%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC354+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:59 AM UTC 2026 % Result : Theorem 14.22s 14.43s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC354+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:42:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 14.22/14.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 14.22/14.43 % SZS status Theorem % 14.22/14.43 % SZS output start Proof % 14.22/14.43 ( % 14.22/14.43 (declare-sort $$unsorted 0) % 14.22/14.43 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 14.22/14.43 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 14.22/14.43 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 14.22/14.43 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 14.22/14.43 (declare-const tptp.nil $$unsorted) % 14.22/14.43 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.ssList (-> $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 14.22/14.43 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 14.22/14.43 (define @t1 () (@var "V" $$unsorted)) % 14.22/14.43 (define @t2 () (@var "U" $$unsorted)) % 14.22/14.43 (define @t3 () (= @t2 @t1)) % 14.22/14.43 (define @t4 () (not @t3)) % 14.22/14.43 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 14.22/14.43 (define @t6 () (tptp.ssItem @t1)) % 14.22/14.43 (define @t7 () (@list @t1)) % 14.22/14.43 (define @t8 () (tptp.ssItem @t2)) % 14.22/14.43 (define @t9 () (@list @t2)) % 14.22/14.43 (define @t10 () (@var "X" $$unsorted)) % 14.22/14.43 (define @t11 () (tptp.cons @t1 @t10)) % 14.22/14.43 (define @t12 () (@var "W" $$unsorted)) % 14.22/14.43 (define @t13 () (tptp.ssList @t10)) % 14.22/14.43 (define @t14 () (@list @t10)) % 14.22/14.43 (define @t15 () (tptp.ssList @t12)) % 14.22/14.43 (define @t16 () (@list @t12)) % 14.22/14.43 (define @t17 () (tptp.ssList @t2)) % 14.22/14.43 (define @t18 () (tptp.cons @t1 tptp.nil)) % 14.22/14.43 (define @t19 () (tptp.app @t1 @t12)) % 14.22/14.43 (define @t20 () (tptp.frontsegP @t2 @t1)) % 14.22/14.43 (define @t21 () (tptp.ssList @t1)) % 14.22/14.43 (define @t22 () (tptp.app @t12 @t1)) % 14.22/14.43 (define @t23 () (and @t15 (= @t22 @t2))) % 14.22/14.43 (define @t24 () (exists @t16 @t23)) % 14.22/14.43 (define @t25 () (tptp.rearsegP @t2 @t1)) % 14.22/14.43 (define @t26 () (= @t25 @t24)) % 14.22/14.43 (define @t27 () (=> @t21 @t26)) % 14.22/14.43 (define @t28 () (forall @t7 @t27)) % 14.22/14.43 (define @t29 () (=> @t17 @t28)) % 14.22/14.43 (define @t30 () (forall @t9 @t29)) % 14.22/14.43 (define @t31 () (tptp.app @t22 @t10)) % 14.22/14.43 (define @t32 () (and @t13 (= @t31 @t2))) % 14.22/14.43 (define @t33 () (exists @t14 @t32)) % 14.22/14.43 (define @t34 () (and @t15 @t33)) % 14.22/14.43 (define @t35 () (exists @t16 @t34)) % 14.22/14.43 (define @t36 () (tptp.segmentP @t2 @t1)) % 14.22/14.43 (define @t37 () (= @t36 @t35)) % 14.22/14.43 (define @t38 () (=> @t21 @t37)) % 14.22/14.43 (define @t39 () (forall @t7 @t38)) % 14.22/14.43 (define @t40 () (=> @t17 @t39)) % 14.22/14.43 (define @t41 () (forall @t9 @t40)) % 14.22/14.43 (define @t42 () (tptp.leq @t12 @t1)) % 14.22/14.43 (define @t43 () (tptp.leq @t1 @t12)) % 14.22/14.43 (define @t44 () (@var "Z" $$unsorted)) % 14.22/14.43 (define @t45 () (@var "Y" $$unsorted)) % 14.22/14.43 (define @t46 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t45)) (tptp.cons @t12 @t44)) @t2)) % 14.22/14.43 (define @t47 () (tptp.ssList @t44)) % 14.22/14.43 (define @t48 () (@list @t44)) % 14.22/14.43 (define @t49 () (tptp.ssList @t45)) % 14.22/14.43 (define @t50 () (@list @t45)) % 14.22/14.43 (define @t51 () (tptp.ssItem @t12)) % 14.22/14.43 (define @t52 () (tptp.lt @t1 @t12)) % 14.22/14.43 (define @t53 () (= @t1 @t12)) % 14.22/14.43 (define @t54 () (forall @t7 (=> @t21 @t5))) % 14.22/14.43 (define @t55 () (=> @t17 @t54)) % 14.22/14.43 (define @t56 () (forall @t9 @t55)) % 14.22/14.43 (define @t57 () (tptp.cons @t1 @t2)) % 14.22/14.43 (define @t58 () (tptp.ssList @t57)) % 14.22/14.43 (define @t59 () (forall @t7 (=> @t6 @t58))) % 14.22/14.43 (define @t60 () (=> @t17 @t59)) % 14.22/14.43 (define @t61 () (forall @t9 @t60)) % 14.22/14.43 (define @t62 () (tptp.ssList tptp.nil)) % 14.22/14.43 (define @t63 () (= @t1 @t2)) % 14.22/14.43 (define @t64 () (tptp.cons @t12 @t1)) % 14.22/14.43 (define @t65 () (and @t51 (= @t64 @t2))) % 14.22/14.43 (define @t66 () (exists @t16 @t65)) % 14.22/14.43 (define @t67 () (and @t21 @t66)) % 14.22/14.43 (define @t68 () (exists @t7 @t67)) % 14.22/14.43 (define @t69 () (= tptp.nil @t2)) % 14.22/14.43 (define @t70 () (or @t69 @t68)) % 14.22/14.43 (define @t71 () (=> @t17 @t70)) % 14.22/14.43 (define @t72 () (forall @t9 @t71)) % 14.22/14.43 (define @t73 () (tptp.hd @t2)) % 14.22/14.43 (define @t74 () (tptp.ssItem @t73)) % 14.22/14.43 (define @t75 () (not @t69)) % 14.22/14.43 (define @t76 () (=> @t75 @t74)) % 14.22/14.43 (define @t77 () (=> @t17 @t76)) % 14.22/14.43 (define @t78 () (forall @t9 @t77)) % 14.22/14.43 (define @t79 () (tptp.hd @t57)) % 14.22/14.43 (define @t80 () (=> @t6 (= @t79 @t1))) % 14.22/14.43 (define @t81 () (forall @t7 @t80)) % 14.22/14.43 (define @t82 () (=> @t17 @t81)) % 14.22/14.43 (define @t83 () (forall @t9 @t82)) % 14.22/14.43 (define @t84 () (tptp.tl @t2)) % 14.22/14.43 (define @t85 () (tptp.app @t2 @t1)) % 14.22/14.43 (define @t86 () (tptp.app @t1 @t2)) % 14.22/14.43 (define @t87 () (tptp.app tptp.nil @t2)) % 14.22/14.43 (define @t88 () (=> @t17 (= @t87 @t2))) % 14.22/14.43 (define @t89 () (forall @t9 @t88)) % 14.22/14.43 (define @t90 () (tptp.leq @t1 @t2)) % 14.22/14.43 (define @t91 () (tptp.leq @t2 @t1)) % 14.22/14.43 (define @t92 () (tptp.geq @t2 @t1)) % 14.22/14.43 (define @t93 () (tptp.lt @t1 @t2)) % 14.22/14.43 (define @t94 () (tptp.lt @t2 @t1)) % 14.22/14.43 (define @t95 () (tptp.lt @t2 @t12)) % 14.22/14.43 (define @t96 () (tptp.gt @t2 @t1)) % 14.22/14.43 (define @t97 () (tptp.memberP @t12 @t2)) % 14.22/14.43 (define @t98 () (tptp.rearsegP @t2 @t2)) % 14.22/14.43 (define @t99 () (forall @t9 (=> @t17 @t98))) % 14.22/14.43 (define @t100 () (tptp.app @t12 @t2)) % 14.22/14.43 (define @t101 () (tptp.segmentP @t1 @t2)) % 14.22/14.43 (define @t102 () (tptp.cons @t2 tptp.nil)) % 14.22/14.43 (define @t103 () (tptp.hd @t1)) % 14.22/14.43 (define @t104 () (= tptp.nil @t1)) % 14.22/14.43 (define @t105 () (not @t104)) % 14.22/14.43 (define @t106 () (tptp.cons @t2 @t1)) % 14.22/14.43 (define @t107 () (= @t12 @t2)) % 14.22/14.43 (define @t108 () (= @t57 (tptp.app @t18 @t2))) % 14.22/14.43 (define @t109 () (forall @t7 (=> @t6 @t108))) % 14.22/14.43 (define @t110 () (=> @t17 @t109)) % 14.22/14.43 (define @t111 () (forall @t9 @t110)) % 14.22/14.43 (define @t112 () (tptp.neq @t1 tptp.nil)) % 14.22/14.43 (define @t113 () (not @t112)) % 14.22/14.43 (define @t114 () (or @t113 (tptp.neq @t10 tptp.nil))) % 14.22/14.43 (define @t115 () (tptp.neq tptp.nil @t10)) % 14.22/14.43 (define @t116 () (tptp.hd @t10)) % 14.22/14.43 (define @t117 () (tptp.cons @t44 tptp.nil)) % 14.22/14.43 (define @t118 () (tptp.ssItem @t44)) % 14.22/14.43 (define @t119 () (and @t118 (= @t117 @t45) (= @t116 @t44) @t115)) % 14.22/14.43 (define @t120 () (exists @t48 @t119)) % 14.22/14.43 (define @t121 () (= @t12 @t45)) % 14.22/14.43 (define @t122 () (not @t121)) % 14.22/14.43 (define @t123 () (and @t49 @t122 @t120)) % 14.22/14.43 (define @t124 () (exists @t50 @t123)) % 14.22/14.43 (define @t125 () (or @t113 @t124 @t101)) % 14.22/14.43 (define @t126 () (and @t125 @t114)) % 14.22/14.43 (define @t127 () (not (= @t2 @t12))) % 14.22/14.43 (define @t128 () (not (= @t1 @t10))) % 14.22/14.43 (define @t129 () (or @t128 @t127 @t126)) % 14.22/14.43 (define @t130 () (=> @t13 @t129)) % 14.22/14.43 (define @t131 () (forall @t14 @t130)) % 14.22/14.43 (define @t132 () (=> @t15 @t131)) % 14.22/14.43 (define @t133 () (forall @t16 @t132)) % 14.22/14.43 (define @t134 () (=> @t21 @t133)) % 14.22/14.43 (define @t135 () (forall @t7 @t134)) % 14.22/14.43 (define @t136 () (=> @t17 @t135)) % 14.22/14.43 (define @t137 () (forall @t9 @t136)) % 14.22/14.43 (define @t138 () (not @t137)) % 14.22/14.43 (define @t139 () (= @t2 @t87)) % 14.22/14.43 (define @t140 () (tptp.app tptp.nil tptp.nil)) % 14.22/14.43 (define @t141 () (= tptp.nil @t140)) % 14.22/14.43 (define @t142 () (not @t62)) % 14.22/14.43 (define @t143 () (or @t142 @t141)) % 14.22/14.43 (define @t144 () (@list false false)) % 14.22/14.43 (define @t145 () (@var "BOUND_VARIABLE_9263" $$unsorted)) % 14.22/14.43 (define @t146 () (tptp.cons @t145 @t1)) % 14.22/14.43 (define @t147 () (not (= @t2 @t146))) % 14.22/14.43 (define @t148 () (not (tptp.ssItem @t145))) % 14.22/14.43 (define @t149 () (not @t21)) % 14.22/14.43 (define @t150 () (or @t149 @t148 @t147)) % 14.22/14.43 (define @t151 () (@list @t1 @t145)) % 14.22/14.43 (define @t152 () (not (forall @t151 @t150))) % 14.22/14.43 (define @t153 () (= @t2 tptp.nil)) % 14.22/14.43 (define @t154 () (not @t17)) % 14.22/14.43 (define @t155 () (or @t154 @t153 @t152)) % 14.22/14.43 (define @t156 () (or @t153 @t152)) % 14.22/14.43 (define @t157 () (or @t148 @t147)) % 14.22/14.43 (define @t158 () (or @t149 @t157)) % 14.22/14.43 (define @t159 () (forall @t151 @t158)) % 14.22/14.43 (define @t160 () (@list @t145)) % 14.22/14.43 (define @t161 () (forall @t160 @t158)) % 14.22/14.43 (define @t162 () (forall @t160 @t157)) % 14.22/14.43 (define @t163 () (or @t149 @t162)) % 14.22/14.43 (define @t164 () (= @t2 @t64)) % 14.22/14.43 (define @t165 () (forall @t16 (or (not @t51) (not @t164)))) % 14.22/14.43 (define @t166 () (not @t165)) % 14.22/14.43 (define @t167 () (and @t21 @t166)) % 14.22/14.43 (define @t168 () (forall @t7 (not @t167))) % 14.22/14.43 (define @t169 () (not @t168)) % 14.22/14.43 (define @t170 () (and @t51 @t164)) % 14.22/14.43 (define @t171 () (forall @t16 (not @t170))) % 14.22/14.43 (define @t172 () (not @t171)) % 14.22/14.43 (define @t173 () (@var "BOUND_VARIABLE_11039" $$unsorted)) % 14.22/14.43 (define @t174 () (tptp.hd @t173)) % 14.22/14.43 (define @t175 () (tptp.cons @t174 tptp.nil)) % 14.22/14.43 (define @t176 () (and (tptp.neq tptp.nil @t173) (tptp.ssItem @t174) (tptp.ssList @t175) (not (= @t2 @t175)))) % 14.22/14.43 (define @t177 () (tptp.segmentP @t173 @t2)) % 14.22/14.43 (define @t178 () (not (tptp.neq @t173 tptp.nil))) % 14.22/14.43 (define @t179 () (not (tptp.ssList @t173))) % 14.22/14.43 (define @t180 () (or @t154 @t179 @t178 @t177 @t176)) % 14.22/14.43 (define @t181 () (@list @t2 @t173)) % 14.22/14.43 (define @t182 () (forall @t181 @t180)) % 14.22/14.43 (define @t183 () (@quantifiers_skolemize @t182 1)) % 14.22/14.43 (define @t184 () (not (= @t183 @t146))) % 14.22/14.43 (define @t185 () (or @t149 @t148 @t184)) % 14.22/14.43 (define @t186 () (forall @t151 @t185)) % 14.22/14.43 (define @t187 () (not @t186)) % 14.22/14.43 (define @t188 () (tptp.ssList @t183)) % 14.22/14.43 (define @t189 () (not @t188)) % 14.22/14.43 (define @t190 () (= @t183 tptp.nil)) % 14.22/14.43 (define @t191 () (or @t189 @t190 @t187)) % 14.22/14.43 (define @t192 () (forall @t9 @t155)) % 14.22/14.43 (define @t193 () (@list @t183)) % 14.22/14.43 (define @t194 () (forall @t151 (or @t149 @t148 (not (= @t146 @t183))))) % 14.22/14.43 (define @t195 () (not @t194)) % 14.22/14.43 (define @t196 () (= tptp.nil @t183)) % 14.22/14.43 (define @t197 () (or @t189 @t196 @t195)) % 14.22/14.43 (define @t198 () (@list false)) % 14.22/14.43 (define @t199 () (@var "BOUND_VARIABLE_9105" $$unsorted)) % 14.22/14.43 (define @t200 () (= (tptp.neq @t2 @t199) (not (= @t2 @t199)))) % 14.22/14.43 (define @t201 () (not (tptp.ssList @t199))) % 14.22/14.43 (define @t202 () (or @t154 @t201 @t200)) % 14.22/14.43 (define @t203 () (or @t201 @t200)) % 14.22/14.43 (define @t204 () (or @t154 @t203)) % 14.22/14.43 (define @t205 () (@list @t2 @t199)) % 14.22/14.43 (define @t206 () (forall @t205 @t204)) % 14.22/14.43 (define @t207 () (@list @t199)) % 14.22/14.43 (define @t208 () (forall @t207 @t204)) % 14.22/14.43 (define @t209 () (forall @t207 @t203)) % 14.22/14.43 (define @t210 () (@list @t1)) % 14.22/14.43 (define @t211 () (or @t154 @t209)) % 14.22/14.43 (define @t212 () (forall @t7 (or @t149 @t5))) % 14.22/14.43 (define @t213 () (not @t190)) % 14.22/14.43 (define @t214 () (tptp.neq @t183 tptp.nil)) % 14.22/14.43 (define @t215 () (= @t214 @t213)) % 14.22/14.43 (define @t216 () (or @t189 @t142 @t215)) % 14.22/14.43 (define @t217 () (forall @t205 @t202)) % 14.22/14.43 (define @t218 () (not @t196)) % 14.22/14.43 (define @t219 () (= @t214 @t218)) % 14.22/14.43 (define @t220 () (or @t189 @t142 @t219)) % 14.22/14.43 (define @t221 () (or @t179 @t178 @t177 @t176)) % 14.22/14.43 (define @t222 () (or @t154 @t221)) % 14.22/14.43 (define @t223 () (forall @t181 @t222)) % 14.22/14.43 (define @t224 () (@list @t173)) % 14.22/14.43 (define @t225 () (forall @t224 @t222)) % 14.22/14.43 (define @t226 () (forall @t224 @t221)) % 14.22/14.43 (define @t227 () (or @t154 @t226)) % 14.22/14.43 (define @t228 () (tptp.cons @t103 tptp.nil)) % 14.22/14.43 (define @t229 () (tptp.ssList @t228)) % 14.22/14.43 (define @t230 () (tptp.ssItem @t103)) % 14.22/14.43 (define @t231 () (tptp.neq tptp.nil @t1)) % 14.22/14.43 (define @t232 () (and @t231 @t230 @t229 (not (= @t2 @t228)))) % 14.22/14.43 (define @t233 () (or @t149 @t113 @t101 @t232)) % 14.22/14.43 (define @t234 () (or @t154 (forall @t7 @t233))) % 14.22/14.43 (define @t235 () (or @t154 @t233)) % 14.22/14.43 (define @t236 () (or @t149 @t113 @t101 @t154 @t232)) % 14.22/14.43 (define @t237 () (or @t154 @t232)) % 14.22/14.43 (define @t238 () (not (= @t2 @t2))) % 14.22/14.43 (define @t239 () (or @t154 @t238 @t232)) % 14.22/14.43 (define @t240 () (and @t231 @t230 @t229 (not (= @t12 @t228)))) % 14.22/14.43 (define @t241 () (not @t15)) % 14.22/14.43 (define @t242 () (or @t127 @t241 @t127 @t240)) % 14.22/14.43 (define @t243 () (or @t241 @t127 @t240)) % 14.22/14.43 (define @t244 () (forall @t16 @t243)) % 14.22/14.43 (define @t245 () (or @t149 @t113 @t101 @t244)) % 14.22/14.43 (define @t246 () (or @t149 @t113 @t101 @t243)) % 14.22/14.43 (define @t247 () (or @t241 @t127 @t149 @t113 @t240 @t101)) % 14.22/14.43 (define @t248 () (or @t113 @t240 @t101)) % 14.22/14.43 (define @t249 () (and @t248 true)) % 14.22/14.43 (define @t250 () (or @t241 @t127 @t149 @t249)) % 14.22/14.43 (define @t251 () (and @t248 (or @t113 @t112))) % 14.22/14.43 (define @t252 () (or @t127 @t149 @t251)) % 14.22/14.43 (define @t253 () (or @t149 @t251)) % 14.22/14.43 (define @t254 () (not (= @t1 @t1))) % 14.22/14.43 (define @t255 () (or @t149 @t254 @t251)) % 14.22/14.43 (define @t256 () (tptp.cons @t116 tptp.nil)) % 14.22/14.43 (define @t257 () (= @t12 @t256)) % 14.22/14.43 (define @t258 () (not @t257)) % 14.22/14.43 (define @t259 () (tptp.ssList @t256)) % 14.22/14.43 (define @t260 () (tptp.ssItem @t116)) % 14.22/14.43 (define @t261 () (and (or @t113 (and @t115 @t260 @t259 @t258) @t101) @t114)) % 14.22/14.43 (define @t262 () (not @t13)) % 14.22/14.43 (define @t263 () (or @t128 @t262 @t128 @t261)) % 14.22/14.43 (define @t264 () (or @t262 @t128 @t261)) % 14.22/14.43 (define @t265 () (forall @t14 @t264)) % 14.22/14.43 (define @t266 () (or @t127 @t265)) % 14.22/14.43 (define @t267 () (or @t127 @t264)) % 14.22/14.43 (define @t268 () (or @t262 @t128 @t127 @t261)) % 14.22/14.43 (define @t269 () (not @t259)) % 14.22/14.43 (define @t270 () (not @t269)) % 14.22/14.43 (define @t271 () (not @t260)) % 14.22/14.43 (define @t272 () (not @t271)) % 14.22/14.43 (define @t273 () (not @t115)) % 14.22/14.43 (define @t274 () (not @t273)) % 14.22/14.43 (define @t275 () (and @t274 @t272 @t270 @t258)) % 14.22/14.43 (define @t276 () (or @t269 @t257)) % 14.22/14.43 (define @t277 () (or @t273 @t271 @t269 @t257)) % 14.22/14.43 (define @t278 () (or @t113 (not @t277) @t101)) % 14.22/14.43 (define @t279 () (and @t278 @t114)) % 14.22/14.43 (define @t280 () (or @t128 @t127 @t279)) % 14.22/14.43 (define @t281 () (not (= @t256 @t256))) % 14.22/14.43 (define @t282 () (or @t269 @t257 @t281)) % 14.22/14.43 (define @t283 () (not (= @t45 @t256))) % 14.22/14.43 (define @t284 () (not @t49)) % 14.22/14.43 (define @t285 () (or @t283 @t284 @t121 @t283)) % 14.22/14.43 (define @t286 () (or @t284 @t121 @t283)) % 14.22/14.43 (define @t287 () (forall @t50 @t286)) % 14.22/14.43 (define @t288 () (or @t273 @t271 @t287)) % 14.22/14.43 (define @t289 () (or @t273 @t271 @t286)) % 14.22/14.43 (define @t290 () (or @t284 @t121 @t273 @t271 @t283)) % 14.22/14.43 (define @t291 () (or @t273 @t271 @t283)) % 14.22/14.43 (define @t292 () (not @t291)) % 14.22/14.43 (define @t293 () (not @t292)) % 14.22/14.43 (define @t294 () (not @t122)) % 14.22/14.43 (define @t295 () (or @t284 @t294 @t293)) % 14.22/14.43 (define @t296 () (and @t49 @t122 @t292)) % 14.22/14.43 (define @t297 () (forall @t50 (not @t296))) % 14.22/14.43 (define @t298 () (not @t297)) % 14.22/14.43 (define @t299 () (or @t271 @t283)) % 14.22/14.43 (define @t300 () (not (= @t116 @t116))) % 14.22/14.43 (define @t301 () (or @t271 @t283 @t300)) % 14.22/14.43 (define @t302 () (= @t44 @t116)) % 14.22/14.43 (define @t303 () (not @t302)) % 14.22/14.43 (define @t304 () (= @t45 @t117)) % 14.22/14.43 (define @t305 () (not @t304)) % 14.22/14.43 (define @t306 () (not @t118)) % 14.22/14.43 (define @t307 () (or @t303 @t306 @t305 @t303)) % 14.22/14.43 (define @t308 () (or @t306 @t305 @t303)) % 14.22/14.43 (define @t309 () (forall @t48 @t308)) % 14.22/14.43 (define @t310 () (or @t273 @t309)) % 14.22/14.43 (define @t311 () (or @t273 @t308)) % 14.22/14.43 (define @t312 () (or @t306 @t305 @t303 @t273)) % 14.22/14.43 (define @t313 () (and @t118 @t304 @t302 @t115)) % 14.22/14.43 (define @t314 () (forall @t48 (not @t313))) % 14.22/14.43 (define @t315 () (not @t314)) % 14.22/14.43 (define @t316 () (tptp.hd @t183)) % 14.22/14.43 (define @t317 () (tptp.cons @t316 tptp.nil)) % 14.22/14.43 (define @t318 () (@quantifiers_skolemize @t182 0)) % 14.22/14.43 (define @t319 () (= @t318 @t317)) % 14.22/14.43 (define @t320 () (not @t319)) % 14.22/14.43 (define @t321 () (tptp.ssList @t317)) % 14.22/14.43 (define @t322 () (tptp.ssItem @t316)) % 14.22/14.43 (define @t323 () (tptp.neq tptp.nil @t183)) % 14.22/14.43 (define @t324 () (and @t323 @t322 @t321 @t320)) % 14.22/14.43 (define @t325 () (tptp.segmentP @t183 @t318)) % 14.22/14.43 (define @t326 () (not @t214)) % 14.22/14.43 (define @t327 () (tptp.ssList @t318)) % 14.22/14.43 (define @t328 () (not @t327)) % 14.22/14.43 (define @t329 () (or @t328 @t189 @t326 @t325 @t324)) % 14.22/14.43 (define @t330 () (@list true)) % 14.22/14.43 (define @t331 () (@list @t329)) % 14.22/14.43 (define @t332 () (@list false false false)) % 14.22/14.43 (define @t333 () (@list false true false)) % 14.22/14.43 (define @t334 () (@quantifiers_skolemize @t194 0)) % 14.22/14.43 (define @t335 () (@quantifiers_skolemize @t194 1)) % 14.22/14.43 (define @t336 () (tptp.cons @t335 @t334)) % 14.22/14.43 (define @t337 () (= @t183 @t336)) % 14.22/14.43 (define @t338 () (not @t337)) % 14.22/14.43 (define @t339 () (tptp.ssItem @t335)) % 14.22/14.43 (define @t340 () (not @t339)) % 14.22/14.43 (define @t341 () (tptp.ssList @t334)) % 14.22/14.43 (define @t342 () (not @t341)) % 14.22/14.43 (define @t343 () (or @t342 @t340 @t338)) % 14.22/14.43 (define @t344 () (not @t343)) % 14.22/14.43 (define @t345 () (not (= @t336 @t183))) % 14.22/14.43 (define @t346 () (or @t342 @t340 @t345)) % 14.22/14.43 (define @t347 () (not @t346)) % 14.22/14.43 (define @t348 () (@list @t343)) % 14.22/14.43 (define @t349 () (@var "BOUND_VARIABLE_9320" $$unsorted)) % 14.22/14.43 (define @t350 () (= @t349 (tptp.hd (tptp.cons @t349 @t2)))) % 14.22/14.43 (define @t351 () (not (tptp.ssItem @t349))) % 14.22/14.43 (define @t352 () (or @t351 @t350)) % 14.22/14.43 (define @t353 () (or @t154 @t352)) % 14.22/14.43 (define @t354 () (forall (@list @t2 @t349) @t353)) % 14.22/14.43 (define @t355 () (@list @t349)) % 14.22/14.43 (define @t356 () (forall @t355 @t353)) % 14.22/14.43 (define @t357 () (forall @t355 @t352)) % 14.22/14.43 (define @t358 () (or @t154 @t357)) % 14.22/14.43 (define @t359 () (= @t1 @t79)) % 14.22/14.43 (define @t360 () (not @t6)) % 14.22/14.43 (define @t361 () (forall @t7 (or @t360 @t359))) % 14.22/14.43 (define @t362 () (@list @t334 @t335)) % 14.22/14.43 (define @t363 () (tptp.hd @t336)) % 14.22/14.43 (define @t364 () (= @t335 @t363)) % 14.22/14.43 (define @t365 () (or @t342 @t340 @t364)) % 14.22/14.43 (define @t366 () (@var "BOUND_VARIABLE_10529" $$unsorted)) % 14.22/14.43 (define @t367 () (= (tptp.cons @t366 @t2) (tptp.app (tptp.cons @t366 tptp.nil) @t2))) % 14.22/14.43 (define @t368 () (not (tptp.ssItem @t366))) % 14.22/14.43 (define @t369 () (or @t368 @t367)) % 14.22/14.43 (define @t370 () (or @t154 @t369)) % 14.22/14.43 (define @t371 () (forall (@list @t2 @t366) @t370)) % 14.22/14.43 (define @t372 () (@list @t366)) % 14.22/14.43 (define @t373 () (forall @t372 @t370)) % 14.22/14.43 (define @t374 () (forall @t372 @t369)) % 14.22/14.43 (define @t375 () (or @t154 @t374)) % 14.22/14.43 (define @t376 () (forall @t7 (or @t360 @t108))) % 14.22/14.43 (define @t377 () (tptp.cons @t335 tptp.nil)) % 14.22/14.43 (define @t378 () (tptp.app @t377 @t334)) % 14.22/14.43 (define @t379 () (= @t336 @t378)) % 14.22/14.43 (define @t380 () (or @t342 @t340 @t379)) % 14.22/14.43 (define @t381 () (@list @t341 @t339 @t380)) % 14.22/14.43 (define @t382 () (@var "BOUND_VARIABLE_9126" $$unsorted)) % 14.22/14.43 (define @t383 () (tptp.ssList (tptp.cons @t382 @t2))) % 14.22/14.43 (define @t384 () (not (tptp.ssItem @t382))) % 14.22/14.43 (define @t385 () (or @t384 @t383)) % 14.22/14.43 (define @t386 () (or @t154 @t385)) % 14.22/14.43 (define @t387 () (forall (@list @t2 @t382) @t386)) % 14.22/14.43 (define @t388 () (@list @t382)) % 14.22/14.43 (define @t389 () (forall @t388 @t386)) % 14.22/14.43 (define @t390 () (forall @t388 @t385)) % 14.22/14.43 (define @t391 () (or @t154 @t390)) % 14.22/14.43 (define @t392 () (forall @t7 (or @t360 @t58))) % 14.22/14.43 (define @t393 () (or @t154 @t153 @t74)) % 14.22/14.43 (define @t394 () (not @t153)) % 14.22/14.43 (define @t395 () (=> @t394 @t74)) % 14.22/14.43 (define @t396 () (or @t189 @t190 @t322)) % 14.22/14.43 (define @t397 () (forall @t9 @t393)) % 14.22/14.43 (define @t398 () (or @t189 @t196 @t322)) % 14.22/14.43 (define @t399 () (not @t322)) % 14.22/14.43 (define @t400 () (or @t142 @t399 @t321)) % 14.22/14.43 (define @t401 () (= @t323 @t218)) % 14.22/14.43 (define @t402 () (or @t142 @t189 @t401)) % 14.22/14.43 (define @t403 () (not @t401)) % 14.22/14.43 (define @t404 () (@list true false)) % 14.22/14.43 (define @t405 () (not @t321)) % 14.22/14.43 (define @t406 () (not @t323)) % 14.22/14.43 (define @t407 () (@var "BOUND_VARIABLE_8351" $$unsorted)) % 14.22/14.43 (define @t408 () (= (tptp.rearsegP @t2 @t407) (not (forall @t16 (or @t241 (not (= @t2 (tptp.app @t12 @t407)))))))) % 14.22/14.43 (define @t409 () (not (tptp.ssList @t407))) % 14.22/14.43 (define @t410 () (or @t409 @t408)) % 14.22/14.43 (define @t411 () (or @t154 @t410)) % 14.22/14.43 (define @t412 () (forall (@list @t2 @t407) @t411)) % 14.22/14.43 (define @t413 () (@list @t407)) % 14.22/14.43 (define @t414 () (forall @t413 @t411)) % 14.22/14.43 (define @t415 () (forall @t413 @t410)) % 14.22/14.43 (define @t416 () (or @t154 @t415)) % 14.22/14.43 (define @t417 () (= @t2 @t22)) % 14.22/14.43 (define @t418 () (= @t25 (not (forall @t16 (or @t241 (not @t417)))))) % 14.22/14.43 (define @t419 () (forall @t7 (or @t149 @t418))) % 14.22/14.43 (define @t420 () (and @t15 @t417)) % 14.22/14.43 (define @t421 () (forall @t16 (not @t420))) % 14.22/14.43 (define @t422 () (not @t421)) % 14.22/14.43 (define @t423 () (tptp.app @t12 @t318)) % 14.22/14.43 (define @t424 () (forall @t16 (or @t241 (not (= @t318 @t423))))) % 14.22/14.43 (define @t425 () (not @t424)) % 14.22/14.43 (define @t426 () (tptp.rearsegP @t318 @t318)) % 14.22/14.43 (define @t427 () (= @t426 @t425)) % 14.22/14.43 (define @t428 () (or @t328 @t328 @t427)) % 14.22/14.43 (define @t429 () (or @t328 @t426)) % 14.22/14.43 (define @t430 () (@quantifiers_skolemize @t424 0)) % 14.22/14.43 (define @t431 () (tptp.app @t430 @t318)) % 14.22/14.43 (define @t432 () (= @t318 @t431)) % 14.22/14.43 (define @t433 () (not @t432)) % 14.22/14.43 (define @t434 () (tptp.ssList @t430)) % 14.22/14.43 (define @t435 () (not @t434)) % 14.22/14.43 (define @t436 () (or @t435 @t433)) % 14.22/14.43 (define @t437 () (@list @t436)) % 14.22/14.43 (define @t438 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 14.22/14.43 (define @t439 () (@var "BOUND_VARIABLE_8410" $$unsorted)) % 14.22/14.43 (define @t440 () (not (tptp.ssList @t438))) % 14.22/14.43 (define @t441 () (@list @t12 @t438)) % 14.22/14.43 (define @t442 () (= (tptp.segmentP @t2 @t439) (not (forall @t441 (or @t241 @t440 (not (= @t2 (tptp.app (tptp.app @t12 @t439) @t438)))))))) % 14.22/14.43 (define @t443 () (not (tptp.ssList @t439))) % 14.22/14.43 (define @t444 () (or @t443 @t442)) % 14.22/14.43 (define @t445 () (or @t154 @t444)) % 14.22/14.43 (define @t446 () (forall (@list @t2 @t439) @t445)) % 14.22/14.43 (define @t447 () (@list @t439)) % 14.22/14.43 (define @t448 () (forall @t447 @t445)) % 14.22/14.43 (define @t449 () (forall @t447 @t444)) % 14.22/14.43 (define @t450 () (or @t154 @t449)) % 14.22/14.43 (define @t451 () (not (= @t2 (tptp.app @t22 @t438)))) % 14.22/14.43 (define @t452 () (or @t241 @t440 @t451)) % 14.22/14.43 (define @t453 () (= @t36 (not (forall @t441 @t452)))) % 14.22/14.43 (define @t454 () (forall @t7 (or @t149 @t453))) % 14.22/14.43 (define @t455 () (or @t440 @t451)) % 14.22/14.43 (define @t456 () (or @t241 @t455)) % 14.22/14.43 (define @t457 () (forall @t441 @t456)) % 14.22/14.43 (define @t458 () (@list @t438)) % 14.22/14.43 (define @t459 () (forall @t458 @t456)) % 14.22/14.43 (define @t460 () (forall @t458 @t455)) % 14.22/14.43 (define @t461 () (or @t241 @t460)) % 14.22/14.43 (define @t462 () (= @t2 @t31)) % 14.22/14.43 (define @t463 () (forall @t14 (or @t262 (not @t462)))) % 14.22/14.43 (define @t464 () (not @t463)) % 14.22/14.43 (define @t465 () (and @t15 @t464)) % 14.22/14.43 (define @t466 () (forall @t16 (not @t465))) % 14.22/14.43 (define @t467 () (not @t466)) % 14.22/14.43 (define @t468 () (and @t13 @t462)) % 14.22/14.43 (define @t469 () (forall @t14 (not @t468))) % 14.22/14.43 (define @t470 () (not @t469)) % 14.22/14.43 (define @t471 () (forall @t441 (or @t241 @t440 (not (= @t183 (tptp.app @t423 @t438)))))) % 14.22/14.43 (define @t472 () (not @t471)) % 14.22/14.43 (define @t473 () (= @t325 @t472)) % 14.22/14.43 (define @t474 () (or @t189 @t328 @t473)) % 14.22/14.43 (define @t475 () (not @t473)) % 14.22/14.43 (define @t476 () (= @t183 (tptp.app @t431 @t334))) % 14.22/14.43 (define @t477 () (not @t476)) % 14.22/14.43 (define @t478 () (or @t435 @t342 @t477)) % 14.22/14.43 (define @t479 () (not @t379)) % 14.22/14.43 (define @t480 () (not @t364)) % 14.22/14.43 (define @t481 () (not @t141)) % 14.22/14.43 (define @t482 () (tptp.app @t318 @t334)) % 14.22/14.43 (define @t483 () (tptp.cons @t316 @t140)) % 14.22/14.43 (define @t484 () (and @t476 @t477)) % 14.22/14.43 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 14.22/14.43 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 14.22/14.43 (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))))))))))) % 14.22/14.43 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 14.22/14.43 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 14.22/14.43 (assume @p6 @t30) % 14.22/14.43 (assume @p7 @t41) % 14.22/14.43 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (not (and @t43 @t42))))))))))))))))) % 14.22/14.43 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (or @t43 @t42)))))))))))))))) % 14.22/14.43 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (or @t52 (tptp.lt @t12 @t1))))))))))))))))) % 14.22/14.43 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 @t43))))))))))))))) % 14.22/14.43 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 @t52))))))))))))))) % 14.22/14.43 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (not @t53)))))))))))))))) % 14.22/14.43 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t45))) @t2) @t53))))))))))))) % 14.22/14.43 (assume @p15 @t56) % 14.22/14.43 (assume @p16 @t61) % 14.22/14.43 (assume @p17 @t62) % 14.22/14.43 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t57 @t2))))))) % 14.22/14.43 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t51 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t63))))))))))) % 14.22/14.43 (assume @p20 @t72) % 14.22/14.43 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t57))))))) % 14.22/14.43 (assume @p22 @t78) % 14.22/14.43 (assume @p23 @t83) % 14.22/14.43 (assume @p24 (forall @t9 (=> @t17 (=> @t75 (tptp.ssList @t84))))) % 14.22/14.43 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t57) @t2)))))) % 14.22/14.43 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t85)))))) % 14.22/14.43 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t51 (= (tptp.cons @t12 @t86) (tptp.app @t64 @t2))))))))) % 14.22/14.43 (assume @p28 @t89) % 14.22/14.43 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t91 @t90) @t3)))))) % 14.22/14.43 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t91 @t43) (tptp.leq @t2 @t12))))))))) % 14.22/14.43 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 14.22/14.43 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t92 @t90)))))) % 14.22/14.43 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t94 (not @t93))))))) % 14.22/14.43 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t94 @t52) @t95)))))))) % 14.22/14.43 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t96 @t93)))))) % 14.22/14.43 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t97))))))))) % 14.22/14.43 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t97))))))))) % 14.22/14.43 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 14.22/14.43 (assume @p39 (not (tptp.singletonP tptp.nil))) % 14.22/14.43 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 14.22/14.43 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 14.22/14.43 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 14.22/14.43 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 14.22/14.43 (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)))))))))))) % 14.22/14.43 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 14.22/14.43 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t69)))) % 14.22/14.43 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t25 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 14.22/14.43 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t25 (tptp.rearsegP @t1 @t2)) @t3)))))) % 14.22/14.43 (assume @p49 @t99) % 14.22/14.43 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t25 (tptp.rearsegP @t100 @t1))))))))) % 14.22/14.43 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 14.22/14.43 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t69)))) % 14.22/14.43 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t36 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 14.22/14.43 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t36 @t101) @t3)))))) % 14.22/14.43 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 14.22/14.43 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t36 (tptp.segmentP (tptp.app @t100 @t10) @t1))))))))))) % 14.22/14.43 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 14.22/14.43 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t69)))) % 14.22/14.43 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t102)))) % 14.22/14.43 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 14.22/14.43 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t102)))) % 14.22/14.43 (assume @p62 (tptp.totalorderP tptp.nil)) % 14.22/14.43 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t102)))) % 14.22/14.43 (assume @p64 (tptp.strictorderP tptp.nil)) % 14.22/14.43 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t102)))) % 14.22/14.43 (assume @p66 (tptp.totalorderedP tptp.nil)) % 14.22/14.43 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t106) (or @t104 (and @t105 (tptp.totalorderedP @t1) (tptp.leq @t2 @t103))))))))) % 14.22/14.43 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t102)))) % 14.22/14.43 (assume @p69 (tptp.strictorderedP tptp.nil)) % 14.22/14.43 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t106) (or @t104 (and @t105 (tptp.strictorderedP @t1) (tptp.lt @t2 @t103))))))))) % 14.22/14.43 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t102)))) % 14.22/14.43 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 14.22/14.43 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t102)))) % 14.22/14.43 (assume @p74 (tptp.equalelemsP tptp.nil)) % 14.22/14.43 (assume @p75 (forall @t9 (=> @t17 (=> @t75 (exists @t7 (and @t6 (= @t73 @t1))))))) % 14.22/14.43 (assume @p76 (forall @t9 (=> @t17 (=> @t75 (exists @t7 (and @t21 (= @t84 @t1))))))) % 14.22/14.43 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t105 @t75 (= @t103 @t73) (= (tptp.tl @t1) @t84)) @t63)))))) % 14.22/14.43 (assume @p78 (forall @t9 (=> @t17 (=> @t75 (= (tptp.cons @t73 @t84) @t2))))) % 14.22/14.43 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t85) @t107)))))))) % 14.22/14.43 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t86) @t107)))))))) % 14.22/14.43 (assume @p81 @t111) % 14.22/14.43 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t85 @t12) (tptp.app @t2 @t19))))))))) % 14.22/14.43 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t85) (and @t104 @t69))))))) % 14.22/14.43 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 14.22/14.43 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t75 (= (tptp.hd @t85) @t73))))))) % 14.22/14.43 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t75 (= (tptp.tl @t85) (tptp.app @t84 @t1)))))))) % 14.22/14.43 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t92 (tptp.geq @t1 @t2)) @t3)))))) % 14.22/14.43 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t92 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 14.22/14.43 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 14.22/14.43 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 14.22/14.43 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t91 @t52) @t95)))))))) % 14.22/14.43 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t91 (or @t3 @t94))))))) % 14.22/14.43 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t94 (and @t4 @t91))))))) % 14.22/14.43 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t96 (not (tptp.gt @t1 @t2)))))))) % 14.22/14.43 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t96 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 14.22/14.43 (assume @p96 @t138) % 14.22/14.43 (assume @p97 true) % 14.22/14.43 (step @p98 :rule bool-impl-elim :args (@t17 @t139)) % 14.22/14.43 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t139)))) % 14.22/14.43 (step @p100 :rule eq-symm :args (@t87 @t2)) % 14.22/14.43 (step @p101 :rule refl :args (@t17)) % 14.22/14.43 (step @p102 :rule cong :premises (@p101 @p100) :args (@t88)) % 14.22/14.43 (step @p103 :rule cong :premises (@p102) :args (@t89)) % 14.22/14.43 (step @p104 :rule trans :premises (@p103 @p99)) % 14.22/14.43 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 14.22/14.43 (step @p106 :rule instantiate :premises (@p105) :args ((@list tptp.nil))) % 14.22/14.43 (step @p107 :rule cnf_or_pos :args (@t143)) % 14.22/14.43 (step @p108 :rule reordering :premises (@p107) :args ((or @t142 @t141 (not @t143)))) % 14.22/14.43 (step @p109 :rule chain_m_resolution :premises (@p108 @p17 @p106) :args (@t141 @t144 (@list @t62 @t143))) % 14.22/14.43 (step @p110 :rule aci_norm :args ((= (or @t154 @t156) @t155))) % 14.22/14.43 (step @p111 :rule bool-impl-elim :args (@t17 @t156)) % 14.22/14.43 (step @p112 :rule trans :premises (@p111 @p110)) % 14.22/14.43 (step @p113 :rule cong :premises (@p112) :args ((forall @t9 (=> @t17 @t156)))) % 14.22/14.43 (step @p114 :rule aci_norm :args ((= @t158 @t150))) % 14.22/14.43 (step @p115 :rule cong :premises (@p114) :args (@t159)) % 14.22/14.43 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t161) @t159))) % 14.22/14.43 (step @p117 :rule alpha_equiv :args (@t162 (@list @t145) (@list @t12))) % 14.22/14.43 (step @p118 :rule refl :args (@t149)) % 14.22/14.43 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t163)) % 14.22/14.43 (step @p120 :rule quant-miniscope-or :args ((= @t161 @t163))) % 14.22/14.43 (step @p121 :rule trans :premises (@p120 @p119)) % 14.22/14.43 (step @p122 :rule symm :premises (@p121)) % 14.22/14.43 (step @p123 :rule cong :premises (@p122) :args ((forall @t7 (or @t149 @t165)))) % 14.22/14.43 (step @p124 :rule trans :premises (@p123 @p116)) % 14.22/14.43 (step @p125 :rule trans :premises (@p124 @p115)) % 14.22/14.43 (step @p126 :rule bool-double-not-elim :args (@t165)) % 14.22/14.43 (step @p127 :rule nary_cong :premises (@p118 @p126) :args ((or @t149 (not @t166)))) % 14.22/14.43 (step @p128 :rule bool-and-de-morgan :args (@t21 @t166 true)) % 14.22/14.43 (step @p129 :rule trans :premises (@p128 @p127)) % 14.22/14.43 (step @p130 :rule cong :premises (@p129) :args (@t168)) % 14.22/14.43 (step @p131 :rule trans :premises (@p130 @p125)) % 14.22/14.43 (step @p132 :rule cong :premises (@p131) :args (@t169)) % 14.22/14.43 (step @p133 :rule exists-elim :args ((= (exists @t7 @t167) @t169))) % 14.22/14.43 (step @p134 :rule trans :premises (@p133 @p132)) % 14.22/14.43 (step @p135 :rule bool-and-de-morgan :args (@t51 @t164 true)) % 14.22/14.43 (step @p136 :rule cong :premises (@p135) :args (@t171)) % 14.22/14.43 (step @p137 :rule cong :premises (@p136) :args (@t172)) % 14.22/14.43 (step @p138 :rule exists-elim :args ((= (exists @t16 @t170) @t172))) % 14.22/14.43 (step @p139 :rule trans :premises (@p138 @p137)) % 14.22/14.43 (step @p140 :rule eq-symm :args (@t64 @t2)) % 14.22/14.43 (step @p141 :rule refl :args (@t51)) % 14.22/14.43 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t65)) % 14.22/14.43 (step @p143 :rule cong :premises (@p142) :args (@t66)) % 14.22/14.43 (step @p144 :rule trans :premises (@p143 @p139)) % 14.22/14.43 (step @p145 :rule refl :args (@t21)) % 14.22/14.43 (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t67)) % 14.22/14.43 (step @p147 :rule cong :premises (@p146) :args (@t68)) % 14.22/14.43 (step @p148 :rule trans :premises (@p147 @p134)) % 14.22/14.43 (step @p149 :rule eq-symm :args (tptp.nil @t2)) % 14.22/14.43 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t70)) % 14.22/14.43 (step @p151 :rule cong :premises (@p101 @p150) :args (@t71)) % 14.22/14.43 (step @p152 :rule cong :premises (@p151) :args (@t72)) % 14.22/14.43 (step @p153 :rule trans :premises (@p152 @p113)) % 14.22/14.43 (step @p154 :rule eq_resolve :premises (@p20 @p153)) % 14.22/14.43 (step @p155 :rule eq-symm :args (@t183 @t146)) % 14.22/14.43 (step @p156 :rule cong :premises (@p155) :args (@t184)) % 14.22/14.43 (step @p157 :rule refl :args (@t148)) % 14.22/14.43 (step @p158 :rule refl :args (@t149)) % 14.22/14.43 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156) :args (@t185)) % 14.22/14.43 (step @p160 :rule cong :premises (@p159) :args (@t186)) % 14.22/14.43 (step @p161 :rule cong :premises (@p160) :args (@t187)) % 14.22/14.43 (step @p162 :rule eq-symm :args (@t183 tptp.nil)) % 14.22/14.43 (step @p163 :rule refl :args (@t189)) % 14.22/14.43 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args (@t191)) % 14.22/14.43 (step @p165 :rule refl :args (@t192)) % 14.22/14.43 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t192 @t191))) % 14.22/14.43 (assume-push @p845 @t192) % 14.22/14.43 (step @p168 :rule instantiate :premises (@p154) :args (@t193)) % 14.22/14.43 (step-pop @p846 :rule scope :premises (@p168)) % 14.22/14.43 (step @p169 :rule process_scope :premises (@p846) :args (@t191)) % 14.22/14.43 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 14.22/14.43 (step @p172 :rule implies_elim :premises (@p171)) % 14.22/14.43 (step @p173 :rule chain_m_resolution :premises (@p172 @p154) :args (@t197 @t198 (@list @t192))) % 14.22/14.43 (step @p174 :rule aci_norm :args ((= @t204 @t202))) % 14.22/14.43 (step @p175 :rule cong :premises (@p174) :args (@t206)) % 14.22/14.43 (step @p176 :rule quant-merge-prenex :args ((= (forall @t9 @t208) @t206))) % 14.22/14.43 (step @p177 :rule alpha_equiv :args (@t209 (@list @t199) @t210)) % 14.22/14.43 (step @p178 :rule refl :args (@t154)) % 14.22/14.43 (step @p179 :rule nary_cong :premises (@p178 @p177) :args (@t211)) % 14.22/14.43 (step @p180 :rule quant-miniscope-or :args ((= @t208 @t211))) % 14.22/14.43 (step @p181 :rule trans :premises (@p180 @p179)) % 14.22/14.43 (step @p182 :rule symm :premises (@p181)) % 14.22/14.43 (step @p183 :rule cong :premises (@p182) :args ((forall @t9 (or @t154 @t212)))) % 14.22/14.43 (step @p184 :rule trans :premises (@p183 @p176)) % 14.22/14.43 (step @p185 :rule trans :premises (@p184 @p175)) % 14.22/14.43 (step @p186 :rule bool-impl-elim :args (@t17 @t212)) % 14.22/14.43 (step @p187 :rule cong :premises (@p186) :args ((forall @t9 (=> @t17 @t212)))) % 14.22/14.43 (step @p188 :rule trans :premises (@p187 @p185)) % 14.22/14.43 (step @p189 :rule bool-impl-elim :args (@t21 @t5)) % 14.22/14.43 (step @p190 :rule cong :premises (@p189) :args (@t54)) % 14.22/14.43 (step @p191 :rule cong :premises (@p101 @p190) :args (@t55)) % 14.22/14.43 (step @p192 :rule cong :premises (@p191) :args (@t56)) % 14.22/14.43 (step @p193 :rule trans :premises (@p192 @p188)) % 14.22/14.43 (step @p194 :rule eq_resolve :premises (@p15 @p193)) % 14.22/14.43 (step @p195 :rule cong :premises (@p162) :args (@t213)) % 14.22/14.43 (step @p196 :rule refl :args (@t214)) % 14.22/14.43 (step @p197 :rule cong :premises (@p196 @p195) :args (@t215)) % 14.22/14.43 (step @p198 :rule refl :args (@t142)) % 14.22/14.43 (step @p199 :rule nary_cong :premises (@p163 @p198 @p197) :args (@t216)) % 14.22/14.43 (step @p200 :rule refl :args (@t217)) % 14.22/14.43 (step @p201 :rule cong :premises (@p200 @p199) :args ((=> @t217 @t216))) % 14.22/14.43 (assume-push @p847 @t217) % 14.22/14.43 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@t332 (@list @t62 @t188 @t402))) % 14.22/14.43 (step @p625 :rule bool-double-not-elim :args (@t196)) % 14.22/14.43 (step @p626 :rule refl :args (@t323)) % 14.22/14.43 (step @p627 :rule refl :args (@t403)) % 14.22/14.43 (step @p628 :rule nary_cong :premises (@p627 @p626 @p625) :args ((or @t403 @t323 (not @t218)))) % 14.22/14.43 (step @p629 :rule cnf_equiv_pos2 :args (@t401)) % 14.22/14.43 (step @p630 :rule eq_resolve :premises (@p629 @p628)) % 14.22/14.43 (step @p631 :rule reordering :premises (@p630) :args ((or @t323 @t196 @t403))) % 14.22/14.43 (step @p632 :rule chain_m_resolution :premises (@p631 @p470 @p624) :args (@t323 @t404 (@list @t196 @t401))) % 14.22/14.43 (step @p633 :rule cnf_or_neg :args (@t329 4)) % 14.22/14.43 (step @p634 :rule chain_m_resolution :premises (@p633 @p451) :args ((not @t324) @t330 @t331)) % 14.22/14.43 (step @p635 :rule bool-double-not-elim :args (@t319)) % 14.22/14.43 (step @p636 :rule refl :args (@t405)) % 14.22/14.43 (step @p637 :rule refl :args (@t399)) % 14.22/14.43 (step @p638 :rule refl :args (@t406)) % 14.22/14.43 (step @p639 :rule refl :args (@t324)) % 14.22/14.43 (step @p640 :rule nary_cong :premises (@p639 @p638 @p637 @p636 @p635) :args ((or @t324 @t406 @t399 @t405 (not @t320)))) % 14.22/14.43 (step @p641 :rule cnf_and_neg :args (@t324)) % 14.22/14.43 (step @p642 :rule eq_resolve :premises (@p641 @p640)) % 14.22/14.43 (step @p643 :rule reordering :premises (@p642) :args ((or @t319 @t324 @t406 @t399 @t405))) % 14.22/14.43 (step @p644 :rule chain_m_resolution :premises (@p643 @p634 @p632 @p617 @p620) :args (@t319 (@list true false false false) (@list @t324 @t323 @t322 @t321))) % 14.22/14.43 (step @p645 :rule aci_norm :args ((= @t411 (or @t154 @t409 @t408)))) % 14.22/14.43 (step @p646 :rule cong :premises (@p645) :args (@t412)) % 14.22/14.43 (step @p647 :rule quant-merge-prenex :args ((= (forall @t9 @t414) @t412))) % 14.22/14.43 (step @p648 :rule alpha_equiv :args (@t415 (@list @t407) @t210)) % 14.22/14.43 (step @p649 :rule nary_cong :premises (@p178 @p648) :args (@t416)) % 14.22/14.43 (step @p650 :rule quant-miniscope-or :args ((= @t414 @t416))) % 14.22/14.43 (step @p651 :rule trans :premises (@p650 @p649)) % 14.22/14.43 (step @p652 :rule symm :premises (@p651)) % 14.22/14.43 (step @p653 :rule cong :premises (@p652) :args ((forall @t9 (or @t154 @t419)))) % 14.22/14.43 (step @p654 :rule trans :premises (@p653 @p647)) % 14.22/14.43 (step @p655 :rule trans :premises (@p654 @p646)) % 14.22/14.43 (step @p656 :rule bool-impl-elim :args (@t17 @t419)) % 14.22/14.43 (step @p657 :rule cong :premises (@p656) :args ((forall @t9 (=> @t17 @t419)))) % 14.22/14.43 (step @p658 :rule trans :premises (@p657 @p655)) % 14.22/14.43 (step @p659 :rule bool-impl-elim :args (@t21 @t418)) % 14.22/14.43 (step @p660 :rule cong :premises (@p659) :args ((forall @t7 (=> @t21 @t418)))) % 14.22/14.43 (step @p661 :rule bool-and-de-morgan :args (@t15 @t417 true)) % 14.22/14.43 (step @p662 :rule cong :premises (@p661) :args (@t421)) % 14.22/14.43 (step @p663 :rule cong :premises (@p662) :args (@t422)) % 14.22/14.43 (step @p664 :rule exists-elim :args ((= (exists @t16 @t420) @t422))) % 14.22/14.43 (step @p665 :rule trans :premises (@p664 @p663)) % 14.22/14.43 (step @p666 :rule eq-symm :args (@t22 @t2)) % 14.22/14.43 (step @p667 :rule nary_cong :premises (@p439 @p666) :args (@t23)) % 14.22/14.43 (step @p668 :rule cong :premises (@p667) :args (@t24)) % 14.22/14.43 (step @p669 :rule trans :premises (@p668 @p665)) % 14.22/14.43 (step @p670 :rule refl :args (@t25)) % 14.22/14.43 (step @p671 :rule cong :premises (@p670 @p669) :args (@t26)) % 14.22/14.43 (step @p672 :rule cong :premises (@p145 @p671) :args (@t27)) % 14.22/14.43 (step @p673 :rule cong :premises (@p672) :args (@t28)) % 14.22/14.43 (step @p674 :rule trans :premises (@p673 @p660)) % 14.22/14.43 (step @p675 :rule cong :premises (@p101 @p674) :args (@t29)) % 14.22/14.43 (step @p676 :rule cong :premises (@p675) :args (@t30)) % 14.22/14.43 (step @p677 :rule trans :premises (@p676 @p658)) % 14.22/14.43 (step @p678 :rule eq_resolve :premises (@p6 @p677)) % 14.22/14.43 (step @p679 :rule instantiate :premises (@p678) :args ((@list @t318 @t318))) % 14.22/14.43 (step @p680 :rule bool-double-not-elim :args (@t327)) % 14.22/14.43 (step @p681 :rule nary_cong :premises (@p453 @p680) :args ((or @t329 (not @t328)))) % 14.22/14.43 (step @p682 :rule cnf_or_neg :args (@t329 0)) % 14.22/14.43 (step @p683 :rule eq_resolve :premises (@p682 @p681)) % 14.22/14.43 (step @p684 :rule reordering :premises (@p683) :args ((or @t327 @t329))) % 14.22/14.43 (step @p685 :rule chain_m_resolution :premises (@p684 @p451) :args (@t327 @t330 @t331)) % 14.22/14.43 (step @p686 :rule cnf_or_pos :args (@t428)) % 14.22/14.43 (step @p687 :rule factoring :premises (@p686)) % 14.22/14.43 (step @p688 :rule reordering :premises (@p687) :args ((or @t328 @t427 (not @t428)))) % 14.22/14.43 (step @p689 :rule chain_m_resolution :premises (@p688 @p685 @p679) :args (@t427 @t144 (@list @t327 @t428))) % 14.22/14.43 (step @p690 :rule bool-impl-elim :args (@t17 @t98)) % 14.22/14.43 (step @p691 :rule cong :premises (@p690) :args (@t99)) % 14.22/14.43 (step @p692 :rule eq_resolve :premises (@p49 @p691)) % 14.22/14.43 (step @p693 :rule instantiate :premises (@p692) :args ((@list @t318))) % 14.22/14.43 (step @p694 :rule cnf_or_pos :args (@t429)) % 14.22/14.43 (step @p695 :rule reordering :premises (@p694) :args ((or @t328 @t426 (not @t429)))) % 14.22/14.43 (step @p696 :rule chain_m_resolution :premises (@p695 @p685 @p693) :args (@t426 @t144 (@list @t327 @t429))) % 14.22/14.43 (step @p697 :rule cnf_equiv_pos1 :args (@t427)) % 14.22/14.43 (step @p698 :rule reordering :premises (@p697) :args ((or (not @t426) @t425 (not @t427)))) % 14.22/14.43 (step @p699 :rule chain_m_resolution :premises (@p698 @p696 @p689) :args (@t425 @t144 (@list @t426 @t427))) % 14.22/14.43 (step @p700 :rule skolemize :premises (@p699)) % 14.22/14.43 (step @p701 :rule bool-double-not-elim :args (@t432)) % 14.22/14.43 (step @p702 :rule refl :args (@t436)) % 14.22/14.43 (step @p703 :rule nary_cong :premises (@p702 @p701) :args ((or @t436 (not @t433)))) % 14.22/14.43 (step @p704 :rule cnf_or_neg :args (@t436 1)) % 14.22/14.43 (step @p705 :rule eq_resolve :premises (@p704 @p703)) % 14.22/14.43 (step @p706 :rule reordering :premises (@p705) :args ((or @t432 @t436))) % 14.22/14.43 (step @p707 :rule chain_m_resolution :premises (@p706 @p700) :args (@t432 @t330 @t437)) % 14.22/14.43 (step @p708 :rule aci_norm :args ((= @t445 (or @t154 @t443 @t442)))) % 14.22/14.43 (step @p709 :rule cong :premises (@p708) :args (@t446)) % 14.22/14.43 (step @p710 :rule quant-merge-prenex :args ((= (forall @t9 @t448) @t446))) % 14.22/14.43 (step @p711 :rule alpha_equiv :args (@t449 (@list @t439) @t210)) % 14.22/14.43 (step @p712 :rule nary_cong :premises (@p178 @p711) :args (@t450)) % 14.22/14.43 (step @p713 :rule quant-miniscope-or :args ((= @t448 @t450))) % 14.22/14.43 (step @p714 :rule trans :premises (@p713 @p712)) % 14.22/14.43 (step @p715 :rule symm :premises (@p714)) % 14.22/14.43 (step @p716 :rule cong :premises (@p715) :args ((forall @t9 (or @t154 @t454)))) % 14.22/14.43 (step @p717 :rule trans :premises (@p716 @p710)) % 14.22/14.43 (step @p718 :rule trans :premises (@p717 @p709)) % 14.22/14.43 (step @p719 :rule bool-impl-elim :args (@t17 @t454)) % 14.22/14.43 (step @p720 :rule cong :premises (@p719) :args ((forall @t9 (=> @t17 @t454)))) % 14.22/14.43 (step @p721 :rule trans :premises (@p720 @p718)) % 14.22/14.43 (step @p722 :rule bool-impl-elim :args (@t21 @t453)) % 14.22/14.43 (step @p723 :rule cong :premises (@p722) :args ((forall @t7 (=> @t21 @t453)))) % 14.22/14.43 (step @p724 :rule aci_norm :args ((= @t456 @t452))) % 14.22/14.43 (step @p725 :rule cong :premises (@p724) :args (@t457)) % 14.22/14.43 (step @p726 :rule quant-merge-prenex :args ((= (forall @t16 @t459) @t457))) % 14.22/14.43 (step @p727 :rule alpha_equiv :args (@t460 (@list @t438) (@list @t10))) % 14.22/14.43 (step @p728 :rule nary_cong :premises (@p247 @p727) :args (@t461)) % 14.22/14.43 (step @p729 :rule quant-miniscope-or :args ((= @t459 @t461))) % 14.22/14.43 (step @p730 :rule trans :premises (@p729 @p728)) % 14.22/14.43 (step @p731 :rule symm :premises (@p730)) % 14.22/14.43 (step @p732 :rule cong :premises (@p731) :args ((forall @t16 (or @t241 @t463)))) % 14.22/14.43 (step @p733 :rule trans :premises (@p732 @p726)) % 14.22/14.43 (step @p734 :rule trans :premises (@p733 @p725)) % 14.22/14.43 (step @p735 :rule bool-double-not-elim :args (@t463)) % 14.22/14.43 (step @p736 :rule nary_cong :premises (@p247 @p735) :args ((or @t241 (not @t464)))) % 14.22/14.43 (step @p737 :rule bool-and-de-morgan :args (@t15 @t464 true)) % 14.22/14.43 (step @p738 :rule trans :premises (@p737 @p736)) % 14.22/14.43 (step @p739 :rule cong :premises (@p738) :args (@t466)) % 14.22/14.43 (step @p740 :rule trans :premises (@p739 @p734)) % 14.22/14.43 (step @p741 :rule cong :premises (@p740) :args (@t467)) % 14.22/14.43 (step @p742 :rule exists-elim :args ((= (exists @t16 @t465) @t467))) % 14.22/14.43 (step @p743 :rule trans :premises (@p742 @p741)) % 14.22/14.43 (step @p744 :rule bool-and-de-morgan :args (@t13 @t462 true)) % 14.22/14.43 (step @p745 :rule cong :premises (@p744) :args (@t469)) % 14.22/14.43 (step @p746 :rule cong :premises (@p745) :args (@t470)) % 14.22/14.43 (step @p747 :rule exists-elim :args ((= (exists @t14 @t468) @t470))) % 14.22/14.43 (step @p748 :rule trans :premises (@p747 @p746)) % 14.22/14.43 (step @p749 :rule eq-symm :args (@t31 @t2)) % 14.22/14.43 (step @p750 :rule nary_cong :premises (@p435 @p749) :args (@t32)) % 14.22/14.43 (step @p751 :rule cong :premises (@p750) :args (@t33)) % 14.22/14.43 (step @p752 :rule trans :premises (@p751 @p748)) % 14.22/14.43 (step @p753 :rule nary_cong :premises (@p439 @p752) :args (@t34)) % 14.22/14.43 (step @p754 :rule cong :premises (@p753) :args (@t35)) % 14.22/14.43 (step @p755 :rule trans :premises (@p754 @p743)) % 14.22/14.43 (step @p756 :rule refl :args (@t36)) % 14.22/14.43 (step @p757 :rule cong :premises (@p756 @p755) :args (@t37)) % 14.22/14.43 (step @p758 :rule cong :premises (@p145 @p757) :args (@t38)) % 14.22/14.43 (step @p759 :rule cong :premises (@p758) :args (@t39)) % 14.22/14.43 (step @p760 :rule trans :premises (@p759 @p723)) % 14.22/14.43 (step @p761 :rule cong :premises (@p101 @p760) :args (@t40)) % 14.22/14.43 (step @p762 :rule cong :premises (@p761) :args (@t41)) % 14.22/14.43 (step @p763 :rule trans :premises (@p762 @p721)) % 14.22/14.43 (step @p764 :rule eq_resolve :premises (@p7 @p763)) % 14.22/14.43 (step @p765 :rule instantiate :premises (@p764) :args ((@list @t183 @t318))) % 14.22/14.43 (step @p766 :rule cnf_or_pos :args (@t474)) % 14.22/14.43 (step @p767 :rule reordering :premises (@p766) :args ((or @t328 @t189 @t473 (not @t474)))) % 14.22/14.43 (step @p768 :rule chain_m_resolution :premises (@p767 @p685 @p458 @p765) :args (@t473 @t332 (@list @t327 @t188 @t474))) % 14.22/14.43 (step @p769 :rule cnf_or_neg :args (@t329 3)) % 14.22/14.43 (step @p770 :rule chain_m_resolution :premises (@p769 @p451) :args ((not @t325) @t330 @t331)) % 14.22/14.43 (step @p771 :rule bool-double-not-elim :args (@t471)) % 14.22/14.43 (step @p772 :rule refl :args (@t325)) % 14.22/14.43 (step @p773 :rule refl :args (@t475)) % 14.22/14.43 (step @p774 :rule nary_cong :premises (@p773 @p772 @p771) :args ((or @t475 @t325 (not @t472)))) % 14.22/14.43 (step @p775 :rule cnf_equiv_pos2 :args (@t473)) % 14.22/14.43 (step @p776 :rule eq_resolve :premises (@p775 @p774)) % 14.22/14.43 (step @p777 :rule reordering :premises (@p776) :args ((or @t325 @t471 @t475))) % 14.22/14.43 (step @p778 :rule chain_m_resolution :premises (@p777 @p770 @p768) :args (@t471 @t404 (@list @t325 @t473))) % 14.22/14.43 (step @p779 :rule instantiate :premises (@p778) :args ((@list @t430 @t334))) % 14.22/14.43 (step @p780 :rule bool-double-not-elim :args (@t434)) % 14.22/14.43 (step @p781 :rule nary_cong :premises (@p702 @p780) :args ((or @t436 (not @t435)))) % 14.22/14.43 (step @p782 :rule cnf_or_neg :args (@t436 0)) % 14.22/14.43 (step @p783 :rule eq_resolve :premises (@p782 @p781)) % 14.22/14.43 (step @p784 :rule reordering :premises (@p783) :args ((or @t434 @t436))) % 14.22/14.43 (step @p785 :rule chain_m_resolution :premises (@p784 @p700) :args (@t434 @t330 @t437)) % 14.22/14.43 (step @p786 :rule cnf_or_pos :args (@t478)) % 14.22/14.43 (step @p787 :rule reordering :premises (@p786) :args ((or @t342 @t435 @t477 (not @t478)))) % 14.22/14.43 (step @p788 :rule chain_m_resolution :premises (@p787 @p537 @p785 @p779) :args (@t477 @t332 (@list @t341 @t434 @t478))) % 14.22/14.43 (step @p789 :rule bool-double-not-elim :args (@t476)) % 14.22/14.43 (step @p790 :rule refl :args (@t433)) % 14.22/14.43 (step @p791 :rule refl :args (@t479)) % 14.22/14.43 (step @p792 :rule refl :args (@t480)) % 14.22/14.43 (step @p793 :rule refl :args (@t338)) % 14.22/14.43 (step @p794 :rule refl :args (@t481)) % 14.22/14.43 (step @p795 :rule refl :args (@t320)) % 14.22/14.43 (step @p796 :rule nary_cong :premises (@p795 @p794 @p793 @p792 @p791 @p790 @p789) :args ((or @t320 @t481 @t338 @t480 @t479 @t433 (not @t477)))) % 14.22/14.43 (assume-push @p853 @t476) % 14.22/14.43 (assume-push @p854 @t477) % 14.22/14.43 (step @p799 :rule evaluate :args ((= true false))) % 14.22/14.43 (step @p800 :rule false_intro :premises (@p788)) % 14.22/14.43 (step @p801 :rule refl :args (@t334)) % 14.22/14.43 (step @p802 :rule cong :premises (@p707 @p801) :args (@t482)) % 14.22/14.43 (step @p803 :rule symm :premises (@p644)) % 14.22/14.43 (step @p804 :rule symm :premises (@p109)) % 14.22/14.43 (step @p805 :rule refl :args (@t316)) % 14.22/14.43 (step @p806 :rule cong :premises (@p805 @p804) :args (@t483)) % 14.22/14.43 (step @p807 :rule symm :premises (@p499)) % 14.22/14.43 (step @p808 :rule cong :premises (@p807) :args (@t363)) % 14.22/14.43 (step @p809 :rule trans :premises (@p540 @p808)) % 14.22/14.43 (step @p810 :rule cong :premises (@p809 @p109) :args (@t377)) % 14.22/14.43 (step @p811 :rule trans :premises (@p810 @p806 @p803)) % 14.22/14.43 (step @p812 :rule cong :premises (@p811 @p801) :args (@t378)) % 14.22/14.43 (step @p813 :rule chain_m_resolution :premises (@p563 @p537 @p531 @p561) :args (@t379 @t332 @t381)) % 14.22/14.43 (step @p814 :rule chain_m_resolution :premises (@p498 @p492) :args (@t337 @t330 @t348)) % 14.22/14.43 (step @p815 :rule trans :premises (@p814 @p813 @p812 @p802)) % 14.22/14.43 (step @p816 :rule true_intro :premises (@p815)) % 14.22/14.43 (step @p817 :rule symm :premises (@p816)) % 14.22/14.43 (step @p818 :rule trans :premises (@p817 @p800)) % 14.22/14.43 (step @p819 false :rule eq_resolve :premises (@p818 @p799)) % 14.22/14.43 (step-pop @p855 :rule scope :premises (@p819)) % 14.22/14.43 (step-pop @p856 :rule scope :premises (@p855)) % 14.22/14.43 (step @p820 :rule process_scope :premises (@p856) :args (false)) % 14.22/14.43 (assume-push @p857 @t319) % 14.22/14.43 (assume-push @p858 @t141) % 14.22/14.43 (assume-push @p859 @t337) % 14.22/14.43 (assume-push @p860 @t364) % 14.22/14.43 (assume-push @p861 @t379) % 14.22/14.43 (assume-push @p862 @t432) % 14.22/14.43 (assume-push @p863 @t477) % 14.22/14.43 (step @p801 :rule refl :args (@t334)) % 14.22/14.43 (step @p802 :rule cong :premises (@p707 @p801) :args (@t482)) % 14.22/14.43 (step @p803 :rule symm :premises (@p644)) % 14.22/14.43 (step @p804 :rule symm :premises (@p109)) % 14.22/14.43 (step @p805 :rule refl :args (@t316)) % 14.22/14.43 (step @p806 :rule cong :premises (@p805 @p804) :args (@t483)) % 14.22/14.43 (step @p807 :rule symm :premises (@p499)) % 14.22/14.43 (step @p808 :rule cong :premises (@p807) :args (@t363)) % 14.22/14.43 (step @p809 :rule trans :premises (@p540 @p808)) % 14.22/14.43 (step @p810 :rule cong :premises (@p809 @p109) :args (@t377)) % 14.22/14.43 (step @p811 :rule trans :premises (@p810 @p806 @p803)) % 14.22/14.43 (step @p812 :rule cong :premises (@p811 @p801) :args (@t378)) % 14.22/14.43 (step @p830 :rule trans :premises (@p499 @p564 @p812 @p802)) % 14.22/14.43 (step @p831 :rule and_intro :premises (@p830 @p788)) % 14.22/14.43 (step-pop @p864 :rule scope :premises (@p831)) % 14.22/14.43 (step-pop @p865 :rule scope :premises (@p864)) % 14.22/14.43 (step-pop @p866 :rule scope :premises (@p865)) % 14.22/14.43 (step-pop @p867 :rule scope :premises (@p866)) % 14.22/14.43 (step-pop @p868 :rule scope :premises (@p867)) % 14.22/14.43 (step-pop @p869 :rule scope :premises (@p868)) % 14.22/14.43 (step-pop @p870 :rule scope :premises (@p869)) % 14.22/14.43 (step @p832 :rule process_scope :premises (@p870) :args (@t484)) % 14.22/14.43 (step @p840 :rule implies_elim :premises (@p832)) % 0.37/14.50 (step @p841 :rule resolution :premises (@p840 @p820) :args (true @t484)) % 0.37/14.50 (step @p842 :rule not_and :premises (@p841)) % 0.37/14.50 (step @p843 :rule eq_resolve :premises (@p842 @p796)) % 0.37/14.50 (step @p844 false :rule chain_m_resolution :premises (@p843 @p788 @p707 @p644 @p564 @p540 @p499 @p109) :args (false (@list true false false false false false false) (@list @t476 @t432 @t319 @t379 @t364 @t337 @t141))) % 0.37/14.50 ) % 0.37/14.50 % SZS output end Proof % 0.37/14.50 % cvc5 exiting %------------------------------------------------------------------------------