @t108 () (not @t107)) % 237.42/237.62 (define @t109 () (tptp.cons @t2 @t1)) % 237.42/237.62 (define @t110 () (tptp.equalelemsP @t105)) % 237.42/237.62 (define @t111 () (forall @t9 (=> @t8 @t110))) % 237.42/237.62 (define @t112 () (tptp.cons @t63 @t69)) % 237.42/237.62 (define @t113 () (=> @t65 (= @t112 @t2))) % 237.42/237.62 (define @t114 () (=> @t17 @t113)) % 237.42/237.62 (define @t115 () (forall @t9 @t114)) % 237.42/237.62 (define @t116 () (= @t12 @t2)) % 237.42/237.62 (define @t117 () (= @t47 (tptp.app @t18 @t2))) % 237.42/237.62 (define @t118 () (forall @t7 (=> @t6 @t117))) % 237.42/237.62 (define @t119 () (=> @t17 @t118)) % 237.42/237.62 (define @t120 () (forall @t9 @t119)) % 237.42/237.62 (define @t121 () (and @t107 @t59)) % 237.42/237.62 (define @t122 () (tptp.neq @t2 tptp.nil)) % 237.42/237.62 (define @t123 () (and @t122 @t91)) % 237.42/237.62 (define @t124 () (tptp.equalelemsP @t34)) % 237.42/237.62 (define @t125 () (tptp.segmentP @t34 @t12)) % 237.42/237.62 (define @t126 () (tptp.segmentP @t10 @t34)) % 237.42/237.62 (define @t127 () (tptp.neq @t12 @t34)) % 237.42/237.62 (define @t128 () (and @t38 @t127 @t126 @t125 @t124)) % 237.42/237.62 (define @t129 () (exists @t39 @t128)) % 237.42/237.62 (define @t130 () (not (tptp.equalelemsP @t12))) % 237.42/237.62 (define @t131 () (not (tptp.segmentP @t10 @t12))) % 237.42/237.62 (define @t132 () (not (= @t2 @t12))) % 237.42/237.62 (define @t133 () (not (= @t1 @t10))) % 237.42/237.62 (define @t134 () (or @t133 @t132 @t131 @t130 @t129 @t121 @t123)) % 237.42/237.62 (define @t135 () (=> @t13 @t134)) % 237.42/237.62 (define @t136 () (forall @t14 @t135)) % 237.42/237.62 (define @t137 () (=> @t15 @t136)) % 237.42/237.62 (define @t138 () (forall @t16 @t137)) % 237.42/237.62 (define @t139 () (=> @t27 @t138)) % 237.42/237.62 (define @t140 () (forall @t7 @t139)) % 237.42/237.62 (define @t141 () (=> @t17 @t140)) % 237.42/237.62 (define @t142 () (forall @t9 @t141)) % 237.42/237.62 (define @t143 () (not @t142)) % 237.42/237.62 (define @t144 () (@var "BOUND_VARIABLE_9257" $$unsorted)) % 237.42/237.62 (define @t145 () (tptp.cons @t144 @t1)) % 237.42/237.62 (define @t146 () (not (= @t2 @t145))) % 237.42/237.62 (define @t147 () (not (tptp.ssItem @t144))) % 237.42/237.62 (define @t148 () (not @t27)) % 237.42/237.62 (define @t149 () (or @t148 @t147 @t146)) % 237.42/237.62 (define @t150 () (@list @t1 @t144)) % 237.42/237.62 (define @t151 () (not (forall @t150 @t149))) % 237.42/237.62 (define @t152 () (= @t2 tptp.nil)) % 237.42/237.62 (define @t153 () (not @t17)) % 237.42/237.62 (define @t154 () (or @t153 @t152 @t151)) % 237.42/237.62 (define @t155 () (or @t152 @t151)) % 237.42/237.62 (define @t156 () (or @t147 @t146)) % 237.42/237.62 (define @t157 () (or @t148 @t156)) % 237.42/237.62 (define @t158 () (forall @t150 @t157)) % 237.42/237.62 (define @t159 () (@list @t144)) % 237.42/237.62 (define @t160 () (forall @t159 @t157)) % 237.42/237.62 (define @t161 () (forall @t159 @t156)) % 237.42/237.62 (define @t162 () (or @t148 @t161)) % 237.42/237.62 (define @t163 () (= @t2 @t54)) % 237.42/237.62 (define @t164 () (forall @t16 (or (not @t40) (not @t163)))) % 237.42/237.62 (define @t165 () (not @t164)) % 237.42/237.62 (define @t166 () (and @t27 @t165)) % 237.42/237.62 (define @t167 () (forall @t7 (not @t166))) % 237.42/237.62 (define @t168 () (not @t167)) % 237.42/237.62 (define @t169 () (and @t40 @t163)) % 237.42/237.62 (define @t170 () (forall @t16 (not @t169))) % 237.42/237.62 (define @t171 () (not @t170)) % 237.42/237.62 (define @t172 () (not @t124)) % 237.42/237.62 (define @t173 () (not (tptp.segmentP @t34 @t2))) % 237.42/237.62 (define @t174 () (@var "BOUND_VARIABLE_10982" $$unsorted)) % 237.42/237.62 (define @t175 () (not (tptp.neq @t2 @t34))) % 237.42/237.62 (define @t176 () (not @t38)) % 237.42/237.62 (define @t177 () (not (forall @t39 (or @t176 @t175 (not (tptp.segmentP @t174 @t34)) @t173 @t172)))) % 237.42/237.62 (define @t178 () (tptp.segmentP @t174 @t2)) % 237.42/237.62 (define @t179 () (not @t178)) % 237.42/237.62 (define @t180 () (and @t122 @t178)) % 237.42/237.62 (define @t181 () (not (tptp.ssList @t174))) % 237.42/237.62 (define @t182 () (not @t43)) % 237.42/237.62 (define @t183 () (@list @t2 @t174)) % 237.42/237.62 (define @t184 () (forall @t183 (or @t153 @t182 @t181 (and (= tptp.nil @t174) @t152) @t180 @t179 @t177))) % 237.42/237.62 (define @t185 () (@quantifiers_skolemize @t184 1)) % 237.42/237.62 (define @t186 () (not (= @t185 @t145))) % 237.42/237.62 (define @t187 () (or @t148 @t147 @t186)) % 237.42/237.62 (define @t188 () (forall @t150 @t187)) % 237.42/237.62 (define @t189 () (not @t188)) % 237.42/237.62 (define @t190 () (tptp.ssList @t185)) % 237.42/237.62 (define @t191 () (not @t190)) % 237.42/237.62 (define @t192 () (= @t185 tptp.nil)) % 237.42/237.62 (define @t193 () (or @t191 @t192 @t189)) % 237.42/237.62 (define @t194 () (forall @t9 @t154)) % 237.42/237.62 (define @t195 () (@list @t185)) % 237.42/237.62 (define @t196 () (forall @t150 (or @t148 @t147 (not (= @t145 @t185))))) % 237.42/237.62 (define @t197 () (not @t196)) % 237.42/237.62 (define @t198 () (= tptp.nil @t185)) % 237.42/237.62 (define @t199 () (or @t191 @t198 @t197)) % 237.42/237.62 (define @t200 () (@list false)) % 237.42/237.62 (define @t201 () (@var "BOUND_VARIABLE_9099" $$unsorted)) % 237.42/237.62 (define @t202 () (= (tptp.neq @t2 @t201) (not (= @t2 @t201)))) % 237.42/237.62 (define @t203 () (not (tptp.ssList @t201))) % 237.42/237.62 (define @t204 () (or @t153 @t203 @t202)) % 237.42/237.62 (define @t205 () (or @t203 @t202)) % 237.42/237.62 (define @t206 () (or @t153 @t205)) % 237.42/237.62 (define @t207 () (@list @t2 @t201)) % 237.42/237.62 (define @t208 () (forall @t207 @t206)) % 237.42/237.62 (define @t209 () (@list @t201)) % 237.42/237.62 (define @t210 () (forall @t209 @t206)) % 237.42/237.62 (define @t211 () (forall @t209 @t205)) % 237.42/237.62 (define @t212 () (@list @t1)) % 237.42/237.62 (define @t213 () (or @t153 @t211)) % 237.42/237.62 (define @t214 () (forall @t7 (or @t148 @t5))) % 237.42/237.62 (define @t215 () (@quantifiers_skolemize @t184 0)) % 237.42/237.62 (define @t216 () (= @t215 tptp.nil)) % 237.42/237.62 (define @t217 () (not @t216)) % 237.42/237.62 (define @t218 () (tptp.neq @t215 tptp.nil)) % 237.42/237.62 (define @t219 () (= @t218 @t217)) % 237.42/237.62 (define @t220 () (not @t52)) % 237.42/237.62 (define @t221 () (tptp.ssList @t215)) % 237.42/237.62 (define @t222 () (not @t221)) % 237.42/237.62 (define @t223 () (or @t222 @t220 @t219)) % 237.42/237.62 (define @t224 () (forall @t207 @t204)) % 237.42/237.62 (define @t225 () (= tptp.nil @t215)) % 237.42/237.62 (define @t226 () (not @t225)) % 237.42/237.62 (define @t227 () (= @t218 @t226)) % 237.42/237.62 (define @t228 () (or @t222 @t220 @t227)) % 237.42/237.62 (define @t229 () (and (= @t174 tptp.nil) @t152)) % 237.42/237.62 (define @t230 () (or @t153 @t182 @t181 @t229 @t180 @t179 @t177)) % 237.42/237.62 (define @t231 () (or @t181 @t229 @t180 @t179 @t177)) % 237.42/237.62 (define @t232 () (or @t153 @t182 @t231)) % 237.42/237.62 (define @t233 () (forall @t183 @t232)) % 237.42/237.62 (define @t234 () (@list @t174)) % 237.42/237.62 (define @t235 () (forall @t234 @t232)) % 237.42/237.62 (define @t236 () (forall @t234 @t231)) % 237.42/237.62 (define @t237 () (or @t153 @t182 @t236)) % 237.42/237.62 (define @t238 () (not (tptp.segmentP @t1 @t34))) % 237.42/237.62 (define @t239 () (not (forall @t39 (or @t176 @t175 @t238 @t173 @t172)))) % 237.42/237.62 (define @t240 () (not @t91)) % 237.42/237.62 (define @t241 () (and (= @t1 tptp.nil) @t152)) % 237.42/237.62 (define @t242 () (or @t148 @t241 @t123 @t240 @t239)) % 237.42/237.62 (define @t243 () (or @t153 @t182 (forall @t7 @t242))) % 237.42/237.62 (define @t244 () (or @t153 @t182 @t242)) % 237.42/237.62 (define @t245 () (or @t148 @t241 @t123 @t153 @t182 @t240 @t239)) % 237.42/237.62 (define @t246 () (or @t241 @t123 @t148 @t153 @t182 @t240 @t239)) % 237.42/237.62 (define @t247 () (or @t153 @t182 @t240 @t239)) % 237.42/237.62 (define @t248 () (not (= @t2 @t2))) % 237.42/237.62 (define @t249 () (or @t153 @t248 @t182 @t240 @t239)) % 237.42/237.62 (define @t250 () (not @t125)) % 237.42/237.62 (define @t251 () (not @t127)) % 237.42/237.62 (define @t252 () (not (forall @t39 (or @t176 @t251 @t238 @t250 @t172)))) % 237.42/237.62 (define @t253 () (not @t90)) % 237.42/237.62 (define @t254 () (not @t15)) % 237.42/237.62 (define @t255 () (or @t132 @t254 @t132 @t130 @t253 @t252)) % 237.42/237.62 (define @t256 () (or @t254 @t132 @t130 @t253 @t252)) % 237.42/237.62 (define @t257 () (forall @t16 @t256)) % 237.42/237.62 (define @t258 () (or @t241 @t123 @t148 @t257)) % 237.42/237.62 (define @t259 () (or @t241 @t123 @t148 @t256)) % 237.42/237.62 (define @t260 () (or @t254 @t132 @t130 @t241 @t123 @t148 @t253 @t252)) % 237.42/237.62 (define @t261 () (or @t132 @t130 @t241 @t123 @t148 @t253 @t252)) % 237.42/237.62 (define @t262 () (or @t148 @t253 @t252)) % 237.42/237.62 (define @t263 () (not (= @t1 @t1))) % 237.42/237.62 (define @t264 () (or @t148 @t263 @t253 @t252)) % 237.42/237.62 (define @t265 () (not @t126)) % 237.42/237.62 (define @t266 () (or @t176 @t251 @t265 @t250 @t172)) % 237.42/237.62 (define @t267 () (not (forall @t39 @t266))) % 237.42/237.62 (define @t268 () (not @t13)) % 237.42/237.62 (define @t269 () (or @t133 @t268 @t133 @t131 @t267)) % 237.42/237.62 (define @t270 () (or @t268 @t133 @t131 @t267)) % 237.42/237.62 (define @t271 () (forall @t14 @t270)) % 237.42/237.62 (define @t272 () (or @t132 @t130 @t241 @t123 @t271)) % 237.42/237.62 (define @t273 () (or @t132 @t130 @t241 @t123 @t270)) % 237.42/237.62 (define @t274 () (or @t268 @t133 @t132 @t131 @t130 @t267 @t241 @t123)) % 237.42/237.62 (define @t275 () (or @t133 @t132 @t131 @t130 @t267 @t241 @t123)) % 237.42/237.62 (define @t276 () (forall @t39 (not @t128))) % 237.42/237.62 (define @t277 () (not @t276)) % 237.42/237.62 (define @t278 () (forall @t39 (or @t176 (not (tptp.neq @t215 @t34)) (not (tptp.segmentP @t185 @t34)) (not (tptp.segmentP @t34 @t215)) @t172))) % 237.42/237.62 (define @t279 () (not @t278)) % 237.42/237.62 (define @t280 () (tptp.segmentP @t185 @t215)) % 237.42/237.62 (define @t281 () (not @t280)) % 237.42/237.62 (define @t282 () (and @t218 @t280)) % 237.42/237.62 (define @t283 () (and @t198 @t225)) % 237.42/237.62 (define @t284 () (not (tptp.equalelemsP @t215))) % 237.42/237.62 (define @t285 () (or @t222 @t284 @t191 @t283 @t282 @t281 @t279)) % 237.42/237.62 (define @t286 () (not @t285)) % 237.42/237.62 (define @t287 () (not @t184)) % 237.42/237.62 (define @t288 () (and @t198 @t216)) % 237.42/237.62 (define @t289 () (or @t222 @t284 @t191 @t288 @t282 @t281 @t279)) % 237.42/237.62 (define @t290 () (not @t289)) % 237.42/237.62 (define @t291 () (@list true)) % 237.42/237.62 (define @t292 () (@list @t285)) % 237.42/237.62 (define @t293 () (@list false false false)) % 237.42/237.62 (define @t294 () (not @t218)) % 237.42/237.62 (define @t295 () (@list true false)) % 237.42/237.62 (define @t296 () (not @t227)) % 237.42/237.62 (define @t297 () (@list false true false)) % 237.42/237.62 (define @t298 () (@quantifiers_skolemize @t196 0)) % 237.42/237.62 (define @t299 () (@quantifiers_skolemize @t196 1)) % 237.42/237.62 (define @t300 () (tptp.cons @t299 @t298)) % 237.42/237.62 (define @t301 () (= @t185 @t300)) % 237.42/237.62 (define @t302 () (not @t301)) % 237.42/237.62 (define @t303 () (tptp.ssItem @t299)) % 237.42/237.62 (define @t304 () (not @t303)) % 237.42/237.62 (define @t305 () (tptp.ssList @t298)) % 237.42/237.62 (define @t306 () (not @t305)) % 237.42/237.62 (define @t307 () (or @t306 @t304 @t302)) % 237.42/237.62 (define @t308 () (not @t307)) % 237.42/237.62 (define @t309 () (not (= @t300 @t185))) % 237.42/237.62 (define @t310 () (or @t306 @t304 @t309)) % 237.42/237.62 (define @t311 () (not @t310)) % 237.42/237.62 (define @t312 () (@list @t307)) % 237.42/237.62 (define @t313 () (@var "BOUND_VARIABLE_9344" $$unsorted)) % 237.42/237.62 (define @t314 () (= @t2 (tptp.tl (tptp.cons @t313 @t2)))) % 237.42/237.62 (define @t315 () (not (tptp.ssItem @t313))) % 237.42/237.62 (define @t316 () (or @t315 @t314)) % 237.42/237.62 (define @t317 () (or @t153 @t316)) % 237.42/237.62 (define @t318 () (forall (@list @t2 @t313) @t317)) % 237.42/237.62 (define @t319 () (@list @t313)) % 237.42/237.62 (define @t320 () (forall @t319 @t317)) % 237.42/237.62 (define @t321 () (forall @t319 @t316)) % 237.42/237.62 (define @t322 () (or @t153 @t321)) % 237.42/237.62 (define @t323 () (= @t2 @t70)) % 237.42/237.62 (define @t324 () (not @t6)) % 237.42/237.62 (define @t325 () (forall @t7 (or @t324 @t323))) % 237.42/237.62 (define @t326 () (= @t298 (tptp.tl @t300))) % 237.42/237.62 (define @t327 () (or @t306 @t304 @t326)) % 237.42/237.62 (define @t328 () (tptp.tl @t185)) % 237.42/237.62 (define @t329 () (tptp.ssList @t328)) % 237.42/237.62 (define @t330 () (@var "BOUND_VARIABLE_9120" $$unsorted)) % 237.42/237.62 (define @t331 () (tptp.ssList (tptp.cons @t330 @t2))) % 237.42/237.62 (define @t332 () (not (tptp.ssItem @t330))) % 237.42/237.62 (define @t333 () (or @t332 @t331)) % 237.42/237.62 (define @t334 () (or @t153 @t333)) % 237.42/237.62 (define @t335 () (forall (@list @t2 @t330) @t334)) % 237.42/237.62 (define @t336 () (@list @t330)) % 237.42/237.62 (define @t337 () (forall @t336 @t334)) % 237.42/237.62 (define @t338 () (forall @t336 @t333)) % 237.42/237.62 (define @t339 () (or @t153 @t338)) % 237.42/237.62 (define @t340 () (forall @t7 (or @t324 @t48))) % 237.42/237.62 (define @t341 () (tptp.hd @t185)) % 237.42/237.62 (define @t342 () (@list tptp.nil @t341)) % 237.42/237.62 (define @t343 () (or @t153 @t152 @t64)) % 237.42/237.62 (define @t344 () (not @t152)) % 237.42/237.62 (define @t345 () (not @t344)) % 237.42/237.62 (define @t346 () (=> @t344 @t64)) % 237.42/237.62 (define @t347 () (tptp.ssItem @t341)) % 237.42/237.62 (define @t348 () (or @t191 @t192 @t347)) % 237.42/237.62 (define @t349 () (forall @t9 @t343)) % 237.42/237.62 (define @t350 () (or @t191 @t198 @t347)) % 237.42/237.62 (define @t351 () (tptp.cons @t341 tptp.nil)) % 237.42/237.62 (define @t352 () (tptp.ssList @t351)) % 237.42/237.62 (define @t353 () (not @t347)) % 237.42/237.62 (define @t354 () (or @t220 @t353 @t352)) % 237.42/237.62 (define @t355 () (@list @t351)) % 237.42/237.62 (define @t356 () (tptp.segmentP @t351 @t351)) % 237.42/237.62 (define @t357 () (not @t352)) % 237.42/237.62 (define @t358 () (or @t357 @t356)) % 237.42/237.62 (define @t359 () (@list false false)) % 237.42/237.62 (define @t360 () (@var "BOUND_VARIABLE_10198" $$unsorted)) % 237.42/237.62 (define @t361 () (@var "BOUND_VARIABLE_10202" $$unsorted)) % 237.42/237.62 (define @t362 () (@var "BOUND_VARIABLE_10200" $$unsorted)) % 237.42/237.62 (define @t363 () (tptp.segmentP (tptp.app (tptp.app @t362 @t2) @t361) @t360)) % 237.42/237.62 (define @t364 () (not (tptp.ssList @t361))) % 237.42/237.62 (define @t365 () (not (tptp.ssList @t362))) % 237.42/237.62 (define @t366 () (not (tptp.segmentP @t2 @t360))) % 237.42/237.62 (define @t367 () (not (tptp.ssList @t360))) % 237.42/237.62 (define @t368 () (or @t367 @t366 @t365 @t364 @t363)) % 237.42/237.62 (define @t369 () (or @t153 @t368)) % 237.42/237.62 (define @t370 () (forall (@list @t2 @t360 @t362 @t361) @t369)) % 237.42/237.62 (define @t371 () (@list @t360 @t362 @t361)) % 237.42/237.62 (define @t372 () (forall @t371 @t369)) % 237.42/237.62 (define @t373 () (forall @t371 @t368)) % 237.42/237.62 (define @t374 () (@var "BOUND_VARIABLE_10179" $$unsorted)) % 237.42/237.62 (define @t375 () (@var "BOUND_VARIABLE_10177" $$unsorted)) % 237.42/237.62 (define @t376 () (or @t153 @t373)) % 237.42/237.62 (define @t377 () (tptp.segmentP (tptp.app (tptp.app @t375 @t2) @t374) @t1)) % 237.42/237.62 (define @t378 () (not (tptp.ssList @t374))) % 237.42/237.62 (define @t379 () (not (tptp.ssList @t375))) % 237.42/237.62 (define @t380 () (not @t30)) % 237.42/237.62 (define @t381 () (or @t148 @t380 @t379 @t378 @t377)) % 237.42/237.62 (define @t382 () (@list @t1 @t375 @t374)) % 237.42/237.62 (define @t383 () (forall @t382 @t381)) % 237.42/237.62 (define @t384 () (or @t379 @t378 @t377)) % 237.42/237.62 (define @t385 () (or @t148 @t380 @t384)) % 237.42/237.62 (define @t386 () (forall @t382 @t385)) % 237.42/237.62 (define @t387 () (@list @t375 @t374)) % 237.42/237.62 (define @t388 () (forall @t387 @t385)) % 237.42/237.62 (define @t389 () (forall @t387 @t384)) % 237.42/237.62 (define @t390 () (@var "BOUND_VARIABLE_10160" $$unsorted)) % 237.42/237.62 (define @t391 () (or @t148 @t380 @t389)) % 237.42/237.62 (define @t392 () (tptp.segmentP (tptp.app @t89 @t390) @t1)) % 237.42/237.62 (define @t393 () (not (tptp.ssList @t390))) % 237.42/237.62 (define @t394 () (or @t254 @t393 @t392)) % 237.42/237.62 (define @t395 () (@list @t12 @t390)) % 237.42/237.62 (define @t396 () (forall @t395 @t394)) % 237.42/237.62 (define @t397 () (or @t148 @t380 @t396)) % 237.42/237.62 (define @t398 () (or @t380 @t396)) % 237.42/237.62 (define @t399 () (or @t393 @t392)) % 237.42/237.62 (define @t400 () (or @t254 @t399)) % 237.42/237.62 (define @t401 () (forall @t395 @t400)) % 237.42/237.62 (define @t402 () (@list @t390)) % 237.42/237.62 (define @t403 () (forall @t402 @t400)) % 237.42/237.62 (define @t404 () (forall @t402 @t399)) % 237.42/237.62 (define @t405 () (or @t254 @t404)) % 237.42/237.62 (define @t406 () (or @t268 @t94)) % 237.42/237.62 (define @t407 () (forall @t14 @t406)) % 237.42/237.62 (define @t408 () (or @t254 @t407)) % 237.42/237.62 (define @t409 () (forall @t16 @t408)) % 237.42/237.62 (define @t410 () (or @t380 @t409)) % 237.42/237.62 (define @t411 () (or @t380 @t408)) % 237.42/237.62 (define @t412 () (or @t254 @t380 @t407)) % 237.42/237.62 (define @t413 () (or @t380 @t407)) % 237.42/237.62 (define @t414 () (or @t380 @t406)) % 237.42/237.62 (define @t415 () (or @t268 @t380 @t94)) % 237.42/237.62 (define @t416 () (tptp.tl @t351)) % 237.42/237.62 (define @t417 () (tptp.segmentP @t351 tptp.nil)) % 237.42/237.62 (define @t418 () (or @t357 @t417)) % 237.42/237.62 (define @t419 () (tptp.segmentP @t351 @t215)) % 237.42/237.62 (define @t420 () (= @t215 @t351)) % 237.42/237.62 (define @t421 () (not @t420)) % 237.42/237.62 (define @t422 () (tptp.neq @t215 @t351)) % 237.42/237.62 (define @t423 () (= @t422 @t421)) % 237.42/237.62 (define @t424 () (or @t222 @t357 @t423)) % 237.42/237.62 (define @t425 () (= @t2 @t18)) % 237.42/237.62 (define @t426 () (= @t21 (not (forall @t7 (or @t324 (not @t425)))))) % 237.42/237.62 (define @t427 () (and @t6 @t425)) % 237.42/237.62 (define @t428 () (forall @t7 (not @t427))) % 237.42/237.62 (define @t429 () (not @t428)) % 237.42/237.62 (define @t430 () (forall @t7 (or @t324 (not (= tptp.nil @t18))))) % 237.42/237.62 (define @t431 () (not @t430)) % 237.42/237.62 (define @t432 () (= @t88 @t431)) % 237.42/237.62 (define @t433 () (or @t220 @t432)) % 237.42/237.62 (define @t434 () (not @t432)) % 237.42/237.62 (define @t435 () (@list @t341)) % 237.42/237.62 (define @t436 () (not (= tptp.nil @t351))) % 237.42/237.62 (define @t437 () (or @t353 @t436)) % 237.42/237.62 (define @t438 () (not @t423)) % 237.42/237.62 (define @t439 () (tptp.equalelemsP @t351)) % 237.42/237.62 (define @t440 () (or @t353 @t439)) % 237.42/237.62 (define @t441 () (not @t439)) % 237.42/237.62 (define @t442 () (not @t419)) % 237.42/237.62 (define @t443 () (not (tptp.segmentP @t185 @t351))) % 237.42/237.62 (define @t444 () (not @t422)) % 237.42/237.62 (define @t445 () (or @t357 @t444 @t443 @t442 @t441)) % 237.42/237.62 (define @t446 () (= @t2 @t112)) % 237.42/237.62 (define @t447 () (or @t153 @t152 @t446)) % 237.42/237.62 (define @t448 () (=> @t344 @t446)) % 237.42/237.62 (define @t449 () (tptp.cons @t341 @t328)) % 237.42/237.62 (define @t450 () (= @t185 @t449)) % 237.42/237.62 (define @t451 () (or @t191 @t192 @t450)) % 237.42/237.62 (define @t452 () (forall @t9 @t447)) % 237.42/237.62 (define @t453 () (or @t191 @t198 @t450)) % 237.42/237.62 (define @t454 () (@var "BOUND_VARIABLE_10523" $$unsorted)) % 237.42/237.62 (define @t455 () (= (tptp.cons @t454 @t2) (tptp.app (tptp.cons @t454 tptp.nil) @t2))) % 237.42/237.62 (define @t456 () (not (tptp.ssItem @t454))) % 237.42/237.62 (define @t457 () (or @t456 @t455)) % 237.42/237.62 (define @t458 () (or @t153 @t457)) % 237.42/237.62 (define @t459 () (forall (@list @t2 @t454) @t458)) % 237.42/237.62 (define @t460 () (@list @t454)) % 237.42/237.62 (define @t461 () (forall @t460 @t458)) % 237.42/237.62 (define @t462 () (forall @t460 @t457)) % 237.42/237.62 (define @t463 () (or @t153 @t462)) % 237.42/237.62 (define @t464 () (forall @t7 (or @t324 @t117))) % 237.42/237.62 (define @t465 () (= @t449 (tptp.app @t351 @t328))) % 237.42/237.62 (define @t466 () (not @t329)) % 237.42/237.62 (define @t467 () (or @t466 @t353 @t465)) % 237.42/237.62 (define @t468 () (= @t2 @t77)) % 237.42/237.62 (define @t469 () (= @t351 (tptp.app tptp.nil @t351))) % 237.42/237.62 (define @t470 () (or @t357 @t469)) % 237.42/237.62 (define @t471 () (= tptp.nil @t416)) % 237.42/237.62 (define @t472 () (or @t220 @t353 @t471)) % 237.42/237.62 (define @t473 () (tptp.app @t416 @t351)) % 237.42/237.62 (define @t474 () (tptp.app @t473 @t328)) % 237.42/237.62 (define @t475 () (tptp.segmentP @t474 @t351)) % 237.42/237.62 (define @t476 () (tptp.ssList @t416)) % 237.42/237.62 (define @t477 () (not @t476)) % 237.42/237.62 (define @t478 () (not @t356)) % 237.42/237.62 (define @t479 () (or @t357 @t357 @t478 @t477 @t466 @t475)) % 237.42/237.62 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 237.42/237.62 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 237.42/237.62 (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))))))))))) % 237.42/237.62 (assume @p4 @t24) % 237.42/237.62 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 237.42/237.62 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 237.42/237.62 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 237.42/237.62 (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))))))))))))))))) % 237.42/237.62 (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)))))))))))))))) % 237.42/237.62 (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))))))))))))))))) % 237.42/237.62 (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))))))))))))))) % 237.42/237.62 (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))))))))))))))) % 237.42/237.62 (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 @t42)))))))))))))))) % 237.42/237.62 (assume @p14 (forall @t9 (=> @t17 (= @t43 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t42))))))))))))) % 237.42/237.62 (assume @p15 @t46) % 237.42/237.62 (assume @p16 @t51) % 237.42/237.62 (assume @p17 @t52) % 237.42/237.62 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 237.42/237.62 (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))))))))))) % 237.42/237.62 (assume @p20 @t62) % 237.42/237.62 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 237.42/237.62 (assume @p22 @t68) % 237.42/237.62 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 237.42/237.62 (assume @p24 (forall @t9 (=> @t17 (=> @t65 (tptp.ssList @t69))))) % 237.42/237.62 (assume @p25 @t74) % 237.42/237.62 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t75)))))) % 237.42/237.62 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t76) (tptp.app @t54 @t2))))))))) % 237.42/237.62 (assume @p28 @t79) % 237.42/237.62 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t81 @t80) @t3)))))) % 237.42/237.62 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t81 @t32) (tptp.leq @t2 @t12))))))))) % 237.42/237.62 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 237.42/237.62 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t82 @t80)))))) % 237.42/237.62 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (not @t83))))))) % 237.42/237.62 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t84 @t41) @t85)))))))) % 237.42/237.62 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t86 @t83)))))) % 237.42/237.62 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t87))))))))) % 237.42/237.62 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t87))))))))) % 237.42/237.62 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 237.42/237.62 (assume @p39 (not @t88)) % 237.42/237.62 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 237.42/237.62 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 237.42/237.62 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 237.42/237.62 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 237.42/237.62 (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)))))))))))) % 237.42/237.62 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 237.42/237.62 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t59)))) % 237.42/237.62 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 237.42/237.62 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 237.42/237.62 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 237.42/237.62 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t89 @t1))))))))) % 237.42/237.62 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 237.42/237.62 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t59)))) % 237.42/237.62 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 @t90) (tptp.segmentP @t2 @t12))))))))) % 237.42/237.62 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 @t91) @t3)))))) % 237.42/237.62 (assume @p55 @t93) % 237.42/237.62 (assume @p56 @t102) % 237.42/237.62 (assume @p57 @t104) % 237.42/237.62 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t59)))) % 237.42/237.62 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t105)))) % 237.42/237.62 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 237.42/237.62 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t105)))) % 237.42/237.62 (assume @p62 (tptp.totalorderP tptp.nil)) % 237.42/237.62 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t105)))) % 237.42/237.62 (assume @p64 (tptp.strictorderP tptp.nil)) % 237.42/237.62 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t105)))) % 237.42/237.62 (assume @p66 (tptp.totalorderedP tptp.nil)) % 237.42/237.62 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t109) (or @t107 (and @t108 (tptp.totalorderedP @t1) (tptp.leq @t2 @t106))))))))) % 237.42/237.62 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t105)))) % 237.42/237.62 (assume @p69 (tptp.strictorderedP tptp.nil)) % 237.42/237.62 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t109) (or @t107 (and @t108 (tptp.strictorderedP @t1) (tptp.lt @t2 @t106))))))))) % 237.42/237.62 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t105)))) % 237.42/237.62 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 237.42/237.62 (assume @p73 @t111) % 237.42/237.62 (assume @p74 (tptp.equalelemsP tptp.nil)) % 237.42/237.62 (assume @p75 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t6 (= @t63 @t1))))))) % 237.42/237.62 (assume @p76 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t27 (= @t69 @t1))))))) % 237.42/237.62 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t108 @t65 (= @t106 @t63) (= (tptp.tl @t1) @t69)) @t53)))))) % 237.42/237.62 (assume @p78 @t115) % 237.42/237.62 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t75) @t116)))))))) % 237.42/237.62 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t76) @t116)))))))) % 237.42/237.62 (assume @p81 @t120) % 237.42/237.62 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t75 @t12) (tptp.app @t2 @t25))))))))) % 237.42/237.62 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t75) @t121)))))) % 237.42/237.62 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 237.42/237.62 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.hd @t75) @t63))))))) % 237.42/237.62 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.tl @t75) (tptp.app @t69 @t1)))))))) % 237.42/237.62 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t82 (tptp.geq @t1 @t2)) @t3)))))) % 237.42/237.62 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t82 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 237.42/237.62 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 237.42/237.62 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 237.42/237.62 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t81 @t41) @t85)))))))) % 237.42/237.62 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (or @t3 @t84))))))) % 237.42/237.62 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t84 (and @t4 @t81))))))) % 237.42/237.62 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t86 (not (tptp.gt @t1 @t2)))))))) % 237.42/237.62 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t86 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 237.42/237.62 (assume @p96 @t143) % 237.42/237.62 (assume @p97 true) % 237.42/237.62 (step @p98 :rule aci_norm :args ((= (or @t153 @t155) @t154))) % 237.42/237.62 (step @p99 :rule bool-impl-elim :args (@t17 @t155)) % 237.42/237.62 (step @p100 :rule trans :premises (@p99 @p98)) % 237.42/237.62 (step @p101 :rule cong :premises (@p100) :args ((forall @t9 (=> @t17 @t155)))) % 237.42/237.62 (step @p102 :rule aci_norm :args ((= @t157 @t149))) % 237.42/237.62 (step @p103 :rule cong :premises (@p102) :args (@t158)) % 237.42/237.62 (step @p104 :rule quant-merge-prenex :args ((= (forall @t7 @t160) @t158))) % 237.42/237.62 (step @p105 :rule alpha_equiv :args (@t161 (@list @t144) (@list @t12))) % 237.42/237.62 (step @p106 :rule refl :args (@t148)) % 237.42/237.62 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t162)) % 237.42/237.62 (step @p108 :rule quant-miniscope-or :args ((= @t160 @t162))) % 237.42/237.62 (step @p109 :rule trans :premises (@p108 @p107)) % 237.42/237.62 (step @p110 :rule symm :premises (@p109)) % 237.42/237.62 (step @p111 :rule cong :premises (@p110) :args ((forall @t7 (or @t148 @t164)))) % 237.42/237.62 (step @p112 :rule trans :premises (@p111 @p104)) % 237.42/237.62 (step @p113 :rule trans :premises (@p112 @p103)) % 237.42/237.62 (step @p114 :rule bool-double-not-elim :args (@t164)) % 237.42/237.62 (step @p115 :rule nary_cong :premises (@p106 @p114) :args ((or @t148 (not @t165)))) % 237.42/237.62 (step @p116 :rule bool-and-de-morgan :args (@t27 @t165 true)) % 237.42/237.62 (step @p117 :rule trans :premises (@p116 @p115)) % 237.42/237.62 (step @p118 :rule cong :premises (@p117) :args (@t167)) % 237.42/237.62 (step @p119 :rule trans :premises (@p118 @p113)) % 237.42/237.62 (step @p120 :rule cong :premises (@p119) :args (@t168)) % 237.42/237.62 (step @p121 :rule exists-elim :args ((= (exists @t7 @t166) @t168))) % 237.42/237.62 (step @p122 :rule trans :premises (@p121 @p120)) % 237.42/237.62 (step @p123 :rule bool-and-de-morgan :args (@t40 @t163 true)) % 237.42/237.62 (step @p124 :rule cong :premises (@p123) :args (@t170)) % 237.42/237.62 (step @p125 :rule cong :premises (@p124) :args (@t171)) % 237.42/237.62 (step @p126 :rule exists-elim :args ((= (exists @t16 @t169) @t171))) % 237.42/237.62 (step @p127 :rule trans :premises (@p126 @p125)) % 237.42/237.62 (step @p128 :rule eq-symm :args (@t54 @t2)) % 237.42/237.62 (step @p129 :rule refl :args (@t40)) % 237.42/237.62 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t55)) % 237.42/237.62 (step @p131 :rule cong :premises (@p130) :args (@t56)) % 237.42/237.62 (step @p132 :rule trans :premises (@p131 @p127)) % 237.42/237.62 (step @p133 :rule refl :args (@t27)) % 237.42/237.62 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t57)) % 237.42/237.62 (step @p135 :rule cong :premises (@p134) :args (@t58)) % 237.42/237.62 (step @p136 :rule trans :premises (@p135 @p122)) % 237.42/237.62 (step @p137 :rule eq-symm :args (tptp.nil @t2)) % 237.42/237.62 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t60)) % 237.42/237.62 (step @p139 :rule refl :args (@t17)) % 237.42/237.62 (step @p140 :rule cong :premises (@p139 @p138) :args (@t61)) % 237.42/237.62 (step @p141 :rule cong :premises (@p140) :args (@t62)) % 237.42/237.62 (step @p142 :rule trans :premises (@p141 @p101)) % 237.42/237.62 (step @p143 :rule eq_resolve :premises (@p20 @p142)) % 237.42/237.62 (step @p144 :rule eq-symm :args (@t185 @t145)) % 237.42/237.62 (step @p145 :rule cong :premises (@p144) :args (@t186)) % 237.42/237.62 (step @p146 :rule refl :args (@t147)) % 237.42/237.62 (step @p147 :rule refl :args (@t148)) % 237.42/237.62 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args (@t187)) % 237.42/237.62 (step @p149 :rule cong :premises (@p148) :args (@t188)) % 237.42/237.62 (step @p150 :rule cong :premises (@p149) :args (@t189)) % 237.42/237.62 (step @p151 :rule eq-symm :args (@t185 tptp.nil)) % 237.42/237.62 (step @p152 :rule refl :args (@t191)) % 237.42/237.62 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150) :args (@t193)) % 237.42/237.62 (step @p154 :rule refl :args (@t194)) % 237.42/237.62 (step @p155 :rule cong :premises (@p154 @p153) :args ((=> @t194 @t193))) % 237.42/237.62 (assume-push @p796 @t194) % 237.42/237.62 (step @p157 :rule instantiate :premises (@p143) :args (@t195)) % 237.42/237.62 (step-pop @p797 :rule scope :premises (@p157)) % 237.42/237.62 (step @p158 :rule process_scope :premises (@p797) :args (@t193)) % 237.42/237.62 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 237.42/237.62 (step @p161 :rule implies_elim :premises (@p160)) % 237.42/237.62 (step @p162 :rule chain_m_resolution :premises (@p161 @p143) :args (@t199 @t200 (@list @t194))) % 237.42/237.62 (step @p163 :rule aci_norm :args ((= @t206 @t204))) % 237.42/237.62 (step @p164 :rule cong :premises (@p163) :args (@t208)) % 237.42/237.62 (step @p165 :rule quant-merge-prenex :args ((= (forall @t9 @t210) @t208))) % 237.42/237.62 (step @p166 :rule alpha_equiv :args (@t211 (@list @t201) @t212)) % 237.42/237.62 (step @p167 :rule refl :args (@t153)) % 237.42/237.62 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t213)) % 237.42/237.62 (step @p169 :rule quant-miniscope-or :args ((= @t210 @t213))) % 237.42/237.62 (step @p170 :rule trans :premises (@p169 @p168)) % 237.42/237.62 (step @p171 :rule symm :premises (@p170)) % 237.42/237.62 (step @p172 :rule cong :premises (@p171) :args ((forall @t9 (or @t153 @t214)))) % 237.42/237.62 (step @p173 :rule trans :premises (@p172 @p165)) % 237.42/237.62 (step @p174 :rule trans :premises (@p173 @p164)) % 237.42/237.62 (step @p175 :rule bool-impl-elim :args (@t17 @t214)) % 237.42/237.62 (step @p176 :rule cong :premises (@p175) :args ((forall @t9 (=> @t17 @t214)))) % 237.42/237.62 (step @p177 :rule trans :premises (@p176 @p174)) % 237.42/237.62 (step @p178 :rule bool-impl-elim :args (@t27 @t5)) % 237.42/237.62 (step @p179 :rule cong :premises (@p178) :args (@t44)) % 237.42/237.62 (step @p180 :rule cong :premises (@p139 @p179) :args (@t45)) % 237.42/237.62 (step @p181 :rule cong :premises (@p180) :args (@t46)) % 237.42/237.62 (step @p182 :rule trans :premises (@p181 @p177)) % 237.42/237.62 (step @p183 :rule eq_resolve :premises (@p15 @p182)) % 237.42/237.62 (step @p184 :rule eq-symm :args (@t215 tptp.nil)) % 237.42/237.62 (step @p185 :rule cong :premises (@p184) :args (@t217)) % 237.42/237.62 (step @p186 :rule refl :args (@t218)) % 237.42/237.62 (step @p187 :rule cong :premises (@p186 @p185) :args (@t219)) % 237.42/237.62 (step @p188 :rule refl :args (@t220)) % 237.42/237.62 (step @p189 :rule refl :args (@t222)) % 237.42/237.62 (step @p190 :rule nary_cong :premises (@p189 @p188 @p187) :args (@t223)) % 237.42/237.62 (step @p191 :rule refl :args (@t224)) % 237.42/237.62 (step @p192 :rule cong :premises (@p191 @p190) :args ((=> @t224 @t223))) % 237.42/237.62 (assume-push @p798 @t224) % 237.42/237.62 (step @p194 :rule instantiate :premises (@p183) :args ((@list @t215 tptp.nil))) % 237.42/237.62 (step-pop @p799 :rule scope :premises (@p194)) % 237.42/237.62 (step @p195 :rule 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:premises (@p644 @p641)) % 237.42/237.62 (step @p646 :rule true_elim :premises (@p645)) % 237.42/237.62 (step @p647 :rule instantiate :premises (@p183) :args ((@list @t215 @t351))) % 237.42/237.62 (step @p648 :rule cnf_or_pos :args (@t424)) % 237.42/237.62 (step @p649 :rule reordering :premises (@p648) :args ((or @t222 @t357 @t423 (not @t424)))) % 237.42/237.62 (step @p650 :rule chain_m_resolution :premises (@p649 @p378 @p542 @p647) :args (@t423 @t293 (@list @t221 @t352 @t424))) % 237.42/237.62 (step @p651 :rule bool-impl-elim :args (@t17 @t426)) % 237.42/237.62 (step @p652 :rule cong :premises (@p651) :args ((forall @t9 (=> @t17 @t426)))) % 237.42/237.62 (step @p653 :rule bool-and-de-morgan :args (@t6 @t425 true)) % 237.42/237.62 (step @p654 :rule cong :premises (@p653) :args (@t428)) % 237.42/237.62 (step @p655 :rule cong :premises (@p654) :args (@t429)) % 237.42/237.62 (step @p656 :rule exists-elim :args ((= (exists @t7 @t427) @t429))) % 237.42/237.62 (step @p657 :rule trans :premises (@p656 @p655)) % 237.42/237.62 (step @p658 :rule eq-symm :args (@t18 @t2)) % 237.42/237.62 (step @p659 :rule nary_cong :premises (@p457 @p658) :args (@t19)) % 237.42/237.62 (step @p660 :rule cong :premises (@p659) :args (@t20)) % 237.42/237.62 (step @p661 :rule trans :premises (@p660 @p657)) % 237.42/237.62 (step @p662 :rule refl :args (@t21)) % 237.42/237.62 (step @p663 :rule cong :premises (@p662 @p661) :args (@t22)) % 237.42/237.62 (step @p664 :rule cong :premises (@p139 @p663) :args (@t23)) % 237.42/237.62 (step @p665 :rule cong :premises (@p664) :args (@t24)) % 237.42/237.62 (step @p666 :rule trans :premises (@p665 @p652)) % 237.42/237.62 (step @p667 :rule eq_resolve :premises (@p4 @p666)) % 237.42/237.62 (step @p668 :rule instantiate :premises (@p667) :args ((@list tptp.nil))) % 237.42/237.62 (step @p669 :rule cnf_or_pos :args (@t433)) % 237.42/237.62 (step @p670 :rule reordering :premises (@p669) :args ((or @t220 @t432 (not @t433)))) % 237.42/237.62 (step @p671 :rule chain_m_resolution :premises (@p670 @p17 @p668) :args (@t432 @t359 (@list @t52 @t433))) % 237.42/237.62 (step @p672 :rule bool-double-not-elim :args (@t430)) % 237.42/237.62 (step @p673 :rule refl :args (@t88)) % 237.42/237.62 (step @p674 :rule refl :args (@t434)) % 237.42/237.62 (step @p675 :rule nary_cong :premises (@p674 @p673 @p672) :args ((or @t434 @t88 (not @t431)))) % 237.42/237.62 (step @p676 :rule cnf_equiv_pos2 :args (@t432)) % 237.42/237.62 (step @p677 :rule eq_resolve :premises (@p676 @p675)) % 237.42/237.62 (step @p678 :rule reordering :premises (@p677) :args ((or @t88 @t430 @t434))) % 237.42/237.62 (step @p679 :rule chain_m_resolution :premises (@p678 @p39 @p671) :args (@t430 @t295 (@list @t88 @t432))) % 237.42/237.62 (step @p680 :rule instantiate :premises (@p679) :args (@t435)) % 237.42/237.62 (step @p681 :rule cnf_or_pos :args (@t437)) % 237.42/237.62 (step @p682 :rule reordering :premises (@p681) :args ((or @t353 @t436 (not @t437)))) % 237.42/237.62 (step @p683 :rule chain_m_resolution :premises (@p682 @p539 @p680) :args (@t436 @t359 (@list @t347 @t437))) % 237.42/237.62 (step @p684 :rule false_intro :premises (@p683)) % 237.42/237.62 (step @p685 :rule cong :premises (@p642 @p643) :args (@t420)) % 237.42/237.62 (step @p686 :rule trans :premises (@p685 @p684)) % 237.42/237.62 (step @p687 :rule false_elim :premises (@p686)) % 237.42/237.62 (step @p688 :rule bool-double-not-elim :args (@t420)) % 237.42/237.62 (step @p689 :rule refl :args (@t422)) % 237.42/237.62 (step @p690 :rule refl :args (@t438)) % 237.42/237.62 (step @p691 :rule nary_cong :premises (@p690 @p689 @p688) :args ((or @t438 @t422 (not @t421)))) % 237.42/237.62 (step @p692 :rule cnf_equiv_pos2 :args (@t423)) % 237.42/237.62 (step @p693 :rule eq_resolve :premises (@p692 @p691)) % 237.42/237.62 (step @p694 :rule reordering :premises (@p693) :args ((or @t422 @t420 @t438))) % 237.42/237.62 (step @p695 :rule chain_m_resolution :premises (@p694 @p687 @p650) :args (@t422 @t295 (@list @t420 @t423))) % 237.42/237.62 (step @p696 :rule bool-impl-elim :args (@t8 @t110)) % 237.42/237.62 (step @p697 :rule cong :premises (@p696) :args (@t111)) % 237.42/237.62 (step @p698 :rule eq_resolve :premises (@p73 @p697)) % 237.42/237.62 (step @p699 :rule instantiate :premises (@p698) :args (@t435)) % 237.42/237.62 (step @p700 :rule cnf_or_pos :args (@t440)) % 237.42/237.62 (step @p701 :rule reordering :premises (@p700) :args ((or @t353 @t439 (not @t440)))) % 237.42/237.62 (step @p702 :rule chain_m_resolution :premises (@p701 @p539 @p699) :args (@t439 @t359 (@list @t347 @t440))) % 237.42/237.62 (step @p703 :rule cnf_or_pos :args (@t445)) % 237.42/237.62 (step @p704 :rule reordering :premises (@p703) :args ((or @t441 @t357 @t444 @t443 @t442 (not @t445)))) % 237.42/237.62 (step @p705 :rule chain_m_resolution :premises (@p704 @p702 @p542 @p695 @p646 @p633) :args (@t443 (@list false false false false false) (@list @t439 @t352 @t422 @t419 @t445))) % 237.42/237.62 (step @p706 :rule false_intro :premises (@p705)) % 237.42/237.62 (step @p707 :rule aci_norm :args ((= (or @t153 (or @t152 @t446)) @t447))) % 237.42/237.62 (step @p708 :rule refl :args (@t446)) % 237.42/237.62 (step @p709 :rule nary_cong :premises (@p510 @p708) :args ((or @t345 @t446))) % 237.42/237.62 (step @p710 :rule bool-impl-elim :args (@t344 @t446)) % 237.42/237.62 (step @p711 :rule trans :premises (@p710 @p709)) % 237.42/237.62 (step @p712 :rule nary_cong :premises (@p167 @p711) :args ((or @t153 @t448))) % 237.42/237.62 (step @p713 :rule trans :premises (@p712 @p707)) % 237.42/237.62 (step @p714 :rule bool-impl-elim :args (@t17 @t448)) % 237.42/237.62 (step @p715 :rule trans :premises (@p714 @p713)) % 237.42/237.62 (step @p716 :rule cong :premises (@p715) :args ((forall @t9 (=> @t17 @t448)))) % 237.42/237.62 (step @p717 :rule eq-symm :args (@t112 @t2)) % 237.42/237.62 (step @p718 :rule cong :premises (@p520 @p717) :args (@t113)) % 237.42/237.62 (step @p719 :rule cong :premises (@p139 @p718) :args (@t114)) % 237.42/237.62 (step @p720 :rule cong :premises (@p719) :args (@t115)) % 237.42/237.62 (step @p721 :rule trans :premises (@p720 @p716)) % 237.42/237.62 (step @p722 :rule eq_resolve :premises (@p78 @p721)) % 237.42/237.62 (step @p723 :rule refl :args (@t450)) % 237.42/237.62 (step @p724 :rule nary_cong :premises (@p152 @p151 @p723) :args (@t451)) % 237.42/237.62 (step @p725 :rule refl :args (@t452)) % 237.42/237.62 (step @p726 :rule cong :premises (@p725 @p724) :args ((=> @t452 @t451))) % 237.42/237.62 (assume-push @p806 @t452) % 237.42/237.62 (step @p728 :rule instantiate :premises (@p722) :args (@t195)) % 237.42/237.62 (step-pop @p807 :rule scope :premises (@p728)) % 237.42/237.62 (step @p729 :rule process_scope :premises (@p807) :args (@t451)) % 237.42/237.62 (step @p731 :rule eq_resolve :premises (@p729 @p726)) % 237.42/237.62 (step @p732 :rule implies_elim :premises (@p731)) % 237.42/237.62 (step @p733 :rule chain_m_resolution :premises (@p732 @p722) :args (@t453 @t200 (@list @t452))) % 237.42/237.62 (step @p734 :rule cnf_or_pos :args (@t453)) % 237.42/237.62 (step @p735 :rule reordering :premises (@p734) :args ((or @t191 @t198 @t450 (not @t453)))) % 237.42/237.62 (step @p736 :rule chain_m_resolution :premises (@p735 @p409 @p403 @p733) :args (@t450 @t297 (@list @t190 @t198 @t453))) % 237.42/237.62 (step @p737 :rule symm :premises (@p736)) % 237.42/237.62 (step @p738 :rule aci_norm :args ((= @t458 (or @t153 @t456 @t455)))) % 237.42/237.62 (step @p739 :rule cong :premises (@p738) :args (@t459)) % 237.42/237.62 (step @p740 :rule quant-merge-prenex :args ((= (forall @t9 @t461) @t459))) % 237.42/237.62 (step @p741 :rule alpha_equiv :args (@t462 (@list @t454) @t212)) % 237.42/237.62 (step @p742 :rule nary_cong :premises (@p167 @p741) :args (@t463)) % 237.42/237.62 (step @p743 :rule quant-miniscope-or :args ((= @t461 @t463))) % 237.42/237.62 (step @p744 :rule trans :premises (@p743 @p742)) % 237.42/237.62 (step @p745 :rule symm :premises (@p744)) % 237.42/237.62 (step @p746 :rule cong :premises (@p745) :args ((forall @t9 (or @t153 @t464)))) % 237.42/237.62 (step @p747 :rule trans :premises (@p746 @p740)) % 237.42/237.62 (step @p748 :rule trans :premises (@p747 @p739)) % 237.42/237.62 (step @p749 :rule bool-impl-elim :args (@t17 @t464)) % 237.42/237.62 (step @p750 :rule cong :premises (@p749) :args ((forall @t9 (=> @t17 @t464)))) % 237.42/237.62 (step @p751 :rule trans :premises (@p750 @p748)) % 237.42/237.62 (step @p752 :rule bool-impl-elim :args (@t6 @t117)) % 237.42/237.62 (step @p753 :rule cong :premises (@p752) :args (@t118)) % 237.42/237.62 (step @p754 :rule cong :premises (@p139 @p753) :args (@t119)) % 237.42/237.62 (step @p755 :rule cong :premises (@p754) :args (@t120)) % 237.42/237.62 (step @p756 :rule trans :premises (@p755 @p751)) % 237.42/237.62 (step @p757 :rule eq_resolve :premises (@p81 @p756)) % 237.42/237.62 (step @p758 :rule instantiate :premises (@p757) :args ((@list @t328 @t341))) % 237.42/237.63 (step @p759 :rule cnf_or_pos :args (@t467)) % 237.42/237.63 (step @p760 :rule reordering :premises (@p759) :args ((or @t353 @t466 @t465 (not @t467)))) % 237.42/237.63 (step @p761 :rule chain_m_resolution :premises (@p760 @p539 @p486 @p758) :args (@t465 @t293 (@list @t347 @t329 @t467))) % 237.42/237.63 (step @p762 :rule symm :premises (@p761)) % 237.42/237.63 (step @p763 :rule refl :args (@t328)) % 237.42/237.63 (step @p764 :rule bool-impl-elim :args (@t17 @t468)) % 237.42/237.63 (step @p765 :rule cong :premises (@p764) :args ((forall @t9 (=> @t17 @t468)))) % 237.42/237.63 (step @p766 :rule eq-symm :args (@t77 @t2)) % 237.42/237.63 (step @p767 :rule cong :premises (@p139 @p766) :args (@t78)) % 237.42/237.63 (step @p768 :rule cong :premises (@p767) :args (@t79)) % 237.42/237.63 (step @p769 :rule trans :premises (@p768 @p765)) % 237.42/237.63 (step @p770 :rule eq_resolve :premises (@p28 @p769)) % 237.42/237.63 (step @p771 :rule instantiate :premises (@p770) :args (@t355)) % 237.42/237.63 (step @p772 :rule cnf_or_pos :args (@t470)) % 237.42/237.63 (step @p773 :rule reordering :premises (@p772) :args ((or @t357 @t469 (not @t470)))) % 237.42/237.63 (step @p774 :rule chain_m_resolution :premises (@p773 @p542 @p771) :args (@t469 @t359 (@list @t352 @t470))) % 237.42/237.63 (step @p775 :rule symm :premises (@p774)) % 237.42/237.63 (step @p776 :rule instantiate :premises (@p464) :args (@t342)) % 237.42/237.63 (step @p777 :rule cnf_or_pos :args (@t472)) % 237.42/237.63 (step @p778 :rule reordering :premises (@p777) :args ((or @t220 @t353 @t471 (not @t472)))) % 237.42/237.63 (step @p779 :rule chain_m_resolution :premises (@p778 @p17 @p539 @p776) :args (@t471 @t293 (@list @t52 @t347 @t472))) % 237.42/237.63 (step @p780 :rule symm :premises (@p779)) % 237.42/237.63 (step @p781 :rule cong :premises (@p780 @p643) :args (@t473)) % 237.42/237.63 (step @p782 :rule trans :premises (@p781 @p775)) % 237.42/237.63 (step @p783 :rule cong :premises (@p782 @p763) :args (@t474)) % 237.42/237.63 (step @p784 :rule trans :premises (@p783 @p762 @p737)) % 237.42/237.63 (step @p785 :rule cong :premises (@p784 @p643) :args (@t475)) % 237.42/237.63 (step @p786 :rule trans :premises (@p785 @p706)) % 237.42/237.63 (step @p787 :rule false_elim :premises (@p786)) % 237.42/237.63 (step @p788 :rule true_intro :premises (@p17)) % 237.42/237.63 (step @p789 :rule cong :premises (@p780) :args (@t476)) % 237.42/237.63 (step @p790 :rule trans :premises (@p789 @p788)) % 237.42/237.63 (step @p791 :rule true_elim :premises (@p790)) % 237.42/237.63 (step @p792 :rule cnf_or_pos :args (@t479)) % 237.42/237.63 (step @p793 :rule factoring :premises (@p792)) % 237.42/237.63 (step @p794 :rule reordering :premises (@p793) :args ((or @t466 @t357 @t478 @t477 @t475 (not @t479)))) % 237.42/237.63 (step @p795 false :rule chain_m_resolution :premises (@p794 @p791 @p787 @p626 @p549 @p542 @p486) :args (false (@list false true false false false false) (@list @t476 @t475 @t479 @t356 @t352 @t329))) % 237.42/237.63 ) % 237.42/237.63 % SZS output end Proof % 237.42/237.63 % cvc5 exiting %------------------------------------------------------------------------------