%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC070+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 : n010.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 08:57:55 AM UTC 2026 % Result : Theorem 34.34s 34.85s % Output : Proof 34.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC070+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 19:12:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 34.34/34.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.34/34.85 --- Run --no-e-matching --full-saturate-quant at 6... % 34.34/34.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.34/34.85 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.34/34.85 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.34/34.85 % SZS status Theorem % 34.34/34.85 % SZS output start Proof % 34.34/34.85 ( % 34.34/34.85 (declare-sort $$unsorted 0) % 34.34/34.85 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.34/34.85 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.34/34.85 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.34/34.85 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.34/34.85 (declare-const tptp.nil $$unsorted) % 34.34/34.85 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.34/34.85 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.34/34.85 (define @t1 () (@var "V" $$unsorted)) % 34.34/34.85 (define @t2 () (@var "U" $$unsorted)) % 34.34/34.85 (define @t3 () (= @t2 @t1)) % 34.34/34.85 (define @t4 () (not @t3)) % 34.34/34.85 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 34.34/34.85 (define @t6 () (tptp.ssItem @t1)) % 34.34/34.85 (define @t7 () (@list @t1)) % 34.34/34.85 (define @t8 () (tptp.ssItem @t2)) % 34.34/34.85 (define @t9 () (@list @t2)) % 34.34/34.85 (define @t10 () (@var "X" $$unsorted)) % 34.34/34.85 (define @t11 () (tptp.cons @t1 @t10)) % 34.34/34.85 (define @t12 () (@var "W" $$unsorted)) % 34.34/34.85 (define @t13 () (tptp.ssList @t10)) % 34.34/34.85 (define @t14 () (@list @t10)) % 34.34/34.85 (define @t15 () (tptp.ssList @t12)) % 34.34/34.85 (define @t16 () (@list @t12)) % 34.34/34.85 (define @t17 () (tptp.ssList @t2)) % 34.34/34.85 (define @t18 () (tptp.cons @t1 tptp.nil)) % 34.34/34.85 (define @t19 () (tptp.app @t1 @t12)) % 34.34/34.85 (define @t20 () (and @t15 (= @t19 @t2))) % 34.34/34.85 (define @t21 () (exists @t16 @t20)) % 34.34/34.85 (define @t22 () (tptp.frontsegP @t2 @t1)) % 34.34/34.85 (define @t23 () (= @t22 @t21)) % 34.34/34.85 (define @t24 () (tptp.ssList @t1)) % 34.34/34.85 (define @t25 () (=> @t24 @t23)) % 34.34/34.85 (define @t26 () (forall @t7 @t25)) % 34.34/34.85 (define @t27 () (=> @t17 @t26)) % 34.34/34.85 (define @t28 () (forall @t9 @t27)) % 34.34/34.85 (define @t29 () (tptp.app @t12 @t1)) % 34.34/34.85 (define @t30 () (tptp.rearsegP @t2 @t1)) % 34.34/34.85 (define @t31 () (tptp.segmentP @t2 @t1)) % 34.34/34.85 (define @t32 () (tptp.leq @t12 @t1)) % 34.34/34.85 (define @t33 () (tptp.leq @t1 @t12)) % 34.34/34.85 (define @t34 () (@var "Z" $$unsorted)) % 34.34/34.85 (define @t35 () (@var "Y" $$unsorted)) % 34.34/34.85 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 34.34/34.85 (define @t37 () (tptp.ssList @t34)) % 34.34/34.85 (define @t38 () (@list @t34)) % 34.34/34.85 (define @t39 () (tptp.ssList @t35)) % 34.34/34.85 (define @t40 () (@list @t35)) % 34.34/34.85 (define @t41 () (tptp.ssItem @t12)) % 34.34/34.85 (define @t42 () (tptp.lt @t1 @t12)) % 34.34/34.85 (define @t43 () (= @t1 @t12)) % 34.34/34.85 (define @t44 () (tptp.cons @t1 @t2)) % 34.34/34.85 (define @t45 () (tptp.ssList tptp.nil)) % 34.34/34.85 (define @t46 () (= @t1 @t2)) % 34.34/34.85 (define @t47 () (tptp.cons @t12 @t1)) % 34.34/34.85 (define @t48 () (= tptp.nil @t2)) % 34.34/34.85 (define @t49 () (tptp.hd @t2)) % 34.34/34.85 (define @t50 () (not @t48)) % 34.34/34.85 (define @t51 () (tptp.tl @t2)) % 34.34/34.85 (define @t52 () (tptp.app @t2 @t1)) % 34.34/34.85 (define @t53 () (tptp.app @t1 @t2)) % 34.34/34.85 (define @t54 () (tptp.app tptp.nil @t2)) % 34.34/34.85 (define @t55 () (=> @t17 (= @t54 @t2))) % 34.34/34.85 (define @t56 () (forall @t9 @t55)) % 34.34/34.85 (define @t57 () (tptp.leq @t1 @t2)) % 34.34/34.85 (define @t58 () (tptp.leq @t2 @t1)) % 34.34/34.85 (define @t59 () (tptp.geq @t2 @t1)) % 34.34/34.85 (define @t60 () (tptp.lt @t1 @t2)) % 34.34/34.85 (define @t61 () (tptp.lt @t2 @t1)) % 34.34/34.85 (define @t62 () (tptp.lt @t2 @t12)) % 34.34/34.85 (define @t63 () (tptp.gt @t2 @t1)) % 34.34/34.85 (define @t64 () (tptp.memberP @t12 @t2)) % 34.34/34.85 (define @t65 () (tptp.frontsegP @t1 @t12)) % 34.34/34.85 (define @t66 () (tptp.frontsegP @t1 @t2)) % 34.34/34.85 (define @t67 () (tptp.app @t12 @t2)) % 34.34/34.85 (define @t68 () (tptp.segmentP @t2 @t2)) % 34.34/34.85 (define @t69 () (forall @t9 (=> @t17 @t68))) % 34.34/34.85 (define @t70 () (tptp.segmentP (tptp.app @t67 @t10) @t1)) % 34.34/34.85 (define @t71 () (=> @t31 @t70)) % 34.34/34.85 (define @t72 () (forall @t14 (=> @t13 @t71))) % 34.34/34.85 (define @t73 () (=> @t15 @t72)) % 34.34/34.85 (define @t74 () (forall @t16 @t73)) % 34.34/34.85 (define @t75 () (=> @t24 @t74)) % 34.34/34.85 (define @t76 () (forall @t7 @t75)) % 34.34/34.85 (define @t77 () (=> @t17 @t76)) % 34.34/34.85 (define @t78 () (forall @t9 @t77)) % 34.34/34.85 (define @t79 () (tptp.cons @t2 tptp.nil)) % 34.34/34.85 (define @t80 () (tptp.hd @t1)) % 34.34/34.85 (define @t81 () (= tptp.nil @t1)) % 34.34/34.85 (define @t82 () (not @t81)) % 34.34/34.85 (define @t83 () (tptp.cons @t2 @t1)) % 34.34/34.85 (define @t84 () (= @t12 @t2)) % 34.34/34.85 (define @t85 () (and @t81 @t48)) % 34.34/34.85 (define @t86 () (not (tptp.neq @t12 tptp.nil))) % 34.34/34.85 (define @t87 () (or @t86 (not (tptp.frontsegP @t10 @t12)))) % 34.34/34.85 (define @t88 () (not (= tptp.nil @t12))) % 34.34/34.85 (define @t89 () (not (= tptp.nil @t10))) % 34.34/34.85 (define @t90 () (or @t89 @t88)) % 34.34/34.85 (define @t91 () (and @t90 @t87)) % 34.34/34.85 (define @t92 () (tptp.segmentP @t2 @t35)) % 34.34/34.85 (define @t93 () (tptp.segmentP @t1 @t35)) % 34.34/34.85 (define @t94 () (tptp.neq @t35 tptp.nil)) % 34.34/34.85 (define @t95 () (and @t39 @t94 @t93 @t92)) % 34.34/34.85 (define @t96 () (exists @t40 @t95)) % 34.34/34.85 (define @t97 () (not (= @t2 @t12))) % 34.34/34.85 (define @t98 () (not (= @t1 @t10))) % 34.34/34.85 (define @t99 () (or @t98 @t97 @t96 @t85 @t91)) % 34.34/34.85 (define @t100 () (=> @t13 @t99)) % 34.34/34.85 (define @t101 () (forall @t14 @t100)) % 34.34/34.85 (define @t102 () (=> @t15 @t101)) % 34.34/34.85 (define @t103 () (forall @t16 @t102)) % 34.34/34.85 (define @t104 () (=> @t24 @t103)) % 34.34/34.85 (define @t105 () (forall @t7 @t104)) % 34.34/34.85 (define @t106 () (=> @t17 @t105)) % 34.34/34.85 (define @t107 () (forall @t9 @t106)) % 34.34/34.85 (define @t108 () (not @t107)) % 34.34/34.85 (define @t109 () (@var "BOUND_VARIABLE_10986" $$unsorted)) % 34.34/34.85 (define @t110 () (not (tptp.neq @t2 tptp.nil))) % 34.34/34.85 (define @t111 () (or @t110 (not (tptp.frontsegP @t109 @t2)))) % 34.34/34.85 (define @t112 () (= @t2 tptp.nil)) % 34.34/34.85 (define @t113 () (not @t112)) % 34.34/34.85 (define @t114 () (= @t109 tptp.nil)) % 34.34/34.85 (define @t115 () (not @t114)) % 34.34/34.85 (define @t116 () (or @t115 @t113)) % 34.34/34.85 (define @t117 () (and @t116 @t111)) % 34.34/34.85 (define @t118 () (and @t114 @t112)) % 34.34/34.85 (define @t119 () (not @t92)) % 34.34/34.85 (define @t120 () (not @t94)) % 34.34/34.85 (define @t121 () (not @t39)) % 34.34/34.85 (define @t122 () (not (forall @t40 (or @t121 @t120 (not (tptp.segmentP @t109 @t35)) @t119)))) % 34.34/34.85 (define @t123 () (not (tptp.ssList @t109))) % 34.34/34.85 (define @t124 () (not @t17)) % 34.34/34.85 (define @t125 () (or @t124 @t123 @t122 @t118 @t117)) % 34.34/34.85 (define @t126 () (or @t123 @t122 @t118 @t117)) % 34.34/34.85 (define @t127 () (or @t124 @t126)) % 34.34/34.85 (define @t128 () (@list @t2 @t109)) % 34.34/34.85 (define @t129 () (forall @t128 @t127)) % 34.34/34.85 (define @t130 () (@list @t109)) % 34.34/34.85 (define @t131 () (forall @t130 @t127)) % 34.34/34.85 (define @t132 () (forall @t130 @t126)) % 34.34/34.85 (define @t133 () (@list @t1)) % 34.34/34.85 (define @t134 () (or @t124 @t132)) % 34.34/34.85 (define @t135 () (= @t1 tptp.nil)) % 34.34/34.85 (define @t136 () (not @t135)) % 34.34/34.85 (define @t137 () (and (or @t136 @t113) (or @t110 (not @t66)))) % 34.34/34.85 (define @t138 () (and @t135 @t112)) % 34.34/34.85 (define @t139 () (not @t93)) % 34.34/34.85 (define @t140 () (or @t121 @t120 @t139 @t119)) % 34.34/34.85 (define @t141 () (not (forall @t40 @t140))) % 34.34/34.85 (define @t142 () (not @t24)) % 34.34/34.85 (define @t143 () (or @t142 @t141 @t138 @t137)) % 34.34/34.85 (define @t144 () (or @t124 (forall @t7 @t143))) % 34.34/34.85 (define @t145 () (or @t124 @t143)) % 34.34/34.85 (define @t146 () (or @t142 @t141 @t138 @t124 @t137)) % 34.34/34.85 (define @t147 () (or @t141 @t138 @t142 @t124 @t137)) % 34.34/34.85 (define @t148 () (or @t124 @t137)) % 34.34/34.85 (define @t149 () (not (= @t2 @t2))) % 34.34/34.85 (define @t150 () (or @t124 @t149 @t137)) % 34.34/34.85 (define @t151 () (not (= @t12 tptp.nil))) % 34.34/34.85 (define @t152 () (and (or @t136 @t151) (or @t86 (not @t65)))) % 34.34/34.85 (define @t153 () (not @t15)) % 34.34/34.85 (define @t154 () (or @t97 @t153 @t97 @t152)) % 34.34/34.85 (define @t155 () (or @t153 @t97 @t152)) % 34.34/34.85 (define @t156 () (forall @t16 @t155)) % 34.34/34.85 (define @t157 () (or @t141 @t138 @t142 @t156)) % 34.34/34.85 (define @t158 () (or @t141 @t138 @t142 @t155)) % 34.34/34.85 (define @t159 () (or @t153 @t97 @t141 @t138 @t142 @t152)) % 34.34/34.85 (define @t160 () (or @t97 @t141 @t138 @t142 @t152)) % 34.34/34.85 (define @t161 () (or @t142 @t152)) % 34.34/34.85 (define @t162 () (not (= @t1 @t1))) % 34.34/34.85 (define @t163 () (or @t142 @t162 @t152)) % 34.34/34.85 (define @t164 () (and (or (not (= @t10 tptp.nil)) @t151) @t87)) % 34.34/34.85 (define @t165 () (not @t13)) % 34.34/34.85 (define @t166 () (or @t98 @t165 @t98 @t164)) % 34.34/34.85 (define @t167 () (or @t165 @t98 @t164)) % 34.34/34.85 (define @t168 () (forall @t14 @t167)) % 34.34/34.85 (define @t169 () (or @t97 @t141 @t138 @t168)) % 34.34/34.85 (define @t170 () (or @t97 @t141 @t138 @t167)) % 34.34/34.85 (define @t171 () (or @t165 @t98 @t97 @t141 @t138 @t164)) % 34.34/34.85 (define @t172 () (or @t98 @t97 @t141 @t138 @t164)) % 34.34/34.85 (define @t173 () (forall @t40 (not @t95))) % 34.34/34.85 (define @t174 () (not @t173)) % 34.34/34.85 (define @t175 () (= tptp.nil @t109)) % 34.34/34.85 (define @t176 () (forall @t128 (or @t124 @t123 @t122 (and @t175 @t112) (and (or (not @t175) @t113) @t111)))) % 34.34/34.85 (define @t177 () (@quantifiers_skolemize @t176 0)) % 34.34/34.85 (define @t178 () (@quantifiers_skolemize @t176 1)) % 34.34/34.85 (define @t179 () (tptp.frontsegP @t178 @t177)) % 34.34/34.85 (define @t180 () (not @t179)) % 34.34/34.85 (define @t181 () (tptp.neq @t177 tptp.nil)) % 34.34/34.85 (define @t182 () (not @t181)) % 34.34/34.85 (define @t183 () (or @t182 @t180)) % 34.34/34.85 (define @t184 () (= tptp.nil @t177)) % 34.34/34.85 (define @t185 () (not @t184)) % 34.34/34.85 (define @t186 () (= tptp.nil @t178)) % 34.34/34.85 (define @t187 () (not @t186)) % 34.34/34.85 (define @t188 () (or @t187 @t185)) % 34.34/34.85 (define @t189 () (and @t188 @t183)) % 34.34/34.85 (define @t190 () (and @t186 @t184)) % 34.34/34.85 (define @t191 () (forall @t40 (or @t121 @t120 (not (tptp.segmentP @t178 @t35)) (not (tptp.segmentP @t177 @t35))))) % 34.34/34.85 (define @t192 () (not @t191)) % 34.34/34.85 (define @t193 () (tptp.ssList @t178)) % 34.34/34.85 (define @t194 () (not @t193)) % 34.34/34.85 (define @t195 () (tptp.ssList @t177)) % 34.34/34.85 (define @t196 () (not @t195)) % 34.34/34.85 (define @t197 () (or @t196 @t194 @t192 @t190 @t189)) % 34.34/34.85 (define @t198 () (not @t197)) % 34.34/34.85 (define @t199 () (not @t176)) % 34.34/34.85 (define @t200 () (= @t177 tptp.nil)) % 34.34/34.85 (define @t201 () (not @t200)) % 34.34/34.85 (define @t202 () (or @t187 @t201)) % 34.34/34.85 (define @t203 () (and @t202 @t183)) % 34.34/34.85 (define @t204 () (and @t186 @t200)) % 34.34/34.85 (define @t205 () (or @t196 @t194 @t192 @t204 @t203)) % 34.34/34.85 (define @t206 () (not @t205)) % 34.34/34.85 (define @t207 () (@list true)) % 34.34/34.85 (define @t208 () (@list @t197)) % 34.34/34.85 (define @t209 () (@list @t177)) % 34.34/34.85 (define @t210 () (tptp.segmentP @t177 @t177)) % 34.34/34.85 (define @t211 () (or @t196 @t210)) % 34.34/34.85 (define @t212 () (@list false false)) % 34.34/34.85 (define @t213 () (not @t210)) % 34.34/34.85 (define @t214 () (tptp.segmentP @t178 @t177)) % 34.34/34.85 (define @t215 () (not @t214)) % 34.34/34.85 (define @t216 () (or @t196 @t182 @t215 @t213)) % 34.34/34.85 (define @t217 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 34.34/34.85 (define @t218 () (= (tptp.frontsegP @t2 @t217) (not (forall @t16 (or @t153 (not (= @t2 (tptp.app @t217 @t12)))))))) % 34.34/34.85 (define @t219 () (not (tptp.ssList @t217))) % 34.34/34.85 (define @t220 () (or @t219 @t218)) % 34.34/34.85 (define @t221 () (or @t124 @t220)) % 34.34/34.85 (define @t222 () (forall (@list @t2 @t217) @t221)) % 34.34/34.85 (define @t223 () (@list @t217)) % 34.34/34.85 (define @t224 () (forall @t223 @t221)) % 34.34/34.85 (define @t225 () (forall @t223 @t220)) % 34.34/34.85 (define @t226 () (or @t124 @t225)) % 34.34/34.85 (define @t227 () (= @t2 @t19)) % 34.34/34.85 (define @t228 () (= @t22 (not (forall @t16 (or @t153 (not @t227)))))) % 34.34/34.85 (define @t229 () (forall @t7 (or @t142 @t228))) % 34.34/34.85 (define @t230 () (and @t15 @t227)) % 34.34/34.85 (define @t231 () (forall @t16 (not @t230))) % 34.34/34.85 (define @t232 () (not @t231)) % 34.34/34.85 (define @t233 () (forall @t16 (or @t153 (not (= @t178 (tptp.app @t177 @t12)))))) % 34.34/34.85 (define @t234 () (not @t233)) % 34.34/34.85 (define @t235 () (= @t179 @t234)) % 34.34/34.85 (define @t236 () (or @t194 @t196 @t235)) % 34.34/34.85 (define @t237 () (@quantifiers_skolemize @t233 0)) % 34.34/34.85 (define @t238 () (= @t178 (tptp.app @t177 @t237))) % 34.34/34.85 (define @t239 () (not @t238)) % 34.34/34.85 (define @t240 () (tptp.ssList @t237)) % 34.34/34.85 (define @t241 () (not @t240)) % 34.34/34.85 (define @t242 () (or @t241 @t239)) % 34.34/34.85 (define @t243 () (not @t242)) % 34.34/34.85 (define @t244 () (@var "BOUND_VARIABLE_10202" $$unsorted)) % 34.34/34.85 (define @t245 () (@var "BOUND_VARIABLE_10206" $$unsorted)) % 34.34/34.85 (define @t246 () (@var "BOUND_VARIABLE_10204" $$unsorted)) % 34.34/34.85 (define @t247 () (tptp.segmentP (tptp.app (tptp.app @t246 @t2) @t245) @t244)) % 34.34/34.85 (define @t248 () (not (tptp.ssList @t245))) % 34.34/34.85 (define @t249 () (not (tptp.ssList @t246))) % 34.34/34.85 (define @t250 () (not (tptp.segmentP @t2 @t244))) % 34.34/34.85 (define @t251 () (not (tptp.ssList @t244))) % 34.34/34.85 (define @t252 () (or @t251 @t250 @t249 @t248 @t247)) % 34.34/34.85 (define @t253 () (or @t124 @t252)) % 34.34/34.85 (define @t254 () (forall (@list @t2 @t244 @t246 @t245) @t253)) % 34.34/34.85 (define @t255 () (@list @t244 @t246 @t245)) % 34.34/34.85 (define @t256 () (forall @t255 @t253)) % 34.34/34.85 (define @t257 () (forall @t255 @t252)) % 34.34/34.85 (define @t258 () (@var "BOUND_VARIABLE_10183" $$unsorted)) % 34.34/34.85 (define @t259 () (@var "BOUND_VARIABLE_10181" $$unsorted)) % 34.34/34.85 (define @t260 () (or @t124 @t257)) % 34.34/34.85 (define @t261 () (tptp.segmentP (tptp.app (tptp.app @t259 @t2) @t258) @t1)) % 34.34/34.85 (define @t262 () (not (tptp.ssList @t258))) % 34.34/34.85 (define @t263 () (not (tptp.ssList @t259))) % 34.34/34.85 (define @t264 () (not @t31)) % 34.34/34.85 (define @t265 () (or @t142 @t264 @t263 @t262 @t261)) % 34.34/34.85 (define @t266 () (@list @t1 @t259 @t258)) % 34.34/34.85 (define @t267 () (forall @t266 @t265)) % 34.34/34.85 (define @t268 () (or @t263 @t262 @t261)) % 34.34/34.85 (define @t269 () (or @t142 @t264 @t268)) % 34.34/34.85 (define @t270 () (forall @t266 @t269)) % 34.34/34.85 (define @t271 () (@list @t259 @t258)) % 34.34/34.85 (define @t272 () (forall @t271 @t269)) % 34.34/34.85 (define @t273 () (forall @t271 @t268)) % 34.34/34.85 (define @t274 () (@var "BOUND_VARIABLE_10164" $$unsorted)) % 34.34/34.85 (define @t275 () (or @t142 @t264 @t273)) % 34.34/34.85 (define @t276 () (tptp.segmentP (tptp.app @t67 @t274) @t1)) % 34.34/34.85 (define @t277 () (not (tptp.ssList @t274))) % 34.34/34.85 (define @t278 () (or @t153 @t277 @t276)) % 34.34/34.85 (define @t279 () (@list @t12 @t274)) % 34.34/34.85 (define @t280 () (forall @t279 @t278)) % 34.34/34.85 (define @t281 () (or @t142 @t264 @t280)) % 34.34/34.85 (define @t282 () (or @t264 @t280)) % 34.34/34.85 (define @t283 () (or @t277 @t276)) % 34.34/34.85 (define @t284 () (or @t153 @t283)) % 34.34/34.85 (define @t285 () (forall @t279 @t284)) % 34.34/34.85 (define @t286 () (@list @t274)) % 34.34/34.85 (define @t287 () (forall @t286 @t284)) % 34.34/34.85 (define @t288 () (forall @t286 @t283)) % 34.34/34.85 (define @t289 () (or @t153 @t288)) % 34.34/34.85 (define @t290 () (or @t165 @t70)) % 34.34/34.85 (define @t291 () (forall @t14 @t290)) % 34.34/34.85 (define @t292 () (or @t153 @t291)) % 34.34/34.85 (define @t293 () (forall @t16 @t292)) % 34.34/34.85 (define @t294 () (or @t264 @t293)) % 34.34/34.85 (define @t295 () (or @t264 @t292)) % 34.34/34.85 (define @t296 () (or @t153 @t264 @t291)) % 34.34/34.85 (define @t297 () (or @t264 @t291)) % 34.34/34.85 (define @t298 () (or @t264 @t290)) % 34.34/34.85 (define @t299 () (or @t165 @t264 @t70)) % 34.34/34.85 (define @t300 () (tptp.app tptp.nil @t177)) % 34.34/34.85 (define @t301 () (tptp.app @t300 @t237)) % 34.34/34.85 (define @t302 () (tptp.segmentP @t301 @t177)) % 34.34/34.85 (define @t303 () (not @t45)) % 34.34/34.85 (define @t304 () (or @t196 @t196 @t213 @t303 @t241 @t302)) % 34.34/34.85 (define @t305 () (= @t2 @t54)) % 34.34/34.85 (define @t306 () (= @t177 @t300)) % 34.34/34.85 (define @t307 () (or @t196 @t306)) % 34.34/34.85 (define @t308 () (not @t302)) % 34.34/34.85 (define @t309 () (not @t306)) % 34.34/34.85 (define @t310 () (and @t306 @t215 @t238)) % 34.34/34.85 (define @t311 () (@list @t188)) % 34.34/34.85 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 34.34/34.85 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 34.34/34.85 (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))))))))))) % 34.34/34.85 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 34.34/34.85 (assume @p5 @t28) % 34.34/34.85 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t30 (exists @t16 (and @t15 (= @t29 @t2))))))))) % 34.34/34.85 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t29 @t10) @t2))))))))))) % 34.34/34.85 (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))))))))))))))))) % 34.34/34.85 (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)))))))))))))))) % 34.34/34.85 (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))))))))))))))))) % 34.34/34.85 (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))))))))))))))) % 34.34/34.85 (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))))))))))))))) % 34.34/34.85 (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)))))))))))))))) % 34.34/34.85 (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))))))))))))) % 34.34/34.85 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t24 @t5))))) % 34.34/34.85 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t44)))))) % 34.34/34.85 (assume @p17 @t45) % 34.34/34.85 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t44 @t2))))))) % 34.34/34.85 (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) @t46))))))))))) % 34.34/34.85 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t24 (exists @t16 (and @t41 (= @t47 @t2))))))))) % 34.34/34.85 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t44))))))) % 34.34/34.85 (assume @p22 (forall @t9 (=> @t17 (=> @t50 (tptp.ssItem @t49))))) % 34.34/34.85 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t44) @t1)))))) % 34.34/34.85 (assume @p24 (forall @t9 (=> @t17 (=> @t50 (tptp.ssList @t51))))) % 34.34/34.85 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t44) @t2)))))) % 34.34/34.85 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (tptp.ssList @t52)))))) % 34.34/34.85 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t53) (tptp.app @t47 @t2))))))))) % 34.34/34.85 (assume @p28 @t56) % 34.34/34.85 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 @t57) @t3)))))) % 34.34/34.85 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t58 @t33) (tptp.leq @t2 @t12))))))))) % 34.34/34.85 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 34.34/34.85 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 @t57)))))) % 34.34/34.85 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (not @t60))))))) % 34.34/34.85 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t42) @t62)))))))) % 34.34/34.85 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t60)))))) % 34.34/34.85 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t64))))))))) % 34.34/34.85 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t64))))))))) % 34.34/34.85 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 34.34/34.85 (assume @p39 (not (tptp.singletonP tptp.nil))) % 34.34/34.85 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t22 @t65) (tptp.frontsegP @t2 @t12))))))))) % 34.34/34.85 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t22 @t66) @t3)))))) % 34.34/34.85 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 34.34/34.85 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t22 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 34.34/34.85 (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)))))))))))) % 34.34/34.85 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 34.34/34.85 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 34.34/34.85 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t30 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 34.34/34.85 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t30 (tptp.rearsegP @t1 @t2)) @t3)))))) % 34.34/34.85 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 34.34/34.85 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t30 (tptp.rearsegP @t67 @t1))))))))) % 34.34/34.85 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 34.34/34.85 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 34.34/34.85 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 34.34/34.85 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 34.34/34.85 (assume @p55 @t69) % 34.34/34.85 (assume @p56 @t78) % 34.34/34.85 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 34.34/34.85 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 34.34/34.85 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t79)))) % 34.34/34.85 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 34.34/34.85 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t79)))) % 34.34/34.85 (assume @p62 (tptp.totalorderP tptp.nil)) % 34.34/34.85 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t79)))) % 34.34/34.85 (assume @p64 (tptp.strictorderP tptp.nil)) % 34.34/34.85 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t79)))) % 34.34/34.85 (assume @p66 (tptp.totalorderedP tptp.nil)) % 34.34/34.85 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t83) (or @t81 (and @t82 (tptp.totalorderedP @t1) (tptp.leq @t2 @t80))))))))) % 34.34/34.85 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t79)))) % 34.34/34.85 (assume @p69 (tptp.strictorderedP tptp.nil)) % 34.34/34.85 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t83) (or @t81 (and @t82 (tptp.strictorderedP @t1) (tptp.lt @t2 @t80))))))))) % 34.34/34.85 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t79)))) % 34.34/34.85 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 34.34/34.85 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t79)))) % 34.34/34.85 (assume @p74 (tptp.equalelemsP tptp.nil)) % 34.34/34.85 (assume @p75 (forall @t9 (=> @t17 (=> @t50 (exists @t7 (and @t6 (= @t49 @t1))))))) % 34.34/34.85 (assume @p76 (forall @t9 (=> @t17 (=> @t50 (exists @t7 (and @t24 (= @t51 @t1))))))) % 34.34/34.85 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t82 @t50 (= @t80 @t49) (= (tptp.tl @t1) @t51)) @t46)))))) % 34.34/34.85 (assume @p78 (forall @t9 (=> @t17 (=> @t50 (= (tptp.cons @t49 @t51) @t2))))) % 34.34/34.85 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t29 @t52) @t84)))))))) % 34.34/34.85 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t19 @t53) @t84)))))))) % 34.34/34.85 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t44 (tptp.app @t18 @t2))))))) % 34.34/34.85 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.app @t52 @t12) (tptp.app @t2 @t19))))))))) % 34.34/34.85 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= (= tptp.nil @t52) @t85)))))) % 34.34/34.85 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 34.34/34.85 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t50 (= (tptp.hd @t52) @t49))))))) % 34.34/34.85 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t50 (= (tptp.tl @t52) (tptp.app @t51 @t1)))))))) % 34.34/34.85 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t59 (tptp.geq @t1 @t2)) @t3)))))) % 34.34/34.85 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t59 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 34.34/34.85 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 34.34/34.85 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 34.34/34.85 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t58 @t42) @t62)))))))) % 34.34/34.85 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (or @t3 @t61))))))) % 34.34/34.85 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 (and @t4 @t58))))))) % 34.34/34.85 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t63 (not (tptp.gt @t1 @t2)))))))) % 34.34/34.85 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t63 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 34.34/34.85 (assume @p96 @t108) % 34.34/34.85 (assume @p97 true) % 34.34/34.85 (step @p98 :rule refl :args (@t111)) % 34.34/34.85 (step @p99 :rule refl :args (@t113)) % 34.34/34.85 (step @p100 :rule eq-symm :args (@t109 tptp.nil)) % 34.34/34.85 (step @p101 :rule cong :premises (@p100) :args (@t115)) % 34.34/34.85 (step @p102 :rule nary_cong :premises (@p101 @p99) :args (@t116)) % 34.34/34.85 (step @p103 :rule nary_cong :premises (@p102 @p98) :args (@t117)) % 34.34/34.85 (step @p104 :rule refl :args (@t112)) % 34.34/34.85 (step @p105 :rule nary_cong :premises (@p100 @p104) :args (@t118)) % 34.34/34.85 (step @p106 :rule refl :args (@t122)) % 34.34/34.85 (step @p107 :rule refl :args (@t123)) % 34.34/34.85 (step @p108 :rule refl :args (@t124)) % 34.34/34.85 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p103) :args (@t125)) % 34.34/34.85 (step @p110 :rule aci_norm :args ((= @t127 @t125))) % 34.34/34.85 (step @p111 :rule trans :premises (@p110 @p109)) % 34.34/34.85 (step @p112 :rule cong :premises (@p111) :args (@t129)) % 34.34/34.85 (step @p113 :rule quant-merge-prenex :args ((= (forall @t9 @t131) @t129))) % 34.34/34.85 (step @p114 :rule alpha_equiv :args (@t132 (@list @t109) @t133)) % 34.34/34.85 (step @p115 :rule refl :args (@t124)) % 34.34/34.85 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t134)) % 34.34/34.85 (step @p117 :rule quant-miniscope-or :args ((= @t131 @t134))) % 34.34/34.85 (step @p118 :rule trans :premises (@p117 @p116)) % 34.34/34.85 (step @p119 :rule symm :premises (@p118)) % 34.34/34.85 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 @t144))) % 34.34/34.85 (step @p121 :rule trans :premises (@p120 @p113)) % 34.34/34.85 (step @p122 :rule trans :premises (@p121 @p112)) % 34.34/34.85 (step @p123 :rule aci_norm :args ((= (or @t124 @t144) @t144))) % 34.34/34.85 (step @p124 :rule bool-impl-elim :args (@t17 @t144)) % 34.34/34.85 (step @p125 :rule trans :premises (@p124 @p123)) % 34.34/34.85 (step @p126 :rule cong :premises (@p125) :args ((forall @t9 (=> @t17 @t144)))) % 34.34/34.85 (step @p127 :rule trans :premises (@p126 @p122)) % 34.34/34.85 (step @p128 :rule quant-miniscope-or :args ((= (forall @t7 @t145) @t144))) % 34.34/34.85 (step @p129 :rule aci_norm :args ((= @t146 @t145))) % 34.34/34.85 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 @t146))) % 34.34/34.85 (step @p131 :rule trans :premises (@p130 @p128)) % 34.34/34.85 (step @p132 :rule aci_norm :args ((= (or @t142 @t147) @t146))) % 34.34/34.85 (step @p133 :rule bool-impl-elim :args (@t24 @t147)) % 34.34/34.85 (step @p134 :rule trans :premises (@p133 @p132)) % 34.34/34.85 (step @p135 :rule cong :premises (@p134) :args ((forall @t7 (=> @t24 @t147)))) % 34.34/34.85 (step @p136 :rule trans :premises (@p135 @p131)) % 34.34/34.85 (step @p137 :rule aci_norm :args ((= (or @t141 @t138 @t142 @t148) @t147))) % 34.34/34.85 (step @p138 :rule aci_norm :args ((= (or @t124 false @t137) @t148))) % 34.34/34.85 (step @p139 :rule refl :args (@t137)) % 34.34/34.85 (step @p140 :rule evaluate :args ((not true))) % 34.34/34.85 (step @p141 :rule eq-refl :args (@t2)) % 34.34/34.85 (step @p142 :rule cong :premises (@p141) :args (@t149)) % 34.34/34.85 (step @p143 :rule trans :premises (@p142 @p140)) % 34.34/34.85 (step @p144 :rule nary_cong :premises (@p108 @p143 @p139) :args (@t150)) % 34.34/34.85 (step @p145 :rule trans :premises (@p144 @p138)) % 34.34/34.85 (step @p146 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t84) @t153 @t97 @t152)) @t150))) % 34.34/34.85 (step @p147 :rule refl :args (@t152)) % 34.34/34.85 (step @p148 :rule refl :args (@t97)) % 34.34/34.85 (step @p149 :rule refl :args (@t153)) % 34.34/34.85 (step @p150 :rule eq-symm :args (@t2 @t12)) % 34.34/34.85 (step @p151 :rule cong :premises (@p150) :args (@t97)) % 34.34/34.85 (step @p152 :rule nary_cong :premises (@p151 @p149 @p148 @p147) :args (@t154)) % 34.34/34.85 (step @p153 :rule aci_norm :args ((= @t155 @t154))) % 34.34/34.85 (step @p154 :rule trans :premises (@p153 @p152)) % 34.34/34.85 (step @p155 :rule cong :premises (@p154) :args (@t156)) % 34.34/34.85 (step @p156 :rule trans :premises (@p155 @p146)) % 34.34/34.85 (step @p157 :rule trans :premises (@p156 @p145)) % 34.34/34.85 (step @p158 :rule refl :args (@t142)) % 34.34/34.85 (step @p159 :rule refl :args (@t138)) % 34.34/34.85 (step @p160 :rule refl :args (@t141)) % 34.34/34.85 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157) :args (@t157)) % 34.34/34.85 (step @p162 :rule trans :premises (@p161 @p137)) % 34.34/34.85 (step @p163 :rule quant-miniscope-or :args ((= (forall @t16 @t158) @t157))) % 34.34/34.85 (step @p164 :rule aci_norm :args ((= @t159 @t158))) % 34.34/34.85 (step @p165 :rule cong :premises (@p164) :args ((forall @t16 @t159))) % 34.34/34.85 (step @p166 :rule trans :premises (@p165 @p163)) % 34.34/34.85 (step @p167 :rule trans :premises (@p166 @p162)) % 34.34/34.85 (step @p168 :rule aci_norm :args ((= (or @t153 @t160) @t159))) % 34.34/34.85 (step @p169 :rule bool-impl-elim :args (@t15 @t160)) % 34.34/34.85 (step @p170 :rule trans :premises (@p169 @p168)) % 34.34/34.85 (step @p171 :rule cong :premises (@p170) :args ((forall @t16 (=> @t15 @t160)))) % 34.34/34.85 (step @p172 :rule trans :premises (@p171 @p167)) % 34.34/34.85 (step @p173 :rule aci_norm :args ((= (or @t97 @t141 @t138 @t161) @t160))) % 34.34/34.85 (step @p174 :rule aci_norm :args ((= (or @t142 false @t152) @t161))) % 34.34/34.85 (step @p175 :rule refl :args (@t152)) % 34.34/34.85 (step @p176 :rule eq-refl :args (@t1)) % 34.34/34.85 (step @p177 :rule cong :premises (@p176) :args (@t162)) % 34.34/34.85 (step @p178 :rule trans :premises (@p177 @p140)) % 34.34/34.85 (step @p179 :rule nary_cong :premises (@p158 @p178 @p175) :args (@t163)) % 34.34/34.85 (step @p180 :rule trans :premises (@p179 @p174)) % 34.34/34.85 (step @p181 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t165 @t98 @t164)) @t163))) % 34.34/34.85 (step @p182 :rule refl :args (@t164)) % 34.34/34.85 (step @p183 :rule refl :args (@t98)) % 34.34/34.85 (step @p184 :rule refl :args (@t165)) % 34.34/34.85 (step @p185 :rule eq-symm :args (@t1 @t10)) % 34.34/34.85 (step @p186 :rule cong :premises (@p185) :args (@t98)) % 34.34/34.85 (step @p187 :rule nary_cong :premises (@p186 @p184 @p183 @p182) :args (@t166)) % 34.34/34.85 (step @p188 :rule aci_norm :args ((= @t167 @t166))) % 34.34/34.85 (step @p189 :rule trans :premises (@p188 @p187)) % 34.34/34.85 (step @p190 :rule cong :premises (@p189) :args (@t168)) % 34.34/34.85 (step @p191 :rule trans :premises (@p190 @p181)) % 34.34/34.85 (step @p192 :rule trans :premises (@p191 @p180)) % 34.34/34.85 (step @p193 :rule refl :args (@t97)) % 34.34/34.85 (step @p194 :rule nary_cong :premises (@p193 @p160 @p159 @p192) :args (@t169)) % 34.34/34.85 (step @p195 :rule trans :premises (@p194 @p173)) % 34.34/34.85 (step @p196 :rule quant-miniscope-or :args ((= (forall @t14 @t170) @t169))) % 34.34/34.85 (step @p197 :rule aci_norm :args ((= @t171 @t170))) % 34.34/34.85 (step @p198 :rule cong :premises (@p197) :args ((forall @t14 @t171))) % 34.34/34.85 (step @p199 :rule trans :premises (@p198 @p196)) % 34.34/34.85 (step @p200 :rule trans :premises (@p199 @p195)) % 34.34/34.85 (step @p201 :rule aci_norm :args ((= (or @t165 @t172) @t171))) % 34.34/34.85 (step @p202 :rule bool-impl-elim :args (@t13 @t172)) % 34.34/34.85 (step @p203 :rule trans :premises (@p202 @p201)) % 34.34/34.85 (step @p204 :rule cong :premises (@p203) :args ((forall @t14 (=> @t13 @t172)))) % 34.34/34.85 (step @p205 :rule trans :premises (@p204 @p200)) % 34.34/34.85 (step @p206 :rule refl :args (@t87)) % 34.34/34.85 (step @p207 :rule eq-symm :args (tptp.nil @t12)) % 34.34/34.85 (step @p208 :rule cong :premises (@p207) :args (@t88)) % 34.34/34.85 (step @p209 :rule eq-symm :args (tptp.nil @t10)) % 34.34/34.85 (step @p210 :rule cong :premises (@p209) :args (@t89)) % 34.34/34.85 (step @p211 :rule nary_cong :premises (@p210 @p208) :args (@t90)) % 34.34/34.85 (step @p212 :rule nary_cong :premises (@p211 @p206) :args (@t91)) % 34.34/34.85 (step @p213 :rule eq-symm :args (tptp.nil @t2)) % 34.34/34.85 (step @p214 :rule eq-symm :args (tptp.nil @t1)) % 34.34/34.85 (step @p215 :rule nary_cong :premises (@p214 @p213) :args (@t85)) % 34.34/34.85 (step @p216 :rule aci_norm :args ((= (or @t121 (or @t120 (or @t139 @t119))) @t140))) % 34.34/34.85 (step @p217 :rule bool-and-de-morgan :args (@t93 @t92 true)) % 34.34/34.85 (step @p218 :rule refl :args (@t120)) % 34.34/34.85 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t120 (not (and @t93 @t92))))) % 34.34/34.85 (step @p220 :rule bool-and-de-morgan :args (@t94 @t93 (and @t92))) % 34.34/34.85 (step @p221 :rule trans :premises (@p220 @p219)) % 34.34/34.85 (step @p222 :rule refl :args (@t121)) % 34.34/34.85 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or @t121 (not (and @t94 @t93 @t92))))) % 34.34/34.85 (step @p224 :rule bool-and-de-morgan :args (@t39 @t94 (and @t93 @t92))) % 34.34/34.85 (step @p225 :rule trans :premises (@p224 @p223)) % 34.34/34.85 (step @p226 :rule trans :premises (@p225 @p216)) % 34.34/34.85 (step @p227 :rule cong :premises (@p226) :args (@t173)) % 34.34/34.85 (step @p228 :rule cong :premises (@p227) :args (@t174)) % 34.34/34.85 (step @p229 :rule exists-elim :args ((= @t96 @t174))) % 34.34/34.85 (step @p230 :rule trans :premises (@p229 @p228)) % 34.34/34.85 (step @p231 :rule refl :args (@t98)) % 34.34/34.85 (step @p232 :rule nary_cong :premises (@p231 @p193 @p230 @p215 @p212) :args (@t99)) % 34.34/34.85 (step @p233 :rule refl :args (@t13)) % 34.34/34.85 (step @p234 :rule cong :premises (@p233 @p232) :args (@t100)) % 34.34/34.85 (step @p235 :rule cong :premises (@p234) :args (@t101)) % 34.34/34.85 (step @p236 :rule trans :premises (@p235 @p205)) % 34.34/34.85 (step @p237 :rule refl :args (@t15)) % 34.34/34.85 (step @p238 :rule cong :premises (@p237 @p236) :args (@t102)) % 34.34/34.85 (step @p239 :rule cong :premises (@p238) :args (@t103)) % 34.34/34.85 (step @p240 :rule trans :premises (@p239 @p172)) % 34.34/34.85 (step @p241 :rule refl :args (@t24)) % 34.34/34.85 (step @p242 :rule cong :premises (@p241 @p240) :args (@t104)) % 34.34/34.85 (step @p243 :rule cong :premises (@p242) :args (@t105)) % 34.34/34.85 (step @p244 :rule trans :premises (@p243 @p136)) % 34.34/34.85 (step @p245 :rule refl :args (@t17)) % 34.34/34.85 (step @p246 :rule cong :premises (@p245 @p244) :args (@t106)) % 34.34/34.85 (step @p247 :rule cong :premises (@p246) :args (@t107)) % 34.34/34.85 (step @p248 :rule trans :premises (@p247 @p127)) % 34.34/34.85 (step @p249 :rule cong :premises (@p248) :args (@t108)) % 34.34/34.85 (step @p250 :rule eq_resolve :premises (@p96 @p249)) % 34.34/34.85 (step @p251 :rule refl :args (@t198)) % 34.34/34.85 (step @p252 :rule bool-double-not-elim :args (@t176)) % 34.34/34.85 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or (not @t199) @t198))) % 34.34/34.85 (step @p254 :rule refl :args (@t183)) % 34.34/34.85 (step @p255 :rule eq-symm :args (@t177 tptp.nil)) % 34.34/34.85 (step @p256 :rule cong :premises (@p255) :args (@t201)) % 34.34/34.85 (step @p257 :rule refl :args (@t187)) % 34.34/34.85 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t202)) % 34.34/34.85 (step @p259 :rule nary_cong :premises (@p258 @p254) :args (@t203)) % 34.34/34.85 (step @p260 :rule refl :args (@t186)) % 34.34/34.85 (step @p261 :rule nary_cong :premises (@p260 @p255) :args (@t204)) % 34.34/34.85 (step @p262 :rule refl :args (@t192)) % 34.34/34.85 (step @p263 :rule refl :args (@t194)) % 34.34/34.85 (step @p264 :rule refl :args (@t196)) % 34.34/34.85 (step @p265 :rule nary_cong :premises (@p264 @p263 @p262 @p261 @p259) :args (@t205)) % 34.34/34.85 (step @p266 :rule cong :premises (@p265) :args (@t206)) % 34.34/34.85 (step @p267 :rule refl :args (@t199)) % 34.34/34.85 (step @p268 :rule cong :premises (@p267 @p266) :args ((=> @t199 @t206))) % 34.34/34.85 (assume-push @p527 @t199) % 34.34/34.85 (step @p270 :rule skolemize :premises (@p250)) % 34.34/34.85 (step-pop @p528 :rule scope :premises (@p270)) % 34.34/34.85 (step @p271 :rule process_scope :premises (@p528) :args (@t206)) % 34.34/34.85 (step @p273 :rule eq_resolve :premises (@p271 @p268)) % 34.34/34.85 (step @p274 :rule implies_elim :premises (@p273)) % 34.34/34.85 (step @p275 :rule eq_resolve :premises (@p274 @p253)) % 34.34/34.85 (step @p276 :rule chain_m_resolution :premises (@p275 @p250) :args (@t198 @t207 (@list @t176))) % 34.34/34.85 (step @p277 :rule cnf_or_neg :args (@t197 3)) % 34.34/34.85 (step @p278 :rule chain_m_resolution :premises (@p277 @p276) :args ((not @t190) @t207 @t208)) % 34.34/34.85 (step @p279 :rule bool-double-not-elim :args (@t181)) % 34.34/34.85 (step @p280 :rule nary_cong :premises (@p254 @p279) :args ((or @t183 (not @t182)))) % 34.34/34.85 (step @p281 :rule cnf_or_neg :args (@t183 0)) % 34.34/34.85 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 34.34/34.85 (step @p283 :rule reordering :premises (@p282) :args ((or @t181 @t183))) % 34.34/34.85 (step @p284 :rule bool-double-not-elim :args (@t179)) % 34.34/34.85 (step @p285 :rule nary_cong :premises (@p254 @p284) :args ((or @t183 (not @t180)))) % 34.34/34.85 (step @p286 :rule cnf_or_neg :args (@t183 1)) % 34.34/34.85 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 34.34/34.85 (step @p288 :rule reordering :premises (@p287) :args ((or @t179 @t183))) % 34.34/34.85 (step @p289 :rule bool-double-not-elim :args (@t195)) % 34.34/34.85 (step @p290 :rule refl :args (@t197)) % 34.34/34.85 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t197 (not @t196)))) % 34.34/34.85 (step @p292 :rule cnf_or_neg :args (@t197 0)) % 34.34/34.85 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 34.34/34.85 (step @p294 :rule reordering :premises (@p293) :args ((or @t195 @t197))) % 34.34/34.85 (step @p295 :rule chain_m_resolution :premises (@p294 @p276) :args (@t195 @t207 @t208)) % 34.34/34.85 (step @p296 :rule bool-impl-elim :args (@t17 @t68)) % 34.34/34.85 (step @p297 :rule cong :premises (@p296) :args (@t69)) % 34.34/34.85 (step @p298 :rule eq_resolve :premises (@p55 @p297)) % 34.34/34.85 (step @p299 :rule instantiate :premises (@p298) :args (@t209)) % 34.34/34.85 (step @p300 :rule cnf_or_pos :args (@t211)) % 34.34/34.85 (step @p301 :rule reordering :premises (@p300) :args ((or @t196 @t210 (not @t211)))) % 34.34/34.85 (step @p302 :rule chain_m_resolution :premises (@p301 @p295 @p299) :args (@t210 @t212 (@list @t195 @t211))) % 34.34/34.85 (step @p303 :rule bool-double-not-elim :args (@t191)) % 34.34/34.85 (step @p304 :rule nary_cong :premises (@p290 @p303) :args ((or @t197 (not @t192)))) % 34.34/34.85 (step @p305 :rule cnf_or_neg :args (@t197 2)) % 34.34/34.85 (step @p306 :rule eq_resolve :premises (@p305 @p304)) % 34.34/34.85 (step @p307 :rule reordering :premises (@p306) :args ((or @t191 @t197))) % 34.34/34.85 (step @p308 :rule chain_m_resolution :premises (@p307 @p276) :args (@t191 @t207 @t208)) % 34.34/34.85 (step @p309 :rule instantiate :premises (@p308) :args (@t209)) % 34.34/34.85 (step @p310 :rule cnf_or_pos :args (@t216)) % 34.34/34.85 (step @p311 :rule reordering :premises (@p310) :args ((or @t196 @t182 @t213 @t215 (not @t216)))) % 34.34/34.85 (step @p312 :rule aci_norm :args ((= @t221 (or @t124 @t219 @t218)))) % 34.34/34.85 (step @p313 :rule cong :premises (@p312) :args (@t222)) % 34.34/34.85 (step @p314 :rule quant-merge-prenex :args ((= (forall @t9 @t224) @t222))) % 34.34/34.85 (step @p315 :rule alpha_equiv :args (@t225 (@list @t217) @t133)) % 34.34/34.85 (step @p316 :rule nary_cong :premises (@p115 @p315) :args (@t226)) % 34.34/34.85 (step @p317 :rule quant-miniscope-or :args ((= @t224 @t226))) % 34.34/34.85 (step @p318 :rule trans :premises (@p317 @p316)) % 34.34/34.85 (step @p319 :rule symm :premises (@p318)) % 34.34/34.85 (step @p320 :rule cong :premises (@p319) :args ((forall @t9 (or @t124 @t229)))) % 34.34/34.85 (step @p321 :rule trans :premises (@p320 @p314)) % 34.34/34.85 (step @p322 :rule trans :premises (@p321 @p313)) % 34.34/34.85 (step @p323 :rule bool-impl-elim :args (@t17 @t229)) % 34.34/34.85 (step @p324 :rule cong :premises (@p323) :args ((forall @t9 (=> @t17 @t229)))) % 34.34/34.85 (step @p325 :rule trans :premises (@p324 @p322)) % 34.34/34.85 (step @p326 :rule bool-impl-elim :args (@t24 @t228)) % 34.34/34.85 (step @p327 :rule cong :premises (@p326) :args ((forall @t7 (=> @t24 @t228)))) % 34.34/34.85 (step @p328 :rule bool-and-de-morgan :args (@t15 @t227 true)) % 34.34/34.85 (step @p329 :rule cong :premises (@p328) :args (@t231)) % 34.34/34.85 (step @p330 :rule cong :premises (@p329) :args (@t232)) % 34.34/34.85 (step @p331 :rule exists-elim :args ((= (exists @t16 @t230) @t232))) % 34.34/34.85 (step @p332 :rule trans :premises (@p331 @p330)) % 34.34/34.85 (step @p333 :rule eq-symm :args (@t19 @t2)) % 34.34/34.85 (step @p334 :rule nary_cong :premises (@p237 @p333) :args (@t20)) % 34.34/34.85 (step @p335 :rule cong :premises (@p334) :args (@t21)) % 34.34/34.85 (step @p336 :rule trans :premises (@p335 @p332)) % 34.34/34.85 (step @p337 :rule refl :args (@t22)) % 34.34/34.85 (step @p338 :rule cong :premises (@p337 @p336) :args (@t23)) % 34.34/34.85 (step @p339 :rule cong :premises (@p241 @p338) :args (@t25)) % 34.34/34.85 (step @p340 :rule cong :premises (@p339) :args (@t26)) % 34.34/34.85 (step @p341 :rule trans :premises (@p340 @p327)) % 34.34/34.85 (step @p342 :rule cong :premises (@p245 @p341) :args (@t27)) % 34.34/34.85 (step @p343 :rule cong :premises (@p342) :args (@t28)) % 34.34/34.85 (step @p344 :rule trans :premises (@p343 @p325)) % 34.34/34.85 (step @p345 :rule eq_resolve :premises (@p5 @p344)) % 34.34/34.85 (step @p346 :rule instantiate :premises (@p345) :args ((@list @t178 @t177))) % 34.34/34.85 (step @p347 :rule bool-double-not-elim :args (@t193)) % 34.34/34.85 (step @p348 :rule nary_cong :premises (@p290 @p347) :args ((or @t197 (not @t194)))) % 34.34/34.85 (step @p349 :rule cnf_or_neg :args (@t197 1)) % 34.34/34.85 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 34.34/34.85 (step @p351 :rule reordering :premises (@p350) :args ((or @t193 @t197))) % 34.34/34.85 (step @p352 :rule chain_m_resolution :premises (@p351 @p276) :args (@t193 @t207 @t208)) % 34.34/34.85 (step @p353 :rule cnf_or_pos :args (@t236)) % 34.34/34.85 (step @p354 :rule reordering :premises (@p353) :args ((or @t196 @t194 @t235 (not @t236)))) % 34.34/34.85 (step @p355 :rule chain_m_resolution :premises (@p354 @p295 @p352 @p346) :args (@t235 (@list false false false) (@list @t195 @t193 @t236))) % 34.34/34.85 (step @p356 :rule cnf_equiv_pos1 :args (@t235)) % 34.34/34.85 (step @p357 :rule reordering :premises (@p356) :args ((or @t180 @t234 (not @t235)))) % 34.34/34.85 (step @p358 :rule refl :args (@t243)) % 34.34/34.85 (step @p359 :rule bool-double-not-elim :args (@t233)) % 34.34/34.85 (step @p360 :rule nary_cong :premises (@p359 @p358) :args ((or (not @t234) @t243))) % 34.34/34.85 (assume-push @p529 @t234) % 34.34/34.85 (step @p362 :rule skolemize :premises (@p529)) % 34.34/34.85 (step-pop @p530 :rule scope :premises (@p362)) % 34.34/34.85 (step @p363 :rule process_scope :premises (@p530) :args (@t243)) % 34.34/34.85 (step @p365 :rule implies_elim :premises (@p363)) % 34.34/34.85 (step @p366 :rule eq_resolve :premises (@p365 @p360)) % 34.34/34.85 (step @p367 :rule bool-double-not-elim :args (@t240)) % 34.34/34.85 (step @p368 :rule refl :args (@t242)) % 34.34/34.85 (step @p369 :rule nary_cong :premises (@p368 @p367) :args ((or @t242 (not @t241)))) % 34.34/34.85 (step @p370 :rule cnf_or_neg :args (@t242 0)) % 34.34/34.85 (step @p371 :rule eq_resolve :premises (@p370 @p369)) % 34.34/34.85 (step @p372 :rule reordering :premises (@p371) :args ((or @t240 @t242))) % 34.34/34.85 (step @p373 :rule bool-double-not-elim :args (@t238)) % 34.34/34.85 (step @p374 :rule nary_cong :premises (@p368 @p373) :args ((or @t242 (not @t239)))) % 34.34/34.85 (step @p375 :rule cnf_or_neg :args (@t242 1)) % 34.34/34.85 (step @p376 :rule eq_resolve :premises (@p375 @p374)) % 34.34/34.85 (step @p377 :rule reordering :premises (@p376) :args ((or @t238 @t242))) % 34.34/34.85 (step @p378 :rule aci_norm :args ((= @t253 (or @t124 @t251 @t250 @t249 @t248 @t247)))) % 34.34/34.85 (step @p379 :rule cong :premises (@p378) :args (@t254)) % 34.34/34.85 (step @p380 :rule quant-merge-prenex :args ((= (forall @t9 @t256) @t254))) % 34.34/34.85 (step @p381 :rule alpha_equiv :args (@t257 (@list @t244 @t246 @t245) (@list @t1 @t259 @t258))) % 34.34/34.85 (step @p382 :rule nary_cong :premises (@p115 @p381) :args (@t260)) % 34.34/34.85 (step @p383 :rule quant-miniscope-or :args ((= @t256 @t260))) % 34.34/34.85 (step @p384 :rule trans :premises (@p383 @p382)) % 34.34/34.85 (step @p385 :rule symm :premises (@p384)) % 34.34/34.85 (step @p386 :rule cong :premises (@p385) :args ((forall @t9 (or @t124 @t267)))) % 34.34/34.85 (step @p387 :rule trans :premises (@p386 @p380)) % 34.34/34.85 (step @p388 :rule trans :premises (@p387 @p379)) % 34.34/34.85 (step @p389 :rule bool-impl-elim :args (@t17 @t267)) % 34.34/34.85 (step @p390 :rule cong :premises (@p389) :args ((forall @t9 (=> @t17 @t267)))) % 34.34/34.85 (step @p391 :rule trans :premises (@p390 @p388)) % 34.34/34.85 (step @p392 :rule aci_norm :args ((= @t269 @t265))) % 34.34/34.85 (step @p393 :rule cong :premises (@p392) :args (@t270)) % 34.34/34.85 (step @p394 :rule quant-merge-prenex :args ((= (forall @t7 @t272) @t270))) % 34.34/34.85 (step @p395 :rule alpha_equiv :args (@t273 (@list @t259 @t258) (@list @t12 @t274))) % 34.34/34.85 (step @p396 :rule refl :args (@t264)) % 34.34/34.85 (step @p397 :rule refl :args (@t142)) % 34.34/34.85 (step @p398 :rule nary_cong :premises (@p397 @p396 @p395) :args (@t275)) % 34.34/34.85 (step @p399 :rule quant-miniscope-or :args ((= @t272 @t275))) % 34.34/34.85 (step @p400 :rule trans :premises (@p399 @p398)) % 34.34/34.85 (step @p401 :rule symm :premises (@p400)) % 34.34/34.85 (step @p402 :rule cong :premises (@p401) :args ((forall @t7 @t281))) % 34.34/34.85 (step @p403 :rule trans :premises (@p402 @p394)) % 34.34/34.85 (step @p404 :rule trans :premises (@p403 @p393)) % 34.34/34.85 (step @p405 :rule aci_norm :args ((= (or @t142 @t282) @t281))) % 34.34/34.85 (step @p406 :rule bool-impl-elim :args (@t24 @t282)) % 34.34/34.85 (step @p407 :rule trans :premises (@p406 @p405)) % 34.34/34.85 (step @p408 :rule cong :premises (@p407) :args ((forall @t7 (=> @t24 @t282)))) % 34.34/34.85 (step @p409 :rule trans :premises (@p408 @p404)) % 34.34/34.85 (step @p410 :rule aci_norm :args ((= @t284 @t278))) % 34.34/34.85 (step @p411 :rule cong :premises (@p410) :args (@t285)) % 34.34/34.85 (step @p412 :rule quant-merge-prenex :args ((= (forall @t16 @t287) @t285))) % 34.34/34.85 (step @p413 :rule alpha_equiv :args (@t288 (@list @t274) (@list @t10))) % 34.34/34.85 (step @p414 :rule nary_cong :premises (@p149 @p413) :args (@t289)) % 34.34/34.85 (step @p415 :rule quant-miniscope-or :args ((= @t287 @t289))) % 34.34/34.85 (step @p416 :rule trans :premises (@p415 @p414)) % 34.34/34.85 (step @p417 :rule symm :premises (@p416)) % 34.34/34.85 (step @p418 :rule cong :premises (@p417) :args (@t293)) % 34.34/34.85 (step @p419 :rule trans :premises (@p418 @p412)) % 34.34/34.85 (step @p420 :rule trans :premises (@p419 @p411)) % 34.34/34.85 (step @p421 :rule refl :args (@t264)) % 34.34/34.85 (step @p422 :rule nary_cong :premises (@p421 @p420) :args (@t294)) % 34.34/34.85 (step @p423 :rule quant-miniscope-or :args ((= (forall @t16 @t295) @t294))) % 34.34/34.85 (step @p424 :rule aci_norm :args ((= @t296 @t295))) % 34.34/34.85 (step @p425 :rule cong :premises (@p424) :args ((forall @t16 @t296))) % 34.34/34.85 (step @p426 :rule trans :premises (@p425 @p423)) % 34.34/34.85 (step @p427 :rule trans :premises (@p426 @p422)) % 34.34/34.85 (step @p428 :rule aci_norm :args ((= (or @t153 @t297) @t296))) % 34.34/34.85 (step @p429 :rule bool-impl-elim :args (@t15 @t297)) % 34.34/34.85 (step @p430 :rule trans :premises (@p429 @p428)) % 34.34/34.85 (step @p431 :rule cong :premises (@p430) :args ((forall @t16 (=> @t15 @t297)))) % 34.34/34.85 (step @p432 :rule trans :premises (@p431 @p427)) % 34.34/34.85 (step @p433 :rule quant-miniscope-or :args ((= (forall @t14 @t298) @t297))) % 34.34/34.85 (step @p434 :rule aci_norm :args ((= @t299 @t298))) % 34.34/34.85 (step @p435 :rule cong :premises (@p434) :args ((forall @t14 @t299))) % 34.34/34.85 (step @p436 :rule trans :premises (@p435 @p433)) % 34.34/34.85 (step @p437 :rule aci_norm :args ((= (or @t165 (or @t264 @t70)) @t299))) % 34.34/34.85 (step @p438 :rule bool-impl-elim :args (@t31 @t70)) % 34.34/34.85 (step @p439 :rule nary_cong :premises (@p184 @p438) :args ((or @t165 @t71))) % 34.34/34.85 (step @p440 :rule trans :premises (@p439 @p437)) % 34.34/34.85 (step @p441 :rule bool-impl-elim :args (@t13 @t71)) % 34.34/34.85 (step @p442 :rule trans :premises (@p441 @p440)) % 34.34/34.85 (step @p443 :rule cong :premises (@p442) :args (@t72)) % 34.34/34.85 (step @p444 :rule trans :premises (@p443 @p436)) % 34.34/34.85 (step @p445 :rule cong :premises (@p237 @p444) :args (@t73)) % 34.34/34.85 (step @p446 :rule cong :premises (@p445) :args (@t74)) % 34.34/34.85 (step @p447 :rule trans :premises (@p446 @p432)) % 34.34/34.85 (step @p448 :rule cong :premises (@p241 @p447) :args (@t75)) % 34.34/34.85 (step @p449 :rule cong :premises (@p448) :args (@t76)) % 34.34/34.85 (step @p450 :rule trans :premises (@p449 @p409)) % 34.34/34.85 (step @p451 :rule cong :premises (@p245 @p450) :args (@t77)) % 34.34/34.85 (step @p452 :rule cong :premises (@p451) :args (@t78)) % 34.34/34.85 (step @p453 :rule trans :premises (@p452 @p391)) % 34.34/34.85 (step @p454 :rule eq_resolve :premises (@p56 @p453)) % 34.34/34.85 (step @p455 :rule instantiate :premises (@p454) :args ((@list @t177 @t177 tptp.nil @t237))) % 34.34/34.85 (step @p456 :rule cnf_or_pos :args (@t304)) % 34.34/34.85 (step @p457 :rule factoring :premises (@p456)) % 34.34/34.85 (step @p458 :rule reordering :premises (@p457) :args ((or @t303 @t196 @t213 @t241 @t302 (not @t304)))) % 34.34/34.85 (step @p459 :rule bool-impl-elim :args (@t17 @t305)) % 34.34/34.85 (step @p460 :rule cong :premises (@p459) :args ((forall @t9 (=> @t17 @t305)))) % 34.34/34.85 (step @p461 :rule eq-symm :args (@t54 @t2)) % 34.34/34.85 (step @p462 :rule cong :premises (@p245 @p461) :args (@t55)) % 34.34/34.85 (step @p463 :rule cong :premises (@p462) :args (@t56)) % 34.34/34.85 (step @p464 :rule trans :premises (@p463 @p460)) % 34.34/34.85 (step @p465 :rule eq_resolve :premises (@p28 @p464)) % 34.34/34.85 (step @p466 :rule instantiate :premises (@p465) :args (@t209)) % 34.34/34.85 (step @p467 :rule cnf_or_pos :args (@t307)) % 34.34/34.85 (step @p468 :rule reordering :premises (@p467) :args ((or @t196 @t306 (not @t307)))) % 34.34/34.85 (step @p469 :rule chain_m_resolution :premises (@p468 @p295 @p466) :args (@t306 @t212 (@list @t195 @t307))) % 34.34/34.85 (step @p470 :rule refl :args (@t308)) % 34.34/34.85 (step @p471 :rule refl :args (@t239)) % 34.34/34.85 (step @p472 :rule bool-double-not-elim :args (@t214)) % 34.34/34.85 (step @p473 :rule refl :args (@t309)) % 34.34/34.85 (step @p474 :rule nary_cong :premises (@p473 @p472 @p471 @p470) :args ((or @t309 (not @t215) @t239 @t308))) % 34.34/34.85 (assume-push @p531 @t306) % 34.34/34.85 (assume-push @p532 @t215) % 34.34/34.85 (assume-push @p533 @t238) % 34.34/34.85 (assume-push @p534 @t215) % 34.34/34.85 (assume-push @p535 @t238) % 34.34/34.85 (assume-push @p536 @t306) % 34.34/34.85 (step @p481 :rule false_intro :premises (@p532)) % 34.34/34.85 (step @p482 :rule refl :args (@t177)) % 34.34/34.85 (step @p483 :rule symm :premises (@p533)) % 34.34/34.85 (step @p484 :rule refl :args (@t237)) % 34.34/34.85 (step @p485 :rule symm :premises (@p469)) % 34.34/34.85 (step @p486 :rule cong :premises (@p485 @p484) :args (@t301)) % 34.34/34.85 (step @p487 :rule trans :premises (@p486 @p483)) % 34.34/34.85 (step @p488 :rule cong :premises (@p487 @p482) :args (@t302)) % 34.34/34.85 (step @p489 :rule trans :premises (@p488 @p481)) % 34.34/34.85 (step @p490 :rule false_elim :premises (@p489)) % 34.34/34.85 (step-pop @p537 :rule scope :premises (@p490)) % 34.34/34.85 (step-pop @p538 :rule scope :premises (@p537)) % 34.34/34.85 (step-pop @p539 :rule scope :premises (@p538)) % 34.34/34.85 (step @p491 :rule process_scope :premises (@p539) :args (@t308)) % 34.34/34.85 (step @p495 :rule and_intro :premises (@p532 @p533 @p469)) % 34.34/34.85 (step @p496 :rule modus_ponens :premises (@p495 @p491)) % 34.34/34.85 (step-pop @p540 :rule scope :premises (@p496)) % 34.34/34.85 (step-pop @p541 :rule scope :premises (@p540)) % 34.34/34.85 (step-pop @p542 :rule scope :premises (@p541)) % 34.34/34.85 (step @p497 :rule process_scope :premises (@p542) :args (@t308)) % 34.34/34.85 (step @p501 :rule implies_elim :premises (@p497)) % 34.34/34.85 (step @p502 :rule cnf_and_neg :args (@t310)) % 34.34/34.85 (step @p503 :rule resolution :premises (@p502 @p501) :args (true @t310)) % 34.34/34.85 (step @p504 :rule eq_resolve :premises (@p503 @p474)) % 34.34/34.85 (step @p505 :rule reordering :premises (@p504) :args ((or @t214 @t309 @t239 @t308))) % 34.34/34.85 (step @p506 :rule chain_m_resolution :premises (@p505 @p469 @p458 @p455 @p302 @p295 @p17 @p377 @p372 @p366 @p357 @p355 @p311 @p309 @p302 @p295 @p288 @p283) :args (@t183 (@list false false false false false false false false true true false true false false false false false) (@list @t306 @t302 @t304 @t210 @t195 @t45 @t238 @t240 @t242 @t233 @t235 @t214 @t216 @t210 @t195 @t179 @t181))) % 34.34/34.85 (step @p507 :rule cnf_or_neg :args (@t197 4)) % 34.34/34.85 (step @p508 :rule chain_m_resolution :premises (@p507 @p276) :args ((not @t189) @t207 @t208)) % 34.34/34.85 (step @p509 :rule cnf_and_neg :args (@t189)) % 34.34/34.85 (step @p510 :rule chain_m_resolution :premises (@p509 @p508 @p506) :args ((not @t188) (@list true false) (@list @t189 @t183))) % 34.34/34.85 (step @p511 :rule bool-double-not-elim :args (@t186)) % 34.34/34.85 (step @p512 :rule refl :args (@t188)) % 34.34/34.85 (step @p513 :rule nary_cong :premises (@p512 @p511) :args ((or @t188 (not @t187)))) % 34.34/34.85 (step @p514 :rule cnf_or_neg :args (@t188 0)) % 34.34/34.85 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 34.34/34.85 (step @p516 :rule reordering :premises (@p515) :args ((or @t186 @t188))) % 34.34/34.85 (step @p517 :rule chain_m_resolution :premises (@p516 @p510) :args (@t186 @t207 @t311)) % 34.34/34.85 (step @p518 :rule bool-double-not-elim :args (@t184)) % 34.34/34.85 (step @p519 :rule nary_cong :premises (@p512 @p518) :args ((or @t188 (not @t185)))) % 34.34/34.85 (step @p520 :rule cnf_or_neg :args (@t188 1)) % 34.34/34.85 (step @p521 :rule eq_resolve :premises (@p520 @p519)) % 34.34/34.85 (step @p522 :rule reordering :premises (@p521) :args ((or @t184 @t188))) % 34.34/34.85 (step @p523 :rule chain_m_resolution :premises (@p522 @p510) :args (@t184 @t207 @t311)) % 34.34/34.85 (step @p524 :rule cnf_and_neg :args (@t190)) % 34.34/34.85 (step @p525 :rule reordering :premises (@p524) :args ((or @t187 @t190 @t185))) % 34.34/34.85 (step @p526 false :rule chain_m_resolution :premises (@p525 @p523 @p517 @p278) :args (false (@list false false true) (@list @t184 @t186 @t190))) % 34.34/34.85 ) % 34.34/34.85 % SZS output end Proof % 34.34/34.85 % cvc5 exiting %------------------------------------------------------------------------------