%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC052+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:57:51 AM UTC 2026 % Result : Theorem 34.03s 34.27s % Output : Proof 34.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC052+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:11:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 34.03/34.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.03/34.27 --- Run --no-e-matching --full-saturate-quant at 6... % 34.03/34.27 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.03/34.27 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.03/34.27 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.03/34.27 % SZS status Theorem % 34.03/34.27 % SZS output start Proof % 34.03/34.27 ( % 34.03/34.27 (declare-sort $$unsorted 0) % 34.03/34.27 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.03/34.27 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.03/34.27 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.03/34.27 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.03/34.27 (declare-const tptp.nil $$unsorted) % 34.03/34.27 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.03/34.27 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.03/34.27 (define @t1 () (@var "V" $$unsorted)) % 34.03/34.27 (define @t2 () (@var "U" $$unsorted)) % 34.03/34.27 (define @t3 () (= @t2 @t1)) % 34.03/34.27 (define @t4 () (not @t3)) % 34.03/34.27 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 34.03/34.27 (define @t6 () (tptp.ssItem @t1)) % 34.03/34.27 (define @t7 () (@list @t1)) % 34.03/34.27 (define @t8 () (tptp.ssItem @t2)) % 34.03/34.27 (define @t9 () (@list @t2)) % 34.03/34.27 (define @t10 () (@var "X" $$unsorted)) % 34.03/34.27 (define @t11 () (tptp.cons @t1 @t10)) % 34.03/34.27 (define @t12 () (@var "W" $$unsorted)) % 34.03/34.27 (define @t13 () (tptp.ssList @t10)) % 34.03/34.27 (define @t14 () (@list @t10)) % 34.03/34.27 (define @t15 () (tptp.ssList @t12)) % 34.03/34.27 (define @t16 () (@list @t12)) % 34.03/34.27 (define @t17 () (tptp.ssList @t2)) % 34.03/34.27 (define @t18 () (tptp.cons @t1 tptp.nil)) % 34.03/34.27 (define @t19 () (tptp.app @t1 @t12)) % 34.03/34.27 (define @t20 () (and @t15 (= @t19 @t2))) % 34.03/34.27 (define @t21 () (exists @t16 @t20)) % 34.03/34.27 (define @t22 () (tptp.frontsegP @t2 @t1)) % 34.03/34.27 (define @t23 () (= @t22 @t21)) % 34.03/34.27 (define @t24 () (tptp.ssList @t1)) % 34.03/34.27 (define @t25 () (=> @t24 @t23)) % 34.03/34.27 (define @t26 () (forall @t7 @t25)) % 34.03/34.27 (define @t27 () (=> @t17 @t26)) % 34.03/34.27 (define @t28 () (forall @t9 @t27)) % 34.03/34.27 (define @t29 () (tptp.app @t12 @t1)) % 34.03/34.27 (define @t30 () (tptp.rearsegP @t2 @t1)) % 34.03/34.27 (define @t31 () (tptp.segmentP @t2 @t1)) % 34.03/34.27 (define @t32 () (tptp.leq @t12 @t1)) % 34.03/34.27 (define @t33 () (tptp.leq @t1 @t12)) % 34.03/34.27 (define @t34 () (@var "Z" $$unsorted)) % 34.03/34.27 (define @t35 () (@var "Y" $$unsorted)) % 34.03/34.27 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 34.03/34.27 (define @t37 () (tptp.ssList @t34)) % 34.03/34.27 (define @t38 () (@list @t34)) % 34.03/34.27 (define @t39 () (tptp.ssList @t35)) % 34.03/34.27 (define @t40 () (@list @t35)) % 34.03/34.27 (define @t41 () (tptp.ssItem @t12)) % 34.03/34.27 (define @t42 () (tptp.lt @t1 @t12)) % 34.03/34.27 (define @t43 () (= @t1 @t12)) % 34.03/34.27 (define @t44 () (forall @t7 (=> @t24 @t5))) % 34.03/34.27 (define @t45 () (=> @t17 @t44)) % 34.03/34.27 (define @t46 () (forall @t9 @t45)) % 34.03/34.27 (define @t47 () (tptp.cons @t1 @t2)) % 34.03/34.27 (define @t48 () (tptp.ssList tptp.nil)) % 34.03/34.27 (define @t49 () (= @t1 @t2)) % 34.03/34.27 (define @t50 () (tptp.cons @t12 @t1)) % 34.03/34.27 (define @t51 () (= tptp.nil @t2)) % 34.03/34.27 (define @t52 () (tptp.hd @t2)) % 34.03/34.27 (define @t53 () (not @t51)) % 34.03/34.27 (define @t54 () (tptp.tl @t2)) % 34.03/34.27 (define @t55 () (tptp.app @t2 @t1)) % 34.03/34.27 (define @t56 () (tptp.app @t1 @t2)) % 34.03/34.27 (define @t57 () (tptp.app tptp.nil @t2)) % 34.03/34.27 (define @t58 () (=> @t17 (= @t57 @t2))) % 34.03/34.27 (define @t59 () (forall @t9 @t58)) % 34.03/34.27 (define @t60 () (tptp.leq @t1 @t2)) % 34.03/34.27 (define @t61 () (tptp.leq @t2 @t1)) % 34.03/34.27 (define @t62 () (tptp.geq @t2 @t1)) % 34.03/34.27 (define @t63 () (tptp.lt @t1 @t2)) % 34.03/34.27 (define @t64 () (tptp.lt @t2 @t1)) % 34.03/34.27 (define @t65 () (tptp.lt @t2 @t12)) % 34.03/34.27 (define @t66 () (tptp.gt @t2 @t1)) % 34.03/34.27 (define @t67 () (tptp.memberP @t12 @t2)) % 34.03/34.27 (define @t68 () (tptp.app @t12 @t2)) % 34.03/34.27 (define @t69 () (tptp.segmentP @t2 @t2)) % 34.03/34.27 (define @t70 () (forall @t9 (=> @t17 @t69))) % 34.03/34.27 (define @t71 () (tptp.segmentP (tptp.app @t68 @t10) @t1)) % 34.03/34.27 (define @t72 () (=> @t31 @t71)) % 34.03/34.27 (define @t73 () (forall @t14 (=> @t13 @t72))) % 34.03/34.27 (define @t74 () (=> @t15 @t73)) % 34.03/34.27 (define @t75 () (forall @t16 @t74)) % 34.03/34.27 (define @t76 () (=> @t24 @t75)) % 34.03/34.27 (define @t77 () (forall @t7 @t76)) % 34.03/34.27 (define @t78 () (=> @t17 @t77)) % 34.03/34.27 (define @t79 () (forall @t9 @t78)) % 34.03/34.27 (define @t80 () (tptp.cons @t2 tptp.nil)) % 34.03/34.27 (define @t81 () (tptp.hd @t1)) % 34.03/34.27 (define @t82 () (= tptp.nil @t1)) % 34.03/34.27 (define @t83 () (not @t82)) % 34.03/34.27 (define @t84 () (tptp.cons @t2 @t1)) % 34.03/34.27 (define @t85 () (= @t12 @t2)) % 34.03/34.27 (define @t86 () (tptp.segmentP @t2 @t34)) % 34.03/34.27 (define @t87 () (tptp.segmentP @t1 @t34)) % 34.03/34.27 (define @t88 () (tptp.neq @t34 tptp.nil)) % 34.03/34.27 (define @t89 () (and @t37 @t88 @t87 @t86)) % 34.03/34.27 (define @t90 () (exists @t38 @t89)) % 34.03/34.27 (define @t91 () (tptp.neq @t1 tptp.nil)) % 34.03/34.27 (define @t92 () (not @t91)) % 34.03/34.27 (define @t93 () (or @t92 @t90)) % 34.03/34.27 (define @t94 () (or @t83 @t51)) % 34.03/34.27 (define @t95 () (and @t94 @t93)) % 34.03/34.27 (define @t96 () (tptp.neq @t10 tptp.nil)) % 34.03/34.27 (define @t97 () (and (forall @t40 (or (not @t39) (not (tptp.neq @t35 tptp.nil)) (not (tptp.frontsegP @t10 @t35)) (not (tptp.frontsegP @t12 @t35)))) @t96)) % 34.03/34.27 (define @t98 () (not (= tptp.nil @t12))) % 34.03/34.27 (define @t99 () (and @t98 (= tptp.nil @t10))) % 34.03/34.27 (define @t100 () (not (= @t2 @t12))) % 34.03/34.27 (define @t101 () (not (= @t1 @t10))) % 34.03/34.27 (define @t102 () (not @t13)) % 34.03/34.27 (define @t103 () (or @t102 @t101 @t100 @t99 @t97 @t95)) % 34.03/34.27 (define @t104 () (forall @t14 @t103)) % 34.03/34.27 (define @t105 () (=> @t15 @t104)) % 34.03/34.27 (define @t106 () (forall @t16 @t105)) % 34.03/34.27 (define @t107 () (=> @t24 @t106)) % 34.03/34.27 (define @t108 () (forall @t7 @t107)) % 34.03/34.27 (define @t109 () (=> @t17 @t108)) % 34.03/34.27 (define @t110 () (forall @t9 @t109)) % 34.03/34.27 (define @t111 () (not @t110)) % 34.03/34.27 (define @t112 () (= @t2 @t57)) % 34.03/34.27 (define @t113 () (@var "BOUND_VARIABLE_11083" $$unsorted)) % 34.03/34.27 (define @t114 () (tptp.neq @t113 tptp.nil)) % 34.03/34.27 (define @t115 () (@var "BOUND_VARIABLE_11085" $$unsorted)) % 34.03/34.27 (define @t116 () (and (or (not (tptp.ssList @t115)) (not (tptp.neq @t115 tptp.nil)) (not (tptp.frontsegP @t113 @t115)) (not (tptp.frontsegP @t2 @t115))) @t114)) % 34.03/34.27 (define @t117 () (= tptp.nil @t113)) % 34.03/34.27 (define @t118 () (= @t2 tptp.nil)) % 34.03/34.27 (define @t119 () (not @t118)) % 34.03/34.27 (define @t120 () (not @t86)) % 34.03/34.27 (define @t121 () (not @t88)) % 34.03/34.27 (define @t122 () (not @t37)) % 34.03/34.27 (define @t123 () (or (not @t114) (not (forall @t38 (or @t122 @t121 (not (tptp.segmentP @t113 @t34)) @t120))))) % 34.03/34.27 (define @t124 () (not (tptp.ssList @t113))) % 34.03/34.27 (define @t125 () (not @t17)) % 34.03/34.27 (define @t126 () (@list @t2 @t113 @t115)) % 34.03/34.27 (define @t127 () (forall @t126 (or @t125 @t124 (and (or (not @t117) @t118) @t123) (and @t119 @t117) @t116))) % 34.03/34.27 (define @t128 () (@quantifiers_skolemize @t127 2)) % 34.03/34.27 (define @t129 () (@list @t128)) % 34.03/34.27 (define @t130 () (= @t113 tptp.nil)) % 34.03/34.27 (define @t131 () (and @t119 @t130)) % 34.03/34.27 (define @t132 () (not @t130)) % 34.03/34.27 (define @t133 () (or @t132 @t118)) % 34.03/34.27 (define @t134 () (and @t133 @t123)) % 34.03/34.27 (define @t135 () (or @t125 @t124 @t134 @t131 @t116)) % 34.03/34.27 (define @t136 () (or @t124 @t134 @t131 @t116)) % 34.03/34.27 (define @t137 () (or @t125 @t136)) % 34.03/34.27 (define @t138 () (forall @t126 @t137)) % 34.03/34.27 (define @t139 () (@list @t113 @t115)) % 34.03/34.27 (define @t140 () (forall @t139 @t137)) % 34.03/34.27 (define @t141 () (forall @t139 @t136)) % 34.03/34.27 (define @t142 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 34.03/34.27 (define @t143 () (or @t125 @t141)) % 34.03/34.27 (define @t144 () (or (not (tptp.ssList @t142)) (not (tptp.neq @t142 tptp.nil)) (not (tptp.frontsegP @t1 @t142)) (not (tptp.frontsegP @t2 @t142)))) % 34.03/34.27 (define @t145 () (and @t144 @t91)) % 34.03/34.27 (define @t146 () (= @t1 tptp.nil)) % 34.03/34.27 (define @t147 () (and @t119 @t146)) % 34.03/34.27 (define @t148 () (not @t87)) % 34.03/34.27 (define @t149 () (or @t122 @t121 @t148 @t120)) % 34.03/34.27 (define @t150 () (and (or (not @t146) @t118) (or @t92 (not (forall @t38 @t149))))) % 34.03/34.27 (define @t151 () (not @t24)) % 34.03/34.27 (define @t152 () (or @t151 @t150 @t147 @t145)) % 34.03/34.27 (define @t153 () (forall (@list @t1 @t142) @t152)) % 34.03/34.27 (define @t154 () (or @t125 @t153)) % 34.03/34.27 (define @t155 () (@list @t142)) % 34.03/34.27 (define @t156 () (forall @t155 @t152)) % 34.03/34.27 (define @t157 () (forall @t155 @t91)) % 34.03/34.27 (define @t158 () (forall @t155 @t144)) % 34.03/34.27 (define @t159 () (@var "BOUND_VARIABLE_11038" $$unsorted)) % 34.03/34.27 (define @t160 () (@list @t159)) % 34.03/34.27 (define @t161 () (and @t158 @t157)) % 34.03/34.27 (define @t162 () (forall @t155 @t145)) % 34.03/34.27 (define @t163 () (or @t151 @t150 @t147 @t162)) % 34.03/34.27 (define @t164 () (and (forall (@list @t159) (or (not (tptp.ssList @t159)) (not (tptp.neq @t159 tptp.nil)) (not (tptp.frontsegP @t1 @t159)) (not (tptp.frontsegP @t2 @t159)))) @t91)) % 34.03/34.27 (define @t165 () (or @t151 @t150 @t147 @t164)) % 34.03/34.27 (define @t166 () (forall @t7 @t165)) % 34.03/34.27 (define @t167 () (or @t125 @t166)) % 34.03/34.27 (define @t168 () (or @t125 @t165)) % 34.03/34.27 (define @t169 () (or @t151 @t150 @t125 @t147 @t164)) % 34.03/34.27 (define @t170 () (or @t150 @t151 @t125 @t147 @t164)) % 34.03/34.27 (define @t171 () (@var "BOUND_VARIABLE_11008" $$unsorted)) % 34.03/34.27 (define @t172 () (@list @t171)) % 34.03/34.27 (define @t173 () (forall @t172 @t91)) % 34.03/34.27 (define @t174 () (not (tptp.frontsegP @t1 @t171))) % 34.03/34.27 (define @t175 () (not (tptp.neq @t171 tptp.nil))) % 34.03/34.27 (define @t176 () (not (tptp.ssList @t171))) % 34.03/34.27 (define @t177 () (or @t176 @t175 @t174 (not (tptp.frontsegP @t2 @t171)))) % 34.03/34.27 (define @t178 () (forall @t172 @t177)) % 34.03/34.27 (define @t179 () (@list @t171)) % 34.03/34.27 (define @t180 () (and @t178 @t173)) % 34.03/34.27 (define @t181 () (and @t177 @t91)) % 34.03/34.27 (define @t182 () (forall @t172 @t181)) % 34.03/34.27 (define @t183 () (or @t125 @t147 @t182)) % 34.03/34.27 (define @t184 () (or @t125 @t147 @t181)) % 34.03/34.27 (define @t185 () (not (= @t2 @t2))) % 34.03/34.27 (define @t186 () (or @t125 @t185 @t147 @t181)) % 34.03/34.27 (define @t187 () (or @t176 @t175 @t174 (not (tptp.frontsegP @t12 @t171)))) % 34.03/34.27 (define @t188 () (and @t187 @t91)) % 34.03/34.27 (define @t189 () (not (= @t12 tptp.nil))) % 34.03/34.27 (define @t190 () (and @t189 @t146)) % 34.03/34.27 (define @t191 () (not @t15)) % 34.03/34.27 (define @t192 () (or @t100 @t191 @t100 @t190 @t188)) % 34.03/34.27 (define @t193 () (or @t191 @t100 @t190 @t188)) % 34.03/34.27 (define @t194 () (forall @t16 @t193)) % 34.03/34.27 (define @t195 () (forall @t172 @t194)) % 34.03/34.27 (define @t196 () (forall (@list @t171 @t12) @t193)) % 34.03/34.27 (define @t197 () (forall (@list @t12 @t171) @t193)) % 34.03/34.27 (define @t198 () (forall @t172 @t193)) % 34.03/34.27 (define @t199 () (forall @t172 @t187)) % 34.03/34.27 (define @t200 () (@var "BOUND_VARIABLE_10982" $$unsorted)) % 34.03/34.27 (define @t201 () (@list @t200)) % 34.03/34.27 (define @t202 () (and @t199 @t173)) % 34.03/34.27 (define @t203 () (forall @t172 @t188)) % 34.03/34.27 (define @t204 () (or @t191 @t100 @t190 @t203)) % 34.03/34.27 (define @t205 () (and (forall (@list @t200) (or (not (tptp.ssList @t200)) (not (tptp.neq @t200 tptp.nil)) (not (tptp.frontsegP @t1 @t200)) (not (tptp.frontsegP @t12 @t200)))) @t91)) % 34.03/34.27 (define @t206 () (or @t191 @t100 @t190 @t205)) % 34.03/34.27 (define @t207 () (forall @t16 @t206)) % 34.03/34.27 (define @t208 () (or @t150 @t151 @t207)) % 34.03/34.27 (define @t209 () (or @t150 @t151 @t206)) % 34.03/34.27 (define @t210 () (or @t191 @t100 @t150 @t151 @t190 @t205)) % 34.03/34.27 (define @t211 () (or @t100 @t150 @t151 @t190 @t205)) % 34.03/34.27 (define @t212 () (@var "BOUND_VARIABLE_10954" $$unsorted)) % 34.03/34.27 (define @t213 () (@list @t212)) % 34.03/34.27 (define @t214 () (forall @t213 @t91)) % 34.03/34.27 (define @t215 () (not (tptp.frontsegP @t12 @t212))) % 34.03/34.27 (define @t216 () (not (tptp.neq @t212 tptp.nil))) % 34.03/34.27 (define @t217 () (not (tptp.ssList @t212))) % 34.03/34.27 (define @t218 () (or @t217 @t216 (not (tptp.frontsegP @t1 @t212)) @t215)) % 34.03/34.27 (define @t219 () (forall @t213 @t218)) % 34.03/34.27 (define @t220 () (@list @t212)) % 34.03/34.27 (define @t221 () (and @t219 @t214)) % 34.03/34.27 (define @t222 () (and @t218 @t91)) % 34.03/34.27 (define @t223 () (forall @t213 @t222)) % 34.03/34.27 (define @t224 () (or @t151 @t190 @t223)) % 34.03/34.27 (define @t225 () (or @t151 @t190 @t222)) % 34.03/34.27 (define @t226 () (not (= @t1 @t1))) % 34.03/34.27 (define @t227 () (or @t151 @t226 @t190 @t222)) % 34.03/34.27 (define @t228 () (or @t217 @t216 (not (tptp.frontsegP @t10 @t212)) @t215)) % 34.03/34.27 (define @t229 () (and @t228 @t96)) % 34.03/34.27 (define @t230 () (and @t189 (= @t10 tptp.nil))) % 34.03/34.27 (define @t231 () (or @t101 @t102 @t101 @t230 @t229)) % 34.03/34.27 (define @t232 () (or @t102 @t101 @t230 @t229)) % 34.03/34.27 (define @t233 () (forall @t14 @t232)) % 34.03/34.27 (define @t234 () (forall @t213 @t233)) % 34.03/34.27 (define @t235 () (forall (@list @t212 @t10) @t232)) % 34.03/34.27 (define @t236 () (forall (@list @t10 @t212) @t232)) % 34.03/34.27 (define @t237 () (forall @t213 @t232)) % 34.03/34.27 (define @t238 () (forall @t213 @t96)) % 34.03/34.27 (define @t239 () (forall @t213 @t228)) % 34.03/34.27 (define @t240 () (and @t239 @t238)) % 34.03/34.27 (define @t241 () (forall @t213 @t229)) % 34.03/34.27 (define @t242 () (or @t102 @t101 @t230 @t241)) % 34.03/34.27 (define @t243 () (or @t102 @t101 @t230 @t97)) % 34.03/34.27 (define @t244 () (forall @t14 @t243)) % 34.03/34.27 (define @t245 () (or @t100 @t150 @t244)) % 34.03/34.27 (define @t246 () (or @t100 @t150 @t243)) % 34.03/34.27 (define @t247 () (or @t102 @t101 @t100 @t230 @t97 @t150)) % 34.03/34.27 (define @t248 () (forall @t38 (not @t89))) % 34.03/34.27 (define @t249 () (not @t248)) % 34.03/34.27 (define @t250 () (@quantifiers_skolemize @t127 1)) % 34.03/34.27 (define @t251 () (tptp.neq @t250 tptp.nil)) % 34.03/34.27 (define @t252 () (@quantifiers_skolemize @t127 0)) % 34.03/34.27 (define @t253 () (tptp.frontsegP @t252 @t128)) % 34.03/34.27 (define @t254 () (not @t253)) % 34.03/34.27 (define @t255 () (tptp.frontsegP @t250 @t128)) % 34.03/34.27 (define @t256 () (not @t255)) % 34.03/34.27 (define @t257 () (tptp.neq @t128 tptp.nil)) % 34.03/34.27 (define @t258 () (not @t257)) % 34.03/34.27 (define @t259 () (tptp.ssList @t128)) % 34.03/34.27 (define @t260 () (not @t259)) % 34.03/34.27 (define @t261 () (or @t260 @t258 @t256 @t254)) % 34.03/34.27 (define @t262 () (and @t261 @t251)) % 34.03/34.27 (define @t263 () (= tptp.nil @t250)) % 34.03/34.27 (define @t264 () (= tptp.nil @t252)) % 34.03/34.27 (define @t265 () (not @t264)) % 34.03/34.27 (define @t266 () (and @t265 @t263)) % 34.03/34.27 (define @t267 () (forall @t38 (or @t122 @t121 (not (tptp.segmentP @t250 @t34)) (not (tptp.segmentP @t252 @t34))))) % 34.03/34.27 (define @t268 () (not @t267)) % 34.03/34.27 (define @t269 () (not @t251)) % 34.03/34.27 (define @t270 () (or @t269 @t268)) % 34.03/34.28 (define @t271 () (not @t263)) % 34.03/34.28 (define @t272 () (or @t271 @t264)) % 34.03/34.28 (define @t273 () (and @t272 @t270)) % 34.03/34.28 (define @t274 () (tptp.ssList @t250)) % 34.03/34.28 (define @t275 () (not @t274)) % 34.03/34.28 (define @t276 () (tptp.ssList @t252)) % 34.03/34.28 (define @t277 () (not @t276)) % 34.03/34.28 (define @t278 () (or @t277 @t275 @t273 @t266 @t262)) % 34.03/34.28 (define @t279 () (not @t278)) % 34.03/34.28 (define @t280 () (not @t127)) % 34.03/34.28 (define @t281 () (= @t252 tptp.nil)) % 34.03/34.28 (define @t282 () (not @t281)) % 34.03/34.28 (define @t283 () (and @t282 @t263)) % 34.03/34.28 (define @t284 () (or @t271 @t281)) % 34.03/34.28 (define @t285 () (and @t284 @t270)) % 34.03/34.28 (define @t286 () (or @t277 @t275 @t285 @t283 @t262)) % 34.03/34.28 (define @t287 () (not @t286)) % 34.03/34.28 (define @t288 () (@list true)) % 34.03/34.28 (define @t289 () (@list @t278)) % 34.03/34.28 (define @t290 () (@var "BOUND_VARIABLE_9110" $$unsorted)) % 34.03/34.28 (define @t291 () (= (tptp.neq @t2 @t290) (not (= @t2 @t290)))) % 34.03/34.28 (define @t292 () (not (tptp.ssList @t290))) % 34.03/34.28 (define @t293 () (or @t125 @t292 @t291)) % 34.03/34.28 (define @t294 () (or @t292 @t291)) % 34.03/34.28 (define @t295 () (or @t125 @t294)) % 34.03/34.28 (define @t296 () (@list @t2 @t290)) % 34.03/34.28 (define @t297 () (forall @t296 @t295)) % 34.03/34.28 (define @t298 () (@list @t290)) % 34.03/34.28 (define @t299 () (forall @t298 @t295)) % 34.03/34.28 (define @t300 () (forall @t298 @t294)) % 34.03/34.28 (define @t301 () (@list @t1)) % 34.03/34.28 (define @t302 () (or @t125 @t300)) % 34.03/34.28 (define @t303 () (forall @t7 (or @t151 @t5))) % 34.03/34.28 (define @t304 () (tptp.neq tptp.nil tptp.nil)) % 34.03/34.28 (define @t305 () (not (= tptp.nil tptp.nil))) % 34.03/34.28 (define @t306 () (= @t304 @t305)) % 34.03/34.28 (define @t307 () (not @t48)) % 34.03/34.28 (define @t308 () (or @t307 @t307 @t306)) % 34.03/34.28 (define @t309 () (forall @t296 @t293)) % 34.03/34.28 (define @t310 () (not @t304)) % 34.03/34.28 (define @t311 () (or @t307 @t307 @t310)) % 34.03/34.28 (define @t312 () (@list false)) % 34.03/34.28 (define @t313 () (@list false false)) % 34.03/34.28 (define @t314 () (and @t263 @t310)) % 34.03/34.28 (define @t315 () (@list @t270)) % 34.03/34.28 (define @t316 () (not @t261)) % 34.03/34.28 (define @t317 () (@list @t261)) % 34.03/34.28 (define @t318 () (tptp.app tptp.nil @t128)) % 34.03/34.28 (define @t319 () (= @t128 @t318)) % 34.03/34.28 (define @t320 () (or @t260 @t319)) % 34.03/34.28 (define @t321 () (@var "BOUND_VARIABLE_8319" $$unsorted)) % 34.03/34.28 (define @t322 () (= (tptp.frontsegP @t2 @t321) (not (forall @t16 (or @t191 (not (= @t2 (tptp.app @t321 @t12)))))))) % 34.03/34.28 (define @t323 () (not (tptp.ssList @t321))) % 34.03/34.28 (define @t324 () (or @t323 @t322)) % 34.03/34.28 (define @t325 () (or @t125 @t324)) % 34.03/34.28 (define @t326 () (forall (@list @t2 @t321) @t325)) % 34.03/34.28 (define @t327 () (@list @t321)) % 34.03/34.28 (define @t328 () (forall @t327 @t325)) % 34.03/34.28 (define @t329 () (forall @t327 @t324)) % 34.03/34.28 (define @t330 () (or @t125 @t329)) % 34.03/34.28 (define @t331 () (= @t2 @t19)) % 34.03/34.28 (define @t332 () (= @t22 (not (forall @t16 (or @t191 (not @t331)))))) % 34.03/34.28 (define @t333 () (forall @t7 (or @t151 @t332))) % 34.03/34.28 (define @t334 () (and @t15 @t331)) % 34.03/34.28 (define @t335 () (forall @t16 (not @t334))) % 34.03/34.28 (define @t336 () (not @t335)) % 34.03/34.28 (define @t337 () (tptp.app @t128 @t12)) % 34.03/34.28 (define @t338 () (forall @t16 (or @t191 (not (= @t252 @t337))))) % 34.03/34.28 (define @t339 () (not @t338)) % 34.03/34.28 (define @t340 () (= @t253 @t339)) % 34.03/34.28 (define @t341 () (or @t277 @t260 @t340)) % 34.03/34.28 (define @t342 () (@list false false false)) % 34.03/34.28 (define @t343 () (@quantifiers_skolemize @t338 0)) % 34.03/34.28 (define @t344 () (tptp.app @t128 @t343)) % 34.03/34.28 (define @t345 () (= @t252 @t344)) % 34.03/34.28 (define @t346 () (not @t345)) % 34.03/34.28 (define @t347 () (tptp.ssList @t343)) % 34.03/34.28 (define @t348 () (not @t347)) % 34.03/34.28 (define @t349 () (or @t348 @t346)) % 34.03/34.28 (define @t350 () (not @t349)) % 34.03/34.28 (define @t351 () (@list @t349)) % 34.03/34.28 (define @t352 () (tptp.segmentP @t252 @t128)) % 34.03/34.28 (define @t353 () (not @t352)) % 34.03/34.28 (define @t354 () (tptp.segmentP @t250 @t128)) % 34.03/34.28 (define @t355 () (not @t354)) % 34.03/34.28 (define @t356 () (or @t260 @t258 @t355 @t353)) % 34.03/34.28 (define @t357 () (@var "BOUND_VARIABLE_10209" $$unsorted)) % 34.03/34.28 (define @t358 () (@var "BOUND_VARIABLE_10213" $$unsorted)) % 34.03/34.28 (define @t359 () (@var "BOUND_VARIABLE_10211" $$unsorted)) % 34.03/34.28 (define @t360 () (tptp.segmentP (tptp.app (tptp.app @t359 @t2) @t358) @t357)) % 34.03/34.28 (define @t361 () (not (tptp.ssList @t358))) % 34.03/34.28 (define @t362 () (not (tptp.ssList @t359))) % 34.03/34.28 (define @t363 () (not (tptp.segmentP @t2 @t357))) % 34.03/34.28 (define @t364 () (not (tptp.ssList @t357))) % 34.03/34.28 (define @t365 () (or @t364 @t363 @t362 @t361 @t360)) % 34.03/34.28 (define @t366 () (or @t125 @t365)) % 34.03/34.28 (define @t367 () (forall (@list @t2 @t357 @t359 @t358) @t366)) % 34.03/34.28 (define @t368 () (@list @t357 @t359 @t358)) % 34.03/34.28 (define @t369 () (forall @t368 @t366)) % 34.03/34.28 (define @t370 () (forall @t368 @t365)) % 34.03/34.28 (define @t371 () (@var "BOUND_VARIABLE_10190" $$unsorted)) % 34.03/34.28 (define @t372 () (@var "BOUND_VARIABLE_10188" $$unsorted)) % 34.03/34.28 (define @t373 () (or @t125 @t370)) % 34.03/34.28 (define @t374 () (tptp.segmentP (tptp.app (tptp.app @t372 @t2) @t371) @t1)) % 34.03/34.28 (define @t375 () (not (tptp.ssList @t371))) % 34.03/34.28 (define @t376 () (not (tptp.ssList @t372))) % 34.03/34.28 (define @t377 () (not @t31)) % 34.03/34.28 (define @t378 () (or @t151 @t377 @t376 @t375 @t374)) % 34.03/34.28 (define @t379 () (@list @t1 @t372 @t371)) % 34.03/34.28 (define @t380 () (forall @t379 @t378)) % 34.03/34.28 (define @t381 () (or @t376 @t375 @t374)) % 34.03/34.28 (define @t382 () (or @t151 @t377 @t381)) % 34.03/34.28 (define @t383 () (forall @t379 @t382)) % 34.03/34.28 (define @t384 () (@list @t372 @t371)) % 34.03/34.28 (define @t385 () (forall @t384 @t382)) % 34.03/34.28 (define @t386 () (forall @t384 @t381)) % 34.03/34.28 (define @t387 () (@var "BOUND_VARIABLE_10171" $$unsorted)) % 34.03/34.28 (define @t388 () (or @t151 @t377 @t386)) % 34.03/34.28 (define @t389 () (tptp.segmentP (tptp.app @t68 @t387) @t1)) % 34.03/34.28 (define @t390 () (not (tptp.ssList @t387))) % 34.03/34.28 (define @t391 () (or @t191 @t390 @t389)) % 34.03/34.28 (define @t392 () (@list @t12 @t387)) % 34.03/34.28 (define @t393 () (forall @t392 @t391)) % 34.03/34.28 (define @t394 () (or @t151 @t377 @t393)) % 34.03/34.28 (define @t395 () (or @t377 @t393)) % 34.03/34.28 (define @t396 () (or @t390 @t389)) % 34.03/34.28 (define @t397 () (or @t191 @t396)) % 34.03/34.28 (define @t398 () (forall @t392 @t397)) % 34.03/34.28 (define @t399 () (@list @t387)) % 34.03/34.28 (define @t400 () (forall @t399 @t397)) % 34.03/34.28 (define @t401 () (forall @t399 @t396)) % 34.03/34.28 (define @t402 () (or @t191 @t401)) % 34.03/34.28 (define @t403 () (or @t102 @t71)) % 34.03/34.28 (define @t404 () (forall @t14 @t403)) % 34.03/34.28 (define @t405 () (or @t191 @t404)) % 34.03/34.28 (define @t406 () (forall @t16 @t405)) % 34.03/34.28 (define @t407 () (or @t377 @t406)) % 34.03/34.28 (define @t408 () (or @t377 @t405)) % 34.03/34.28 (define @t409 () (or @t191 @t377 @t404)) % 34.03/34.28 (define @t410 () (or @t377 @t404)) % 34.03/34.28 (define @t411 () (or @t377 @t403)) % 34.03/34.28 (define @t412 () (or @t102 @t377 @t71)) % 34.03/34.28 (define @t413 () (forall @t16 (or @t191 (not (= @t250 @t337))))) % 34.03/34.28 (define @t414 () (@quantifiers_skolemize @t413 0)) % 34.03/34.28 (define @t415 () (not @t413)) % 34.03/34.28 (define @t416 () (= @t255 @t415)) % 34.03/34.28 (define @t417 () (or @t275 @t260 @t416)) % 34.03/34.28 (define @t418 () (tptp.app @t128 @t414)) % 34.03/34.28 (define @t419 () (= @t250 @t418)) % 34.03/34.28 (define @t420 () (not @t419)) % 34.03/34.28 (define @t421 () (tptp.ssList @t414)) % 34.03/34.28 (define @t422 () (not @t421)) % 34.03/34.28 (define @t423 () (or @t422 @t420)) % 34.03/34.28 (define @t424 () (not @t423)) % 34.03/34.28 (define @t425 () (@list @t423)) % 34.03/34.28 (define @t426 () (tptp.segmentP @t128 @t128)) % 34.03/34.28 (define @t427 () (or @t260 @t426)) % 34.03/34.28 (define @t428 () (tptp.segmentP (tptp.app @t318 @t414) @t128)) % 34.03/34.28 (define @t429 () (not @t426)) % 34.03/34.28 (define @t430 () (or @t260 @t260 @t429 @t307 @t422 @t428)) % 34.03/34.28 (define @t431 () (@list false false false false false)) % 34.03/34.28 (define @t432 () (and @t319 @t419 @t428)) % 34.03/34.28 (define @t433 () (not @t319)) % 34.03/34.28 (define @t434 () (tptp.segmentP (tptp.app @t318 @t343) @t128)) % 34.03/34.28 (define @t435 () (or @t260 @t260 @t429 @t307 @t348 @t434)) % 34.03/34.28 (define @t436 () (not @t434)) % 34.03/34.28 (define @t437 () (and @t434 @t319 @t345 @t353)) % 34.03/34.28 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 34.03/34.28 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 34.03/34.28 (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))))))))))) % 34.03/34.28 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 34.03/34.28 (assume @p5 @t28) % 34.03/34.28 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t30 (exists @t16 (and @t15 (= @t29 @t2))))))))) % 34.03/34.28 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t29 @t10) @t2))))))))))) % 34.03/34.28 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not (and @t33 @t32))))))))))))))))) % 34.03/34.28 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t33 @t32)))))))))))))))) % 34.03/34.28 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t42 (tptp.lt @t12 @t1))))))))))))))))) % 34.03/34.28 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t33))))))))))))))) % 34.03/34.28 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t42))))))))))))))) % 34.03/34.28 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not @t43)))))))))))))))) % 34.03/34.28 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t35))) @t2) @t43))))))))))))) % 34.03/34.28 (assume @p15 @t46) % 34.03/34.28 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t47)))))) % 34.03/34.28 (assume @p17 @t48) % 34.03/34.28 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 34.03/34.28 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t49))))))))))) % 34.03/34.28 (assume @p20 (forall @t9 (=> @t17 (or @t51 (exists @t7 (and @t24 (exists @t16 (and @t41 (= @t50 @t2))))))))) % 34.03/34.28 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 34.03/34.28 (assume @p22 (forall @t9 (=> @t17 (=> @t53 (tptp.ssItem @t52))))) % 34.03/34.28 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 34.03/34.28 (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t54))))) % 34.03/34.28 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 34.03/34.28 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (tptp.ssList @t55)))))) % 34.03/34.28 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t56) (tptp.app @t50 @t2))))))))) % 34.03/34.28 (assume @p28 @t59) % 34.03/34.28 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t61 @t60) @t3)))))) % 34.03/34.28 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t33) (tptp.leq @t2 @t12))))))))) % 34.03/34.28 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 34.03/34.28 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t60)))))) % 34.03/34.28 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not @t63))))))) % 34.03/34.28 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t64 @t42) @t65)))))))) % 34.03/34.28 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t63)))))) % 34.03/34.28 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t67))))))))) % 34.03/34.28 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t67))))))))) % 34.03/34.28 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 34.03/34.28 (assume @p39 (not (tptp.singletonP tptp.nil))) % 34.03/34.28 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t22 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 34.03/34.28 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t22 (tptp.frontsegP @t1 @t2)) @t3)))))) % 34.03/34.28 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 34.03/34.28 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t22 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 34.03/34.28 (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)))))))))))) % 34.03/34.28 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 34.03/34.28 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t51)))) % 34.03/34.28 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t30 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 34.03/34.28 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t30 (tptp.rearsegP @t1 @t2)) @t3)))))) % 34.03/34.28 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 34.03/34.28 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t30 (tptp.rearsegP @t68 @t1))))))))) % 34.03/34.28 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 34.03/34.28 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t51)))) % 34.03/34.28 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 34.03/34.28 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 34.03/34.28 (assume @p55 @t70) % 34.03/34.28 (assume @p56 @t79) % 34.03/34.28 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 34.03/34.28 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t51)))) % 34.03/34.28 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t80)))) % 34.03/34.28 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 34.03/34.28 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t80)))) % 34.03/34.28 (assume @p62 (tptp.totalorderP tptp.nil)) % 34.03/34.28 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t80)))) % 34.03/34.28 (assume @p64 (tptp.strictorderP tptp.nil)) % 34.03/34.28 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t80)))) % 34.03/34.28 (assume @p66 (tptp.totalorderedP tptp.nil)) % 34.03/34.28 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t84) (or @t82 (and @t83 (tptp.totalorderedP @t1) (tptp.leq @t2 @t81))))))))) % 34.03/34.28 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t80)))) % 34.03/34.28 (assume @p69 (tptp.strictorderedP tptp.nil)) % 34.03/34.28 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t84) (or @t82 (and @t83 (tptp.strictorderedP @t1) (tptp.lt @t2 @t81))))))))) % 34.03/34.28 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t80)))) % 34.03/34.28 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 34.03/34.28 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t80)))) % 34.03/34.28 (assume @p74 (tptp.equalelemsP tptp.nil)) % 34.03/34.28 (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t52 @t1))))))) % 34.03/34.28 (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t24 (= @t54 @t1))))))) % 34.03/34.28 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t83 @t53 (= @t81 @t52) (= (tptp.tl @t1) @t54)) @t49)))))) % 34.03/34.28 (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t52 @t54) @t2))))) % 34.03/34.28 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t29 @t55) @t85)))))))) % 34.03/34.28 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t19 @t56) @t85)))))))) % 34.03/34.28 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 34.03/34.28 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.app @t55 @t12) (tptp.app @t2 @t19))))))))) % 34.03/34.28 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= (= tptp.nil @t55) (and @t82 @t51))))))) % 34.03/34.28 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 34.03/34.28 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t53 (= (tptp.hd @t55) @t52))))))) % 34.03/34.28 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t53 (= (tptp.tl @t55) (tptp.app @t54 @t1)))))))) % 34.03/34.28 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 (tptp.geq @t1 @t2)) @t3)))))) % 34.03/34.28 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t62 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 34.03/34.28 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 34.03/34.28 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 34.03/34.28 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t42) @t65)))))))) % 34.03/34.28 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (or @t3 @t64))))))) % 34.03/34.28 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 (and @t4 @t61))))))) % 34.03/34.28 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (not (tptp.gt @t1 @t2)))))))) % 34.03/34.28 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t66 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 34.03/34.28 (assume @p96 @t111) % 34.03/34.28 (assume @p97 true) % 34.03/34.28 (step @p98 :rule bool-impl-elim :args (@t17 @t112)) % 34.03/34.28 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t112)))) % 34.03/34.28 (step @p100 :rule eq-symm :args (@t57 @t2)) % 34.03/34.28 (step @p101 :rule refl :args (@t17)) % 34.03/34.28 (step @p102 :rule cong :premises (@p101 @p100) :args (@t58)) % 34.03/34.28 (step @p103 :rule cong :premises (@p102) :args (@t59)) % 34.03/34.28 (step @p104 :rule trans :premises (@p103 @p99)) % 34.03/34.28 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 34.03/34.28 (step @p106 :rule instantiate :premises (@p105) :args (@t129)) % 34.03/34.28 (step @p107 :rule refl :args (@t116)) % 34.03/34.28 (step @p108 :rule eq-symm :args (@t113 tptp.nil)) % 34.03/34.28 (step @p109 :rule refl :args (@t119)) % 34.03/34.28 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t131)) % 34.03/34.28 (step @p111 :rule refl :args (@t123)) % 34.03/34.28 (step @p112 :rule refl :args (@t118)) % 34.03/34.28 (step @p113 :rule cong :premises (@p108) :args (@t132)) % 34.03/34.28 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t133)) % 34.03/34.28 (step @p115 :rule nary_cong :premises (@p114 @p111) :args (@t134)) % 34.03/34.28 (step @p116 :rule refl :args (@t124)) % 34.03/34.28 (step @p117 :rule refl :args (@t125)) % 34.03/34.28 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p110 @p107) :args (@t135)) % 34.03/34.28 (step @p119 :rule aci_norm :args ((= @t137 @t135))) % 34.03/34.28 (step @p120 :rule trans :premises (@p119 @p118)) % 34.03/34.28 (step @p121 :rule cong :premises (@p120) :args (@t138)) % 34.03/34.28 (step @p122 :rule quant-merge-prenex :args ((= (forall @t9 @t140) @t138))) % 34.03/34.28 (step @p123 :rule alpha_equiv :args (@t141 (@list @t113 @t115) (@list @t1 @t142))) % 34.03/34.28 (step @p124 :rule refl :args (@t125)) % 34.03/34.28 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t143)) % 34.03/34.28 (step @p126 :rule quant-miniscope-or :args ((= @t140 @t143))) % 34.03/34.28 (step @p127 :rule trans :premises (@p126 @p125)) % 34.03/34.28 (step @p128 :rule symm :premises (@p127)) % 34.03/34.28 (step @p129 :rule cong :premises (@p128) :args ((forall @t9 @t154))) % 34.03/34.28 (step @p130 :rule trans :premises (@p129 @p122)) % 34.03/34.28 (step @p131 :rule trans :premises (@p130 @p121)) % 34.03/34.28 (step @p132 :rule aci_norm :args ((= (or @t125 @t154) @t154))) % 34.03/34.28 (step @p133 :rule bool-impl-elim :args (@t17 @t154)) % 34.03/34.28 (step @p134 :rule trans :premises (@p133 @p132)) % 34.03/34.28 (step @p135 :rule cong :premises (@p134) :args ((forall @t9 (=> @t17 @t154)))) % 34.03/34.28 (step @p136 :rule trans :premises (@p135 @p131)) % 34.03/34.28 (step @p137 :rule quant-merge-prenex :args ((= (forall @t7 @t156) @t153))) % 34.03/34.28 (step @p138 :rule quant-unused-vars :args ((= @t157 @t91))) % 34.03/34.28 (step @p139 :rule alpha_equiv :args (@t158 (@list @t142) @t160)) % 34.03/34.28 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t161)) % 34.03/34.28 (step @p141 :rule quant-miniscope-and :args ((= @t162 @t161))) % 34.03/34.28 (step @p142 :rule trans :premises (@p141 @p140)) % 34.03/34.28 (step @p143 :rule refl :args (@t147)) % 34.03/34.28 (step @p144 :rule refl :args (@t150)) % 34.03/34.28 (step @p145 :rule refl :args (@t151)) % 34.03/34.28 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142) :args (@t163)) % 34.03/34.28 (step @p147 :rule quant-miniscope-or :args ((= @t156 @t163))) % 34.03/34.28 (step @p148 :rule trans :premises (@p147 @p146)) % 34.03/34.28 (step @p149 :rule symm :premises (@p148)) % 34.03/34.28 (step @p150 :rule cong :premises (@p149) :args (@t166)) % 34.03/34.28 (step @p151 :rule trans :premises (@p150 @p137)) % 34.03/34.28 (step @p152 :rule nary_cong :premises (@p117 @p151) :args (@t167)) % 34.03/34.28 (step @p153 :rule quant-miniscope-or :args ((= (forall @t7 @t168) @t167))) % 34.03/34.28 (step @p154 :rule aci_norm :args ((= @t169 @t168))) % 34.03/34.28 (step @p155 :rule cong :premises (@p154) :args ((forall @t7 @t169))) % 34.03/34.28 (step @p156 :rule trans :premises (@p155 @p153)) % 34.03/34.28 (step @p157 :rule trans :premises (@p156 @p152)) % 34.03/34.28 (step @p158 :rule aci_norm :args ((= (or @t151 @t170) @t169))) % 34.03/34.28 (step @p159 :rule bool-impl-elim :args (@t24 @t170)) % 34.03/34.28 (step @p160 :rule trans :premises (@p159 @p158)) % 34.03/34.28 (step @p161 :rule cong :premises (@p160) :args ((forall @t7 (=> @t24 @t170)))) % 34.03/34.28 (step @p162 :rule trans :premises (@p161 @p157)) % 34.03/34.28 (step @p163 :rule aci_norm :args ((= (or @t150 @t151 (or @t125 @t147 @t164)) @t170))) % 34.03/34.28 (step @p164 :rule quant-unused-vars :args ((= @t173 @t91))) % 34.03/34.28 (step @p165 :rule alpha_equiv :args (@t178 @t179 @t160)) % 34.03/34.28 (step @p166 :rule nary_cong :premises (@p165 @p164) :args (@t180)) % 34.03/34.28 (step @p167 :rule quant-miniscope-and :args ((= @t182 @t180))) % 34.03/34.28 (step @p168 :rule trans :premises (@p167 @p166)) % 34.03/34.28 (step @p169 :rule refl :args (@t147)) % 34.03/34.28 (step @p170 :rule nary_cong :premises (@p117 @p169 @p168) :args (@t183)) % 34.03/34.28 (step @p171 :rule quant-miniscope-or :args ((= (forall @t172 @t184) @t183))) % 34.03/34.28 (step @p172 :rule trans :premises (@p171 @p170)) % 34.03/34.28 (step @p173 :rule aci_norm :args ((= (or @t125 false @t147 @t181) @t184))) % 34.03/34.28 (step @p174 :rule refl :args (@t181)) % 34.03/34.28 (step @p175 :rule evaluate :args ((not true))) % 34.03/34.28 (step @p176 :rule eq-refl :args (@t2)) % 34.03/34.28 (step @p177 :rule cong :premises (@p176) :args (@t185)) % 34.03/34.28 (step @p178 :rule trans :premises (@p177 @p175)) % 34.03/34.28 (step @p179 :rule nary_cong :premises (@p117 @p178 @p169 @p174) :args (@t186)) % 34.03/34.28 (step @p180 :rule trans :premises (@p179 @p173)) % 34.03/34.28 (step @p181 :rule cong :premises (@p180) :args ((forall @t172 @t186))) % 34.03/34.28 (step @p182 :rule trans :premises (@p181 @p172)) % 34.03/34.28 (step @p183 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t85) @t191 @t100 @t190 @t188)) @t186))) % 34.03/34.28 (step @p184 :rule refl :args (@t188)) % 34.03/34.28 (step @p185 :rule refl :args (@t190)) % 34.03/34.28 (step @p186 :rule refl :args (@t100)) % 34.03/34.28 (step @p187 :rule refl :args (@t191)) % 34.03/34.28 (step @p188 :rule eq-symm :args (@t2 @t12)) % 34.03/34.28 (step @p189 :rule cong :premises (@p188) :args (@t100)) % 34.03/34.28 (step @p190 :rule nary_cong :premises (@p189 @p187 @p186 @p185 @p184) :args (@t192)) % 34.03/34.28 (step @p191 :rule aci_norm :args ((= @t193 @t192))) % 34.03/34.28 (step @p192 :rule trans :premises (@p191 @p190)) % 34.03/34.28 (step @p193 :rule cong :premises (@p192) :args (@t194)) % 34.03/34.28 (step @p194 :rule trans :premises (@p193 @p183)) % 34.03/34.28 (step @p195 :rule cong :premises (@p194) :args (@t195)) % 34.03/34.28 (step @p196 :rule quant-merge-prenex :args ((= @t195 @t196))) % 34.03/34.28 (step @p197 :rule symm :premises (@p196)) % 34.03/34.28 (step @p198 :rule quant_var_reordering :args ((= @t197 @t196))) % 34.03/34.28 (step @p199 :rule trans :premises (@p198 @p197 @p195)) % 34.03/34.28 (step @p200 :rule trans :premises (@p199 @p182)) % 34.03/34.28 (step @p201 :rule quant-merge-prenex :args ((= (forall @t16 @t198) @t197))) % 34.03/34.28 (step @p202 :rule alpha_equiv :args (@t199 @t179 @t201)) % 34.03/34.28 (step @p203 :rule nary_cong :premises (@p202 @p164) :args (@t202)) % 34.03/34.28 (step @p204 :rule quant-miniscope-and :args ((= @t203 @t202))) % 34.03/34.28 (step @p205 :rule trans :premises (@p204 @p203)) % 34.03/34.28 (step @p206 :rule nary_cong :premises (@p187 @p186 @p185 @p205) :args (@t204)) % 34.03/34.28 (step @p207 :rule quant-miniscope-or :args ((= @t198 @t204))) % 34.03/34.28 (step @p208 :rule trans :premises (@p207 @p206)) % 34.03/34.28 (step @p209 :rule symm :premises (@p208)) % 34.03/34.28 (step @p210 :rule cong :premises (@p209) :args (@t207)) % 34.03/34.28 (step @p211 :rule trans :premises (@p210 @p201)) % 34.03/34.28 (step @p212 :rule trans :premises (@p211 @p200)) % 34.03/34.28 (step @p213 :rule refl :args (@t151)) % 34.03/34.28 (step @p214 :rule refl :args (@t150)) % 34.03/34.28 (step @p215 :rule nary_cong :premises (@p214 @p213 @p212) :args (@t208)) % 34.03/34.28 (step @p216 :rule trans :premises (@p215 @p163)) % 34.03/34.28 (step @p217 :rule quant-miniscope-or :args ((= (forall @t16 @t209) @t208))) % 34.03/34.28 (step @p218 :rule aci_norm :args ((= @t210 @t209))) % 34.03/34.28 (step @p219 :rule cong :premises (@p218) :args ((forall @t16 @t210))) % 34.03/34.28 (step @p220 :rule trans :premises (@p219 @p217)) % 34.03/34.28 (step @p221 :rule trans :premises (@p220 @p216)) % 34.03/34.28 (step @p222 :rule aci_norm :args ((= (or @t191 @t211) @t210))) % 34.03/34.28 (step @p223 :rule bool-impl-elim :args (@t15 @t211)) % 34.03/34.28 (step @p224 :rule trans :premises (@p223 @p222)) % 34.03/34.28 (step @p225 :rule cong :premises (@p224) :args ((forall @t16 (=> @t15 @t211)))) % 34.03/34.28 (step @p226 :rule trans :premises (@p225 @p221)) % 34.03/34.28 (step @p227 :rule aci_norm :args ((= (or @t100 @t150 (or @t151 @t190 @t205)) @t211))) % 34.03/34.28 (step @p228 :rule quant-unused-vars :args ((= @t214 @t91))) % 34.03/34.28 (step @p229 :rule alpha_equiv :args (@t219 @t220 @t201)) % 34.03/34.28 (step @p230 :rule nary_cong :premises (@p229 @p228) :args (@t221)) % 34.03/34.28 (step @p231 :rule quant-miniscope-and :args ((= @t223 @t221))) % 34.03/34.28 (step @p232 :rule trans :premises (@p231 @p230)) % 34.03/34.28 (step @p233 :rule refl :args (@t190)) % 34.03/34.28 (step @p234 :rule nary_cong :premises (@p213 @p233 @p232) :args (@t224)) % 34.03/34.28 (step @p235 :rule quant-miniscope-or :args ((= (forall @t213 @t225) @t224))) % 34.03/34.28 (step @p236 :rule trans :premises (@p235 @p234)) % 34.03/34.28 (step @p237 :rule aci_norm :args ((= (or @t151 false @t190 @t222) @t225))) % 34.03/34.28 (step @p238 :rule refl :args (@t222)) % 34.03/34.28 (step @p239 :rule eq-refl :args (@t1)) % 34.03/34.28 (step @p240 :rule cong :premises (@p239) :args (@t226)) % 34.03/34.28 (step @p241 :rule trans :premises (@p240 @p175)) % 34.03/34.28 (step @p242 :rule nary_cong :premises (@p213 @p241 @p233 @p238) :args (@t227)) % 34.03/34.28 (step @p243 :rule trans :premises (@p242 @p237)) % 34.03/34.28 (step @p244 :rule cong :premises (@p243) :args ((forall @t213 @t227))) % 34.03/34.28 (step @p245 :rule trans :premises (@p244 @p236)) % 34.03/34.28 (step @p246 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t102 @t101 @t230 @t229)) @t227))) % 34.03/34.28 (step @p247 :rule refl :args (@t229)) % 34.03/34.28 (step @p248 :rule refl :args (@t230)) % 34.03/34.28 (step @p249 :rule refl :args (@t101)) % 34.03/34.28 (step @p250 :rule refl :args (@t102)) % 34.03/34.28 (step @p251 :rule eq-symm :args (@t1 @t10)) % 34.03/34.28 (step @p252 :rule cong :premises (@p251) :args (@t101)) % 34.03/34.28 (step @p253 :rule nary_cong :premises (@p252 @p250 @p249 @p248 @p247) :args (@t231)) % 34.03/34.28 (step @p254 :rule aci_norm :args ((= @t232 @t231))) % 34.03/34.28 (step @p255 :rule trans :premises (@p254 @p253)) % 34.03/34.28 (step @p256 :rule cong :premises (@p255) :args (@t233)) % 34.03/34.28 (step @p257 :rule trans :premises (@p256 @p246)) % 34.03/34.28 (step @p258 :rule cong :premises (@p257) :args (@t234)) % 34.03/34.28 (step @p259 :rule quant-merge-prenex :args ((= @t234 @t235))) % 34.03/34.28 (step @p260 :rule symm :premises (@p259)) % 34.03/34.28 (step @p261 :rule quant_var_reordering :args ((= @t236 @t235))) % 34.03/34.28 (step @p262 :rule trans :premises (@p261 @p260 @p258)) % 34.03/34.28 (step @p263 :rule trans :premises (@p262 @p245)) % 34.03/34.28 (step @p264 :rule quant-merge-prenex :args ((= (forall @t14 @t237) @t236))) % 34.03/34.28 (step @p265 :rule quant-unused-vars :args ((= @t238 @t96))) % 34.03/34.28 (step @p266 :rule alpha_equiv :args (@t239 @t220 (@list @t35))) % 34.03/34.28 (step @p267 :rule nary_cong :premises (@p266 @p265) :args (@t240)) % 34.03/34.28 (step @p268 :rule quant-miniscope-and :args ((= @t241 @t240))) % 34.03/34.28 (step @p269 :rule trans :premises (@p268 @p267)) % 34.03/34.28 (step @p270 :rule nary_cong :premises (@p250 @p249 @p248 @p269) :args (@t242)) % 34.03/34.28 (step @p271 :rule quant-miniscope-or :args ((= @t237 @t242))) % 34.03/34.28 (step @p272 :rule trans :premises (@p271 @p270)) % 34.03/34.28 (step @p273 :rule symm :premises (@p272)) % 34.03/34.28 (step @p274 :rule cong :premises (@p273) :args (@t244)) % 34.03/34.28 (step @p275 :rule trans :premises (@p274 @p264)) % 34.03/34.28 (step @p276 :rule trans :premises (@p275 @p263)) % 34.03/34.28 (step @p277 :rule refl :args (@t100)) % 34.03/34.28 (step @p278 :rule nary_cong :premises (@p277 @p214 @p276) :args (@t245)) % 34.03/34.28 (step @p279 :rule trans :premises (@p278 @p227)) % 34.03/34.28 (step @p280 :rule quant-miniscope-or :args ((= (forall @t14 @t246) @t245))) % 34.03/34.28 (step @p281 :rule aci_norm :args ((= @t247 @t246))) % 34.03/34.28 (step @p282 :rule cong :premises (@p281) :args ((forall @t14 @t247))) % 34.03/34.28 (step @p283 :rule trans :premises (@p282 @p280)) % 34.03/34.28 (step @p284 :rule trans :premises (@p283 @p279)) % 34.03/34.28 (step @p285 :rule aci_norm :args ((= (or @t122 (or @t121 (or @t148 @t120))) @t149))) % 34.03/34.28 (step @p286 :rule bool-and-de-morgan :args (@t87 @t86 true)) % 34.03/34.28 (step @p287 :rule refl :args (@t121)) % 34.03/34.28 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or @t121 (not (and @t87 @t86))))) % 34.03/34.28 (step @p289 :rule bool-and-de-morgan :args (@t88 @t87 (and @t86))) % 34.03/34.28 (step @p290 :rule trans :premises (@p289 @p288)) % 34.03/34.28 (step @p291 :rule refl :args (@t122)) % 34.03/34.28 (step @p292 :rule nary_cong :premises (@p291 @p290) :args ((or @t122 (not (and @t88 @t87 @t86))))) % 34.03/34.28 (step @p293 :rule bool-and-de-morgan :args (@t37 @t88 (and @t87 @t86))) % 34.03/34.28 (step @p294 :rule trans :premises (@p293 @p292)) % 34.03/34.28 (step @p295 :rule trans :premises (@p294 @p285)) % 34.03/34.28 (step @p296 :rule cong :premises (@p295) :args (@t248)) % 34.03/34.28 (step @p297 :rule cong :premises (@p296) :args (@t249)) % 34.03/34.28 (step @p298 :rule exists-elim :args ((= @t90 @t249))) % 34.03/34.28 (step @p299 :rule trans :premises (@p298 @p297)) % 34.03/34.28 (step @p300 :rule refl :args (@t92)) % 34.03/34.28 (step @p301 :rule nary_cong :premises (@p300 @p299) :args (@t93)) % 34.03/34.28 (step @p302 :rule eq-symm :args (tptp.nil @t2)) % 34.03/34.28 (step @p303 :rule eq-symm :args (tptp.nil @t1)) % 34.03/34.28 (step @p304 :rule cong :premises (@p303) :args (@t83)) % 34.03/34.28 (step @p305 :rule nary_cong :premises (@p304 @p302) :args (@t94)) % 34.03/34.28 (step @p306 :rule nary_cong :premises (@p305 @p301) :args (@t95)) % 34.03/34.28 (step @p307 :rule refl :args (@t97)) % 34.03/34.28 (step @p308 :rule eq-symm :args (tptp.nil @t10)) % 34.03/34.28 (step @p309 :rule eq-symm :args (tptp.nil @t12)) % 34.03/34.28 (step @p310 :rule cong :premises (@p309) :args (@t98)) % 34.03/34.28 (step @p311 :rule nary_cong :premises (@p310 @p308) :args (@t99)) % 34.03/34.28 (step @p312 :rule refl :args (@t101)) % 34.03/34.28 (step @p313 :rule refl :args (@t102)) % 34.03/34.28 (step @p314 :rule nary_cong :premises (@p313 @p312 @p277 @p311 @p307 @p306) :args (@t103)) % 34.03/34.28 (step @p315 :rule cong :premises (@p314) :args (@t104)) % 34.03/34.28 (step @p316 :rule trans :premises (@p315 @p284)) % 34.03/34.28 (step @p317 :rule refl :args (@t15)) % 34.03/34.28 (step @p318 :rule cong :premises (@p317 @p316) :args (@t105)) % 34.03/34.28 (step @p319 :rule cong :premises (@p318) :args (@t106)) % 34.03/34.28 (step @p320 :rule trans :premises (@p319 @p226)) % 34.03/34.28 (step @p321 :rule refl :args (@t24)) % 34.03/34.28 (step @p322 :rule cong :premises (@p321 @p320) :args (@t107)) % 34.03/34.28 (step @p323 :rule cong :premises (@p322) :args (@t108)) % 34.03/34.28 (step @p324 :rule trans :premises (@p323 @p162)) % 34.03/34.28 (step @p325 :rule cong :premises (@p101 @p324) :args (@t109)) % 34.03/34.28 (step @p326 :rule cong :premises (@p325) :args (@t110)) % 34.03/34.28 (step @p327 :rule trans :premises (@p326 @p136)) % 34.03/34.28 (step @p328 :rule cong :premises (@p327) :args (@t111)) % 34.03/34.28 (step @p329 :rule eq_resolve :premises (@p96 @p328)) % 34.03/34.28 (step @p330 :rule refl :args (@t279)) % 34.03/34.28 (step @p331 :rule bool-double-not-elim :args (@t127)) % 34.03/34.28 (step @p332 :rule nary_cong :premises (@p331 @p330) :args ((or (not @t280) @t279))) % 34.03/34.28 (step @p333 :rule refl :args (@t262)) % 34.03/34.28 (step @p334 :rule refl :args (@t263)) % 34.03/34.28 (step @p335 :rule eq-symm :args (@t252 tptp.nil)) % 34.03/34.28 (step @p336 :rule cong :premises (@p335) :args (@t282)) % 34.03/34.28 (step @p337 :rule nary_cong :premises (@p336 @p334) :args (@t283)) % 34.03/34.28 (step @p338 :rule refl :args (@t270)) % 34.03/34.28 (step @p339 :rule refl :args (@t271)) % 34.03/34.28 (step @p340 :rule nary_cong :premises (@p339 @p335) :args (@t284)) % 34.03/34.28 (step @p341 :rule nary_cong :premises (@p340 @p338) :args (@t285)) % 34.03/34.28 (step @p342 :rule refl :args (@t275)) % 34.03/34.28 (step @p343 :rule refl :args (@t277)) % 34.03/34.28 (step @p344 :rule nary_cong :premises (@p343 @p342 @p341 @p337 @p333) :args (@t286)) % 34.03/34.28 (step @p345 :rule cong :premises (@p344) :args (@t287)) % 34.03/34.28 (step @p346 :rule refl :args (@t280)) % 34.03/34.28 (step @p347 :rule cong :premises (@p346 @p345) :args ((=> @t280 @t287))) % 34.03/34.28 (assume-push @p768 @t280) % 34.03/34.28 (step @p349 :rule skolemize :premises (@p329)) % 34.03/34.28 (step-pop @p769 :rule scope :premises (@p349)) % 34.03/34.28 (step @p350 :rule process_scope :premises (@p769) :args (@t287)) % 34.03/34.28 (step @p352 :rule eq_resolve :premises (@p350 @p347)) % 34.03/34.28 (step @p353 :rule implies_elim :premises (@p352)) % 34.03/34.28 (step @p354 :rule eq_resolve :premises (@p353 @p332)) % 34.03/34.28 (step @p355 :rule chain_m_resolution :premises (@p354 @p329) :args (@t279 @t288 (@list @t127))) % 34.03/34.28 (step @p356 :rule cnf_or_neg :args (@t278 4)) % 34.03/34.28 (step @p357 :rule chain_m_resolution :premises (@p356 @p355) :args ((not @t262) @t288 @t289)) % 34.03/34.28 (step @p358 :rule cnf_or_neg :args (@t278 3)) % 34.03/34.28 (step @p359 :rule chain_m_resolution :premises (@p358 @p355) :args ((not @t266) @t288 @t289)) % 34.03/34.28 (step @p360 :rule bool-double-not-elim :args (@t264)) % 34.03/34.28 (step @p361 :rule refl :args (@t266)) % 34.03/34.28 (step @p362 :rule nary_cong :premises (@p361 @p360 @p339) :args ((or @t266 (not @t265) @t271))) % 34.03/34.28 (step @p363 :rule cnf_and_neg :args (@t266)) % 34.03/34.28 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 34.03/34.28 (step @p365 :rule reordering :premises (@p364) :args ((or @t271 @t264 @t266))) % 34.03/34.28 (step @p366 :rule cnf_or_neg :args (@t272 1)) % 34.03/34.28 (step @p367 :rule cnf_or_neg :args (@t278 2)) % 34.03/34.28 (step @p368 :rule chain_m_resolution :premises (@p367 @p355) :args ((not @t273) @t288 @t289)) % 34.03/34.28 (step @p369 :rule cnf_and_neg :args (@t273)) % 34.03/34.28 (step @p370 :rule bool-double-not-elim :args (@t251)) % 34.03/34.28 (step @p371 :rule nary_cong :premises (@p338 @p370) :args ((or @t270 (not @t269)))) % 34.03/34.28 (step @p372 :rule cnf_or_neg :args (@t270 0)) % 34.03/34.28 (step @p373 :rule eq_resolve :premises (@p372 @p371)) % 34.03/34.28 (step @p374 :rule reordering :premises (@p373) :args ((or @t251 @t270))) % 34.03/34.28 (step @p375 :rule aci_norm :args ((= @t295 @t293))) % 34.03/34.28 (step @p376 :rule cong :premises (@p375) :args (@t297)) % 34.03/34.28 (step @p377 :rule quant-merge-prenex :args ((= (forall @t9 @t299) @t297))) % 34.03/34.28 (step @p378 :rule alpha_equiv :args (@t300 (@list @t290) @t301)) % 34.03/34.28 (step @p379 :rule nary_cong :premises (@p124 @p378) :args (@t302)) % 34.03/34.28 (step @p380 :rule quant-miniscope-or :args ((= @t299 @t302))) % 34.03/34.28 (step @p381 :rule trans :premises (@p380 @p379)) % 34.03/34.28 (step @p382 :rule symm :premises (@p381)) % 34.03/34.28 (step @p383 :rule cong :premises (@p382) :args ((forall @t9 (or @t125 @t303)))) % 34.03/34.28 (step @p384 :rule trans :premises (@p383 @p377)) % 34.03/34.28 (step @p385 :rule trans :premises (@p384 @p376)) % 34.03/34.28 (step @p386 :rule bool-impl-elim :args (@t17 @t303)) % 34.03/34.28 (step @p387 :rule cong :premises (@p386) :args ((forall @t9 (=> @t17 @t303)))) % 34.03/34.28 (step @p388 :rule trans :premises (@p387 @p385)) % 34.03/34.28 (step @p389 :rule bool-impl-elim :args (@t24 @t5)) % 34.03/34.28 (step @p390 :rule cong :premises (@p389) :args (@t44)) % 34.03/34.28 (step @p391 :rule cong :premises (@p101 @p390) :args (@t45)) % 34.03/34.28 (step @p392 :rule cong :premises (@p391) :args (@t46)) % 34.03/34.28 (step @p393 :rule trans :premises (@p392 @p388)) % 34.03/34.28 (step @p394 :rule eq_resolve :premises (@p15 @p393)) % 34.03/34.28 (step @p395 :rule bool-eq-false :args (@t304)) % 34.03/34.28 (step @p396 :rule eq-refl :args (tptp.nil)) % 34.03/34.28 (step @p397 :rule cong :premises (@p396) :args (@t305)) % 34.03/34.28 (step @p398 :rule trans :premises (@p397 @p175)) % 34.03/34.28 (step @p399 :rule refl :args (@t304)) % 34.03/34.28 (step @p400 :rule cong :premises (@p399 @p398) :args (@t306)) % 34.03/34.28 (step @p401 :rule trans :premises (@p400 @p395)) % 34.03/34.28 (step @p402 :rule refl :args (@t307)) % 34.03/34.28 (step @p403 :rule nary_cong :premises (@p402 @p402 @p401) :args (@t308)) % 34.03/34.28 (step @p404 :rule refl :args (@t309)) % 34.03/34.28 (step @p405 :rule cong :premises (@p404 @p403) :args ((=> @t309 @t308))) % 34.03/34.28 (assume-push @p770 @t309) % 34.03/34.28 (step @p407 :rule instantiate :premises (@p394) :args ((@list tptp.nil tptp.nil))) % 34.03/34.28 (step-pop @p771 :rule scope :premises (@p407)) % 34.03/34.28 (step @p408 :rule process_scope :premises (@p771) :args (@t308)) % 34.03/34.28 (step @p410 :rule eq_resolve :premises (@p408 @p405)) % 34.03/34.28 (step @p411 :rule implies_elim :premises (@p410)) % 34.03/34.28 (step @p412 :rule chain_m_resolution :premises (@p411 @p394) :args (@t311 @t312 (@list @t309))) % 34.03/34.28 (step @p413 :rule cnf_or_pos :args (@t311)) % 34.03/34.28 (step @p414 :rule factoring :premises (@p413)) % 34.03/34.28 (step @p415 :rule reordering :premises (@p414) :args ((or @t307 @t310 (not @t311)))) % 34.03/34.28 (step @p416 :rule chain_m_resolution :premises (@p415 @p17 @p412) :args (@t310 @t313 (@list @t48 @t311))) % 34.03/34.28 (step @p417 :rule refl :args (@t269)) % 34.03/34.28 (step @p418 :rule bool-double-not-elim :args (@t304)) % 34.03/34.28 (step @p419 :rule nary_cong :premises (@p339 @p418 @p417) :args ((or @t271 (not @t310) @t269))) % 34.03/34.28 (assume-push @p772 @t263) % 34.03/34.28 (assume-push @p773 @t310) % 34.03/34.28 (assume-push @p774 @t310) % 34.03/34.28 (assume-push @p775 @t263) % 34.03/34.28 (step @p424 :rule false_intro :premises (@p416)) % 34.03/34.28 (step @p425 :rule refl :args (tptp.nil)) % 34.03/34.28 (step @p426 :rule symm :premises (@p772)) % 34.03/34.28 (step @p427 :rule cong :premises (@p426 @p425) :args (@t251)) % 34.03/34.28 (step @p428 :rule trans :premises (@p427 @p424)) % 34.03/34.28 (step @p429 :rule false_elim :premises (@p428)) % 34.03/34.28 (step-pop @p776 :rule scope :premises (@p429)) % 34.03/34.28 (step-pop @p777 :rule scope :premises (@p776)) % 34.03/34.28 (step @p430 :rule process_scope :premises (@p777) :args (@t269)) % 34.03/34.28 (step @p433 :rule and_intro :premises (@p416 @p772)) % 34.03/34.28 (step @p434 :rule modus_ponens :premises (@p433 @p430)) % 34.03/34.28 (step-pop @p778 :rule scope :premises (@p434)) % 34.03/34.28 (step-pop @p779 :rule scope :premises (@p778)) % 34.03/34.28 (step @p435 :rule process_scope :premises (@p779) :args (@t269)) % 34.03/34.28 (step @p438 :rule implies_elim :premises (@p435)) % 34.03/34.28 (step @p439 :rule cnf_and_neg :args (@t314)) % 34.03/34.28 (step @p440 :rule resolution :premises (@p439 @p438) :args (true @t314)) % 34.03/34.28 (step @p441 :rule eq_resolve :premises (@p440 @p419)) % 34.03/34.28 (step @p442 :rule reordering :premises (@p441) :args ((or @t271 @t269 @t304))) % 34.03/34.28 (step @p443 :rule chain_m_resolution :premises (@p442 @p416 @p374 @p369 @p368 @p366 @p365 @p359) :args (@t271 (@list true false true true false false true) (@list @t304 @t251 @t270 @t273 @t272 @t264 @t266))) % 34.03/34.28 (step @p444 :rule bool-double-not-elim :args (@t263)) % 34.03/34.28 (step @p445 :rule refl :args (@t272)) % 34.03/34.28 (step @p446 :rule nary_cong :premises (@p445 @p444) :args ((or @t272 (not @t271)))) % 34.03/34.28 (step @p447 :rule cnf_or_neg :args (@t272 0)) % 34.03/34.28 (step @p448 :rule eq_resolve :premises (@p447 @p446)) % 34.03/34.28 (step @p449 :rule reordering :premises (@p448) :args ((or @t263 @t272))) % 34.03/34.28 (step @p450 :rule chain_m_resolution :premises (@p449 @p443) :args (@t272 @t288 (@list @t263))) % 34.03/34.28 (step @p451 :rule chain_m_resolution :premises (@p369 @p368 @p450) :args ((not @t270) (@list true false) (@list @t273 @t272))) % 34.03/34.28 (step @p452 :rule chain_m_resolution :premises (@p374 @p451) :args (@t251 @t288 @t315)) % 34.03/34.28 (step @p453 :rule cnf_and_neg :args (@t262)) % 34.03/34.28 (step @p454 :rule reordering :premises (@p453) :args ((or @t269 @t262 @t316))) % 34.03/34.28 (step @p455 :rule chain_m_resolution :premises (@p454 @p452 @p357) :args (@t316 (@list false true) (@list @t251 @t262))) % 34.03/34.28 (step @p456 :rule bool-double-not-elim :args (@t259)) % 34.03/34.28 (step @p457 :rule refl :args (@t261)) % 34.03/34.28 (step @p458 :rule nary_cong :premises (@p457 @p456) :args ((or @t261 (not @t260)))) % 34.03/34.28 (step @p459 :rule cnf_or_neg :args (@t261 0)) % 34.03/34.28 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 34.03/34.28 (step @p461 :rule reordering :premises (@p460) :args ((or @t259 @t261))) % 34.03/34.28 (step @p462 :rule chain_m_resolution :premises (@p461 @p455) :args (@t259 @t288 @t317)) % 34.03/34.28 (step @p463 :rule cnf_or_pos :args (@t320)) % 34.03/34.28 (step @p464 :rule reordering :premises (@p463) :args ((or @t260 @t319 (not @t320)))) % 34.03/34.28 (step @p465 :rule chain_m_resolution :premises (@p464 @p462 @p106) :args (@t319 @t313 (@list @t259 @t320))) % 34.03/34.28 (step @p466 :rule aci_norm :args ((= @t325 (or @t125 @t323 @t322)))) % 34.03/34.28 (step @p467 :rule cong :premises (@p466) :args (@t326)) % 34.03/34.28 (step @p468 :rule quant-merge-prenex :args ((= (forall @t9 @t328) @t326))) % 34.03/34.28 (step @p469 :rule alpha_equiv :args (@t329 (@list @t321) @t301)) % 34.03/34.28 (step @p470 :rule nary_cong :premises (@p124 @p469) :args (@t330)) % 34.03/34.28 (step @p471 :rule quant-miniscope-or :args ((= @t328 @t330))) % 34.03/34.28 (step @p472 :rule trans :premises (@p471 @p470)) % 34.03/34.28 (step @p473 :rule symm :premises (@p472)) % 34.03/34.28 (step @p474 :rule cong :premises (@p473) :args ((forall @t9 (or @t125 @t333)))) % 34.03/34.28 (step @p475 :rule trans :premises (@p474 @p468)) % 34.03/34.28 (step @p476 :rule trans :premises (@p475 @p467)) % 34.03/34.28 (step @p477 :rule bool-impl-elim :args (@t17 @t333)) % 34.03/34.28 (step @p478 :rule cong :premises (@p477) :args ((forall @t9 (=> @t17 @t333)))) % 34.03/34.28 (step @p479 :rule trans :premises (@p478 @p476)) % 34.03/34.28 (step @p480 :rule bool-impl-elim :args (@t24 @t332)) % 34.03/34.28 (step @p481 :rule cong :premises (@p480) :args ((forall @t7 (=> @t24 @t332)))) % 34.03/34.28 (step @p482 :rule bool-and-de-morgan :args (@t15 @t331 true)) % 34.03/34.28 (step @p483 :rule cong :premises (@p482) :args (@t335)) % 34.03/34.28 (step @p484 :rule cong :premises (@p483) :args (@t336)) % 34.03/34.28 (step @p485 :rule exists-elim :args ((= (exists @t16 @t334) @t336))) % 34.03/34.28 (step @p486 :rule trans :premises (@p485 @p484)) % 34.03/34.28 (step @p487 :rule eq-symm :args (@t19 @t2)) % 34.03/34.28 (step @p488 :rule nary_cong :premises (@p317 @p487) :args (@t20)) % 34.03/34.28 (step @p489 :rule cong :premises (@p488) :args (@t21)) % 34.03/34.28 (step @p490 :rule trans :premises (@p489 @p486)) % 34.03/34.28 (step @p491 :rule refl :args (@t22)) % 34.03/34.28 (step @p492 :rule cong :premises (@p491 @p490) :args (@t23)) % 34.03/34.28 (step @p493 :rule cong :premises (@p321 @p492) :args (@t25)) % 34.03/34.28 (step @p494 :rule cong :premises (@p493) :args (@t26)) % 34.03/34.28 (step @p495 :rule trans :premises (@p494 @p481)) % 34.03/34.28 (step @p496 :rule cong :premises (@p101 @p495) :args (@t27)) % 34.03/34.28 (step @p497 :rule cong :premises (@p496) :args (@t28)) % 34.03/34.28 (step @p498 :rule trans :premises (@p497 @p479)) % 34.03/34.28 (step @p499 :rule eq_resolve :premises (@p5 @p498)) % 34.03/34.28 (step @p500 :rule instantiate :premises (@p499) :args ((@list @t252 @t128))) % 34.03/34.28 (step @p501 :rule bool-double-not-elim :args (@t276)) % 34.03/34.28 (step @p502 :rule refl :args (@t278)) % 34.03/34.28 (step @p503 :rule nary_cong :premises (@p502 @p501) :args ((or @t278 (not @t277)))) % 34.03/34.28 (step @p504 :rule cnf_or_neg :args (@t278 0)) % 34.03/34.28 (step @p505 :rule eq_resolve :premises (@p504 @p503)) % 34.03/34.28 (step @p506 :rule reordering :premises (@p505) :args ((or @t276 @t278))) % 34.03/34.28 (step @p507 :rule chain_m_resolution :premises (@p506 @p355) :args (@t276 @t288 @t289)) % 34.03/34.28 (step @p508 :rule cnf_or_pos :args (@t341)) % 34.03/34.28 (step @p509 :rule reordering :premises (@p508) :args ((or @t277 @t260 @t340 (not @t341)))) % 34.03/34.28 (step @p510 :rule chain_m_resolution :premises (@p509 @p507 @p462 @p500) :args (@t340 @t342 (@list @t276 @t259 @t341))) % 34.03/34.28 (step @p511 :rule bool-double-not-elim :args (@t253)) % 34.03/34.28 (step @p512 :rule nary_cong :premises (@p457 @p511) :args ((or @t261 (not @t254)))) % 34.03/34.28 (step @p513 :rule cnf_or_neg :args (@t261 3)) % 34.03/34.28 (step @p514 :rule eq_resolve :premises (@p513 @p512)) % 34.03/34.28 (step @p515 :rule reordering :premises (@p514) :args ((or @t253 @t261))) % 34.03/34.28 (step @p516 :rule chain_m_resolution :premises (@p515 @p455) :args (@t253 @t288 @t317)) % 34.03/34.28 (step @p517 :rule cnf_equiv_pos1 :args (@t340)) % 34.03/34.28 (step @p518 :rule reordering :premises (@p517) :args ((or @t254 @t339 (not @t340)))) % 34.03/34.28 (step @p519 :rule chain_m_resolution :premises (@p518 @p516 @p510) :args (@t339 @t313 (@list @t253 @t340))) % 34.03/34.28 (step @p520 :rule refl :args (@t350)) % 34.03/34.28 (step @p521 :rule bool-double-not-elim :args (@t338)) % 34.03/34.28 (step @p522 :rule nary_cong :premises (@p521 @p520) :args ((or (not @t339) @t350))) % 34.03/34.28 (assume-push @p780 @t339) % 34.03/34.28 (step @p524 :rule skolemize :premises (@p780)) % 34.03/34.28 (step-pop @p781 :rule scope :premises (@p524)) % 34.03/34.28 (step @p525 :rule process_scope :premises (@p781) :args (@t350)) % 34.03/34.28 (step @p527 :rule implies_elim :premises (@p525)) % 34.03/34.28 (step @p528 :rule eq_resolve :premises (@p527 @p522)) % 34.03/34.28 (step @p529 :rule chain_m_resolution :premises (@p528 @p519) :args (@t350 @t288 (@list @t338))) % 34.03/34.28 (step @p530 :rule bool-double-not-elim :args (@t345)) % 34.03/34.28 (step @p531 :rule refl :args (@t349)) % 34.03/34.28 (step @p532 :rule nary_cong :premises (@p531 @p530) :args ((or @t349 (not @t346)))) % 34.03/34.28 (step @p533 :rule cnf_or_neg :args (@t349 1)) % 34.03/34.28 (step @p534 :rule eq_resolve :premises (@p533 @p532)) % 34.03/34.28 (step @p535 :rule reordering :premises (@p534) :args ((or @t345 @t349))) % 34.03/34.28 (step @p536 :rule chain_m_resolution :premises (@p535 @p529) :args (@t345 @t288 @t351)) % 34.03/34.28 (step @p537 :rule bool-double-not-elim :args (@t267)) % 34.03/34.28 (step @p538 :rule nary_cong :premises (@p338 @p537) :args ((or @t270 (not @t268)))) % 34.03/34.28 (step @p539 :rule cnf_or_neg :args (@t270 1)) % 34.03/34.28 (step @p540 :rule eq_resolve :premises (@p539 @p538)) % 34.03/34.28 (step @p541 :rule reordering :premises (@p540) :args ((or @t267 @t270))) % 34.03/34.28 (step @p542 :rule chain_m_resolution :premises (@p541 @p451) :args (@t267 @t288 @t315)) % 34.03/34.28 (assume-push @p782 @t267) % 34.03/34.28 (step @p544 :rule instantiate :premises (@p782) :args (@t129)) % 34.03/34.28 (step-pop @p783 :rule scope :premises (@p544)) % 34.03/34.28 (step @p545 :rule process_scope :premises (@p783) :args (@t356)) % 34.03/34.28 (step @p547 :rule implies_elim :premises (@p545)) % 34.03/34.28 (step @p548 :rule chain_m_resolution :premises (@p547 @p542) :args (@t356 @t312 (@list @t267))) % 34.03/34.28 (step @p549 :rule aci_norm :args ((= @t366 (or @t125 @t364 @t363 @t362 @t361 @t360)))) % 34.03/34.28 (step @p550 :rule cong :premises (@p549) :args (@t367)) % 34.03/34.28 (step @p551 :rule quant-merge-prenex :args ((= (forall @t9 @t369) @t367))) % 34.03/34.28 (step @p552 :rule alpha_equiv :args (@t370 (@list @t357 @t359 @t358) (@list @t1 @t372 @t371))) % 34.03/34.28 (step @p553 :rule nary_cong :premises (@p124 @p552) :args (@t373)) % 34.03/34.28 (step @p554 :rule quant-miniscope-or :args ((= @t369 @t373))) % 34.03/34.28 (step @p555 :rule trans :premises (@p554 @p553)) % 34.03/34.28 (step @p556 :rule symm :premises (@p555)) % 34.03/34.28 (step @p557 :rule cong :premises (@p556) :args ((forall @t9 (or @t125 @t380)))) % 34.03/34.28 (step @p558 :rule trans :premises (@p557 @p551)) % 34.03/34.28 (step @p559 :rule trans :premises (@p558 @p550)) % 34.03/34.28 (step @p560 :rule bool-impl-elim :args (@t17 @t380)) % 34.03/34.28 (step @p561 :rule cong :premises (@p560) :args ((forall @t9 (=> @t17 @t380)))) % 34.03/34.28 (step @p562 :rule trans :premises (@p561 @p559)) % 34.03/34.28 (step @p563 :rule aci_norm :args ((= @t382 @t378))) % 34.03/34.28 (step @p564 :rule cong :premises (@p563) :args (@t383)) % 34.03/34.28 (step @p565 :rule quant-merge-prenex :args ((= (forall @t7 @t385) @t383))) % 34.03/34.28 (step @p566 :rule alpha_equiv :args (@t386 (@list @t372 @t371) (@list @t12 @t387))) % 34.03/34.28 (step @p567 :rule refl :args (@t377)) % 34.03/34.28 (step @p568 :rule nary_cong :premises (@p145 @p567 @p566) :args (@t388)) % 34.03/34.28 (step @p569 :rule quant-miniscope-or :args ((= @t385 @t388))) % 34.03/34.28 (step @p570 :rule trans :premises (@p569 @p568)) % 34.03/34.28 (step @p571 :rule symm :premises (@p570)) % 34.03/34.28 (step @p572 :rule cong :premises (@p571) :args ((forall @t7 @t394))) % 34.03/34.28 (step @p573 :rule trans :premises (@p572 @p565)) % 34.03/34.28 (step @p574 :rule trans :premises (@p573 @p564)) % 34.03/34.28 (step @p575 :rule aci_norm :args ((= (or @t151 @t395) @t394))) % 34.03/34.28 (step @p576 :rule bool-impl-elim :args (@t24 @t395)) % 34.03/34.28 (step @p577 :rule trans :premises (@p576 @p575)) % 34.03/34.28 (step @p578 :rule cong :premises (@p577) :args ((forall @t7 (=> @t24 @t395)))) % 34.03/34.28 (step @p579 :rule trans :premises (@p578 @p574)) % 34.03/34.28 (step @p580 :rule aci_norm :args ((= @t397 @t391))) % 34.03/34.28 (step @p581 :rule cong :premises (@p580) :args (@t398)) % 34.03/34.28 (step @p582 :rule quant-merge-prenex :args ((= (forall @t16 @t400) @t398))) % 34.03/34.28 (step @p583 :rule alpha_equiv :args (@t401 (@list @t387) (@list @t10))) % 34.03/34.28 (step @p584 :rule nary_cong :premises (@p187 @p583) :args (@t402)) % 34.03/34.28 (step @p585 :rule quant-miniscope-or :args ((= @t400 @t402))) % 34.03/34.28 (step @p586 :rule trans :premises (@p585 @p584)) % 34.03/34.28 (step @p587 :rule symm :premises (@p586)) % 34.03/34.28 (step @p588 :rule cong :premises (@p587) :args (@t406)) % 34.03/34.28 (step @p589 :rule trans :premises (@p588 @p582)) % 34.03/34.28 (step @p590 :rule trans :premises (@p589 @p581)) % 34.03/34.28 (step @p591 :rule refl :args (@t377)) % 34.03/34.28 (step @p592 :rule nary_cong :premises (@p591 @p590) :args (@t407)) % 34.03/34.28 (step @p593 :rule quant-miniscope-or :args ((= (forall @t16 @t408) @t407))) % 34.03/34.28 (step @p594 :rule aci_norm :args ((= @t409 @t408))) % 34.03/34.28 (step @p595 :rule cong :premises (@p594) :args ((forall @t16 @t409))) % 34.03/34.28 (step @p596 :rule trans :premises (@p595 @p593)) % 34.03/34.28 (step @p597 :rule trans :premises (@p596 @p592)) % 34.03/34.28 (step @p598 :rule aci_norm :args ((= (or @t191 @t410) @t409))) % 34.03/34.28 (step @p599 :rule bool-impl-elim :args (@t15 @t410)) % 34.03/34.28 (step @p600 :rule trans :premises (@p599 @p598)) % 34.03/34.28 (step @p601 :rule cong :premises (@p600) :args ((forall @t16 (=> @t15 @t410)))) % 34.03/34.28 (step @p602 :rule trans :premises (@p601 @p597)) % 34.03/34.28 (step @p603 :rule quant-miniscope-or :args ((= (forall @t14 @t411) @t410))) % 34.03/34.28 (step @p604 :rule aci_norm :args ((= @t412 @t411))) % 34.03/34.28 (step @p605 :rule cong :premises (@p604) :args ((forall @t14 @t412))) % 34.03/34.28 (step @p606 :rule trans :premises (@p605 @p603)) % 34.03/34.28 (step @p607 :rule aci_norm :args ((= (or @t102 (or @t377 @t71)) @t412))) % 34.03/34.28 (step @p608 :rule bool-impl-elim :args (@t31 @t71)) % 34.03/34.28 (step @p609 :rule nary_cong :premises (@p250 @p608) :args ((or @t102 @t72))) % 34.03/34.28 (step @p610 :rule trans :premises (@p609 @p607)) % 34.03/34.28 (step @p611 :rule bool-impl-elim :args (@t13 @t72)) % 34.03/34.28 (step @p612 :rule trans :premises (@p611 @p610)) % 34.03/34.28 (step @p613 :rule cong :premises (@p612) :args (@t73)) % 34.03/34.28 (step @p614 :rule trans :premises (@p613 @p606)) % 34.03/34.28 (step @p615 :rule cong :premises (@p317 @p614) :args (@t74)) % 34.03/34.28 (step @p616 :rule cong :premises (@p615) :args (@t75)) % 34.03/34.28 (step @p617 :rule trans :premises (@p616 @p602)) % 34.03/34.28 (step @p618 :rule cong :premises (@p321 @p617) :args (@t76)) % 34.03/34.28 (step @p619 :rule cong :premises (@p618) :args (@t77)) % 34.03/34.28 (step @p620 :rule trans :premises (@p619 @p579)) % 34.03/34.28 (step @p621 :rule cong :premises (@p101 @p620) :args (@t78)) % 34.03/34.28 (step @p622 :rule cong :premises (@p621) :args (@t79)) % 34.03/34.28 (step @p623 :rule trans :premises (@p622 @p562)) % 34.03/34.28 (step @p624 :rule eq_resolve :premises (@p56 @p623)) % 34.03/34.28 (step @p625 :rule instantiate :premises (@p624) :args ((@list @t128 @t128 tptp.nil @t414))) % 34.03/34.28 (step @p626 :rule instantiate :premises (@p499) :args ((@list @t250 @t128))) % 34.03/34.28 (step @p627 :rule bool-double-not-elim :args (@t274)) % 34.03/34.28 (step @p628 :rule nary_cong :premises (@p502 @p627) :args ((or @t278 (not @t275)))) % 34.03/34.28 (step @p629 :rule cnf_or_neg :args (@t278 1)) % 34.03/34.28 (step @p630 :rule eq_resolve :premises (@p629 @p628)) % 34.03/34.28 (step @p631 :rule reordering :premises (@p630) :args ((or @t274 @t278))) % 34.03/34.28 (step @p632 :rule chain_m_resolution :premises (@p631 @p355) :args (@t274 @t288 @t289)) % 34.03/34.28 (step @p633 :rule cnf_or_pos :args (@t417)) % 34.03/34.28 (step @p634 :rule reordering :premises (@p633) :args ((or @t275 @t260 @t416 (not @t417)))) % 34.03/34.28 (step @p635 :rule chain_m_resolution :premises (@p634 @p632 @p462 @p626) :args (@t416 @t342 (@list @t274 @t259 @t417))) % 34.03/34.28 (step @p636 :rule bool-double-not-elim :args (@t255)) % 34.03/34.28 (step @p637 :rule nary_cong :premises (@p457 @p636) :args ((or @t261 (not @t256)))) % 34.03/34.28 (step @p638 :rule cnf_or_neg :args (@t261 2)) % 34.03/34.28 (step @p639 :rule eq_resolve :premises (@p638 @p637)) % 34.03/34.28 (step @p640 :rule reordering :premises (@p639) :args ((or @t255 @t261))) % 34.03/34.28 (step @p641 :rule chain_m_resolution :premises (@p640 @p455) :args (@t255 @t288 @t317)) % 34.03/34.28 (step @p642 :rule cnf_equiv_pos1 :args (@t416)) % 34.03/34.28 (step @p643 :rule reordering :premises (@p642) :args ((or @t256 @t415 (not @t416)))) % 34.03/34.28 (step @p644 :rule chain_m_resolution :premises (@p643 @p641 @p635) :args (@t415 @t313 (@list @t255 @t416))) % 34.03/34.28 (step @p645 :rule refl :args (@t424)) % 34.03/34.28 (step @p646 :rule bool-double-not-elim :args (@t413)) % 34.03/34.28 (step @p647 :rule nary_cong :premises (@p646 @p645) :args ((or (not @t415) @t424))) % 34.03/34.28 (assume-push @p784 @t415) % 34.03/34.28 (step @p649 :rule skolemize :premises (@p784)) % 34.03/34.28 (step-pop @p785 :rule scope :premises (@p649)) % 34.03/34.28 (step @p650 :rule process_scope :premises (@p785) :args (@t424)) % 34.03/34.28 (step @p652 :rule implies_elim :premises (@p650)) % 34.03/34.28 (step @p653 :rule eq_resolve :premises (@p652 @p647)) % 34.03/34.28 (step @p654 :rule chain_m_resolution :premises (@p653 @p644) :args (@t424 @t288 (@list @t413))) % 34.03/34.28 (step @p655 :rule bool-double-not-elim :args (@t421)) % 34.03/34.28 (step @p656 :rule refl :args (@t423)) % 34.03/34.28 (step @p657 :rule nary_cong :premises (@p656 @p655) :args ((or @t423 (not @t422)))) % 34.03/34.28 (step @p658 :rule cnf_or_neg :args (@t423 0)) % 34.03/34.28 (step @p659 :rule eq_resolve :premises (@p658 @p657)) % 34.03/34.28 (step @p660 :rule reordering :premises (@p659) :args ((or @t421 @t423))) % 34.03/34.28 (step @p661 :rule chain_m_resolution :premises (@p660 @p654) :args (@t421 @t288 @t425)) % 34.03/34.28 (step @p662 :rule bool-impl-elim :args (@t17 @t69)) % 34.03/34.28 (step @p663 :rule cong :premises (@p662) :args (@t70)) % 34.03/34.28 (step @p664 :rule eq_resolve :premises (@p55 @p663)) % 34.03/34.28 (step @p665 :rule instantiate :premises (@p664) :args (@t129)) % 34.03/34.28 (step @p666 :rule cnf_or_pos :args (@t427)) % 34.03/34.28 (step @p667 :rule reordering :premises (@p666) :args ((or @t260 @t426 (not @t427)))) % 34.03/34.28 (step @p668 :rule chain_m_resolution :premises (@p667 @p462 @p665) :args (@t426 @t313 (@list @t259 @t427))) % 34.03/34.28 (step @p669 :rule cnf_or_pos :args (@t430)) % 34.03/34.28 (step @p670 :rule factoring :premises (@p669)) % 34.03/34.28 (step @p671 :rule reordering :premises (@p670) :args ((or @t307 @t260 @t429 @t422 @t428 (not @t430)))) % 34.03/34.28 (step @p672 :rule chain_m_resolution :premises (@p671 @p17 @p462 @p668 @p661 @p625) :args (@t428 @t431 (@list @t48 @t259 @t426 @t421 @t430))) % 34.03/34.28 (step @p673 :rule bool-double-not-elim :args (@t419)) % 34.03/34.28 (step @p674 :rule nary_cong :premises (@p656 @p673) :args ((or @t423 (not @t420)))) % 34.03/34.28 (step @p675 :rule cnf_or_neg :args (@t423 1)) % 34.03/34.28 (step @p676 :rule eq_resolve :premises (@p675 @p674)) % 34.03/34.28 (step @p677 :rule reordering :premises (@p676) :args ((or @t419 @t423))) % 34.03/34.28 (step @p678 :rule chain_m_resolution :premises (@p677 @p654) :args (@t419 @t288 @t425)) % 34.03/34.28 (assume-push @p786 @t319) % 34.03/34.28 (assume-push @p787 @t419) % 34.03/34.28 (assume-push @p788 @t428) % 34.03/34.28 (assume-push @p789 @t428) % 34.03/34.28 (assume-push @p790 @t319) % 34.03/34.28 (assume-push @p791 @t419) % 34.03/34.28 (step @p685 :rule true_intro :premises (@p788)) % 34.03/34.28 (step @p686 :rule refl :args (@t128)) % 34.03/34.28 (step @p687 :rule refl :args (@t414)) % 34.03/34.28 (step @p688 :rule cong :premises (@p786 @p687) :args (@t418)) % 34.03/34.28 (step @p689 :rule trans :premises (@p787 @p688)) % 34.03/34.28 (step @p690 :rule cong :premises (@p689 @p686) :args (@t354)) % 34.03/34.28 (step @p691 :rule trans :premises (@p690 @p685)) % 34.03/34.28 (step @p692 :rule true_elim :premises (@p691)) % 34.03/34.28 (step-pop @p792 :rule scope :premises (@p692)) % 34.03/34.28 (step-pop @p793 :rule scope :premises (@p792)) % 34.03/34.28 (step-pop @p794 :rule scope :premises (@p793)) % 34.03/34.28 (step @p693 :rule process_scope :premises (@p794) :args (@t354)) % 34.03/34.28 (step @p697 :rule and_intro :premises (@p788 @p786 @p787)) % 34.03/34.28 (step @p698 :rule modus_ponens :premises (@p697 @p693)) % 34.03/34.28 (step-pop @p795 :rule scope :premises (@p698)) % 34.03/34.28 (step-pop @p796 :rule scope :premises (@p795)) % 34.03/34.28 (step-pop @p797 :rule scope :premises (@p796)) % 34.03/34.28 (step @p699 :rule process_scope :premises (@p797) :args (@t354)) % 34.03/34.28 (step @p703 :rule implies_elim :premises (@p699)) % 34.03/34.28 (step @p704 :rule cnf_and_neg :args (@t432)) % 34.03/34.28 (step @p705 :rule resolution :premises (@p704 @p703) :args (true @t432)) % 34.03/34.28 (step @p706 :rule reordering :premises (@p705) :args ((or @t354 @t433 @t420 (not @t428)))) % 34.03/34.28 (step @p707 :rule chain_m_resolution :premises (@p706 @p465 @p678 @p672) :args (@t354 @t342 (@list @t319 @t419 @t428))) % 34.03/34.28 (step @p708 :rule bool-double-not-elim :args (@t257)) % 34.03/34.28 (step @p709 :rule nary_cong :premises (@p457 @p708) :args ((or @t261 (not @t258)))) % 34.03/34.28 (step @p710 :rule cnf_or_neg :args (@t261 1)) % 34.03/34.28 (step @p711 :rule eq_resolve :premises (@p710 @p709)) % 34.03/34.28 (step @p712 :rule reordering :premises (@p711) :args ((or @t257 @t261))) % 34.03/34.28 (step @p713 :rule chain_m_resolution :premises (@p712 @p455) :args (@t257 @t288 @t317)) % 34.03/34.28 (step @p714 :rule cnf_or_pos :args (@t356)) % 34.03/34.28 (step @p715 :rule reordering :premises (@p714) :args ((or @t260 @t258 @t355 @t353 (not @t356)))) % 34.03/34.28 (step @p716 :rule chain_m_resolution :premises (@p715 @p462 @p713 @p707 @p548) :args (@t353 (@list false false false false) (@list @t259 @t257 @t354 @t356))) % 34.03/34.28 (step @p717 :rule instantiate :premises (@p624) :args ((@list @t128 @t128 tptp.nil @t343))) % 34.03/34.28 (step @p718 :rule bool-double-not-elim :args (@t347)) % 34.03/34.28 (step @p719 :rule nary_cong :premises (@p531 @p718) :args ((or @t349 (not @t348)))) % 34.03/34.28 (step @p720 :rule cnf_or_neg :args (@t349 0)) % 34.03/34.28 (step @p721 :rule eq_resolve :premises (@p720 @p719)) % 34.03/34.28 (step @p722 :rule reordering :premises (@p721) :args ((or @t347 @t349))) % 34.03/34.28 (step @p723 :rule chain_m_resolution :premises (@p722 @p529) :args (@t347 @t288 @t351)) % 34.03/34.28 (step @p724 :rule cnf_or_pos :args (@t435)) % 34.03/34.28 (step @p725 :rule factoring :premises (@p724)) % 34.03/34.28 (step @p726 :rule reordering :premises (@p725) :args ((or @t307 @t260 @t429 @t348 @t434 (not @t435)))) % 34.03/34.28 (step @p727 :rule chain_m_resolution :premises (@p726 @p17 @p462 @p668 @p723 @p717) :args (@t434 @t431 (@list @t48 @t259 @t426 @t347 @t435))) % 34.03/34.28 (step @p728 :rule refl :args (@t436)) % 34.03/34.28 (step @p729 :rule refl :args (@t346)) % 34.03/34.28 (step @p730 :rule bool-double-not-elim :args (@t352)) % 34.03/34.28 (step @p731 :rule refl :args (@t433)) % 34.03/34.28 (step @p732 :rule nary_cong :premises (@p731 @p730 @p729 @p728) :args ((or @t433 (not @t353) @t346 @t436))) % 34.03/34.28 (assume-push @p798 @t434) % 34.03/34.28 (assume-push @p799 @t319) % 34.03/34.28 (assume-push @p800 @t345) % 34.03/34.28 (assume-push @p801 @t353) % 34.03/34.28 (step @p737 :rule evaluate :args ((= false true))) % 34.03/34.28 (step @p738 :rule true_intro :premises (@p798)) % 34.03/34.28 (step @p686 :rule refl :args (@t128)) % 34.03/34.28 (step @p739 :rule refl :args (@t343)) % 34.03/34.28 (step @p740 :rule cong :premises (@p799 @p739) :args (@t344)) % 34.03/34.28 (step @p741 :rule trans :premises (@p800 @p740)) % 34.03/34.28 (step @p742 :rule cong :premises (@p741 @p686) :args (@t352)) % 34.03/34.28 (step @p743 :rule false_intro :premises (@p801)) % 34.03/34.28 (step @p744 :rule symm :premises (@p743)) % 34.03/34.28 (step @p745 :rule trans :premises (@p744 @p742 @p738)) % 34.03/34.28 (step @p746 false :rule eq_resolve :premises (@p745 @p737)) % 34.03/34.28 (step-pop @p802 :rule scope :premises (@p746)) % 34.03/34.28 (step-pop @p803 :rule scope :premises (@p802)) % 34.03/34.28 (step-pop @p804 :rule scope :premises (@p803)) % 34.03/34.28 (step-pop @p805 :rule scope :premises (@p804)) % 34.03/34.28 (step @p747 :rule process_scope :premises (@p805) :args (false)) % 34.03/34.28 (assume-push @p806 @t319) % 34.03/34.28 (assume-push @p807 @t353) % 34.03/34.28 (assume-push @p808 @t345) % 34.03/34.28 (assume-push @p809 @t434) % 34.03/34.28 (step @p756 :rule and_intro :premises (@p809 @p806 @p808 @p807)) % 34.03/34.28 (step-pop @p810 :rule scope :premises (@p756)) % 34.03/34.28 (step-pop @p811 :rule scope :premises (@p810)) % 34.03/34.28 (step-pop @p812 :rule scope :premises (@p811)) % 34.03/34.28 (step-pop @p813 :rule scope :premises (@p812)) % 34.03/34.28 (step @p757 :rule process_scope :premises (@p813) :args (@t437)) % 34.03/34.28 (step @p762 :rule implies_elim :premises (@p757)) % 34.03/34.28 (step @p763 :rule resolution :premises (@p762 @p747) :args (true @t437)) % 34.03/34.28 (step @p764 :rule not_and :premises (@p763)) % 34.03/34.28 (step @p765 :rule eq_resolve :premises (@p764 @p732)) % 34.03/34.28 (step @p766 :rule reordering :premises (@p765) :args ((or @t352 @t433 @t346 @t436))) % 34.03/34.28 (step @p767 false :rule chain_m_resolution :premises (@p766 @p727 @p716 @p536 @p465) :args (false (@list false true false false) (@list @t434 @t352 @t345 @t319))) % 34.03/34.28 ) % 34.03/34.28 % SZS output end Proof % 34.03/34.28 % cvc5 exiting %------------------------------------------------------------------------------