%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC408+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 : n020.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 08:59:12 AM UTC 2026 % Result : Theorem 0.36s 0.70s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC408+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n020.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:46:40 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.70 % SZS status Theorem % 0.36/0.70 % SZS output start Proof % 0.36/0.70 ( % 0.36/0.70 (declare-sort $$unsorted 0) % 0.36/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.nil $$unsorted) % 0.36/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (define @t1 () (@var "V" $$unsorted)) % 0.36/0.70 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.70 (define @t3 () (= @t2 @t1)) % 0.36/0.70 (define @t4 () (not @t3)) % 0.36/0.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.36/0.70 (define @t6 () (tptp.ssItem @t1)) % 0.36/0.70 (define @t7 () (@list @t1)) % 0.36/0.70 (define @t8 () (tptp.ssItem @t2)) % 0.36/0.70 (define @t9 () (@list @t2)) % 0.36/0.70 (define @t10 () (@var "X" $$unsorted)) % 0.36/0.70 (define @t11 () (tptp.cons @t1 @t10)) % 0.36/0.70 (define @t12 () (@var "W" $$unsorted)) % 0.36/0.70 (define @t13 () (tptp.ssList @t10)) % 0.36/0.70 (define @t14 () (@list @t10)) % 0.36/0.70 (define @t15 () (tptp.ssList @t12)) % 0.36/0.70 (define @t16 () (@list @t12)) % 0.36/0.70 (define @t17 () (tptp.ssList @t2)) % 0.36/0.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.36/0.70 (define @t19 () (tptp.app @t1 @t12)) % 0.36/0.70 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.36/0.70 (define @t21 () (tptp.ssList @t1)) % 0.36/0.70 (define @t22 () (tptp.app @t12 @t1)) % 0.36/0.70 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.36/0.70 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.36/0.70 (define @t25 () (tptp.leq @t12 @t1)) % 0.36/0.70 (define @t26 () (tptp.leq @t1 @t12)) % 0.36/0.70 (define @t27 () (@var "Z" $$unsorted)) % 0.36/0.70 (define @t28 () (@var "Y" $$unsorted)) % 0.36/0.70 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.36/0.70 (define @t30 () (tptp.ssList @t27)) % 0.36/0.70 (define @t31 () (@list @t27)) % 0.36/0.70 (define @t32 () (tptp.ssList @t28)) % 0.36/0.70 (define @t33 () (@list @t28)) % 0.36/0.70 (define @t34 () (tptp.ssItem @t12)) % 0.36/0.70 (define @t35 () (tptp.lt @t1 @t12)) % 0.36/0.70 (define @t36 () (= @t1 @t12)) % 0.36/0.70 (define @t37 () (tptp.cons @t1 @t2)) % 0.36/0.70 (define @t38 () (= @t1 @t2)) % 0.36/0.70 (define @t39 () (tptp.cons @t12 @t1)) % 0.36/0.70 (define @t40 () (= tptp.nil @t2)) % 0.36/0.70 (define @t41 () (tptp.hd @t2)) % 0.36/0.70 (define @t42 () (not @t40)) % 0.36/0.70 (define @t43 () (tptp.tl @t2)) % 0.36/0.70 (define @t44 () (tptp.app @t2 @t1)) % 0.36/0.70 (define @t45 () (tptp.app @t1 @t2)) % 0.36/0.70 (define @t46 () (tptp.leq @t1 @t2)) % 0.36/0.70 (define @t47 () (tptp.leq @t2 @t1)) % 0.36/0.70 (define @t48 () (tptp.geq @t2 @t1)) % 0.36/0.70 (define @t49 () (tptp.lt @t1 @t2)) % 0.36/0.70 (define @t50 () (tptp.lt @t2 @t1)) % 0.36/0.70 (define @t51 () (tptp.lt @t2 @t12)) % 0.36/0.70 (define @t52 () (tptp.gt @t2 @t1)) % 0.36/0.70 (define @t53 () (tptp.memberP @t12 @t2)) % 0.36/0.70 (define @t54 () (tptp.memberP @t1 @t2)) % 0.36/0.70 (define @t55 () (= (tptp.memberP @t19 @t2) (or @t54 @t53))) % 0.36/0.70 (define @t56 () (forall @t16 (=> @t15 @t55))) % 0.36/0.70 (define @t57 () (=> @t21 @t56)) % 0.36/0.70 (define @t58 () (forall @t7 @t57)) % 0.36/0.70 (define @t59 () (=> @t8 @t58)) % 0.36/0.70 (define @t60 () (forall @t9 @t59)) % 0.36/0.70 (define @t61 () (tptp.app @t12 @t2)) % 0.36/0.70 (define @t62 () (tptp.cons @t2 tptp.nil)) % 0.36/0.70 (define @t63 () (tptp.hd @t1)) % 0.36/0.70 (define @t64 () (= tptp.nil @t1)) % 0.36/0.70 (define @t65 () (not @t64)) % 0.36/0.70 (define @t66 () (tptp.cons @t2 @t1)) % 0.36/0.70 (define @t67 () (= @t12 @t2)) % 0.36/0.70 (define @t68 () (tptp.memberP @t2 @t28)) % 0.36/0.70 (define @t69 () (not (tptp.memberP @t1 @t28))) % 0.36/0.70 (define @t70 () (or @t69 @t68)) % 0.36/0.70 (define @t71 () (tptp.ssItem @t28)) % 0.36/0.70 (define @t72 () (forall @t33 (=> @t71 @t70))) % 0.36/0.70 (define @t73 () (not (= @t2 @t12))) % 0.36/0.70 (define @t74 () (not (= @t1 @t10))) % 0.36/0.70 (define @t75 () (tptp.app @t10 @t10)) % 0.36/0.70 (define @t76 () (not (= @t75 @t12))) % 0.36/0.70 (define @t77 () (or @t76 @t74 @t73 @t72)) % 0.36/0.70 (define @t78 () (=> @t13 @t77)) % 0.36/0.70 (define @t79 () (forall @t14 @t78)) % 0.36/0.70 (define @t80 () (=> @t15 @t79)) % 0.36/0.70 (define @t81 () (forall @t16 @t80)) % 0.36/0.70 (define @t82 () (=> @t21 @t81)) % 0.36/0.70 (define @t83 () (forall @t7 @t82)) % 0.36/0.70 (define @t84 () (=> @t17 @t83)) % 0.36/0.70 (define @t85 () (forall @t9 @t84)) % 0.36/0.70 (define @t86 () (not @t85)) % 0.36/0.70 (define @t87 () (@var "BOUND_VARIABLE_10983" $$unsorted)) % 0.36/0.70 (define @t88 () (@var "BOUND_VARIABLE_10981" $$unsorted)) % 0.36/0.70 (define @t89 () (tptp.app @t88 @t88)) % 0.36/0.70 (define @t90 () (tptp.memberP @t89 @t87)) % 0.36/0.70 (define @t91 () (not (tptp.memberP @t88 @t87))) % 0.36/0.70 (define @t92 () (not (tptp.ssItem @t87))) % 0.36/0.70 (define @t93 () (not (tptp.ssList @t88))) % 0.36/0.70 (define @t94 () (not (tptp.ssList @t89))) % 0.36/0.70 (define @t95 () (or @t94 @t93 @t92 @t91 @t90)) % 0.36/0.70 (define @t96 () (not (= @t89 @t89))) % 0.36/0.70 (define @t97 () (or @t94 @t93 @t96 @t92 @t91 @t90)) % 0.36/0.70 (define @t98 () (@list @t88 @t87)) % 0.36/0.70 (define @t99 () (tptp.memberP @t2 @t87)) % 0.36/0.70 (define @t100 () (not (= @t2 @t89))) % 0.36/0.70 (define @t101 () (not @t17)) % 0.36/0.70 (define @t102 () (or @t100 @t101 @t93 @t100 @t92 @t91 @t99)) % 0.36/0.70 (define @t103 () (or @t101 @t93 @t100 @t92 @t91 @t99)) % 0.36/0.70 (define @t104 () (forall @t9 @t103)) % 0.36/0.70 (define @t105 () (forall @t98 @t104)) % 0.36/0.70 (define @t106 () (forall (@list @t88 @t87 @t2) @t103)) % 0.36/0.70 (define @t107 () (@list @t2 @t88 @t87)) % 0.36/0.70 (define @t108 () (or @t93 @t100 @t92 @t91 @t99)) % 0.36/0.70 (define @t109 () (or @t101 @t108)) % 0.36/0.70 (define @t110 () (forall @t107 @t109)) % 0.36/0.70 (define @t111 () (forall @t98 @t109)) % 0.36/0.70 (define @t112 () (forall @t98 @t108)) % 0.36/0.70 (define @t113 () (@var "BOUND_VARIABLE_10964" $$unsorted)) % 0.36/0.70 (define @t114 () (or @t101 @t112)) % 0.36/0.70 (define @t115 () (tptp.memberP @t2 @t113)) % 0.36/0.70 (define @t116 () (not (tptp.memberP @t1 @t113))) % 0.36/0.70 (define @t117 () (not (tptp.ssItem @t113))) % 0.36/0.70 (define @t118 () (tptp.app @t1 @t1)) % 0.36/0.70 (define @t119 () (not (= @t2 @t118))) % 0.36/0.70 (define @t120 () (not @t21)) % 0.36/0.70 (define @t121 () (or @t120 @t119 @t117 @t116 @t115)) % 0.36/0.70 (define @t122 () (@list @t1 @t113)) % 0.36/0.70 (define @t123 () (or @t101 (forall @t122 @t121))) % 0.36/0.70 (define @t124 () (or @t117 @t116 @t115)) % 0.36/0.70 (define @t125 () (or @t120 @t124 @t119)) % 0.36/0.70 (define @t126 () (forall @t122 @t125)) % 0.36/0.70 (define @t127 () (@list @t113)) % 0.36/0.70 (define @t128 () (forall @t127 @t125)) % 0.36/0.70 (define @t129 () (forall @t127 @t124)) % 0.36/0.70 (define @t130 () (or @t120 @t129 @t119)) % 0.36/0.70 (define @t131 () (not @t71)) % 0.36/0.70 (define @t132 () (or @t131 @t69 @t68)) % 0.36/0.70 (define @t133 () (forall @t33 @t132)) % 0.36/0.70 (define @t134 () (or @t120 @t133 @t119)) % 0.36/0.70 (define @t135 () (forall @t7 @t134)) % 0.36/0.70 (define @t136 () (or @t101 @t135)) % 0.36/0.70 (define @t137 () (or @t101 @t134)) % 0.36/0.70 (define @t138 () (or @t120 @t133 @t101 @t119)) % 0.36/0.70 (define @t139 () (or @t133 @t120 @t101 @t119)) % 0.36/0.70 (define @t140 () (or @t101 @t119)) % 0.36/0.70 (define @t141 () (not (= @t2 @t2))) % 0.36/0.70 (define @t142 () (or @t101 @t141 @t119)) % 0.36/0.70 (define @t143 () (not (= @t12 @t118))) % 0.36/0.70 (define @t144 () (not @t15)) % 0.36/0.70 (define @t145 () (or @t73 @t144 @t73 @t143)) % 0.36/0.70 (define @t146 () (or @t144 @t73 @t143)) % 0.36/0.70 (define @t147 () (forall @t16 @t146)) % 0.36/0.70 (define @t148 () (or @t133 @t120 @t147)) % 0.36/0.70 (define @t149 () (or @t133 @t120 @t146)) % 0.36/0.70 (define @t150 () (or @t144 @t73 @t133 @t120 @t143)) % 0.36/0.70 (define @t151 () (or @t73 @t133 @t120 @t143)) % 0.36/0.70 (define @t152 () (or @t120 @t143)) % 0.36/0.70 (define @t153 () (not (= @t1 @t1))) % 0.36/0.70 (define @t154 () (or @t120 @t143 @t153)) % 0.36/0.70 (define @t155 () (not (= @t12 @t75))) % 0.36/0.70 (define @t156 () (not @t13)) % 0.36/0.70 (define @t157 () (or @t74 @t156 @t155 @t74)) % 0.36/0.70 (define @t158 () (or @t156 @t155 @t74)) % 0.36/0.70 (define @t159 () (forall @t14 @t158)) % 0.36/0.70 (define @t160 () (or @t73 @t133 @t159)) % 0.36/0.70 (define @t161 () (or @t73 @t133 @t158)) % 0.36/0.70 (define @t162 () (or @t156 @t155 @t74 @t73 @t133)) % 0.36/0.70 (define @t163 () (or @t155 @t74 @t73 @t133)) % 0.36/0.70 (define @t164 () (forall @t98 @t95)) % 0.36/0.70 (define @t165 () (@quantifiers_skolemize @t164 0)) % 0.36/0.70 (define @t166 () (tptp.ssList @t165)) % 0.36/0.70 (define @t167 () (@quantifiers_skolemize @t164 1)) % 0.36/0.70 (define @t168 () (tptp.app @t165 @t165)) % 0.36/0.70 (define @t169 () (tptp.memberP @t168 @t167)) % 0.36/0.70 (define @t170 () (tptp.memberP @t165 @t167)) % 0.36/0.70 (define @t171 () (not @t170)) % 0.36/0.70 (define @t172 () (tptp.ssItem @t167)) % 0.36/0.70 (define @t173 () (not @t172)) % 0.36/0.70 (define @t174 () (not @t166)) % 0.36/0.70 (define @t175 () (or (not (tptp.ssList @t168)) @t174 @t173 @t171 @t169)) % 0.36/0.70 (define @t176 () (@list true)) % 0.36/0.70 (define @t177 () (@list @t175)) % 0.36/0.70 (define @t178 () (= @t170 @t169)) % 0.36/0.70 (define @t179 () (not @t178)) % 0.36/0.70 (define @t180 () (@var "BOUND_VARIABLE_9650" $$unsorted)) % 0.36/0.70 (define @t181 () (@var "BOUND_VARIABLE_9648" $$unsorted)) % 0.36/0.70 (define @t182 () (= (tptp.memberP (tptp.app @t181 @t180) @t2) (or (tptp.memberP @t181 @t2) (tptp.memberP @t180 @t2)))) % 0.36/0.70 (define @t183 () (not (tptp.ssList @t180))) % 0.36/0.70 (define @t184 () (not (tptp.ssList @t181))) % 0.36/0.70 (define @t185 () (not @t8)) % 0.36/0.70 (define @t186 () (or @t185 @t184 @t183 @t182)) % 0.36/0.70 (define @t187 () (or @t184 @t183 @t182)) % 0.36/0.70 (define @t188 () (or @t185 @t187)) % 0.36/0.70 (define @t189 () (@list @t2 @t181 @t180)) % 0.36/0.70 (define @t190 () (forall @t189 @t188)) % 0.36/0.70 (define @t191 () (@list @t181 @t180)) % 0.36/0.70 (define @t192 () (forall @t191 @t188)) % 0.36/0.70 (define @t193 () (forall @t191 @t187)) % 0.36/0.70 (define @t194 () (@var "BOUND_VARIABLE_9629" $$unsorted)) % 0.36/0.70 (define @t195 () (or @t185 @t193)) % 0.36/0.70 (define @t196 () (= (tptp.memberP (tptp.app @t1 @t194) @t2) (or @t54 (tptp.memberP @t194 @t2)))) % 0.36/0.70 (define @t197 () (not (tptp.ssList @t194))) % 0.36/0.70 (define @t198 () (or @t120 @t197 @t196)) % 0.36/0.70 (define @t199 () (@list @t1 @t194)) % 0.36/0.70 (define @t200 () (forall @t199 @t198)) % 0.36/0.70 (define @t201 () (or @t197 @t196)) % 0.36/0.70 (define @t202 () (or @t120 @t201)) % 0.36/0.70 (define @t203 () (forall @t199 @t202)) % 0.36/0.70 (define @t204 () (@list @t194)) % 0.36/0.70 (define @t205 () (forall @t204 @t202)) % 0.36/0.70 (define @t206 () (forall @t204 @t201)) % 0.36/0.70 (define @t207 () (or @t120 @t206)) % 0.36/0.70 (define @t208 () (forall @t16 (or @t144 @t55))) % 0.36/0.70 (define @t209 () (or @t170 @t170)) % 0.36/0.70 (define @t210 () (= @t169 @t209)) % 0.36/0.70 (define @t211 () (or @t173 @t174 @t174 @t210)) % 0.36/0.70 (define @t212 () (forall @t189 @t186)) % 0.36/0.70 (define @t213 () (or @t173 @t174 @t174 @t178)) % 0.36/0.70 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.36/0.70 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.36/0.70 (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))))))))))) % 0.36/0.71 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.36/0.71 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.36/0.71 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.36/0.71 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.36/0.71 (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))))))))))))))))) % 0.36/0.71 (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)))))))))))))))) % 0.36/0.71 (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))))))))))))))))) % 0.36/0.71 (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))))))))))))))) % 0.36/0.71 (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))))))))))))))) % 0.36/0.71 (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)))))))))))))))) % 0.36/0.71 (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))))))))))))) % 0.36/0.71 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.36/0.71 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.36/0.71 (assume @p17 (tptp.ssList tptp.nil)) % 0.36/0.71 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.36/0.71 (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))))))))))) % 0.36/0.71 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.36/0.71 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.36/0.71 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.36/0.71 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.36/0.71 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.36/0.71 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.36/0.71 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.36/0.71 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.36/0.71 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.36/0.71 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.36/0.71 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.36/0.71 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.36/0.71 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.36/0.71 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.36/0.71 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.36/0.71 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.36/0.71 (assume @p36 @t60) % 0.36/0.71 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.36/0.71 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.36/0.71 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.36/0.71 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.36/0.71 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.36/0.71 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.36/0.71 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.36/0.71 (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)))))))))))) % 0.36/0.71 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.36/0.71 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.36/0.71 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.36/0.71 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.36/0.71 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.36/0.71 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t61 @t1))))))))) % 0.36/0.71 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.36/0.71 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.36/0.71 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.36/0.71 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.36/0.71 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.36/0.71 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t61 @t10) @t1))))))))))) % 0.36/0.71 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.36/0.71 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.36/0.71 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t62)))) % 0.36/0.71 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.36/0.71 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t62)))) % 0.36/0.71 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.36/0.71 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t62)))) % 0.36/0.71 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.36/0.71 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t62)))) % 0.36/0.71 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.36/0.71 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t66) (or @t64 (and @t65 (tptp.totalorderedP @t1) (tptp.leq @t2 @t63))))))))) % 0.36/0.71 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t62)))) % 0.36/0.71 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.36/0.71 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t66) (or @t64 (and @t65 (tptp.strictorderedP @t1) (tptp.lt @t2 @t63))))))))) % 0.36/0.71 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t62)))) % 0.36/0.71 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.36/0.71 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t62)))) % 0.36/0.71 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.36/0.71 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.36/0.71 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.36/0.71 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t65 @t42 (= @t63 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.36/0.71 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.36/0.71 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t67)))))))) % 0.36/0.71 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t67)))))))) % 0.36/0.71 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.36/0.71 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.36/0.71 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t64 @t40))))))) % 0.36/0.71 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.36/0.71 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.36/0.71 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.36/0.71 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.36/0.71 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.36/0.71 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.36/0.71 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.36/0.71 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.36/0.71 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.36/0.71 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.36/0.71 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.36/0.71 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.36/0.71 (assume @p96 @t86) % 0.36/0.71 (assume @p97 true) % 0.36/0.71 (step @p98 :rule aci_norm :args ((= (or @t94 @t93 false @t92 @t91 @t90) @t95))) % 0.36/0.71 (step @p99 :rule refl :args (@t90)) % 0.36/0.71 (step @p100 :rule refl :args (@t91)) % 0.36/0.71 (step @p101 :rule refl :args (@t92)) % 0.36/0.71 (step @p102 :rule evaluate :args ((not true))) % 0.36/0.71 (step @p103 :rule eq-refl :args (@t89)) % 0.36/0.71 (step @p104 :rule cong :premises (@p103) :args (@t96)) % 0.36/0.71 (step @p105 :rule trans :premises (@p104 @p102)) % 0.36/0.71 (step @p106 :rule refl :args (@t93)) % 0.36/0.71 (step @p107 :rule refl :args (@t94)) % 0.36/0.71 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p101 @p100 @p99) :args (@t97)) % 0.36/0.71 (step @p109 :rule trans :premises (@p108 @p98)) % 0.36/0.71 (step @p110 :rule cong :premises (@p109) :args ((forall @t98 @t97))) % 0.36/0.71 (step @p111 :rule quant-var-elim-eq :args ((= (forall @t9 @t102) @t97))) % 0.36/0.71 (step @p112 :rule aci_norm :args ((= @t103 @t102))) % 0.36/0.71 (step @p113 :rule cong :premises (@p112) :args (@t104)) % 0.36/0.71 (step @p114 :rule trans :premises (@p113 @p111)) % 0.36/0.71 (step @p115 :rule cong :premises (@p114) :args (@t105)) % 0.36/0.71 (step @p116 :rule quant-merge-prenex :args ((= @t105 @t106))) % 0.36/0.71 (step @p117 :rule symm :premises (@p116)) % 0.36/0.71 (step @p118 :rule quant_var_reordering :args ((= (forall @t107 @t103) @t106))) % 0.36/0.71 (step @p119 :rule trans :premises (@p118 @p117 @p115)) % 0.36/0.71 (step @p120 :rule trans :premises (@p119 @p110)) % 0.36/0.71 (step @p121 :rule aci_norm :args ((= @t109 @t103))) % 0.36/0.71 (step @p122 :rule cong :premises (@p121) :args (@t110)) % 0.36/0.71 (step @p123 :rule trans :premises (@p122 @p120)) % 0.36/0.71 (step @p124 :rule quant-merge-prenex :args ((= (forall @t9 @t111) @t110))) % 0.36/0.71 (step @p125 :rule alpha_equiv :args (@t112 (@list @t88 @t87) (@list @t1 @t113))) % 0.36/0.71 (step @p126 :rule refl :args (@t101)) % 0.36/0.71 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t114)) % 0.36/0.71 (step @p128 :rule quant-miniscope-or :args ((= @t111 @t114))) % 0.36/0.71 (step @p129 :rule trans :premises (@p128 @p127)) % 0.36/0.71 (step @p130 :rule symm :premises (@p129)) % 0.36/0.71 (step @p131 :rule cong :premises (@p130) :args ((forall @t9 @t123))) % 0.36/0.71 (step @p132 :rule trans :premises (@p131 @p124)) % 0.36/0.71 (step @p133 :rule trans :premises (@p132 @p123)) % 0.36/0.71 (step @p134 :rule aci_norm :args ((= (or @t101 @t123) @t123))) % 0.36/0.71 (step @p135 :rule bool-impl-elim :args (@t17 @t123)) % 0.36/0.71 (step @p136 :rule trans :premises (@p135 @p134)) % 0.36/0.71 (step @p137 :rule cong :premises (@p136) :args ((forall @t9 (=> @t17 @t123)))) % 0.36/0.71 (step @p138 :rule trans :premises (@p137 @p133)) % 0.36/0.71 (step @p139 :rule aci_norm :args ((= @t125 @t121))) % 0.36/0.71 (step @p140 :rule cong :premises (@p139) :args (@t126)) % 0.36/0.71 (step @p141 :rule quant-merge-prenex :args ((= (forall @t7 @t128) @t126))) % 0.36/0.71 (step @p142 :rule refl :args (@t119)) % 0.36/0.71 (step @p143 :rule alpha_equiv :args (@t129 (@list @t113) (@list @t28))) % 0.36/0.71 (step @p144 :rule refl :args (@t120)) % 0.36/0.71 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142) :args (@t130)) % 0.36/0.71 (step @p146 :rule quant-miniscope-or :args ((= @t128 @t130))) % 0.36/0.71 (step @p147 :rule trans :premises (@p146 @p145)) % 0.36/0.71 (step @p148 :rule symm :premises (@p147)) % 0.36/0.71 (step @p149 :rule cong :premises (@p148) :args (@t135)) % 0.36/0.71 (step @p150 :rule trans :premises (@p149 @p141)) % 0.36/0.71 (step @p151 :rule trans :premises (@p150 @p140)) % 0.36/0.71 (step @p152 :rule refl :args (@t101)) % 0.36/0.71 (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t136)) % 0.36/0.71 (step @p154 :rule quant-miniscope-or :args ((= (forall @t7 @t137) @t136))) % 0.36/0.71 (step @p155 :rule aci_norm :args ((= @t138 @t137))) % 0.36/0.71 (step @p156 :rule cong :premises (@p155) :args ((forall @t7 @t138))) % 0.36/0.71 (step @p157 :rule trans :premises (@p156 @p154)) % 0.36/0.71 (step @p158 :rule trans :premises (@p157 @p153)) % 0.36/0.71 (step @p159 :rule aci_norm :args ((= (or @t120 @t139) @t138))) % 0.36/0.71 (step @p160 :rule bool-impl-elim :args (@t21 @t139)) % 0.36/0.71 (step @p161 :rule trans :premises (@p160 @p159)) % 0.36/0.71 (step @p162 :rule cong :premises (@p161) :args ((forall @t7 (=> @t21 @t139)))) % 0.36/0.71 (step @p163 :rule trans :premises (@p162 @p158)) % 0.36/0.71 (step @p164 :rule aci_norm :args ((= (or @t133 @t120 @t140) @t139))) % 0.36/0.71 (step @p165 :rule aci_norm :args ((= (or @t101 false @t119) @t140))) % 0.36/0.71 (step @p166 :rule refl :args (@t119)) % 0.36/0.71 (step @p167 :rule eq-refl :args (@t2)) % 0.36/0.71 (step @p168 :rule cong :premises (@p167) :args (@t141)) % 0.36/0.71 (step @p169 :rule trans :premises (@p168 @p102)) % 0.36/0.71 (step @p170 :rule nary_cong :premises (@p152 @p169 @p166) :args (@t142)) % 0.36/0.71 (step @p171 :rule trans :premises (@p170 @p165)) % 0.36/0.71 (step @p172 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t67) @t144 @t73 @t143)) @t142))) % 0.36/0.71 (step @p173 :rule refl :args (@t143)) % 0.36/0.71 (step @p174 :rule refl :args (@t73)) % 0.36/0.71 (step @p175 :rule refl :args (@t144)) % 0.36/0.71 (step @p176 :rule eq-symm :args (@t2 @t12)) % 0.36/0.71 (step @p177 :rule cong :premises (@p176) :args (@t73)) % 0.36/0.71 (step @p178 :rule nary_cong :premises (@p177 @p175 @p174 @p173) :args (@t145)) % 0.36/0.71 (step @p179 :rule aci_norm :args ((= @t146 @t145))) % 0.36/0.71 (step @p180 :rule trans :premises (@p179 @p178)) % 0.36/0.71 (step @p181 :rule cong :premises (@p180) :args (@t147)) % 0.36/0.71 (step @p182 :rule trans :premises (@p181 @p172)) % 0.36/0.71 (step @p183 :rule trans :premises (@p182 @p171)) % 0.36/0.71 (step @p184 :rule refl :args (@t120)) % 0.36/0.71 (step @p185 :rule refl :args (@t133)) % 0.36/0.71 (step @p186 :rule nary_cong :premises (@p185 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:args (@t159)) % 0.36/0.71 (step @p216 :rule trans :premises (@p215 @p206)) % 0.36/0.71 (step @p217 :rule trans :premises (@p216 @p205)) % 0.36/0.71 (step @p218 :rule refl :args (@t73)) % 0.36/0.71 (step @p219 :rule nary_cong :premises (@p218 @p185 @p217) :args (@t160)) % 0.36/0.71 (step @p220 :rule trans :premises (@p219 @p198)) % 0.36/0.71 (step @p221 :rule quant-miniscope-or :args ((= (forall @t14 @t161) @t160))) % 0.36/0.71 (step @p222 :rule aci_norm :args ((= @t162 @t161))) % 0.36/0.71 (step @p223 :rule cong :premises (@p222) :args ((forall @t14 @t162))) % 0.36/0.71 (step @p224 :rule trans :premises (@p223 @p221)) % 0.36/0.71 (step @p225 :rule trans :premises (@p224 @p220)) % 0.36/0.71 (step @p226 :rule aci_norm :args ((= (or @t156 @t163) @t162))) % 0.36/0.71 (step @p227 :rule bool-impl-elim :args (@t13 @t163)) % 0.36/0.71 (step @p228 :rule trans :premises (@p227 @p226)) % 0.36/0.71 (step @p229 :rule cong :premises (@p228) :args ((forall @t14 (=> @t13 @t163)))) % 0.36/0.71 (step 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:args (@t81)) % 0.36/0.71 (step @p246 :rule trans :premises (@p245 @p197)) % 0.36/0.71 (step @p247 :rule refl :args (@t21)) % 0.36/0.71 (step @p248 :rule cong :premises (@p247 @p246) :args (@t82)) % 0.36/0.71 (step @p249 :rule cong :premises (@p248) :args (@t83)) % 0.36/0.71 (step @p250 :rule trans :premises (@p249 @p163)) % 0.36/0.71 (step @p251 :rule refl :args (@t17)) % 0.36/0.71 (step @p252 :rule cong :premises (@p251 @p250) :args (@t84)) % 0.36/0.71 (step @p253 :rule cong :premises (@p252) :args (@t85)) % 0.36/0.71 (step @p254 :rule trans :premises (@p253 @p138)) % 0.36/0.71 (step @p255 :rule cong :premises (@p254) :args (@t86)) % 0.36/0.71 (step @p256 :rule eq_resolve :premises (@p96 @p255)) % 0.36/0.71 (step @p257 :rule skolemize :premises (@p256)) % 0.36/0.71 (step @p258 :rule bool-double-not-elim :args (@t166)) % 0.36/0.71 (step @p259 :rule refl :args (@t175)) % 0.36/0.71 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or @t175 (not @t174)))) % 0.36/0.71 (step @p261 :rule cnf_or_neg :args (@t175 1)) % 0.36/0.71 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 0.36/0.71 (step @p263 :rule reordering :premises (@p262) :args ((or @t166 @t175))) % 0.36/0.71 (step @p264 :rule chain_m_resolution :premises (@p263 @p257) :args (@t166 @t176 @t177)) % 0.36/0.71 (step @p265 :rule bool-double-not-elim :args (@t172)) % 0.36/0.71 (step @p266 :rule nary_cong :premises (@p259 @p265) :args ((or @t175 (not @t173)))) % 0.36/0.71 (step @p267 :rule cnf_or_neg :args (@t175 2)) % 0.36/0.71 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 0.36/0.71 (step @p269 :rule reordering :premises (@p268) :args ((or @t172 @t175))) % 0.36/0.71 (step @p270 :rule chain_m_resolution :premises (@p269 @p257) :args (@t172 @t176 @t177)) % 0.36/0.71 (step @p271 :rule cnf_or_neg :args (@t175 4)) % 0.36/0.71 (step @p272 :rule chain_m_resolution :premises (@p271 @p257) :args ((not @t169) @t176 @t177)) % 0.36/0.71 (step @p273 :rule bool-double-not-elim :args (@t170)) % 0.36/0.71 (step @p274 :rule nary_cong :premises (@p259 @p273) :args ((or @t175 (not @t171)))) % 0.36/0.71 (step @p275 :rule cnf_or_neg :args (@t175 3)) % 0.36/0.71 (step @p276 :rule eq_resolve :premises (@p275 @p274)) % 0.36/0.71 (step @p277 :rule reordering :premises (@p276) :args ((or @t170 @t175))) % 0.36/0.71 (step @p278 :rule chain_m_resolution :premises (@p277 @p257) :args (@t170 @t176 @t177)) % 0.36/0.71 (step @p279 :rule cnf_equiv_pos1 :args (@t178)) % 0.36/0.71 (step @p280 :rule reordering :premises (@p279) :args ((or @t171 @t169 @t179))) % 0.36/0.71 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p272) :args (@t179 (@list false true) (@list @t170 @t169))) % 0.36/0.71 (step @p282 :rule aci_norm :args ((= @t188 @t186))) % 0.36/0.71 (step @p283 :rule cong :premises (@p282) :args (@t190)) % 0.36/0.71 (step @p284 :rule quant-merge-prenex :args ((= (forall @t9 @t192) @t190))) % 0.36/0.71 (step @p285 :rule alpha_equiv :args (@t193 (@list @t181 @t180) (@list @t1 @t194))) % 0.36/0.71 (step @p286 :rule refl :args (@t185)) % 0.36/0.71 (step @p287 :rule nary_cong :premises (@p286 @p285) :args (@t195)) % 0.36/0.71 (step @p288 :rule quant-miniscope-or :args ((= @t192 @t195))) % 0.36/0.71 (step @p289 :rule trans :premises (@p288 @p287)) % 0.36/0.71 (step @p290 :rule symm :premises (@p289)) % 0.36/0.71 (step @p291 :rule cong :premises (@p290) :args ((forall @t9 (or @t185 @t200)))) % 0.36/0.71 (step @p292 :rule trans :premises (@p291 @p284)) % 0.36/0.71 (step @p293 :rule trans :premises (@p292 @p283)) % 0.36/0.71 (step @p294 :rule bool-impl-elim :args (@t8 @t200)) % 0.36/0.71 (step @p295 :rule cong :premises (@p294) :args ((forall @t9 (=> @t8 @t200)))) % 0.36/0.71 (step @p296 :rule trans :premises (@p295 @p293)) % 0.36/0.71 (step @p297 :rule aci_norm :args ((= @t202 @t198))) % 0.36/0.71 (step @p298 :rule cong :premises (@p297) :args (@t203)) % 0.36/0.71 (step @p299 :rule quant-merge-prenex :args ((= (forall @t7 @t205) @t203))) % 0.36/0.71 (step @p300 :rule alpha_equiv :args (@t206 (@list @t194) (@list @t12))) % 0.36/0.71 (step @p301 :rule nary_cong :premises (@p144 @p300) :args (@t207)) % 0.36/0.71 (step @p302 :rule quant-miniscope-or :args ((= @t205 @t207))) % 0.36/0.71 (step @p303 :rule trans :premises (@p302 @p301)) % 0.36/0.71 (step @p304 :rule symm :premises (@p303)) % 0.36/0.71 (step @p305 :rule cong :premises (@p304) :args ((forall @t7 (or @t120 @t208)))) % 0.36/0.71 (step @p306 :rule trans :premises (@p305 @p299)) % 0.36/0.71 (step @p307 :rule trans :premises (@p306 @p298)) % 0.36/0.71 (step @p308 :rule bool-impl-elim :args (@t21 @t208)) % 0.36/0.71 (step @p309 :rule cong :premises (@p308) :args ((forall @t7 (=> @t21 @t208)))) % 0.36/0.71 (step @p310 :rule trans :premises (@p309 @p307)) % 0.36/0.71 (step @p311 :rule bool-impl-elim :args (@t15 @t55)) % 0.36/0.71 (step @p312 :rule cong :premises (@p311) :args (@t56)) % 0.36/0.71 (step @p313 :rule cong :premises (@p247 @p312) :args (@t57)) % 0.36/0.71 (step @p314 :rule cong :premises (@p313) :args (@t58)) % 0.36/0.71 (step @p315 :rule trans :premises (@p314 @p310)) % 0.36/0.71 (step @p316 :rule refl :args (@t8)) % 0.36/0.71 (step @p317 :rule cong :premises (@p316 @p315) :args (@t59)) % 0.36/0.71 (step @p318 :rule cong :premises (@p317) :args (@t60)) % 0.36/0.71 (step @p319 :rule trans :premises (@p318 @p296)) % 0.36/0.71 (step @p320 :rule eq_resolve :premises (@p36 @p319)) % 0.36/0.71 (step @p321 :rule eq-symm :args (@t169 @t170)) % 0.36/0.71 (step @p322 :rule aci_norm :args ((= @t209 @t170))) % 0.36/0.71 (step @p323 :rule refl :args (@t169)) % 0.36/0.71 (step @p324 :rule cong :premises (@p323 @p322) :args (@t210)) % 0.36/0.71 (step @p325 :rule trans :premises (@p324 @p321)) % 0.36/0.71 (step @p326 :rule refl :args (@t174)) % 0.36/0.71 (step @p327 :rule refl :args (@t173)) % 0.36/0.71 (step @p328 :rule nary_cong :premises (@p327 @p326 @p326 @p325) :args (@t211)) % 0.36/0.71 (step @p329 :rule refl :args (@t212)) % 0.36/0.71 (step @p330 :rule cong :premises (@p329 @p328) :args ((=> @t212 @t211))) % 0.36/0.71 (assume-push @p342 @t212) % 0.36/0.71 (step @p332 :rule instantiate :premises (@p320) :args ((@list @t167 @t165 @t165))) % 0.36/0.71 (step-pop @p343 :rule scope :premises (@p332)) % 0.36/0.71 (step @p333 :rule process_scope :premises (@p343) :args (@t211)) % 0.36/0.71 (step @p335 :rule eq_resolve :premises (@p333 @p330)) % 0.36/0.71 (step @p336 :rule implies_elim :premises (@p335)) % 0.36/0.71 (step @p337 :rule chain_m_resolution :premises (@p336 @p320) :args (@t213 (@list false) (@list @t212))) % 0.36/0.71 (step @p338 :rule cnf_or_pos :args (@t213)) % 0.36/0.71 (step @p339 :rule factoring :premises (@p338)) % 0.36/0.71 (step @p340 :rule reordering :premises (@p339) :args ((or @t174 @t173 @t178 (not @t213)))) % 0.36/0.71 (step @p341 false :rule chain_m_resolution :premises (@p340 @p337 @p281 @p270 @p264) :args (false (@list false true false false) (@list @t213 @t178 @t172 @t166))) % 0.36/0.71 ) % 0.36/0.71 % SZS output end Proof % 0.36/0.71 % cvc5 exiting %------------------------------------------------------------------------------