%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC015+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 : n013.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 08:57:42 AM UTC 2026 % Result : Theorem 35.04s 35.29s % Output : Proof 35.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC015+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:09:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 35.04/35.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.04/35.29 --- Run --no-e-matching --full-saturate-quant at 6... % 35.04/35.29 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.04/35.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.04/35.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.04/35.29 % SZS status Theorem % 35.04/35.29 % SZS output start Proof % 35.04/35.29 ( % 35.04/35.29 (declare-sort $$unsorted 0) % 35.04/35.29 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 35.04/35.29 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 35.04/35.29 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 35.04/35.29 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 35.04/35.29 (declare-const tptp.nil $$unsorted) % 35.04/35.29 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.ssList (-> $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 35.04/35.29 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 35.04/35.29 (define @t1 () (@var "V" $$unsorted)) % 35.04/35.29 (define @t2 () (@var "U" $$unsorted)) % 35.04/35.29 (define @t3 () (= @t2 @t1)) % 35.04/35.29 (define @t4 () (not @t3)) % 35.04/35.29 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 35.04/35.29 (define @t6 () (tptp.ssItem @t1)) % 35.04/35.29 (define @t7 () (@list @t1)) % 35.04/35.29 (define @t8 () (tptp.ssItem @t2)) % 35.04/35.29 (define @t9 () (@list @t2)) % 35.04/35.29 (define @t10 () (@var "X" $$unsorted)) % 35.04/35.29 (define @t11 () (tptp.cons @t1 @t10)) % 35.04/35.29 (define @t12 () (@var "W" $$unsorted)) % 35.04/35.29 (define @t13 () (tptp.ssList @t10)) % 35.04/35.29 (define @t14 () (@list @t10)) % 35.04/35.29 (define @t15 () (tptp.ssList @t12)) % 35.04/35.29 (define @t16 () (@list @t12)) % 35.04/35.29 (define @t17 () (tptp.ssList @t2)) % 35.04/35.29 (define @t18 () (tptp.cons @t1 tptp.nil)) % 35.04/35.29 (define @t19 () (tptp.app @t1 @t12)) % 35.04/35.29 (define @t20 () (tptp.frontsegP @t2 @t1)) % 35.04/35.29 (define @t21 () (tptp.ssList @t1)) % 35.04/35.29 (define @t22 () (tptp.app @t12 @t1)) % 35.04/35.29 (define @t23 () (tptp.rearsegP @t2 @t1)) % 35.04/35.29 (define @t24 () (tptp.segmentP @t2 @t1)) % 35.04/35.29 (define @t25 () (tptp.leq @t12 @t1)) % 35.04/35.29 (define @t26 () (tptp.leq @t1 @t12)) % 35.04/35.29 (define @t27 () (@var "Z" $$unsorted)) % 35.04/35.29 (define @t28 () (@var "Y" $$unsorted)) % 35.04/35.29 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 35.04/35.29 (define @t30 () (tptp.ssList @t27)) % 35.04/35.29 (define @t31 () (@list @t27)) % 35.04/35.29 (define @t32 () (tptp.ssList @t28)) % 35.04/35.29 (define @t33 () (@list @t28)) % 35.04/35.29 (define @t34 () (tptp.ssItem @t12)) % 35.04/35.29 (define @t35 () (tptp.lt @t1 @t12)) % 35.04/35.29 (define @t36 () (= @t1 @t12)) % 35.04/35.29 (define @t37 () (forall @t7 (=> @t21 @t5))) % 35.04/35.29 (define @t38 () (=> @t17 @t37)) % 35.04/35.29 (define @t39 () (forall @t9 @t38)) % 35.04/35.29 (define @t40 () (tptp.cons @t1 @t2)) % 35.04/35.29 (define @t41 () (tptp.ssList tptp.nil)) % 35.04/35.29 (define @t42 () (not (= @t40 @t2))) % 35.04/35.29 (define @t43 () (=> @t6 @t42)) % 35.04/35.29 (define @t44 () (forall @t7 @t43)) % 35.04/35.29 (define @t45 () (=> @t17 @t44)) % 35.04/35.29 (define @t46 () (forall @t9 @t45)) % 35.04/35.29 (define @t47 () (= @t1 @t2)) % 35.04/35.29 (define @t48 () (tptp.cons @t12 @t1)) % 35.04/35.29 (define @t49 () (and @t34 (= @t48 @t2))) % 35.04/35.29 (define @t50 () (exists @t16 @t49)) % 35.04/35.29 (define @t51 () (and @t21 @t50)) % 35.04/35.29 (define @t52 () (exists @t7 @t51)) % 35.04/35.29 (define @t53 () (= tptp.nil @t2)) % 35.04/35.29 (define @t54 () (or @t53 @t52)) % 35.04/35.29 (define @t55 () (=> @t17 @t54)) % 35.04/35.29 (define @t56 () (forall @t9 @t55)) % 35.04/35.29 (define @t57 () (tptp.hd @t2)) % 35.04/35.29 (define @t58 () (tptp.ssItem @t57)) % 35.04/35.29 (define @t59 () (not @t53)) % 35.04/35.29 (define @t60 () (=> @t59 @t58)) % 35.04/35.29 (define @t61 () (=> @t17 @t60)) % 35.04/35.29 (define @t62 () (forall @t9 @t61)) % 35.04/35.29 (define @t63 () (tptp.hd @t40)) % 35.04/35.29 (define @t64 () (=> @t6 (= @t63 @t1))) % 35.04/35.29 (define @t65 () (forall @t7 @t64)) % 35.04/35.29 (define @t66 () (=> @t17 @t65)) % 35.04/35.29 (define @t67 () (forall @t9 @t66)) % 35.04/35.29 (define @t68 () (tptp.tl @t2)) % 35.04/35.29 (define @t69 () (tptp.ssList @t68)) % 35.04/35.29 (define @t70 () (=> @t59 @t69)) % 35.04/35.29 (define @t71 () (=> @t17 @t70)) % 35.04/35.29 (define @t72 () (forall @t9 @t71)) % 35.04/35.29 (define @t73 () (tptp.tl @t40)) % 35.04/35.29 (define @t74 () (=> @t6 (= @t73 @t2))) % 35.04/35.29 (define @t75 () (forall @t7 @t74)) % 35.04/35.29 (define @t76 () (=> @t17 @t75)) % 35.04/35.29 (define @t77 () (forall @t9 @t76)) % 35.04/35.29 (define @t78 () (tptp.app @t2 @t1)) % 35.04/35.29 (define @t79 () (tptp.ssList @t78)) % 35.04/35.29 (define @t80 () (forall @t7 (=> @t21 @t79))) % 35.04/35.29 (define @t81 () (=> @t17 @t80)) % 35.04/35.29 (define @t82 () (forall @t9 @t81)) % 35.04/35.29 (define @t83 () (tptp.app @t1 @t2)) % 35.04/35.29 (define @t84 () (tptp.app tptp.nil @t2)) % 35.04/35.29 (define @t85 () (=> @t17 (= @t84 @t2))) % 35.04/35.29 (define @t86 () (forall @t9 @t85)) % 35.04/35.29 (define @t87 () (tptp.leq @t1 @t2)) % 35.04/35.29 (define @t88 () (tptp.leq @t2 @t1)) % 35.04/35.29 (define @t89 () (tptp.geq @t2 @t1)) % 35.04/35.29 (define @t90 () (tptp.lt @t1 @t2)) % 35.04/35.29 (define @t91 () (tptp.lt @t2 @t1)) % 35.04/35.29 (define @t92 () (tptp.lt @t2 @t12)) % 35.04/35.29 (define @t93 () (tptp.gt @t2 @t1)) % 35.04/35.29 (define @t94 () (tptp.memberP @t12 @t2)) % 35.04/35.29 (define @t95 () (tptp.app @t12 @t2)) % 35.04/35.29 (define @t96 () (tptp.cons @t2 tptp.nil)) % 35.04/35.29 (define @t97 () (tptp.hd @t1)) % 35.04/35.29 (define @t98 () (= tptp.nil @t1)) % 35.04/35.29 (define @t99 () (not @t98)) % 35.04/35.29 (define @t100 () (tptp.cons @t2 @t1)) % 35.04/35.29 (define @t101 () (tptp.tl @t1)) % 35.04/35.29 (define @t102 () (tptp.cons @t57 @t68)) % 35.04/35.29 (define @t103 () (=> @t59 (= @t102 @t2))) % 35.04/35.29 (define @t104 () (=> @t17 @t103)) % 35.04/35.29 (define @t105 () (forall @t9 @t104)) % 35.04/35.29 (define @t106 () (= @t12 @t2)) % 35.04/35.29 (define @t107 () (= @t22 @t78)) % 35.04/35.29 (define @t108 () (=> @t107 @t106)) % 35.04/35.29 (define @t109 () (=> @t15 @t108)) % 35.04/35.29 (define @t110 () (forall @t16 @t109)) % 35.04/35.29 (define @t111 () (=> @t21 @t110)) % 35.04/35.29 (define @t112 () (forall @t7 @t111)) % 35.04/35.29 (define @t113 () (=> @t17 @t112)) % 35.04/35.29 (define @t114 () (forall @t9 @t113)) % 35.04/35.29 (define @t115 () (and @t98 @t53)) % 35.04/35.29 (define @t116 () (= tptp.nil @t78)) % 35.04/35.29 (define @t117 () (= @t116 @t115)) % 35.04/35.29 (define @t118 () (=> @t21 @t117)) % 35.04/35.29 (define @t119 () (forall @t7 @t118)) % 35.04/35.29 (define @t120 () (=> @t17 @t119)) % 35.04/35.29 (define @t121 () (forall @t9 @t120)) % 35.04/35.29 (define @t122 () (tptp.hd @t78)) % 35.04/35.29 (define @t123 () (=> @t59 (= @t122 @t57))) % 35.04/35.29 (define @t124 () (=> @t21 @t123)) % 35.04/35.29 (define @t125 () (forall @t7 @t124)) % 35.04/35.29 (define @t126 () (=> @t17 @t125)) % 35.04/35.29 (define @t127 () (forall @t9 @t126)) % 35.04/35.29 (define @t128 () (= (tptp.tl @t78) (tptp.app @t68 @t1))) % 35.04/35.29 (define @t129 () (=> @t59 @t128)) % 35.04/35.29 (define @t130 () (=> @t21 @t129)) % 35.04/35.29 (define @t131 () (forall @t7 @t130)) % 35.04/35.29 (define @t132 () (=> @t17 @t131)) % 35.04/35.29 (define @t133 () (forall @t9 @t132)) % 35.04/35.29 (define @t134 () (tptp.neq @t1 tptp.nil)) % 35.04/35.29 (define @t135 () (not @t134)) % 35.04/35.29 (define @t136 () (or @t135 (tptp.neq @t10 tptp.nil))) % 35.04/35.29 (define @t137 () (@var "X2" $$unsorted)) % 35.04/35.29 (define @t138 () (@var "X1" $$unsorted)) % 35.04/35.29 (define @t139 () (tptp.cons @t138 tptp.nil)) % 35.04/35.29 (define @t140 () (tptp.app @t139 @t137)) % 35.04/35.29 (define @t141 () (tptp.ssList @t137)) % 35.04/35.29 (define @t142 () (and @t141 (= @t139 @t2) (= @t140 @t1))) % 35.04/35.29 (define @t143 () (@list @t137)) % 35.04/35.29 (define @t144 () (exists @t143 @t142)) % 35.04/35.29 (define @t145 () (tptp.ssItem @t138)) % 35.04/35.29 (define @t146 () (and @t145 @t144)) % 35.04/35.29 (define @t147 () (@list @t138)) % 35.04/35.29 (define @t148 () (exists @t147 @t146)) % 35.04/35.29 (define @t149 () (tptp.neq tptp.nil @t10)) % 35.04/35.29 (define @t150 () (tptp.app @t12 @t27)) % 35.04/35.29 (define @t151 () (tptp.tl @t10)) % 35.04/35.29 (define @t152 () (and @t30 (= @t151 @t27) (= @t150 @t28) @t149)) % 35.04/35.29 (define @t153 () (exists @t31 @t152)) % 35.04/35.29 (define @t154 () (= @t10 @t28)) % 35.04/35.29 (define @t155 () (not @t154)) % 35.04/35.29 (define @t156 () (and @t32 @t155 @t153)) % 35.04/35.29 (define @t157 () (exists @t33 @t156)) % 35.04/35.29 (define @t158 () (or @t135 @t157 @t148)) % 35.04/35.29 (define @t159 () (and @t158 @t136)) % 35.04/35.29 (define @t160 () (= @t2 @t12)) % 35.04/35.29 (define @t161 () (not @t160)) % 35.04/35.29 (define @t162 () (not (= @t1 @t10))) % 35.04/35.29 (define @t163 () (or @t162 @t161 @t159)) % 35.04/35.29 (define @t164 () (=> @t13 @t163)) % 35.04/35.29 (define @t165 () (forall @t14 @t164)) % 35.04/35.29 (define @t166 () (=> @t15 @t165)) % 35.04/35.29 (define @t167 () (forall @t16 @t166)) % 35.04/35.29 (define @t168 () (=> @t21 @t167)) % 35.04/35.29 (define @t169 () (forall @t7 @t168)) % 35.04/35.29 (define @t170 () (=> @t17 @t169)) % 35.04/35.29 (define @t171 () (forall @t9 @t170)) % 35.04/35.29 (define @t172 () (not @t171)) % 35.04/35.29 (define @t173 () (@var "BOUND_VARIABLE_9383" $$unsorted)) % 35.04/35.29 (define @t174 () (tptp.ssList (tptp.app @t2 @t173))) % 35.04/35.29 (define @t175 () (not (tptp.ssList @t173))) % 35.04/35.29 (define @t176 () (not @t17)) % 35.04/35.29 (define @t177 () (or @t175 @t174)) % 35.04/35.29 (define @t178 () (or @t176 @t177)) % 35.04/35.29 (define @t179 () (forall (@list @t2 @t173) @t178)) % 35.04/35.29 (define @t180 () (@list @t173)) % 35.04/35.29 (define @t181 () (forall @t180 @t178)) % 35.04/35.29 (define @t182 () (forall @t180 @t177)) % 35.04/35.29 (define @t183 () (@list @t1)) % 35.04/35.29 (define @t184 () (or @t176 @t182)) % 35.04/35.29 (define @t185 () (not @t21)) % 35.04/35.29 (define @t186 () (forall @t7 (or @t185 @t79))) % 35.04/35.29 (define @t187 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 35.04/35.29 (define @t188 () (tptp.tl @t187)) % 35.04/35.29 (define @t189 () (tptp.app @t2 @t188)) % 35.04/35.29 (define @t190 () (and (tptp.neq tptp.nil @t187) (tptp.ssList @t188) (tptp.ssList @t189) (not (= @t187 @t189)))) % 35.04/35.29 (define @t191 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 35.04/35.29 (define @t192 () (tptp.app @t139 @t191)) % 35.04/35.29 (define @t193 () (not (tptp.ssList @t191))) % 35.04/35.29 (define @t194 () (= @t2 @t139)) % 35.04/35.29 (define @t195 () (not @t194)) % 35.04/35.29 (define @t196 () (not @t145)) % 35.04/35.29 (define @t197 () (@list @t138 @t191)) % 35.04/35.29 (define @t198 () (not (tptp.neq @t187 tptp.nil))) % 35.04/35.29 (define @t199 () (not (tptp.ssList @t187))) % 35.04/35.29 (define @t200 () (@list @t2 @t187)) % 35.04/35.29 (define @t201 () (forall @t200 (or @t176 @t199 @t198 (not (forall @t197 (or @t196 @t195 @t193 (not (= @t192 @t187))))) @t190))) % 35.04/35.29 (define @t202 () (@quantifiers_skolemize @t201 1)) % 35.04/35.29 (define @t203 () (tptp.tl @t202)) % 35.04/35.29 (define @t204 () (@quantifiers_skolemize @t201 0)) % 35.04/35.29 (define @t205 () (@list @t204 @t203)) % 35.04/35.29 (define @t206 () (= @t2 tptp.nil)) % 35.04/35.29 (define @t207 () (or @t176 @t206 @t69)) % 35.04/35.29 (define @t208 () (not @t206)) % 35.04/35.29 (define @t209 () (not @t208)) % 35.04/35.29 (define @t210 () (=> @t208 @t69)) % 35.04/35.29 (define @t211 () (tptp.ssList @t203)) % 35.04/35.29 (define @t212 () (tptp.ssList @t202)) % 35.04/35.29 (define @t213 () (not @t212)) % 35.04/35.29 (define @t214 () (= @t202 tptp.nil)) % 35.04/35.29 (define @t215 () (or @t213 @t214 @t211)) % 35.04/35.29 (define @t216 () (forall @t9 @t207)) % 35.04/35.29 (define @t217 () (@list @t202)) % 35.04/35.29 (define @t218 () (= tptp.nil @t202)) % 35.04/35.29 (define @t219 () (or @t213 @t218 @t211)) % 35.04/35.29 (define @t220 () (@list false)) % 35.04/35.29 (define @t221 () (@var "BOUND_VARIABLE_9118" $$unsorted)) % 35.04/35.29 (define @t222 () (= (tptp.neq @t2 @t221) (not (= @t2 @t221)))) % 35.04/35.29 (define @t223 () (not (tptp.ssList @t221))) % 35.04/35.29 (define @t224 () (or @t176 @t223 @t222)) % 35.04/35.29 (define @t225 () (or @t223 @t222)) % 35.04/35.29 (define @t226 () (or @t176 @t225)) % 35.04/35.29 (define @t227 () (@list @t2 @t221)) % 35.04/35.29 (define @t228 () (forall @t227 @t226)) % 35.04/35.29 (define @t229 () (@list @t221)) % 35.04/35.29 (define @t230 () (forall @t229 @t226)) % 35.04/35.29 (define @t231 () (forall @t229 @t225)) % 35.04/35.29 (define @t232 () (or @t176 @t231)) % 35.04/35.29 (define @t233 () (forall @t7 (or @t185 @t5))) % 35.04/35.29 (define @t234 () (not @t214)) % 35.04/35.29 (define @t235 () (tptp.neq @t202 tptp.nil)) % 35.04/35.29 (define @t236 () (= @t235 @t234)) % 35.04/35.29 (define @t237 () (not @t41)) % 35.04/35.29 (define @t238 () (or @t213 @t237 @t236)) % 35.04/35.29 (define @t239 () (forall @t227 @t224)) % 35.04/35.29 (define @t240 () (not @t218)) % 35.04/35.29 (define @t241 () (= @t235 @t240)) % 35.04/35.29 (define @t242 () (or @t213 @t237 @t241)) % 35.04/35.29 (define @t243 () (not (= @t187 @t192))) % 35.04/35.29 (define @t244 () (or @t196 @t195 @t193 @t243)) % 35.04/35.29 (define @t245 () (forall @t197 @t244)) % 35.04/35.29 (define @t246 () (not @t245)) % 35.04/35.29 (define @t247 () (or @t176 @t199 @t198 @t246 @t190)) % 35.04/35.29 (define @t248 () (or @t199 @t198 @t246 @t190)) % 35.04/35.29 (define @t249 () (or @t176 @t248)) % 35.04/35.29 (define @t250 () (forall @t200 @t249)) % 35.04/35.29 (define @t251 () (@list @t187)) % 35.04/35.29 (define @t252 () (forall @t251 @t249)) % 35.04/35.29 (define @t253 () (forall @t251 @t248)) % 35.04/35.29 (define @t254 () (or @t176 @t253)) % 35.04/35.29 (define @t255 () (tptp.app @t2 @t101)) % 35.04/35.29 (define @t256 () (tptp.ssList @t101)) % 35.04/35.29 (define @t257 () (tptp.neq tptp.nil @t1)) % 35.04/35.29 (define @t258 () (and @t257 @t256 (tptp.ssList @t255) (not (= @t1 @t255)))) % 35.04/35.29 (define @t259 () (not (= @t1 @t192))) % 35.04/35.29 (define @t260 () (or @t196 @t195 @t193 @t259)) % 35.04/35.29 (define @t261 () (not (forall @t197 @t260))) % 35.04/35.29 (define @t262 () (or @t185 @t135 @t261 @t258)) % 35.04/35.29 (define @t263 () (or @t176 (forall @t7 @t262))) % 35.04/35.29 (define @t264 () (or @t176 @t262)) % 35.04/35.29 (define @t265 () (or @t185 @t135 @t261 @t176 @t258)) % 35.04/35.29 (define @t266 () (or @t176 @t258)) % 35.04/35.29 (define @t267 () (not (= @t2 @t2))) % 35.04/35.29 (define @t268 () (or @t176 @t267 @t258)) % 35.04/35.29 (define @t269 () (tptp.app @t12 @t101)) % 35.04/35.29 (define @t270 () (and @t257 @t256 (tptp.ssList @t269) (not (= @t1 @t269)))) % 35.04/35.29 (define @t271 () (not @t15)) % 35.04/35.29 (define @t272 () (or @t161 @t271 @t161 @t270)) % 35.04/35.29 (define @t273 () (or @t271 @t161 @t270)) % 35.04/35.29 (define @t274 () (forall @t16 @t273)) % 35.04/35.29 (define @t275 () (or @t185 @t135 @t261 @t274)) % 35.04/35.29 (define @t276 () (or @t185 @t135 @t261 @t273)) % 35.04/35.29 (define @t277 () (or @t271 @t161 @t185 @t135 @t270 @t261)) % 35.04/35.29 (define @t278 () (or @t135 @t270 @t261)) % 35.04/35.29 (define @t279 () (and @t278 true)) % 35.04/35.29 (define @t280 () (or @t271 @t161 @t185 @t279)) % 35.04/35.29 (define @t281 () (and @t278 (or @t135 @t134))) % 35.04/35.29 (define @t282 () (or @t161 @t185 @t281)) % 35.04/35.29 (define @t283 () (or @t185 @t281)) % 35.04/35.29 (define @t284 () (not (= @t1 @t1))) % 35.04/35.29 (define @t285 () (or @t185 @t284 @t281)) % 35.04/35.29 (define @t286 () (tptp.app @t12 @t151)) % 35.04/35.29 (define @t287 () (= @t10 @t286)) % 35.04/35.29 (define @t288 () (not @t287)) % 35.04/35.29 (define @t289 () (tptp.ssList @t286)) % 35.04/35.29 (define @t290 () (tptp.ssList @t151)) % 35.04/35.29 (define @t291 () (and (or @t135 (and @t149 @t290 @t289 @t288) @t261) @t136)) % 35.04/35.29 (define @t292 () (not @t13)) % 35.04/35.29 (define @t293 () (or @t162 @t292 @t162 @t291)) % 35.04/35.29 (define @t294 () (or @t292 @t162 @t291)) % 35.04/35.29 (define @t295 () (forall @t14 @t294)) % 35.04/35.29 (define @t296 () (or @t161 @t295)) % 35.04/35.29 (define @t297 () (or @t161 @t294)) % 35.04/35.29 (define @t298 () (or @t292 @t162 @t161 @t291)) % 35.04/35.29 (define @t299 () (not @t289)) % 35.04/35.29 (define @t300 () (not @t299)) % 35.04/35.29 (define @t301 () (not @t290)) % 35.04/35.29 (define @t302 () (not @t301)) % 35.04/35.29 (define @t303 () (not @t149)) % 35.04/35.29 (define @t304 () (not @t303)) % 35.04/35.29 (define @t305 () (and @t304 @t302 @t300 @t288)) % 35.04/35.29 (define @t306 () (or @t299 @t287)) % 35.04/35.29 (define @t307 () (or @t303 @t301 @t299 @t287)) % 35.04/35.29 (define @t308 () (or @t135 (not @t307) @t261)) % 35.04/35.29 (define @t309 () (and @t308 @t136)) % 35.04/35.29 (define @t310 () (or @t162 @t161 @t309)) % 35.04/35.29 (define @t311 () (or @t193 @t259)) % 35.04/35.29 (define @t312 () (or @t196 @t195 @t311)) % 35.04/35.29 (define @t313 () (forall @t197 @t312)) % 35.04/35.29 (define @t314 () (@list @t191)) % 35.04/35.29 (define @t315 () (forall @t314 @t312)) % 35.04/35.29 (define @t316 () (forall @t314 @t311)) % 35.04/35.29 (define @t317 () (or @t196 @t195 @t316)) % 35.04/35.29 (define @t318 () (= @t1 @t140)) % 35.04/35.29 (define @t319 () (not @t318)) % 35.04/35.29 (define @t320 () (not @t141)) % 35.04/35.29 (define @t321 () (or @t320 @t319)) % 35.04/35.29 (define @t322 () (forall @t143 @t321)) % 35.04/35.29 (define @t323 () (or @t196 @t195 @t322)) % 35.04/35.29 (define @t324 () (or @t195 @t322)) % 35.04/35.29 (define @t325 () (not @t324)) % 35.04/35.29 (define @t326 () (and @t145 @t325)) % 35.04/35.29 (define @t327 () (forall @t147 (not @t326))) % 35.04/35.29 (define @t328 () (not @t327)) % 35.04/35.29 (define @t329 () (or @t195 @t321)) % 35.04/35.29 (define @t330 () (or @t320 @t195 @t319)) % 35.04/35.29 (define @t331 () (and @t141 @t194 @t318)) % 35.04/35.29 (define @t332 () (forall @t143 (not @t331))) % 35.04/35.29 (define @t333 () (not @t332)) % 35.04/35.29 (define @t334 () (not (= @t286 @t286))) % 35.04/35.29 (define @t335 () (or @t299 @t287 @t334)) % 35.04/35.29 (define @t336 () (not (= @t28 @t286))) % 35.04/35.29 (define @t337 () (not @t32)) % 35.04/35.29 (define @t338 () (or @t336 @t337 @t154 @t336)) % 35.04/35.29 (define @t339 () (or @t337 @t154 @t336)) % 35.04/35.29 (define @t340 () (forall @t33 @t339)) % 35.04/35.29 (define @t341 () (or @t303 @t301 @t340)) % 35.04/35.29 (define @t342 () (or @t303 @t301 @t339)) % 35.04/35.29 (define @t343 () (or @t337 @t154 @t303 @t301 @t336)) % 35.04/35.29 (define @t344 () (or @t303 @t301 @t336)) % 35.04/35.29 (define @t345 () (not @t344)) % 35.04/35.29 (define @t346 () (not @t345)) % 35.04/35.29 (define @t347 () (not @t155)) % 35.04/35.29 (define @t348 () (or @t337 @t347 @t346)) % 35.04/35.29 (define @t349 () (and @t32 @t155 @t345)) % 35.04/35.29 (define @t350 () (forall @t33 (not @t349))) % 35.04/35.29 (define @t351 () (not @t350)) % 35.04/35.29 (define @t352 () (or @t301 @t336)) % 35.04/35.29 (define @t353 () (not (= @t151 @t151))) % 35.04/35.29 (define @t354 () (or @t301 @t353 @t336)) % 35.04/35.29 (define @t355 () (= @t28 @t150)) % 35.04/35.29 (define @t356 () (not @t355)) % 35.04/35.29 (define @t357 () (= @t27 @t151)) % 35.04/35.29 (define @t358 () (not @t357)) % 35.04/35.29 (define @t359 () (not @t30)) % 35.04/35.29 (define @t360 () (or @t358 @t359 @t358 @t356)) % 35.04/35.29 (define @t361 () (or @t359 @t358 @t356)) % 35.04/35.29 (define @t362 () (forall @t31 @t361)) % 35.04/35.29 (define @t363 () (or @t303 @t362)) % 35.04/35.29 (define @t364 () (or @t303 @t361)) % 35.04/35.29 (define @t365 () (or @t359 @t358 @t356 @t303)) % 35.04/35.29 (define @t366 () (and @t30 @t357 @t355 @t149)) % 35.04/35.29 (define @t367 () (forall @t31 (not @t366))) % 35.04/35.29 (define @t368 () (not @t367)) % 35.04/35.29 (define @t369 () (tptp.app @t204 @t203)) % 35.04/35.29 (define @t370 () (= @t202 @t369)) % 35.04/35.29 (define @t371 () (not @t370)) % 35.04/35.29 (define @t372 () (tptp.ssList @t369)) % 35.04/35.29 (define @t373 () (tptp.neq tptp.nil @t202)) % 35.04/35.29 (define @t374 () (and @t373 @t211 @t372 @t371)) % 35.04/35.29 (define @t375 () (not (= @t192 @t202))) % 35.04/35.29 (define @t376 () (forall @t197 (or @t196 (not (= @t139 @t204)) @t193 @t375))) % 35.04/35.29 (define @t377 () (not @t376)) % 35.04/35.29 (define @t378 () (not @t235)) % 35.04/35.29 (define @t379 () (tptp.ssList @t204)) % 35.04/35.29 (define @t380 () (not @t379)) % 35.04/35.29 (define @t381 () (or @t380 @t213 @t378 @t377 @t374)) % 35.04/35.29 (define @t382 () (not @t381)) % 35.04/35.29 (define @t383 () (not @t201)) % 35.04/35.29 (define @t384 () (not (= @t204 @t139))) % 35.04/35.29 (define @t385 () (or @t196 @t384 @t193 @t375)) % 35.04/35.29 (define @t386 () (forall @t197 @t385)) % 35.04/35.29 (define @t387 () (not @t386)) % 35.04/35.29 (define @t388 () (or @t380 @t213 @t378 @t387 @t374)) % 35.04/35.29 (define @t389 () (not @t388)) % 35.04/35.29 (define @t390 () (@list true)) % 35.04/35.29 (define @t391 () (@list @t381)) % 35.04/35.29 (define @t392 () (@list false false false)) % 35.04/35.29 (define @t393 () (@list false false)) % 35.04/35.29 (define @t394 () (@list false true false)) % 35.04/35.29 (define @t395 () (not @t211)) % 35.04/35.29 (define @t396 () (or @t380 @t395 @t372)) % 35.04/35.29 (define @t397 () (= @t373 @t240)) % 35.04/35.29 (define @t398 () (or @t237 @t213 @t397)) % 35.04/35.29 (define @t399 () (not @t397)) % 35.04/35.29 (define @t400 () (@list true false)) % 35.04/35.29 (define @t401 () (not @t372)) % 35.04/35.29 (define @t402 () (not @t373)) % 35.04/35.29 (define @t403 () (= @t2 @t84)) % 35.04/35.29 (define @t404 () (@list @t203)) % 35.04/35.29 (define @t405 () (tptp.app tptp.nil @t203)) % 35.04/35.29 (define @t406 () (= @t203 @t405)) % 35.04/35.29 (define @t407 () (or @t395 @t406)) % 35.04/35.29 (define @t408 () (@var "BOUND_VARIABLE_9276" $$unsorted)) % 35.04/35.29 (define @t409 () (tptp.cons @t408 @t1)) % 35.04/35.29 (define @t410 () (not (= @t2 @t409))) % 35.04/35.29 (define @t411 () (not (tptp.ssItem @t408))) % 35.04/35.29 (define @t412 () (or @t185 @t411 @t410)) % 35.04/35.29 (define @t413 () (@list @t1 @t408)) % 35.04/35.29 (define @t414 () (not (forall @t413 @t412))) % 35.04/35.29 (define @t415 () (or @t176 @t206 @t414)) % 35.04/35.29 (define @t416 () (or @t206 @t414)) % 35.04/35.29 (define @t417 () (or @t411 @t410)) % 35.04/35.29 (define @t418 () (or @t185 @t417)) % 35.04/35.29 (define @t419 () (forall @t413 @t418)) % 35.04/35.29 (define @t420 () (@list @t408)) % 35.04/35.29 (define @t421 () (forall @t420 @t418)) % 35.04/35.29 (define @t422 () (forall @t420 @t417)) % 35.04/35.29 (define @t423 () (@list @t12)) % 35.04/35.29 (define @t424 () (or @t185 @t422)) % 35.04/35.29 (define @t425 () (= @t2 @t48)) % 35.04/35.29 (define @t426 () (forall @t16 (or (not @t34) (not @t425)))) % 35.04/35.29 (define @t427 () (not @t426)) % 35.04/35.29 (define @t428 () (and @t21 @t427)) % 35.04/35.29 (define @t429 () (forall @t7 (not @t428))) % 35.04/35.29 (define @t430 () (not @t429)) % 35.04/35.29 (define @t431 () (and @t34 @t425)) % 35.04/35.29 (define @t432 () (forall @t16 (not @t431))) % 35.04/35.29 (define @t433 () (not @t432)) % 35.04/35.29 (define @t434 () (not (= @t204 @t409))) % 35.04/35.29 (define @t435 () (or @t185 @t411 @t434)) % 35.04/35.29 (define @t436 () (forall @t413 @t435)) % 35.04/35.29 (define @t437 () (not @t436)) % 35.04/35.29 (define @t438 () (= @t204 tptp.nil)) % 35.04/35.29 (define @t439 () (or @t380 @t438 @t437)) % 35.04/35.29 (define @t440 () (forall @t9 @t415)) % 35.04/35.29 (define @t441 () (forall @t413 (or @t185 @t411 (not (= @t409 @t204))))) % 35.04/35.29 (define @t442 () (not @t441)) % 35.04/35.29 (define @t443 () (= tptp.nil @t204)) % 35.04/35.29 (define @t444 () (or @t380 @t443 @t442)) % 35.04/35.29 (define @t445 () (@var "BOUND_VARIABLE_10651" $$unsorted)) % 35.04/35.29 (define @t446 () (= @t57 (tptp.hd (tptp.app @t2 @t445)))) % 35.04/35.29 (define @t447 () (not (tptp.ssList @t445))) % 35.04/35.29 (define @t448 () (or @t176 @t206 @t447 @t446)) % 35.04/35.29 (define @t449 () (or @t447 @t446)) % 35.04/35.29 (define @t450 () (or @t176 @t206 @t449)) % 35.04/35.29 (define @t451 () (@list @t2 @t445)) % 35.04/35.29 (define @t452 () (forall @t451 @t450)) % 35.04/35.29 (define @t453 () (@list @t445)) % 35.04/35.29 (define @t454 () (forall @t453 @t450)) % 35.04/35.29 (define @t455 () (forall @t453 @t449)) % 35.04/35.29 (define @t456 () (or @t176 @t206 @t455)) % 35.04/35.29 (define @t457 () (= @t57 @t122)) % 35.04/35.29 (define @t458 () (or @t185 @t457)) % 35.04/35.29 (define @t459 () (forall @t7 @t458)) % 35.04/35.29 (define @t460 () (or @t176 @t206 @t459)) % 35.04/35.29 (define @t461 () (or @t206 @t459)) % 35.04/35.29 (define @t462 () (or @t206 @t458)) % 35.04/35.29 (define @t463 () (or @t185 @t206 @t457)) % 35.04/35.29 (define @t464 () (=> @t208 @t457)) % 35.04/35.29 (define @t465 () (tptp.hd @t369)) % 35.04/35.29 (define @t466 () (= (tptp.hd @t204) @t465)) % 35.04/35.29 (define @t467 () (or @t380 @t438 @t395 @t466)) % 35.04/35.29 (define @t468 () (forall @t451 @t448)) % 35.04/35.29 (define @t469 () (or @t380 @t443 @t395 @t466)) % 35.04/35.29 (define @t470 () (@var "BOUND_VARIABLE_10678" $$unsorted)) % 35.04/35.29 (define @t471 () (= (tptp.tl (tptp.app @t2 @t470)) (tptp.app @t68 @t470))) % 35.04/35.29 (define @t472 () (not (tptp.ssList @t470))) % 35.04/35.29 (define @t473 () (or @t176 @t206 @t472 @t471)) % 35.04/35.29 (define @t474 () (or @t472 @t471)) % 35.04/35.29 (define @t475 () (or @t176 @t206 @t474)) % 35.04/35.29 (define @t476 () (@list @t2 @t470)) % 35.04/35.29 (define @t477 () (forall @t476 @t475)) % 35.04/35.29 (define @t478 () (@list @t470)) % 35.04/35.29 (define @t479 () (forall @t478 @t475)) % 35.04/35.29 (define @t480 () (forall @t478 @t474)) % 35.04/35.29 (define @t481 () (or @t176 @t206 @t480)) % 35.04/35.29 (define @t482 () (or @t185 @t128)) % 35.04/35.29 (define @t483 () (forall @t7 @t482)) % 35.04/35.29 (define @t484 () (or @t176 @t206 @t483)) % 35.04/35.29 (define @t485 () (or @t206 @t483)) % 35.04/35.29 (define @t486 () (or @t206 @t482)) % 35.04/35.29 (define @t487 () (or @t185 @t206 @t128)) % 35.04/35.29 (define @t488 () (=> @t208 @t128)) % 35.04/35.29 (define @t489 () (tptp.tl @t204)) % 35.04/35.29 (define @t490 () (tptp.app @t489 @t203)) % 35.04/35.29 (define @t491 () (= (tptp.tl @t369) @t490)) % 35.04/35.29 (define @t492 () (or @t380 @t438 @t395 @t491)) % 35.04/35.29 (define @t493 () (forall @t476 @t473)) % 35.04/35.29 (define @t494 () (or @t380 @t443 @t395 @t491)) % 35.04/35.29 (define @t495 () (@quantifiers_skolemize @t441 0)) % 35.04/35.29 (define @t496 () (@quantifiers_skolemize @t441 1)) % 35.04/35.29 (define @t497 () (tptp.cons @t496 @t495)) % 35.04/35.29 (define @t498 () (= @t204 @t497)) % 35.04/35.29 (define @t499 () (not @t498)) % 35.04/35.29 (define @t500 () (tptp.ssItem @t496)) % 35.04/35.29 (define @t501 () (not @t500)) % 35.04/35.29 (define @t502 () (tptp.ssList @t495)) % 35.04/35.29 (define @t503 () (not @t502)) % 35.04/35.29 (define @t504 () (or @t503 @t501 @t499)) % 35.04/35.29 (define @t505 () (not @t504)) % 35.04/35.29 (define @t506 () (not (= @t497 @t204))) % 35.04/35.29 (define @t507 () (or @t503 @t501 @t506)) % 35.04/35.29 (define @t508 () (not @t507)) % 35.04/35.29 (define @t509 () (@var "BOUND_VARIABLE_9333" $$unsorted)) % 35.04/35.29 (define @t510 () (= @t509 (tptp.hd (tptp.cons @t509 @t2)))) % 35.04/35.29 (define @t511 () (not (tptp.ssItem @t509))) % 35.04/35.29 (define @t512 () (or @t511 @t510)) % 35.04/35.29 (define @t513 () (or @t176 @t512)) % 35.04/35.29 (define @t514 () (forall (@list @t2 @t509) @t513)) % 35.04/35.29 (define @t515 () (@list @t509)) % 35.04/35.29 (define @t516 () (forall @t515 @t513)) % 35.04/35.29 (define @t517 () (forall @t515 @t512)) % 35.04/35.29 (define @t518 () (or @t176 @t517)) % 35.04/35.29 (define @t519 () (= @t1 @t63)) % 35.04/35.29 (define @t520 () (not @t6)) % 35.04/35.29 (define @t521 () (forall @t7 (or @t520 @t519))) % 35.04/35.29 (define @t522 () (@list @t495 @t496)) % 35.04/35.29 (define @t523 () (tptp.hd @t497)) % 35.04/35.29 (define @t524 () (= @t496 @t523)) % 35.04/35.29 (define @t525 () (or @t503 @t501 @t524)) % 35.04/35.29 (define @t526 () (@var "BOUND_VARIABLE_9363" $$unsorted)) % 35.04/35.29 (define @t527 () (= @t2 (tptp.tl (tptp.cons @t526 @t2)))) % 35.04/35.29 (define @t528 () (not (tptp.ssItem @t526))) % 35.04/35.29 (define @t529 () (or @t528 @t527)) % 35.04/35.29 (define @t530 () (or @t176 @t529)) % 35.04/35.29 (define @t531 () (forall (@list @t2 @t526) @t530)) % 35.04/35.29 (define @t532 () (@list @t526)) % 35.04/35.29 (define @t533 () (forall @t532 @t530)) % 35.04/35.29 (define @t534 () (forall @t532 @t529)) % 35.04/35.29 (define @t535 () (or @t176 @t534)) % 35.04/35.29 (define @t536 () (= @t2 @t73)) % 35.04/35.29 (define @t537 () (forall @t7 (or @t520 @t536))) % 35.04/35.29 (define @t538 () (= @t495 (tptp.tl @t497))) % 35.04/35.29 (define @t539 () (or @t503 @t501 @t538)) % 35.04/35.29 (define @t540 () (= @t405 (tptp.app @t495 @t203))) % 35.04/35.29 (define @t541 () (and @t370 @t406 @t491 @t498 @t538)) % 35.04/35.29 (define @t542 () (@var "BOUND_VARIABLE_10466" $$unsorted)) % 35.04/35.29 (define @t543 () (= @t2 @t542)) % 35.04/35.29 (define @t544 () (@var "BOUND_VARIABLE_10464" $$unsorted)) % 35.04/35.29 (define @t545 () (not (= (tptp.app @t2 @t544) (tptp.app @t542 @t544)))) % 35.04/35.29 (define @t546 () (not (tptp.ssList @t542))) % 35.04/35.29 (define @t547 () (not (tptp.ssList @t544))) % 35.04/35.29 (define @t548 () (or @t547 @t546 @t545 @t543)) % 35.04/35.29 (define @t549 () (or @t176 @t548)) % 35.04/35.29 (define @t550 () (forall (@list @t2 @t544 @t542) @t549)) % 35.04/35.29 (define @t551 () (@list @t544 @t542)) % 35.04/35.29 (define @t552 () (forall @t551 @t549)) % 35.04/35.29 (define @t553 () (forall @t551 @t548)) % 35.04/35.29 (define @t554 () (@var "BOUND_VARIABLE_10443" $$unsorted)) % 35.04/35.29 (define @t555 () (or @t176 @t553)) % 35.04/35.29 (define @t556 () (= @t2 @t554)) % 35.04/35.29 (define @t557 () (tptp.app @t554 @t1)) % 35.04/35.29 (define @t558 () (not (tptp.ssList @t554))) % 35.04/35.29 (define @t559 () (@list @t1 @t554)) % 35.04/35.29 (define @t560 () (forall @t559 (or @t185 @t558 (not (= @t78 @t557)) @t556))) % 35.04/35.29 (define @t561 () (not (= @t557 @t78))) % 35.04/35.29 (define @t562 () (or @t185 @t558 @t561 @t556)) % 35.04/35.29 (define @t563 () (or @t558 @t561 @t556)) % 35.04/35.29 (define @t564 () (or @t185 @t563)) % 35.04/35.29 (define @t565 () (forall @t559 @t564)) % 35.04/35.29 (define @t566 () (@list @t554)) % 35.04/35.29 (define @t567 () (forall @t566 @t564)) % 35.04/35.29 (define @t568 () (forall @t566 @t563)) % 35.04/35.29 (define @t569 () (or @t185 @t568)) % 35.04/35.29 (define @t570 () (not @t107)) % 35.04/35.29 (define @t571 () (or @t271 @t570 @t160)) % 35.04/35.29 (define @t572 () (forall @t16 @t571)) % 35.04/35.29 (define @t573 () (=> @t107 @t160)) % 35.04/35.29 (define @t574 () (= tptp.nil @t495)) % 35.04/35.29 (define @t575 () (not @t540)) % 35.04/35.29 (define @t576 () (or @t237 @t395 @t503 @t575 @t574)) % 35.04/35.29 (define @t577 () (forall @t7 (or @t520 (not (= @t18 @t204))))) % 35.04/35.29 (define @t578 () (@quantifiers_skolemize @t577 0)) % 35.04/35.29 (define @t579 () (tptp.ssItem @t578)) % 35.04/35.29 (define @t580 () (tptp.cons @t578 tptp.nil)) % 35.04/35.29 (define @t581 () (= @t204 @t580)) % 35.04/35.29 (define @t582 () (not @t581)) % 35.04/35.29 (define @t583 () (not @t579)) % 35.04/35.29 (define @t584 () (or @t583 @t582)) % 35.04/35.29 (define @t585 () (tptp.app @t580 @t203)) % 35.04/35.29 (define @t586 () (not (= @t585 @t202))) % 35.04/35.29 (define @t587 () (not (= @t580 @t204))) % 35.04/35.29 (define @t588 () (or @t583 @t587 @t395 @t586)) % 35.04/35.29 (define @t589 () (= @t202 @t585)) % 35.04/35.29 (define @t590 () (not @t589)) % 35.04/35.29 (define @t591 () (or @t583 @t582 @t395 @t590)) % 35.04/35.29 (define @t592 () (and @t370 @t581)) % 35.04/35.29 (define @t593 () (not @t584)) % 35.04/35.29 (define @t594 () (not @t577)) % 35.04/35.29 (define @t595 () (or @t583 @t587)) % 35.04/35.29 (define @t596 () (not @t595)) % 35.04/35.29 (define @t597 () (tptp.hd @t202)) % 35.04/35.29 (define @t598 () (tptp.cons @t597 tptp.nil)) % 35.04/35.29 (define @t599 () (not (= @t598 @t204))) % 35.04/35.29 (define @t600 () (tptp.ssItem @t597)) % 35.04/35.29 (define @t601 () (not @t600)) % 35.04/35.29 (define @t602 () (or @t601 @t599)) % 35.04/35.29 (define @t603 () (= @t204 @t598)) % 35.04/35.29 (define @t604 () (not @t603)) % 35.04/35.29 (define @t605 () (or @t601 @t604)) % 35.04/35.29 (define @t606 () (or @t176 @t206 @t58)) % 35.04/35.29 (define @t607 () (=> @t208 @t58)) % 35.04/35.29 (define @t608 () (or @t213 @t214 @t600)) % 35.04/35.29 (define @t609 () (forall @t9 @t606)) % 35.04/35.29 (define @t610 () (or @t213 @t218 @t600)) % 35.04/35.29 (define @t611 () (@list @t609)) % 35.04/35.29 (define @t612 () (and @t370 @t466 @t498 @t524 @t574)) % 35.04/35.29 (define @t613 () (= @t2 @t102)) % 35.04/35.29 (define @t614 () (or @t176 @t206 @t613)) % 35.04/35.29 (define @t615 () (=> @t208 @t613)) % 35.04/35.29 (define @t616 () (tptp.tl @t203)) % 35.04/35.29 (define @t617 () (tptp.hd @t203)) % 35.04/35.29 (define @t618 () (tptp.cons @t617 @t616)) % 35.04/35.29 (define @t619 () (= @t203 @t618)) % 35.04/35.29 (define @t620 () (= @t203 tptp.nil)) % 35.04/35.29 (define @t621 () (or @t395 @t620 @t619)) % 35.04/35.29 (define @t622 () (forall @t9 @t614)) % 35.04/35.29 (define @t623 () (= tptp.nil @t203)) % 35.04/35.29 (define @t624 () (or @t395 @t623 @t619)) % 35.04/35.29 (define @t625 () (@var "BOUND_VARIABLE_10611" $$unsorted)) % 35.04/35.29 (define @t626 () (and (= @t625 tptp.nil) @t206)) % 35.04/35.29 (define @t627 () (= tptp.nil (tptp.app @t2 @t625))) % 35.04/35.29 (define @t628 () (= @t627 @t626)) % 35.04/35.29 (define @t629 () (not (tptp.ssList @t625))) % 35.04/35.29 (define @t630 () (or @t176 @t629 @t628)) % 35.04/35.29 (define @t631 () (or @t629 @t628)) % 35.04/35.29 (define @t632 () (or @t176 @t631)) % 35.04/35.29 (define @t633 () (@list @t2 @t625)) % 35.04/35.29 (define @t634 () (forall @t633 @t632)) % 35.04/35.29 (define @t635 () (@list @t625)) % 35.04/35.29 (define @t636 () (forall @t635 @t632)) % 35.04/35.29 (define @t637 () (forall @t635 @t631)) % 35.04/35.29 (define @t638 () (or @t176 @t637)) % 35.04/35.29 (define @t639 () (= @t116 (and (= @t1 tptp.nil) @t206))) % 35.04/35.29 (define @t640 () (forall @t7 (or @t185 @t639))) % 35.04/35.29 (define @t641 () (and @t623 @t438)) % 35.04/35.29 (define @t642 () (= tptp.nil @t369)) % 35.04/35.29 (define @t643 () (= @t642 @t641)) % 35.04/35.29 (define @t644 () (or @t380 @t395 @t643)) % 35.04/35.29 (define @t645 () (forall @t633 (or @t176 @t629 (= @t627 (and (= tptp.nil @t625) @t206))))) % 35.04/35.29 (define @t646 () (and @t623 @t443)) % 35.04/35.29 (define @t647 () (= @t642 @t646)) % 35.04/35.29 (define @t648 () (or @t380 @t395 @t647)) % 35.04/35.29 (define @t649 () (not @t646)) % 35.04/35.29 (define @t650 () (@var "BOUND_VARIABLE_9162" $$unsorted)) % 35.04/35.29 (define @t651 () (not (= @t2 (tptp.cons @t650 @t2)))) % 35.04/35.29 (define @t652 () (not (tptp.ssItem @t650))) % 35.04/35.29 (define @t653 () (or @t652 @t651)) % 35.04/35.29 (define @t654 () (or @t176 @t653)) % 35.04/35.29 (define @t655 () (forall (@list @t2 @t650) @t654)) % 35.04/35.29 (define @t656 () (@list @t650)) % 35.04/35.29 (define @t657 () (forall @t656 @t654)) % 35.04/35.29 (define @t658 () (forall @t656 @t653)) % 35.04/35.29 (define @t659 () (or @t176 @t658)) % 35.04/35.29 (define @t660 () (not (= @t2 @t40))) % 35.04/35.29 (define @t661 () (forall @t7 (or @t520 @t660))) % 35.04/35.29 (define @t662 () (tptp.ssItem @t617)) % 35.04/35.29 (define @t663 () (or @t395 @t620 @t662)) % 35.04/35.29 (define @t664 () (or @t395 @t623 @t662)) % 35.04/35.29 (define @t665 () (= @t202 (tptp.cons @t617 @t202))) % 35.04/35.29 (define @t666 () (not @t665)) % 35.04/35.29 (define @t667 () (not @t662)) % 35.04/35.29 (define @t668 () (or @t213 @t667 @t666)) % 35.04/35.29 (define @t669 () (and @t370 @t443 @t406 @t619)) % 35.04/35.29 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 35.04/35.29 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 35.04/35.29 (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))))))))))) % 35.04/35.29 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 35.04/35.29 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 35.04/35.29 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 35.04/35.29 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 35.04/35.29 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 35.04/35.29 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 35.04/35.29 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 35.04/35.29 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 35.04/35.29 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 35.04/35.29 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 35.04/35.29 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 35.04/35.29 (assume @p15 @t39) % 35.04/35.29 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 35.04/35.29 (assume @p17 @t41) % 35.04/35.29 (assume @p18 @t46) % 35.04/35.29 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t47))))))))))) % 35.04/35.29 (assume @p20 @t56) % 35.04/35.29 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 35.04/35.29 (assume @p22 @t62) % 35.04/35.29 (assume @p23 @t67) % 35.04/35.29 (assume @p24 @t72) % 35.04/35.29 (assume @p25 @t77) % 35.04/35.29 (assume @p26 @t82) % 35.04/35.29 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t83) (tptp.app @t48 @t2))))))))) % 35.04/35.29 (assume @p28 @t86) % 35.04/35.29 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t88 @t87) @t3)))))) % 35.04/35.29 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t88 @t26) (tptp.leq @t2 @t12))))))))) % 35.04/35.29 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 35.04/35.29 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t89 @t87)))))) % 35.04/35.29 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t91 (not @t90))))))) % 35.04/35.29 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t91 @t35) @t92)))))))) % 35.04/35.29 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t93 @t90)))))) % 35.04/35.29 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t94))))))))) % 35.04/35.29 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t94))))))))) % 35.04/35.29 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 35.04/35.29 (assume @p39 (not (tptp.singletonP tptp.nil))) % 35.04/35.29 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 35.04/35.29 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 35.04/35.29 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 35.04/35.29 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 35.04/35.29 (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)))))))))))) % 35.04/35.29 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 35.04/35.29 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t53)))) % 35.04/35.29 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 35.04/35.29 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 35.04/35.29 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 35.04/35.29 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t95 @t1))))))))) % 35.04/35.29 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 35.04/35.29 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t53)))) % 35.04/35.29 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 35.04/35.29 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 35.04/35.29 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 35.04/35.29 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t95 @t10) @t1))))))))))) % 35.04/35.29 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 35.04/35.29 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t53)))) % 35.04/35.29 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t96)))) % 35.04/35.29 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 35.04/35.29 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t96)))) % 35.04/35.29 (assume @p62 (tptp.totalorderP tptp.nil)) % 35.04/35.29 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t96)))) % 35.04/35.29 (assume @p64 (tptp.strictorderP tptp.nil)) % 35.04/35.29 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t96)))) % 35.04/35.29 (assume @p66 (tptp.totalorderedP tptp.nil)) % 35.04/35.29 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t100) (or @t98 (and @t99 (tptp.totalorderedP @t1) (tptp.leq @t2 @t97))))))))) % 35.04/35.29 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t96)))) % 35.04/35.29 (assume @p69 (tptp.strictorderedP tptp.nil)) % 35.04/35.29 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t100) (or @t98 (and @t99 (tptp.strictorderedP @t1) (tptp.lt @t2 @t97))))))))) % 35.04/35.29 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t96)))) % 35.04/35.29 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 35.04/35.29 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t96)))) % 35.04/35.29 (assume @p74 (tptp.equalelemsP tptp.nil)) % 35.04/35.29 (assume @p75 (forall @t9 (=> @t17 (=> @t59 (exists @t7 (and @t6 (= @t57 @t1))))))) % 35.04/35.29 (assume @p76 (forall @t9 (=> @t17 (=> @t59 (exists @t7 (and @t21 (= @t68 @t1))))))) % 35.04/35.29 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t99 @t59 (= @t97 @t57) (= @t101 @t68)) @t47)))))) % 35.04/35.29 (assume @p78 @t105) % 35.04/35.29 (assume @p79 @t114) % 35.04/35.29 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t83) @t106)))))))) % 35.04/35.29 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 35.04/35.29 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t78 @t12) (tptp.app @t2 @t19))))))))) % 35.04/35.29 (assume @p83 @t121) % 35.04/35.29 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 35.04/35.29 (assume @p85 @t127) % 35.04/35.29 (assume @p86 @t133) % 35.04/35.29 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t89 (tptp.geq @t1 @t2)) @t3)))))) % 35.04/35.29 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t89 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 35.04/35.29 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 35.04/35.29 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 35.04/35.29 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t88 @t35) @t92)))))))) % 35.04/35.29 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t88 (or @t3 @t91))))))) % 35.04/35.29 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t91 (and @t4 @t88))))))) % 35.04/35.29 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t93 (not (tptp.gt @t1 @t2)))))))) % 35.04/35.29 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t93 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 35.04/35.29 (assume @p96 @t172) % 35.04/35.29 (assume @p97 true) % 35.04/35.29 (step @p98 :rule aci_norm :args ((= @t178 (or @t176 @t175 @t174)))) % 35.04/35.29 (step @p99 :rule cong :premises (@p98) :args (@t179)) % 35.04/35.29 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t181) @t179))) % 35.04/35.29 (step @p101 :rule alpha_equiv :args (@t182 (@list @t173) @t183)) % 35.04/35.29 (step @p102 :rule refl :args (@t176)) % 35.04/35.29 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t184)) % 35.04/35.29 (step @p104 :rule quant-miniscope-or :args ((= @t181 @t184))) % 35.04/35.29 (step @p105 :rule trans :premises (@p104 @p103)) % 35.04/35.29 (step @p106 :rule symm :premises (@p105)) % 35.04/35.29 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t176 @t186)))) % 35.04/35.29 (step @p108 :rule trans :premises (@p107 @p100)) % 35.04/35.29 (step @p109 :rule trans :premises (@p108 @p99)) % 35.04/35.29 (step @p110 :rule bool-impl-elim :args (@t17 @t186)) % 35.04/35.29 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t17 @t186)))) % 35.04/35.29 (step @p112 :rule trans :premises (@p111 @p109)) % 35.04/35.29 (step @p113 :rule bool-impl-elim :args (@t21 @t79)) % 35.04/35.29 (step @p114 :rule cong :premises (@p113) :args (@t80)) % 35.04/35.29 (step @p115 :rule refl :args (@t17)) % 35.04/35.29 (step @p116 :rule cong :premises (@p115 @p114) :args (@t81)) % 35.04/35.29 (step @p117 :rule cong :premises (@p116) :args (@t82)) % 35.04/35.29 (step @p118 :rule trans :premises (@p117 @p112)) % 35.04/35.29 (step @p119 :rule eq_resolve :premises (@p26 @p118)) % 35.04/35.29 (step @p120 :rule instantiate :premises (@p119) :args (@t205)) % 35.04/35.29 (step @p121 :rule aci_norm :args ((= (or @t176 (or @t206 @t69)) @t207))) % 35.04/35.29 (step @p122 :rule refl :args (@t69)) % 35.04/35.29 (step @p123 :rule bool-double-not-elim :args (@t206)) % 35.04/35.29 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t209 @t69))) % 35.04/35.29 (step @p125 :rule bool-impl-elim :args (@t208 @t69)) % 35.04/35.29 (step @p126 :rule trans :premises (@p125 @p124)) % 35.04/35.29 (step @p127 :rule nary_cong :premises (@p102 @p126) :args ((or @t176 @t210))) % 35.04/35.29 (step @p128 :rule trans :premises (@p127 @p121)) % 35.04/35.29 (step @p129 :rule bool-impl-elim :args (@t17 @t210)) % 35.04/35.29 (step @p130 :rule trans :premises (@p129 @p128)) % 35.04/35.29 (step @p131 :rule cong :premises (@p130) :args ((forall @t9 (=> @t17 @t210)))) % 35.04/35.29 (step @p132 :rule refl :args (@t69)) % 35.04/35.29 (step @p133 :rule eq-symm :args (tptp.nil @t2)) % 35.04/35.29 (step @p134 :rule cong :premises (@p133) :args (@t59)) % 35.04/35.29 (step @p135 :rule cong :premises (@p134 @p132) :args (@t70)) % 35.04/35.29 (step @p136 :rule cong :premises (@p115 @p135) :args (@t71)) % 35.04/35.29 (step @p137 :rule cong :premises (@p136) :args (@t72)) % 35.04/35.29 (step @p138 :rule trans :premises (@p137 @p131)) % 35.04/35.29 (step @p139 :rule eq_resolve :premises (@p24 @p138)) % 35.04/35.29 (step @p140 :rule refl :args (@t211)) % 35.04/35.29 (step @p141 :rule eq-symm :args (@t202 tptp.nil)) % 35.04/35.29 (step @p142 :rule refl :args (@t213)) % 35.04/35.29 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args (@t215)) % 35.04/35.29 (step @p144 :rule refl :args (@t216)) % 35.04/35.29 (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t216 @t215))) % 35.04/35.29 (assume-push @p1249 @t216) % 35.04/35.29 (step @p147 :rule instantiate :premises (@p139) :args (@t217)) % 35.04/35.29 (step-pop @p1250 :rule scope :premises (@p147)) % 35.04/35.29 (step @p148 :rule process_scope :premises (@p1250) :args (@t215)) % 35.04/35.29 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 35.04/35.29 (step @p151 :rule implies_elim :premises (@p150)) % 35.04/35.29 (step @p152 :rule chain_m_resolution :premises (@p151 @p139) :args (@t219 @t220 (@list @t216))) % 35.04/35.29 (step @p153 :rule aci_norm :args ((= @t226 @t224))) % 35.04/35.29 (step @p154 :rule cong :premises (@p153) :args (@t228)) % 35.04/35.29 (step @p155 :rule quant-merge-prenex :args ((= (forall @t9 @t230) @t228))) % 35.04/35.29 (step @p156 :rule alpha_equiv :args (@t231 (@list @t221) @t183)) % 35.04/35.29 (step @p157 :rule nary_cong :premises (@p102 @p156) :args (@t232)) % 35.04/35.29 (step @p158 :rule quant-miniscope-or :args ((= @t230 @t232))) % 35.04/35.29 (step @p159 :rule trans :premises (@p158 @p157)) % 35.04/35.29 (step @p160 :rule symm :premises (@p159)) % 35.04/35.29 (step @p161 :rule cong :premises (@p160) :args ((forall @t9 (or @t176 @t233)))) % 35.04/35.29 (step @p162 :rule trans :premises (@p161 @p155)) % 35.04/35.29 (step @p163 :rule trans :premises (@p162 @p154)) % 35.04/35.29 (step @p164 :rule bool-impl-elim :args (@t17 @t233)) % 35.04/35.29 (step @p165 :rule cong :premises (@p164) :args ((forall @t9 (=> @t17 @t233)))) % 35.04/35.29 (step @p166 :rule trans :premises (@p165 @p163)) % 35.04/35.29 (step @p167 :rule bool-impl-elim :args (@t21 @t5)) % 35.04/35.29 (step @p168 :rule cong :premises (@p167) :args (@t37)) % 35.04/35.29 (step @p169 :rule cong :premises (@p115 @p168) :args (@t38)) % 35.04/35.29 (step @p170 :rule cong :premises (@p169) :args (@t39)) % 35.04/35.29 (step @p171 :rule trans :premises (@p170 @p166)) % 35.04/35.29 (step @p172 :rule eq_resolve :premises (@p15 @p171)) % 35.04/35.29 (step @p173 :rule cong :premises (@p141) :args (@t234)) % 35.04/35.29 (step @p174 :rule refl :args (@t235)) % 35.04/35.29 (step @p175 :rule cong :premises (@p174 @p173) :args (@t236)) % 35.04/35.29 (step @p176 :rule refl :args (@t237)) % 35.04/35.29 (step @p177 :rule nary_cong :premises (@p142 @p176 @p175) :args (@t238)) % 35.04/35.29 (step @p178 :rule refl :args (@t239)) % 35.04/35.29 (step @p179 :rule cong :premises (@p178 @p177) :args ((=> @t239 @t238))) % 35.04/35.29 (assume-push @p1251 @t239) % 35.04/35.29 (step @p181 :rule instantiate :premises (@p172) :args ((@list @t202 tptp.nil))) % 35.04/35.29 (step-pop @p1252 :rule scope :premises (@p181)) % 35.04/35.29 (step @p182 :rule process_scope :premises (@p1252) :args (@t238)) % 35.04/35.29 (step @p184 :rule eq_resolve :premises (@p182 @p179)) % 35.04/35.29 (step @p185 :rule implies_elim :premises (@p184)) % 35.04/35.29 (step @p186 :rule chain_m_resolution :premises (@p185 @p172) :args (@t242 @t220 (@list @t239))) % 35.04/35.29 (step @p187 :rule refl :args (@t190)) % 35.04/35.29 (step @p188 :rule eq-symm :args (@t187 @t192)) % 35.04/35.29 (step @p189 :rule cong :premises (@p188) :args (@t243)) % 35.04/35.29 (step @p190 :rule refl :args (@t193)) % 35.04/35.29 (step @p191 :rule refl :args (@t195)) % 35.04/35.29 (step @p192 :rule refl :args (@t196)) % 35.04/35.29 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p189) :args (@t244)) % 35.04/35.29 (step @p194 :rule cong :premises (@p193) :args (@t245)) % 35.04/35.29 (step @p195 :rule cong :premises (@p194) :args (@t246)) % 35.04/35.29 (step @p196 :rule refl :args (@t198)) % 35.04/35.29 (step @p197 :rule refl :args (@t199)) % 35.04/35.29 (step @p198 :rule refl :args (@t176)) % 35.04/35.29 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196 @p195 @p187) :args (@t247)) % 35.04/35.29 (step @p200 :rule aci_norm :args ((= @t249 @t247))) % 35.04/35.29 (step @p201 :rule trans :premises (@p200 @p199)) % 35.04/35.29 (step @p202 :rule cong :premises (@p201) :args (@t250)) % 35.04/35.29 (step @p203 :rule quant-merge-prenex :args ((= (forall @t9 @t252) @t250))) % 35.04/35.29 (step @p204 :rule alpha_equiv :args (@t253 (@list @t187) @t183)) % 35.04/35.29 (step @p205 :rule nary_cong :premises (@p102 @p204) :args (@t254)) % 35.04/35.29 (step @p206 :rule quant-miniscope-or :args ((= @t252 @t254))) % 35.04/35.29 (step @p207 :rule trans :premises (@p206 @p205)) % 35.04/35.29 (step @p208 :rule symm :premises (@p207)) % 35.04/35.29 (step @p209 :rule cong :premises (@p208) :args ((forall @t9 @t263))) % 35.04/35.29 (step @p210 :rule trans :premises (@p209 @p203)) % 35.04/35.29 (step @p211 :rule trans :premises (@p210 @p202)) % 35.04/35.29 (step @p212 :rule aci_norm :args ((= (or @t176 @t263) @t263))) % 35.04/35.29 (step @p213 :rule bool-impl-elim :args (@t17 @t263)) % 35.04/35.29 (step @p214 :rule trans :premises (@p213 @p212)) % 35.04/35.29 (step @p215 :rule cong :premises (@p214) :args ((forall @t9 (=> @t17 @t263)))) % 35.04/35.29 (step @p216 :rule trans :premises (@p215 @p211)) % 35.04/35.29 (step @p217 :rule quant-miniscope-or :args ((= (forall @t7 @t264) @t263))) % 35.04/35.29 (step @p218 :rule aci_norm :args ((= @t265 @t264))) % 35.04/35.29 (step @p219 :rule cong :premises (@p218) :args ((forall @t7 @t265))) % 35.04/35.29 (step @p220 :rule trans :premises (@p219 @p217)) % 35.04/35.29 (step @p221 :rule aci_norm :args ((= (or @t185 @t265) @t265))) % 35.04/35.29 (step @p222 :rule bool-impl-elim :args (@t21 @t265)) % 35.04/35.29 (step @p223 :rule trans :premises (@p222 @p221)) % 35.04/35.29 (step @p224 :rule cong :premises (@p223) :args ((forall @t7 (=> @t21 @t265)))) % 35.04/35.29 (step @p225 :rule trans :premises (@p224 @p220)) % 35.04/35.29 (step @p226 :rule aci_norm :args ((= (or @t185 @t135 @t261 @t266) @t265))) % 35.04/35.29 (step @p227 :rule aci_norm :args ((= (or @t176 false @t258) @t266))) % 35.04/35.29 (step @p228 :rule refl :args (@t258)) % 35.04/35.29 (step @p229 :rule evaluate :args ((not true))) % 35.04/35.29 (step @p230 :rule eq-refl :args (@t2)) % 35.04/35.29 (step @p231 :rule cong :premises (@p230) :args (@t267)) % 35.04/35.29 (step @p232 :rule trans :premises (@p231 @p229)) % 35.04/35.29 (step @p233 :rule nary_cong :premises (@p198 @p232 @p228) :args (@t268)) % 35.04/35.29 (step @p234 :rule trans :premises (@p233 @p227)) % 35.04/35.29 (step @p235 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t106) @t271 @t161 @t270)) @t268))) % 35.04/35.29 (step @p236 :rule refl :args (@t270)) % 35.04/35.29 (step @p237 :rule refl :args (@t161)) % 35.04/35.29 (step @p238 :rule refl :args (@t271)) % 35.04/35.29 (step @p239 :rule eq-symm :args (@t2 @t12)) % 35.04/35.29 (step @p240 :rule cong :premises (@p239) :args (@t161)) % 35.04/35.29 (step @p241 :rule nary_cong :premises (@p240 @p238 @p237 @p236) :args (@t272)) % 35.04/35.29 (step @p242 :rule aci_norm :args ((= @t273 @t272))) % 35.04/35.29 (step @p243 :rule trans :premises (@p242 @p241)) % 35.04/35.29 (step @p244 :rule cong :premises (@p243) :args (@t274)) % 35.04/35.29 (step @p245 :rule trans :premises (@p244 @p235)) % 35.04/35.29 (step @p246 :rule trans :premises (@p245 @p234)) % 35.04/35.29 (step @p247 :rule refl :args (@t261)) % 35.04/35.29 (step @p248 :rule refl :args (@t135)) % 35.04/35.29 (step @p249 :rule refl :args (@t185)) % 35.04/35.29 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247 @p246) :args (@t275)) % 35.04/35.29 (step @p251 :rule trans :premises (@p250 @p226)) % 35.04/35.29 (step @p252 :rule quant-miniscope-or :args ((= (forall @t16 @t276) @t275))) % 35.04/35.29 (step @p253 :rule aci_norm :args ((= @t277 @t276))) % 35.04/35.29 (step @p254 :rule cong :premises (@p253) :args ((forall @t16 @t277))) % 35.04/35.29 (step @p255 :rule trans :premises (@p254 @p252)) % 35.04/35.29 (step @p256 :rule trans :premises (@p255 @p251)) % 35.04/35.29 (step @p257 :rule aci_norm :args ((= (or @t271 @t161 @t185 @t278) @t277))) % 35.04/35.29 (step @p258 :rule aci_norm :args ((= @t279 @t278))) % 35.04/35.29 (step @p259 :rule refl :args (@t161)) % 35.04/35.29 (step @p260 :rule refl :args (@t271)) % 35.04/35.29 (step @p261 :rule nary_cong :premises (@p260 @p259 @p249 @p258) :args (@t280)) % 35.04/35.29 (step @p262 :rule trans :premises (@p261 @p257)) % 35.04/35.29 (step @p263 :rule cong :premises (@p262) :args ((forall @t16 @t280))) % 35.04/35.29 (step @p264 :rule trans :premises (@p263 @p256)) % 35.04/35.29 (step @p265 :rule aci_norm :args ((= (or @t271 (or @t161 @t185 @t279)) @t280))) % 35.04/35.29 (step @p266 :rule bool-or-taut2 :args (false @t134 false false)) % 35.04/35.29 (step @p267 :rule refl :args (@t278)) % 35.04/35.29 (step @p268 :rule nary_cong :premises (@p267 @p266) :args (@t281)) % 35.04/35.29 (step @p269 :rule refl :args (@t185)) % 35.04/35.29 (step @p270 :rule nary_cong :premises (@p237 @p269 @p268) :args (@t282)) % 35.04/35.29 (step @p271 :rule nary_cong :premises (@p238 @p270) :args ((or @t271 @t282))) % 35.04/35.29 (step @p272 :rule trans :premises (@p271 @p265)) % 35.04/35.29 (step @p273 :rule bool-impl-elim :args (@t15 @t282)) % 35.04/35.29 (step @p274 :rule trans :premises (@p273 @p272)) % 35.04/35.29 (step @p275 :rule cong :premises (@p274) :args ((forall @t16 (=> @t15 @t282)))) % 35.04/35.29 (step @p276 :rule trans :premises (@p275 @p264)) % 35.04/35.29 (step @p277 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(@t136)) % 35.04/35.29 (step @p306 :rule refl :args (@t261)) % 35.04/35.29 (step @p307 :rule refl :args (@t288)) % 35.04/35.29 (step @p308 :rule bool-double-not-elim :args (@t289)) % 35.04/35.29 (step @p309 :rule bool-double-not-elim :args (@t290)) % 35.04/35.29 (step @p310 :rule bool-double-not-elim :args (@t149)) % 35.04/35.29 (step @p311 :rule nary_cong :premises (@p310 @p309 @p308 @p307) :args (@t305)) % 35.04/35.29 (step @p312 :rule aci_norm :args ((= (and @t304 (and @t302 (and @t300 @t288))) @t305))) % 35.04/35.29 (step @p313 :rule trans :premises (@p312 @p311)) % 35.04/35.29 (step @p314 :rule bool-or-de-morgan :args (@t299 @t287 false)) % 35.04/35.29 (step @p315 :rule refl :args (@t302)) % 35.04/35.29 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((and @t302 (not @t306)))) % 35.04/35.29 (step @p317 :rule bool-or-de-morgan :args (@t301 @t299 (or @t287))) % 35.04/35.29 (step @p318 :rule trans :premises (@p317 @p316)) % 35.04/35.29 (step @p319 :rule refl :args (@t304)) 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@p347 :rule trans :premises (@p346 @p336)) % 35.04/35.29 (step @p348 :rule aci_norm :args ((= (or @t196 @t324) @t323))) % 35.04/35.29 (step @p349 :rule bool-double-not-elim :args (@t324)) % 35.04/35.29 (step @p350 :rule nary_cong :premises (@p340 @p349) :args ((or @t196 (not @t325)))) % 35.04/35.29 (step @p351 :rule bool-and-de-morgan :args (@t145 @t325 true)) % 35.04/35.29 (step @p352 :rule trans :premises (@p351 @p350)) % 35.04/35.29 (step @p353 :rule trans :premises (@p352 @p348)) % 35.04/35.29 (step @p354 :rule cong :premises (@p353) :args (@t327)) % 35.04/35.29 (step @p355 :rule trans :premises (@p354 @p347)) % 35.04/35.29 (step @p356 :rule cong :premises (@p355) :args (@t328)) % 35.04/35.29 (step @p357 :rule exists-elim :args ((= (exists @t147 @t326) @t328))) % 35.04/35.29 (step @p358 :rule trans :premises (@p357 @p356)) % 35.04/35.29 (step @p359 :rule quant-miniscope-or :args ((= (forall @t143 @t329) @t324))) % 35.04/35.29 (step @p360 :rule aci_norm :args ((= @t330 @t329))) % 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(step @p389 :rule trans :premises (@p388 @p229)) % 35.04/35.29 (step @p390 :rule refl :args (@t287)) % 35.04/35.29 (step @p391 :rule refl :args (@t299)) % 35.04/35.29 (step @p392 :rule nary_cong :premises (@p391 @p390 @p389) :args (@t335)) % 35.04/35.29 (step @p393 :rule trans :premises (@p392 @p386)) % 35.04/35.29 (step @p394 :rule quant-var-elim-eq :args ((= (forall @t33 @t338) @t335))) % 35.04/35.29 (step @p395 :rule aci_norm :args ((= @t339 @t338))) % 35.04/35.29 (step @p396 :rule cong :premises (@p395) :args (@t340)) % 35.04/35.29 (step @p397 :rule trans :premises (@p396 @p394)) % 35.04/35.29 (step @p398 :rule trans :premises (@p397 @p393)) % 35.04/35.29 (step @p399 :rule refl :args (@t301)) % 35.04/35.29 (step @p400 :rule refl :args (@t303)) % 35.04/35.29 (step @p401 :rule nary_cong :premises (@p400 @p399 @p398) :args (@t341)) % 35.04/35.29 (step @p402 :rule trans :premises (@p401 @p385)) % 35.04/35.29 (step @p403 :rule quant-miniscope-or :args ((= (forall @t33 @t342) @t341))) % 35.04/35.29 (step @p404 :rule aci_norm :args ((= @t343 @t342))) % 35.04/35.29 (step @p405 :rule cong :premises (@p404) :args ((forall @t33 @t343))) % 35.04/35.29 (step @p406 :rule trans :premises (@p405 @p403)) % 35.04/35.29 (step @p407 :rule trans :premises (@p406 @p402)) % 35.04/35.29 (step @p408 :rule aci_norm :args ((= (or @t337 @t154 @t344) @t343))) % 35.04/35.29 (step @p409 :rule bool-double-not-elim :args (@t344)) % 35.04/35.29 (step @p410 :rule bool-double-not-elim :args (@t154)) % 35.04/35.29 (step @p411 :rule refl :args (@t337)) % 35.04/35.29 (step @p412 :rule nary_cong :premises (@p411 @p410 @p409) :args (@t348)) % 35.04/35.29 (step @p413 :rule aci_norm :args ((= (or @t337 (or @t347 @t346)) @t348))) % 35.04/35.29 (step @p414 :rule trans :premises (@p413 @p412)) % 35.04/35.29 (step @p415 :rule bool-and-de-morgan :args (@t155 @t345 true)) % 35.04/35.29 (step @p416 :rule nary_cong :premises (@p411 @p415) :args ((or @t337 (not (and @t155 @t345))))) % 35.04/35.29 (step @p417 :rule bool-and-de-morgan :args (@t32 @t155 (and @t345))) % 35.04/35.29 (step @p418 :rule trans :premises (@p417 @p416)) % 35.04/35.29 (step @p419 :rule trans :premises (@p418 @p414)) % 35.04/35.29 (step @p420 :rule trans :premises (@p419 @p408)) % 35.04/35.29 (step @p421 :rule cong :premises (@p420) :args (@t350)) % 35.04/35.29 (step @p422 :rule trans :premises (@p421 @p407)) % 35.04/35.29 (step @p423 :rule cong :premises (@p422) :args (@t351)) % 35.04/35.29 (step @p424 :rule exists-elim :args ((= (exists @t33 @t349) @t351))) % 35.04/35.29 (step @p425 :rule trans :premises (@p424 @p423)) % 35.04/35.29 (step @p426 :rule aci_norm :args ((= (or @t303 @t352) @t344))) % 35.04/35.29 (step @p427 :rule aci_norm :args ((= (or @t301 false @t336) @t352))) % 35.04/35.29 (step @p428 :rule refl :args (@t336)) % 35.04/35.29 (step @p429 :rule eq-refl :args (@t151)) % 35.04/35.29 (step @p430 :rule cong :premises (@p429) :args (@t353)) % 35.04/35.29 (step @p431 :rule trans :premises (@p430 @p229)) % 35.04/35.29 (step @p432 :rule nary_cong :premises (@p399 @p431 @p428) :args (@t354)) % 35.04/35.29 (step @p433 :rule trans :premises (@p432 @p427)) % 35.04/35.29 (step @p434 :rule quant-var-elim-eq :args ((= (forall @t31 @t360) @t354))) % 35.04/35.29 (step @p435 :rule aci_norm :args ((= @t361 @t360))) % 35.04/35.29 (step @p436 :rule cong :premises (@p435) :args (@t362)) % 35.04/35.29 (step @p437 :rule trans :premises (@p436 @p434)) % 35.04/35.29 (step @p438 :rule trans :premises (@p437 @p433)) % 35.04/35.29 (step @p439 :rule nary_cong :premises (@p400 @p438) :args (@t363)) % 35.04/35.29 (step @p440 :rule trans :premises (@p439 @p426)) % 35.04/35.29 (step @p441 :rule quant-miniscope-or :args ((= (forall @t31 @t364) @t363))) % 35.04/35.29 (step @p442 :rule aci_norm :args ((= @t365 @t364))) % 35.04/35.29 (step @p443 :rule cong :premises (@p442) :args ((forall @t31 @t365))) % 35.04/35.29 (step @p444 :rule trans :premises (@p443 @p441)) % 35.04/35.29 (step @p445 :rule trans :premises (@p444 @p440)) % 35.04/35.29 (step @p446 :rule aci_norm :args ((= (or @t359 (or @t358 (or @t356 @t303))) @t365))) % 35.04/35.29 (step @p447 :rule bool-and-de-morgan :args (@t355 @t149 true)) % 35.04/35.29 (step @p448 :rule refl :args (@t358)) % 35.04/35.29 (step @p449 :rule nary_cong :premises (@p448 @p447) :args ((or @t358 (not (and @t355 @t149))))) % 35.04/35.29 (step @p450 :rule bool-and-de-morgan :args (@t357 @t355 (and @t149))) % 35.04/35.29 (step @p451 :rule trans :premises (@p450 @p449)) % 35.04/35.29 (step @p452 :rule refl :args (@t359)) % 35.04/35.29 (step @p453 :rule nary_cong :premises (@p452 @p451) :args ((or @t359 (not (and @t357 @t355 @t149))))) % 35.04/35.29 (step @p454 :rule bool-and-de-morgan :args (@t30 @t357 (and @t355 @t149))) % 35.04/35.29 (step @p455 :rule trans :premises (@p454 @p453)) % 35.04/35.29 (step @p456 :rule trans :premises (@p455 @p446)) % 35.04/35.29 (step @p457 :rule cong :premises (@p456) :args (@t367)) % 35.04/35.29 (step @p458 :rule trans :premises (@p457 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(step @p1129 :rule bool-impl-elim :args (@t17 @t640)) % 35.04/35.29 (step @p1130 :rule cong :premises (@p1129) :args ((forall @t9 (=> @t17 @t640)))) % 35.04/35.29 (step @p1131 :rule trans :premises (@p1130 @p1128)) % 35.04/35.29 (step @p1132 :rule bool-impl-elim :args (@t21 @t639)) % 35.04/35.29 (step @p1133 :rule cong :premises (@p1132) :args ((forall @t7 (=> @t21 @t639)))) % 35.04/35.29 (step @p1134 :rule eq-symm :args (tptp.nil @t1)) % 35.04/35.29 (step @p1135 :rule nary_cong :premises (@p1134 @p133) :args (@t115)) % 35.04/35.29 (step @p1136 :rule refl :args (@t116)) % 35.04/35.29 (step @p1137 :rule cong :premises (@p1136 @p1135) :args (@t117)) % 35.04/35.29 (step @p1138 :rule cong :premises (@p486 @p1137) :args (@t118)) % 35.04/35.29 (step @p1139 :rule cong :premises (@p1138) :args (@t119)) % 35.04/35.29 (step @p1140 :rule trans :premises (@p1139 @p1133)) % 35.04/35.29 (step @p1141 :rule cong :premises (@p115 @p1140) :args (@t120)) % 35.04/35.29 (step @p1142 :rule cong :premises (@p1141) :args (@t121)) % 35.04/35.29 (step @p1143 :rule trans :premises (@p1142 @p1131)) % 35.04/35.29 (step @p1144 :rule eq_resolve :premises (@p83 @p1143)) % 35.04/35.29 (step @p1145 :rule refl :args (@t623)) % 35.04/35.29 (step @p1146 :rule nary_cong :premises (@p1145 @p632) :args (@t641)) % 35.04/35.29 (step @p1147 :rule refl :args (@t642)) % 35.04/35.29 (step @p1148 :rule cong :premises (@p1147 @p1146) :args (@t643)) % 35.04/35.29 (step @p1149 :rule nary_cong :premises (@p506 @p566 @p1148) :args (@t644)) % 35.04/35.29 (step @p1150 :rule refl :args (@t645)) % 35.04/35.29 (step @p1151 :rule cong :premises (@p1150 @p1149) :args ((=> @t645 @t644))) % 35.04/35.29 (assume-push @p1321 @t645) % 35.04/35.29 (step @p1153 :rule instantiate :premises (@p1144) :args (@t205)) % 35.04/35.29 (step-pop @p1322 :rule scope :premises (@p1153)) % 35.04/35.29 (step @p1154 :rule process_scope :premises (@p1322) :args (@t644)) % 35.04/35.29 (step @p1156 :rule eq_resolve :premises (@p1154 @p1151)) % 35.04/35.29 (step @p1157 :rule implies_elim :premises (@p1156)) % 35.04/35.29 (step @p1158 :rule chain_m_resolution :premises (@p1157 @p1144) :args (@t648 @t220 (@list @t645))) % 35.04/35.29 (step @p1159 :rule cnf_or_pos :args (@t648)) % 35.04/35.30 (step @p1160 :rule reordering :premises (@p1159) :args ((or @t380 @t395 @t647 (not @t648)))) % 35.04/35.30 (step @p1161 :rule chain_m_resolution :premises (@p1160 @p546 @p540 @p1158) :args (@t647 @t392 (@list @t379 @t211 @t648))) % 35.04/35.30 (step @p1162 :rule false_intro :premises (@p537)) % 35.04/35.30 (step @p1057 :rule symm :premises (@p572)) % 35.04/35.30 (step @p1163 :rule refl :args (tptp.nil)) % 35.04/35.30 (step @p1164 :rule cong :premises (@p1163 @p1057) :args (@t642)) % 35.04/35.30 (step @p1165 :rule trans :premises (@p1164 @p1162)) % 35.04/35.30 (step @p1166 :rule false_elim :premises (@p1165)) % 35.04/35.30 (step @p1167 :rule cnf_equiv_pos2 :args (@t647)) % 35.04/35.30 (step @p1168 :rule reordering :premises (@p1167) :args ((or @t642 @t649 (not @t647)))) % 35.04/35.30 (step @p1169 :rule chain_m_resolution :premises (@p1168 @p1166 @p1161) :args (@t649 @t400 (@list @t642 @t647))) % 35.04/35.30 (step @p1170 :rule cnf_and_neg :args (@t646)) % 35.04/35.30 (step @p1171 :rule chain_m_resolution :premises (@p1170 @p1169 @p1081) :args ((not @t623) @t400 (@list @t646 @t443))) % 35.04/35.30 (step @p1172 :rule cnf_or_pos :args (@t624)) % 35.04/35.30 (step @p1173 :rule reordering :premises (@p1172) :args ((or @t395 @t623 @t619 (not @t624)))) % 35.04/35.30 (step @p1174 :rule chain_m_resolution :premises (@p1173 @p540 @p1171 @p1109) :args (@t619 @t394 (@list @t211 @t623 @t624))) % 35.04/35.30 (step @p1175 :rule aci_norm :args ((= @t654 (or @t176 @t652 @t651)))) % 35.04/35.30 (step @p1176 :rule cong :premises (@p1175) :args (@t655)) % 35.04/35.30 (step @p1177 :rule quant-merge-prenex :args ((= (forall @t9 @t657) @t655))) % 35.04/35.30 (step @p1178 :rule alpha_equiv :args (@t658 (@list @t650) @t183)) % 35.04/35.30 (step @p1179 :rule nary_cong :premises (@p102 @p1178) :args (@t659)) % 35.04/35.30 (step @p1180 :rule quant-miniscope-or :args ((= @t657 @t659))) % 35.04/35.30 (step @p1181 :rule trans :premises (@p1180 @p1179)) % 35.04/35.30 (step @p1182 :rule symm :premises (@p1181)) % 35.04/35.30 (step @p1183 :rule cong :premises (@p1182) :args ((forall @t9 (or @t176 @t661)))) % 35.04/35.30 (step @p1184 :rule trans :premises (@p1183 @p1177)) % 35.04/35.30 (step @p1185 :rule trans :premises (@p1184 @p1176)) % 35.04/35.30 (step @p1186 :rule bool-impl-elim :args (@t17 @t661)) % 35.04/35.30 (step @p1187 :rule cong :premises (@p1186) :args ((forall @t9 (=> @t17 @t661)))) % 35.04/35.30 (step @p1188 :rule trans :premises (@p1187 @p1185)) % 35.04/35.30 (step @p1189 :rule bool-impl-elim :args (@t6 @t660)) % 35.04/35.30 (step @p1190 :rule cong :premises (@p1189) :args ((forall @t7 (=> @t6 @t660)))) % 35.04/35.30 (step @p1191 :rule eq-symm :args (@t40 @t2)) % 35.04/35.30 (step @p1192 :rule cong :premises (@p1191) :args (@t42)) % 35.04/35.30 (step @p1193 :rule cong :premises (@p803 @p1192) :args (@t43)) % 35.04/35.30 (step @p1194 :rule cong :premises (@p1193) :args (@t44)) % 35.04/35.30 (step @p1195 :rule trans :premises (@p1194 @p1190)) % 35.04/35.30 (step @p1196 :rule cong :premises (@p115 @p1195) :args (@t45)) % 35.04/35.30 (step @p1197 :rule cong :premises (@p1196) :args (@t46)) % 35.04/35.30 (step @p1198 :rule trans :premises (@p1197 @p1188)) % 35.04/35.30 (step @p1199 :rule eq_resolve :premises (@p18 @p1198)) % 35.04/35.30 (step @p1200 :rule instantiate :premises (@p1199) :args ((@list @t202 @t617))) % 35.04/35.30 (step @p1201 :rule refl :args (@t662)) % 35.04/35.30 (step @p1202 :rule nary_cong :premises (@p566 @p1099 @p1201) :args (@t663)) % 35.04/35.30 (step @p1203 :rule cong :premises (@p1031 @p1202) :args ((=> @t609 @t663))) % 35.04/35.30 (assume-push @p1323 @t609) % 35.04/35.30 (step @p1205 :rule instantiate :premises (@p1028) :args (@t404)) % 35.04/35.30 (step-pop @p1324 :rule scope :premises (@p1205)) % 35.04/35.30 (step @p1206 :rule process_scope :premises (@p1324) :args (@t663)) % 35.04/35.30 (step @p1208 :rule eq_resolve :premises (@p1206 @p1203)) % 35.04/35.30 (step @p1209 :rule implies_elim :premises (@p1208)) % 35.04/35.30 (step @p1210 :rule chain_m_resolution :premises (@p1209 @p1028) :args (@t664 @t220 @t611)) % 35.04/35.30 (step @p1211 :rule cnf_or_pos :args (@t664)) % 35.04/35.30 (step @p1212 :rule reordering :premises (@p1211) :args ((or @t395 @t623 @t662 (not @t664)))) % 35.04/35.30 (step @p1213 :rule chain_m_resolution :premises (@p1212 @p540 @p1171 @p1210) :args (@t662 @t394 (@list @t211 @t623 @t664))) % 35.04/35.30 (step @p1214 :rule cnf_or_pos :args (@t668)) % 35.04/35.30 (step @p1215 :rule reordering :premises (@p1214) :args ((or @t213 @t667 @t666 (not @t668)))) % 35.04/35.30 (step @p1216 :rule chain_m_resolution :premises (@p1215 @p525 @p1213 @p1200) :args (@t666 @t392 (@list @t212 @t662 @t668))) % 35.04/35.30 (assume-push @p1325 @t370) % 35.04/35.30 (assume-push @p1326 @t443) % 35.04/35.30 (assume-push @p1327 @t406) % 35.04/35.30 (assume-push @p1328 @t619) % 35.04/35.30 (assume-push @p1329 @t370) % 35.04/35.30 (assume-push @p1330 @t443) % 35.04/35.30 (assume-push @p1331 @t406) % 35.04/35.30 (assume-push @p1332 @t619) % 35.04/35.30 (step @p851 :rule refl :args (@t203)) % 35.04/35.30 (step @p1225 :rule cong :premises (@p1326 @p851) :args (@t405)) % 35.04/35.30 (step @p1226 :rule trans :premises (@p583 @p1225 @p1057)) % 35.04/35.30 (step @p1227 :rule cong :premises (@p1226) :args (@t616)) % 35.04/35.30 (step @p1228 :rule trans :premises (@p1227 @p583 @p1225 @p1057)) % 35.04/35.30 (step @p1229 :rule refl :args (@t617)) % 35.04/35.30 (step @p1230 :rule cong :premises (@p1229 @p1228) :args (@t618)) % 35.04/35.30 (step @p857 :rule symm :premises (@p583)) % 35.04/35.30 (step @p1231 :rule symm :premises (@p1225)) % 35.04/35.30 (step @p1232 :rule trans :premises (@p572 @p1231 @p857 @p1328 @p1230)) % 35.04/35.30 (step-pop @p1333 :rule scope :premises (@p1232)) % 35.04/35.30 (step-pop @p1334 :rule scope :premises (@p1333)) % 35.04/35.30 (step-pop @p1335 :rule scope :premises (@p1334)) % 35.04/35.30 (step-pop @p1336 :rule scope :premises (@p1335)) % 35.04/35.30 (step @p1233 :rule process_scope :premises (@p1336) :args (@t665)) % 35.04/35.30 (step @p1238 :rule and_intro :premises (@p572 @p1326 @p583 @p1328)) % 35.04/35.30 (step @p1239 :rule modus_ponens :premises (@p1238 @p1233)) % 35.04/35.30 (step-pop @p1337 :rule scope :premises (@p1239)) % 35.04/35.30 (step-pop @p1338 :rule scope :premises (@p1337)) % 35.04/35.30 (step-pop @p1339 :rule scope :premises (@p1338)) % 35.04/35.30 (step-pop @p1340 :rule scope :premises (@p1339)) % 35.04/35.30 (step @p1240 :rule process_scope :premises (@p1340) :args (@t665)) % 35.04/35.30 (step @p1245 :rule implies_elim :premises (@p1240)) % 35.04/35.30 (step @p1246 :rule cnf_and_neg :args (@t669)) % 35.04/35.30 (step @p1247 :rule resolution :premises (@p1246 @p1245) :args (true @t669)) % 35.04/35.30 (step @p1248 false :rule chain_m_resolution :premises (@p1247 @p1216 @p1174 @p1081 @p583 @p572) :args (false (@list true false false false false) (@list @t665 @t619 @t443 @t406 @t370))) % 35.04/35.30 ) % 35.04/35.30 % SZS output end Proof % 35.04/35.30 % cvc5 exiting %------------------------------------------------------------------------------