%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC378+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 : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:05 AM UTC 2026 % Result : Theorem 0.52s 0.71s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC378+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:44:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.71 % SZS status Theorem % 0.52/0.71 % SZS output start Proof % 0.52/0.71 ( % 0.52/0.71 (declare-sort $$unsorted 0) % 0.52/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.nil $$unsorted) % 0.52/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (define @t1 () (@var "V" $$unsorted)) % 0.52/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.52/0.71 (define @t3 () (= @t2 @t1)) % 0.52/0.71 (define @t4 () (not @t3)) % 0.52/0.71 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.52/0.71 (define @t6 () (tptp.ssItem @t1)) % 0.52/0.71 (define @t7 () (@list @t1)) % 0.52/0.71 (define @t8 () (tptp.ssItem @t2)) % 0.52/0.71 (define @t9 () (@list @t2)) % 0.52/0.71 (define @t10 () (@var "X" $$unsorted)) % 0.52/0.71 (define @t11 () (tptp.cons @t1 @t10)) % 0.52/0.71 (define @t12 () (@var "W" $$unsorted)) % 0.52/0.71 (define @t13 () (tptp.ssList @t10)) % 0.52/0.71 (define @t14 () (@list @t10)) % 0.52/0.71 (define @t15 () (tptp.ssList @t12)) % 0.52/0.71 (define @t16 () (@list @t12)) % 0.52/0.71 (define @t17 () (tptp.ssList @t2)) % 0.52/0.71 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.52/0.71 (define @t19 () (tptp.app @t1 @t12)) % 0.52/0.71 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.52/0.71 (define @t21 () (tptp.ssList @t1)) % 0.52/0.71 (define @t22 () (tptp.app @t12 @t1)) % 0.52/0.71 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.52/0.71 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.52/0.71 (define @t25 () (tptp.leq @t12 @t1)) % 0.52/0.71 (define @t26 () (tptp.leq @t1 @t12)) % 0.52/0.71 (define @t27 () (@var "Z" $$unsorted)) % 0.52/0.71 (define @t28 () (@var "Y" $$unsorted)) % 0.52/0.71 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.52/0.71 (define @t30 () (tptp.ssList @t27)) % 0.52/0.71 (define @t31 () (@list @t27)) % 0.52/0.71 (define @t32 () (tptp.ssList @t28)) % 0.52/0.71 (define @t33 () (@list @t28)) % 0.52/0.71 (define @t34 () (tptp.ssItem @t12)) % 0.52/0.71 (define @t35 () (tptp.lt @t1 @t12)) % 0.52/0.71 (define @t36 () (= @t1 @t12)) % 0.52/0.71 (define @t37 () (tptp.cons @t1 @t2)) % 0.52/0.71 (define @t38 () (= @t1 @t2)) % 0.52/0.71 (define @t39 () (tptp.cons @t12 @t1)) % 0.52/0.71 (define @t40 () (= tptp.nil @t2)) % 0.52/0.71 (define @t41 () (tptp.hd @t2)) % 0.52/0.71 (define @t42 () (not @t40)) % 0.52/0.71 (define @t43 () (tptp.tl @t2)) % 0.52/0.71 (define @t44 () (tptp.app @t2 @t1)) % 0.52/0.71 (define @t45 () (tptp.app @t1 @t2)) % 0.52/0.71 (define @t46 () (tptp.leq @t1 @t2)) % 0.52/0.71 (define @t47 () (tptp.leq @t2 @t1)) % 0.52/0.71 (define @t48 () (tptp.geq @t2 @t1)) % 0.52/0.71 (define @t49 () (tptp.lt @t1 @t2)) % 0.52/0.71 (define @t50 () (tptp.lt @t2 @t1)) % 0.52/0.71 (define @t51 () (tptp.lt @t2 @t12)) % 0.52/0.71 (define @t52 () (tptp.gt @t2 @t1)) % 0.52/0.71 (define @t53 () (tptp.memberP @t12 @t2)) % 0.52/0.71 (define @t54 () (tptp.memberP @t1 @t2)) % 0.52/0.71 (define @t55 () (= (tptp.memberP @t19 @t2) (or @t54 @t53))) % 0.52/0.71 (define @t56 () (forall @t16 (=> @t15 @t55))) % 0.52/0.71 (define @t57 () (=> @t21 @t56)) % 0.52/0.71 (define @t58 () (forall @t7 @t57)) % 0.52/0.71 (define @t59 () (=> @t8 @t58)) % 0.52/0.71 (define @t60 () (forall @t9 @t59)) % 0.52/0.71 (define @t61 () (tptp.app @t12 @t2)) % 0.52/0.71 (define @t62 () (tptp.cons @t2 tptp.nil)) % 0.52/0.71 (define @t63 () (tptp.hd @t1)) % 0.52/0.71 (define @t64 () (= tptp.nil @t1)) % 0.52/0.71 (define @t65 () (not @t64)) % 0.52/0.71 (define @t66 () (tptp.cons @t2 @t1)) % 0.52/0.71 (define @t67 () (= @t12 @t2)) % 0.52/0.71 (define @t68 () (@var "X1" $$unsorted)) % 0.52/0.71 (define @t69 () (tptp.memberP @t2 @t68)) % 0.52/0.71 (define @t70 () (tptp.memberP @t1 @t68)) % 0.52/0.71 (define @t71 () (forall (@list @t68) (or (not (tptp.ssItem @t68)) (and (not @t70) (not @t69)) (and @t70 @t69)))) % 0.52/0.71 (define @t72 () (tptp.app @t27 @t28)) % 0.52/0.71 (define @t73 () (not (= @t72 @t12))) % 0.52/0.71 (define @t74 () (tptp.app @t28 @t27)) % 0.52/0.71 (define @t75 () (not (= @t74 @t10))) % 0.52/0.71 (define @t76 () (not @t30)) % 0.52/0.71 (define @t77 () (or @t76 @t75 @t73)) % 0.52/0.71 (define @t78 () (forall @t31 @t77)) % 0.52/0.71 (define @t79 () (=> @t32 @t78)) % 0.52/0.71 (define @t80 () (forall @t33 @t79)) % 0.52/0.71 (define @t81 () (not (= @t2 @t12))) % 0.52/0.71 (define @t82 () (not (= @t1 @t10))) % 0.52/0.71 (define @t83 () (not @t13)) % 0.52/0.71 (define @t84 () (or @t83 @t82 @t81 @t80 @t71)) % 0.52/0.71 (define @t85 () (forall @t14 @t84)) % 0.52/0.71 (define @t86 () (=> @t15 @t85)) % 0.52/0.71 (define @t87 () (forall @t16 @t86)) % 0.52/0.71 (define @t88 () (=> @t21 @t87)) % 0.52/0.71 (define @t89 () (forall @t7 @t88)) % 0.52/0.71 (define @t90 () (=> @t17 @t89)) % 0.52/0.71 (define @t91 () (forall @t9 @t90)) % 0.52/0.71 (define @t92 () (not @t91)) % 0.52/0.71 (define @t93 () (@var "BOUND_VARIABLE_9661" $$unsorted)) % 0.52/0.71 (define @t94 () (@var "BOUND_VARIABLE_9659" $$unsorted)) % 0.52/0.71 (define @t95 () (= (tptp.memberP (tptp.app @t94 @t93) @t2) (or (tptp.memberP @t94 @t2) (tptp.memberP @t93 @t2)))) % 0.52/0.71 (define @t96 () (not (tptp.ssList @t93))) % 0.52/0.71 (define @t97 () (not (tptp.ssList @t94))) % 0.52/0.71 (define @t98 () (not @t8)) % 0.52/0.71 (define @t99 () (or @t97 @t96 @t95)) % 0.52/0.71 (define @t100 () (or @t98 @t99)) % 0.52/0.71 (define @t101 () (forall (@list @t2 @t94 @t93) @t100)) % 0.52/0.71 (define @t102 () (@list @t94 @t93)) % 0.52/0.71 (define @t103 () (forall @t102 @t100)) % 0.52/0.71 (define @t104 () (forall @t102 @t99)) % 0.52/0.71 (define @t105 () (@var "BOUND_VARIABLE_9640" $$unsorted)) % 0.52/0.71 (define @t106 () (or @t98 @t104)) % 0.52/0.71 (define @t107 () (= (tptp.memberP (tptp.app @t1 @t105) @t2) (or @t54 (tptp.memberP @t105 @t2)))) % 0.52/0.71 (define @t108 () (not (tptp.ssList @t105))) % 0.52/0.71 (define @t109 () (not @t21)) % 0.52/0.71 (define @t110 () (or @t109 @t108 @t107)) % 0.52/0.71 (define @t111 () (@list @t1 @t105)) % 0.52/0.71 (define @t112 () (forall @t111 @t110)) % 0.52/0.71 (define @t113 () (or @t108 @t107)) % 0.52/0.71 (define @t114 () (or @t109 @t113)) % 0.52/0.71 (define @t115 () (forall @t111 @t114)) % 0.52/0.71 (define @t116 () (@list @t105)) % 0.52/0.71 (define @t117 () (forall @t116 @t114)) % 0.52/0.71 (define @t118 () (forall @t116 @t113)) % 0.52/0.71 (define @t119 () (or @t109 @t118)) % 0.52/0.71 (define @t120 () (not @t15)) % 0.52/0.71 (define @t121 () (forall @t16 (or @t120 @t55))) % 0.52/0.71 (define @t122 () (@var "BOUND_VARIABLE_11097" $$unsorted)) % 0.52/0.71 (define @t123 () (not (tptp.ssList @t122))) % 0.52/0.71 (define @t124 () (@var "BOUND_VARIABLE_11095" $$unsorted)) % 0.52/0.71 (define @t125 () (not (tptp.ssList @t124))) % 0.52/0.71 (define @t126 () (@var "BOUND_VARIABLE_11093" $$unsorted)) % 0.52/0.71 (define @t127 () (tptp.app @t122 @t124)) % 0.52/0.71 (define @t128 () (tptp.memberP @t127 @t126)) % 0.52/0.71 (define @t129 () (tptp.app @t124 @t122)) % 0.52/0.71 (define @t130 () (tptp.memberP @t129 @t126)) % 0.52/0.71 (define @t131 () (and @t130 @t128)) % 0.52/0.71 (define @t132 () (not @t130)) % 0.52/0.71 (define @t133 () (and @t132 (not @t128))) % 0.52/0.71 (define @t134 () (not (tptp.ssItem @t126))) % 0.52/0.71 (define @t135 () (not (tptp.ssList @t129))) % 0.52/0.71 (define @t136 () (not (tptp.ssList @t127))) % 0.52/0.71 (define @t137 () (or @t136 @t135 @t134 @t133 @t131 @t125 @t123)) % 0.52/0.71 (define @t138 () (@list @t126 @t124 @t122)) % 0.52/0.71 (define @t139 () (forall @t138 @t137)) % 0.52/0.71 (define @t140 () (@quantifiers_skolemize @t139 2)) % 0.52/0.71 (define @t141 () (@quantifiers_skolemize @t139 1)) % 0.52/0.71 (define @t142 () (@quantifiers_skolemize @t139 0)) % 0.52/0.71 (define @t143 () (not (= @t127 @t127))) % 0.52/0.71 (define @t144 () (or @t136 @t135 @t134 @t133 @t131 @t125 @t123 @t143)) % 0.52/0.71 (define @t145 () (not (= @t2 @t127))) % 0.52/0.71 (define @t146 () (tptp.memberP @t2 @t126)) % 0.52/0.71 (define @t147 () (and @t130 @t146)) % 0.52/0.71 (define @t148 () (and @t132 (not @t146))) % 0.52/0.71 (define @t149 () (not @t17)) % 0.52/0.71 (define @t150 () (or @t145 @t149 @t135 @t134 @t148 @t147 @t125 @t123 @t145)) % 0.52/0.71 (define @t151 () (or @t149 @t135 @t134 @t148 @t147 @t125 @t123 @t145)) % 0.52/0.71 (define @t152 () (forall @t9 @t151)) % 0.52/0.71 (define @t153 () (forall @t138 @t152)) % 0.52/0.71 (define @t154 () (forall (@list @t126 @t124 @t122 @t2) @t151)) % 0.52/0.71 (define @t155 () (@list @t2 @t126 @t124 @t122)) % 0.52/0.71 (define @t156 () (or @t135 @t134 @t148 @t147 @t125 @t123 @t145)) % 0.52/0.71 (define @t157 () (or @t149 @t156)) % 0.52/0.71 (define @t158 () (forall @t155 @t157)) % 0.52/0.71 (define @t159 () (forall @t138 @t157)) % 0.52/0.71 (define @t160 () (forall @t138 @t156)) % 0.52/0.71 (define @t161 () (@var "BOUND_VARIABLE_11057" $$unsorted)) % 0.52/0.71 (define @t162 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 0.52/0.71 (define @t163 () (@var "BOUND_VARIABLE_11044" $$unsorted)) % 0.52/0.71 (define @t164 () (or @t149 @t160)) % 0.52/0.71 (define @t165 () (not (= @t2 (tptp.app @t161 @t162)))) % 0.52/0.71 (define @t166 () (not (tptp.ssList @t161))) % 0.52/0.71 (define @t167 () (not (tptp.ssList @t162))) % 0.52/0.71 (define @t168 () (tptp.memberP @t2 @t163)) % 0.52/0.71 (define @t169 () (tptp.app @t162 @t161)) % 0.52/0.71 (define @t170 () (tptp.memberP @t169 @t163)) % 0.52/0.71 (define @t171 () (and @t170 @t168)) % 0.52/0.71 (define @t172 () (not @t168)) % 0.52/0.71 (define @t173 () (and (not @t170) @t172)) % 0.52/0.71 (define @t174 () (not (tptp.ssItem @t163))) % 0.52/0.71 (define @t175 () (not (tptp.ssList @t169))) % 0.52/0.71 (define @t176 () (or @t175 @t174 @t173 @t171 @t167 @t166 @t165)) % 0.52/0.71 (define @t177 () (@list @t163 @t162 @t161)) % 0.52/0.71 (define @t178 () (or @t149 (forall @t177 @t176))) % 0.52/0.71 (define @t179 () (not (= @t169 @t169))) % 0.52/0.71 (define @t180 () (or @t175 @t174 @t173 @t171 @t167 @t166 @t179 @t165)) % 0.52/0.71 (define @t181 () (not (= @t1 @t169))) % 0.52/0.71 (define @t182 () (tptp.memberP @t1 @t163)) % 0.52/0.71 (define @t183 () (and @t182 @t168)) % 0.52/0.71 (define @t184 () (and (not @t182) @t172)) % 0.52/0.71 (define @t185 () (or @t181 @t109 @t174 @t184 @t183 @t167 @t166 @t181 @t165)) % 0.52/0.71 (define @t186 () (or @t109 @t174 @t184 @t183 @t167 @t166 @t181 @t165)) % 0.52/0.71 (define @t187 () (forall @t7 @t186)) % 0.52/0.71 (define @t188 () (forall @t177 @t187)) % 0.52/0.71 (define @t189 () (forall (@list @t163 @t162 @t161 @t1) @t186)) % 0.52/0.71 (define @t190 () (@list @t1 @t163 @t162 @t161)) % 0.52/0.71 (define @t191 () (or @t167 @t166 @t181 @t165)) % 0.52/0.71 (define @t192 () (or @t174 @t184 @t183)) % 0.52/0.71 (define @t193 () (or @t109 @t192 @t191)) % 0.52/0.71 (define @t194 () (forall @t190 @t193)) % 0.52/0.71 (define @t195 () (forall @t177 @t193)) % 0.52/0.71 (define @t196 () (forall (@list @t162 @t161) @t191)) % 0.52/0.71 (define @t197 () (@var "BOUND_VARIABLE_11004" $$unsorted)) % 0.52/0.71 (define @t198 () (@var "BOUND_VARIABLE_11002" $$unsorted)) % 0.52/0.71 (define @t199 () (@list @t198 @t197)) % 0.52/0.71 (define @t200 () (forall (@list @t163) @t192)) % 0.52/0.71 (define @t201 () (or @t109 @t200 @t196)) % 0.52/0.71 (define @t202 () (tptp.app @t197 @t198)) % 0.52/0.71 (define @t203 () (not (= @t2 @t202))) % 0.52/0.71 (define @t204 () (not (= @t1 (tptp.app @t198 @t197)))) % 0.52/0.71 (define @t205 () (not (tptp.ssList @t197))) % 0.52/0.71 (define @t206 () (not (tptp.ssList @t198))) % 0.52/0.71 (define @t207 () (or @t206 @t205 @t204 @t203)) % 0.52/0.71 (define @t208 () (@list @t198 @t197)) % 0.52/0.71 (define @t209 () (forall @t208 @t207)) % 0.52/0.71 (define @t210 () (or @t109 @t71 @t209)) % 0.52/0.71 (define @t211 () (forall @t7 @t210)) % 0.52/0.71 (define @t212 () (or @t149 @t211)) % 0.52/0.71 (define @t213 () (or @t149 @t210)) % 0.52/0.71 (define @t214 () (or @t109 @t71 @t149 @t209)) % 0.52/0.71 (define @t215 () (or @t71 @t109 @t149 @t209)) % 0.52/0.71 (define @t216 () (or @t149 @t209)) % 0.52/0.71 (define @t217 () (or @t149 @t207)) % 0.52/0.71 (define @t218 () (or @t149 @t206 @t205 @t204 @t203)) % 0.52/0.71 (define @t219 () (not (= @t2 @t2))) % 0.52/0.71 (define @t220 () (or @t149 @t219 @t206 @t205 @t204 @t203)) % 0.52/0.71 (define @t221 () (not (= @t12 @t202))) % 0.52/0.71 (define @t222 () (or @t81 @t120 @t81 @t206 @t205 @t204 @t221)) % 0.52/0.71 (define @t223 () (or @t120 @t81 @t206 @t205 @t204 @t221)) % 0.52/0.71 (define @t224 () (forall @t16 @t223)) % 0.52/0.71 (define @t225 () (forall @t208 @t224)) % 0.52/0.71 (define @t226 () (forall (@list @t198 @t197 @t12) @t223)) % 0.52/0.71 (define @t227 () (@list @t12 @t198 @t197)) % 0.52/0.71 (define @t228 () (or @t206 @t205 @t204 @t221)) % 0.52/0.71 (define @t229 () (or @t120 @t81 @t228)) % 0.52/0.71 (define @t230 () (forall @t227 @t229)) % 0.52/0.71 (define @t231 () (forall @t208 @t229)) % 0.52/0.71 (define @t232 () (forall @t208 @t228)) % 0.52/0.71 (define @t233 () (@var "BOUND_VARIABLE_10964" $$unsorted)) % 0.52/0.71 (define @t234 () (@var "BOUND_VARIABLE_10962" $$unsorted)) % 0.52/0.71 (define @t235 () (@list @t234 @t233)) % 0.52/0.71 (define @t236 () (or @t120 @t81 @t232)) % 0.52/0.71 (define @t237 () (not (= @t12 (tptp.app @t233 @t234)))) % 0.52/0.71 (define @t238 () (tptp.app @t234 @t233)) % 0.52/0.71 (define @t239 () (not (= @t1 @t238))) % 0.52/0.71 (define @t240 () (not (tptp.ssList @t233))) % 0.52/0.71 (define @t241 () (not (tptp.ssList @t234))) % 0.52/0.71 (define @t242 () (or @t241 @t240 @t239 @t237)) % 0.52/0.71 (define @t243 () (@list @t234 @t233)) % 0.52/0.71 (define @t244 () (forall @t243 @t242)) % 0.52/0.71 (define @t245 () (or @t120 @t81 @t244)) % 0.52/0.71 (define @t246 () (forall @t16 @t245)) % 0.52/0.71 (define @t247 () (or @t71 @t109 @t246)) % 0.52/0.71 (define @t248 () (or @t71 @t109 @t245)) % 0.52/0.71 (define @t249 () (or @t120 @t81 @t71 @t109 @t244)) % 0.52/0.71 (define @t250 () (or @t81 @t71 @t109 @t244)) % 0.52/0.71 (define @t251 () (or @t109 @t244)) % 0.52/0.71 (define @t252 () (or @t109 @t242)) % 0.52/0.71 (define @t253 () (or @t109 @t241 @t240 @t239 @t237)) % 0.52/0.71 (define @t254 () (not (= @t1 @t1))) % 0.52/0.71 (define @t255 () (or @t109 @t254 @t241 @t240 @t239 @t237)) % 0.52/0.71 (define @t256 () (not (= @t10 @t238))) % 0.52/0.71 (define @t257 () (or @t82 @t83 @t82 @t241 @t240 @t256 @t237)) % 0.52/0.71 (define @t258 () (or @t83 @t82 @t241 @t240 @t256 @t237)) % 0.52/0.71 (define @t259 () (forall @t14 @t258)) % 0.52/0.71 (define @t260 () (forall @t243 @t259)) % 0.52/0.71 (define @t261 () (forall (@list @t234 @t233 @t10) @t258)) % 0.52/0.71 (define @t262 () (@list @t10 @t234 @t233)) % 0.52/0.71 (define @t263 () (or @t241 @t240 @t256 @t237)) % 0.52/0.71 (define @t264 () (or @t83 @t82 @t263)) % 0.52/0.71 (define @t265 () (forall @t262 @t264)) % 0.52/0.71 (define @t266 () (forall @t243 @t264)) % 0.52/0.71 (define @t267 () (forall @t243 @t263)) % 0.52/0.71 (define @t268 () (@var "BOUND_VARIABLE_10941" $$unsorted)) % 0.52/0.71 (define @t269 () (or @t83 @t82 @t267)) % 0.52/0.71 (define @t270 () (not (= @t12 (tptp.app @t268 @t28)))) % 0.52/0.71 (define @t271 () (not (= @t10 (tptp.app @t28 @t268)))) % 0.52/0.71 (define @t272 () (not (tptp.ssList @t268))) % 0.52/0.71 (define @t273 () (not @t32)) % 0.52/0.71 (define @t274 () (or @t273 @t272 @t271 @t270)) % 0.52/0.71 (define @t275 () (@list @t28 @t268)) % 0.52/0.71 (define @t276 () (forall @t275 @t274)) % 0.52/0.71 (define @t277 () (or @t83 @t82 @t276)) % 0.52/0.71 (define @t278 () (forall @t14 @t277)) % 0.52/0.71 (define @t279 () (or @t81 @t71 @t278)) % 0.52/0.71 (define @t280 () (or @t81 @t71 @t277)) % 0.52/0.71 (define @t281 () (or @t83 @t82 @t81 @t276 @t71)) % 0.52/0.71 (define @t282 () (or @t272 @t271 @t270)) % 0.52/0.71 (define @t283 () (or @t273 @t282)) % 0.52/0.71 (define @t284 () (forall @t275 @t283)) % 0.52/0.71 (define @t285 () (@list @t268)) % 0.52/0.71 (define @t286 () (forall @t285 @t283)) % 0.52/0.71 (define @t287 () (forall @t285 @t282)) % 0.52/0.71 (define @t288 () (or @t273 @t287)) % 0.52/0.71 (define @t289 () (forall @t31 (or @t76 (not (= @t10 @t74)) (not (= @t12 @t72))))) % 0.52/0.71 (define @t290 () (tptp.ssList @t140)) % 0.52/0.71 (define @t291 () (not @t290)) % 0.52/0.71 (define @t292 () (tptp.ssList @t141)) % 0.52/0.71 (define @t293 () (not @t292)) % 0.52/0.71 (define @t294 () (tptp.app @t140 @t141)) % 0.52/0.71 (define @t295 () (tptp.memberP @t294 @t142)) % 0.52/0.71 (define @t296 () (tptp.app @t141 @t140)) % 0.52/0.71 (define @t297 () (tptp.memberP @t296 @t142)) % 0.52/0.71 (define @t298 () (and @t297 @t295)) % 0.52/0.71 (define @t299 () (not @t295)) % 0.52/0.71 (define @t300 () (not @t297)) % 0.52/0.71 (define @t301 () (and @t300 @t299)) % 0.52/0.71 (define @t302 () (tptp.ssItem @t142)) % 0.52/0.71 (define @t303 () (not @t302)) % 0.52/0.71 (define @t304 () (or (not (tptp.ssList @t294)) (not (tptp.ssList @t296)) @t303 @t301 @t298 @t293 @t291)) % 0.52/0.71 (define @t305 () (@list true)) % 0.52/0.71 (define @t306 () (@list @t304)) % 0.52/0.71 (define @t307 () (tptp.memberP @t140 @t142)) % 0.52/0.71 (define @t308 () (tptp.memberP @t141 @t142)) % 0.52/0.71 (define @t309 () (or @t308 @t307)) % 0.52/0.71 (define @t310 () (= @t297 @t309)) % 0.52/0.71 (define @t311 () (or @t303 @t293 @t291 @t310)) % 0.52/0.71 (define @t312 () (@list false false false false)) % 0.52/0.71 (define @t313 () (not @t310)) % 0.52/0.71 (define @t314 () (not @t309)) % 0.52/0.71 (define @t315 () (or @t307 @t308)) % 0.52/0.71 (define @t316 () (= @t295 @t315)) % 0.52/0.71 (define @t317 () (or @t303 @t291 @t293 @t316)) % 0.52/0.71 (define @t318 () (not @t316)) % 0.52/0.71 (define @t319 () (not @t315)) % 0.52/0.71 (define @t320 () (@list @t315)) % 0.52/0.71 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.52/0.71 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.52/0.71 (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))))))))))) % 0.52/0.71 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.52/0.71 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.52/0.71 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.52/0.71 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.52/0.71 (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))))))))))))))))) % 0.52/0.71 (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)))))))))))))))) % 0.52/0.71 (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))))))))))))))))) % 0.52/0.71 (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))))))))))))))) % 0.52/0.71 (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))))))))))))))) % 0.52/0.71 (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)))))))))))))))) % 0.52/0.71 (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))))))))))))) % 0.52/0.71 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.52/0.71 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.52/0.71 (assume @p17 (tptp.ssList tptp.nil)) % 0.52/0.71 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.52/0.71 (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) @t38))))))))))) % 0.52/0.71 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.52/0.71 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.52/0.71 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.52/0.71 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.52/0.71 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.52/0.71 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.52/0.71 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.52/0.71 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.52/0.71 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.52/0.71 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.52/0.71 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.52/0.71 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.52/0.71 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.52/0.71 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.52/0.71 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.52/0.71 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.52/0.71 (assume @p36 @t60) % 0.52/0.71 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.52/0.71 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.52/0.71 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.52/0.71 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.52/0.71 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.52/0.71 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.52/0.71 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.52/0.71 (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)))))))))))) % 0.52/0.71 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.52/0.71 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.52/0.71 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.52/0.71 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.52/0.71 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.52/0.71 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t61 @t1))))))))) % 0.52/0.71 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.52/0.71 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.52/0.71 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.52/0.71 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.52/0.71 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.52/0.71 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t61 @t10) @t1))))))))))) % 0.52/0.71 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.52/0.71 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.52/0.71 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t62)))) % 0.52/0.71 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.52/0.71 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t62)))) % 0.52/0.71 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.52/0.71 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t62)))) % 0.52/0.71 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.52/0.71 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t62)))) % 0.52/0.71 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.52/0.71 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t66) (or @t64 (and @t65 (tptp.totalorderedP @t1) (tptp.leq @t2 @t63))))))))) % 0.52/0.71 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t62)))) % 0.52/0.71 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.52/0.71 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t66) (or @t64 (and @t65 (tptp.strictorderedP @t1) (tptp.lt @t2 @t63))))))))) % 0.52/0.71 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t62)))) % 0.52/0.71 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.52/0.71 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t62)))) % 0.52/0.71 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.52/0.71 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.52/0.71 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.52/0.71 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t65 @t42 (= @t63 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.52/0.71 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.52/0.71 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t67)))))))) % 0.52/0.71 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t67)))))))) % 0.52/0.71 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.52/0.71 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.52/0.71 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t64 @t40))))))) % 0.52/0.71 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.52/0.71 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.52/0.71 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.52/0.71 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.52/0.71 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.52/0.71 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.52/0.71 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.52/0.71 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.52/0.71 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.52/0.71 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0.52/0.72 (step @p370 :rule cong :premises (@p369) :args (@t75)) % 0.52/0.72 (step @p371 :rule refl :args (@t76)) % 0.52/0.72 (step @p372 :rule nary_cong :premises (@p371 @p370 @p368) :args (@t77)) % 0.52/0.72 (step @p373 :rule cong :premises (@p372) :args (@t78)) % 0.52/0.72 (step @p374 :rule refl :args (@t32)) % 0.52/0.72 (step @p375 :rule cong :premises (@p374 @p373) :args (@t79)) % 0.52/0.72 (step @p376 :rule cong :premises (@p375) :args (@t80)) % 0.52/0.72 (step @p377 :rule trans :premises (@p376 @p366)) % 0.52/0.72 (step @p378 :rule refl :args (@t82)) % 0.52/0.72 (step @p379 :rule refl :args (@t83)) % 0.52/0.72 (step @p380 :rule nary_cong :premises (@p379 @p378 @p344 @p377 @p282) :args (@t84)) % 0.52/0.72 (step @p381 :rule cong :premises (@p380) :args (@t85)) % 0.52/0.72 (step @p382 :rule trans :premises (@p381 @p351)) % 0.52/0.72 (step @p383 :rule refl :args (@t15)) % 0.52/0.72 (step @p384 :rule cong :premises (@p383 @p382) :args (@t86)) % 0.52/0.72 (step @p385 :rule cong 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6)) % 0.52/0.72 (step @p401 :rule eq_resolve :premises (@p400 @p399)) % 0.52/0.72 (step @p402 :rule reordering :premises (@p401) :args ((or @t290 @t304))) % 0.52/0.72 (step @p403 :rule chain_m_resolution :premises (@p402 @p396) :args (@t290 @t305 @t306)) % 0.52/0.72 (step @p404 :rule bool-double-not-elim :args (@t292)) % 0.52/0.72 (step @p405 :rule nary_cong :premises (@p398 @p404) :args ((or @t304 (not @t293)))) % 0.52/0.72 (step @p406 :rule cnf_or_neg :args (@t304 5)) % 0.52/0.72 (step @p407 :rule eq_resolve :premises (@p406 @p405)) % 0.52/0.72 (step @p408 :rule reordering :premises (@p407) :args ((or @t292 @t304))) % 0.52/0.72 (step @p409 :rule chain_m_resolution :premises (@p408 @p396) :args (@t292 @t305 @t306)) % 0.52/0.72 (step @p410 :rule bool-double-not-elim :args (@t302)) % 0.52/0.72 (step @p411 :rule nary_cong :premises (@p398 @p410) :args ((or @t304 (not @t303)))) % 0.52/0.72 (step @p412 :rule cnf_or_neg :args (@t304 2)) % 0.52/0.72 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 0.52/0.72 (step @p414 :rule reordering :premises (@p413) :args ((or @t302 @t304))) % 0.52/0.72 (step @p415 :rule chain_m_resolution :premises (@p414 @p396) :args (@t302 @t305 @t306)) % 0.52/0.72 (step @p416 :rule cnf_or_pos :args (@t311)) % 0.52/0.72 (step @p417 :rule reordering :premises (@p416) :args ((or @t303 @t293 @t291 @t310 (not @t311)))) % 0.52/0.72 (step @p418 :rule chain_m_resolution :premises (@p417 @p415 @p409 @p403 @p139) :args (@t310 @t312 (@list @t302 @t292 @t290 @t311))) % 0.52/0.72 (step @p419 :rule cnf_or_neg :args (@t304 3)) % 0.52/0.72 (step @p420 :rule chain_m_resolution :premises (@p419 @p396) :args ((not @t301) @t305 @t306)) % 0.52/0.72 (step @p421 :rule bool-double-not-elim :args (@t295)) % 0.52/0.72 (step @p422 :rule bool-double-not-elim :args (@t297)) % 0.52/0.72 (step @p423 :rule refl :args (@t301)) % 0.52/0.72 (step @p424 :rule nary_cong :premises (@p423 @p422 @p421) :args ((or @t301 (not @t300) (not @t299)))) % 0.52/0.72 (step @p425 :rule 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(@t309 1)) % 0.52/0.72 (step @p438 :rule cnf_or_pos :args (@t315)) % 0.52/0.72 (step @p439 :rule reordering :premises (@p438) :args ((or @t308 @t307 @t319))) % 0.52/0.72 (step @p440 :rule chain_m_resolution :premises (@p439 @p437 @p436 @p435 @p433 @p429 @p418 @p427 @p420) :args (@t297 (@list true true false false true false false true) (@list @t307 @t308 @t315 @t316 @t309 @t310 @t295 @t301))) % 0.52/0.72 (step @p441 :rule cnf_equiv_pos1 :args (@t310)) % 0.52/0.72 (step @p442 :rule reordering :premises (@p441) :args ((or @t300 @t309 @t313))) % 0.52/0.72 (step @p443 :rule chain_m_resolution :premises (@p442 @p440 @p418) :args (@t309 (@list false false) (@list @t297 @t310))) % 0.52/0.72 (step @p444 :rule cnf_or_neg :args (@t304 4)) % 0.52/0.72 (step @p445 :rule chain_m_resolution :premises (@p444 @p396) :args ((not @t298) @t305 @t306)) % 0.52/0.72 (step @p446 :rule cnf_and_neg :args (@t298)) % 0.52/0.72 (step @p447 :rule reordering :premises (@p446) :args ((or @t300 @t299 @t298))) % 0.52/0.72 (step @p448 :rule chain_m_resolution :premises (@p447 @p440 @p445) :args (@t299 (@list false true) (@list @t297 @t298))) % 0.52/0.72 (step @p449 :rule cnf_equiv_pos2 :args (@t316)) % 0.52/0.72 (step @p450 :rule reordering :premises (@p449) :args ((or @t295 @t319 @t318))) % 0.52/0.72 (step @p451 :rule chain_m_resolution :premises (@p450 @p448 @p433) :args (@t319 (@list true false) (@list @t295 @t316))) % 0.52/0.72 (step @p452 :rule cnf_or_neg :args (@t315 0)) % 0.52/0.72 (step @p453 :rule chain_m_resolution :premises (@p452 @p451) :args ((not @t307) @t305 @t320)) % 0.52/0.72 (step @p454 :rule cnf_or_neg :args (@t315 1)) % 0.52/0.72 (step @p455 :rule chain_m_resolution :premises (@p454 @p451) :args ((not @t308) @t305 @t320)) % 0.52/0.72 (step @p456 :rule cnf_or_pos :args (@t309)) % 0.52/0.72 (step @p457 :rule reordering :premises (@p456) :args ((or @t308 @t307 @t314))) % 0.52/0.72 (step @p458 false :rule chain_m_resolution :premises (@p457 @p455 @p453 @p443) :args (false (@list true true false) (@list @t308 @t307 @t309))) % 0.52/0.72 ) % 0.52/0.72 % SZS output end Proof % 0.52/0.72 % cvc5 exiting %------------------------------------------------------------------------------