%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC356+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 : n011.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 08:58:59 AM UTC 2026 % Result : Theorem 113.20s 113.40s % Output : Proof 113.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC356+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 % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:43:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 113.20/113.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 113.20/113.40 --- Run --no-e-matching --full-saturate-quant at 6... % 113.20/113.40 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 113.20/113.40 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 113.20/113.40 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 113.20/113.40 --- Run --trigger-sel=max --full-saturate-quant at 15... % 113.20/113.40 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 113.20/113.40 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 113.20/113.40 % SZS status Theorem % 113.20/113.40 % SZS output start Proof % 113.20/113.40 ( % 113.20/113.40 (declare-sort $$unsorted 0) % 113.20/113.40 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 113.20/113.40 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 113.20/113.40 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 113.20/113.40 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 113.20/113.40 (declare-const tptp.nil $$unsorted) % 113.20/113.40 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.ssList (-> $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 113.20/113.40 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 113.20/113.40 (define @t1 () (@var "V" $$unsorted)) % 113.20/113.40 (define @t2 () (@var "U" $$unsorted)) % 113.20/113.40 (define @t3 () (= @t2 @t1)) % 113.20/113.40 (define @t4 () (not @t3)) % 113.20/113.40 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 113.20/113.40 (define @t6 () (tptp.ssItem @t1)) % 113.20/113.40 (define @t7 () (@list @t1)) % 113.20/113.40 (define @t8 () (tptp.ssItem @t2)) % 113.20/113.40 (define @t9 () (@list @t2)) % 113.20/113.40 (define @t10 () (@var "X" $$unsorted)) % 113.20/113.40 (define @t11 () (tptp.cons @t1 @t10)) % 113.20/113.40 (define @t12 () (@var "W" $$unsorted)) % 113.20/113.40 (define @t13 () (tptp.app @t12 @t11)) % 113.20/113.40 (define @t14 () (tptp.ssList @t10)) % 113.20/113.40 (define @t15 () (and @t14 (= @t13 @t2))) % 113.20/113.40 (define @t16 () (@list @t10)) % 113.20/113.40 (define @t17 () (exists @t16 @t15)) % 113.20/113.40 (define @t18 () (tptp.ssList @t12)) % 113.20/113.40 (define @t19 () (and @t18 @t17)) % 113.20/113.40 (define @t20 () (@list @t12)) % 113.20/113.40 (define @t21 () (exists @t20 @t19)) % 113.20/113.40 (define @t22 () (tptp.memberP @t2 @t1)) % 113.20/113.40 (define @t23 () (= @t22 @t21)) % 113.20/113.40 (define @t24 () (=> @t6 @t23)) % 113.20/113.40 (define @t25 () (forall @t7 @t24)) % 113.20/113.40 (define @t26 () (tptp.ssList @t2)) % 113.20/113.40 (define @t27 () (=> @t26 @t25)) % 113.20/113.40 (define @t28 () (forall @t9 @t27)) % 113.20/113.40 (define @t29 () (tptp.cons @t1 tptp.nil)) % 113.20/113.40 (define @t30 () (tptp.app @t1 @t12)) % 113.20/113.40 (define @t31 () (tptp.frontsegP @t2 @t1)) % 113.20/113.40 (define @t32 () (tptp.ssList @t1)) % 113.20/113.40 (define @t33 () (tptp.app @t12 @t1)) % 113.20/113.40 (define @t34 () (tptp.rearsegP @t2 @t1)) % 113.20/113.40 (define @t35 () (tptp.segmentP @t2 @t1)) % 113.20/113.40 (define @t36 () (tptp.leq @t12 @t1)) % 113.20/113.40 (define @t37 () (tptp.leq @t1 @t12)) % 113.20/113.40 (define @t38 () (@var "Z" $$unsorted)) % 113.20/113.40 (define @t39 () (@var "Y" $$unsorted)) % 113.20/113.40 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 113.20/113.40 (define @t41 () (tptp.ssList @t38)) % 113.20/113.40 (define @t42 () (@list @t38)) % 113.20/113.40 (define @t43 () (tptp.ssList @t39)) % 113.20/113.40 (define @t44 () (@list @t39)) % 113.20/113.40 (define @t45 () (tptp.ssItem @t12)) % 113.20/113.40 (define @t46 () (tptp.lt @t1 @t12)) % 113.20/113.40 (define @t47 () (= @t1 @t12)) % 113.20/113.40 (define @t48 () (forall @t7 (=> @t32 @t5))) % 113.20/113.40 (define @t49 () (=> @t26 @t48)) % 113.20/113.40 (define @t50 () (forall @t9 @t49)) % 113.20/113.40 (define @t51 () (tptp.cons @t1 @t2)) % 113.20/113.40 (define @t52 () (tptp.ssList @t51)) % 113.20/113.40 (define @t53 () (forall @t7 (=> @t6 @t52))) % 113.20/113.40 (define @t54 () (=> @t26 @t53)) % 113.20/113.40 (define @t55 () (forall @t9 @t54)) % 113.20/113.40 (define @t56 () (tptp.ssList tptp.nil)) % 113.20/113.40 (define @t57 () (= @t1 @t2)) % 113.20/113.40 (define @t58 () (tptp.cons @t12 @t1)) % 113.20/113.40 (define @t59 () (= tptp.nil @t2)) % 113.20/113.40 (define @t60 () (tptp.hd @t2)) % 113.20/113.40 (define @t61 () (not @t59)) % 113.20/113.40 (define @t62 () (tptp.tl @t2)) % 113.20/113.40 (define @t63 () (tptp.app @t2 @t1)) % 113.20/113.40 (define @t64 () (tptp.app @t1 @t2)) % 113.20/113.40 (define @t65 () (tptp.app tptp.nil @t2)) % 113.20/113.40 (define @t66 () (=> @t26 (= @t65 @t2))) % 113.20/113.40 (define @t67 () (forall @t9 @t66)) % 113.20/113.40 (define @t68 () (tptp.leq @t1 @t2)) % 113.20/113.40 (define @t69 () (tptp.leq @t2 @t1)) % 113.20/113.40 (define @t70 () (tptp.geq @t2 @t1)) % 113.20/113.40 (define @t71 () (tptp.lt @t1 @t2)) % 113.20/113.40 (define @t72 () (tptp.lt @t2 @t1)) % 113.20/113.40 (define @t73 () (tptp.lt @t2 @t12)) % 113.20/113.40 (define @t74 () (tptp.gt @t2 @t1)) % 113.20/113.40 (define @t75 () (tptp.memberP @t12 @t2)) % 113.20/113.40 (define @t76 () (tptp.app @t12 @t2)) % 113.20/113.40 (define @t77 () (tptp.segmentP @t1 @t2)) % 113.20/113.40 (define @t78 () (tptp.segmentP @t2 @t2)) % 113.20/113.40 (define @t79 () (forall @t9 (=> @t26 @t78))) % 113.20/113.40 (define @t80 () (tptp.segmentP (tptp.app @t76 @t10) @t1)) % 113.20/113.40 (define @t81 () (=> @t35 @t80)) % 113.20/113.40 (define @t82 () (forall @t16 (=> @t14 @t81))) % 113.20/113.40 (define @t83 () (=> @t18 @t82)) % 113.20/113.40 (define @t84 () (forall @t20 @t83)) % 113.20/113.40 (define @t85 () (=> @t32 @t84)) % 113.20/113.40 (define @t86 () (forall @t7 @t85)) % 113.20/113.40 (define @t87 () (=> @t26 @t86)) % 113.20/113.40 (define @t88 () (forall @t9 @t87)) % 113.20/113.40 (define @t89 () (tptp.cons @t2 tptp.nil)) % 113.20/113.40 (define @t90 () (tptp.hd @t1)) % 113.20/113.40 (define @t91 () (= tptp.nil @t1)) % 113.20/113.40 (define @t92 () (not @t91)) % 113.20/113.40 (define @t93 () (tptp.cons @t2 @t1)) % 113.20/113.40 (define @t94 () (= @t12 @t2)) % 113.20/113.40 (define @t95 () (= @t51 (tptp.app @t29 @t2))) % 113.20/113.40 (define @t96 () (forall @t7 (=> @t6 @t95))) % 113.20/113.40 (define @t97 () (=> @t26 @t96)) % 113.20/113.40 (define @t98 () (forall @t9 @t97)) % 113.20/113.40 (define @t99 () (tptp.app @t2 tptp.nil)) % 113.20/113.40 (define @t100 () (=> @t26 (= @t99 @t2))) % 113.20/113.40 (define @t101 () (forall @t9 @t100)) % 113.20/113.40 (define @t102 () (not (= tptp.nil @t12))) % 113.20/113.40 (define @t103 () (not (= tptp.nil @t10))) % 113.20/113.40 (define @t104 () (or @t103 @t102)) % 113.20/113.40 (define @t105 () (tptp.leq @t38 @t39)) % 113.20/113.40 (define @t106 () (tptp.memberP @t10 @t38)) % 113.20/113.40 (define @t107 () (= @t39 @t38)) % 113.20/113.40 (define @t108 () (not @t107)) % 113.20/113.40 (define @t109 () (tptp.ssItem @t38)) % 113.20/113.40 (define @t110 () (and @t109 @t108 @t106 @t105)) % 113.20/113.40 (define @t111 () (exists @t42 @t110)) % 113.20/113.40 (define @t112 () (not (tptp.memberP @t10 @t39))) % 113.20/113.40 (define @t113 () (tptp.cons @t39 tptp.nil)) % 113.20/113.40 (define @t114 () (not (= @t113 @t12))) % 113.20/113.40 (define @t115 () (or @t114 @t112 @t111)) % 113.20/113.40 (define @t116 () (tptp.ssItem @t39)) % 113.20/113.40 (define @t117 () (=> @t116 @t115)) % 113.20/113.40 (define @t118 () (forall @t44 @t117)) % 113.20/113.40 (define @t119 () (and @t118 @t104)) % 113.20/113.40 (define @t120 () (not (tptp.neq @t1 tptp.nil))) % 113.20/113.40 (define @t121 () (not (= @t2 @t12))) % 113.20/113.40 (define @t122 () (not (= @t1 @t10))) % 113.20/113.40 (define @t123 () (or @t122 @t121 @t120 @t77 @t119)) % 113.20/113.40 (define @t124 () (=> @t14 @t123)) % 113.20/113.40 (define @t125 () (forall @t16 @t124)) % 113.20/113.40 (define @t126 () (=> @t18 @t125)) % 113.20/113.40 (define @t127 () (forall @t20 @t126)) % 113.20/113.40 (define @t128 () (=> @t32 @t127)) % 113.20/113.40 (define @t129 () (forall @t7 @t128)) % 113.20/113.40 (define @t130 () (=> @t26 @t129)) % 113.20/113.40 (define @t131 () (forall @t9 @t130)) % 113.20/113.40 (define @t132 () (not @t131)) % 113.20/113.40 (define @t133 () (@var "BOUND_VARIABLE_10210" $$unsorted)) % 113.20/113.40 (define @t134 () (@var "BOUND_VARIABLE_10214" $$unsorted)) % 113.20/113.40 (define @t135 () (@var "BOUND_VARIABLE_10212" $$unsorted)) % 113.20/113.40 (define @t136 () (tptp.segmentP (tptp.app (tptp.app @t135 @t2) @t134) @t133)) % 113.20/113.40 (define @t137 () (not (tptp.ssList @t134))) % 113.20/113.40 (define @t138 () (not (tptp.ssList @t135))) % 113.20/113.40 (define @t139 () (not (tptp.segmentP @t2 @t133))) % 113.20/113.40 (define @t140 () (not (tptp.ssList @t133))) % 113.20/113.40 (define @t141 () (not @t26)) % 113.20/113.40 (define @t142 () (or @t140 @t139 @t138 @t137 @t136)) % 113.20/113.40 (define @t143 () (or @t141 @t142)) % 113.20/113.40 (define @t144 () (forall (@list @t2 @t133 @t135 @t134) @t143)) % 113.20/113.40 (define @t145 () (@list @t133 @t135 @t134)) % 113.20/113.40 (define @t146 () (forall @t145 @t143)) % 113.20/113.40 (define @t147 () (forall @t145 @t142)) % 113.20/113.40 (define @t148 () (@var "BOUND_VARIABLE_10191" $$unsorted)) % 113.20/113.40 (define @t149 () (@var "BOUND_VARIABLE_10189" $$unsorted)) % 113.20/113.40 (define @t150 () (or @t141 @t147)) % 113.20/113.40 (define @t151 () (tptp.segmentP (tptp.app (tptp.app @t149 @t2) @t148) @t1)) % 113.20/113.40 (define @t152 () (not (tptp.ssList @t148))) % 113.20/113.40 (define @t153 () (not (tptp.ssList @t149))) % 113.20/113.40 (define @t154 () (not @t35)) % 113.20/113.40 (define @t155 () (not @t32)) % 113.20/113.40 (define @t156 () (or @t155 @t154 @t153 @t152 @t151)) % 113.20/113.40 (define @t157 () (@list @t1 @t149 @t148)) % 113.20/113.40 (define @t158 () (forall @t157 @t156)) % 113.20/113.40 (define @t159 () (or @t153 @t152 @t151)) % 113.20/113.40 (define @t160 () (or @t155 @t154 @t159)) % 113.20/113.40 (define @t161 () (forall @t157 @t160)) % 113.20/113.40 (define @t162 () (@list @t149 @t148)) % 113.20/113.40 (define @t163 () (forall @t162 @t160)) % 113.20/113.40 (define @t164 () (forall @t162 @t159)) % 113.20/113.40 (define @t165 () (@var "BOUND_VARIABLE_10172" $$unsorted)) % 113.20/113.40 (define @t166 () (or @t155 @t154 @t164)) % 113.20/113.40 (define @t167 () (tptp.segmentP (tptp.app @t76 @t165) @t1)) % 113.20/113.40 (define @t168 () (not (tptp.ssList @t165))) % 113.20/113.40 (define @t169 () (not @t18)) % 113.20/113.40 (define @t170 () (or @t169 @t168 @t167)) % 113.20/113.40 (define @t171 () (@list @t12 @t165)) % 113.20/113.40 (define @t172 () (forall @t171 @t170)) % 113.20/113.40 (define @t173 () (or @t155 @t154 @t172)) % 113.20/113.40 (define @t174 () (or @t154 @t172)) % 113.20/113.40 (define @t175 () (or @t168 @t167)) % 113.20/113.40 (define @t176 () (or @t169 @t175)) % 113.20/113.40 (define @t177 () (forall @t171 @t176)) % 113.20/113.40 (define @t178 () (@list @t165)) % 113.20/113.40 (define @t179 () (forall @t178 @t176)) % 113.20/113.40 (define @t180 () (forall @t178 @t175)) % 113.20/113.40 (define @t181 () (@list @t10)) % 113.20/113.40 (define @t182 () (or @t169 @t180)) % 113.20/113.40 (define @t183 () (not @t14)) % 113.20/113.40 (define @t184 () (or @t183 @t80)) % 113.20/113.40 (define @t185 () (forall @t16 @t184)) % 113.20/113.40 (define @t186 () (or @t169 @t185)) % 113.20/113.40 (define @t187 () (forall @t20 @t186)) % 113.20/113.40 (define @t188 () (or @t154 @t187)) % 113.20/113.40 (define @t189 () (or @t154 @t186)) % 113.20/113.40 (define @t190 () (or @t169 @t154 @t185)) % 113.20/113.40 (define @t191 () (or @t154 @t185)) % 113.20/113.40 (define @t192 () (or @t154 @t184)) % 113.20/113.40 (define @t193 () (or @t183 @t154 @t80)) % 113.20/113.40 (define @t194 () (@var "BOUND_VARIABLE_8238" $$unsorted)) % 113.20/113.40 (define @t195 () (not (= @t2 tptp.nil))) % 113.20/113.40 (define @t196 () (@var "BOUND_VARIABLE_11132" $$unsorted)) % 113.20/113.40 (define @t197 () (@var "BOUND_VARIABLE_11134" $$unsorted)) % 113.20/113.40 (define @t198 () (not @t109)) % 113.20/113.40 (define @t199 () (or (not (tptp.ssItem @t197)) (not (= @t2 (tptp.cons @t197 tptp.nil))) (not (tptp.memberP @t196 @t197)) (not (forall @t42 (or @t198 (= @t38 @t197) (not (tptp.memberP @t196 @t38)) (not (tptp.leq @t38 @t197))))))) % 113.20/113.40 (define @t200 () (tptp.segmentP @t196 @t2)) % 113.20/113.40 (define @t201 () (not (tptp.neq @t196 tptp.nil))) % 113.20/113.40 (define @t202 () (not (tptp.ssList @t196))) % 113.20/113.40 (define @t203 () (@list @t2 @t196 @t197)) % 113.20/113.40 (define @t204 () (forall @t203 (or @t141 @t202 @t201 @t200 (and @t199 (or (not (= tptp.nil @t196)) @t195))))) % 113.20/113.40 (define @t205 () (@quantifiers_skolemize @t204 2)) % 113.20/113.40 (define @t206 () (@quantifiers_skolemize @t204 1)) % 113.20/113.40 (define @t207 () (not (tptp.ssList @t194))) % 113.20/113.40 (define @t208 () (@list @t12 @t194)) % 113.20/113.40 (define @t209 () (forall @t208 (or @t169 @t207 (not (= @t206 (tptp.app @t12 (tptp.cons @t205 @t194))))))) % 113.20/113.40 (define @t210 () (@quantifiers_skolemize @t209 1)) % 113.20/113.40 (define @t211 () (@quantifiers_skolemize @t204 0)) % 113.20/113.40 (define @t212 () (@var "BOUND_VARIABLE_8263" $$unsorted)) % 113.20/113.40 (define @t213 () (= (tptp.memberP @t2 @t212) (not (forall @t208 (or @t169 @t207 (not (= @t2 (tptp.app @t12 (tptp.cons @t212 @t194))))))))) % 113.20/113.40 (define @t214 () (not (tptp.ssItem @t212))) % 113.20/113.40 (define @t215 () (or @t214 @t213)) % 113.20/113.40 (define @t216 () (or @t141 @t215)) % 113.20/113.40 (define @t217 () (forall (@list @t2 @t212) @t216)) % 113.20/113.40 (define @t218 () (@list @t212)) % 113.20/113.40 (define @t219 () (forall @t218 @t216)) % 113.20/113.40 (define @t220 () (forall @t218 @t215)) % 113.20/113.40 (define @t221 () (@list @t1)) % 113.20/113.40 (define @t222 () (or @t141 @t220)) % 113.20/113.40 (define @t223 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t194))))) % 113.20/113.40 (define @t224 () (or @t169 @t207 @t223)) % 113.20/113.40 (define @t225 () (= @t22 (not (forall @t208 @t224)))) % 113.20/113.40 (define @t226 () (not @t6)) % 113.20/113.40 (define @t227 () (forall @t7 (or @t226 @t225))) % 113.20/113.40 (define @t228 () (or @t207 @t223)) % 113.20/113.40 (define @t229 () (or @t169 @t228)) % 113.20/113.40 (define @t230 () (forall @t208 @t229)) % 113.20/113.40 (define @t231 () (@list @t194)) % 113.20/113.40 (define @t232 () (forall @t231 @t229)) % 113.20/113.40 (define @t233 () (forall @t231 @t228)) % 113.20/113.40 (define @t234 () (or @t169 @t233)) % 113.20/113.40 (define @t235 () (= @t2 @t13)) % 113.20/113.40 (define @t236 () (forall @t16 (or @t183 (not @t235)))) % 113.20/113.40 (define @t237 () (not @t236)) % 113.20/113.40 (define @t238 () (and @t18 @t237)) % 113.20/113.40 (define @t239 () (forall @t20 (not @t238))) % 113.20/113.40 (define @t240 () (not @t239)) % 113.20/113.40 (define @t241 () (and @t14 @t235)) % 113.20/113.40 (define @t242 () (forall @t16 (not @t241))) % 113.20/113.40 (define @t243 () (not @t242)) % 113.20/113.40 (define @t244 () (@var "BOUND_VARIABLE_9111" $$unsorted)) % 113.20/113.40 (define @t245 () (= (tptp.neq @t2 @t244) (not (= @t2 @t244)))) % 113.20/113.40 (define @t246 () (not (tptp.ssList @t244))) % 113.20/113.40 (define @t247 () (or @t141 @t246 @t245)) % 113.20/113.40 (define @t248 () (or @t246 @t245)) % 113.20/113.40 (define @t249 () (or @t141 @t248)) % 113.20/113.40 (define @t250 () (@list @t2 @t244)) % 113.20/113.40 (define @t251 () (forall @t250 @t249)) % 113.20/113.40 (define @t252 () (@list @t244)) % 113.20/113.40 (define @t253 () (forall @t252 @t249)) % 113.20/113.40 (define @t254 () (forall @t252 @t248)) % 113.20/113.40 (define @t255 () (or @t141 @t254)) % 113.20/113.40 (define @t256 () (forall @t7 (or @t155 @t5))) % 113.20/113.40 (define @t257 () (not (= @t206 tptp.nil))) % 113.20/113.40 (define @t258 () (tptp.neq @t206 tptp.nil)) % 113.20/113.40 (define @t259 () (= @t258 @t257)) % 113.20/113.40 (define @t260 () (not @t56)) % 113.20/113.40 (define @t261 () (tptp.ssList @t206)) % 113.20/113.40 (define @t262 () (not @t261)) % 113.20/113.40 (define @t263 () (or @t262 @t260 @t259)) % 113.20/113.40 (define @t264 () (forall @t250 @t247)) % 113.20/113.40 (define @t265 () (= tptp.nil @t206)) % 113.20/113.40 (define @t266 () (not @t265)) % 113.20/113.40 (define @t267 () (= @t258 @t266)) % 113.20/113.40 (define @t268 () (or @t262 @t260 @t267)) % 113.20/113.40 (define @t269 () (not (= @t196 tptp.nil))) % 113.20/113.40 (define @t270 () (or @t269 @t195)) % 113.20/113.40 (define @t271 () (and @t199 @t270)) % 113.20/113.40 (define @t272 () (or @t141 @t202 @t201 @t200 @t271)) % 113.20/113.40 (define @t273 () (or @t202 @t201 @t200 @t271)) % 113.20/113.40 (define @t274 () (or @t141 @t273)) % 113.20/113.40 (define @t275 () (forall @t203 @t274)) % 113.20/113.40 (define @t276 () (@list @t196 @t197)) % 113.20/113.40 (define @t277 () (forall @t276 @t274)) % 113.20/113.40 (define @t278 () (forall @t276 @t273)) % 113.20/113.40 (define @t279 () (@var "BOUND_VARIABLE_11108" $$unsorted)) % 113.20/113.40 (define @t280 () (or @t141 @t278)) % 113.20/113.40 (define @t281 () (not (= @t1 tptp.nil))) % 113.20/113.40 (define @t282 () (or @t281 @t195)) % 113.20/113.40 (define @t283 () (not (tptp.memberP @t1 @t38))) % 113.20/113.40 (define @t284 () (or (not (tptp.ssItem @t279)) (not (= @t2 (tptp.cons @t279 tptp.nil))) (not (tptp.memberP @t1 @t279)) (not (forall @t42 (or @t198 (= @t38 @t279) @t283 (not (tptp.leq @t38 @t279))))))) % 113.20/113.40 (define @t285 () (and @t284 @t282)) % 113.20/113.40 (define @t286 () (or @t155 @t120 @t77 @t285)) % 113.20/113.40 (define @t287 () (forall (@list @t1 @t279) @t286)) % 113.20/113.40 (define @t288 () (or @t141 @t287)) % 113.20/113.40 (define @t289 () (@list @t279)) % 113.20/113.40 (define @t290 () (forall @t289 @t286)) % 113.20/113.40 (define @t291 () (forall @t289 @t282)) % 113.20/113.40 (define @t292 () (forall @t289 @t284)) % 113.20/113.40 (define @t293 () (@var "BOUND_VARIABLE_11077" $$unsorted)) % 113.20/113.40 (define @t294 () (@list @t293)) % 113.20/113.40 (define @t295 () (and @t292 @t291)) % 113.20/113.40 (define @t296 () (forall @t289 @t285)) % 113.20/113.40 (define @t297 () (or @t155 @t120 @t77 @t296)) % 113.20/113.40 (define @t298 () (and (forall (@list @t293) (or (not (tptp.ssItem @t293)) (not (= @t2 (tptp.cons @t293 tptp.nil))) (not (tptp.memberP @t1 @t293)) (not (forall @t42 (or @t198 (= @t38 @t293) @t283 (not (tptp.leq @t38 @t293))))))) @t282)) % 113.20/113.40 (define @t299 () (or @t155 @t120 @t77 @t298)) % 113.20/113.40 (define @t300 () (forall @t7 @t299)) % 113.20/113.40 (define @t301 () (or @t141 @t300)) % 113.20/113.40 (define @t302 () (or @t141 @t299)) % 113.20/113.40 (define @t303 () (or @t155 @t120 @t77 @t141 @t298)) % 113.20/113.40 (define @t304 () (or @t120 @t77 @t155 @t141 @t298)) % 113.20/113.40 (define @t305 () (@var "BOUND_VARIABLE_11042" $$unsorted)) % 113.20/113.40 (define @t306 () (@list @t305)) % 113.20/113.40 (define @t307 () (forall @t306 @t282)) % 113.20/113.40 (define @t308 () (not (forall @t42 (or @t198 (= @t38 @t305) @t283 (not (tptp.leq @t38 @t305)))))) % 113.20/113.40 (define @t309 () (not (tptp.memberP @t1 @t305))) % 113.20/113.40 (define @t310 () (tptp.cons @t305 tptp.nil)) % 113.20/113.40 (define @t311 () (not (tptp.ssItem @t305))) % 113.20/113.40 (define @t312 () (or @t311 (not (= @t2 @t310)) @t309 @t308)) % 113.20/113.40 (define @t313 () (forall @t306 @t312)) % 113.20/113.40 (define @t314 () (@list @t305)) % 113.20/113.40 (define @t315 () (and @t313 @t307)) % 113.20/113.40 (define @t316 () (and @t312 @t282)) % 113.20/113.40 (define @t317 () (forall @t306 @t316)) % 113.20/113.40 (define @t318 () (or @t141 @t317)) % 113.20/113.40 (define @t319 () (or @t141 @t316)) % 113.20/113.40 (define @t320 () (not (= @t2 @t2))) % 113.20/113.40 (define @t321 () (or @t141 @t320 @t316)) % 113.20/113.40 (define @t322 () (not (= @t12 tptp.nil))) % 113.20/113.40 (define @t323 () (or @t281 @t322)) % 113.20/113.40 (define @t324 () (or @t311 (not (= @t12 @t310)) @t309 @t308)) % 113.20/113.40 (define @t325 () (and @t324 @t323)) % 113.20/113.40 (define @t326 () (or @t121 @t169 @t121 @t325)) % 113.20/113.40 (define @t327 () (or @t169 @t121 @t325)) % 113.20/113.40 (define @t328 () (forall @t20 @t327)) % 113.20/113.40 (define @t329 () (forall @t306 @t328)) % 113.20/113.40 (define @t330 () (forall (@list @t305 @t12) @t327)) % 113.20/113.40 (define @t331 () (forall (@list @t12 @t305) @t327)) % 113.20/113.40 (define @t332 () (forall @t306 @t327)) % 113.20/113.40 (define @t333 () (forall @t306 @t323)) % 113.20/113.40 (define @t334 () (forall @t306 @t324)) % 113.20/113.40 (define @t335 () (@var "BOUND_VARIABLE_11011" $$unsorted)) % 113.20/113.40 (define @t336 () (@list @t335)) % 113.20/113.40 (define @t337 () (and @t334 @t333)) % 113.20/113.40 (define @t338 () (forall @t306 @t325)) % 113.20/113.40 (define @t339 () (or @t169 @t121 @t338)) % 113.20/113.40 (define @t340 () (and (forall (@list @t335) (or (not (tptp.ssItem @t335)) (not (= @t12 (tptp.cons @t335 tptp.nil))) (not (tptp.memberP @t1 @t335)) (not (forall @t42 (or @t198 (= @t38 @t335) @t283 (not (tptp.leq @t38 @t335))))))) @t323)) % 113.20/113.40 (define @t341 () (or @t169 @t121 @t340)) % 113.20/113.40 (define @t342 () (forall @t20 @t341)) % 113.20/113.40 (define @t343 () (or @t120 @t77 @t155 @t342)) % 113.20/113.40 (define @t344 () (or @t120 @t77 @t155 @t341)) % 113.20/113.40 (define @t345 () (or @t169 @t121 @t120 @t77 @t155 @t340)) % 113.20/113.40 (define @t346 () (or @t121 @t120 @t77 @t155 @t340)) % 113.20/113.40 (define @t347 () (@var "BOUND_VARIABLE_10965" $$unsorted)) % 113.20/113.40 (define @t348 () (@list @t347)) % 113.20/113.40 (define @t349 () (forall @t348 @t323)) % 113.20/113.40 (define @t350 () (not (tptp.leq @t38 @t347))) % 113.20/113.40 (define @t351 () (= @t38 @t347)) % 113.20/113.40 (define @t352 () (not (= @t12 (tptp.cons @t347 tptp.nil)))) % 113.20/113.40 (define @t353 () (not (tptp.ssItem @t347))) % 113.20/113.40 (define @t354 () (or @t353 @t352 (not (tptp.memberP @t1 @t347)) (not (forall @t42 (or @t198 @t351 @t283 @t350))))) % 113.20/113.40 (define @t355 () (forall @t348 @t354)) % 113.20/113.40 (define @t356 () (@list @t347)) % 113.20/113.40 (define @t357 () (and @t355 @t349)) % 113.20/113.40 (define @t358 () (and @t354 @t323)) % 113.20/113.40 (define @t359 () (forall @t348 @t358)) % 113.20/113.40 (define @t360 () (or @t155 @t359)) % 113.20/113.40 (define @t361 () (or @t155 @t358)) % 113.20/113.40 (define @t362 () (not (= @t1 @t1))) % 113.20/113.40 (define @t363 () (or @t155 @t362 @t358)) % 113.20/113.40 (define @t364 () (or (not (= @t10 tptp.nil)) @t322)) % 113.20/113.40 (define @t365 () (not @t106)) % 113.20/113.40 (define @t366 () (not (tptp.memberP @t10 @t347))) % 113.20/113.40 (define @t367 () (and (or @t353 @t352 @t366 (not (forall @t42 (or @t198 @t351 @t365 @t350)))) @t364)) % 113.20/113.40 (define @t368 () (or @t122 @t183 @t122 @t367)) % 113.20/113.40 (define @t369 () (or @t183 @t122 @t367)) % 113.20/113.40 (define @t370 () (forall @t16 @t369)) % 113.20/113.40 (define @t371 () (forall @t348 @t370)) % 113.20/113.40 (define @t372 () (forall (@list @t347 @t10) @t369)) % 113.20/113.40 (define @t373 () (@list @t10 @t347)) % 113.20/113.40 (define @t374 () (or @t198 (= @t347 @t38) @t365 @t350)) % 113.20/113.40 (define @t375 () (forall @t42 @t374)) % 113.20/113.40 (define @t376 () (not @t375)) % 113.20/113.40 (define @t377 () (or @t353 @t352 @t366 @t376)) % 113.20/113.40 (define @t378 () (and @t377 @t364)) % 113.20/113.40 (define @t379 () (or @t183 @t122 @t378)) % 113.20/113.40 (define @t380 () (forall @t373 @t379)) % 113.20/113.40 (define @t381 () (forall @t348 @t379)) % 113.20/113.40 (define @t382 () (forall @t348 @t364)) % 113.20/113.40 (define @t383 () (forall @t348 @t377)) % 113.20/113.40 (define @t384 () (and @t383 @t382)) % 113.20/113.40 (define @t385 () (forall @t348 @t378)) % 113.20/113.40 (define @t386 () (or @t183 @t122 @t385)) % 113.20/113.40 (define @t387 () (not @t105)) % 113.20/113.40 (define @t388 () (not (forall @t42 (or @t198 @t107 @t365 @t387)))) % 113.20/113.40 (define @t389 () (not (= @t12 @t113))) % 113.20/113.40 (define @t390 () (not @t116)) % 113.20/113.40 (define @t391 () (or @t390 @t389 @t112 @t388)) % 113.20/113.40 (define @t392 () (and (forall @t44 @t391) @t364)) % 113.20/113.40 (define @t393 () (or @t183 @t122 @t392)) % 113.20/113.40 (define @t394 () (forall @t16 @t393)) % 113.20/113.40 (define @t395 () (or @t121 @t120 @t77 @t394)) % 113.20/113.40 (define @t396 () (or @t121 @t120 @t77 @t393)) % 113.20/113.40 (define @t397 () (or @t183 @t122 @t121 @t120 @t77 @t392)) % 113.20/113.40 (define @t398 () (or @t122 @t121 @t120 @t77 @t392)) % 113.20/113.40 (define @t399 () (or @t389 @t112 @t388)) % 113.20/113.40 (define @t400 () (not @t108)) % 113.20/113.40 (define @t401 () (or @t198 @t400 @t365 @t387)) % 113.20/113.40 (define @t402 () (forall @t42 (not @t110))) % 113.20/113.40 (define @t403 () (not @t402)) % 113.20/113.40 (define @t404 () (or @t266 (not (= tptp.nil @t211)))) % 113.20/113.40 (define @t405 () (tptp.memberP @t206 @t205)) % 113.20/113.40 (define @t406 () (not @t405)) % 113.20/113.40 (define @t407 () (tptp.cons @t205 tptp.nil)) % 113.20/113.40 (define @t408 () (= @t211 @t407)) % 113.20/113.40 (define @t409 () (not @t408)) % 113.20/113.40 (define @t410 () (tptp.ssItem @t205)) % 113.20/113.40 (define @t411 () (not @t410)) % 113.20/113.40 (define @t412 () (or @t411 @t409 @t406 (not (forall @t42 (or @t198 (= @t38 @t205) (not (tptp.memberP @t206 @t38)) (not (tptp.leq @t38 @t205))))))) % 113.20/113.40 (define @t413 () (and @t412 @t404)) % 113.20/113.40 (define @t414 () (tptp.segmentP @t206 @t211)) % 113.20/113.40 (define @t415 () (not @t258)) % 113.20/113.40 (define @t416 () (tptp.ssList @t211)) % 113.20/113.40 (define @t417 () (not @t416)) % 113.20/113.40 (define @t418 () (or @t417 @t262 @t415 @t414 @t413)) % 113.20/113.40 (define @t419 () (not @t418)) % 113.20/113.40 (define @t420 () (not @t204)) % 113.20/113.40 (define @t421 () (not (= @t211 tptp.nil))) % 113.20/113.40 (define @t422 () (or @t266 @t421)) % 113.20/113.40 (define @t423 () (and @t412 @t422)) % 113.20/113.40 (define @t424 () (or @t417 @t262 @t415 @t414 @t423)) % 113.20/113.40 (define @t425 () (not @t424)) % 113.20/113.40 (define @t426 () (@list true)) % 113.20/113.40 (define @t427 () (@list @t418)) % 113.20/113.40 (define @t428 () (@list false false false)) % 113.20/113.40 (define @t429 () (@list false false)) % 113.20/113.40 (define @t430 () (@list @t412)) % 113.20/113.40 (define @t431 () (not @t209)) % 113.20/113.40 (define @t432 () (= @t405 @t431)) % 113.20/113.40 (define @t433 () (or @t262 @t411 @t432)) % 113.20/113.40 (define @t434 () (tptp.ssList @t210)) % 113.20/113.40 (define @t435 () (tptp.cons @t205 @t210)) % 113.20/113.40 (define @t436 () (@quantifiers_skolemize @t209 0)) % 113.20/113.40 (define @t437 () (tptp.app @t436 @t435)) % 113.20/113.40 (define @t438 () (= @t206 @t437)) % 113.20/113.40 (define @t439 () (not @t438)) % 113.20/113.40 (define @t440 () (not @t434)) % 113.20/113.40 (define @t441 () (tptp.ssList @t436)) % 113.20/113.40 (define @t442 () (not @t441)) % 113.20/113.40 (define @t443 () (or @t442 @t440 @t439)) % 113.20/113.40 (define @t444 () (@list @t443)) % 113.20/113.40 (define @t445 () (@list @t211)) % 113.20/113.40 (define @t446 () (tptp.segmentP @t211 @t211)) % 113.20/113.40 (define @t447 () (or @t417 @t446)) % 113.20/113.40 (define @t448 () (tptp.app tptp.nil @t211)) % 113.20/113.40 (define @t449 () (tptp.segmentP (tptp.app @t448 @t210) @t211)) % 113.20/113.40 (define @t450 () (not @t446)) % 113.20/113.40 (define @t451 () (or @t417 @t417 @t450 @t260 @t440 @t449)) % 113.20/113.40 (define @t452 () (= @t2 @t65)) % 113.20/113.40 (define @t453 () (= @t211 @t448)) % 113.20/113.40 (define @t454 () (or @t417 @t453)) % 113.20/113.40 (define @t455 () (tptp.app @t407 @t210)) % 113.20/113.40 (define @t456 () (@var "BOUND_VARIABLE_10535" $$unsorted)) % 113.20/113.40 (define @t457 () (= (tptp.cons @t456 @t2) (tptp.app (tptp.cons @t456 tptp.nil) @t2))) % 113.20/113.40 (define @t458 () (not (tptp.ssItem @t456))) % 113.20/113.40 (define @t459 () (or @t458 @t457)) % 113.20/113.40 (define @t460 () (or @t141 @t459)) % 113.20/113.40 (define @t461 () (forall (@list @t2 @t456) @t460)) % 113.20/113.40 (define @t462 () (@list @t456)) % 113.20/113.40 (define @t463 () (forall @t462 @t460)) % 113.20/113.40 (define @t464 () (forall @t462 @t459)) % 113.20/113.40 (define @t465 () (or @t141 @t464)) % 113.20/113.40 (define @t466 () (forall @t7 (or @t226 @t95))) % 113.20/113.40 (define @t467 () (@list @t210 @t205)) % 113.20/113.40 (define @t468 () (= @t435 @t455)) % 113.20/113.40 (define @t469 () (or @t440 @t411 @t468)) % 113.20/113.40 (define @t470 () (tptp.segmentP @t435 @t211)) % 113.20/113.40 (define @t471 () (= @t2 @t99)) % 113.20/113.40 (define @t472 () (= @t206 (tptp.app @t206 tptp.nil))) % 113.20/113.40 (define @t473 () (or @t262 @t472)) % 113.20/113.40 (define @t474 () (tptp.app @t437 tptp.nil)) % 113.20/113.40 (define @t475 () (tptp.segmentP @t474 @t211)) % 113.20/113.40 (define @t476 () (@var "BOUND_VARIABLE_9132" $$unsorted)) % 113.20/113.40 (define @t477 () (tptp.ssList (tptp.cons @t476 @t2))) % 113.20/113.40 (define @t478 () (not (tptp.ssItem @t476))) % 113.20/113.40 (define @t479 () (or @t478 @t477)) % 113.20/113.40 (define @t480 () (or @t141 @t479)) % 113.20/113.40 (define @t481 () (forall (@list @t2 @t476) @t480)) % 113.20/113.40 (define @t482 () (@list @t476)) % 113.20/113.40 (define @t483 () (forall @t482 @t480)) % 113.20/113.40 (define @t484 () (forall @t482 @t479)) % 113.20/113.40 (define @t485 () (or @t141 @t484)) % 113.20/113.40 (define @t486 () (forall @t7 (or @t226 @t52))) % 113.20/113.40 (define @t487 () (tptp.ssList @t435)) % 113.20/113.40 (define @t488 () (or @t440 @t411 @t487)) % 113.20/113.40 (define @t489 () (not @t470)) % 113.20/113.40 (define @t490 () (not @t487)) % 113.20/113.40 (define @t491 () (or @t490 @t417 @t489 @t442 @t260 @t475)) % 113.20/113.40 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 113.20/113.40 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 113.20/113.40 (assume @p3 @t28) % 113.20/113.40 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 113.20/113.40 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 113.20/113.40 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 113.20/113.40 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 113.20/113.40 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not (and @t37 @t36))))))))))))))))) % 113.20/113.40 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t37 @t36)))))))))))))))) % 113.20/113.40 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t46 (tptp.lt @t12 @t1))))))))))))))))) % 113.20/113.40 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t37))))))))))))))) % 113.20/113.40 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t46))))))))))))))) % 113.20/113.40 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not @t47)))))))))))))))) % 113.20/113.40 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t47))))))))))))) % 113.20/113.40 (assume @p15 @t50) % 113.20/113.40 (assume @p16 @t55) % 113.20/113.40 (assume @p17 @t56) % 113.20/113.40 (assume @p18 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= @t51 @t2))))))) % 113.20/113.40 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t57))))))))))) % 113.20/113.40 (assume @p20 (forall @t9 (=> @t26 (or @t59 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t58 @t2))))))))) % 113.20/113.40 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 113.20/113.40 (assume @p22 (forall @t9 (=> @t26 (=> @t61 (tptp.ssItem @t60))))) % 113.20/113.40 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 113.20/113.40 (assume @p24 (forall @t9 (=> @t26 (=> @t61 (tptp.ssList @t62))))) % 113.20/113.40 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 113.20/113.40 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t63)))))) % 113.20/113.40 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t64) (tptp.app @t58 @t2))))))))) % 113.20/113.40 (assume @p28 @t67) % 113.20/113.40 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t69 @t68) @t3)))))) % 113.20/113.40 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t69 @t37) (tptp.leq @t2 @t12))))))))) % 113.20/113.40 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 113.20/113.40 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t68)))))) % 113.20/113.40 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not @t71))))))) % 113.20/113.40 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t72 @t46) @t73)))))))) % 113.20/113.40 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t74 @t71)))))) % 113.20/113.40 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t75))))))))) % 113.20/113.40 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t75))))))))) % 113.20/113.40 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 113.20/113.40 (assume @p39 (not (tptp.singletonP tptp.nil))) % 113.20/113.40 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 113.20/113.40 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 113.20/113.40 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 113.20/113.40 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 113.20/113.40 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 113.20/113.40 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 113.20/113.40 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t59)))) % 113.20/113.40 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 113.20/113.40 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 113.20/113.40 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 113.20/113.40 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t76 @t1))))))))) % 113.20/113.40 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 113.20/113.40 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t59)))) % 113.20/113.40 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 113.20/113.40 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 @t77) @t3)))))) % 113.20/113.40 (assume @p55 @t79) % 113.20/113.40 (assume @p56 @t88) % 113.20/113.40 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 113.20/113.40 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t59)))) % 113.20/113.40 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t89)))) % 113.20/113.40 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 113.20/113.40 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t89)))) % 113.20/113.40 (assume @p62 (tptp.totalorderP tptp.nil)) % 113.20/113.40 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t89)))) % 113.20/113.40 (assume @p64 (tptp.strictorderP tptp.nil)) % 113.20/113.40 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t89)))) % 113.20/113.40 (assume @p66 (tptp.totalorderedP tptp.nil)) % 113.20/113.40 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t93) (or @t91 (and @t92 (tptp.totalorderedP @t1) (tptp.leq @t2 @t90))))))))) % 113.20/113.40 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t89)))) % 113.20/113.40 (assume @p69 (tptp.strictorderedP tptp.nil)) % 113.20/113.40 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t93) (or @t91 (and @t92 (tptp.strictorderedP @t1) (tptp.lt @t2 @t90))))))))) % 113.20/113.40 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t89)))) % 113.20/113.40 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 113.20/113.40 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t89)))) % 113.20/113.40 (assume @p74 (tptp.equalelemsP tptp.nil)) % 113.20/113.40 (assume @p75 (forall @t9 (=> @t26 (=> @t61 (exists @t7 (and @t6 (= @t60 @t1))))))) % 113.20/113.40 (assume @p76 (forall @t9 (=> @t26 (=> @t61 (exists @t7 (and @t32 (= @t62 @t1))))))) % 113.20/113.40 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t92 @t61 (= @t90 @t60) (= (tptp.tl @t1) @t62)) @t57)))))) % 113.20/113.40 (assume @p78 (forall @t9 (=> @t26 (=> @t61 (= (tptp.cons @t60 @t62) @t2))))) % 113.20/113.40 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t63) @t94)))))))) % 113.20/113.40 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t64) @t94)))))))) % 113.20/113.40 (assume @p81 @t98) % 113.20/113.40 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t63 @t12) (tptp.app @t2 @t30))))))))) % 113.20/113.40 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t63) (and @t91 @t59))))))) % 113.20/113.40 (assume @p84 @t101) % 113.20/113.40 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t61 (= (tptp.hd @t63) @t60))))))) % 113.20/113.40 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t61 (= (tptp.tl @t63) (tptp.app @t62 @t1)))))))) % 113.20/113.40 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t70 (tptp.geq @t1 @t2)) @t3)))))) % 113.20/113.40 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t70 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 113.20/113.40 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 113.20/113.40 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 113.20/113.40 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t69 @t46) @t73)))))))) % 113.20/113.40 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (or @t3 @t72))))))) % 113.20/113.40 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 (and @t4 @t69))))))) % 113.20/113.40 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (not (tptp.gt @t1 @t2)))))))) % 113.20/113.40 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 113.20/113.40 (assume @p96 @t132) % 113.20/113.40 (assume @p97 true) % 113.20/113.40 (step @p98 :rule evaluate :args ((= false true))) % 113.20/113.40 (step @p99 :rule aci_norm :args ((= @t143 (or @t141 @t140 @t139 @t138 @t137 @t136)))) % 113.20/113.40 (step @p100 :rule cong :premises (@p99) :args (@t144)) % 113.20/113.40 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t146) @t144))) % 113.20/113.40 (step @p102 :rule alpha_equiv :args (@t147 (@list @t133 @t135 @t134) (@list @t1 @t149 @t148))) % 113.20/113.40 (step @p103 :rule refl :args (@t141)) % 113.20/113.40 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t150)) % 113.20/113.40 (step @p105 :rule quant-miniscope-or :args ((= @t146 @t150))) % 113.20/113.40 (step @p106 :rule trans :premises (@p105 @p104)) % 113.20/113.40 (step @p107 :rule symm :premises (@p106)) % 113.20/113.40 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (or @t141 @t158)))) % 113.20/113.40 (step @p109 :rule trans :premises (@p108 @p101)) % 113.20/113.40 (step @p110 :rule trans :premises (@p109 @p100)) % 113.20/113.40 (step @p111 :rule bool-impl-elim :args (@t26 @t158)) % 113.20/113.40 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t26 @t158)))) % 113.20/113.40 (step @p113 :rule trans :premises (@p112 @p110)) % 113.20/113.40 (step @p114 :rule aci_norm :args ((= @t160 @t156))) % 113.20/113.40 (step @p115 :rule cong :premises (@p114) :args (@t161)) % 113.20/113.40 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t163) @t161))) % 113.20/113.40 (step @p117 :rule alpha_equiv :args (@t164 (@list @t149 @t148) (@list @t12 @t165))) % 113.20/113.40 (step @p118 :rule refl :args (@t154)) % 113.20/113.40 (step @p119 :rule refl :args (@t155)) % 113.20/113.40 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t166)) % 113.20/113.40 (step @p121 :rule quant-miniscope-or :args ((= @t163 @t166))) % 113.20/113.40 (step @p122 :rule trans :premises (@p121 @p120)) % 113.20/113.40 (step @p123 :rule symm :premises (@p122)) % 113.20/113.40 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 @t173))) % 113.20/113.40 (step @p125 :rule trans :premises (@p124 @p116)) % 113.20/113.40 (step @p126 :rule trans :premises (@p125 @p115)) % 113.20/113.40 (step @p127 :rule aci_norm :args ((= (or @t155 @t174) @t173))) % 113.20/113.40 (step @p128 :rule bool-impl-elim :args (@t32 @t174)) % 113.20/113.40 (step @p129 :rule trans :premises (@p128 @p127)) % 113.20/113.40 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 (=> @t32 @t174)))) % 113.20/113.40 (step @p131 :rule trans :premises (@p130 @p126)) % 113.20/113.40 (step @p132 :rule aci_norm :args ((= @t176 @t170))) % 113.20/113.40 (step @p133 :rule cong :premises (@p132) :args (@t177)) % 113.20/113.40 (step @p134 :rule quant-merge-prenex :args ((= (forall @t20 @t179) @t177))) % 113.20/113.40 (step @p135 :rule alpha_equiv :args (@t180 (@list @t165) @t181)) % 113.20/113.40 (step @p136 :rule refl :args (@t169)) % 113.20/113.40 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t182)) % 113.20/113.40 (step @p138 :rule quant-miniscope-or :args ((= @t179 @t182))) % 113.20/113.40 (step @p139 :rule trans :premises (@p138 @p137)) % 113.20/113.40 (step @p140 :rule symm :premises (@p139)) % 113.20/113.40 (step @p141 :rule cong :premises (@p140) :args (@t187)) % 113.20/113.40 (step @p142 :rule trans :premises (@p141 @p134)) % 113.20/113.40 (step @p143 :rule trans :premises (@p142 @p133)) % 113.20/113.40 (step @p144 :rule refl :args (@t154)) % 113.20/113.40 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t188)) % 113.20/113.40 (step @p146 :rule quant-miniscope-or :args ((= (forall @t20 @t189) @t188))) % 113.20/113.40 (step @p147 :rule aci_norm :args ((= @t190 @t189))) % 113.20/113.40 (step @p148 :rule cong :premises (@p147) :args ((forall @t20 @t190))) % 113.20/113.40 (step @p149 :rule trans :premises (@p148 @p146)) % 113.20/113.40 (step @p150 :rule trans :premises (@p149 @p145)) % 113.20/113.40 (step @p151 :rule aci_norm :args ((= (or @t169 @t191) @t190))) % 113.20/113.40 (step @p152 :rule bool-impl-elim :args (@t18 @t191)) % 113.20/113.40 (step @p153 :rule trans :premises (@p152 @p151)) % 113.20/113.40 (step @p154 :rule cong :premises (@p153) :args ((forall @t20 (=> @t18 @t191)))) % 113.20/113.40 (step @p155 :rule trans :premises (@p154 @p150)) % 113.20/113.40 (step @p156 :rule quant-miniscope-or :args ((= (forall @t16 @t192) @t191))) % 113.20/113.40 (step @p157 :rule aci_norm :args ((= @t193 @t192))) % 113.20/113.40 (step @p158 :rule cong :premises (@p157) :args ((forall @t16 @t193))) % 113.20/113.40 (step @p159 :rule trans :premises (@p158 @p156)) % 113.20/113.40 (step @p160 :rule aci_norm :args ((= (or @t183 (or @t154 @t80)) @t193))) % 113.20/113.40 (step @p161 :rule bool-impl-elim :args (@t35 @t80)) % 113.20/113.40 (step @p162 :rule refl :args (@t183)) % 113.20/113.40 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t183 @t81))) % 113.20/113.40 (step @p164 :rule trans :premises (@p163 @p160)) % 113.20/113.40 (step @p165 :rule bool-impl-elim :args (@t14 @t81)) % 113.20/113.40 (step @p166 :rule trans :premises (@p165 @p164)) % 113.20/113.40 (step @p167 :rule cong :premises (@p166) :args (@t82)) % 113.20/113.40 (step @p168 :rule trans :premises (@p167 @p159)) % 113.20/113.40 (step @p169 :rule refl :args (@t18)) % 113.20/113.40 (step @p170 :rule cong :premises (@p169 @p168) :args (@t83)) % 113.20/113.40 (step @p171 :rule cong :premises (@p170) :args (@t84)) % 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113.20/113.41 (assume-push @p740 @t420) % 113.20/113.41 (step @p543 :rule skolemize :premises (@p525)) % 113.20/113.41 (step-pop @p741 :rule scope :premises (@p543)) % 113.20/113.41 (step @p544 :rule process_scope :premises (@p741) :args (@t425)) % 113.20/113.41 (step @p546 :rule eq_resolve :premises (@p544 @p541)) % 113.20/113.41 (step @p547 :rule implies_elim :premises (@p546)) % 113.20/113.41 (step @p548 :rule eq_resolve :premises (@p547 @p528)) % 113.20/113.41 (step @p549 :rule chain_m_resolution :premises (@p548 @p525) :args (@t419 @t426 (@list @t204))) % 113.20/113.41 (step @p550 :rule bool-double-not-elim :args (@t261)) % 113.20/113.41 (step @p551 :rule refl :args (@t418)) % 113.20/113.41 (step @p552 :rule nary_cong :premises (@p551 @p550) :args ((or @t418 (not @t262)))) % 113.20/113.41 (step @p553 :rule cnf_or_neg :args (@t418 1)) % 113.20/113.41 (step @p554 :rule eq_resolve :premises (@p553 @p552)) % 113.20/113.41 (step @p555 :rule reordering :premises (@p554) :args ((or @t261 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113.20/113.41 (step @p579 :rule chain_m_resolution :premises (@p578 @p577 @p575) :args ((not @t412) (@list true false) (@list @t413 @t404))) % 113.20/113.41 (step @p580 :rule bool-double-not-elim :args (@t410)) % 113.20/113.41 (step @p581 :rule nary_cong :premises (@p533 @p580) :args ((or @t412 (not @t411)))) % 113.20/113.41 (step @p582 :rule cnf_or_neg :args (@t412 0)) % 113.20/113.41 (step @p583 :rule eq_resolve :premises (@p582 @p581)) % 113.20/113.41 (step @p584 :rule reordering :premises (@p583) :args ((or @t410 @t412))) % 113.20/113.41 (step @p585 :rule chain_m_resolution :premises (@p584 @p579) :args (@t410 @t426 @t430)) % 113.20/113.41 (step @p586 :rule cnf_or_pos :args (@t433)) % 113.20/113.41 (step @p587 :rule reordering :premises (@p586) :args ((or @t262 @t411 @t432 (not @t433)))) % 113.20/113.41 (step @p588 :rule chain_m_resolution :premises (@p587 @p556 @p585 @p242) :args (@t432 @t428 (@list @t261 @t410 @t433))) % 113.20/113.41 (step @p589 :rule bool-double-not-elim :args 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@t440)))) % 113.20/113.41 (step @p602 :rule cnf_or_neg :args (@t443 1)) % 113.20/113.41 (step @p603 :rule eq_resolve :premises (@p602 @p601)) % 113.20/113.41 (step @p604 :rule reordering :premises (@p603) :args ((or @t434 @t443))) % 113.20/113.41 (step @p605 :rule chain_m_resolution :premises (@p604 @p598) :args (@t434 @t426 @t444)) % 113.20/113.41 (step @p606 :rule bool-impl-elim :args (@t26 @t78)) % 113.20/113.41 (step @p607 :rule cong :premises (@p606) :args (@t79)) % 113.20/113.41 (step @p608 :rule eq_resolve :premises (@p55 @p607)) % 113.20/113.41 (step @p609 :rule instantiate :premises (@p608) :args (@t445)) % 113.20/113.41 (step @p610 :rule bool-double-not-elim :args (@t416)) % 113.20/113.41 (step @p611 :rule nary_cong :premises (@p551 @p610) :args ((or @t418 (not @t417)))) % 113.20/113.41 (step @p612 :rule cnf_or_neg :args (@t418 0)) % 113.20/113.41 (step @p613 :rule eq_resolve :premises (@p612 @p611)) % 113.20/113.41 (step @p614 :rule reordering :premises (@p613) :args ((or @t416 @t418))) % 113.20/113.41 (step @p615 :rule chain_m_resolution :premises (@p614 @p549) :args (@t416 @t426 @t427)) % 113.20/113.41 (step @p616 :rule cnf_or_pos :args (@t447)) % 113.20/113.41 (step @p617 :rule reordering :premises (@p616) :args ((or @t417 @t446 (not @t447)))) % 113.20/113.41 (step @p618 :rule chain_m_resolution :premises (@p617 @p615 @p609) :args (@t446 @t429 (@list @t416 @t447))) % 113.20/113.41 (step @p619 :rule cnf_or_pos :args (@t451)) % 113.20/113.41 (step @p620 :rule factoring :premises (@p619)) % 113.20/113.41 (step @p621 :rule reordering :premises (@p620) :args ((or @t260 @t417 @t450 @t440 @t449 (not @t451)))) % 113.20/113.41 (step @p622 :rule chain_m_resolution :premises (@p621 @p17 @p615 @p618 @p605 @p182) :args (@t449 (@list false false false false false) (@list @t56 @t416 @t446 @t434 @t451))) % 113.20/113.41 (step @p623 :rule true_intro :premises (@p622)) % 113.20/113.41 (step @p624 :rule refl :args (@t211)) % 113.20/113.41 (step @p625 :rule refl :args (@t210)) % 113.20/113.41 (step @p626 :rule bool-impl-elim :args (@t26 @t452)) % 113.20/113.41 (step @p627 :rule cong :premises (@p626) :args ((forall @t9 (=> @t26 @t452)))) % 113.20/113.41 (step @p628 :rule eq-symm :args (@t65 @t2)) % 113.20/113.41 (step @p629 :rule cong :premises (@p177 @p628) :args (@t66)) % 113.20/113.41 (step @p630 :rule cong :premises (@p629) :args (@t67)) % 113.20/113.41 (step @p631 :rule trans :premises (@p630 @p627)) % 113.20/113.41 (step @p632 :rule eq_resolve :premises (@p28 @p631)) % 113.20/113.41 (step @p633 :rule instantiate :premises (@p632) :args (@t445)) % 113.20/113.41 (step @p634 :rule cnf_or_pos :args (@t454)) % 113.20/113.41 (step @p635 :rule reordering :premises (@p634) :args ((or @t417 @t453 (not @t454)))) % 113.20/113.41 (step @p636 :rule chain_m_resolution :premises (@p635 @p615 @p633) :args (@t453 @t429 (@list @t416 @t454))) % 113.20/113.41 (step @p637 :rule cong :premises (@p636 @p625) :args ((tptp.app @t211 @t210))) % 113.20/113.41 (step @p638 :rule bool-double-not-elim :args (@t408)) % 113.20/113.41 (step @p639 :rule nary_cong :premises (@p533 @p638) :args ((or @t412 (not @t409)))) % 113.20/113.41 (step @p640 :rule cnf_or_neg :args (@t412 1)) % 113.20/113.41 (step @p641 :rule eq_resolve :premises (@p640 @p639)) % 113.20/113.41 (step @p642 :rule reordering :premises (@p641) :args ((or @t408 @t412))) % 113.20/113.41 (step @p643 :rule chain_m_resolution :premises (@p642 @p579) :args (@t408 @t426 @t430)) % 113.20/113.41 (step @p644 :rule symm :premises (@p643)) % 113.20/113.41 (step @p645 :rule cong :premises (@p644 @p625) :args (@t455)) % 113.20/113.41 (step @p646 :rule aci_norm :args ((= @t460 (or @t141 @t458 @t457)))) % 113.20/113.41 (step @p647 :rule cong :premises (@p646) :args (@t461)) % 113.20/113.41 (step @p648 :rule quant-merge-prenex :args ((= (forall @t9 @t463) @t461))) % 113.20/113.41 (step @p649 :rule alpha_equiv :args (@t464 (@list @t456) @t221)) % 113.20/113.41 (step @p650 :rule nary_cong :premises (@p103 @p649) :args (@t465)) % 113.20/113.41 (step @p651 :rule quant-miniscope-or :args ((= @t463 @t465))) % 113.20/113.41 (step @p652 :rule trans :premises (@p651 @p650)) % 113.20/113.41 (step @p653 :rule symm :premises (@p652)) % 113.20/113.41 (step @p654 :rule cong :premises (@p653) :args ((forall @t9 (or @t141 @t466)))) % 113.20/113.41 (step @p655 :rule trans :premises (@p654 @p648)) % 113.20/113.41 (step @p656 :rule trans :premises (@p655 @p647)) % 113.20/113.41 (step @p657 :rule bool-impl-elim :args (@t26 @t466)) % 113.20/113.41 (step @p658 :rule cong :premises (@p657) :args ((forall @t9 (=> @t26 @t466)))) % 113.20/113.41 (step @p659 :rule trans :premises (@p658 @p656)) % 113.20/113.41 (step @p660 :rule bool-impl-elim :args (@t6 @t95)) % 113.20/113.41 (step @p661 :rule cong :premises (@p660) :args (@t96)) % 113.20/113.41 (step @p662 :rule cong :premises (@p177 @p661) :args (@t97)) % 113.20/113.41 (step @p663 :rule cong :premises (@p662) :args (@t98)) % 113.20/113.41 (step @p664 :rule trans :premises (@p663 @p659)) % 113.20/113.41 (step @p665 :rule eq_resolve :premises (@p81 @p664)) % 113.20/113.41 (step @p666 :rule instantiate :premises (@p665) :args (@t467)) % 113.20/113.41 (step @p667 :rule cnf_or_pos :args (@t469)) % 113.20/113.41 (step @p668 :rule reordering :premises (@p667) :args ((or @t411 @t440 @t468 (not @t469)))) % 113.20/113.41 (step @p669 :rule chain_m_resolution :premises (@p668 @p585 @p605 @p666) :args (@t468 @t428 (@list @t410 @t434 @t469))) % 113.20/113.41 (step @p670 :rule trans :premises (@p669 @p645 @p637)) % 113.20/113.41 (step @p671 :rule cong :premises (@p670 @p624) :args (@t470)) % 113.20/113.41 (step @p672 :rule instantiate :premises (@p181) :args ((@list @t435 @t211 @t436 tptp.nil))) % 113.20/113.41 (step @p673 :rule cnf_or_neg :args (@t418 3)) % 113.20/113.41 (step @p674 :rule chain_m_resolution :premises (@p673 @p549) :args ((not @t414) @t426 @t427)) % 113.20/113.41 (step @p675 :rule false_intro :premises (@p674)) % 113.20/113.41 (step @p676 :rule bool-impl-elim :args (@t26 @t471)) % 113.20/113.41 (step @p677 :rule cong :premises (@p676) :args ((forall @t9 (=> @t26 @t471)))) % 113.20/113.41 (step @p678 :rule eq-symm :args (@t99 @t2)) % 113.20/113.41 (step @p679 :rule cong :premises (@p177 @p678) :args (@t100)) % 113.20/113.41 (step @p680 :rule cong :premises (@p679) :args (@t101)) % 113.20/113.41 (step @p681 :rule trans :premises (@p680 @p677)) % 113.20/113.41 (step @p682 :rule eq_resolve :premises (@p84 @p681)) % 113.20/113.41 (step @p683 :rule instantiate :premises (@p682) :args ((@list @t206))) % 113.20/113.41 (step @p684 :rule cnf_or_pos :args (@t473)) % 113.20/113.41 (step @p685 :rule reordering :premises (@p684) :args ((or @t262 @t472 (not @t473)))) % 113.20/113.41 (step @p686 :rule chain_m_resolution :premises (@p685 @p556 @p683) :args (@t472 @t429 (@list @t261 @t473))) % 113.20/113.41 (step @p687 :rule symm :premises (@p686)) % 113.20/113.41 (step @p688 :rule refl :args (tptp.nil)) % 113.20/113.41 (step @p689 :rule bool-double-not-elim :args (@t438)) % 113.20/113.41 (step @p690 :rule nary_cong :premises (@p600 @p689) :args ((or @t443 (not @t439)))) % 113.20/113.41 (step @p691 :rule cnf_or_neg :args (@t443 2)) % 113.20/113.41 (step @p692 :rule eq_resolve :premises (@p691 @p690)) % 113.20/113.41 (step @p693 :rule reordering :premises (@p692) :args ((or @t438 @t443))) % 113.20/113.41 (step @p694 :rule chain_m_resolution :premises (@p693 @p598) :args (@t438 @t426 @t444)) % 113.20/113.41 (step @p695 :rule symm :premises (@p694)) % 113.20/113.41 (step @p696 :rule cong :premises (@p695 @p688) :args (@t474)) % 113.20/113.41 (step @p697 :rule trans :premises (@p696 @p687)) % 113.20/113.41 (step @p698 :rule cong :premises (@p697 @p624) :args (@t475)) % 113.20/113.41 (step @p699 :rule trans :premises (@p698 @p675)) % 113.20/113.41 (step @p700 :rule false_elim :premises (@p699)) % 113.20/113.41 (step @p701 :rule aci_norm :args ((= @t480 (or @t141 @t478 @t477)))) % 113.20/113.41 (step @p702 :rule cong :premises (@p701) :args (@t481)) % 113.20/113.41 (step @p703 :rule quant-merge-prenex :args ((= (forall @t9 @t483) @t481))) % 113.20/113.41 (step @p704 :rule alpha_equiv :args (@t484 (@list @t476) @t221)) % 113.20/113.41 (step @p705 :rule nary_cong :premises (@p103 @p704) :args (@t485)) % 113.20/113.41 (step @p706 :rule quant-miniscope-or :args ((= @t483 @t485))) % 113.20/113.41 (step @p707 :rule trans :premises (@p706 @p705)) % 113.20/113.41 (step @p708 :rule symm :premises (@p707)) % 113.20/113.41 (step @p709 :rule cong :premises (@p708) :args ((forall @t9 (or @t141 @t486)))) % 113.20/113.41 (step @p710 :rule trans :premises (@p709 @p703)) % 113.20/113.41 (step @p711 :rule trans :premises (@p710 @p702)) % 113.20/113.41 (step @p712 :rule bool-impl-elim :args (@t26 @t486)) % 113.20/113.41 (step @p713 :rule cong :premises (@p712) :args ((forall @t9 (=> @t26 @t486)))) % 113.20/113.41 (step @p714 :rule trans :premises (@p713 @p711)) % 113.20/113.41 (step @p715 :rule bool-impl-elim :args (@t6 @t52)) % 113.20/113.41 (step @p716 :rule cong :premises (@p715) :args (@t53)) % 113.20/113.41 (step @p717 :rule cong :premises (@p177 @p716) :args (@t54)) % 113.20/113.41 (step @p718 :rule cong :premises (@p717) :args (@t55)) % 113.20/113.41 (step @p719 :rule trans :premises (@p718 @p714)) % 113.20/113.41 (step @p720 :rule eq_resolve :premises (@p16 @p719)) % 113.20/113.41 (step @p721 :rule instantiate :premises (@p720) :args (@t467)) % 113.20/113.41 (step @p722 :rule cnf_or_pos :args (@t488)) % 113.20/113.41 (step @p723 :rule reordering :premises (@p722) :args ((or @t411 @t440 @t487 (not @t488)))) % 113.20/113.41 (step @p724 :rule chain_m_resolution :premises (@p723 @p585 @p605 @p721) :args (@t487 @t428 (@list @t410 @t434 @t488))) % 113.20/113.41 (step @p725 :rule bool-double-not-elim :args (@t441)) % 113.20/113.41 (step @p726 :rule nary_cong :premises (@p600 @p725) :args ((or @t443 (not @t442)))) % 113.20/113.41 (step @p727 :rule cnf_or_neg :args (@t443 0)) % 113.20/113.41 (step @p728 :rule eq_resolve :premises (@p727 @p726)) % 113.20/113.41 (step @p729 :rule reordering :premises (@p728) :args ((or @t441 @t443))) % 113.20/113.41 (step @p730 :rule chain_m_resolution :premises (@p729 @p598) :args (@t441 @t426 @t444)) % 113.20/113.41 (step @p731 :rule cnf_or_pos :args (@t491)) % 113.20/113.41 (step @p732 :rule reordering :premises (@p731) :args ((or @t260 @t417 @t442 @t490 @t489 @t475 (not @t491)))) % 113.20/113.41 (step @p733 :rule chain_m_resolution :premises (@p732 @p17 @p615 @p730 @p724 @p700 @p672) :args (@t489 (@list false false false false true false) (@list @t56 @t416 @t441 @t487 @t475 @t491))) % 113.20/113.41 (step @p734 :rule false_intro :premises (@p733)) % 113.20/113.41 (step @p735 :rule symm :premises (@p734)) % 113.20/113.41 (step @p736 :rule trans :premises (@p735 @p671 @p623)) % 113.20/113.41 (step @p737 false :rule eq_resolve :premises (@p736 @p98)) % 113.20/113.41 ) % 113.20/113.41 % SZS output end Proof % 113.20/113.41 % cvc5 exiting %------------------------------------------------------------------------------