%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC080+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 : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:58 AM UTC 2026 % Result : Theorem 33.87s 34.20s % Output : Proof 33.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC080+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:13:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 33.87/34.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.87/34.20 --- Run --no-e-matching --full-saturate-quant at 6... % 33.87/34.20 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.87/34.20 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.87/34.20 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.87/34.20 % SZS status Theorem % 33.87/34.20 % SZS output start Proof % 33.87/34.20 ( % 33.87/34.20 (declare-sort $$unsorted 0) % 33.87/34.20 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 33.87/34.20 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 33.87/34.20 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.20 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.20 (declare-const tptp.nil $$unsorted) % 33.87/34.20 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.ssList (-> $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 33.87/34.20 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 33.87/34.20 (define @t1 () (@var "V" $$unsorted)) % 33.87/34.20 (define @t2 () (@var "U" $$unsorted)) % 33.87/34.20 (define @t3 () (= @t2 @t1)) % 33.87/34.20 (define @t4 () (not @t3)) % 33.87/34.20 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 33.87/34.20 (define @t6 () (tptp.ssItem @t1)) % 33.87/34.20 (define @t7 () (@list @t1)) % 33.87/34.20 (define @t8 () (tptp.ssItem @t2)) % 33.87/34.20 (define @t9 () (@list @t2)) % 33.87/34.20 (define @t10 () (@var "X" $$unsorted)) % 33.87/34.20 (define @t11 () (tptp.cons @t1 @t10)) % 33.87/34.20 (define @t12 () (@var "W" $$unsorted)) % 33.87/34.20 (define @t13 () (tptp.ssList @t10)) % 33.87/34.20 (define @t14 () (@list @t10)) % 33.87/34.20 (define @t15 () (tptp.ssList @t12)) % 33.87/34.20 (define @t16 () (@list @t12)) % 33.87/34.20 (define @t17 () (tptp.ssList @t2)) % 33.87/34.20 (define @t18 () (tptp.cons @t1 tptp.nil)) % 33.87/34.20 (define @t19 () (tptp.app @t1 @t12)) % 33.87/34.20 (define @t20 () (and @t15 (= @t19 @t2))) % 33.87/34.20 (define @t21 () (exists @t16 @t20)) % 33.87/34.20 (define @t22 () (tptp.frontsegP @t2 @t1)) % 33.87/34.20 (define @t23 () (= @t22 @t21)) % 33.87/34.20 (define @t24 () (tptp.ssList @t1)) % 33.87/34.20 (define @t25 () (=> @t24 @t23)) % 33.87/34.20 (define @t26 () (forall @t7 @t25)) % 33.87/34.20 (define @t27 () (=> @t17 @t26)) % 33.87/34.20 (define @t28 () (forall @t9 @t27)) % 33.87/34.20 (define @t29 () (tptp.app @t12 @t1)) % 33.87/34.20 (define @t30 () (tptp.rearsegP @t2 @t1)) % 33.87/34.20 (define @t31 () (tptp.segmentP @t2 @t1)) % 33.87/34.20 (define @t32 () (tptp.leq @t12 @t1)) % 33.87/34.20 (define @t33 () (tptp.leq @t1 @t12)) % 33.87/34.20 (define @t34 () (@var "Z" $$unsorted)) % 33.87/34.20 (define @t35 () (@var "Y" $$unsorted)) % 33.87/34.20 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 33.87/34.20 (define @t37 () (tptp.ssList @t34)) % 33.87/34.20 (define @t38 () (@list @t34)) % 33.87/34.20 (define @t39 () (tptp.ssList @t35)) % 33.87/34.20 (define @t40 () (@list @t35)) % 33.87/34.20 (define @t41 () (tptp.ssItem @t12)) % 33.87/34.20 (define @t42 () (tptp.lt @t1 @t12)) % 33.87/34.20 (define @t43 () (= @t1 @t12)) % 33.87/34.20 (define @t44 () (tptp.cons @t1 @t2)) % 33.87/34.20 (define @t45 () (tptp.ssList tptp.nil)) % 33.87/34.20 (define @t46 () (= @t1 @t2)) % 33.87/34.20 (define @t47 () (tptp.cons @t12 @t1)) % 33.87/34.20 (define @t48 () (= tptp.nil @t2)) % 33.87/34.20 (define @t49 () (tptp.hd @t2)) % 33.87/34.20 (define @t50 () (not @t48)) % 33.87/34.20 (define @t51 () (tptp.tl @t2)) % 33.87/34.20 (define @t52 () (tptp.app @t2 @t1)) % 33.87/34.20 (define @t53 () (tptp.app @t1 @t2)) % 33.87/34.20 (define @t54 () (tptp.app tptp.nil @t2)) % 33.87/34.20 (define @t55 () (=> @t17 (= @t54 @t2))) % 33.87/34.20 (define @t56 () (forall @t9 @t55)) % 33.87/34.20 (define @t57 () (tptp.leq @t1 @t2)) % 33.87/34.20 (define @t58 () (tptp.leq @t2 @t1)) % 33.87/34.20 (define @t59 () (tptp.geq @t2 @t1)) % 33.87/34.20 (define @t60 () (tptp.lt @t1 @t2)) % 33.87/34.20 (define @t61 () (tptp.lt @t2 @t1)) % 33.87/34.20 (define @t62 () (tptp.lt @t2 @t12)) % 33.87/34.20 (define @t63 () (tptp.gt @t2 @t1)) % 33.87/34.20 (define @t64 () (tptp.memberP @t12 @t2)) % 33.87/34.20 (define @t65 () (tptp.app @t12 @t2)) % 33.87/34.20 (define @t66 () (tptp.segmentP @t2 @t2)) % 33.87/34.20 (define @t67 () (forall @t9 (=> @t17 @t66))) % 33.87/34.20 (define @t68 () (tptp.segmentP (tptp.app @t65 @t10) @t1)) % 33.87/34.20 (define @t69 () (=> @t31 @t68)) % 33.87/34.20 (define @t70 () (forall @t14 (=> @t13 @t69))) % 33.87/34.20 (define @t71 () (=> @t15 @t70)) % 33.87/34.20 (define @t72 () (forall @t16 @t71)) % 33.87/34.20 (define @t73 () (=> @t24 @t72)) % 33.87/34.20 (define @t74 () (forall @t7 @t73)) % 33.87/34.20 (define @t75 () (=> @t17 @t74)) % 33.87/34.20 (define @t76 () (forall @t9 @t75)) % 33.87/34.20 (define @t77 () (tptp.cons @t2 tptp.nil)) % 33.87/34.20 (define @t78 () (tptp.hd @t1)) % 33.87/34.20 (define @t79 () (= tptp.nil @t1)) % 33.87/34.20 (define @t80 () (not @t79)) % 33.87/34.20 (define @t81 () (tptp.cons @t2 @t1)) % 33.87/34.20 (define @t82 () (= @t12 @t2)) % 33.87/34.20 (define @t83 () (tptp.neq @t1 tptp.nil)) % 33.87/34.20 (define @t84 () (not @t83)) % 33.87/34.20 (define @t85 () (or @t84 (tptp.neq @t10 tptp.nil))) % 33.87/34.20 (define @t86 () (forall @t38 (or (not @t37) (not (tptp.neq @t34 tptp.nil)) (not (tptp.frontsegP @t10 @t34)) (not (tptp.frontsegP @t12 @t34))))) % 33.87/34.20 (define @t87 () (tptp.segmentP @t2 @t35)) % 33.87/34.20 (define @t88 () (tptp.segmentP @t1 @t35)) % 33.87/34.20 (define @t89 () (tptp.neq @t35 tptp.nil)) % 33.87/34.20 (define @t90 () (and @t39 @t89 @t88 @t87)) % 33.87/34.20 (define @t91 () (exists @t40 @t90)) % 33.87/34.20 (define @t92 () (or @t84 @t91 @t86)) % 33.87/34.20 (define @t93 () (and @t92 @t85)) % 33.87/34.20 (define @t94 () (not (= @t2 @t12))) % 33.87/34.20 (define @t95 () (not (= @t1 @t10))) % 33.87/34.20 (define @t96 () (not @t13)) % 33.87/34.20 (define @t97 () (or @t96 @t95 @t94 @t93)) % 33.87/34.20 (define @t98 () (forall @t14 @t97)) % 33.87/34.20 (define @t99 () (=> @t15 @t98)) % 33.87/34.20 (define @t100 () (forall @t16 @t99)) % 33.87/34.20 (define @t101 () (=> @t24 @t100)) % 33.87/34.20 (define @t102 () (forall @t7 @t101)) % 33.87/34.20 (define @t103 () (=> @t17 @t102)) % 33.87/34.20 (define @t104 () (forall @t9 @t103)) % 33.87/34.20 (define @t105 () (not @t104)) % 33.87/34.20 (define @t106 () (@var "BOUND_VARIABLE_10204" $$unsorted)) % 33.87/34.20 (define @t107 () (@var "BOUND_VARIABLE_10208" $$unsorted)) % 33.87/34.20 (define @t108 () (@var "BOUND_VARIABLE_10206" $$unsorted)) % 33.87/34.20 (define @t109 () (tptp.segmentP (tptp.app (tptp.app @t108 @t2) @t107) @t106)) % 33.87/34.20 (define @t110 () (not (tptp.ssList @t107))) % 33.87/34.20 (define @t111 () (not (tptp.ssList @t108))) % 33.87/34.20 (define @t112 () (not (tptp.segmentP @t2 @t106))) % 33.87/34.20 (define @t113 () (not (tptp.ssList @t106))) % 33.87/34.20 (define @t114 () (not @t17)) % 33.87/34.20 (define @t115 () (or @t113 @t112 @t111 @t110 @t109)) % 33.87/34.20 (define @t116 () (or @t114 @t115)) % 33.87/34.20 (define @t117 () (forall (@list @t2 @t106 @t108 @t107) @t116)) % 33.87/34.20 (define @t118 () (@list @t106 @t108 @t107)) % 33.87/34.20 (define @t119 () (forall @t118 @t116)) % 33.87/34.20 (define @t120 () (forall @t118 @t115)) % 33.87/34.20 (define @t121 () (@var "BOUND_VARIABLE_10185" $$unsorted)) % 33.87/34.20 (define @t122 () (@var "BOUND_VARIABLE_10183" $$unsorted)) % 33.87/34.20 (define @t123 () (or @t114 @t120)) % 33.87/34.20 (define @t124 () (tptp.segmentP (tptp.app (tptp.app @t122 @t2) @t121) @t1)) % 33.87/34.20 (define @t125 () (not (tptp.ssList @t121))) % 33.87/34.20 (define @t126 () (not (tptp.ssList @t122))) % 33.87/34.20 (define @t127 () (not @t31)) % 33.87/34.20 (define @t128 () (not @t24)) % 33.87/34.20 (define @t129 () (or @t128 @t127 @t126 @t125 @t124)) % 33.87/34.20 (define @t130 () (@list @t1 @t122 @t121)) % 33.87/34.20 (define @t131 () (forall @t130 @t129)) % 33.87/34.20 (define @t132 () (or @t126 @t125 @t124)) % 33.87/34.20 (define @t133 () (or @t128 @t127 @t132)) % 33.87/34.20 (define @t134 () (forall @t130 @t133)) % 33.87/34.20 (define @t135 () (@list @t122 @t121)) % 33.87/34.20 (define @t136 () (forall @t135 @t133)) % 33.87/34.20 (define @t137 () (forall @t135 @t132)) % 33.87/34.20 (define @t138 () (@var "BOUND_VARIABLE_10166" $$unsorted)) % 33.87/34.20 (define @t139 () (or @t128 @t127 @t137)) % 33.87/34.20 (define @t140 () (tptp.segmentP (tptp.app @t65 @t138) @t1)) % 33.87/34.20 (define @t141 () (not (tptp.ssList @t138))) % 33.87/34.20 (define @t142 () (not @t15)) % 33.87/34.20 (define @t143 () (or @t142 @t141 @t140)) % 33.87/34.20 (define @t144 () (@list @t12 @t138)) % 33.87/34.20 (define @t145 () (forall @t144 @t143)) % 33.87/34.20 (define @t146 () (or @t128 @t127 @t145)) % 33.87/34.20 (define @t147 () (or @t127 @t145)) % 33.87/34.20 (define @t148 () (or @t141 @t140)) % 33.87/34.20 (define @t149 () (or @t142 @t148)) % 33.87/34.20 (define @t150 () (forall @t144 @t149)) % 33.87/34.20 (define @t151 () (@list @t138)) % 33.87/34.20 (define @t152 () (forall @t151 @t149)) % 33.87/34.20 (define @t153 () (forall @t151 @t148)) % 33.87/34.20 (define @t154 () (or @t142 @t153)) % 33.87/34.20 (define @t155 () (or @t96 @t68)) % 33.87/34.20 (define @t156 () (forall @t14 @t155)) % 33.87/34.20 (define @t157 () (or @t142 @t156)) % 33.87/34.20 (define @t158 () (forall @t16 @t157)) % 33.87/34.20 (define @t159 () (or @t127 @t158)) % 33.87/34.20 (define @t160 () (or @t127 @t157)) % 33.87/34.20 (define @t161 () (or @t142 @t127 @t156)) % 33.87/34.20 (define @t162 () (or @t127 @t156)) % 33.87/34.20 (define @t163 () (or @t127 @t155)) % 33.87/34.20 (define @t164 () (or @t96 @t127 @t68)) % 33.87/34.20 (define @t165 () (@var "BOUND_VARIABLE_11052" $$unsorted)) % 33.87/34.20 (define @t166 () (not (tptp.frontsegP @t2 @t165))) % 33.87/34.20 (define @t167 () (@var "BOUND_VARIABLE_11050" $$unsorted)) % 33.87/34.20 (define @t168 () (not (tptp.frontsegP @t167 @t165))) % 33.87/34.20 (define @t169 () (not (tptp.neq @t165 tptp.nil))) % 33.87/34.20 (define @t170 () (not (tptp.ssList @t165))) % 33.87/34.20 (define @t171 () (not @t87)) % 33.87/34.20 (define @t172 () (not @t89)) % 33.87/34.20 (define @t173 () (not @t39)) % 33.87/34.20 (define @t174 () (not (forall @t40 (or @t173 @t172 (not (tptp.segmentP @t167 @t35)) @t171)))) % 33.87/34.20 (define @t175 () (not (tptp.neq @t167 tptp.nil))) % 33.87/34.20 (define @t176 () (not (tptp.ssList @t167))) % 33.87/34.20 (define @t177 () (or @t114 @t176 @t175 @t174 @t170 @t169 @t168 @t166)) % 33.87/34.20 (define @t178 () (@list @t2 @t167 @t165)) % 33.87/34.20 (define @t179 () (forall @t178 @t177)) % 33.87/34.20 (define @t180 () (@quantifiers_skolemize @t179 2)) % 33.87/34.20 (define @t181 () (tptp.app @t180 @t12)) % 33.87/34.20 (define @t182 () (@quantifiers_skolemize @t179 0)) % 33.87/34.20 (define @t183 () (forall @t16 (or @t142 (not (= @t182 @t181))))) % 33.87/34.20 (define @t184 () (@quantifiers_skolemize @t183 0)) % 33.87/34.20 (define @t185 () (@var "BOUND_VARIABLE_8314" $$unsorted)) % 33.87/34.20 (define @t186 () (= (tptp.frontsegP @t2 @t185) (not (forall @t16 (or @t142 (not (= @t2 (tptp.app @t185 @t12)))))))) % 33.87/34.20 (define @t187 () (not (tptp.ssList @t185))) % 33.87/34.20 (define @t188 () (or @t187 @t186)) % 33.87/34.20 (define @t189 () (or @t114 @t188)) % 33.87/34.20 (define @t190 () (forall (@list @t2 @t185) @t189)) % 33.87/34.20 (define @t191 () (@list @t185)) % 33.87/34.20 (define @t192 () (forall @t191 @t189)) % 33.87/34.20 (define @t193 () (forall @t191 @t188)) % 33.87/34.20 (define @t194 () (or @t114 @t193)) % 33.87/34.20 (define @t195 () (= @t2 @t19)) % 33.87/34.20 (define @t196 () (= @t22 (not (forall @t16 (or @t142 (not @t195)))))) % 33.87/34.20 (define @t197 () (forall @t7 (or @t128 @t196))) % 33.87/34.20 (define @t198 () (and @t15 @t195)) % 33.87/34.20 (define @t199 () (forall @t16 (not @t198))) % 33.87/34.20 (define @t200 () (not @t199)) % 33.87/34.20 (define @t201 () (or @t176 @t175 @t174 @t170 @t169 @t168 @t166)) % 33.87/34.20 (define @t202 () (or @t114 @t201)) % 33.87/34.20 (define @t203 () (forall @t178 @t202)) % 33.87/34.20 (define @t204 () (@list @t167 @t165)) % 33.87/34.20 (define @t205 () (forall @t204 @t202)) % 33.87/34.20 (define @t206 () (forall @t204 @t201)) % 33.87/34.20 (define @t207 () (@var "BOUND_VARIABLE_11030" $$unsorted)) % 33.87/34.20 (define @t208 () (or @t114 @t206)) % 33.87/34.20 (define @t209 () (not (tptp.frontsegP @t2 @t207))) % 33.87/34.20 (define @t210 () (not (tptp.frontsegP @t1 @t207))) % 33.87/34.20 (define @t211 () (not (tptp.neq @t207 tptp.nil))) % 33.87/34.20 (define @t212 () (not (tptp.ssList @t207))) % 33.87/34.20 (define @t213 () (not @t88)) % 33.87/34.20 (define @t214 () (or @t173 @t172 @t213 @t171)) % 33.87/34.20 (define @t215 () (not (forall @t40 @t214))) % 33.87/34.20 (define @t216 () (or @t128 @t84 @t215 @t212 @t211 @t210 @t209)) % 33.87/34.20 (define @t217 () (@list @t1 @t207)) % 33.87/34.20 (define @t218 () (or @t114 (forall @t217 @t216))) % 33.87/34.20 (define @t219 () (or @t212 @t211 @t210 @t209)) % 33.87/34.20 (define @t220 () (or @t128 @t84 @t215 @t219)) % 33.87/34.20 (define @t221 () (forall @t217 @t220)) % 33.87/34.20 (define @t222 () (@list @t207)) % 33.87/34.20 (define @t223 () (forall @t222 @t220)) % 33.87/34.20 (define @t224 () (forall @t222 @t219)) % 33.87/34.20 (define @t225 () (@var "BOUND_VARIABLE_10993" $$unsorted)) % 33.87/34.20 (define @t226 () (@list @t225)) % 33.87/34.20 (define @t227 () (or @t128 @t84 @t215 @t224)) % 33.87/34.20 (define @t228 () (not (tptp.frontsegP @t2 @t225))) % 33.87/34.20 (define @t229 () (not (tptp.frontsegP @t1 @t225))) % 33.87/34.20 (define @t230 () (not (tptp.neq @t225 tptp.nil))) % 33.87/34.20 (define @t231 () (not (tptp.ssList @t225))) % 33.87/34.20 (define @t232 () (or @t231 @t230 @t229 @t228)) % 33.87/34.20 (define @t233 () (@list @t225)) % 33.87/34.20 (define @t234 () (forall @t233 @t232)) % 33.87/34.20 (define @t235 () (or @t128 @t84 @t215 @t234)) % 33.87/34.20 (define @t236 () (forall @t7 @t235)) % 33.87/34.20 (define @t237 () (or @t114 @t236)) % 33.87/34.20 (define @t238 () (or @t114 @t235)) % 33.87/34.20 (define @t239 () (or @t128 @t84 @t215 @t114 @t234)) % 33.87/34.20 (define @t240 () (or @t114 @t234)) % 33.87/34.20 (define @t241 () (or @t114 @t232)) % 33.87/34.20 (define @t242 () (or @t114 @t231 @t230 @t229 @t228)) % 33.87/34.20 (define @t243 () (not (= @t2 @t2))) % 33.87/34.20 (define @t244 () (or @t114 @t243 @t231 @t230 @t229 @t228)) % 33.87/34.20 (define @t245 () (not (tptp.frontsegP @t12 @t225))) % 33.87/34.20 (define @t246 () (or @t94 @t142 @t94 @t231 @t230 @t229 @t245)) % 33.87/34.20 (define @t247 () (or @t142 @t94 @t231 @t230 @t229 @t245)) % 33.87/34.20 (define @t248 () (forall @t16 @t247)) % 33.87/34.20 (define @t249 () (forall @t233 @t248)) % 33.87/34.20 (define @t250 () (forall (@list @t225 @t12) @t247)) % 33.87/34.20 (define @t251 () (@list @t12 @t225)) % 33.87/34.20 (define @t252 () (or @t231 @t230 @t229 @t245)) % 33.87/34.20 (define @t253 () (or @t142 @t94 @t252)) % 33.87/34.20 (define @t254 () (forall @t251 @t253)) % 33.87/34.20 (define @t255 () (forall @t233 @t253)) % 33.87/34.20 (define @t256 () (forall @t233 @t252)) % 33.87/34.20 (define @t257 () (@var "BOUND_VARIABLE_10944" $$unsorted)) % 33.87/34.20 (define @t258 () (@list @t257)) % 33.87/34.20 (define @t259 () (or @t142 @t94 @t256)) % 33.87/34.20 (define @t260 () (not (tptp.frontsegP @t12 @t257))) % 33.87/34.20 (define @t261 () (not (tptp.frontsegP @t1 @t257))) % 33.87/34.20 (define @t262 () (not (tptp.neq @t257 tptp.nil))) % 33.87/34.20 (define @t263 () (not (tptp.ssList @t257))) % 33.87/34.20 (define @t264 () (or @t263 @t262 @t261 @t260)) % 33.87/34.20 (define @t265 () (@list @t257)) % 33.87/34.20 (define @t266 () (forall @t265 @t264)) % 33.87/34.20 (define @t267 () (or @t142 @t94 @t266)) % 33.87/34.20 (define @t268 () (forall @t16 @t267)) % 33.87/34.20 (define @t269 () (or @t128 @t84 @t215 @t268)) % 33.87/34.20 (define @t270 () (or @t128 @t84 @t215 @t267)) % 33.87/34.20 (define @t271 () (or @t142 @t94 @t128 @t84 @t215 @t266)) % 33.87/34.20 (define @t272 () (or @t94 @t128 @t84 @t215 @t266)) % 33.87/34.20 (define @t273 () (or @t128 @t84 @t215 @t266)) % 33.87/34.20 (define @t274 () (or @t128 @t84 @t215 @t264)) % 33.87/34.20 (define @t275 () (or @t128 @t84 @t215 @t263 @t262 @t261 @t260)) % 33.87/34.20 (define @t276 () (or @t84 @t215 @t263 @t262 @t261 @t260)) % 33.87/34.20 (define @t277 () (and @t276 true)) % 33.87/34.20 (define @t278 () (or @t128 @t277)) % 33.87/34.20 (define @t279 () (and @t276 (or @t84 @t83))) % 33.87/34.20 (define @t280 () (or @t128 @t279)) % 33.87/34.20 (define @t281 () (not (= @t1 @t1))) % 33.87/34.20 (define @t282 () (or @t128 @t281 @t279)) % 33.87/34.20 (define @t283 () (not (tptp.frontsegP @t10 @t257))) % 33.87/34.20 (define @t284 () (or @t84 @t215 @t263 @t262 @t283 @t260)) % 33.87/34.20 (define @t285 () (and @t284 @t85)) % 33.87/34.20 (define @t286 () (or @t95 @t96 @t95 @t285)) % 33.87/34.20 (define @t287 () (or @t96 @t95 @t285)) % 33.87/34.20 (define @t288 () (forall @t14 @t287)) % 33.87/34.20 (define @t289 () (forall @t265 @t288)) % 33.87/34.20 (define @t290 () (forall (@list @t257 @t10) @t287)) % 33.87/34.20 (define @t291 () (@list @t10 @t257)) % 33.87/34.20 (define @t292 () (or @t263 @t262 @t283 @t260)) % 33.87/34.20 (define @t293 () (or @t84 @t215 @t292)) % 33.87/34.20 (define @t294 () (and @t293 @t85)) % 33.87/34.20 (define @t295 () (or @t96 @t95 @t294)) % 33.87/34.20 (define @t296 () (forall @t291 @t295)) % 33.87/34.20 (define @t297 () (forall @t265 @t295)) % 33.87/34.20 (define @t298 () (forall @t265 @t85)) % 33.87/34.20 (define @t299 () (forall @t265 @t292)) % 33.87/34.20 (define @t300 () (or @t84 @t215 @t299)) % 33.87/34.20 (define @t301 () (forall @t265 @t293)) % 33.87/34.20 (define @t302 () (and @t301 @t298)) % 33.87/34.20 (define @t303 () (forall @t265 @t294)) % 33.87/34.20 (define @t304 () (or @t96 @t95 @t303)) % 33.87/34.20 (define @t305 () (and (or @t84 @t215 @t86) @t85)) % 33.87/34.20 (define @t306 () (or @t96 @t95 @t305)) % 33.87/34.20 (define @t307 () (forall @t14 @t306)) % 33.87/34.20 (define @t308 () (or @t94 @t307)) % 33.87/34.20 (define @t309 () (or @t94 @t306)) % 33.87/34.20 (define @t310 () (or @t96 @t95 @t94 @t305)) % 33.87/34.20 (define @t311 () (forall @t40 (not @t90))) % 33.87/34.20 (define @t312 () (not @t311)) % 33.87/34.20 (define @t313 () (tptp.ssList @t180)) % 33.87/34.20 (define @t314 () (tptp.frontsegP @t182 @t180)) % 33.87/34.20 (define @t315 () (not @t314)) % 33.87/34.20 (define @t316 () (@quantifiers_skolemize @t179 1)) % 33.87/34.20 (define @t317 () (tptp.frontsegP @t316 @t180)) % 33.87/34.20 (define @t318 () (not @t317)) % 33.87/34.20 (define @t319 () (tptp.neq @t180 tptp.nil)) % 33.87/34.20 (define @t320 () (not @t319)) % 33.87/34.20 (define @t321 () (not @t313)) % 33.87/34.20 (define @t322 () (forall @t40 (or @t173 @t172 (not (tptp.segmentP @t316 @t35)) (not (tptp.segmentP @t182 @t35))))) % 33.87/34.20 (define @t323 () (not @t322)) % 33.87/34.20 (define @t324 () (tptp.ssList @t316)) % 33.87/34.20 (define @t325 () (not @t324)) % 33.87/34.20 (define @t326 () (tptp.ssList @t182)) % 33.87/34.20 (define @t327 () (not @t326)) % 33.87/34.20 (define @t328 () (or @t327 @t325 (not (tptp.neq @t316 tptp.nil)) @t323 @t321 @t320 @t318 @t315)) % 33.87/34.20 (define @t329 () (@list true)) % 33.87/34.20 (define @t330 () (@list @t328)) % 33.87/34.20 (define @t331 () (not @t183)) % 33.87/34.20 (define @t332 () (= @t314 @t331)) % 33.87/34.20 (define @t333 () (or @t327 @t321 @t332)) % 33.87/34.20 (define @t334 () (@list false false false)) % 33.87/34.20 (define @t335 () (@list false false)) % 33.87/34.20 (define @t336 () (tptp.ssList @t184)) % 33.87/34.20 (define @t337 () (tptp.app @t180 @t184)) % 33.87/34.20 (define @t338 () (= @t182 @t337)) % 33.87/34.20 (define @t339 () (not @t338)) % 33.87/34.20 (define @t340 () (not @t336)) % 33.87/34.20 (define @t341 () (or @t340 @t339)) % 33.87/34.20 (define @t342 () (@list @t341)) % 33.87/34.20 (define @t343 () (@list @t180)) % 33.87/34.20 (define @t344 () (tptp.segmentP @t180 @t180)) % 33.87/34.20 (define @t345 () (or @t321 @t344)) % 33.87/34.20 (define @t346 () (tptp.app tptp.nil @t180)) % 33.87/34.20 (define @t347 () (tptp.segmentP (tptp.app @t346 @t184) @t180)) % 33.87/34.20 (define @t348 () (not @t45)) % 33.87/34.20 (define @t349 () (not @t344)) % 33.87/34.20 (define @t350 () (or @t321 @t321 @t349 @t348 @t340 @t347)) % 33.87/34.20 (define @t351 () (@list false false false false false)) % 33.87/34.20 (define @t352 () (= @t2 @t54)) % 33.87/34.20 (define @t353 () (= @t180 @t346)) % 33.87/34.20 (define @t354 () (or @t321 @t353)) % 33.87/34.20 (define @t355 () (tptp.segmentP @t182 @t180)) % 33.87/34.20 (define @t356 () (forall @t16 (or @t142 (not (= @t316 @t181))))) % 33.87/34.20 (define @t357 () (@quantifiers_skolemize @t356 0)) % 33.87/34.20 (define @t358 () (not @t356)) % 33.87/34.20 (define @t359 () (= @t317 @t358)) % 33.87/34.20 (define @t360 () (or @t325 @t321 @t359)) % 33.87/34.20 (define @t361 () (tptp.ssList @t357)) % 33.87/34.20 (define @t362 () (tptp.app @t180 @t357)) % 33.87/34.20 (define @t363 () (= @t316 @t362)) % 33.87/34.20 (define @t364 () (not @t363)) % 33.87/34.20 (define @t365 () (not @t361)) % 33.87/34.20 (define @t366 () (or @t365 @t364)) % 33.87/34.20 (define @t367 () (@list @t366)) % 33.87/34.20 (define @t368 () (tptp.segmentP (tptp.app @t346 @t357) @t180)) % 33.87/34.20 (define @t369 () (or @t321 @t321 @t349 @t348 @t365 @t368)) % 33.87/34.20 (define @t370 () (tptp.segmentP @t316 @t180)) % 33.87/34.20 (define @t371 () (not @t355)) % 33.87/34.20 (define @t372 () (not @t370)) % 33.87/34.20 (define @t373 () (or @t321 @t320 @t372 @t371)) % 33.87/34.20 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 33.87/34.20 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 33.87/34.20 (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))))))))))) % 33.87/34.20 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 33.87/34.20 (assume @p5 @t28) % 33.87/34.20 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t30 (exists @t16 (and @t15 (= @t29 @t2))))))))) % 33.87/34.20 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t29 @t10) @t2))))))))))) % 33.87/34.20 (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))))))))))))))))) % 33.87/34.20 (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)))))))))))))))) % 33.87/34.20 (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))))))))))))))))) % 33.87/34.20 (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))))))))))))))) % 33.87/34.20 (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))))))))))))))) % 33.87/34.20 (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)))))))))))))))) % 33.87/34.20 (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))))))))))))) % 33.87/34.20 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t24 @t5))))) % 33.87/34.20 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t44)))))) % 33.87/34.20 (assume @p17 @t45) % 33.87/34.20 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t44 @t2))))))) % 33.87/34.20 (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))))))))))) % 33.87/34.20 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t24 (exists @t16 (and @t41 (= @t47 @t2))))))))) % 33.87/34.20 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t44))))))) % 33.87/34.20 (assume @p22 (forall @t9 (=> @t17 (=> @t50 (tptp.ssItem @t49))))) % 33.87/34.20 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t44) @t1)))))) % 33.87/34.20 (assume @p24 (forall @t9 (=> @t17 (=> @t50 (tptp.ssList @t51))))) % 33.87/34.20 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t44) @t2)))))) % 33.87/34.20 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (tptp.ssList @t52)))))) % 33.87/34.20 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t53) (tptp.app @t47 @t2))))))))) % 33.87/34.20 (assume @p28 @t56) % 33.87/34.20 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 @t57) @t3)))))) % 33.87/34.20 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t58 @t33) (tptp.leq @t2 @t12))))))))) % 33.87/34.20 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 33.87/34.20 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 @t57)))))) % 33.87/34.20 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (not @t60))))))) % 33.87/34.20 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t42) @t62)))))))) % 33.87/34.20 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t60)))))) % 33.87/34.20 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t64))))))))) % 33.87/34.20 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t64))))))))) % 33.87/34.20 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 33.87/34.20 (assume @p39 (not (tptp.singletonP tptp.nil))) % 33.87/34.20 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t22 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 33.87/34.20 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t22 (tptp.frontsegP @t1 @t2)) @t3)))))) % 33.87/34.20 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 33.87/34.20 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t22 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 33.87/34.20 (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)))))))))))) % 33.87/34.20 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 33.87/34.20 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 33.87/34.20 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t30 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 33.87/34.20 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t30 (tptp.rearsegP @t1 @t2)) @t3)))))) % 33.87/34.20 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 33.87/34.20 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t30 (tptp.rearsegP @t65 @t1))))))))) % 33.87/34.20 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 33.87/34.20 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 33.87/34.20 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 33.87/34.20 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 33.87/34.20 (assume @p55 @t67) % 33.87/34.20 (assume @p56 @t76) % 33.87/34.20 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 33.87/34.20 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 33.87/34.20 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t77)))) % 33.87/34.20 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 33.87/34.20 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t77)))) % 33.87/34.20 (assume @p62 (tptp.totalorderP tptp.nil)) % 33.87/34.20 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t77)))) % 33.87/34.20 (assume @p64 (tptp.strictorderP tptp.nil)) % 33.87/34.20 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t77)))) % 33.87/34.20 (assume @p66 (tptp.totalorderedP tptp.nil)) % 33.87/34.20 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t81) (or @t79 (and @t80 (tptp.totalorderedP @t1) (tptp.leq @t2 @t78))))))))) % 33.87/34.20 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t77)))) % 33.87/34.20 (assume @p69 (tptp.strictorderedP tptp.nil)) % 33.87/34.20 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t81) (or @t79 (and @t80 (tptp.strictorderedP @t1) (tptp.lt @t2 @t78))))))))) % 33.87/34.20 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t77)))) % 33.87/34.20 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 33.87/34.20 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t77)))) % 33.87/34.20 (assume @p74 (tptp.equalelemsP tptp.nil)) % 33.87/34.20 (assume @p75 (forall @t9 (=> @t17 (=> @t50 (exists @t7 (and @t6 (= @t49 @t1))))))) % 33.87/34.20 (assume @p76 (forall @t9 (=> @t17 (=> @t50 (exists @t7 (and @t24 (= @t51 @t1))))))) % 33.87/34.20 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t80 @t50 (= @t78 @t49) (= (tptp.tl @t1) @t51)) @t46)))))) % 33.87/34.20 (assume @p78 (forall @t9 (=> @t17 (=> @t50 (= (tptp.cons @t49 @t51) @t2))))) % 33.87/34.20 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t29 @t52) @t82)))))))) % 33.87/34.20 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t19 @t53) @t82)))))))) % 33.87/34.20 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t44 (tptp.app @t18 @t2))))))) % 33.87/34.20 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.app @t52 @t12) (tptp.app @t2 @t19))))))))) % 33.87/34.20 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= (= tptp.nil @t52) (and @t79 @t48))))))) % 33.87/34.20 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 33.87/34.20 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t50 (= (tptp.hd @t52) @t49))))))) % 33.87/34.20 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t50 (= (tptp.tl @t52) (tptp.app @t51 @t1)))))))) % 33.87/34.20 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t59 (tptp.geq @t1 @t2)) @t3)))))) % 33.87/34.20 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t59 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 33.87/34.20 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 33.87/34.20 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 33.87/34.20 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t58 @t42) @t62)))))))) % 33.87/34.20 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (or @t3 @t61))))))) % 33.87/34.20 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 (and @t4 @t58))))))) % 33.87/34.20 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t63 (not (tptp.gt @t1 @t2)))))))) % 33.87/34.20 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t63 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 33.87/34.20 (assume @p96 @t105) % 33.87/34.20 (assume @p97 true) % 33.87/34.20 (step @p98 :rule evaluate :args ((= false true))) % 33.87/34.20 (step @p99 :rule aci_norm :args ((= @t116 (or @t114 @t113 @t112 @t111 @t110 @t109)))) % 33.87/34.20 (step @p100 :rule cong :premises (@p99) :args (@t117)) % 33.87/34.20 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t119) @t117))) % 33.87/34.20 (step @p102 :rule alpha_equiv :args (@t120 (@list @t106 @t108 @t107) (@list @t1 @t122 @t121))) % 33.87/34.20 (step @p103 :rule refl :args (@t114)) % 33.87/34.20 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t123)) % 33.87/34.20 (step @p105 :rule quant-miniscope-or :args ((= @t119 @t123))) % 33.87/34.20 (step @p106 :rule trans :premises (@p105 @p104)) % 33.87/34.20 (step @p107 :rule symm :premises (@p106)) % 33.87/34.20 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (or @t114 @t131)))) % 33.87/34.20 (step @p109 :rule trans :premises (@p108 @p101)) % 33.87/34.20 (step @p110 :rule trans :premises (@p109 @p100)) % 33.87/34.20 (step @p111 :rule bool-impl-elim :args (@t17 @t131)) % 33.87/34.20 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t17 @t131)))) % 33.87/34.20 (step @p113 :rule trans :premises (@p112 @p110)) % 33.87/34.20 (step @p114 :rule aci_norm :args ((= @t133 @t129))) % 33.87/34.20 (step @p115 :rule cong :premises (@p114) :args (@t134)) % 33.87/34.20 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t136) @t134))) % 33.87/34.20 (step @p117 :rule alpha_equiv :args (@t137 (@list @t122 @t121) (@list @t12 @t138))) % 33.87/34.20 (step @p118 :rule refl :args (@t127)) % 33.87/34.20 (step @p119 :rule refl :args (@t128)) % 33.87/34.20 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t139)) % 33.87/34.20 (step @p121 :rule quant-miniscope-or :args ((= @t136 @t139))) % 33.87/34.20 (step @p122 :rule trans :premises (@p121 @p120)) % 33.87/34.20 (step @p123 :rule symm :premises (@p122)) % 33.87/34.20 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 @t146))) % 33.87/34.20 (step @p125 :rule trans :premises (@p124 @p116)) % 33.87/34.20 (step @p126 :rule trans :premises (@p125 @p115)) % 33.87/34.20 (step @p127 :rule aci_norm :args ((= (or @t128 @t147) @t146))) % 33.87/34.20 (step @p128 :rule bool-impl-elim :args (@t24 @t147)) % 33.87/34.20 (step @p129 :rule trans :premises (@p128 @p127)) % 33.87/34.20 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 (=> @t24 @t147)))) % 33.87/34.20 (step @p131 :rule trans :premises (@p130 @p126)) % 33.87/34.20 (step @p132 :rule aci_norm :args ((= @t149 @t143))) % 33.87/34.20 (step @p133 :rule cong :premises (@p132) :args (@t150)) % 33.87/34.20 (step @p134 :rule quant-merge-prenex :args ((= (forall @t16 @t152) @t150))) % 33.87/34.20 (step @p135 :rule alpha_equiv :args (@t153 (@list @t138) (@list @t10))) % 33.87/34.20 (step @p136 :rule refl :args (@t142)) % 33.87/34.20 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t154)) % 33.87/34.20 (step @p138 :rule quant-miniscope-or :args ((= @t152 @t154))) % 33.87/34.20 (step @p139 :rule trans :premises (@p138 @p137)) % 33.87/34.20 (step @p140 :rule symm :premises (@p139)) % 33.87/34.20 (step @p141 :rule cong :premises (@p140) :args (@t158)) % 33.87/34.20 (step @p142 :rule trans :premises (@p141 @p134)) % 33.87/34.20 (step @p143 :rule trans :premises (@p142 @p133)) % 33.87/34.20 (step @p144 :rule refl :args (@t127)) % 33.87/34.20 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t159)) % 33.87/34.20 (step @p146 :rule quant-miniscope-or :args ((= (forall @t16 @t160) @t159))) % 33.87/34.20 (step @p147 :rule aci_norm :args ((= @t161 @t160))) % 33.87/34.20 (step @p148 :rule cong :premises (@p147) :args ((forall @t16 @t161))) % 33.87/34.20 (step @p149 :rule trans :premises (@p148 @p146)) % 33.87/34.20 (step @p150 :rule trans :premises (@p149 @p145)) % 33.87/34.20 (step @p151 :rule aci_norm :args ((= (or @t142 @t162) @t161))) % 33.87/34.20 (step @p152 :rule bool-impl-elim :args (@t15 @t162)) % 33.87/34.20 (step @p153 :rule trans :premises (@p152 @p151)) % 33.87/34.20 (step @p154 :rule cong :premises (@p153) :args ((forall @t16 (=> @t15 @t162)))) % 33.87/34.20 (step @p155 :rule trans :premises (@p154 @p150)) % 33.87/34.20 (step @p156 :rule quant-miniscope-or :args ((= (forall @t14 @t163) @t162))) % 33.87/34.20 (step @p157 :rule aci_norm :args ((= @t164 @t163))) % 33.87/34.20 (step @p158 :rule cong :premises (@p157) :args ((forall @t14 @t164))) % 33.87/34.20 (step @p159 :rule trans :premises (@p158 @p156)) % 33.87/34.20 (step @p160 :rule aci_norm :args ((= (or @t96 (or @t127 @t68)) @t164))) % 33.87/34.20 (step @p161 :rule bool-impl-elim :args (@t31 @t68)) % 33.87/34.20 (step @p162 :rule refl :args (@t96)) % 33.87/34.20 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t96 @t69))) % 33.87/34.20 (step @p164 :rule trans :premises (@p163 @p160)) % 33.87/34.20 (step @p165 :rule bool-impl-elim :args (@t13 @t69)) % 33.87/34.20 (step @p166 :rule trans :premises (@p165 @p164)) % 33.87/34.20 (step @p167 :rule cong :premises (@p166) :args (@t70)) % 33.87/34.20 (step @p168 :rule trans :premises (@p167 @p159)) % 33.87/34.20 (step @p169 :rule refl :args (@t15)) % 33.87/34.20 (step @p170 :rule cong :premises (@p169 @p168) :args (@t71)) % 33.87/34.20 (step @p171 :rule cong :premises (@p170) :args (@t72)) % 33.87/34.20 (step @p172 :rule trans :premises (@p171 @p155)) % 33.87/34.20 (step @p173 :rule refl :args (@t24)) % 33.87/34.20 (step @p174 :rule cong :premises (@p173 @p172) :args (@t73)) % 33.87/34.20 (step @p175 :rule cong :premises (@p174) :args (@t74)) % 33.87/34.20 (step @p176 :rule trans :premises (@p175 @p131)) % 33.87/34.20 (step @p177 :rule refl :args (@t17)) % 33.87/34.20 (step @p178 :rule cong :premises (@p177 @p176) :args (@t75)) % 33.87/34.20 (step @p179 :rule cong :premises (@p178) :args (@t76)) % 33.87/34.20 (step @p180 :rule trans :premises (@p179 @p113)) % 33.87/34.20 (step @p181 :rule eq_resolve :premises (@p56 @p180)) % 33.87/34.20 (step @p182 :rule instantiate :premises (@p181) :args ((@list @t180 @t180 tptp.nil @t184))) % 33.87/34.20 (step @p183 :rule aci_norm :args ((= @t189 (or @t114 @t187 @t186)))) % 33.87/34.20 (step @p184 :rule cong :premises (@p183) :args (@t190)) % 33.87/34.20 (step @p185 :rule quant-merge-prenex :args ((= (forall @t9 @t192) @t190))) % 33.87/34.20 (step @p186 :rule alpha_equiv :args (@t193 (@list @t185) (@list @t1))) % 33.87/34.20 (step @p187 :rule nary_cong :premises (@p103 @p186) :args (@t194)) % 33.87/34.20 (step @p188 :rule quant-miniscope-or :args ((= @t192 @t194))) % 33.87/34.20 (step @p189 :rule trans :premises (@p188 @p187)) % 33.87/34.20 (step @p190 :rule symm :premises (@p189)) % 33.87/34.20 (step @p191 :rule cong :premises (@p190) :args ((forall @t9 (or @t114 @t197)))) % 33.87/34.20 (step @p192 :rule trans :premises (@p191 @p185)) % 33.87/34.20 (step @p193 :rule trans :premises (@p192 @p184)) % 33.87/34.20 (step @p194 :rule bool-impl-elim :args (@t17 @t197)) % 33.87/34.20 (step @p195 :rule cong :premises (@p194) :args ((forall @t9 (=> @t17 @t197)))) % 33.87/34.20 (step @p196 :rule trans :premises (@p195 @p193)) % 33.87/34.20 (step @p197 :rule bool-impl-elim :args (@t24 @t196)) % 33.87/34.20 (step @p198 :rule cong :premises (@p197) :args ((forall @t7 (=> @t24 @t196)))) % 33.87/34.20 (step @p199 :rule bool-and-de-morgan :args (@t15 @t195 true)) % 33.87/34.20 (step @p200 :rule cong :premises (@p199) :args (@t199)) % 33.87/34.20 (step @p201 :rule cong :premises (@p200) :args (@t200)) % 33.87/34.20 (step @p202 :rule exists-elim :args ((= (exists @t16 @t198) @t200))) % 33.87/34.20 (step @p203 :rule trans :premises (@p202 @p201)) % 33.87/34.20 (step @p204 :rule eq-symm :args (@t19 @t2)) % 33.87/34.20 (step @p205 :rule nary_cong :premises (@p169 @p204) :args (@t20)) % 33.87/34.20 (step @p206 :rule cong :premises (@p205) :args (@t21)) % 33.87/34.20 (step @p207 :rule trans :premises (@p206 @p203)) % 33.87/34.20 (step @p208 :rule refl :args (@t22)) % 33.87/34.20 (step @p209 :rule cong :premises (@p208 @p207) :args (@t23)) % 33.87/34.20 (step @p210 :rule cong :premises (@p173 @p209) :args (@t25)) % 33.87/34.20 (step @p211 :rule cong :premises (@p210) :args (@t26)) % 33.87/34.20 (step @p212 :rule trans :premises (@p211 @p198)) % 33.87/34.20 (step @p213 :rule cong :premises (@p177 @p212) :args (@t27)) % 33.87/34.20 (step @p214 :rule cong :premises (@p213) :args (@t28)) % 33.87/34.20 (step @p215 :rule trans :premises (@p214 @p196)) % 33.87/34.20 (step @p216 :rule eq_resolve :premises (@p5 @p215)) % 33.87/34.20 (step @p217 :rule instantiate :premises (@p216) :args ((@list @t182 @t180))) % 33.87/34.20 (step @p218 :rule aci_norm :args ((= @t202 @t177))) % 33.87/34.20 (step @p219 :rule cong :premises (@p218) :args (@t203)) % 33.87/34.20 (step @p220 :rule quant-merge-prenex :args ((= (forall @t9 @t205) @t203))) % 33.87/34.20 (step @p221 :rule alpha_equiv :args (@t206 (@list @t167 @t165) (@list @t1 @t207))) % 33.87/34.20 (step @p222 :rule nary_cong :premises (@p103 @p221) :args (@t208)) % 33.87/34.20 (step @p223 :rule quant-miniscope-or :args ((= @t205 @t208))) % 33.87/34.20 (step @p224 :rule trans :premises (@p223 @p222)) % 33.87/34.20 (step @p225 :rule symm :premises (@p224)) % 33.87/34.20 (step @p226 :rule cong :premises (@p225) :args ((forall @t9 @t218))) % 33.87/34.20 (step @p227 :rule trans :premises (@p226 @p220)) % 33.87/34.20 (step @p228 :rule trans :premises (@p227 @p219)) % 33.87/34.20 (step @p229 :rule aci_norm :args ((= (or @t114 @t218) @t218))) % 33.87/34.20 (step @p230 :rule bool-impl-elim :args (@t17 @t218)) % 33.87/34.20 (step @p231 :rule trans :premises (@p230 @p229)) % 33.87/34.20 (step @p232 :rule cong :premises (@p231) :args ((forall @t9 (=> @t17 @t218)))) % 33.87/34.20 (step @p233 :rule trans :premises (@p232 @p228)) % 33.87/34.20 (step @p234 :rule aci_norm :args ((= @t220 @t216))) % 33.87/34.20 (step @p235 :rule cong :premises (@p234) :args (@t221)) % 33.87/34.20 (step @p236 :rule quant-merge-prenex :args ((= (forall @t7 @t223) @t221))) % 33.87/34.20 (step @p237 :rule alpha_equiv :args (@t224 (@list @t207) @t226)) % 33.87/34.20 (step @p238 :rule refl :args (@t215)) % 33.87/34.20 (step @p239 :rule refl :args (@t84)) % 33.87/34.20 (step @p240 :rule nary_cong :premises (@p119 @p239 @p238 @p237) :args (@t227)) % 33.87/34.20 (step @p241 :rule quant-miniscope-or :args ((= @t223 @t227))) % 33.87/34.20 (step @p242 :rule trans :premises (@p241 @p240)) % 33.87/34.20 (step @p243 :rule symm :premises (@p242)) % 33.87/34.20 (step @p244 :rule cong :premises (@p243) :args (@t236)) % 33.87/34.20 (step @p245 :rule trans :premises (@p244 @p236)) % 33.87/34.20 (step @p246 :rule trans :premises (@p245 @p235)) % 33.87/34.20 (step @p247 :rule refl :args (@t114)) % 33.87/34.20 (step @p248 :rule nary_cong :premises (@p247 @p246) :args (@t237)) % 33.87/34.20 (step @p249 :rule quant-miniscope-or :args ((= (forall @t7 @t238) @t237))) % 33.87/34.20 (step @p250 :rule aci_norm :args ((= @t239 @t238))) % 33.87/34.20 (step @p251 :rule cong :premises (@p250) :args ((forall @t7 @t239))) % 33.87/34.20 (step @p252 :rule trans :premises (@p251 @p249)) % 33.87/34.20 (step @p253 :rule trans :premises (@p252 @p248)) % 33.87/34.20 (step @p254 :rule aci_norm :args ((= (or @t128 @t239) @t239))) % 33.87/34.20 (step @p255 :rule bool-impl-elim :args (@t24 @t239)) % 33.87/34.20 (step @p256 :rule trans :premises (@p255 @p254)) % 33.87/34.20 (step @p257 :rule cong :premises (@p256) :args ((forall @t7 (=> @t24 @t239)))) % 33.87/34.20 (step @p258 :rule trans :premises (@p257 @p253)) % 33.87/34.20 (step @p259 :rule aci_norm :args ((= (or @t128 @t84 @t215 @t240) @t239))) % 33.87/34.20 (step @p260 :rule quant-miniscope-or :args ((= (forall @t233 @t241) @t240))) % 33.87/34.20 (step @p261 :rule aci_norm :args ((= @t242 @t241))) % 33.87/34.20 (step @p262 :rule cong :premises (@p261) :args ((forall @t233 @t242))) % 33.87/34.20 (step @p263 :rule trans :premises (@p262 @p260)) % 33.87/34.20 (step @p264 :rule aci_norm :args ((= (or @t114 false @t231 @t230 @t229 @t228) @t242))) % 33.87/34.20 (step @p265 :rule refl :args (@t228)) % 33.87/34.20 (step @p266 :rule refl :args (@t229)) % 33.87/34.20 (step @p267 :rule refl :args (@t230)) % 33.87/34.20 (step @p268 :rule refl :args (@t231)) % 33.87/34.20 (step @p269 :rule evaluate :args ((not true))) % 33.87/34.20 (step @p270 :rule eq-refl :args (@t2)) % 33.87/34.20 (step @p271 :rule cong :premises (@p270) :args (@t243)) % 33.87/34.20 (step @p272 :rule trans :premises (@p271 @p269)) % 33.87/34.20 (step @p273 :rule nary_cong :premises (@p247 @p272 @p268 @p267 @p266 @p265) :args (@t244)) % 33.87/34.20 (step @p274 :rule trans :premises (@p273 @p264)) % 33.87/34.20 (step @p275 :rule cong :premises (@p274) :args ((forall @t233 @t244))) % 33.87/34.20 (step @p276 :rule trans :premises (@p275 @p263)) % 33.87/34.20 (step @p277 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t82) @t142 @t94 @t231 @t230 @t229 @t245)) @t244))) % 33.87/34.20 (step @p278 :rule refl :args (@t245)) % 33.87/34.20 (step @p279 :rule refl :args (@t229)) % 33.87/34.20 (step @p280 :rule refl :args (@t230)) % 33.87/34.20 (step @p281 :rule refl :args (@t231)) % 33.87/34.20 (step @p282 :rule refl :args (@t94)) % 33.87/34.20 (step @p283 :rule eq-symm :args (@t2 @t12)) % 33.87/34.20 (step @p284 :rule cong :premises (@p283) :args (@t94)) % 33.87/34.20 (step @p285 :rule nary_cong :premises (@p284 @p136 @p282 @p281 @p280 @p279 @p278) :args (@t246)) % 33.87/34.20 (step @p286 :rule aci_norm :args ((= @t247 @t246))) % 33.87/34.20 (step @p287 :rule trans :premises (@p286 @p285)) % 33.87/34.20 (step @p288 :rule cong :premises (@p287) :args (@t248)) % 33.87/34.20 (step @p289 :rule trans :premises (@p288 @p277)) % 33.87/34.20 (step @p290 :rule cong :premises (@p289) :args (@t249)) % 33.87/34.20 (step @p291 :rule quant-merge-prenex :args ((= @t249 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(step @p404 :rule refl :args (@t173)) % 33.87/34.20 (step @p405 :rule nary_cong :premises (@p404 @p403) :args ((or @t173 (not (and @t89 @t88 @t87))))) % 33.87/34.20 (step @p406 :rule bool-and-de-morgan :args (@t39 @t89 (and @t88 @t87))) % 33.87/34.20 (step @p407 :rule trans :premises (@p406 @p405)) % 33.87/34.20 (step @p408 :rule trans :premises (@p407 @p398)) % 33.87/34.20 (step @p409 :rule cong :premises (@p408) :args (@t311)) % 33.87/34.20 (step @p410 :rule cong :premises (@p409) :args (@t312)) % 33.87/34.20 (step @p411 :rule exists-elim :args ((= @t91 @t312))) % 33.87/34.20 (step @p412 :rule trans :premises (@p411 @p410)) % 33.87/34.20 (step @p413 :rule nary_cong :premises (@p309 @p412 @p397) :args (@t92)) % 33.87/34.20 (step @p414 :rule nary_cong :premises (@p413 @p365) :args (@t93)) % 33.87/34.20 (step @p415 :rule nary_cong :premises (@p369 @p368 @p389 @p414) :args (@t97)) % 33.87/34.20 (step @p416 :rule cong :premises (@p415) :args (@t98)) % 33.87/34.20 (step @p417 :rule trans 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33.87/34.20 (step @p456 :rule bool-double-not-elim :args (@t336)) % 33.87/34.20 (step @p457 :rule refl :args (@t341)) % 33.87/34.20 (step @p458 :rule nary_cong :premises (@p457 @p456) :args ((or @t341 (not @t340)))) % 33.87/34.20 (step @p459 :rule cnf_or_neg :args (@t341 0)) % 33.87/34.20 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 33.87/34.20 (step @p461 :rule reordering :premises (@p460) :args ((or @t336 @t341))) % 33.87/34.20 (step @p462 :rule chain_m_resolution :premises (@p461 @p455) :args (@t336 @t329 @t342)) % 33.87/34.20 (step @p463 :rule bool-impl-elim :args (@t17 @t66)) % 33.87/34.20 (step @p464 :rule cong :premises (@p463) :args (@t67)) % 33.87/34.20 (step @p465 :rule eq_resolve :premises (@p55 @p464)) % 33.87/34.20 (step @p466 :rule instantiate :premises (@p465) :args (@t343)) % 33.87/34.20 (step @p467 :rule cnf_or_pos :args (@t345)) % 33.87/34.20 (step @p468 :rule reordering :premises (@p467) :args ((or @t321 @t344 (not @t345)))) % 33.87/34.20 (step @p469 :rule 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chain_m_resolution :premises (@p493 @p455) :args (@t338 @t329 @t342)) % 33.87/34.20 (step @p495 :rule trans :premises (@p494 @p488)) % 33.87/34.20 (step @p496 :rule cong :premises (@p495 @p475) :args (@t355)) % 33.87/34.20 (step @p497 :rule bool-double-not-elim :args (@t322)) % 33.87/34.20 (step @p498 :rule nary_cong :premises (@p431 @p497) :args ((or @t328 (not @t323)))) % 33.87/34.20 (step @p499 :rule cnf_or_neg :args (@t328 3)) % 33.87/34.20 (step @p500 :rule eq_resolve :premises (@p499 @p498)) % 33.87/34.20 (step @p501 :rule reordering :premises (@p500) :args ((or @t322 @t328))) % 33.87/34.20 (step @p502 :rule chain_m_resolution :premises (@p501 @p429) :args (@t322 @t329 @t330)) % 33.87/34.20 (step @p503 :rule instantiate :premises (@p502) :args (@t343)) % 33.87/34.20 (step @p504 :rule instantiate :premises (@p181) :args ((@list @t180 @t180 tptp.nil @t357))) % 33.87/34.20 (step @p505 :rule instantiate :premises (@p216) :args ((@list @t316 @t180))) % 33.87/34.20 (step @p506 :rule bool-double-not-elim :args (@t324)) % 33.87/34.20 (step @p507 :rule nary_cong :premises (@p431 @p506) :args ((or @t328 (not @t325)))) % 33.87/34.20 (step @p508 :rule cnf_or_neg :args (@t328 1)) % 33.87/34.20 (step @p509 :rule eq_resolve :premises (@p508 @p507)) % 33.87/34.20 (step @p510 :rule reordering :premises (@p509) :args ((or @t324 @t328))) % 33.87/34.20 (step @p511 :rule chain_m_resolution :premises (@p510 @p429) :args (@t324 @t329 @t330)) % 33.87/34.20 (step @p512 :rule cnf_or_pos :args (@t360)) % 33.87/34.20 (step @p513 :rule reordering :premises (@p512) :args ((or @t325 @t321 @t359 (not @t360)))) % 33.87/34.20 (step @p514 :rule chain_m_resolution :premises (@p513 @p511 @p436 @p505) :args (@t359 @t334 (@list @t324 @t313 @t360))) % 33.87/34.20 (step @p515 :rule bool-double-not-elim :args (@t317)) % 33.87/34.20 (step @p516 :rule nary_cong :premises (@p431 @p515) :args ((or @t328 (not @t318)))) % 33.87/34.20 (step @p517 :rule cnf_or_neg :args (@t328 6)) % 33.87/34.20 (step @p518 :rule eq_resolve :premises (@p517 @p516)) % 33.87/34.20 (step @p519 :rule reordering :premises (@p518) :args ((or @t317 @t328))) % 33.87/34.20 (step @p520 :rule chain_m_resolution :premises (@p519 @p429) :args (@t317 @t329 @t330)) % 33.87/34.20 (step @p521 :rule cnf_equiv_pos1 :args (@t359)) % 33.87/34.20 (step @p522 :rule reordering :premises (@p521) :args ((or @t318 @t358 (not @t359)))) % 33.87/34.20 (step @p523 :rule chain_m_resolution :premises (@p522 @p520 @p514) :args (@t358 @t335 (@list @t317 @t359))) % 33.87/34.20 (step @p524 :rule skolemize :premises (@p523)) % 33.87/34.20 (step @p525 :rule bool-double-not-elim :args (@t361)) % 33.87/34.20 (step @p526 :rule refl :args (@t366)) % 33.87/34.20 (step @p527 :rule nary_cong :premises (@p526 @p525) :args ((or @t366 (not @t365)))) % 33.87/34.20 (step @p528 :rule cnf_or_neg :args (@t366 0)) % 33.87/34.20 (step @p529 :rule eq_resolve :premises (@p528 @p527)) % 33.87/34.20 (step @p530 :rule reordering :premises (@p529) :args ((or @t361 @t366))) % 33.87/34.20 (step @p531 :rule chain_m_resolution :premises (@p530 @p524) :args (@t361 @t329 @t367)) % 33.87/34.20 (step @p532 :rule cnf_or_pos :args (@t369)) % 33.87/34.20 (step @p533 :rule factoring :premises (@p532)) % 33.87/34.20 (step @p534 :rule reordering :premises (@p533) :args ((or @t348 @t321 @t349 @t365 @t368 (not @t369)))) % 33.87/34.20 (step @p535 :rule chain_m_resolution :premises (@p534 @p17 @p436 @p469 @p531 @p504) :args (@t368 @t351 (@list @t45 @t313 @t344 @t361 @t369))) % 33.87/34.20 (step @p536 :rule true_intro :premises (@p535)) % 33.87/34.20 (step @p537 :rule refl :args (@t357)) % 33.87/34.20 (step @p538 :rule cong :premises (@p487 @p537) :args (@t362)) % 33.87/34.20 (step @p539 :rule bool-double-not-elim :args (@t363)) % 33.87/34.20 (step @p540 :rule nary_cong :premises (@p526 @p539) :args ((or @t366 (not @t364)))) % 33.87/34.20 (step @p541 :rule cnf_or_neg :args (@t366 1)) % 33.87/34.20 (step @p542 :rule eq_resolve :premises (@p541 @p540)) % 33.87/34.20 (step @p543 :rule reordering :premises (@p542) :args ((or @t363 @t366))) % 33.87/34.20 (step @p544 :rule chain_m_resolution :premises (@p543 @p524) :args (@t363 @t329 @t367)) % 33.87/34.20 (step @p545 :rule trans :premises (@p544 @p538)) % 33.87/34.20 (step @p546 :rule cong :premises (@p545 @p475) :args (@t370)) % 33.87/34.20 (step @p547 :rule trans :premises (@p546 @p536)) % 33.87/34.20 (step @p548 :rule true_elim :premises (@p547)) % 33.87/34.20 (step @p549 :rule bool-double-not-elim :args (@t319)) % 33.87/34.20 (step @p550 :rule nary_cong :premises (@p431 @p549) :args ((or @t328 (not @t320)))) % 33.87/34.20 (step @p551 :rule cnf_or_neg :args (@t328 5)) % 33.87/34.20 (step @p552 :rule eq_resolve :premises (@p551 @p550)) % 33.87/34.20 (step @p553 :rule reordering :premises (@p552) :args ((or @t319 @t328))) % 33.87/34.20 (step @p554 :rule chain_m_resolution :premises (@p553 @p429) :args (@t319 @t329 @t330)) % 33.87/34.20 (step @p555 :rule cnf_or_pos :args (@t373)) % 33.87/34.20 (step @p556 :rule reordering :premises (@p555) :args ((or @t321 @t320 @t372 @t371 (not @t373)))) % 33.87/34.20 (step @p557 :rule chain_m_resolution :premises (@p556 @p436 @p554 @p548 @p503) :args (@t371 (@list false false false false) (@list @t313 @t319 @t370 @t373))) % 33.87/34.20 (step @p558 :rule false_intro :premises (@p557)) % 33.87/34.20 (step @p559 :rule symm :premises (@p558)) % 33.87/34.20 (step @p560 :rule trans :premises (@p559 @p496 @p474)) % 33.87/34.20 (step @p561 false :rule eq_resolve :premises (@p560 @p98)) % 33.87/34.20 ) % 33.87/34.20 % SZS output end Proof % 33.87/34.20 % cvc5 exiting %------------------------------------------------------------------------------