%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM426+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:39:22 AM UTC 2026 % Result : Theorem 38.12s 38.36s % Output : Proof 38.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM426+1 : TPTP v9.2.1. Released v4.0.0. % 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 : n013.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 11:17:45 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 38.12/38.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 38.12/38.36 --- Run --no-e-matching --full-saturate-quant at 6... % 38.12/38.36 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 38.12/38.36 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 38.12/38.36 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 38.12/38.36 % SZS status Theorem % 38.12/38.36 % SZS output start Proof % 38.12/38.36 ( % 38.12/38.36 (declare-sort $$unsorted 0) % 38.12/38.36 (declare-const tptp.xb $$unsorted) % 38.12/38.36 (declare-const tptp.xq $$unsorted) % 38.12/38.36 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 38.12/38.36 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 38.12/38.36 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 38.12/38.36 (declare-const tptp.xa $$unsorted) % 38.12/38.36 (declare-const tptp.sz10 $$unsorted) % 38.12/38.36 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 38.12/38.36 (declare-const tptp.sz00 $$unsorted) % 38.12/38.36 (declare-const tptp.xn $$unsorted) % 38.12/38.36 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 38.12/38.36 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 38.12/38.36 (define @t1 () (@var "W0" $$unsorted)) % 38.12/38.36 (define @t2 () (tptp.aInteger0 @t1)) % 38.12/38.36 (define @t3 () (@list @t1)) % 38.12/38.36 (define @t4 () (tptp.aInteger0 tptp.sz00)) % 38.12/38.36 (define @t5 () (tptp.smndt0 @t1)) % 38.12/38.36 (define @t6 () (tptp.aInteger0 @t5)) % 38.12/38.36 (define @t7 () (forall @t3 (=> @t2 @t6))) % 38.12/38.36 (define @t8 () (@var "W1" $$unsorted)) % 38.12/38.36 (define @t9 () (tptp.sdtpldt0 @t1 @t8)) % 38.12/38.36 (define @t10 () (tptp.aInteger0 @t9)) % 38.12/38.36 (define @t11 () (tptp.aInteger0 @t8)) % 38.12/38.36 (define @t12 () (and @t2 @t11)) % 38.12/38.36 (define @t13 () (@list @t1 @t8)) % 38.12/38.36 (define @t14 () (forall @t13 (=> @t12 @t10))) % 38.12/38.36 (define @t15 () (tptp.sdtasdt0 @t1 @t8)) % 38.12/38.36 (define @t16 () (tptp.aInteger0 @t15)) % 38.12/38.36 (define @t17 () (forall @t13 (=> @t12 @t16))) % 38.12/38.36 (define @t18 () (@var "W2" $$unsorted)) % 38.12/38.36 (define @t19 () (tptp.sdtpldt0 @t8 @t18)) % 38.12/38.36 (define @t20 () (= (tptp.sdtpldt0 @t1 @t19) (tptp.sdtpldt0 @t9 @t18))) % 38.12/38.36 (define @t21 () (tptp.aInteger0 @t18)) % 38.12/38.36 (define @t22 () (and @t2 @t11 @t21)) % 38.12/38.36 (define @t23 () (@list @t1 @t8 @t18)) % 38.12/38.36 (define @t24 () (forall @t23 (=> @t22 @t20))) % 38.12/38.36 (define @t25 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 38.12/38.36 (define @t26 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 38.12/38.36 (define @t27 () (and (= @t26 @t1) @t25)) % 38.12/38.36 (define @t28 () (=> @t2 @t27)) % 38.12/38.36 (define @t29 () (forall @t3 @t28)) % 38.12/38.36 (define @t30 () (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1))) % 38.12/38.36 (define @t31 () (tptp.sdtpldt0 @t1 @t5)) % 38.12/38.36 (define @t32 () (and (= @t31 tptp.sz00) @t30)) % 38.12/38.36 (define @t33 () (=> @t2 @t32)) % 38.12/38.36 (define @t34 () (forall @t3 @t33)) % 38.12/38.36 (define @t35 () (tptp.sdtasdt0 @t8 @t18)) % 38.12/38.36 (define @t36 () (= @t15 (tptp.sdtasdt0 @t8 @t1))) % 38.12/38.36 (define @t37 () (forall @t13 (=> @t12 @t36))) % 38.12/38.36 (define @t38 () (tptp.sdtasdt0 @t1 @t18)) % 38.12/38.36 (define @t39 () (and (= (tptp.sdtasdt0 @t1 @t19) (tptp.sdtpldt0 @t15 @t38)) (= (tptp.sdtasdt0 @t9 @t18) (tptp.sdtpldt0 @t38 @t35)))) % 38.12/38.36 (define @t40 () (forall @t23 (=> @t22 @t39))) % 38.12/38.36 (define @t41 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 38.12/38.36 (define @t42 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 38.12/38.36 (define @t43 () (and (= @t42 tptp.sz00) @t41)) % 38.12/38.36 (define @t44 () (=> @t2 @t43)) % 38.12/38.36 (define @t45 () (forall @t3 @t44)) % 38.12/38.36 (define @t46 () (tptp.smndt0 tptp.sz10)) % 38.12/38.36 (define @t47 () (= @t8 tptp.sz00)) % 38.12/38.36 (define @t48 () (not @t47)) % 38.12/38.36 (define @t49 () (tptp.aInteger0 tptp.xq)) % 38.12/38.36 (define @t50 () (tptp.aInteger0 tptp.xb)) % 38.12/38.36 (define @t51 () (tptp.aInteger0 tptp.xa)) % 38.12/38.36 (define @t52 () (tptp.smndt0 tptp.xb)) % 38.12/38.36 (define @t53 () (tptp.sdtpldt0 tptp.xa @t52)) % 38.12/38.36 (define @t54 () (tptp.sdtasdt0 tptp.xq tptp.xn)) % 38.12/38.36 (define @t55 () (= @t54 @t53)) % 38.12/38.36 (define @t56 () (tptp.aInteger0 tptp.xn)) % 38.12/38.36 (define @t57 () (tptp.smndt0 tptp.xa)) % 38.12/38.36 (define @t58 () (tptp.sdtpldt0 tptp.xb @t57)) % 38.12/38.36 (define @t59 () (tptp.smndt0 tptp.xn)) % 38.12/38.36 (define @t60 () (tptp.sdtasdt0 tptp.xq @t59)) % 38.12/38.36 (define @t61 () (= @t60 @t58)) % 38.12/38.36 (define @t62 () (not @t61)) % 38.12/38.36 (define @t63 () (not @t11)) % 38.12/38.36 (define @t64 () (not @t2)) % 38.12/38.36 (define @t65 () (or @t64 @t63)) % 38.12/38.36 (define @t66 () (not @t12)) % 38.12/38.36 (define @t67 () (@list tptp.xq @t59)) % 38.12/38.36 (define @t68 () (@list tptp.xn)) % 38.12/38.36 (define @t69 () (tptp.aInteger0 @t59)) % 38.12/38.36 (define @t70 () (not @t56)) % 38.12/38.36 (define @t71 () (or @t70 @t69)) % 38.12/38.36 (define @t72 () (@list false false)) % 38.12/38.36 (define @t73 () (tptp.sdtasdt0 @t59 tptp.xq)) % 38.12/38.36 (define @t74 () (= @t60 @t73)) % 38.12/38.36 (define @t75 () (not @t69)) % 38.12/38.36 (define @t76 () (not @t49)) % 38.12/38.36 (define @t77 () (or @t76 @t75 @t74)) % 38.12/38.36 (define @t78 () (@list false false false)) % 38.12/38.36 (define @t79 () (and (= @t1 @t26) @t25)) % 38.12/38.36 (define @t80 () (@list tptp.xb)) % 38.12/38.36 (define @t81 () (tptp.sdtpldt0 tptp.sz00 tptp.xb)) % 38.12/38.36 (define @t82 () (= tptp.xb @t81)) % 38.12/38.36 (define @t83 () (and (= tptp.xb (tptp.sdtpldt0 tptp.xb tptp.sz00)) @t82)) % 38.12/38.36 (define @t84 () (not @t50)) % 38.12/38.36 (define @t85 () (or @t84 @t83)) % 38.12/38.36 (define @t86 () (@list false)) % 38.12/38.36 (define @t87 () (and (= tptp.sz00 @t31) @t30)) % 38.12/38.36 (define @t88 () (@list tptp.xa)) % 38.12/38.36 (define @t89 () (= tptp.sz00 (tptp.sdtpldt0 tptp.xa @t57))) % 38.12/38.36 (define @t90 () (and @t89 (= tptp.sz00 (tptp.sdtpldt0 @t57 tptp.xa)))) % 38.12/38.36 (define @t91 () (not @t51)) % 38.12/38.36 (define @t92 () (or @t91 @t90)) % 38.12/38.36 (define @t93 () (tptp.sdtpldt0 @t52 tptp.xb)) % 38.12/38.36 (define @t94 () (= tptp.sz00 @t93)) % 38.12/38.36 (define @t95 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xb @t52)) @t94)) % 38.12/38.36 (define @t96 () (or @t84 @t95)) % 38.12/38.36 (define @t97 () (tptp.sdtpldt0 @t59 tptp.xn)) % 38.12/38.36 (define @t98 () (= tptp.sz00 @t97)) % 38.12/38.36 (define @t99 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xn @t59)) @t98)) % 38.12/38.36 (define @t100 () (or @t70 @t99)) % 38.12/38.36 (define @t101 () (and (= tptp.sz00 @t42) @t41)) % 38.12/38.36 (define @t102 () (tptp.sdtasdt0 tptp.sz00 tptp.xq)) % 38.12/38.36 (define @t103 () (= tptp.sz00 @t102)) % 38.12/38.36 (define @t104 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xq tptp.sz00))) % 38.12/38.36 (define @t105 () (and @t104 @t103)) % 38.12/38.36 (define @t106 () (or @t76 @t105)) % 38.12/38.36 (define @t107 () (not @t105)) % 38.12/38.36 (define @t108 () (@list @t105)) % 38.12/38.36 (define @t109 () (not @t21)) % 38.12/38.36 (define @t110 () (or @t64 @t63 @t109)) % 38.12/38.36 (define @t111 () (not @t22)) % 38.12/38.36 (define @t112 () (tptp.aInteger0 @t57)) % 38.12/38.36 (define @t113 () (or @t91 @t112)) % 38.12/38.36 (define @t114 () (tptp.sdtpldt0 @t81 @t57)) % 38.12/38.36 (define @t115 () (= (tptp.sdtpldt0 tptp.sz00 @t58) @t114)) % 38.12/38.36 (define @t116 () (not @t112)) % 38.12/38.36 (define @t117 () (not @t4)) % 38.12/38.36 (define @t118 () (or @t117 @t84 @t116 @t115)) % 38.12/38.36 (define @t119 () (@list false false false false)) % 38.12/38.36 (define @t120 () (tptp.aInteger0 @t60)) % 38.12/38.36 (define @t121 () (or @t76 @t75 @t120)) % 38.12/38.36 (define @t122 () (= @t60 (tptp.sdtpldt0 @t60 tptp.sz00))) % 38.12/38.36 (define @t123 () (and @t122 (= @t60 (tptp.sdtpldt0 tptp.sz00 @t60)))) % 38.12/38.36 (define @t124 () (not @t120)) % 38.12/38.36 (define @t125 () (or @t124 @t123)) % 38.12/38.36 (define @t126 () (= @t57 (tptp.sdtpldt0 tptp.sz00 @t57))) % 38.12/38.36 (define @t127 () (and (= @t57 (tptp.sdtpldt0 @t57 tptp.sz00)) @t126)) % 38.12/38.36 (define @t128 () (or @t116 @t127)) % 38.12/38.36 (define @t129 () (tptp.sdtpldt0 @t60 @t54)) % 38.12/38.36 (define @t130 () (tptp.sdtasdt0 tptp.xq @t97)) % 38.12/38.36 (define @t131 () (= @t130 @t129)) % 38.12/38.36 (define @t132 () (and @t131 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xq @t59) tptp.xn) (tptp.sdtpldt0 @t54 (tptp.sdtasdt0 @t59 tptp.xn))))) % 38.12/38.36 (define @t133 () (or @t76 @t75 @t70 @t132)) % 38.12/38.36 (define @t134 () (tptp.aInteger0 @t52)) % 38.12/38.36 (define @t135 () (or @t84 @t134)) % 38.12/38.36 (define @t136 () (tptp.sdtpldt0 @t93 @t57)) % 38.12/38.36 (define @t137 () (tptp.sdtpldt0 @t52 @t58)) % 38.12/38.36 (define @t138 () (= @t137 @t136)) % 38.12/38.36 (define @t139 () (not @t134)) % 38.12/38.36 (define @t140 () (or @t139 @t84 @t116 @t138)) % 38.12/38.36 (define @t141 () (tptp.aInteger0 @t58)) % 38.12/38.36 (define @t142 () (or @t84 @t116 @t141)) % 38.12/38.36 (define @t143 () (tptp.sdtpldt0 tptp.xa @t137)) % 38.12/38.36 (define @t144 () (= @t143 (tptp.sdtpldt0 @t53 @t58))) % 38.12/38.36 (define @t145 () (not @t141)) % 38.12/38.36 (define @t146 () (or @t91 @t139 @t145 @t144)) % 38.12/38.36 (define @t147 () (tptp.aInteger0 @t54)) % 38.12/38.36 (define @t148 () (or @t76 @t70 @t147)) % 38.12/38.36 (define @t149 () (tptp.sdtpldt0 @t129 @t58)) % 38.12/38.36 (define @t150 () (tptp.sdtpldt0 @t54 @t58)) % 38.12/38.36 (define @t151 () (tptp.sdtpldt0 @t60 @t150)) % 38.12/38.36 (define @t152 () (= @t151 @t149)) % 38.12/38.36 (define @t153 () (not @t147)) % 38.12/38.36 (define @t154 () (or @t124 @t153 @t145 @t152)) % 38.12/38.36 (define @t155 () (not @t152)) % 38.12/38.36 (define @t156 () (not @t144)) % 38.12/38.36 (define @t157 () (not @t138)) % 38.12/38.36 (define @t158 () (not @t131)) % 38.12/38.36 (define @t159 () (not @t126)) % 38.12/38.36 (define @t160 () (not @t122)) % 38.12/38.36 (define @t161 () (not @t115)) % 38.12/38.36 (define @t162 () (not @t103)) % 38.12/38.36 (define @t163 () (not @t104)) % 38.12/38.36 (define @t164 () (not @t74)) % 38.12/38.36 (define @t165 () (not @t98)) % 38.12/38.36 (define @t166 () (not @t94)) % 38.12/38.36 (define @t167 () (not @t89)) % 38.12/38.36 (define @t168 () (not @t82)) % 38.12/38.36 (define @t169 () (not @t55)) % 38.12/38.36 (define @t170 () (tptp.sdtpldt0 @t73 @t102)) % 38.12/38.36 (define @t171 () (and @t152 @t155)) % 38.12/38.36 (assume @p1 (forall @t3 (=> @t2 true))) % 38.12/38.36 (assume @p2 @t4) % 38.12/38.36 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 38.12/38.36 (assume @p4 @t7) % 38.12/38.36 (assume @p5 @t14) % 38.12/38.36 (assume @p6 @t17) % 38.12/38.36 (assume @p7 @t24) % 38.12/38.36 (assume @p8 (forall @t13 (=> @t12 (= @t9 (tptp.sdtpldt0 @t8 @t1))))) % 38.12/38.36 (assume @p9 @t29) % 38.12/38.36 (assume @p10 @t34) % 38.12/38.36 (assume @p11 (forall @t23 (=> @t22 (= (tptp.sdtasdt0 @t1 @t35) (tptp.sdtasdt0 @t15 @t18))))) % 38.12/38.36 (assume @p12 @t37) % 38.12/38.36 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 38.12/38.36 (assume @p14 @t40) % 38.12/38.36 (assume @p15 @t45) % 38.12/38.36 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t46 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t46)))))) % 38.12/38.36 (assume @p17 (forall @t13 (=> @t12 (=> (= @t15 tptp.sz00) (or (= @t1 tptp.sz00) @t47))))) % 38.12/38.36 (assume @p18 (forall @t3 (=> @t2 (forall (@list @t8) (= (tptp.aDivisorOf0 @t8 @t1) (and @t11 @t48 (exists (@list @t18) (and @t21 (= @t35 @t1))))))))) % 38.12/38.36 (assume @p19 (forall @t23 (=> (and @t2 @t11 @t21 (not (= @t18 tptp.sz00))) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t18) (tptp.aDivisorOf0 @t18 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t8))))))) % 38.12/38.36 (assume @p20 (forall @t13 (=> (and @t2 @t11 @t48) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t8)))) % 38.12/38.36 (assume @p21 (and @t51 @t50 @t49 (not (= tptp.xq tptp.sz00)))) % 38.12/38.36 (assume @p22 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq)) % 38.12/38.36 (assume @p23 (and @t56 @t55)) % 38.12/38.36 (assume @p24 @t62) % 38.12/38.36 (assume @p25 true) % 38.12/38.36 (step @p26 :rule and_elim :premises (@p23) :args (1)) % 38.12/38.36 (step @p27 :rule aci_norm :args ((= (or @t65 @t36) (or @t64 @t63 @t36)))) % 38.12/38.36 (step @p28 :rule refl :args (@t36)) % 38.12/38.36 (step @p29 :rule bool-and-de-morgan :args (@t2 @t11 true)) % 38.12/38.36 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t66 @t36))) % 38.12/38.36 (step @p31 :rule trans :premises (@p30 @p27)) % 38.12/38.36 (step @p32 :rule bool-impl-elim :args (@t12 @t36)) % 38.12/38.36 (step @p33 :rule trans :premises (@p32 @p31)) % 38.12/38.36 (step @p34 :rule cong :premises (@p33) :args (@t37)) % 38.12/38.36 (step @p35 :rule eq_resolve :premises (@p12 @p34)) % 38.12/38.36 (step @p36 :rule instantiate :premises (@p35) :args (@t67)) % 38.12/38.36 (step @p37 :rule bool-impl-elim :args (@t2 @t6)) % 38.12/38.36 (step @p38 :rule cong :premises (@p37) :args (@t7)) % 38.12/38.36 (step @p39 :rule eq_resolve :premises (@p4 @p38)) % 38.12/38.36 (step @p40 :rule instantiate :premises (@p39) :args (@t68)) % 38.12/38.36 (step @p41 :rule and_elim :premises (@p23) :args (0)) % 38.12/38.36 (step @p42 :rule cnf_or_pos :args (@t71)) % 38.12/38.36 (step @p43 :rule reordering :premises (@p42) :args ((or @t70 @t69 (not @t71)))) % 38.12/38.36 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p40) :args (@t69 @t72 (@list @t56 @t71))) % 38.12/38.36 (step @p45 :rule and_elim :premises (@p21) :args (2)) % 38.12/38.36 (step @p46 :rule cnf_or_pos :args (@t77)) % 38.12/38.36 (step @p47 :rule reordering :premises (@p46) :args ((or @t76 @t75 @t74 (not @t77)))) % 38.12/38.36 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44 @p36) :args (@t74 @t78 (@list @t49 @t69 @t77))) % 38.12/38.36 (step @p49 :rule bool-impl-elim :args (@t2 @t79)) % 38.12/38.36 (step @p50 :rule cong :premises (@p49) :args ((forall @t3 (=> @t2 @t79)))) % 38.12/38.36 (step @p51 :rule refl :args (@t25)) % 38.12/38.36 (step @p52 :rule eq-symm :args (@t26 @t1)) % 38.12/38.36 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t27)) % 38.12/38.36 (step @p54 :rule refl :args (@t2)) % 38.12/38.36 (step @p55 :rule cong :premises (@p54 @p53) :args (@t28)) % 38.12/38.36 (step @p56 :rule cong :premises (@p55) :args (@t29)) % 38.12/38.36 (step @p57 :rule trans :premises (@p56 @p50)) % 38.12/38.36 (step @p58 :rule eq_resolve :premises (@p9 @p57)) % 38.12/38.36 (step @p59 :rule instantiate :premises (@p58) :args (@t80)) % 38.12/38.36 (step @p60 :rule and_elim :premises (@p21) :args (1)) % 38.12/38.36 (step @p61 :rule cnf_or_pos :args (@t85)) % 38.12/38.36 (step @p62 :rule reordering :premises (@p61) :args ((or @t84 @t83 (not @t85)))) % 38.12/38.36 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p59) :args (@t83 @t72 (@list @t50 @t85))) % 38.12/38.36 (step @p64 :rule cnf_and_pos :args (@t83 1)) % 38.12/38.36 (step @p65 :rule reordering :premises (@p64) :args ((or @t82 (not @t83)))) % 38.12/38.36 (step @p66 :rule chain_m_resolution :premises 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@p240) :args (@t130)) % 38.12/38.36 (step @p243 :rule symm :premises (@p180)) % 38.12/38.36 (step @p244 :rule trans :premises (@p243 @p242 @p239)) % 38.12/38.36 (step @p245 :rule cong :premises (@p244 @p238) :args (@t149)) % 38.12/38.36 (step @p246 :rule trans :premises (@p245 @p139 @p237)) % 38.12/38.36 (step @p247 :rule symm :premises (@p158)) % 38.12/38.36 (step @p248 :rule symm :premises (@p116)) % 38.12/38.36 (step @p249 :rule symm :premises (@p48)) % 38.12/38.36 (step @p250 :rule cong :premises (@p249 @p248) :args (@t170)) % 38.12/38.36 (step @p251 :rule symm :premises (@p83)) % 38.12/38.36 (step @p252 :rule symm :premises (@p165)) % 38.12/38.36 (step @p253 :rule symm :premises (@p90)) % 38.12/38.36 (step @p254 :rule cong :premises (@p253 @p235) :args (@t136)) % 38.12/38.36 (step @p255 :rule trans :premises (@p188 @p254 @p252)) % 38.12/38.36 (step @p256 :rule refl :args (tptp.xa)) % 38.12/38.36 (step @p257 :rule cong :premises (@p256 @p255) :args (@t143)) % 38.12/38.36 (step @p258 :rule symm :premises (@p204)) % 38.12/38.36 (step @p259 :rule cong :premises (@p26 @p238) :args (@t150)) % 38.12/38.36 (step @p260 :rule trans :premises (@p259 @p258 @p257 @p251 @p116)) % 38.12/38.36 (step @p261 :rule cong :premises (@p48 @p260) :args (@t151)) % 38.12/38.36 (step @p262 :rule trans :premises (@p261 @p250 @p247)) % 38.12/38.36 (step @p263 :rule cong :premises (@p262 @p246) :args (@t152)) % 38.12/38.36 (step @p264 :rule trans :premises (@p263 @p234)) % 38.12/38.36 (step @p265 :rule symm :premises (@p264)) % 38.12/38.36 (step @p266 :rule trans :premises (@p265 @p233)) % 38.12/38.36 (step @p267 false :rule eq_resolve :premises (@p266 @p232)) % 38.12/38.37 (step-pop @p315 :rule scope :premises (@p267)) % 38.12/38.37 (step-pop @p316 :rule scope :premises (@p315)) % 38.12/38.37 (step @p268 :rule process_scope :premises (@p316) :args (false)) % 38.12/38.37 (assume-push @p317 @t55) % 38.12/38.37 (assume-push @p318 @t62) % 38.12/38.37 (assume-push @p319 @t82) % 38.12/38.37 (assume-push @p320 @t89) % 38.12/38.37 (assume-push @p321 @t94) % 38.12/38.37 (assume-push @p322 @t98) % 38.12/38.37 (assume-push @p323 @t74) % 38.12/38.37 (assume-push @p324 @t104) % 38.12/38.37 (assume-push @p325 @t103) % 38.12/38.37 (assume-push @p326 @t115) % 38.12/38.37 (assume-push @p327 @t122) % 38.12/38.37 (assume-push @p328 @t126) % 38.12/38.37 (assume-push @p329 @t131) % 38.12/38.37 (assume-push @p330 @t138) % 38.12/38.37 (assume-push @p331 @t144) % 38.12/38.37 (assume-push @p332 @t152) % 38.12/38.37 (step @p234 :rule false_intro :premises (@p24)) % 38.12/38.37 (step @p235 :rule refl :args (@t57)) % 38.12/38.37 (step @p236 :rule symm :premises (@p66)) % 38.12/38.37 (step @p237 :rule cong :premises (@p236 @p235) :args (@t114)) % 38.12/38.37 (step @p238 :rule refl :args (@t58)) % 38.12/38.37 (step @p239 :rule symm :premises (@p113)) % 38.12/38.37 (step @p240 :rule symm :premises (@p97)) % 38.12/38.37 (step @p241 :rule refl :args (tptp.xq)) % 38.12/38.37 (step @p242 :rule cong :premises (@p241 @p240) :args (@t130)) % 38.12/38.37 (step @p243 :rule symm :premises (@p180)) % 38.12/38.37 (step @p244 :rule trans :premises (@p243 @p242 @p239)) % 38.12/38.37 (step @p245 :rule cong :premises (@p244 @p238) :args (@t149)) % 38.12/38.37 (step @p246 :rule trans :premises (@p245 @p139 @p237)) % 38.12/38.37 (step @p247 :rule symm :premises (@p158)) % 38.12/38.37 (step @p248 :rule symm :premises (@p116)) % 38.12/38.37 (step @p249 :rule symm :premises (@p48)) % 38.12/38.37 (step @p250 :rule cong :premises (@p249 @p248) :args (@t170)) % 38.12/38.37 (step @p251 :rule symm :premises (@p83)) % 38.12/38.37 (step @p252 :rule symm :premises (@p165)) % 38.12/38.37 (step @p253 :rule symm :premises (@p90)) % 38.12/38.37 (step @p254 :rule cong :premises (@p253 @p235) :args (@t136)) % 38.12/38.37 (step @p255 :rule trans :premises (@p188 @p254 @p252)) % 38.12/38.37 (step @p256 :rule refl :args (tptp.xa)) % 38.12/38.37 (step @p257 :rule cong :premises (@p256 @p255) :args (@t143)) % 38.12/38.37 (step @p258 :rule symm :premises (@p204)) % 38.12/38.37 (step @p259 :rule cong :premises (@p26 @p238) :args (@t150)) % 38.12/38.37 (step @p260 :rule trans :premises (@p259 @p258 @p257 @p251 @p116)) % 38.12/38.37 (step @p261 :rule cong :premises (@p48 @p260) :args (@t151)) % 38.12/38.37 (step @p262 :rule trans :premises (@p261 @p250 @p247)) % 38.12/38.37 (step @p263 :rule cong :premises (@p262 @p246) :args (@t152)) % 38.12/38.37 (step @p287 :rule trans :premises (@p263 @p234)) % 38.12/38.37 (step @p288 :rule false_elim :premises (@p287)) % 38.12/38.37 (step @p289 :rule and_intro :premises (@p212 @p288)) % 38.12/38.37 (step-pop @p333 :rule scope :premises (@p289)) % 38.12/38.37 (step-pop @p334 :rule scope :premises (@p333)) % 38.12/38.37 (step-pop @p335 :rule scope :premises (@p334)) % 38.12/38.37 (step-pop @p336 :rule scope :premises (@p335)) % 38.12/38.37 (step-pop @p337 :rule scope :premises (@p336)) % 38.12/38.37 (step-pop @p338 :rule scope :premises (@p337)) % 38.12/38.37 (step-pop @p339 :rule scope :premises (@p338)) % 38.12/38.37 (step-pop @p340 :rule scope :premises (@p339)) % 38.12/38.37 (step-pop @p341 :rule scope :premises (@p340)) % 38.12/38.37 (step-pop @p342 :rule scope :premises (@p341)) % 38.12/38.37 (step-pop @p343 :rule scope :premises (@p342)) % 38.12/38.37 (step-pop @p344 :rule scope :premises (@p343)) % 38.12/38.37 (step-pop @p345 :rule scope :premises (@p344)) % 38.12/38.37 (step-pop @p346 :rule scope :premises (@p345)) % 38.12/38.37 (step-pop @p347 :rule scope :premises (@p346)) % 38.12/38.37 (step-pop @p348 :rule scope :premises (@p347)) % 38.12/38.37 (step @p290 :rule process_scope :premises (@p348) :args (@t171)) % 38.12/38.37 (step @p307 :rule implies_elim :premises (@p290)) % 38.12/38.37 (step @p308 :rule resolution :premises (@p307 @p268) :args (true @t171)) % 38.12/38.37 (step @p309 :rule not_and :premises (@p308)) % 38.12/38.37 (step @p310 :rule eq_resolve :premises (@p309 @p229)) % 38.12/38.37 (step @p311 :rule reordering :premises (@p310) :args ((or @t61 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t155))) % 38.12/38.37 (step @p312 false :rule chain_m_resolution :premises (@p311 @p212 @p204 @p188 @p180 @p165 @p158 @p139 @p116 @p113 @p97 @p90 @p83 @p66 @p48 @p24 @p26) :args (false (@list false false false false false false false false false false false false false false true false) (@list @t152 @t144 @t138 @t131 @t126 @t122 @t115 @t103 @t104 @t98 @t94 @t89 @t82 @t74 @t61 @t55))) % 38.12/38.37 ) % 38.12/38.37 % SZS output end Proof % 38.12/38.37 % cvc5 exiting %------------------------------------------------------------------------------