%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE098+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:28:18 AM UTC 2026 % Result : Theorem 25.61s 25.87s % Output : Proof 25.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE098+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 05:13:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 25.61/25.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 25.61/25.87 --- Run --no-e-matching --full-saturate-quant at 6... % 25.61/25.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 25.61/25.87 % SZS status Theorem % 25.61/25.87 % SZS output start Proof % 25.61/25.87 ( % 25.61/25.87 (declare-sort $$unsorted 0) % 25.61/25.87 (declare-const tptp.backward_box (-> $$unsorted $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.forward_box (-> $$unsorted $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.backward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.zero $$unsorted) % 25.61/25.87 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 25.61/25.87 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.one $$unsorted) % 25.61/25.87 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.domain_difference (-> $$unsorted $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 25.61/25.87 (declare-const tptp.forward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 25.61/25.87 (define @t1 () (@var "A" $$unsorted)) % 25.61/25.87 (define @t2 () (@var "B" $$unsorted)) % 25.61/25.87 (define @t3 () (tptp.addition @t1 @t2)) % 25.61/25.87 (define @t4 () (@list @t1 @t2)) % 25.61/25.87 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 25.61/25.87 (define @t6 () (@var "C" $$unsorted)) % 25.61/25.87 (define @t7 () (tptp.addition @t2 @t6)) % 25.61/25.87 (define @t8 () (tptp.addition @t1 tptp.zero)) % 25.61/25.87 (define @t9 () (@list @t1)) % 25.61/25.87 (define @t10 () (forall @t9 (= @t8 @t1))) % 25.61/25.87 (define @t11 () (tptp.addition @t1 @t1)) % 25.61/25.87 (define @t12 () (forall @t9 (= @t11 @t1))) % 25.61/25.87 (define @t13 () (tptp.multiplication @t1 @t2)) % 25.61/25.87 (define @t14 () (tptp.multiplication @t2 @t6)) % 25.61/25.87 (define @t15 () (@list @t1 @t2 @t6)) % 25.61/25.87 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 25.61/25.87 (define @t17 () (forall @t9 (= @t16 @t1))) % 25.61/25.87 (define @t18 () (tptp.multiplication tptp.one @t1)) % 25.61/25.87 (define @t19 () (forall @t9 (= @t18 @t1))) % 25.61/25.87 (define @t20 () (tptp.multiplication @t1 @t6)) % 25.61/25.87 (define @t21 () (tptp.multiplication tptp.zero @t1)) % 25.61/25.87 (define @t22 () (forall @t9 (= @t21 tptp.zero))) % 25.61/25.87 (define @t23 () (@var "X0" $$unsorted)) % 25.61/25.87 (define @t24 () (tptp.antidomain @t23)) % 25.61/25.87 (define @t25 () (tptp.multiplication @t24 @t23)) % 25.61/25.87 (define @t26 () (@list @t23)) % 25.61/25.87 (define @t27 () (forall @t26 (= @t25 tptp.zero))) % 25.61/25.87 (define @t28 () (@var "X1" $$unsorted)) % 25.61/25.87 (define @t29 () (tptp.antidomain @t28)) % 25.61/25.87 (define @t30 () (tptp.antidomain (tptp.multiplication @t23 (tptp.antidomain @t29)))) % 25.61/25.87 (define @t31 () (tptp.multiplication @t23 @t28)) % 25.61/25.87 (define @t32 () (@list @t23 @t28)) % 25.61/25.87 (define @t33 () (tptp.antidomain @t24)) % 25.61/25.87 (define @t34 () (tptp.addition @t33 @t24)) % 25.61/25.87 (define @t35 () (forall @t26 (= @t34 tptp.one))) % 25.61/25.87 (define @t36 () (tptp.domain @t23)) % 25.61/25.87 (define @t37 () (forall @t26 (= @t36 @t33))) % 25.61/25.87 (define @t38 () (tptp.coantidomain @t23)) % 25.61/25.87 (define @t39 () (tptp.coantidomain @t38)) % 25.61/25.87 (define @t40 () (tptp.coantidomain (tptp.multiplication @t39 @t28))) % 25.61/25.87 (define @t41 () (tptp.domain @t28)) % 25.61/25.87 (define @t42 () (tptp.multiplication @t23 @t41)) % 25.61/25.87 (define @t43 () (tptp.c @t28)) % 25.61/25.87 (define @t44 () (@var "X2" $$unsorted)) % 25.61/25.87 (define @t45 () (tptp.domain @t44)) % 25.61/25.87 (define @t46 () (tptp.multiplication @t45 @t23)) % 25.61/25.87 (define @t47 () (tptp.addition @t42 @t46)) % 25.61/25.87 (define @t48 () (tptp.addition (tptp.forward_diamond @t23 @t41) @t45)) % 25.61/25.87 (define @t49 () (=> (= @t48 @t45) (= @t47 @t46))) % 25.61/25.87 (define @t50 () (@list @t23 @t28 @t44)) % 25.61/25.87 (define @t51 () (forall @t50 @t49)) % 25.61/25.87 (define @t52 () (not @t51)) % 25.61/25.87 (define @t53 () (= @t45 @t48)) % 25.61/25.87 (define @t54 () (= @t46 @t47)) % 25.61/25.87 (define @t55 () (forall @t50 (or (not @t53) @t54))) % 25.61/25.87 (define @t56 () (@quantifiers_skolemize @t55 2)) % 25.61/25.87 (define @t57 () (tptp.domain @t56)) % 25.61/25.87 (define @t58 () (@quantifiers_skolemize @t55 1)) % 25.61/25.87 (define @t59 () (tptp.domain @t58)) % 25.61/25.87 (define @t60 () (@quantifiers_skolemize @t55 0)) % 25.61/25.87 (define @t61 () (tptp.forward_diamond @t60 @t59)) % 25.61/25.87 (define @t62 () (tptp.addition @t61 @t57)) % 25.61/25.87 (define @t63 () (= @t57 @t62)) % 25.61/25.87 (define @t64 () (tptp.multiplication @t57 @t60)) % 25.61/25.87 (define @t65 () (tptp.multiplication @t60 @t59)) % 25.61/25.87 (define @t66 () (= @t64 (tptp.addition @t65 @t64))) % 25.61/25.87 (define @t67 () (not @t63)) % 25.61/25.87 (define @t68 () (or @t67 @t66)) % 25.61/25.87 (define @t69 () (@list true)) % 25.61/25.87 (define @t70 () (@list @t68)) % 25.61/25.87 (define @t71 () (@list tptp.one)) % 25.61/25.87 (define @t72 () (tptp.antidomain tptp.one)) % 25.61/25.87 (define @t73 () (tptp.antidomain @t72)) % 25.61/25.87 (define @t74 () (tptp.antidomain @t58)) % 25.61/25.87 (define @t75 () (tptp.antidomain @t74)) % 25.61/25.87 (define @t76 () (forall @t26 (= @t33 @t36))) % 25.61/25.87 (define @t77 () (= @t75 @t59)) % 25.61/25.87 (define @t78 () (@list @t58)) % 25.61/25.87 (define @t79 () (= @t59 @t75)) % 25.61/25.87 (define @t80 () (@list false)) % 25.61/25.87 (define @t81 () (@list @t76)) % 25.61/25.87 (define @t82 () (tptp.antidomain @t56)) % 25.61/25.87 (define @t83 () (tptp.antidomain @t82)) % 25.61/25.87 (define @t84 () (= @t83 @t57)) % 25.61/25.87 (define @t85 () (@list @t56)) % 25.61/25.87 (define @t86 () (= @t57 @t83)) % 25.61/25.87 (define @t87 () (tptp.multiplication tptp.one @t59)) % 25.61/25.87 (define @t88 () (@list @t87)) % 25.61/25.87 (define @t89 () (tptp.multiplication tptp.one @t57)) % 25.61/25.87 (define @t90 () (@list @t65)) % 25.61/25.87 (define @t91 () (tptp.antidomain @t87)) % 25.61/25.87 (define @t92 () (tptp.antidomain @t91)) % 25.61/25.87 (define @t93 () (tptp.domain @t87)) % 25.61/25.87 (define @t94 () (= @t92 @t93)) % 25.61/25.87 (define @t95 () (= @t93 @t92)) % 25.61/25.87 (define @t96 () (tptp.multiplication tptp.one @t93)) % 25.61/25.87 (define @t97 () (tptp.c @t58)) % 25.61/25.87 (define @t98 () (tptp.antidomain @t65)) % 25.61/25.87 (define @t99 () (tptp.antidomain @t98)) % 25.61/25.87 (define @t100 () (tptp.multiplication @t99 @t65)) % 25.61/25.87 (define @t101 () (tptp.addition @t87 @t97)) % 25.61/25.87 (define @t102 () (tptp.addition @t97 @t87)) % 25.61/25.87 (define @t103 () (= @t101 @t102)) % 25.61/25.87 (define @t104 () (= @t102 @t101)) % 25.61/25.87 (define @t105 () (tptp.multiplication @t60 @t87)) % 25.61/25.87 (define @t106 () (tptp.multiplication @t60 tptp.one)) % 25.61/25.87 (define @t107 () (tptp.multiplication @t72 tptp.one)) % 25.61/25.87 (define @t108 () (= tptp.zero @t107)) % 25.61/25.87 (define @t109 () (= tptp.one (tptp.addition @t73 @t72))) % 25.61/25.87 (define @t110 () (tptp.domain tptp.one)) % 25.61/25.87 (define @t111 () (= @t73 @t110)) % 25.61/25.87 (define @t112 () (= @t72 @t107)) % 25.61/25.87 (define @t113 () (tptp.addition @t73 tptp.zero)) % 25.61/25.87 (define @t114 () (= @t73 @t113)) % 25.61/25.87 (define @t115 () (= @t60 @t106)) % 25.61/25.87 (define @t116 () (tptp.addition @t75 @t74)) % 25.61/25.87 (define @t117 () (= tptp.one @t116)) % 25.61/25.87 (define @t118 () (tptp.antidomain @t59)) % 25.61/25.87 (define @t119 () (= @t97 @t118)) % 25.61/25.87 (define @t120 () (= @t75 (tptp.multiplication tptp.one @t75))) % 25.61/25.87 (define @t121 () (tptp.addition @t83 @t82)) % 25.61/25.87 (define @t122 () (= tptp.one @t121)) % 25.61/25.87 (define @t123 () (= @t83 (tptp.multiplication tptp.one @t83))) % 25.61/25.87 (define @t124 () (tptp.multiplication tptp.zero @t87)) % 25.61/25.87 (define @t125 () (= tptp.zero @t124)) % 25.61/25.87 (define @t126 () (= @t89 (tptp.addition @t89 @t89))) % 25.61/25.87 (define @t127 () (tptp.addition @t57 @t83)) % 25.61/25.87 (define @t128 () (tptp.addition @t127 @t82)) % 25.61/25.87 (define @t129 () (= (tptp.addition @t57 @t121) @t128)) % 25.61/25.87 (define @t130 () (tptp.multiplication @t91 @t87)) % 25.61/25.87 (define @t131 () (= tptp.zero @t130)) % 25.61/25.87 (define @t132 () (tptp.multiplication tptp.one @t65)) % 25.61/25.87 (define @t133 () (= @t65 @t132)) % 25.61/25.87 (define @t134 () (tptp.addition @t87 @t87)) % 25.61/25.87 (define @t135 () (= @t87 @t134)) % 25.61/25.87 (define @t136 () (tptp.addition @t92 @t91)) % 25.61/25.87 (define @t137 () (= tptp.one @t136)) % 25.61/25.87 (define @t138 () (tptp.addition @t87 @t116)) % 25.61/25.87 (define @t139 () (= @t138 (tptp.addition (tptp.addition @t87 @t75) @t74))) % 25.61/25.87 (define @t140 () (= @t92 (tptp.multiplication tptp.one @t92))) % 25.61/25.87 (define @t141 () (= @t91 (tptp.multiplication tptp.one @t91))) % 25.61/25.87 (define @t142 () (tptp.addition @t105 @t106)) % 25.61/25.87 (define @t143 () (= (tptp.multiplication @t60 (tptp.addition @t87 tptp.one)) @t142)) % 25.61/25.87 (define @t144 () (tptp.domain @t59)) % 25.61/25.87 (define @t145 () (tptp.multiplication @t60 @t144)) % 25.61/25.87 (define @t146 () (tptp.domain @t145)) % 25.61/25.87 (define @t147 () (= @t61 @t146)) % 25.61/25.87 (define @t148 () (tptp.multiplication @t98 @t65)) % 25.61/25.87 (define @t149 () (= tptp.zero @t148)) % 25.61/25.87 (define @t150 () (tptp.domain @t65)) % 25.61/25.87 (define @t151 () (= @t99 @t150)) % 25.61/25.87 (define @t152 () (tptp.addition @t99 @t98)) % 25.61/25.87 (define @t153 () (= tptp.one @t152)) % 25.61/25.87 (define @t154 () (tptp.multiplication @t96 tptp.one)) % 25.61/25.87 (define @t155 () (= @t96 @t154)) % 25.61/25.87 (define @t156 () (tptp.addition @t89 @t61)) % 25.61/25.87 (define @t157 () (= @t156 (tptp.addition @t61 @t89))) % 25.61/25.87 (define @t158 () (= tptp.zero (tptp.multiplication (tptp.antidomain @t97) @t97))) % 25.61/25.87 (define @t159 () (tptp.antidomain @t75)) % 25.61/25.87 (define @t160 () (tptp.addition @t159 @t75)) % 25.61/25.87 (define @t161 () (= tptp.one @t160)) % 25.61/25.87 (define @t162 () (tptp.multiplication @t152 @t65)) % 25.61/25.87 (define @t163 () (= @t162 (tptp.addition @t100 @t148))) % 25.61/25.87 (define @t164 () (tptp.addition @t100 tptp.zero)) % 25.61/25.87 (define @t165 () (= @t100 @t164)) % 25.61/25.87 (define @t166 () (tptp.multiplication @t96 @t97)) % 25.61/25.87 (define @t167 () (tptp.multiplication @t96 @t87)) % 25.61/25.87 (define @t168 () (tptp.addition @t167 @t166)) % 25.61/25.87 (define @t169 () (= (tptp.multiplication @t96 @t101) @t168)) % 25.61/25.87 (define @t170 () (tptp.multiplication @t61 @t105)) % 25.61/25.87 (define @t171 () (tptp.multiplication @t89 @t105)) % 25.61/25.87 (define @t172 () (tptp.addition @t171 @t170)) % 25.61/25.87 (define @t173 () (= (tptp.multiplication @t156 @t105) @t172)) % 25.61/25.87 (define @t174 () (tptp.multiplication @t136 @t75)) % 25.61/25.87 (define @t175 () (= @t174 (tptp.addition (tptp.multiplication @t92 @t75) (tptp.multiplication @t91 @t75)))) % 25.61/25.87 (define @t176 () (tptp.multiplication @t57 @t106)) % 25.61/25.87 (define @t177 () (tptp.multiplication @t57 @t105)) % 25.61/25.87 (define @t178 () (tptp.addition @t177 @t176)) % 25.61/25.87 (define @t179 () (= (tptp.multiplication @t57 @t142) @t178)) % 25.61/25.87 (define @t180 () (tptp.addition @t57 tptp.one)) % 25.61/25.87 (define @t181 () (tptp.multiplication @t180 @t65)) % 25.61/25.87 (define @t182 () (= @t181 (tptp.addition (tptp.multiplication @t57 @t65) @t132))) % 25.61/25.87 (define @t183 () (tptp.multiplication tptp.one @t89)) % 25.61/25.87 (define @t184 () (tptp.multiplication tptp.one @t159)) % 25.61/25.87 (define @t185 () (tptp.antidomain @t184)) % 25.61/25.87 (define @t186 () (tptp.multiplication tptp.one @t87)) % 25.61/25.87 (define @t187 () (and @t63 @t108 @t109 @t111 @t112 @t114 @t115 @t79 @t117 @t119 @t120 @t86 @t122 @t123 @t125 @t126 @t129 @t131 @t133 @t95 @t135 @t137 @t139 @t140 @t141 @t143 @t147 @t149 @t151 @t153 @t155 @t157 @t158 @t161 @t163 @t165 @t104 @t169 @t173 @t175 @t179 @t182)) % 25.61/25.87 (assume @p1 @t5) % 25.61/25.87 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 25.61/25.87 (assume @p3 @t10) % 25.61/25.87 (assume @p4 @t12) % 25.61/25.87 (assume @p5 (forall @t15 (= (tptp.multiplication @t1 @t14) (tptp.multiplication @t13 @t6)))) % 25.61/25.87 (assume @p6 @t17) % 25.61/25.87 (assume @p7 @t19) % 25.61/25.87 (assume @p8 (forall @t15 (= (tptp.multiplication @t1 @t7) (tptp.addition @t13 @t20)))) % 25.61/25.87 (assume @p9 (forall @t15 (= (tptp.multiplication @t3 @t6) (tptp.addition @t20 @t14)))) % 25.61/25.87 (assume @p10 (forall @t9 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 25.61/25.87 (assume @p11 @t22) % 25.61/25.87 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 25.61/25.87 (assume @p13 @t27) % 25.61/25.87 (assume @p14 (forall @t32 (= (tptp.addition (tptp.antidomain @t31) @t30) @t30))) % 25.61/25.87 (assume @p15 @t35) % 25.61/25.87 (assume @p16 @t37) % 25.61/25.87 (assume @p17 (forall @t26 (= (tptp.multiplication @t23 @t38) tptp.zero))) % 25.61/25.87 (assume @p18 (forall @t32 (= (tptp.addition (tptp.coantidomain @t31) @t40) @t40))) % 25.61/25.87 (assume @p19 (forall @t26 (= (tptp.addition @t39 @t38) tptp.one))) % 25.61/25.87 (assume @p20 (forall @t26 (= (tptp.codomain @t23) @t39))) % 25.61/25.87 (assume @p21 (forall @t26 (= (tptp.c @t23) (tptp.antidomain @t36)))) % 25.61/25.87 (assume @p22 (forall @t32 (= (tptp.domain_difference @t23 @t28) (tptp.multiplication @t36 @t29)))) % 25.61/25.87 (assume @p23 (forall @t32 (= (tptp.forward_diamond @t23 @t28) (tptp.domain @t42)))) % 25.61/25.87 (assume @p24 (forall @t32 (= (tptp.backward_diamond @t23 @t28) (tptp.codomain (tptp.multiplication (tptp.codomain @t28) @t23))))) % 25.61/25.87 (assume @p25 (forall @t32 (= (tptp.forward_box @t23 @t28) (tptp.c (tptp.forward_diamond @t23 @t43))))) % 25.61/25.87 (assume @p26 (forall @t32 (= (tptp.backward_box @t23 @t28) (tptp.c (tptp.backward_diamond @t23 @t43))))) % 25.61/25.87 (assume @p27 @t52) % 25.61/25.87 (assume @p28 true) % 25.61/25.87 (step @p29 :rule bool-impl-elim :args (@t53 @t54)) % 25.61/25.87 (step @p30 :rule cong :premises (@p29) :args ((forall @t50 (=> @t53 @t54)))) % 25.61/25.87 (step @p31 :rule eq-symm :args (@t47 @t46)) % 25.61/25.87 (step @p32 :rule eq-symm :args (@t48 @t45)) % 25.61/25.87 (step @p33 :rule cong :premises (@p32 @p31) :args (@t49)) % 25.61/25.87 (step @p34 :rule cong :premises (@p33) :args (@t51)) % 25.61/25.87 (step @p35 :rule trans :premises (@p34 @p30)) % 25.61/25.87 (step @p36 :rule cong :premises (@p35) :args (@t52)) % 25.61/25.87 (step @p37 :rule eq_resolve :premises (@p27 @p36)) % 25.61/25.87 (step @p38 :rule skolemize :premises (@p37)) % 25.61/25.87 (step @p39 :rule bool-double-not-elim :args (@t63)) % 25.61/25.87 (step @p40 :rule refl :args (@t68)) % 25.61/25.87 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t68 (not @t67)))) % 25.61/25.87 (step @p42 :rule cnf_or_neg :args (@t68 0)) % 25.61/25.87 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 25.61/25.87 (step @p44 :rule reordering :premises (@p43) :args ((or @t63 @t68))) % 25.61/25.87 (step @p45 :rule chain_m_resolution :premises (@p44 @p38) :args (@t63 @t69 @t70)) % 25.61/25.87 (step @p46 :rule cnf_or_neg :args (@t68 1)) % 25.61/25.87 (step @p47 :rule chain_m_resolution :premises (@p46 @p38) :args ((not @t66) @t69 @t70)) % 25.61/25.87 (step @p48 :rule eq-symm :args (@t25 tptp.zero)) % 25.61/25.87 (step @p49 :rule cong :premises (@p48) :args (@t27)) % 25.61/25.87 (step @p50 :rule eq_resolve :premises (@p13 @p49)) % 25.61/25.87 (step @p51 :rule instantiate :premises (@p50) :args (@t71)) % 25.61/25.87 (step @p52 :rule eq-symm 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(assume-push @p411 @t149) % 25.61/25.87 (assume-push @p412 @t151) % 25.61/25.87 (assume-push @p413 @t153) % 25.61/25.87 (assume-push @p414 @t155) % 25.61/25.87 (assume-push @p415 @t157) % 25.61/25.87 (assume-push @p416 @t158) % 25.61/25.87 (assume-push @p417 @t161) % 25.61/25.87 (assume-push @p418 @t163) % 25.61/25.87 (assume-push @p419 @t165) % 25.61/25.87 (assume-push @p420 @t104) % 25.61/25.87 (assume-push @p421 @t169) % 25.61/25.87 (assume-push @p422 @t173) % 25.61/25.87 (assume-push @p423 @t175) % 25.61/25.87 (assume-push @p424 @t179) % 25.61/25.87 (assume-push @p425 @t182) % 25.61/25.87 (step @p189 :rule symm :premises (@p68)) % 25.61/25.87 (step @p190 :rule refl :args (@t57)) % 25.61/25.87 (step @p191 :rule cong :premises (@p190 @p189) :args (@t176)) % 25.61/25.87 (step @p192 :rule symm :premises (@p106)) % 25.61/25.87 (step @p193 :rule refl :args (@t65)) % 25.61/25.87 (step @p194 :rule symm :premises (@p94)) % 25.61/25.87 (step @p195 :rule refl :args (@t82)) % 25.61/25.87 (step 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25.61/25.87 (step @p268 :rule trans :premises (@p267 @p266)) % 25.61/25.87 (step @p269 :rule cong :premises (@p268) :args (@t92)) % 25.61/25.87 (step @p270 :rule trans :premises (@p115 @p269)) % 25.61/25.87 (step @p271 :rule trans :premises (@p259 @p270)) % 25.61/25.87 (step @p272 :rule cong :premises (@p271 @p265) :args (@t166)) % 25.61/25.87 (step @p273 :rule trans :premises (@p272 @p264 @p99)) % 25.61/25.87 (step @p274 :rule refl :args (@t167)) % 25.61/25.87 (step @p275 :rule cong :premises (@p274 @p273) :args (@t168)) % 25.61/25.87 (step @p276 :rule symm :premises (@p231)) % 25.61/25.87 (step @p277 :rule cong :premises (@p197 @p225) :args (@t186)) % 25.61/25.87 (step @p278 :rule trans :premises (@p277 @p224 @p223 @p73)) % 25.61/25.87 (step @p279 :rule cong :premises (@p278) :args ((tptp.antidomain @t186))) % 25.61/25.87 (step @p280 :rule trans :premises (@p279 @p266)) % 25.61/25.87 (step @p281 :rule symm :premises (@p279)) % 25.61/25.87 (step @p282 :rule trans :premises (@p247 @p281)) % 25.61/25.87 (step @p283 :rule trans :premises (@p282 @p280)) % 25.61/25.87 (step @p284 :rule cong :premises (@p283 @p276) :args (@t160)) % 25.61/25.87 (step @p285 :rule trans :premises (@p129 @p284 @p141)) % 25.61/25.87 (step @p286 :rule refl :args (@t96)) % 25.61/25.87 (step @p287 :rule cong :premises (@p286 @p285) :args (@t154)) % 25.61/25.87 (step @p288 :rule symm :premises (@p258)) % 25.61/25.87 (step @p289 :rule cong :premises (@p245) :args (@t144)) % 25.61/25.87 (step @p290 :rule trans :premises (@p289 @p115 @p119 @p288 @p126 @p287 @p142 @p275 @p263 @p230 @p229 @p224 @p223 @p73)) % 25.61/25.87 (step @p291 :rule cong :premises (@p226 @p290) :args (@t145)) % 25.61/25.87 (step @p292 :rule cong :premises (@p291) :args (@t146)) % 25.61/25.87 (step @p293 :rule trans :premises (@p122 @p292 @p221)) % 25.61/25.87 (step @p294 :rule trans :premises (@p293 @p124)) % 25.61/25.87 (step @p295 :rule cong :premises (@p294 @p227) :args (@t170)) % 25.61/25.87 (step @p296 :rule trans :premises (@p295 @p222 @p131 @p220 @p218 @p217)) % 25.61/25.87 (step @p297 :rule cong :premises (@p200 @p227) :args (@t171)) % 25.61/25.87 (step @p298 :rule cong :premises (@p297 @p296) :args (@t172)) % 25.61/25.87 (step @p299 :rule refl :args (@t105)) % 25.61/25.87 (step @p300 :rule symm :premises (@p127)) % 25.61/25.87 (step @p301 :rule symm :premises (@p200)) % 25.61/25.87 (step @p302 :rule refl :args (@t61)) % 25.61/25.87 (step @p303 :rule cong :premises (@p302 @p301) :args (@t62)) % 25.61/25.87 (step @p304 :rule trans :premises (@p45 @p303 @p300)) % 25.61/25.87 (step @p305 :rule trans :premises (@p200 @p304)) % 25.61/25.87 (step @p306 :rule cong :premises (@p305 @p299) :args (@t171)) % 25.61/25.87 (step @p307 :rule symm :premises (@p297)) % 25.61/25.87 (step @p308 :rule trans :premises (@p307 @p306 @p143 @p298 @p215 @p214 @p192)) % 25.61/25.87 (step @p309 :rule cong :premises (@p301 @p299) :args (@t177)) % 25.61/25.87 (step @p310 :rule trans :premises (@p309 @p297 @p308)) % 25.61/25.87 (step @p311 :rule cong :premises (@p310 @p191) :args (@t178)) % 25.61/25.87 (step @p312 :rule symm :premises (@p79)) % 25.61/25.87 (step @p313 :rule cong :premises (@p254 @p312) :args (@t138)) % 25.61/25.87 (step @p314 :rule symm :premises (@p118)) % 25.61/25.87 (step @p315 :rule refl :args (@t74)) % 25.61/25.87 (step @p316 :rule trans :premises (@p277 @p224 @p223)) % 25.61/25.87 (step @p317 :rule cong :premises (@p277 @p316) :args ((tptp.addition @t186 @t186))) % 25.61/25.87 (step @p318 :rule symm :premises (@p277)) % 25.61/25.87 (step @p319 :rule cong :premises (@p318 @p318) :args (@t134)) % 25.61/25.87 (step @p320 :rule symm :premises (@p224)) % 25.61/25.87 (step @p321 :rule trans :premises (@p84 @p320 @p116 @p319 @p317)) % 25.61/25.87 (step @p322 :rule cong :premises (@p321 @p315) :args (@t116)) % 25.61/25.87 (step @p323 :rule trans :premises (@p79 @p322 @p314 @p313)) % 25.61/25.87 (step @p324 :rule cong :premises (@p226 @p323) :args (@t106)) % 25.61/25.87 (step @p325 :rule trans :premises (@p68 @p324 @p121)) % 25.61/25.87 (step @p326 :rule cong :premises (@p190 @p325) :args (@t64)) % 25.61/25.87 (step @p327 :rule trans :premises (@p326 @p145 @p311)) % 25.61/25.87 (step-pop @p426 :rule scope :premises (@p327)) % 25.61/25.87 (step-pop @p427 :rule scope :premises (@p426)) % 25.61/25.87 (step-pop @p428 :rule scope :premises (@p427)) % 25.61/25.87 (step-pop @p429 :rule scope :premises (@p428)) % 25.61/25.87 (step-pop @p430 :rule scope :premises (@p429)) % 25.61/25.87 (step-pop @p431 :rule scope :premises (@p430)) % 25.61/25.87 (step-pop @p432 :rule scope :premises (@p431)) % 25.61/25.87 (step-pop @p433 :rule scope :premises (@p432)) % 25.61/25.87 (step-pop @p434 :rule scope :premises (@p433)) % 25.61/25.87 (step-pop @p435 :rule scope :premises (@p434)) % 25.61/25.87 (step-pop @p436 :rule scope :premises (@p435)) % 25.61/25.87 (step-pop @p437 :rule scope :premises (@p436)) % 25.61/25.87 (step-pop @p438 :rule scope :premises (@p437)) % 25.61/25.87 (step-pop @p439 :rule scope :premises (@p438)) % 25.61/25.87 (step-pop @p440 :rule scope :premises (@p439)) % 25.61/25.87 (step-pop @p441 :rule scope :premises (@p440)) % 25.61/25.87 (step-pop @p442 :rule scope :premises (@p441)) % 25.61/25.87 (step-pop @p443 :rule scope :premises (@p442)) % 25.61/25.87 (step-pop @p444 :rule scope :premises (@p443)) % 25.61/25.87 (step-pop @p445 :rule scope :premises (@p444)) % 25.61/25.87 (step-pop @p446 :rule scope :premises (@p445)) % 25.61/25.87 (step-pop @p447 :rule scope :premises (@p446)) % 25.61/25.87 (step-pop @p448 :rule scope :premises (@p447)) % 25.61/25.87 (step-pop @p449 :rule scope :premises (@p448)) % 25.61/25.87 (step-pop @p450 :rule scope :premises (@p449)) % 25.61/25.87 (step-pop @p451 :rule scope :premises (@p450)) % 25.61/25.87 (step-pop @p452 :rule scope :premises (@p451)) % 25.61/25.87 (step-pop @p453 :rule scope :premises (@p452)) % 25.61/25.87 (step-pop @p454 :rule scope :premises (@p453)) % 25.61/25.87 (step-pop @p455 :rule scope :premises (@p454)) % 25.61/25.87 (step-pop @p456 :rule scope :premises (@p455)) % 25.61/25.87 (step-pop @p457 :rule scope :premises (@p456)) % 25.61/25.87 (step-pop @p458 :rule scope :premises (@p457)) % 25.61/25.87 (step-pop @p459 :rule scope :premises (@p458)) % 25.61/25.87 (step-pop @p460 :rule scope :premises (@p459)) % 25.61/25.87 (step-pop @p461 :rule scope :premises (@p460)) % 25.61/25.87 (step-pop @p462 :rule scope :premises (@p461)) % 25.61/25.87 (step-pop @p463 :rule scope :premises (@p462)) % 25.61/25.87 (step-pop @p464 :rule scope :premises (@p463)) % 25.61/25.87 (step-pop @p465 :rule scope :premises (@p464)) % 25.61/25.87 (step-pop @p466 :rule scope :premises (@p465)) % 25.61/25.87 (step-pop @p467 :rule scope :premises (@p466)) % 25.61/25.87 (step @p328 :rule process_scope :premises (@p467) :args (@t66)) % 25.61/25.87 (step @p371 :rule implies_elim :premises (@p328)) % 25.61/25.87 (step @p372 :rule cnf_and_neg :args (@t187)) % 25.61/25.87 (step @p373 :rule resolution :premises (@p372 @p371) :args (true @t187)) % 25.61/25.87 (step @p374 :rule reordering :premises (@p373) :args ((or @t67 @t66 (not @t108) (not @t109) (not @t111) (not @t112) (not @t114) (not @t115) (not @t79) (not @t117) (not @t119) (not @t120) (not @t86) (not @t122) (not @t123) (not @t125) (not @t126) (not @t129) (not @t131) (not @t133) (not @t95) (not @t135) (not @t137) (not @t139) (not @t140) (not @t141) (not @t143) (not @t147) (not @t149) (not @t151) (not @t153) (not @t155) (not @t157) (not @t158) (not @t161) (not @t163) (not @t165) (not @t104) (not @t169) (not @t173) (not @t175) (not @t179) (not @t182)))) % 25.61/25.87 (step @p375 false :rule chain_m_resolution :premises (@p374 @p146 @p145 @p144 @p143 @p142 @p141 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p106 @p105 @p104 @p103 @p99 @p95 @p94 @p93 @p84 @p80 @p79 @p78 @p68 @p67 @p63 @p59 @p55 @p51 @p47 @p45) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false) (@list @t182 @t179 @t175 @t173 @t169 @t104 @t165 @t163 @t161 @t158 @t157 @t155 @t153 @t151 @t149 @t147 @t143 @t141 @t140 @t139 @t137 @t135 @t95 @t133 @t131 @t129 @t126 @t125 @t123 @t122 @t86 @t120 @t119 @t117 @t79 @t115 @t114 @t112 @t111 @t109 @t108 @t66 @t63))) % 25.61/25.87 ) % 25.61/25.87 % SZS output end Proof % 25.61/25.87 % cvc5 exiting %------------------------------------------------------------------------------