%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC027+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 : n021.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 08:57:45 AM UTC 2026 % Result : Theorem 0.51s 0.71s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC027+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 19:11:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.71 % SZS status Theorem % 0.51/0.71 % SZS output start Proof % 0.51/0.71 ( % 0.51/0.71 (declare-sort $$unsorted 0) % 0.51/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.nil $$unsorted) % 0.51/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.51/0.72 (define @t1 () (@var "V" $$unsorted)) % 0.51/0.72 (define @t2 () (@var "U" $$unsorted)) % 0.51/0.72 (define @t3 () (= @t2 @t1)) % 0.51/0.72 (define @t4 () (not @t3)) % 0.51/0.72 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.51/0.72 (define @t6 () (tptp.ssItem @t1)) % 0.51/0.72 (define @t7 () (@list @t1)) % 0.51/0.72 (define @t8 () (tptp.ssItem @t2)) % 0.51/0.72 (define @t9 () (@list @t2)) % 0.51/0.72 (define @t10 () (@var "X" $$unsorted)) % 0.51/0.72 (define @t11 () (tptp.cons @t1 @t10)) % 0.51/0.72 (define @t12 () (@var "W" $$unsorted)) % 0.51/0.72 (define @t13 () (tptp.ssList @t10)) % 0.51/0.72 (define @t14 () (@list @t10)) % 0.51/0.72 (define @t15 () (tptp.ssList @t12)) % 0.51/0.72 (define @t16 () (@list @t12)) % 0.51/0.72 (define @t17 () (tptp.ssList @t2)) % 0.51/0.72 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.51/0.72 (define @t19 () (tptp.app @t1 @t12)) % 0.51/0.72 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.51/0.72 (define @t21 () (tptp.ssList @t1)) % 0.51/0.72 (define @t22 () (tptp.app @t12 @t1)) % 0.51/0.72 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.51/0.72 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.51/0.72 (define @t25 () (tptp.leq @t12 @t1)) % 0.51/0.72 (define @t26 () (tptp.leq @t1 @t12)) % 0.51/0.72 (define @t27 () (@var "Z" $$unsorted)) % 0.51/0.72 (define @t28 () (@var "Y" $$unsorted)) % 0.51/0.72 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.51/0.72 (define @t30 () (tptp.ssList @t27)) % 0.51/0.72 (define @t31 () (@list @t27)) % 0.51/0.72 (define @t32 () (tptp.ssList @t28)) % 0.51/0.72 (define @t33 () (@list @t28)) % 0.51/0.72 (define @t34 () (tptp.ssItem @t12)) % 0.51/0.72 (define @t35 () (tptp.lt @t1 @t12)) % 0.51/0.72 (define @t36 () (= @t1 @t12)) % 0.51/0.72 (define @t37 () (tptp.cons @t1 @t2)) % 0.51/0.72 (define @t38 () (tptp.ssList tptp.nil)) % 0.51/0.72 (define @t39 () (not (= @t37 @t2))) % 0.51/0.72 (define @t40 () (=> @t6 @t39)) % 0.51/0.72 (define @t41 () (forall @t7 @t40)) % 0.51/0.72 (define @t42 () (=> @t17 @t41)) % 0.51/0.72 (define @t43 () (forall @t9 @t42)) % 0.51/0.72 (define @t44 () (= @t1 @t2)) % 0.51/0.72 (define @t45 () (tptp.cons @t12 @t1)) % 0.51/0.72 (define @t46 () (= tptp.nil @t2)) % 0.51/0.72 (define @t47 () (tptp.hd @t2)) % 0.51/0.72 (define @t48 () (not @t46)) % 0.51/0.72 (define @t49 () (tptp.tl @t2)) % 0.51/0.72 (define @t50 () (tptp.app @t2 @t1)) % 0.51/0.72 (define @t51 () (tptp.app @t1 @t2)) % 0.51/0.72 (define @t52 () (tptp.leq @t1 @t2)) % 0.51/0.72 (define @t53 () (tptp.leq @t2 @t1)) % 0.51/0.72 (define @t54 () (tptp.geq @t2 @t1)) % 0.51/0.72 (define @t55 () (tptp.lt @t1 @t2)) % 0.51/0.72 (define @t56 () (tptp.lt @t2 @t1)) % 0.51/0.72 (define @t57 () (tptp.lt @t2 @t12)) % 0.51/0.72 (define @t58 () (tptp.gt @t2 @t1)) % 0.51/0.72 (define @t59 () (tptp.memberP @t12 @t2)) % 0.51/0.72 (define @t60 () (not (tptp.memberP tptp.nil @t2))) % 0.51/0.72 (define @t61 () (forall @t9 (=> @t8 @t60))) % 0.51/0.72 (define @t62 () (tptp.app @t12 @t2)) % 0.51/0.72 (define @t63 () (tptp.cons @t2 tptp.nil)) % 0.51/0.72 (define @t64 () (tptp.hd @t1)) % 0.51/0.72 (define @t65 () (= tptp.nil @t1)) % 0.51/0.72 (define @t66 () (not @t65)) % 0.51/0.72 (define @t67 () (tptp.cons @t2 @t1)) % 0.51/0.72 (define @t68 () (= @t12 @t2)) % 0.51/0.72 (define @t69 () (or @t48 @t65)) % 0.51/0.72 (define @t70 () (or @t66 @t46)) % 0.51/0.72 (define @t71 () (and @t70 @t69)) % 0.51/0.72 (define @t72 () (not (= tptp.nil @t12))) % 0.51/0.72 (define @t73 () (not (= tptp.nil @t10))) % 0.51/0.72 (define @t74 () (or @t73 @t72)) % 0.51/0.72 (define @t75 () (tptp.leq @t28 @t27)) % 0.51/0.72 (define @t76 () (tptp.memberP @t10 @t27)) % 0.51/0.72 (define @t77 () (= @t28 @t27)) % 0.51/0.72 (define @t78 () (not @t77)) % 0.51/0.72 (define @t79 () (tptp.ssItem @t27)) % 0.51/0.72 (define @t80 () (and @t79 @t78 @t76 @t75)) % 0.51/0.72 (define @t81 () (exists @t31 @t80)) % 0.51/0.72 (define @t82 () (not (tptp.memberP @t10 @t28))) % 0.51/0.72 (define @t83 () (tptp.cons @t28 tptp.nil)) % 0.51/0.72 (define @t84 () (not (= @t83 @t12))) % 0.51/0.72 (define @t85 () (or @t84 @t82 @t81)) % 0.51/0.72 (define @t86 () (tptp.ssItem @t28)) % 0.51/0.72 (define @t87 () (=> @t86 @t85)) % 0.51/0.72 (define @t88 () (forall @t33 @t87)) % 0.51/0.72 (define @t89 () (and @t88 @t74)) % 0.51/0.72 (define @t90 () (not (= @t2 @t12))) % 0.51/0.72 (define @t91 () (not (= @t1 @t10))) % 0.51/0.72 (define @t92 () (or @t91 @t90 @t89 @t71)) % 0.51/0.72 (define @t93 () (=> @t13 @t92)) % 0.51/0.72 (define @t94 () (forall @t14 @t93)) % 0.51/0.72 (define @t95 () (=> @t15 @t94)) % 0.51/0.72 (define @t96 () (forall @t16 @t95)) % 0.51/0.72 (define @t97 () (=> @t21 @t96)) % 0.51/0.72 (define @t98 () (forall @t7 @t97)) % 0.51/0.72 (define @t99 () (=> @t17 @t98)) % 0.51/0.72 (define @t100 () (forall @t9 @t99)) % 0.51/0.72 (define @t101 () (not @t100)) % 0.51/0.72 (define @t102 () (= @t2 tptp.nil)) % 0.51/0.72 (define @t103 () (not @t102)) % 0.51/0.72 (define @t104 () (@var "BOUND_VARIABLE_11136" $$unsorted)) % 0.51/0.72 (define @t105 () (= tptp.nil @t104)) % 0.51/0.72 (define @t106 () (not @t105)) % 0.51/0.72 (define @t107 () (@var "BOUND_VARIABLE_11138" $$unsorted)) % 0.51/0.72 (define @t108 () (not @t79)) % 0.51/0.72 (define @t109 () (or (not (tptp.ssItem @t107)) (not (= @t2 (tptp.cons @t107 tptp.nil))) (not (tptp.memberP @t104 @t107)) (not (forall @t31 (or @t108 (= @t27 @t107) (not (tptp.memberP @t104 @t27)) (not (tptp.leq @t107 @t27))))))) % 0.51/0.72 (define @t110 () (not (tptp.ssList @t104))) % 0.51/0.72 (define @t111 () (not @t17)) % 0.51/0.72 (define @t112 () (@list @t2 @t104 @t107)) % 0.51/0.72 (define @t113 () (forall @t112 (or @t111 @t110 (and (or @t106 @t102) (or @t103 @t105)) (and @t109 (or @t106 @t103))))) % 0.51/0.72 (define @t114 () (@quantifiers_skolemize @t113 1)) % 0.51/0.72 (define @t115 () (= tptp.nil @t114)) % 0.51/0.72 (define @t116 () (@quantifiers_skolemize @t113 0)) % 0.51/0.72 (define @t117 () (= tptp.nil @t116)) % 0.51/0.72 (define @t118 () (not @t115)) % 0.51/0.72 (define @t119 () (or @t118 @t117)) % 0.51/0.72 (define @t120 () (not @t118)) % 0.51/0.72 (define @t121 () (not @t117)) % 0.51/0.72 (define @t122 () (or @t118 @t121)) % 0.51/0.72 (define @t123 () (= @t104 tptp.nil)) % 0.51/0.72 (define @t124 () (not @t123)) % 0.51/0.72 (define @t125 () (or @t124 @t103)) % 0.51/0.72 (define @t126 () (and @t109 @t125)) % 0.51/0.72 (define @t127 () (or @t103 @t123)) % 0.51/0.72 (define @t128 () (or @t124 @t102)) % 0.51/0.72 (define @t129 () (and @t128 @t127)) % 0.51/0.72 (define @t130 () (or @t111 @t110 @t129 @t126)) % 0.51/0.72 (define @t131 () (or @t110 @t129 @t126)) % 0.51/0.72 (define @t132 () (or @t111 @t131)) % 0.51/0.72 (define @t133 () (forall @t112 @t132)) % 0.51/0.72 (define @t134 () (@list @t104 @t107)) % 0.51/0.72 (define @t135 () (forall @t134 @t132)) % 0.51/0.72 (define @t136 () (forall @t134 @t131)) % 0.51/0.72 (define @t137 () (@var "BOUND_VARIABLE_11112" $$unsorted)) % 0.51/0.72 (define @t138 () (or @t111 @t136)) % 0.51/0.72 (define @t139 () (= @t1 tptp.nil)) % 0.51/0.72 (define @t140 () (not @t139)) % 0.51/0.72 (define @t141 () (or @t140 @t103)) % 0.51/0.72 (define @t142 () (not (tptp.memberP @t1 @t27))) % 0.51/0.72 (define @t143 () (or (not (tptp.ssItem @t137)) (not (= @t2 (tptp.cons @t137 tptp.nil))) (not (tptp.memberP @t1 @t137)) (not (forall @t31 (or @t108 (= @t27 @t137) @t142 (not (tptp.leq @t137 @t27))))))) % 0.51/0.72 (define @t144 () (and @t143 @t141)) % 0.51/0.72 (define @t145 () (and (or @t140 @t102) (or @t103 @t139))) % 0.51/0.72 (define @t146 () (not @t21)) % 0.51/0.72 (define @t147 () (or @t146 @t145 @t144)) % 0.51/0.72 (define @t148 () (forall (@list @t1 @t137) @t147)) % 0.51/0.72 (define @t149 () (or @t111 @t148)) % 0.51/0.72 (define @t150 () (@list @t137)) % 0.51/0.72 (define @t151 () (forall @t150 @t147)) % 0.51/0.72 (define @t152 () (forall @t150 @t141)) % 0.51/0.72 (define @t153 () (forall @t150 @t143)) % 0.51/0.72 (define @t154 () (@var "BOUND_VARIABLE_11081" $$unsorted)) % 0.51/0.72 (define @t155 () (@list @t154)) % 0.51/0.72 (define @t156 () (and @t153 @t152)) % 0.51/0.72 (define @t157 () (forall @t150 @t144)) % 0.51/0.72 (define @t158 () (or @t146 @t145 @t157)) % 0.51/0.72 (define @t159 () (and (forall (@list @t154) (or (not (tptp.ssItem @t154)) (not (= @t2 (tptp.cons @t154 tptp.nil))) (not (tptp.memberP @t1 @t154)) (not (forall @t31 (or @t108 (= @t27 @t154) @t142 (not (tptp.leq @t154 @t27))))))) @t141)) % 0.51/0.72 (define @t160 () (or @t146 @t145 @t159)) % 0.51/0.72 (define @t161 () (forall @t7 @t160)) % 0.51/0.72 (define @t162 () (or @t111 @t161)) % 0.51/0.72 (define @t163 () (or @t111 @t160)) % 0.51/0.72 (define @t164 () (or @t146 @t145 @t111 @t159)) % 0.51/0.72 (define @t165 () (or @t145 @t146 @t111 @t159)) % 0.51/0.72 (define @t166 () (@var "BOUND_VARIABLE_11046" $$unsorted)) % 0.51/0.72 (define @t167 () (@list @t166)) % 0.51/0.72 (define @t168 () (forall @t167 @t141)) % 0.51/0.72 (define @t169 () (not (forall @t31 (or @t108 (= @t27 @t166) @t142 (not (tptp.leq @t166 @t27)))))) % 0.51/0.72 (define @t170 () (not (tptp.memberP @t1 @t166))) % 0.51/0.72 (define @t171 () (tptp.cons @t166 tptp.nil)) % 0.51/0.72 (define @t172 () (not (tptp.ssItem @t166))) % 0.51/0.72 (define @t173 () (or @t172 (not (= @t2 @t171)) @t170 @t169)) % 0.51/0.72 (define @t174 () (forall @t167 @t173)) % 0.51/0.72 (define @t175 () (@list @t166)) % 0.51/0.72 (define @t176 () (and @t174 @t168)) % 0.51/0.72 (define @t177 () (and @t173 @t141)) % 0.51/0.72 (define @t178 () (forall @t167 @t177)) % 0.51/0.72 (define @t179 () (or @t111 @t178)) % 0.51/0.72 (define @t180 () (or @t111 @t177)) % 0.51/0.72 (define @t181 () (not (= @t2 @t2))) % 0.51/0.72 (define @t182 () (or @t111 @t181 @t177)) % 0.51/0.72 (define @t183 () (not (= @t12 tptp.nil))) % 0.51/0.72 (define @t184 () (or @t140 @t183)) % 0.51/0.72 (define @t185 () (or @t172 (not (= @t12 @t171)) @t170 @t169)) % 0.51/0.72 (define @t186 () (and @t185 @t184)) % 0.51/0.72 (define @t187 () (not @t15)) % 0.51/0.72 (define @t188 () (or @t90 @t187 @t90 @t186)) % 0.51/0.72 (define @t189 () (or @t187 @t90 @t186)) % 0.51/0.72 (define @t190 () (forall @t16 @t189)) % 0.51/0.72 (define @t191 () (forall @t167 @t190)) % 0.51/0.72 (define @t192 () (forall (@list @t166 @t12) @t189)) % 0.51/0.72 (define @t193 () (forall (@list @t12 @t166) @t189)) % 0.51/0.72 (define @t194 () (forall @t167 @t189)) % 0.51/0.72 (define @t195 () (forall @t167 @t184)) % 0.51/0.72 (define @t196 () (forall @t167 @t185)) % 0.51/0.72 (define @t197 () (@var "BOUND_VARIABLE_11015" $$unsorted)) % 0.51/0.72 (define @t198 () (@list @t197)) % 0.51/0.72 (define @t199 () (and @t196 @t195)) % 0.51/0.72 (define @t200 () (forall @t167 @t186)) % 0.51/0.72 (define @t201 () (or @t187 @t90 @t200)) % 0.51/0.72 (define @t202 () (and (forall (@list @t197) (or (not (tptp.ssItem @t197)) (not (= @t12 (tptp.cons @t197 tptp.nil))) (not (tptp.memberP @t1 @t197)) (not (forall @t31 (or @t108 (= @t27 @t197) @t142 (not (tptp.leq @t197 @t27))))))) @t184)) % 0.51/0.72 (define @t203 () (or @t187 @t90 @t202)) % 0.51/0.72 (define @t204 () (forall @t16 @t203)) % 0.51/0.72 (define @t205 () (or @t145 @t146 @t204)) % 0.51/0.72 (define @t206 () (or @t145 @t146 @t203)) % 0.51/0.72 (define @t207 () (or @t187 @t90 @t145 @t146 @t202)) % 0.51/0.72 (define @t208 () (or @t90 @t145 @t146 @t202)) % 0.51/0.72 (define @t209 () (@var "BOUND_VARIABLE_10969" $$unsorted)) % 0.51/0.72 (define @t210 () (@list @t209)) % 0.51/0.72 (define @t211 () (forall @t210 @t184)) % 0.51/0.72 (define @t212 () (not (tptp.leq @t209 @t27))) % 0.51/0.72 (define @t213 () (= @t27 @t209)) % 0.51/0.72 (define @t214 () (not (= @t12 (tptp.cons @t209 tptp.nil)))) % 0.51/0.72 (define @t215 () (not (tptp.ssItem @t209))) % 0.51/0.72 (define @t216 () (or @t215 @t214 (not (tptp.memberP @t1 @t209)) (not (forall @t31 (or @t108 @t213 @t142 @t212))))) % 0.51/0.72 (define @t217 () (forall @t210 @t216)) % 0.51/0.72 (define @t218 () (@list @t209)) % 0.51/0.72 (define @t219 () (and @t217 @t211)) % 0.51/0.72 (define @t220 () (and @t216 @t184)) % 0.51/0.72 (define @t221 () (forall @t210 @t220)) % 0.51/0.72 (define @t222 () (or @t146 @t221)) % 0.51/0.72 (define @t223 () (or @t146 @t220)) % 0.51/0.72 (define @t224 () (not (= @t1 @t1))) % 0.51/0.72 (define @t225 () (or @t146 @t224 @t220)) % 0.51/0.72 (define @t226 () (or (not (= @t10 tptp.nil)) @t183)) % 0.51/0.72 (define @t227 () (not @t76)) % 0.51/0.72 (define @t228 () (not (tptp.memberP @t10 @t209))) % 0.51/0.72 (define @t229 () (and (or @t215 @t214 @t228 (not (forall @t31 (or @t108 @t213 @t227 @t212)))) @t226)) % 0.51/0.72 (define @t230 () (not @t13)) % 0.51/0.72 (define @t231 () (or @t91 @t230 @t91 @t229)) % 0.51/0.72 (define @t232 () (or @t230 @t91 @t229)) % 0.51/0.72 (define @t233 () (forall @t14 @t232)) % 0.51/0.72 (define @t234 () (forall @t210 @t233)) % 0.51/0.72 (define @t235 () (forall (@list @t209 @t10) @t232)) % 0.51/0.72 (define @t236 () (@list @t10 @t209)) % 0.51/0.72 (define @t237 () (or @t108 (= @t209 @t27) @t227 @t212)) % 0.51/0.72 (define @t238 () (forall @t31 @t237)) % 0.51/0.72 (define @t239 () (not @t238)) % 0.51/0.72 (define @t240 () (or @t215 @t214 @t228 @t239)) % 0.51/0.72 (define @t241 () (and @t240 @t226)) % 0.51/0.72 (define @t242 () (or @t230 @t91 @t241)) % 0.51/0.72 (define @t243 () (forall @t236 @t242)) % 0.51/0.72 (define @t244 () (forall @t210 @t242)) % 0.51/0.72 (define @t245 () (forall @t210 @t226)) % 0.51/0.72 (define @t246 () (forall @t210 @t240)) % 0.51/0.72 (define @t247 () (and @t246 @t245)) % 0.51/0.72 (define @t248 () (forall @t210 @t241)) % 0.51/0.72 (define @t249 () (or @t230 @t91 @t248)) % 0.51/0.72 (define @t250 () (not @t75)) % 0.51/0.72 (define @t251 () (not (forall @t31 (or @t108 @t77 @t227 @t250)))) % 0.51/0.72 (define @t252 () (not (= @t12 @t83))) % 0.51/0.72 (define @t253 () (not @t86)) % 0.51/0.72 (define @t254 () (or @t253 @t252 @t82 @t251)) % 0.51/0.72 (define @t255 () (and (forall @t33 @t254) @t226)) % 0.51/0.72 (define @t256 () (or @t230 @t91 @t255)) % 0.51/0.72 (define @t257 () (forall @t14 @t256)) % 0.51/0.72 (define @t258 () (or @t90 @t145 @t257)) % 0.51/0.72 (define @t259 () (or @t90 @t145 @t256)) % 0.51/0.72 (define @t260 () (or @t230 @t91 @t90 @t255 @t145)) % 0.51/0.72 (define @t261 () (or @t91 @t90 @t255 @t145)) % 0.51/0.72 (define @t262 () (or @t252 @t82 @t251)) % 0.51/0.72 (define @t263 () (not @t78)) % 0.51/0.72 (define @t264 () (or @t108 @t263 @t227 @t250)) % 0.51/0.72 (define @t265 () (forall @t31 (not @t80))) % 0.51/0.72 (define @t266 () (not @t265)) % 0.51/0.72 (define @t267 () (@quantifiers_skolemize @t113 2)) % 0.51/0.72 (define @t268 () (tptp.memberP @t114 @t267)) % 0.51/0.72 (define @t269 () (not @t268)) % 0.51/0.72 (define @t270 () (tptp.cons @t267 tptp.nil)) % 0.51/0.72 (define @t271 () (= @t116 @t270)) % 0.51/0.72 (define @t272 () (not @t271)) % 0.51/0.72 (define @t273 () (tptp.ssItem @t267)) % 0.51/0.72 (define @t274 () (not @t273)) % 0.51/0.72 (define @t275 () (or @t274 @t272 @t269 (not (forall @t31 (or @t108 (= @t27 @t267) (not (tptp.memberP @t114 @t27)) (not (tptp.leq @t267 @t27))))))) % 0.51/0.72 (define @t276 () (and @t275 @t122)) % 0.51/0.72 (define @t277 () (or @t121 @t115)) % 0.51/0.72 (define @t278 () (and @t119 @t277)) % 0.51/0.72 (define @t279 () (not (tptp.ssList @t114))) % 0.51/0.72 (define @t280 () (not (tptp.ssList @t116))) % 0.51/0.72 (define @t281 () (or @t280 @t279 @t278 @t276)) % 0.51/0.72 (define @t282 () (not @t281)) % 0.51/0.72 (define @t283 () (not @t113)) % 0.51/0.72 (define @t284 () (= @t116 tptp.nil)) % 0.51/0.72 (define @t285 () (not @t284)) % 0.51/0.72 (define @t286 () (or @t118 @t285)) % 0.51/0.72 (define @t287 () (and @t275 @t286)) % 0.51/0.72 (define @t288 () (or @t285 @t115)) % 0.51/0.72 (define @t289 () (or @t118 @t284)) % 0.51/0.72 (define @t290 () (and @t289 @t288)) % 0.51/0.72 (define @t291 () (or @t280 @t279 @t290 @t287)) % 0.51/0.72 (define @t292 () (not @t291)) % 0.51/0.72 (define @t293 () (@list true)) % 0.51/0.72 (define @t294 () (@list @t281)) % 0.51/0.72 (define @t295 () (not @t121)) % 0.51/0.72 (define @t296 () (@var "BOUND_VARIABLE_9156" $$unsorted)) % 0.51/0.72 (define @t297 () (not (= @t2 (tptp.cons @t296 @t2)))) % 0.51/0.72 (define @t298 () (not (tptp.ssItem @t296))) % 0.51/0.72 (define @t299 () (or @t298 @t297)) % 0.51/0.72 (define @t300 () (or @t111 @t299)) % 0.51/0.72 (define @t301 () (forall (@list @t2 @t296) @t300)) % 0.51/0.72 (define @t302 () (@list @t296)) % 0.51/0.72 (define @t303 () (forall @t302 @t300)) % 0.51/0.72 (define @t304 () (forall @t302 @t299)) % 0.51/0.72 (define @t305 () (or @t111 @t304)) % 0.51/0.72 (define @t306 () (not (= @t2 @t37))) % 0.51/0.72 (define @t307 () (forall @t7 (or (not @t6) @t306))) % 0.51/0.72 (define @t308 () (= tptp.nil @t270)) % 0.51/0.72 (define @t309 () (not @t308)) % 0.51/0.72 (define @t310 () (not @t38)) % 0.51/0.72 (define @t311 () (or @t310 @t274 @t309)) % 0.51/0.72 (define @t312 () (and @t271 @t117)) % 0.51/0.72 (define @t313 () (@list true false)) % 0.51/0.72 (define @t314 () (@list @t275)) % 0.51/0.72 (define @t315 () (tptp.memberP tptp.nil @t267)) % 0.51/0.72 (define @t316 () (not @t315)) % 0.51/0.72 (define @t317 () (or @t274 @t316)) % 0.51/0.72 (define @t318 () (and @t115 @t268)) % 0.51/0.72 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.51/0.72 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.51/0.72 (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))))))))))) % 0.51/0.72 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.51/0.72 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.51/0.72 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.51/0.72 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.51/0.72 (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))))))))))))))))) % 0.51/0.72 (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)))))))))))))))) % 0.51/0.72 (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))))))))))))))))) % 0.51/0.72 (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))))))))))))))) % 0.51/0.72 (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))))))))))))))) % 0.51/0.72 (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)))))))))))))))) % 0.51/0.72 (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))))))))))))) % 0.51/0.72 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.51/0.72 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.51/0.72 (assume @p17 @t38) % 0.51/0.72 (assume @p18 @t43) % 0.51/0.72 (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) @t44))))))))))) % 0.51/0.72 (assume @p20 (forall @t9 (=> @t17 (or @t46 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t45 @t2))))))))) % 0.51/0.72 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.51/0.72 (assume @p22 (forall @t9 (=> @t17 (=> @t48 (tptp.ssItem @t47))))) % 0.51/0.72 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.51/0.72 (assume @p24 (forall @t9 (=> @t17 (=> @t48 (tptp.ssList @t49))))) % 0.51/0.72 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.51/0.72 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t50)))))) % 0.51/0.72 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t51) (tptp.app @t45 @t2))))))))) % 0.51/0.72 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.51/0.72 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 @t52) @t3)))))) % 0.51/0.72 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 @t26) (tptp.leq @t2 @t12))))))))) % 0.51/0.72 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.51/0.72 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 @t52)))))) % 0.51/0.72 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (not @t55))))))) % 0.51/0.72 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 @t35) @t57)))))))) % 0.51/0.72 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 @t55)))))) % 0.51/0.72 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t59))))))))) % 0.51/0.72 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t59))))))))) % 0.51/0.72 (assume @p38 @t61) % 0.51/0.72 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.51/0.72 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.51/0.72 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.51/0.72 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.51/0.72 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.51/0.72 (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)))))))))))) % 0.51/0.72 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.51/0.72 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t46)))) % 0.51/0.72 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.51/0.72 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.51/0.72 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.51/0.72 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t62 @t1))))))))) % 0.51/0.72 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.51/0.72 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t46)))) % 0.51/0.72 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.51/0.72 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.51/0.72 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.51/0.72 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t62 @t10) @t1))))))))))) % 0.51/0.72 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.51/0.72 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t46)))) % 0.51/0.72 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t63)))) % 0.51/0.72 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.51/0.72 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t63)))) % 0.51/0.72 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.51/0.72 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t63)))) % 0.51/0.72 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.51/0.72 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t63)))) % 0.51/0.72 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.51/0.72 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t67) (or @t65 (and @t66 (tptp.totalorderedP @t1) (tptp.leq @t2 @t64))))))))) % 0.51/0.72 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t63)))) % 0.51/0.72 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.51/0.72 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t67) (or @t65 (and @t66 (tptp.strictorderedP @t1) (tptp.lt @t2 @t64))))))))) % 0.51/0.72 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t63)))) % 0.51/0.72 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.51/0.72 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t63)))) % 0.51/0.72 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.51/0.72 (assume @p75 (forall @t9 (=> @t17 (=> @t48 (exists @t7 (and @t6 (= @t47 @t1))))))) % 0.51/0.72 (assume @p76 (forall @t9 (=> @t17 (=> @t48 (exists @t7 (and @t21 (= @t49 @t1))))))) % 0.51/0.72 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t66 @t48 (= @t64 @t47) (= (tptp.tl @t1) @t49)) @t44)))))) % 0.51/0.72 (assume @p78 (forall @t9 (=> @t17 (=> @t48 (= (tptp.cons @t47 @t49) @t2))))) % 0.51/0.72 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t50) @t68)))))))) % 0.51/0.72 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t51) @t68)))))))) % 0.51/0.72 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.51/0.72 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t50 @t12) (tptp.app @t2 @t19))))))))) % 0.51/0.72 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t50) (and @t65 @t46))))))) % 0.51/0.72 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.51/0.72 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t48 (= (tptp.hd @t50) @t47))))))) % 0.51/0.72 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t48 (= (tptp.tl @t50) (tptp.app @t49 @t1)))))))) % 0.51/0.72 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t54 (tptp.geq @t1 @t2)) @t3)))))) % 0.51/0.72 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.51/0.72 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.51/0.72 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.51/0.72 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 @t35) @t57)))))))) % 0.51/0.72 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (or @t3 @t56))))))) % 0.51/0.72 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 (and @t4 @t53))))))) % 0.51/0.72 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (not (tptp.gt @t1 @t2)))))))) % 0.51/0.72 (assume 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@p310) :args (@t71)) % 0.51/0.72 (step @p314 :rule eq-symm :args (tptp.nil @t12)) % 0.51/0.72 (step @p315 :rule cong :premises (@p314) :args (@t72)) % 0.51/0.72 (step @p316 :rule eq-symm :args (tptp.nil @t10)) % 0.51/0.72 (step @p317 :rule cong :premises (@p316) :args (@t73)) % 0.51/0.72 (step @p318 :rule nary_cong :premises (@p317 @p315) :args (@t74)) % 0.51/0.72 (step @p319 :rule aci_norm :args ((= (or @t253 @t262) @t254))) % 0.51/0.72 (step @p320 :rule bool-impl-elim :args (@t86 @t262)) % 0.51/0.72 (step @p321 :rule trans :premises (@p320 @p319)) % 0.51/0.72 (step @p322 :rule cong :premises (@p321) :args ((forall @t33 (=> @t86 @t262)))) % 0.51/0.72 (step @p323 :rule refl :args (@t250)) % 0.51/0.72 (step @p324 :rule refl :args (@t227)) % 0.51/0.72 (step @p325 :rule bool-double-not-elim :args (@t77)) % 0.51/0.72 (step @p326 :rule refl :args (@t108)) % 0.51/0.72 (step @p327 :rule nary_cong :premises (@p326 @p325 @p324 @p323) :args (@t264)) % 0.51/0.72 (step @p328 :rule aci_norm :args 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% 0.51/0.72 (step @p342 :rule trans :premises (@p341 @p340)) % 0.51/0.72 (step @p343 :rule refl :args (@t82)) % 0.51/0.72 (step @p344 :rule eq-symm :args (@t83 @t12)) % 0.51/0.72 (step @p345 :rule cong :premises (@p344) :args (@t84)) % 0.51/0.72 (step @p346 :rule nary_cong :premises (@p345 @p343 @p342) :args (@t85)) % 0.51/0.72 (step @p347 :rule refl :args (@t86)) % 0.51/0.72 (step @p348 :rule cong :premises (@p347 @p346) :args (@t87)) % 0.51/0.72 (step @p349 :rule cong :premises (@p348) :args (@t88)) % 0.51/0.72 (step @p350 :rule trans :premises (@p349 @p322)) % 0.51/0.72 (step @p351 :rule nary_cong :premises (@p350 @p318) :args (@t89)) % 0.51/0.72 (step @p352 :rule nary_cong :premises (@p276 @p294 @p351 @p313) :args (@t92)) % 0.51/0.72 (step @p353 :rule refl :args (@t13)) % 0.51/0.72 (step @p354 :rule cong :premises (@p353 @p352) :args (@t93)) % 0.51/0.72 (step @p355 :rule cong :premises (@p354) :args (@t94)) % 0.51/0.72 (step @p356 :rule trans :premises (@p355 @p306)) % 0.51/0.72 (step @p357 :rule refl :args (@t15)) % 0.51/0.72 (step @p358 :rule cong :premises (@p357 @p356) :args (@t95)) % 0.51/0.72 (step @p359 :rule cong :premises (@p358) :args (@t96)) % 0.51/0.72 (step @p360 :rule trans :premises (@p359 @p227)) % 0.51/0.72 (step @p361 :rule refl :args (@t21)) % 0.51/0.72 (step @p362 :rule cong :premises (@p361 @p360) :args (@t97)) % 0.51/0.72 (step @p363 :rule cong :premises (@p362) :args (@t98)) % 0.51/0.72 (step @p364 :rule trans :premises (@p363 @p164)) % 0.51/0.72 (step @p365 :rule refl :args (@t17)) % 0.51/0.72 (step @p366 :rule cong :premises (@p365 @p364) :args (@t99)) % 0.51/0.72 (step @p367 :rule cong :premises (@p366) :args (@t100)) % 0.51/0.72 (step @p368 :rule trans :premises (@p367 @p139)) % 0.51/0.72 (step @p369 :rule cong :premises (@p368) :args (@t101)) % 0.51/0.72 (step @p370 :rule eq_resolve :premises (@p96 @p369)) % 0.51/0.72 (step @p371 :rule refl :args (@t282)) % 0.51/0.72 (step @p372 :rule bool-double-not-elim :args (@t113)) % 0.51/0.72 (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or (not @t283) @t282))) % 0.51/0.72 (step @p374 :rule eq-symm :args (@t116 tptp.nil)) % 0.51/0.72 (step @p375 :rule cong :premises (@p374) :args (@t285)) % 0.51/0.72 (step @p376 :rule refl :args (@t118)) % 0.51/0.72 (step @p377 :rule nary_cong :premises (@p376 @p375) :args (@t286)) % 0.51/0.72 (step @p378 :rule refl :args (@t275)) % 0.51/0.72 (step @p379 :rule nary_cong :premises (@p378 @p377) :args (@t287)) % 0.51/0.72 (step @p380 :rule refl :args (@t115)) % 0.51/0.72 (step @p381 :rule nary_cong :premises (@p375 @p380) :args (@t288)) % 0.51/0.72 (step @p382 :rule nary_cong :premises (@p376 @p374) :args (@t289)) % 0.51/0.72 (step @p383 :rule nary_cong :premises (@p382 @p381) :args (@t290)) % 0.51/0.72 (step @p384 :rule refl :args (@t279)) % 0.51/0.72 (step @p385 :rule refl :args (@t280)) % 0.51/0.72 (step @p386 :rule nary_cong :premises (@p385 @p384 @p383 @p379) :args (@t291)) % 0.51/0.72 (step @p387 :rule cong :premises (@p386) :args (@t292)) % 0.51/0.72 (step @p388 :rule refl :args (@t283)) % 0.51/0.72 (step @p389 :rule cong :premises (@p388 @p387) :args ((=> @t283 @t292))) % 0.51/0.72 (assume-push @p513 @t283) % 0.51/0.72 (step @p391 :rule skolemize :premises (@p370)) % 0.51/0.72 (step-pop @p514 :rule scope :premises (@p391)) % 0.51/0.72 (step @p392 :rule process_scope :premises (@p514) :args (@t292)) % 0.51/0.72 (step @p394 :rule eq_resolve :premises (@p392 @p389)) % 0.51/0.72 (step @p395 :rule implies_elim :premises (@p394)) % 0.51/0.72 (step @p396 :rule eq_resolve :premises (@p395 @p373)) % 0.51/0.72 (step @p397 :rule chain_m_resolution :premises (@p396 @p370) :args (@t282 @t293 (@list @t113))) % 0.51/0.72 (step @p398 :rule cnf_or_neg :args (@t281 2)) % 0.51/0.72 (step @p399 :rule chain_m_resolution :premises (@p398 @p397) :args ((not @t278) @t293 @t294)) % 0.51/0.72 (step @p400 :rule cnf_and_neg :args (@t278)) % 0.51/0.72 (step @p401 :rule cnf_or_neg :args (@t281 3)) % 0.51/0.72 (step @p402 :rule chain_m_resolution :premises (@p401 @p397) :args ((not @t276) @t293 @t294)) % 0.51/0.72 (step @p403 :rule cnf_and_neg :args (@t276)) % 0.51/0.72 (step @p404 :rule bool-double-not-elim :args (@t117)) % 0.51/0.72 (step @p405 :rule refl :args (@t277)) % 0.51/0.72 (step @p406 :rule nary_cong :premises (@p405 @p404) :args ((or @t277 @t295))) % 0.51/0.72 (step @p407 :rule cnf_or_neg :args (@t277 0)) % 0.51/0.72 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 0.51/0.72 (step @p409 :rule reordering :premises (@p408) :args ((or @t117 @t277))) % 0.51/0.72 (step @p410 :rule bool-double-not-elim :args (@t273)) % 0.51/0.72 (step @p411 :rule nary_cong :premises (@p378 @p410) :args ((or @t275 (not @t274)))) % 0.51/0.72 (step @p412 :rule cnf_or_neg :args (@t275 0)) % 0.51/0.72 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 0.51/0.72 (step @p414 :rule reordering :premises (@p413) :args ((or @t273 @t275))) % 0.51/0.72 (step @p415 :rule bool-double-not-elim :args (@t271)) % 0.51/0.72 (step @p416 :rule nary_cong :premises (@p378 @p415) :args ((or @t275 (not @t272)))) % 0.51/0.72 (step @p417 :rule cnf_or_neg :args (@t275 1)) % 0.51/0.72 (step @p418 :rule eq_resolve :premises (@p417 @p416)) % 0.51/0.72 (step @p419 :rule reordering :premises (@p418) :args ((or @t271 @t275))) % 0.51/0.72 (step @p420 :rule aci_norm :args ((= @t300 (or @t111 @t298 @t297)))) % 0.51/0.72 (step @p421 :rule cong :premises (@p420) :args (@t301)) % 0.51/0.72 (step @p422 :rule quant-merge-prenex :args ((= (forall @t9 @t303) @t301))) % 0.51/0.72 (step @p423 :rule alpha_equiv :args (@t304 (@list @t296) (@list @t1))) % 0.51/0.72 (step @p424 :rule nary_cong :premises (@p127 @p423) :args (@t305)) % 0.51/0.72 (step @p425 :rule quant-miniscope-or :args ((= @t303 @t305))) % 0.51/0.72 (step @p426 :rule trans :premises (@p425 @p424)) % 0.51/0.72 (step @p427 :rule symm :premises (@p426)) % 0.51/0.72 (step @p428 :rule cong :premises (@p427) :args ((forall @t9 (or @t111 @t307)))) % 0.51/0.72 (step @p429 :rule trans :premises (@p428 @p422)) % 0.51/0.72 (step @p430 :rule trans :premises (@p429 @p421)) % 0.51/0.72 (step @p431 :rule bool-impl-elim :args (@t17 @t307)) % 0.51/0.72 (step @p432 :rule cong :premises (@p431) :args ((forall @t9 (=> @t17 @t307)))) % 0.51/0.72 (step @p433 :rule trans :premises (@p432 @p430)) % 0.51/0.72 (step @p434 :rule bool-impl-elim :args (@t6 @t306)) % 0.51/0.72 (step @p435 :rule cong :premises (@p434) :args ((forall @t7 (=> @t6 @t306)))) % 0.51/0.72 (step @p436 :rule eq-symm :args (@t37 @t2)) % 0.51/0.72 (step @p437 :rule cong :premises (@p436) :args (@t39)) % 0.51/0.72 (step @p438 :rule refl :args (@t6)) % 0.51/0.72 (step @p439 :rule cong :premises (@p438 @p437) :args (@t40)) % 0.51/0.72 (step @p440 :rule cong :premises (@p439) :args (@t41)) % 0.51/0.72 (step @p441 :rule trans :premises (@p440 @p435)) % 0.51/0.72 (step @p442 :rule cong :premises (@p365 @p441) :args (@t42)) % 0.51/0.72 (step @p443 :rule cong :premises (@p442) :args (@t43)) % 0.51/0.72 (step @p444 :rule trans :premises (@p443 @p433)) % 0.51/0.72 (step @p445 :rule eq_resolve :premises (@p18 @p444)) % 0.51/0.72 (step @p446 :rule instantiate :premises (@p445) :args ((@list tptp.nil @t267))) % 0.51/0.72 (step @p447 :rule cnf_or_pos :args (@t311)) % 0.51/0.72 (step @p448 :rule reordering :premises (@p447) :args ((or @t310 @t274 @t309 (not @t311)))) % 0.51/0.72 (assume-push @p515 @t271) % 0.51/0.72 (assume-push @p516 @t117) % 0.51/0.72 (assume-push @p517 @t271) % 0.51/0.72 (assume-push @p518 @t117) % 0.51/0.72 (step @p453 :rule trans :premises (@p516 @p515)) % 0.51/0.72 (step-pop @p519 :rule scope :premises (@p453)) % 0.51/0.72 (step-pop @p520 :rule scope :premises (@p519)) % 0.51/0.72 (step @p454 :rule process_scope :premises (@p520) :args (@t308)) % 0.51/0.72 (step @p457 :rule and_intro :premises (@p515 @p516)) % 0.51/0.72 (step @p458 :rule modus_ponens :premises (@p457 @p454)) % 0.51/0.72 (step-pop @p521 :rule scope :premises (@p458)) % 0.51/0.72 (step-pop @p522 :rule scope :premises (@p521)) % 0.51/0.72 (step @p459 :rule process_scope :premises (@p522) :args (@t308)) % 0.51/0.72 (step @p462 :rule implies_elim :premises (@p459)) % 0.51/0.72 (step @p463 :rule cnf_and_neg :args (@t312)) % 0.51/0.72 (step @p464 :rule resolution :premises (@p463 @p462) :args (true @t312)) % 0.51/0.72 (step @p465 :rule chain_m_resolution :premises (@p464 @p448 @p446 @p17 @p419 @p414 @p409 @p403 @p402 @p400 @p399 @p108 @p103) :args (@t115 (@list true false false false false false true true true true false false) (@list @t308 @t311 @t38 @t271 @t273 @t117 @t275 @t276 @t277 @t278 @t122 @t119))) % 0.51/0.72 (step @p466 :rule cnf_or_neg :args (@t277 1)) % 0.51/0.72 (step @p467 :rule reordering :premises (@p466) :args ((or @t118 @t277))) % 0.51/0.72 (step @p468 :rule chain_m_resolution :premises (@p467 @p465) :args (@t277 (@list false) (@list @t115))) % 0.51/0.72 (step @p469 :rule chain_m_resolution :premises (@p400 @p399 @p468) :args ((not @t119) @t313 (@list @t278 @t277))) % 0.51/0.72 (step @p470 :rule cnf_or_neg :args (@t119 1)) % 0.51/0.72 (step @p471 :rule chain_m_resolution :premises (@p470 @p469) :args (@t121 @t293 (@list @t119))) % 0.51/0.72 (step @p472 :rule nary_cong :premises (@p104 @p404) :args ((or @t122 @t295))) % 0.51/0.72 (step @p473 :rule cnf_or_neg :args (@t122 1)) % 0.51/0.72 (step @p474 :rule eq_resolve :premises (@p473 @p472)) % 0.51/0.72 (step @p475 :rule reordering :premises (@p474) :args ((or @t117 @t122))) % 0.51/0.72 (step @p476 :rule chain_m_resolution :premises (@p475 @p471) :args (@t122 @t293 (@list @t117))) % 0.51/0.72 (step @p477 :rule chain_m_resolution :premises (@p403 @p402 @p476) :args ((not @t275) @t313 (@list @t276 @t122))) % 0.51/0.72 (step @p478 :rule bool-double-not-elim :args (@t268)) % 0.51/0.72 (step @p479 :rule nary_cong :premises (@p378 @p478) :args ((or @t275 (not @t269)))) % 0.51/0.72 (step @p480 :rule cnf_or_neg :args (@t275 2)) % 0.51/0.72 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 0.51/0.72 (step @p482 :rule reordering :premises (@p481) :args ((or @t268 @t275))) % 0.51/0.72 (step @p483 :rule chain_m_resolution :premises (@p482 @p477) :args (@t268 @t293 @t314)) % 0.51/0.72 (step @p484 :rule bool-impl-elim :args (@t8 @t60)) % 0.51/0.72 (step @p485 :rule cong :premises (@p484) :args (@t61)) % 0.51/0.72 (step @p486 :rule eq_resolve :premises (@p38 @p485)) % 0.51/0.72 (step @p487 :rule instantiate :premises (@p486) :args ((@list @t267))) % 0.51/0.72 (step @p488 :rule chain_m_resolution :premises (@p414 @p477) :args (@t273 @t293 @t314)) % 0.51/0.72 (step @p489 :rule cnf_or_pos :args (@t317)) % 0.51/0.72 (step @p490 :rule reordering :premises (@p489) :args ((or @t274 @t316 (not @t317)))) % 0.51/0.72 (step @p491 :rule chain_m_resolution :premises (@p490 @p488 @p487) :args (@t316 (@list false false) (@list @t273 @t317))) % 0.51/0.72 (assume-push @p523 @t115) % 0.51/0.72 (assume-push @p524 @t268) % 0.51/0.72 (assume-push @p525 @t268) % 0.51/0.72 (assume-push @p526 @t115) % 0.51/0.72 (step @p496 :rule true_intro :premises (@p524)) % 0.51/0.72 (step @p497 :rule refl :args (@t267)) % 0.51/0.72 (step @p498 :rule cong :premises (@p523 @p497) :args (@t315)) % 0.51/0.72 (step @p499 :rule trans :premises (@p498 @p496)) % 0.51/0.72 (step @p500 :rule true_elim :premises (@p499)) % 0.51/0.72 (step-pop @p527 :rule scope :premises (@p500)) % 0.51/0.72 (step-pop @p528 :rule scope :premises (@p527)) % 0.51/0.72 (step @p501 :rule process_scope :premises (@p528) :args (@t315)) % 0.51/0.72 (step @p504 :rule and_intro :premises (@p524 @p523)) % 0.51/0.72 (step @p505 :rule modus_ponens :premises (@p504 @p501)) % 0.51/0.72 (step-pop @p529 :rule scope :premises (@p505)) % 0.51/0.72 (step-pop @p530 :rule scope :premises (@p529)) % 0.51/0.72 (step @p506 :rule process_scope :premises (@p530) :args (@t315)) % 0.51/0.72 (step @p509 :rule implies_elim :premises (@p506)) % 0.51/0.72 (step @p510 :rule cnf_and_neg :args (@t318)) % 0.51/0.72 (step @p511 :rule resolution :premises (@p510 @p509) :args (true @t318)) % 0.51/0.72 (step @p512 false :rule chain_m_resolution :premises (@p511 @p491 @p483 @p465) :args (false (@list true false false) (@list @t315 @t268 @t115))) % 0.51/0.72 ) % 0.51/0.72 % SZS output end Proof % 0.51/0.72 % cvc5 exiting %------------------------------------------------------------------------------