%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC062+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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:53 AM UTC 2026 % Result : Theorem 220.34s 220.69s % Output : Proof 220.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC062+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 % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:12:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 220.34/220.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 220.34/220.69 --- Run --no-e-matching --full-saturate-quant at 6... % 220.34/220.69 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 220.34/220.69 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 220.34/220.69 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 220.34/220.69 --- Run --trigger-sel=max --full-saturate-quant at 15... % 220.34/220.69 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 220.34/220.69 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 220.34/220.69 --- Run --prenex-quant=none --full-saturate-quant at 30... % 220.34/220.69 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 220.34/220.69 --- Run --relevant-triggers --full-saturate-quant at 30... % 220.34/220.69 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 220.34/220.69 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 220.34/220.69 % SZS status Theorem % 220.34/220.69 % SZS output start Proof % 220.34/220.69 ( % 220.34/220.69 (declare-sort $$unsorted 0) % 220.34/220.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 220.34/220.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 220.34/220.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 220.34/220.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 220.34/220.69 (declare-const tptp.nil $$unsorted) % 220.34/220.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 220.34/220.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 220.34/220.69 (define @t1 () (@var "V" $$unsorted)) % 220.34/220.69 (define @t2 () (@var "U" $$unsorted)) % 220.34/220.69 (define @t3 () (= @t2 @t1)) % 220.34/220.69 (define @t4 () (not @t3)) % 220.34/220.69 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 220.34/220.69 (define @t6 () (tptp.ssItem @t1)) % 220.34/220.69 (define @t7 () (@list @t1)) % 220.34/220.69 (define @t8 () (tptp.ssItem @t2)) % 220.34/220.69 (define @t9 () (@list @t2)) % 220.34/220.69 (define @t10 () (@var "X" $$unsorted)) % 220.34/220.69 (define @t11 () (tptp.cons @t1 @t10)) % 220.34/220.69 (define @t12 () (@var "W" $$unsorted)) % 220.34/220.69 (define @t13 () (tptp.ssList @t10)) % 220.34/220.69 (define @t14 () (@list @t10)) % 220.34/220.69 (define @t15 () (tptp.ssList @t12)) % 220.34/220.69 (define @t16 () (@list @t12)) % 220.34/220.69 (define @t17 () (tptp.ssList @t2)) % 220.34/220.69 (define @t18 () (tptp.cons @t1 tptp.nil)) % 220.34/220.69 (define @t19 () (tptp.app @t1 @t12)) % 220.34/220.69 (define @t20 () (tptp.frontsegP @t2 @t1)) % 220.34/220.69 (define @t21 () (tptp.ssList @t1)) % 220.34/220.69 (define @t22 () (tptp.app @t12 @t1)) % 220.34/220.69 (define @t23 () (tptp.rearsegP @t2 @t1)) % 220.34/220.69 (define @t24 () (tptp.segmentP @t2 @t1)) % 220.34/220.69 (define @t25 () (tptp.leq @t12 @t1)) % 220.34/220.69 (define @t26 () (tptp.leq @t1 @t12)) % 220.34/220.69 (define @t27 () (@var "Z" $$unsorted)) % 220.34/220.69 (define @t28 () (@var "Y" $$unsorted)) % 220.34/220.69 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 220.34/220.69 (define @t30 () (tptp.ssList @t27)) % 220.34/220.69 (define @t31 () (@list @t27)) % 220.34/220.69 (define @t32 () (tptp.ssList @t28)) % 220.34/220.69 (define @t33 () (@list @t28)) % 220.34/220.69 (define @t34 () (tptp.ssItem @t12)) % 220.34/220.69 (define @t35 () (tptp.lt @t1 @t12)) % 220.34/220.69 (define @t36 () (= @t1 @t12)) % 220.34/220.69 (define @t37 () (forall @t7 (=> @t21 @t5))) % 220.34/220.69 (define @t38 () (=> @t17 @t37)) % 220.34/220.69 (define @t39 () (forall @t9 @t38)) % 220.34/220.69 (define @t40 () (tptp.cons @t1 @t2)) % 220.34/220.69 (define @t41 () (tptp.ssList @t40)) % 220.34/220.69 (define @t42 () (forall @t7 (=> @t6 @t41))) % 220.34/220.69 (define @t43 () (=> @t17 @t42)) % 220.34/220.69 (define @t44 () (forall @t9 @t43)) % 220.34/220.69 (define @t45 () (tptp.ssList tptp.nil)) % 220.34/220.69 (define @t46 () (= @t1 @t2)) % 220.34/220.69 (define @t47 () (tptp.cons @t12 @t1)) % 220.34/220.69 (define @t48 () (= tptp.nil @t2)) % 220.34/220.69 (define @t49 () (tptp.hd @t2)) % 220.34/220.69 (define @t50 () (tptp.ssItem @t49)) % 220.34/220.69 (define @t51 () (not @t48)) % 220.34/220.69 (define @t52 () (=> @t51 @t50)) % 220.34/220.69 (define @t53 () (=> @t17 @t52)) % 220.34/220.69 (define @t54 () (forall @t9 @t53)) % 220.34/220.69 (define @t55 () (tptp.tl @t2)) % 220.34/220.69 (define @t56 () (tptp.ssList @t55)) % 220.34/220.69 (define @t57 () (=> @t51 @t56)) % 220.34/220.69 (define @t58 () (=> @t17 @t57)) % 220.34/220.69 (define @t59 () (forall @t9 @t58)) % 220.34/220.69 (define @t60 () (tptp.app @t2 @t1)) % 220.34/220.69 (define @t61 () (tptp.app @t1 @t2)) % 220.34/220.69 (define @t62 () (tptp.app tptp.nil @t2)) % 220.34/220.69 (define @t63 () (=> @t17 (= @t62 @t2))) % 220.34/220.69 (define @t64 () (forall @t9 @t63)) % 220.34/220.69 (define @t65 () (tptp.leq @t1 @t2)) % 220.34/220.69 (define @t66 () (tptp.leq @t2 @t1)) % 220.34/220.69 (define @t67 () (tptp.geq @t2 @t1)) % 220.34/220.69 (define @t68 () (tptp.lt @t1 @t2)) % 220.34/220.69 (define @t69 () (tptp.lt @t2 @t1)) % 220.34/220.69 (define @t70 () (tptp.lt @t2 @t12)) % 220.34/220.69 (define @t71 () (tptp.gt @t2 @t1)) % 220.34/220.69 (define @t72 () (tptp.memberP @t12 @t2)) % 220.34/220.69 (define @t73 () (tptp.app @t12 @t2)) % 220.34/220.69 (define @t74 () (tptp.segmentP @t2 @t2)) % 220.34/220.69 (define @t75 () (forall @t9 (=> @t17 @t74))) % 220.34/220.69 (define @t76 () (tptp.segmentP (tptp.app @t73 @t10) @t1)) % 220.34/220.69 (define @t77 () (=> @t24 @t76)) % 220.34/220.69 (define @t78 () (forall @t14 (=> @t13 @t77))) % 220.34/220.69 (define @t79 () (=> @t15 @t78)) % 220.34/220.69 (define @t80 () (forall @t16 @t79)) % 220.34/220.69 (define @t81 () (=> @t21 @t80)) % 220.34/220.69 (define @t82 () (forall @t7 @t81)) % 220.34/220.69 (define @t83 () (=> @t17 @t82)) % 220.34/220.69 (define @t84 () (forall @t9 @t83)) % 220.34/220.69 (define @t85 () (tptp.cons @t2 tptp.nil)) % 220.34/220.69 (define @t86 () (tptp.hd @t1)) % 220.34/220.69 (define @t87 () (= tptp.nil @t1)) % 220.34/220.69 (define @t88 () (not @t87)) % 220.34/220.69 (define @t89 () (tptp.cons @t2 @t1)) % 220.34/220.69 (define @t90 () (tptp.cons @t49 @t55)) % 220.34/220.69 (define @t91 () (=> @t51 (= @t90 @t2))) % 220.34/220.69 (define @t92 () (=> @t17 @t91)) % 220.34/220.69 (define @t93 () (forall @t9 @t92)) % 220.34/220.69 (define @t94 () (= @t12 @t2)) % 220.34/220.69 (define @t95 () (= @t40 (tptp.app @t18 @t2))) % 220.34/220.69 (define @t96 () (forall @t7 (=> @t6 @t95))) % 220.34/220.69 (define @t97 () (=> @t17 @t96)) % 220.34/220.69 (define @t98 () (forall @t9 @t97)) % 220.34/220.69 (define @t99 () (tptp.app @t2 tptp.nil)) % 220.34/220.69 (define @t100 () (=> @t17 (= @t99 @t2))) % 220.34/220.69 (define @t101 () (forall @t9 @t100)) % 220.34/220.69 (define @t102 () (= (tptp.tl @t60) (tptp.app @t55 @t1))) % 220.34/220.69 (define @t103 () (=> @t51 @t102)) % 220.34/220.69 (define @t104 () (=> @t21 @t103)) % 220.34/220.69 (define @t105 () (forall @t7 @t104)) % 220.34/220.69 (define @t106 () (=> @t17 @t105)) % 220.34/220.69 (define @t107 () (forall @t9 @t106)) % 220.34/220.69 (define @t108 () (@var "X1" $$unsorted)) % 220.34/220.69 (define @t109 () (tptp.segmentP @t2 @t108)) % 220.34/220.69 (define @t110 () (tptp.segmentP @t1 @t108)) % 220.34/220.69 (define @t111 () (tptp.neq @t108 tptp.nil)) % 220.34/220.69 (define @t112 () (tptp.ssList @t108)) % 220.34/220.69 (define @t113 () (and @t112 @t111 @t110 @t109)) % 220.34/220.69 (define @t114 () (@list @t108)) % 220.34/220.69 (define @t115 () (exists @t114 @t113)) % 220.34/220.69 (define @t116 () (not (tptp.neq @t1 tptp.nil))) % 220.34/220.69 (define @t117 () (or @t116 @t115)) % 220.34/220.69 (define @t118 () (or @t88 @t48)) % 220.34/220.69 (define @t119 () (and @t118 @t117)) % 220.34/220.69 (define @t120 () (not (= tptp.nil @t12))) % 220.34/220.69 (define @t121 () (and @t120 (= tptp.nil @t10))) % 220.34/220.69 (define @t122 () (tptp.cons @t28 tptp.nil)) % 220.34/220.69 (define @t123 () (tptp.app @t122 @t27)) % 220.34/220.69 (define @t124 () (tptp.app @t27 @t122)) % 220.34/220.69 (define @t125 () (not (= @t124 @t12))) % 220.34/220.69 (define @t126 () (and @t30 @t125 (= @t123 @t10))) % 220.34/220.69 (define @t127 () (exists @t31 @t126)) % 220.34/220.69 (define @t128 () (tptp.ssItem @t28)) % 220.34/220.69 (define @t129 () (and @t128 @t127)) % 220.34/220.69 (define @t130 () (exists @t33 @t129)) % 220.34/220.69 (define @t131 () (not (= @t2 @t12))) % 220.34/220.69 (define @t132 () (not (= @t1 @t10))) % 220.34/220.69 (define @t133 () (or @t132 @t131 @t130 @t121 @t119)) % 220.34/220.69 (define @t134 () (=> @t13 @t133)) % 220.34/220.69 (define @t135 () (forall @t14 @t134)) % 220.34/220.69 (define @t136 () (=> @t15 @t135)) % 220.34/220.69 (define @t137 () (forall @t16 @t136)) % 220.34/220.69 (define @t138 () (=> @t21 @t137)) % 220.34/220.69 (define @t139 () (forall @t7 @t138)) % 220.34/220.69 (define @t140 () (=> @t17 @t139)) % 220.34/220.69 (define @t141 () (forall @t9 @t140)) % 220.34/220.69 (define @t142 () (not @t141)) % 220.34/220.69 (define @t143 () (@var "BOUND_VARIABLE_11039" $$unsorted)) % 220.34/220.69 (define @t144 () (= tptp.nil @t143)) % 220.34/220.69 (define @t145 () (= @t2 tptp.nil)) % 220.34/220.69 (define @t146 () (not @t145)) % 220.34/220.69 (define @t147 () (@var "BOUND_VARIABLE_10958" $$unsorted)) % 220.34/220.69 (define @t148 () (tptp.app @t122 @t147)) % 220.34/220.69 (define @t149 () (tptp.app @t147 @t122)) % 220.34/220.69 (define @t150 () (= @t2 @t149)) % 220.34/220.69 (define @t151 () (not (tptp.ssList @t147))) % 220.34/220.69 (define @t152 () (not @t128)) % 220.34/220.69 (define @t153 () (@list @t28 @t147)) % 220.34/220.69 (define @t154 () (not @t109)) % 220.34/220.69 (define @t155 () (not @t111)) % 220.34/220.69 (define @t156 () (not @t112)) % 220.34/220.69 (define @t157 () (or (not (tptp.neq @t143 tptp.nil)) (not (forall @t114 (or @t156 @t155 (not (tptp.segmentP @t143 @t108)) @t154))))) % 220.34/220.69 (define @t158 () (not (tptp.ssList @t143))) % 220.34/220.69 (define @t159 () (not @t17)) % 220.34/220.69 (define @t160 () (@list @t2 @t143)) % 220.34/220.69 (define @t161 () (forall @t160 (or @t159 @t158 (and (or (not @t144) @t145) @t157) (not (forall @t153 (or @t152 @t151 @t150 (not (= @t148 @t143))))) (and @t146 @t144)))) % 220.34/220.69 (define @t162 () (@quantifiers_skolemize @t161 1)) % 220.34/220.69 (define @t163 () (= tptp.nil @t162)) % 220.34/220.69 (define @t164 () (not @t163)) % 220.34/220.69 (define @t165 () (@quantifiers_skolemize @t161 0)) % 220.34/220.69 (define @t166 () (= tptp.nil @t165)) % 220.34/220.69 (define @t167 () (not @t166)) % 220.34/220.69 (define @t168 () (not @t167)) % 220.34/220.69 (define @t169 () (= @t165 tptp.nil)) % 220.34/220.69 (define @t170 () (not @t169)) % 220.34/220.69 (define @t171 () (and @t170 @t163)) % 220.34/220.69 (define @t172 () (not (= @t148 @t162))) % 220.34/220.69 (define @t173 () (or @t152 @t151 (= @t165 @t149) @t172)) % 220.34/220.69 (define @t174 () (forall @t153 @t173)) % 220.34/220.69 (define @t175 () (not @t174)) % 220.34/220.69 (define @t176 () (forall @t114 (or @t156 @t155 (not (tptp.segmentP @t162 @t108)) (not (tptp.segmentP @t165 @t108))))) % 220.34/220.69 (define @t177 () (not @t176)) % 220.34/220.69 (define @t178 () (tptp.neq @t162 tptp.nil)) % 220.34/220.69 (define @t179 () (not @t178)) % 220.34/220.69 (define @t180 () (or @t179 @t177)) % 220.34/220.69 (define @t181 () (or @t164 @t169)) % 220.34/220.69 (define @t182 () (and @t181 @t180)) % 220.34/220.69 (define @t183 () (tptp.ssList @t162)) % 220.34/220.69 (define @t184 () (not @t183)) % 220.34/220.69 (define @t185 () (tptp.ssList @t165)) % 220.34/220.69 (define @t186 () (not @t185)) % 220.34/220.69 (define @t187 () (or @t186 @t184 @t182 @t175 @t171)) % 220.34/220.69 (define @t188 () (not @t187)) % 220.34/220.69 (define @t189 () (= @t143 tptp.nil)) % 220.34/220.69 (define @t190 () (and @t146 @t189)) % 220.34/220.69 (define @t191 () (not (= @t143 @t148))) % 220.34/220.69 (define @t192 () (or @t152 @t151 @t150 @t191)) % 220.34/220.69 (define @t193 () (forall @t153 @t192)) % 220.34/220.69 (define @t194 () (not @t193)) % 220.34/220.69 (define @t195 () (not @t189)) % 220.34/220.69 (define @t196 () (or @t195 @t145)) % 220.34/220.69 (define @t197 () (and @t196 @t157)) % 220.34/220.69 (define @t198 () (or @t159 @t158 @t197 @t194 @t190)) % 220.34/220.69 (define @t199 () (or @t158 @t197 @t194 @t190)) % 220.34/220.69 (define @t200 () (or @t159 @t199)) % 220.34/220.69 (define @t201 () (forall @t160 @t200)) % 220.34/220.69 (define @t202 () (@list @t143)) % 220.34/220.69 (define @t203 () (forall @t202 @t200)) % 220.34/220.69 (define @t204 () (forall @t202 @t199)) % 220.34/220.69 (define @t205 () (@list @t1)) % 220.34/220.69 (define @t206 () (or @t159 @t204)) % 220.34/220.69 (define @t207 () (= @t1 tptp.nil)) % 220.34/220.69 (define @t208 () (and @t146 @t207)) % 220.34/220.69 (define @t209 () (not (= @t1 @t148))) % 220.34/220.69 (define @t210 () (not (forall @t153 (or @t152 @t151 @t150 @t209)))) % 220.34/220.69 (define @t211 () (not @t110)) % 220.34/220.69 (define @t212 () (or @t156 @t155 @t211 @t154)) % 220.34/220.69 (define @t213 () (and (or (not @t207) @t145) (or @t116 (not (forall @t114 @t212))))) % 220.34/220.69 (define @t214 () (not @t21)) % 220.34/220.69 (define @t215 () (or @t214 @t213 @t210 @t208)) % 220.34/220.69 (define @t216 () (or @t159 (forall @t7 @t215))) % 220.34/220.69 (define @t217 () (or @t159 @t215)) % 220.34/220.69 (define @t218 () (or @t214 @t213 @t159 @t210 @t208)) % 220.34/220.69 (define @t219 () (or @t213 @t214 @t159 @t210 @t208)) % 220.34/220.69 (define @t220 () (or @t159 @t210 @t208)) % 220.34/220.69 (define @t221 () (not (= @t2 @t2))) % 220.34/220.69 (define @t222 () (or @t159 @t221 @t210 @t208)) % 220.34/220.69 (define @t223 () (not (= @t12 tptp.nil))) % 220.34/220.69 (define @t224 () (and @t223 @t207)) % 220.34/220.69 (define @t225 () (= @t12 @t149)) % 220.34/220.69 (define @t226 () (not (forall @t153 (or @t152 @t151 @t225 @t209)))) % 220.34/220.69 (define @t227 () (not @t15)) % 220.34/220.69 (define @t228 () (or @t131 @t227 @t131 @t226 @t224)) % 220.34/220.69 (define @t229 () (or @t227 @t131 @t226 @t224)) % 220.34/220.69 (define @t230 () (forall @t16 @t229)) % 220.34/220.69 (define @t231 () (or @t213 @t214 @t230)) % 220.34/220.69 (define @t232 () (or @t213 @t214 @t229)) % 220.34/220.69 (define @t233 () (or @t227 @t131 @t213 @t214 @t226 @t224)) % 220.34/220.69 (define @t234 () (or @t131 @t213 @t214 @t226 @t224)) % 220.34/220.69 (define @t235 () (or @t214 @t226 @t224)) % 220.34/220.69 (define @t236 () (not (= @t1 @t1))) % 220.34/220.69 (define @t237 () (or @t214 @t236 @t226 @t224)) % 220.34/220.69 (define @t238 () (and @t223 (= @t10 tptp.nil))) % 220.34/220.69 (define @t239 () (not (= @t10 @t148))) % 220.34/220.69 (define @t240 () (or @t152 @t151 @t225 @t239)) % 220.34/220.69 (define @t241 () (not (forall @t153 @t240))) % 220.34/220.69 (define @t242 () (not @t13)) % 220.34/220.69 (define @t243 () (or @t132 @t242 @t132 @t241 @t238)) % 220.34/220.69 (define @t244 () (or @t242 @t132 @t241 @t238)) % 220.34/220.69 (define @t245 () (forall @t14 @t244)) % 220.34/220.69 (define @t246 () (or @t131 @t213 @t245)) % 220.34/220.69 (define @t247 () (or @t131 @t213 @t244)) % 220.34/220.69 (define @t248 () (or @t242 @t132 @t131 @t241 @t238 @t213)) % 220.34/220.69 (define @t249 () (or @t132 @t131 @t241 @t238 @t213)) % 220.34/220.69 (define @t250 () (forall @t114 (not @t113))) % 220.34/220.69 (define @t251 () (not @t250)) % 220.34/220.69 (define @t252 () (or @t151 @t225 @t239)) % 220.34/220.69 (define @t253 () (or @t152 @t252)) % 220.34/220.69 (define @t254 () (forall @t153 @t253)) % 220.34/220.69 (define @t255 () (@list @t147)) % 220.34/220.69 (define @t256 () (forall @t255 @t253)) % 220.34/220.69 (define @t257 () (forall @t255 @t252)) % 220.34/220.69 (define @t258 () (or @t152 @t257)) % 220.34/220.69 (define @t259 () (= @t10 @t123)) % 220.34/220.69 (define @t260 () (not @t259)) % 220.34/220.69 (define @t261 () (= @t12 @t124)) % 220.34/220.69 (define @t262 () (not @t30)) % 220.34/220.69 (define @t263 () (forall @t31 (or @t262 @t261 @t260))) % 220.34/220.69 (define @t264 () (not @t263)) % 220.34/220.69 (define @t265 () (and @t128 @t264)) % 220.34/220.69 (define @t266 () (forall @t33 (not @t265))) % 220.34/220.69 (define @t267 () (not @t266)) % 220.34/220.69 (define @t268 () (not @t261)) % 220.34/220.69 (define @t269 () (not @t268)) % 220.34/220.69 (define @t270 () (or @t262 @t269 @t260)) % 220.34/220.69 (define @t271 () (and @t30 @t268 @t259)) % 220.34/220.69 (define @t272 () (forall @t31 (not @t271))) % 220.34/220.69 (define @t273 () (not @t272)) % 220.34/220.69 (define @t274 () (or @t164 @t166)) % 220.34/220.69 (define @t275 () (@var "BOUND_VARIABLE_9115" $$unsorted)) % 220.34/220.69 (define @t276 () (= (tptp.neq @t2 @t275) (not (= @t2 @t275)))) % 220.34/220.69 (define @t277 () (not (tptp.ssList @t275))) % 220.34/220.69 (define @t278 () (or @t159 @t277 @t276)) % 220.34/220.69 (define @t279 () (or @t277 @t276)) % 220.34/220.69 (define @t280 () (or @t159 @t279)) % 220.34/220.69 (define @t281 () (@list @t2 @t275)) % 220.34/220.69 (define @t282 () (forall @t281 @t280)) % 220.34/220.69 (define @t283 () (@list @t275)) % 220.34/220.69 (define @t284 () (forall @t283 @t280)) % 220.34/220.69 (define @t285 () (forall @t283 @t279)) % 220.34/220.69 (define @t286 () (or @t159 @t285)) % 220.34/220.69 (define @t287 () (forall @t7 (or @t214 @t5))) % 220.34/220.69 (define @t288 () (tptp.neq tptp.nil tptp.nil)) % 220.34/220.69 (define @t289 () (not (= tptp.nil tptp.nil))) % 220.34/220.69 (define @t290 () (= @t288 @t289)) % 220.34/220.69 (define @t291 () (not @t45)) % 220.34/220.69 (define @t292 () (or @t291 @t291 @t290)) % 220.34/220.69 (define @t293 () (forall @t281 @t278)) % 220.34/220.69 (define @t294 () (not @t288)) % 220.34/220.69 (define @t295 () (or @t291 @t291 @t294)) % 220.34/220.69 (define @t296 () (@list false)) % 220.34/220.69 (define @t297 () (@list @t293)) % 220.34/220.69 (define @t298 () (@list false false)) % 220.34/220.69 (define @t299 () (and @t163 @t294)) % 220.34/220.69 (define @t300 () (= @t2 @t62)) % 220.34/220.69 (define @t301 () (= tptp.nil (tptp.app tptp.nil tptp.nil))) % 220.34/220.69 (define @t302 () (or @t291 @t301)) % 220.34/220.69 (define @t303 () (@list @t162)) % 220.34/220.69 (define @t304 () (= @t162 (tptp.app tptp.nil @t162))) % 220.34/220.69 (define @t305 () (or @t184 @t304)) % 220.34/220.69 (define @t306 () (= @t2 @t90)) % 220.34/220.69 (define @t307 () (or @t159 @t145 @t306)) % 220.34/220.69 (define @t308 () (not @t146)) % 220.34/220.69 (define @t309 () (=> @t146 @t306)) % 220.34/220.69 (define @t310 () (tptp.tl @t162)) % 220.34/220.69 (define @t311 () (tptp.hd @t162)) % 220.34/220.69 (define @t312 () (tptp.cons @t311 @t310)) % 220.34/220.69 (define @t313 () (= @t162 @t312)) % 220.34/220.69 (define @t314 () (= @t162 tptp.nil)) % 220.34/220.69 (define @t315 () (or @t184 @t314 @t313)) % 220.34/220.69 (define @t316 () (forall @t9 @t307)) % 220.34/220.69 (define @t317 () (or @t184 @t163 @t313)) % 220.34/220.69 (define @t318 () (@list false true false)) % 220.34/220.69 (define @t319 () (= @t2 @t99)) % 220.34/220.69 (define @t320 () (@list @t165)) % 220.34/220.69 (define @t321 () (tptp.app @t165 tptp.nil)) % 220.34/220.69 (define @t322 () (= @t165 @t321)) % 220.34/220.69 (define @t323 () (or @t186 @t322)) % 220.34/220.69 (define @t324 () (tptp.app @t162 tptp.nil)) % 220.34/220.69 (define @t325 () (= @t162 @t324)) % 220.34/220.69 (define @t326 () (or @t184 @t325)) % 220.34/220.69 (define @t327 () (@list @t310)) % 220.34/220.69 (define @t328 () (or @t159 @t145 @t56)) % 220.34/220.69 (define @t329 () (=> @t146 @t56)) % 220.34/220.69 (define @t330 () (tptp.ssList @t310)) % 220.34/220.69 (define @t331 () (or @t184 @t314 @t330)) % 220.34/220.69 (define @t332 () (forall @t9 @t328)) % 220.34/220.69 (define @t333 () (or @t184 @t163 @t330)) % 220.34/220.69 (define @t334 () (tptp.app tptp.nil @t310)) % 220.34/220.69 (define @t335 () (= @t310 @t334)) % 220.34/220.69 (define @t336 () (not @t330)) % 220.34/220.69 (define @t337 () (or @t336 @t335)) % 220.34/220.69 (define @t338 () (tptp.cons @t311 tptp.nil)) % 220.34/220.69 (define @t339 () (tptp.app @t338 @t310)) % 220.34/220.69 (define @t340 () (not (= @t339 @t162))) % 220.34/220.69 (define @t341 () (tptp.app @t310 @t338)) % 220.34/220.69 (define @t342 () (tptp.ssItem @t311)) % 220.34/220.69 (define @t343 () (not @t342)) % 220.34/220.69 (define @t344 () (or @t343 @t336 (= @t341 @t165) @t340)) % 220.34/220.69 (define @t345 () (forall @t153 (or @t152 @t151 (= @t149 @t165) @t172))) % 220.34/220.69 (define @t346 () (= @t162 @t339)) % 220.34/220.69 (define @t347 () (not @t346)) % 220.34/220.69 (define @t348 () (= @t165 @t341)) % 220.34/220.69 (define @t349 () (or @t343 @t336 @t348 @t347)) % 220.34/220.69 (define @t350 () (@list @t345)) % 220.34/220.69 (define @t351 () (@var "BOUND_VARIABLE_10539" $$unsorted)) % 220.34/220.69 (define @t352 () (= (tptp.cons @t351 @t2) (tptp.app (tptp.cons @t351 tptp.nil) @t2))) % 220.34/220.69 (define @t353 () (not (tptp.ssItem @t351))) % 220.34/220.69 (define @t354 () (or @t353 @t352)) % 220.34/220.69 (define @t355 () (or @t159 @t354)) % 220.34/220.69 (define @t356 () (forall (@list @t2 @t351) @t355)) % 220.34/220.69 (define @t357 () (@list @t351)) % 220.34/220.69 (define @t358 () (forall @t357 @t355)) % 220.34/220.69 (define @t359 () (forall @t357 @t354)) % 220.34/220.69 (define @t360 () (or @t159 @t359)) % 220.34/220.69 (define @t361 () (not @t6)) % 220.34/220.69 (define @t362 () (forall @t7 (or @t361 @t95))) % 220.34/220.69 (define @t363 () (or @t159 @t145 @t50)) % 220.34/220.69 (define @t364 () (=> @t146 @t50)) % 220.34/220.69 (define @t365 () (or @t184 @t314 @t342)) % 220.34/220.69 (define @t366 () (forall @t9 @t363)) % 220.34/220.69 (define @t367 () (or @t184 @t163 @t342)) % 220.34/220.69 (define @t368 () (= @t312 @t339)) % 220.34/220.69 (define @t369 () (or @t336 @t343 @t368)) % 220.34/220.69 (define @t370 () (@list false false false)) % 220.34/220.69 (define @t371 () (and @t313 @t368)) % 220.34/220.69 (define @t372 () (@list false false false false)) % 220.34/220.69 (define @t373 () (tptp.neq @t310 tptp.nil)) % 220.34/220.69 (define @t374 () (= tptp.nil @t310)) % 220.34/220.69 (define @t375 () (not @t374)) % 220.34/220.69 (define @t376 () (not (= @t310 tptp.nil))) % 220.34/220.69 (define @t377 () (= @t373 @t376)) % 220.34/220.69 (define @t378 () (or @t336 @t291 @t377)) % 220.34/220.69 (define @t379 () (= @t375 @t373)) % 220.34/220.69 (define @t380 () (or @t336 @t291 @t379)) % 220.34/220.69 (define @t381 () (@list true)) % 220.34/220.69 (define @t382 () (@var "BOUND_VARIABLE_10214" $$unsorted)) % 220.34/220.69 (define @t383 () (@var "BOUND_VARIABLE_10218" $$unsorted)) % 220.34/220.69 (define @t384 () (@var "BOUND_VARIABLE_10216" $$unsorted)) % 220.34/220.69 (define @t385 () (tptp.segmentP (tptp.app (tptp.app @t384 @t2) @t383) @t382)) % 220.34/220.69 (define @t386 () (not (tptp.ssList @t383))) % 220.34/220.69 (define @t387 () (not (tptp.ssList @t384))) % 220.34/220.69 (define @t388 () (not (tptp.segmentP @t2 @t382))) % 220.34/220.69 (define @t389 () (not (tptp.ssList @t382))) % 220.34/220.69 (define @t390 () (or @t389 @t388 @t387 @t386 @t385)) % 220.34/220.69 (define @t391 () (or @t159 @t390)) % 220.34/220.69 (define @t392 () (forall (@list @t2 @t382 @t384 @t383) @t391)) % 220.34/220.69 (define @t393 () (@list @t382 @t384 @t383)) % 220.34/220.69 (define @t394 () (forall @t393 @t391)) % 220.34/220.69 (define @t395 () (forall @t393 @t390)) % 220.34/220.69 (define @t396 () (@var "BOUND_VARIABLE_10195" $$unsorted)) % 220.34/220.69 (define @t397 () (@var "BOUND_VARIABLE_10193" $$unsorted)) % 220.34/220.69 (define @t398 () (or @t159 @t395)) % 220.34/220.69 (define @t399 () (tptp.segmentP (tptp.app (tptp.app @t397 @t2) @t396) @t1)) % 220.34/220.69 (define @t400 () (not (tptp.ssList @t396))) % 220.34/220.69 (define @t401 () (not (tptp.ssList @t397))) % 220.34/220.69 (define @t402 () (not @t24)) % 220.34/220.69 (define @t403 () (or @t214 @t402 @t401 @t400 @t399)) % 220.34/220.69 (define @t404 () (@list @t1 @t397 @t396)) % 220.34/220.69 (define @t405 () (forall @t404 @t403)) % 220.34/220.69 (define @t406 () (or @t401 @t400 @t399)) % 220.34/220.69 (define @t407 () (or @t214 @t402 @t406)) % 220.34/220.69 (define @t408 () (forall @t404 @t407)) % 220.34/220.69 (define @t409 () (@list @t397 @t396)) % 220.34/220.69 (define @t410 () (forall @t409 @t407)) % 220.34/220.69 (define @t411 () (forall @t409 @t406)) % 220.34/220.69 (define @t412 () (@var "BOUND_VARIABLE_10176" $$unsorted)) % 220.34/220.69 (define @t413 () (or @t214 @t402 @t411)) % 220.34/220.69 (define @t414 () (tptp.segmentP (tptp.app @t73 @t412) @t1)) % 220.34/220.69 (define @t415 () (not (tptp.ssList @t412))) % 220.34/220.69 (define @t416 () (or @t227 @t415 @t414)) % 220.34/220.69 (define @t417 () (@list @t12 @t412)) % 220.34/220.69 (define @t418 () (forall @t417 @t416)) % 220.34/220.69 (define @t419 () (or @t214 @t402 @t418)) % 220.34/220.69 (define @t420 () (or @t402 @t418)) % 220.34/220.69 (define @t421 () (or @t415 @t414)) % 220.34/220.69 (define @t422 () (or @t227 @t421)) % 220.34/220.69 (define @t423 () (forall @t417 @t422)) % 220.34/220.69 (define @t424 () (@list @t412)) % 220.34/220.69 (define @t425 () (forall @t424 @t422)) % 220.34/220.69 (define @t426 () (forall @t424 @t421)) % 220.34/220.69 (define @t427 () (or @t227 @t426)) % 220.34/220.69 (define @t428 () (or @t242 @t76)) % 220.34/220.69 (define @t429 () (forall @t14 @t428)) % 220.34/220.69 (define @t430 () (or @t227 @t429)) % 220.34/220.69 (define @t431 () (forall @t16 @t430)) % 220.34/220.69 (define @t432 () (or @t402 @t431)) % 220.34/220.69 (define @t433 () (or @t402 @t430)) % 220.34/220.69 (define @t434 () (or @t227 @t402 @t429)) % 220.34/220.69 (define @t435 () (or @t402 @t429)) % 220.34/220.69 (define @t436 () (or @t402 @t428)) % 220.34/220.69 (define @t437 () (or @t242 @t402 @t76)) % 220.34/220.69 (define @t438 () (tptp.segmentP @t310 @t310)) % 220.34/220.69 (define @t439 () (or @t336 @t438)) % 220.34/220.69 (define @t440 () (@var "BOUND_VARIABLE_9136" $$unsorted)) % 220.34/220.69 (define @t441 () (tptp.ssList (tptp.cons @t440 @t2))) % 220.34/220.69 (define @t442 () (not (tptp.ssItem @t440))) % 220.34/220.69 (define @t443 () (or @t442 @t441)) % 220.34/220.69 (define @t444 () (or @t159 @t443)) % 220.34/220.69 (define @t445 () (forall (@list @t2 @t440) @t444)) % 220.34/220.69 (define @t446 () (@list @t440)) % 220.34/220.69 (define @t447 () (forall @t446 @t444)) % 220.34/220.69 (define @t448 () (forall @t446 @t443)) % 220.34/220.69 (define @t449 () (or @t159 @t448)) % 220.34/220.69 (define @t450 () (forall @t7 (or @t361 @t41))) % 220.34/220.69 (define @t451 () (tptp.ssList @t338)) % 220.34/220.69 (define @t452 () (or @t291 @t343 @t451)) % 220.34/220.69 (define @t453 () (tptp.app @t334 @t338)) % 220.34/220.69 (define @t454 () (tptp.segmentP @t453 @t310)) % 220.34/220.69 (define @t455 () (not @t451)) % 220.34/220.69 (define @t456 () (not @t438)) % 220.34/220.69 (define @t457 () (or @t336 @t336 @t456 @t291 @t455 @t454)) % 220.34/220.69 (define @t458 () (@list false false false false false)) % 220.34/220.69 (define @t459 () (tptp.segmentP @t165 @t310)) % 220.34/220.69 (define @t460 () (and @t335 @t348 @t454)) % 220.34/220.69 (define @t461 () (not @t348)) % 220.34/220.69 (define @t462 () (not @t335)) % 220.34/220.69 (define @t463 () (tptp.segmentP (tptp.app @t339 tptp.nil) @t310)) % 220.34/220.69 (define @t464 () (or @t336 @t336 @t456 @t455 @t291 @t463)) % 220.34/220.69 (define @t465 () (tptp.segmentP @t162 @t310)) % 220.34/220.69 (define @t466 () (and @t313 @t325 @t368 @t463)) % 220.34/220.69 (define @t467 () (not @t325)) % 220.34/220.69 (define @t468 () (not @t313)) % 220.34/220.69 (define @t469 () (not @t459)) % 220.34/220.69 (define @t470 () (not @t465)) % 220.34/220.69 (define @t471 () (not @t373)) % 220.34/220.69 (define @t472 () (or @t336 @t471 @t470 @t469)) % 220.34/220.69 (define @t473 () (not @t379)) % 220.34/220.69 (define @t474 () (@list true false)) % 220.34/220.69 (define @t475 () (tptp.neq @t165 tptp.nil)) % 220.34/220.69 (define @t476 () (or @t186 @t291 (= @t475 @t170))) % 220.34/220.69 (define @t477 () (= @t167 @t475)) % 220.34/220.69 (define @t478 () (or @t186 @t291 @t477)) % 220.34/220.69 (define @t479 () (@var "BOUND_VARIABLE_10675" $$unsorted)) % 220.34/220.69 (define @t480 () (= (tptp.tl (tptp.app @t2 @t479)) (tptp.app @t55 @t479))) % 220.34/220.69 (define @t481 () (not (tptp.ssList @t479))) % 220.34/220.69 (define @t482 () (or @t159 @t145 @t481 @t480)) % 220.34/220.69 (define @t483 () (or @t481 @t480)) % 220.34/220.69 (define @t484 () (or @t159 @t145 @t483)) % 220.34/220.69 (define @t485 () (@list @t2 @t479)) % 220.34/220.69 (define @t486 () (forall @t485 @t484)) % 220.34/220.69 (define @t487 () (@list @t479)) % 220.34/220.69 (define @t488 () (forall @t487 @t484)) % 220.34/220.69 (define @t489 () (forall @t487 @t483)) % 220.34/220.69 (define @t490 () (or @t159 @t145 @t489)) % 220.34/220.69 (define @t491 () (or @t214 @t102)) % 220.34/220.69 (define @t492 () (forall @t7 @t491)) % 220.34/220.69 (define @t493 () (or @t159 @t145 @t492)) % 220.34/220.69 (define @t494 () (or @t145 @t492)) % 220.34/220.69 (define @t495 () (or @t145 @t491)) % 220.34/220.69 (define @t496 () (or @t214 @t145 @t102)) % 220.34/220.69 (define @t497 () (=> @t146 @t102)) % 220.34/220.69 (define @t498 () (tptp.tl @t324)) % 220.34/220.69 (define @t499 () (tptp.app @t310 tptp.nil)) % 220.34/220.69 (define @t500 () (or @t184 @t314 @t291 (= @t498 @t499))) % 220.34/220.69 (define @t501 () (forall @t485 @t482)) % 220.34/220.69 (define @t502 () (= @t499 @t498)) % 220.34/220.69 (define @t503 () (or @t184 @t163 @t291 @t502)) % 220.34/220.69 (define @t504 () (= @t162 @t338)) % 220.34/220.69 (define @t505 () (and @t313 @t325 @t374 @t502)) % 220.34/220.69 (define @t506 () (not @t504)) % 220.34/220.69 (define @t507 () (or @t343 @t506)) % 220.34/220.69 (define @t508 () (not @t507)) % 220.34/220.69 (define @t509 () (not (= @t338 @t162))) % 220.34/220.69 (define @t510 () (or @t343 @t509)) % 220.34/220.69 (define @t511 () (forall @t7 (or @t361 (not (= @t18 @t162))))) % 220.34/220.69 (define @t512 () (not @t511)) % 220.34/220.69 (define @t513 () (@quantifiers_skolemize @t511 0)) % 220.34/220.69 (define @t514 () (tptp.cons @t513 tptp.nil)) % 220.34/220.69 (define @t515 () (= @t162 @t514)) % 220.34/220.69 (define @t516 () (not @t515)) % 220.34/220.69 (define @t517 () (tptp.ssItem @t513)) % 220.34/220.69 (define @t518 () (not @t517)) % 220.34/220.69 (define @t519 () (or @t518 @t516)) % 220.34/220.69 (define @t520 () (not @t519)) % 220.34/220.69 (define @t521 () (not (= @t514 @t162))) % 220.34/220.69 (define @t522 () (or @t518 @t521)) % 220.34/220.69 (define @t523 () (not @t522)) % 220.34/220.69 (define @t524 () (tptp.app @t514 tptp.nil)) % 220.34/220.69 (define @t525 () (= @t162 @t524)) % 220.34/220.69 (define @t526 () (and @t325 @t515)) % 220.34/220.69 (define @t527 () (not (= @t524 @t162))) % 220.34/220.69 (define @t528 () (tptp.app tptp.nil @t514)) % 220.34/220.69 (define @t529 () (or @t518 @t291 (= @t528 @t165) @t527)) % 220.34/220.69 (define @t530 () (not @t525)) % 220.34/220.69 (define @t531 () (= @t165 @t528)) % 220.34/220.69 (define @t532 () (or @t518 @t291 @t531 @t530)) % 220.34/220.69 (define @t533 () (tptp.segmentP @t162 @t162)) % 220.34/220.69 (define @t534 () (or @t184 @t533)) % 220.34/220.69 (define @t535 () (not @t531)) % 220.34/220.69 (define @t536 () (tptp.segmentP @t162 @t165)) % 220.34/220.69 (define @t537 () (not @t533)) % 220.34/220.69 (define @t538 () (not @t304)) % 220.34/220.69 (define @t539 () (not @t536)) % 220.34/220.69 (define @t540 () (= false true)) % 220.34/220.69 (define @t541 () (and @t533 @t304 @t515 @t531 @t539)) % 220.34/220.69 (define @t542 () (tptp.segmentP @t165 @t165)) % 220.34/220.69 (define @t543 () (or @t186 @t542)) % 220.34/220.69 (define @t544 () (not @t542)) % 220.34/220.69 (define @t545 () (not @t475)) % 220.34/220.69 (define @t546 () (or @t186 @t545 @t539 @t544)) % 220.34/220.69 (define @t547 () (not @t477)) % 220.34/220.69 (define @t548 () (not @t322)) % 220.34/220.69 (define @t549 () (not @t301)) % 220.34/220.69 (define @t550 () (= @t321 @t324)) % 220.34/220.69 (define @t551 () (and @t301 @t166 @t322 @t550 @t325 @t164)) % 220.34/220.69 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 220.34/220.69 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 220.34/220.69 (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))))))))))) % 220.34/220.69 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 220.34/220.69 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 220.34/220.69 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 220.34/220.69 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 220.34/220.69 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 220.34/220.69 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 220.34/220.69 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 220.34/220.69 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 220.34/220.69 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 220.34/220.69 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 220.34/220.69 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 220.34/220.69 (assume @p15 @t39) % 220.34/220.69 (assume @p16 @t44) % 220.34/220.69 (assume @p17 @t45) % 220.34/220.69 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 220.34/220.69 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t46))))))))))) % 220.34/220.69 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 220.34/220.69 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 220.34/220.69 (assume @p22 @t54) % 220.34/220.69 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 220.34/220.69 (assume @p24 @t59) % 220.34/220.69 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 220.34/220.69 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t60)))))) % 220.34/220.69 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t61) (tptp.app @t47 @t2))))))))) % 220.34/220.69 (assume @p28 @t64) % 220.34/220.69 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t66 @t65) @t3)))))) % 220.34/220.69 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t66 @t26) (tptp.leq @t2 @t12))))))))) % 220.34/220.69 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 220.34/220.69 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 @t65)))))) % 220.34/220.69 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (not @t68))))))) % 220.34/220.69 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t69 @t35) @t70)))))))) % 220.34/220.69 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t71 @t68)))))) % 220.34/220.69 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t72))))))))) % 220.34/220.69 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t72))))))))) % 220.34/220.69 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 220.34/220.69 (assume @p39 (not (tptp.singletonP tptp.nil))) % 220.34/220.69 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 220.34/220.69 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 220.34/220.69 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 220.34/220.69 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 220.34/220.69 (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)))))))))))) % 220.34/220.69 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 220.34/220.69 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 220.34/220.69 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 220.34/220.69 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 220.34/220.69 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 220.34/220.69 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t73 @t1))))))))) % 220.34/220.69 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 220.34/220.69 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 220.34/220.69 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 220.34/220.69 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 220.34/220.69 (assume @p55 @t75) % 220.34/220.69 (assume @p56 @t84) % 220.34/220.69 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 220.34/220.69 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 220.34/220.69 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t85)))) % 220.34/220.69 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 220.34/220.69 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t85)))) % 220.34/220.69 (assume @p62 (tptp.totalorderP tptp.nil)) % 220.34/220.69 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t85)))) % 220.34/220.69 (assume @p64 (tptp.strictorderP tptp.nil)) % 220.34/220.69 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t85)))) % 220.34/220.69 (assume @p66 (tptp.totalorderedP tptp.nil)) % 220.34/220.69 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t89) (or @t87 (and @t88 (tptp.totalorderedP @t1) (tptp.leq @t2 @t86))))))))) % 220.34/220.69 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t85)))) % 220.34/220.69 (assume @p69 (tptp.strictorderedP tptp.nil)) % 220.34/220.69 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t89) (or @t87 (and @t88 (tptp.strictorderedP @t1) (tptp.lt @t2 @t86))))))))) % 220.34/220.69 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t85)))) % 220.34/220.69 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 220.34/220.69 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t85)))) % 220.34/220.69 (assume @p74 (tptp.equalelemsP tptp.nil)) % 220.34/220.69 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 220.34/220.69 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 220.34/220.69 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t88 @t51 (= @t86 @t49) (= (tptp.tl @t1) @t55)) @t46)))))) % 220.34/220.69 (assume @p78 @t93) % 220.34/220.69 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t94)))))))) % 220.34/220.69 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t61) @t94)))))))) % 220.34/220.69 (assume @p81 @t98) % 220.34/220.69 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19))))))))) % 220.34/220.69 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t87 @t48))))))) % 220.34/220.69 (assume @p84 @t101) % 220.34/220.69 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49))))))) % 220.34/220.69 (assume @p86 @t107) % 220.34/220.69 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t67 (tptp.geq @t1 @t2)) @t3)))))) % 220.34/220.69 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 220.34/220.69 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 220.34/220.69 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 220.34/220.69 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t66 @t35) @t70)))))))) % 220.34/220.69 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (or @t3 @t69))))))) % 220.34/220.69 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t69 (and @t4 @t66))))))) % 220.34/220.69 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t71 (not (tptp.gt @t1 @t2)))))))) % 220.34/220.69 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t71 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 220.34/220.69 (assume @p96 @t142) % 220.34/220.69 (assume @p97 true) % 220.34/220.69 (step @p98 :rule refl :args (@t164)) % 220.34/220.69 (step @p99 :rule bool-double-not-elim :args (@t166)) % 220.34/220.69 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t168 @t164))) % 220.34/220.69 (step @p101 :rule refl :args (@t163)) % 220.34/220.69 (step @p102 :rule eq-symm :args (@t165 tptp.nil)) % 220.34/220.69 (step @p103 :rule cong :premises (@p102) :args (@t170)) % 220.34/220.69 (step @p104 :rule nary_cong :premises (@p103 @p101) :args (@t171)) % 220.34/220.69 (step @p105 :rule refl :args (@t172)) % 220.34/220.69 (step @p106 :rule eq-symm :args (@t165 @t149)) % 220.34/220.69 (step @p107 :rule refl :args (@t151)) % 220.34/220.69 (step @p108 :rule refl :args (@t152)) % 220.34/220.69 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105) :args (@t173)) % 220.34/220.69 (step @p110 :rule cong :premises (@p109) :args (@t174)) % 220.34/220.69 (step @p111 :rule cong :premises (@p110) :args (@t175)) % 220.34/220.69 (step @p112 :rule refl :args (@t180)) % 220.34/220.69 (step @p113 :rule nary_cong :premises (@p98 @p102) :args (@t181)) % 220.34/220.69 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t182)) % 220.34/220.69 (step @p115 :rule refl :args (@t184)) % 220.34/220.69 (step @p116 :rule refl :args (@t186)) % 220.34/220.69 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p111 @p104) :args (@t187)) % 220.34/220.69 (step @p118 :rule cong :premises (@p117) :args (@t188)) % 220.34/220.69 ; WARNING: add trust step for TRUST % 220.34/220.69 ; trust TRUST PREPROCESS_QUANTIFIERS_PP % 220.34/220.69 (step @p119 :rule trust :premises () :args ((= (not @t161) @t188))) % 220.34/220.69 (step @p120 :rule eq-symm :args (@t143 tptp.nil)) % 220.34/220.69 (step @p121 :rule refl :args (@t146)) % 220.34/220.69 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t190)) % 220.34/220.69 (step @p123 :rule eq-symm :args (@t143 @t148)) % 220.34/220.69 (step @p124 :rule cong :premises (@p123) :args (@t191)) % 220.34/220.69 (step @p125 :rule refl :args (@t150)) % 220.34/220.69 (step @p126 :rule nary_cong :premises (@p108 @p107 @p125 @p124) :args (@t192)) % 220.34/220.69 (step @p127 :rule cong :premises (@p126) :args (@t193)) % 220.34/220.69 (step @p128 :rule cong :premises (@p127) :args (@t194)) % 220.34/220.69 (step @p129 :rule refl :args (@t157)) % 220.34/220.69 (step @p130 :rule refl :args (@t145)) % 220.34/220.69 (step @p131 :rule cong :premises (@p120) :args (@t195)) % 220.34/220.69 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t196)) % 220.34/220.69 (step @p133 :rule nary_cong :premises (@p132 @p129) :args (@t197)) % 220.34/220.69 (step @p134 :rule refl :args (@t158)) % 220.34/220.69 (step @p135 :rule refl :args (@t159)) % 220.34/220.69 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p128 @p122) :args (@t198)) % 220.34/220.69 (step @p137 :rule aci_norm :args ((= @t200 @t198))) % 220.34/220.69 (step @p138 :rule trans :premises (@p137 @p136)) % 220.34/220.69 (step @p139 :rule cong :premises (@p138) :args (@t201)) % 220.34/220.69 (step @p140 :rule quant-merge-prenex :args ((= (forall @t9 @t203) @t201))) % 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220.34/220.70 (step @p1025 :rule symm :premises (@p1024)) % 220.34/220.70 (step @p1026 :rule trans :premises (@p1025 @p1023 @p1017)) % 220.34/220.70 (step @p1027 false :rule eq_resolve :premises (@p1026 @p1016)) % 220.34/220.70 (step-pop @p1249 :rule scope :premises (@p1027)) % 220.34/220.70 (step-pop @p1250 :rule scope :premises (@p1249)) % 220.34/220.70 (step-pop @p1251 :rule scope :premises (@p1250)) % 220.34/220.70 (step-pop @p1252 :rule scope :premises (@p1251)) % 220.34/220.70 (step-pop @p1253 :rule scope :premises (@p1252)) % 220.34/220.70 (step @p1028 :rule process_scope :premises (@p1253) :args (false)) % 220.34/220.70 (assume-push @p1254 @t304) % 220.34/220.70 (assume-push @p1255 @t533) % 220.34/220.70 (assume-push @p1256 @t539) % 220.34/220.70 (assume-push @p1257 @t515) % 220.34/220.70 (assume-push @p1258 @t531) % 220.34/220.70 (step @p1039 :rule and_intro :premises (@p1004 @p427 @p1257 @p1258 @p1256)) % 220.34/220.70 (step-pop @p1259 :rule scope :premises (@p1039)) % 220.34/220.70 (step-pop @p1260 :rule scope :premises (@p1259)) % 220.34/220.70 (step-pop @p1261 :rule scope :premises (@p1260)) % 220.34/220.70 (step-pop @p1262 :rule scope :premises (@p1261)) % 220.34/220.70 (step-pop @p1263 :rule scope :premises (@p1262)) % 220.34/220.70 (step @p1040 :rule process_scope :premises (@p1263) :args (@t541)) % 220.34/220.70 (step @p1046 :rule implies_elim :premises (@p1040)) % 220.34/220.70 (step @p1047 :rule resolution :premises (@p1046 @p1028) :args (true @t541)) % 220.34/220.70 (step @p1048 :rule not_and :premises (@p1047)) % 220.34/220.70 (step @p1049 :rule eq_resolve :premises (@p1048 @p1010)) % 220.34/220.70 (step @p1050 :rule reordering :premises (@p1049) :args ((or @t537 @t536 @t538 @t516 @t535))) % 220.34/220.70 (step @p1051 :rule chain_m_resolution :premises (@p1050 @p1004 @p427 @p1000 @p998 @p17 @p986 @p477 @p969 @p964) :args ((or @t536 @t519) (@list false false false false false false false false false) (@list @t533 @t304 @t531 @t532 @t45 @t525 @t325 @t515 @t517))) % 220.34/220.70 (step @p1052 :rule chain_m_resolution :premises (@p1051 @p958) :args (@t536 @t381 (@list @t519))) % 220.34/220.70 (step @p1053 :rule instantiate :premises (@p709) :args (@t320)) % 220.34/220.70 (step @p1054 :rule cnf_or_pos :args (@t543)) % 220.34/220.70 (step @p1055 :rule reordering :premises (@p1054) :args ((or @t186 @t542 (not @t543)))) % 220.34/220.70 (step @p1056 :rule chain_m_resolution :premises (@p1055 @p470 @p1053) :args (@t542 @t298 (@list @t185 @t543))) % 220.34/220.70 (step @p1057 :rule cnf_or_pos :args (@t546)) % 220.34/220.70 (step @p1058 :rule reordering :premises (@p1057) :args ((or @t186 @t544 @t545 @t539 (not @t546)))) % 220.34/220.70 (step @p1059 :rule chain_m_resolution :premises (@p1058 @p470 @p1056 @p1052 @p834) :args (@t545 @t372 (@list @t185 @t542 @t536 @t546))) % 220.34/220.70 (step @p1060 :rule refl :args (@t547)) % 220.34/220.70 (step @p1061 :rule nary_cong :premises (@p1060 @p99 @p818) :args ((or @t547 @t168 @t475))) % 220.34/220.70 (step @p1062 :rule cnf_equiv_pos1 :args (@t477)) % 220.34/220.70 (step @p1063 :rule eq_resolve :premises (@p1062 @p1061)) % 220.34/220.70 (step @p1064 :rule reordering :premises (@p1063) :args ((or @t166 @t475 @t547))) % 220.34/220.70 (step @p1065 :rule chain_m_resolution :premises (@p1064 @p1059 @p833) :args (@t166 @t474 (@list @t475 @t477))) % 220.34/220.70 (step @p1066 :rule refl :args (@t461)) % 220.34/220.70 (step @p1067 :rule refl :args (@t462)) % 220.34/220.70 (step @p1068 :rule refl :args (@t375)) % 220.34/220.70 (step @p1069 :rule refl :args (@t467)) % 220.34/220.70 (step @p1070 :rule refl :args (@t548)) % 220.34/220.70 (step @p1071 :rule refl :args (@t468)) % 220.34/220.70 (step @p1072 :rule refl :args (@t549)) % 220.34/220.70 (step @p1073 :rule refl :args (@t167)) % 220.34/220.70 (step @p1074 :rule bool-double-not-elim :args (@t163)) % 220.34/220.70 (step @p1075 :rule nary_cong :premises (@p1074 @p1073 @p1072 @p1009 @p1071 @p1070 @p1069 @p1068 @p1067 @p1066) :args ((or (not @t164) @t167 @t549 @t538 @t468 @t548 @t467 @t375 @t462 @t461))) % 220.34/220.70 (assume-push @p1264 @t301) % 220.34/220.70 (assume-push @p1265 @t166) % 220.34/220.70 (assume-push @p1266 @t322) % 220.34/220.70 (assume-push @p1267 @t550) % 220.34/220.70 (assume-push @p1268 @t325) % 220.34/220.70 (assume-push @p1269 @t164) % 220.34/220.70 (step @p1016 :rule evaluate :args (@t540)) % 220.34/220.70 (step @p1082 :rule symm :premises (@p1265)) % 220.34/220.70 (step @p1083 :rule symm :premises (@p473)) % 220.34/220.70 (step @p1084 :rule symm :premises (@p1267)) % 220.34/220.70 (step @p1085 :rule trans :premises (@p477 @p1084 @p1083 @p1082 @p421)) % 220.34/220.70 (step @p1086 :rule symm :premises (@p1085)) % 220.34/220.70 (step @p1087 :rule trans :premises (@p421 @p1086)) % 220.34/220.70 (step @p1088 :rule true_intro :premises (@p1087)) % 220.34/220.70 (step @p1089 :rule false_intro :premises (@p1269)) % 220.34/220.70 (step @p1090 :rule symm :premises (@p1089)) % 220.34/220.70 (step @p1091 :rule trans :premises (@p1090 @p1088)) % 220.34/220.70 (step @p1092 false :rule eq_resolve :premises (@p1091 @p1016)) % 220.34/220.70 (step-pop @p1270 :rule scope :premises (@p1092)) % 220.34/220.70 (step-pop @p1271 :rule scope :premises (@p1270)) % 220.34/220.70 (step-pop @p1272 :rule scope :premises (@p1271)) % 220.34/220.70 (step-pop @p1273 :rule scope :premises (@p1272)) % 220.34/220.70 (step-pop @p1274 :rule scope :premises (@p1273)) % 220.34/220.70 (step-pop @p1275 :rule scope :premises (@p1274)) % 220.34/220.70 (step @p1093 :rule process_scope :premises (@p1275) :args (false)) % 220.34/220.70 (assume-push @p1276 @t164) % 220.34/220.70 (assume-push @p1277 @t166) % 220.34/220.70 (assume-push @p1278 @t301) % 220.34/220.70 (assume-push @p1279 @t304) % 220.34/220.70 (assume-push @p1280 @t313) % 220.34/220.70 (assume-push @p1281 @t322) % 220.34/220.70 (assume-push @p1282 @t325) % 220.34/220.70 (assume-push @p1283 @t374) % 220.34/220.70 (assume-push @p1284 @t335) % 220.34/220.70 (assume-push @p1285 @t348) % 220.34/220.70 (assume-push @p1286 @t325) % 220.34/220.70 (assume-push @p1287 @t304) % 220.34/220.70 (assume-push @p1288 @t374) % 220.34/220.70 (assume-push @p1289 @t335) % 220.34/220.70 (assume-push @p1290 @t313) % 220.34/220.70 (assume-push @p1291 @t348) % 220.34/220.70 (assume-push @p1292 @t322) % 220.34/220.70 (step @p1018 :rule symm :premises (@p427)) % 220.34/220.70 (step @p1117 :rule symm :premises (@p1280)) % 220.34/220.70 (step @p1118 :rule symm :premises (@p1284)) % 220.34/220.70 (step @p902 :rule refl :args (@t311)) % 220.34/220.70 (step @p1119 :rule cong :premises (@p902 @p1118) :args ((tptp.cons @t311 @t334))) % 220.34/220.70 (step @p1120 :rule trans :premises (@p1283 @p1284)) % 220.34/220.70 (step @p1121 :rule cong :premises (@p902 @p1120) :args (@t338)) % 220.34/220.70 (step @p1122 :rule trans :premises (@p1121 @p1119 @p1117)) % 220.34/220.70 (step @p1123 :rule symm :premises (@p1120)) % 220.34/220.70 (step @p1124 :rule cong :premises (@p1123 @p1122) :args (@t453)) % 220.34/220.70 (step @p750 :rule refl :args (@t338)) % 220.34/220.70 (step @p1125 :rule cong :premises (@p1284 @p750) :args (@t341)) % 220.34/220.70 (step @p1083 :rule symm :premises (@p473)) % 220.34/220.70 (step @p1126 :rule trans :premises (@p1083 @p1285 @p1125 @p1124 @p1018 @p477)) % 220.34/220.70 (step-pop @p1293 :rule scope :premises (@p1126)) % 220.34/220.70 (step-pop @p1294 :rule scope :premises (@p1293)) % 220.34/220.70 (step-pop @p1295 :rule scope :premises (@p1294)) % 220.34/220.70 (step-pop @p1296 :rule scope :premises (@p1295)) % 220.34/220.70 (step-pop @p1297 :rule scope :premises (@p1296)) % 220.34/220.70 (step-pop @p1298 :rule scope :premises (@p1297)) % 220.34/220.70 (step-pop @p1299 :rule scope :premises (@p1298)) % 220.34/220.70 (step @p1127 :rule process_scope :premises (@p1299) :args (@t550)) % 220.34/220.70 (step @p1135 :rule and_intro :premises (@p477 @p427 @p1283 @p1284 @p1280 @p1285 @p473)) % 220.34/220.70 (step @p1136 :rule modus_ponens :premises (@p1135 @p1127)) % 220.34/220.70 (step @p1137 :rule and_intro :premises (@p421 @p1277 @p473 @p1136 @p477 @p1276)) % 220.34/220.70 (step-pop @p1300 :rule scope :premises (@p1137)) % 220.34/220.70 (step-pop @p1301 :rule scope :premises (@p1300)) % 220.34/220.70 (step-pop @p1302 :rule scope :premises (@p1301)) % 220.34/220.70 (step-pop @p1303 :rule scope :premises (@p1302)) % 220.34/220.70 (step-pop @p1304 :rule scope :premises (@p1303)) % 220.34/220.70 (step-pop @p1305 :rule scope :premises (@p1304)) % 220.34/220.70 (step-pop @p1306 :rule scope :premises (@p1305)) % 220.34/220.70 (step-pop @p1307 :rule scope :premises (@p1306)) % 220.34/220.70 (step-pop @p1308 :rule scope :premises (@p1307)) % 220.34/220.70 (step-pop @p1309 :rule scope :premises (@p1308)) % 220.34/220.70 (step @p1138 :rule process_scope :premises (@p1309) :args (@t551)) % 220.34/220.70 (step @p1149 :rule implies_elim :premises (@p1138)) % 220.34/220.70 (step @p1150 :rule resolution :premises (@p1149 @p1093) :args (true @t551)) % 220.34/220.70 (step @p1151 :rule not_and :premises (@p1150)) % 220.34/220.70 (step @p1152 :rule eq_resolve :premises (@p1151 @p1075)) % 220.34/220.70 (step @p1153 false :rule chain_m_resolution :premises (@p1152 @p1065 @p817 @p602 @p511 @p477 @p473 @p460 @p427 @p421 @p410) :args (false (@list false false false false false false false false false true) (@list @t166 @t374 @t348 @t335 @t325 @t322 @t313 @t304 @t301 @t163))) % 220.34/220.70 ) % 220.34/220.70 % SZS output end Proof % 220.34/220.70 % cvc5 exiting %------------------------------------------------------------------------------