%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS257+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:29:11 AM UTC 2026 % Result : Theorem 28.74s 28.93s % Output : Proof 28.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS257+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n001.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:37:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 28.74/28.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.74/28.93 --- Run --no-e-matching --full-saturate-quant at 6... % 28.74/28.93 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.74/28.93 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.74/28.93 % SZS status Theorem % 28.74/28.93 % SZS output start Proof % 28.74/28.93 ( % 28.74/28.93 (declare-sort $$unsorted 0) % 28.74/28.93 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 28.74/28.93 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 28.74/28.93 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 28.74/28.93 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 28.74/28.93 (declare-const tptp.noc $$unsorted) % 28.74/28.93 (declare-const tptp.uns $$unsorted) % 28.74/28.93 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 28.74/28.93 (declare-const tptp.tca $$unsorted) % 28.74/28.93 (declare-const tptp.sca $$unsorted) % 28.74/28.93 (declare-const tptp.wth $$unsorted) % 28.74/28.93 (declare-const tptp.unp $$unsorted) % 28.74/28.93 (declare-const tptp.wca $$unsorted) % 28.74/28.93 (declare-const tptp.wec $$unsorted) % 28.74/28.93 (declare-const tptp.sap $$unsorted) % 28.74/28.93 (declare-const tptp.wtc $$unsorted) % 28.74/28.93 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 28.74/28.93 (declare-const tptp.sat $$unsorted) % 28.74/28.93 (declare-const tptp.cax $$unsorted) % 28.74/28.93 (declare-const tptp.eqv $$unsorted) % 28.74/28.93 (declare-const tptp.esa $$unsorted) % 28.74/28.93 (declare-const tptp.csa $$unsorted) % 28.74/28.93 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.74/28.93 (declare-const tptp.thm $$unsorted) % 28.74/28.93 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 28.74/28.93 (declare-const tptp.eth $$unsorted) % 28.74/28.93 (declare-const tptp.tac $$unsorted) % 28.74/28.93 (declare-const tptp.tau $$unsorted) % 28.74/28.93 (define @t1 () (@var "C" $$unsorted)) % 28.74/28.93 (define @t2 () (@var "Ax" $$unsorted)) % 28.74/28.93 (define @t3 () (@var "I2" $$unsorted)) % 28.74/28.93 (define @t4 () (tptp.model @t3 @t1)) % 28.74/28.93 (define @t5 () (@list @t3)) % 28.74/28.93 (define @t6 () (exists @t5 @t4)) % 28.74/28.93 (define @t7 () (@var "I1" $$unsorted)) % 28.74/28.93 (define @t8 () (tptp.model @t7 @t2)) % 28.74/28.93 (define @t9 () (@list @t7)) % 28.74/28.93 (define @t10 () (exists @t9 @t8)) % 28.74/28.93 (define @t11 () (not @t10)) % 28.74/28.93 (define @t12 () (@list @t2 @t1)) % 28.74/28.93 (define @t13 () (tptp.status @t2 @t1 tptp.sat)) % 28.74/28.93 (define @t14 () (tptp.model @t7 @t1)) % 28.74/28.93 (define @t15 () (and @t8 @t14)) % 28.74/28.93 (define @t16 () (exists @t9 @t15)) % 28.74/28.93 (define @t17 () (= @t16 @t13)) % 28.74/28.93 (define @t18 () (forall @t12 @t17)) % 28.74/28.93 (define @t19 () (tptp.status @t2 @t1 tptp.thm)) % 28.74/28.93 (define @t20 () (forall @t9 (=> @t8 @t14))) % 28.74/28.93 (define @t21 () (= @t20 @t19)) % 28.74/28.93 (define @t22 () (forall @t12 @t21)) % 28.74/28.93 (define @t23 () (tptp.model @t3 @t2)) % 28.74/28.93 (define @t24 () (forall @t5 @t4)) % 28.74/28.93 (define @t25 () (@var "I3" $$unsorted)) % 28.74/28.93 (define @t26 () (tptp.model @t25 @t2)) % 28.74/28.93 (define @t27 () (not @t26)) % 28.74/28.93 (define @t28 () (tptp.model @t25 @t1)) % 28.74/28.93 (define @t29 () (@list @t25)) % 28.74/28.93 (define @t30 () (exists @t29 (and @t28 @t27))) % 28.74/28.93 (define @t31 () (forall @t5 (=> @t23 @t4))) % 28.74/28.93 (define @t32 () (not @t23)) % 28.74/28.93 (define @t33 () (exists @t5 @t32)) % 28.74/28.93 (define @t34 () (@var "I4" $$unsorted)) % 28.74/28.93 (define @t35 () (tptp.model @t34 @t1)) % 28.74/28.93 (define @t36 () (not @t35)) % 28.74/28.93 (define @t37 () (@list @t34)) % 28.74/28.93 (define @t38 () (exists @t37 @t36)) % 28.74/28.93 (define @t39 () (not @t28)) % 28.74/28.93 (define @t40 () (tptp.not @t1)) % 28.74/28.93 (define @t41 () (tptp.model @t3 @t40)) % 28.74/28.93 (define @t42 () (@var "S2" $$unsorted)) % 28.74/28.93 (define @t43 () (@var "S1" $$unsorted)) % 28.74/28.93 (define @t44 () (tptp.mighta @t43 @t42)) % 28.74/28.93 (define @t45 () (tptp.status @t2 @t1 @t42)) % 28.74/28.93 (define @t46 () (tptp.status @t2 @t1 @t43)) % 28.74/28.93 (define @t47 () (and @t46 @t45)) % 28.74/28.93 (define @t48 () (exists @t12 @t47)) % 28.74/28.93 (define @t49 () (= @t48 @t44)) % 28.74/28.93 (define @t50 () (@list @t43 @t42)) % 28.74/28.93 (define @t51 () (forall @t50 @t49)) % 28.74/28.93 (define @t52 () (not @t45)) % 28.74/28.93 (define @t53 () (@var "F" $$unsorted)) % 28.74/28.93 (define @t54 () (@var "I" $$unsorted)) % 28.74/28.93 (define @t55 () (tptp.model @t54 (tptp.not @t53))) % 28.74/28.93 (define @t56 () (tptp.model @t54 @t53)) % 28.74/28.93 (define @t57 () (@list @t54 @t53)) % 28.74/28.93 (define @t58 () (@list @t54)) % 28.74/28.93 (define @t59 () (@list @t53)) % 28.74/28.93 (define @t60 () (and @t27 @t28)) % 28.74/28.93 (define @t61 () (exists @t29 @t60)) % 28.74/28.93 (define @t62 () (and @t10 @t31 @t61 @t38)) % 28.74/28.93 (define @t63 () (exists @t12 @t62)) % 28.74/28.93 (define @t64 () (not @t14)) % 28.74/28.93 (define @t65 () (tptp.mighta tptp.sat tptp.thm)) % 28.74/28.93 (define @t66 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 28.74/28.93 (define @t67 () (not (tptp.model @t66 @t1))) % 28.74/28.93 (define @t68 () (tptp.model @t66 @t2)) % 28.74/28.93 (define @t69 () (@var "BOUND_VARIABLE_7935" $$unsorted)) % 28.74/28.93 (define @t70 () (tptp.model @t69 @t1)) % 28.74/28.93 (define @t71 () (forall @t5 (or @t32 @t4))) % 28.74/28.93 (define @t72 () (not @t71)) % 28.74/28.93 (define @t73 () (@var "BOUND_VARIABLE_7925" $$unsorted)) % 28.74/28.93 (define @t74 () (not (tptp.model @t73 @t2))) % 28.74/28.93 (define @t75 () (or @t74 @t72 @t70 @t68 @t67)) % 28.74/28.93 (define @t76 () (or @t68 @t67)) % 28.74/28.93 (define @t77 () (or @t74 @t72 @t76 @t70)) % 28.74/28.93 (define @t78 () (@list @t2 @t1 @t73 @t66 @t69)) % 28.74/28.93 (define @t79 () (forall @t78 @t77)) % 28.74/28.93 (define @t80 () (forall (@list @t73 @t66 @t69) @t77)) % 28.74/28.93 (define @t81 () (forall (@list @t69) @t70)) % 28.74/28.93 (define @t82 () (forall (@list @t66) @t76)) % 28.74/28.93 (define @t83 () (forall (@list @t73) @t74)) % 28.74/28.93 (define @t84 () (or @t83 @t72 @t82 @t81)) % 28.74/28.93 (define @t85 () (forall @t37 @t35)) % 28.74/28.93 (define @t86 () (forall @t29 (or @t26 @t39))) % 28.74/28.93 (define @t87 () (not @t8)) % 28.74/28.93 (define @t88 () (forall @t9 @t87)) % 28.74/28.93 (define @t89 () (not @t85)) % 28.74/28.93 (define @t90 () (not @t89)) % 28.74/28.93 (define @t91 () (not @t86)) % 28.74/28.93 (define @t92 () (not @t91)) % 28.74/28.93 (define @t93 () (not @t88)) % 28.74/28.93 (define @t94 () (not @t93)) % 28.74/28.93 (define @t95 () (or @t94 @t72 @t92 @t90)) % 28.74/28.93 (define @t96 () (and @t93 @t71 @t91 @t89)) % 28.74/28.93 (define @t97 () (forall @t12 (not @t96))) % 28.74/28.93 (define @t98 () (not @t97)) % 28.74/28.93 (define @t99 () (forall @t37 (not @t36))) % 28.74/28.93 (define @t100 () (not @t99)) % 28.74/28.93 (define @t101 () (forall @t29 (not @t60))) % 28.74/28.93 (define @t102 () (not @t101)) % 28.74/28.93 (define @t103 () (forall @t78 @t75)) % 28.74/28.93 (define @t104 () (@quantifiers_skolemize @t103 0)) % 28.74/28.93 (define @t105 () (@quantifiers_skolemize @t103 2)) % 28.74/28.93 (define @t106 () (tptp.model @t105 @t104)) % 28.74/28.93 (define @t107 () (@quantifiers_skolemize @t103 1)) % 28.74/28.93 (define @t108 () (@quantifiers_skolemize @t103 3)) % 28.74/28.93 (define @t109 () (not @t106)) % 28.74/28.93 (define @t110 () (or @t109 (not (forall @t5 (or (not (tptp.model @t3 @t104)) (tptp.model @t3 @t107)))) (tptp.model (@quantifiers_skolemize @t103 4) @t107) (tptp.model @t108 @t104) (not (tptp.model @t108 @t107)))) % 28.74/28.93 (define @t111 () (not (forall @t9 (or @t87 @t64)))) % 28.74/28.93 (define @t112 () (forall @t9 (not @t15))) % 28.74/28.93 (define @t113 () (not @t112)) % 28.74/28.93 (define @t114 () (tptp.status @t104 @t104 tptp.sat)) % 28.74/28.93 (define @t115 () (tptp.model @t7 @t104)) % 28.74/28.93 (define @t116 () (not @t115)) % 28.74/28.93 (define @t117 () (forall @t9 @t116)) % 28.74/28.93 (define @t118 () (not @t117)) % 28.74/28.93 (define @t119 () (or @t116 @t116)) % 28.74/28.93 (define @t120 () (forall @t9 @t119)) % 28.74/28.93 (define @t121 () (not @t120)) % 28.74/28.93 (define @t122 () (= @t114 @t121)) % 28.74/28.93 (define @t123 () (forall @t12 (= @t13 @t111))) % 28.74/28.93 (define @t124 () (@list @t104 @t104)) % 28.74/28.93 (define @t125 () (= @t118 @t114)) % 28.74/28.93 (define @t126 () (@list false)) % 28.74/28.93 (define @t127 () (forall @t12 (not @t47))) % 28.74/28.93 (define @t128 () (not @t127)) % 28.74/28.93 (define @t129 () (forall @t12 (or (not @t13) (not @t19)))) % 28.74/28.93 (define @t130 () (not @t129)) % 28.74/28.93 (define @t131 () (= @t65 @t130)) % 28.74/28.93 (define @t132 () (not @t131)) % 28.74/28.93 (define @t133 () (@list true false)) % 28.74/28.93 (define @t134 () (forall @t9 (or @t87 @t14))) % 28.74/28.93 (define @t135 () (tptp.status @t104 @t104 tptp.thm)) % 28.74/28.93 (define @t136 () (forall @t9 (or @t116 @t115))) % 28.74/28.93 (define @t137 () (= @t135 @t136)) % 28.74/28.93 (define @t138 () (forall @t12 (= @t19 @t134))) % 28.74/28.93 (define @t139 () (not @t135)) % 28.74/28.93 (define @t140 () (not @t114)) % 28.74/28.93 (define @t141 () (or @t140 @t139)) % 28.74/28.93 (define @t142 () (@list false false)) % 28.74/28.93 (define @t143 () (not @t125)) % 28.74/28.93 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 28.74/28.93 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 28.74/28.93 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 28.74/28.93 (assume @p4 @t18) % 28.74/28.93 (assume @p5 @t22) % 28.74/28.93 (assume @p6 (forall @t12 (= (and @t10 (forall @t5 (= @t23 @t4))) (tptp.status @t2 @t1 tptp.eqv)))) % 28.74/28.93 (assume @p7 (forall @t12 (= (and @t10 @t24) (tptp.status @t2 @t1 tptp.tac)))) % 28.74/28.93 (assume @p8 (forall @t12 (= (and @t10 @t31 @t30) (tptp.status @t2 @t1 tptp.wec)))) % 28.74/28.93 (assume @p9 (forall @t12 (= (and @t10 @t33 (forall @t29 (= @t26 @t28))) (tptp.status @t2 @t1 tptp.eth)))) % 28.74/28.93 (assume @p10 (forall @t12 (= (forall @t9 @t15) (tptp.status @t2 @t1 tptp.tau)))) % 28.74/28.93 (assume @p11 (forall @t12 (= (and @t10 @t33 (forall @t29 @t28)) (tptp.status @t2 @t1 tptp.wtc)))) % 28.74/28.93 (assume @p12 (forall @t12 (= (and @t10 @t31 @t30 @t38) (tptp.status @t2 @t1 tptp.wth)))) % 28.74/28.93 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 28.74/28.93 (assume @p14 (forall @t12 (= (and @t11 @t6) (tptp.status @t2 @t1 tptp.sca)))) % 28.74/28.93 (assume @p15 (forall @t12 (= (and @t11 @t24) (tptp.status @t2 @t1 tptp.tca)))) % 28.74/28.93 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t29 @t39)) (tptp.status @t2 @t1 tptp.wca)))) % 28.74/28.93 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t40))) (tptp.status @t2 @t1 tptp.csa)))) % 28.74/28.93 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t41)) (tptp.status @t2 @t1 tptp.uns)))) % 28.74/28.93 (assume @p19 (forall @t12 (= (and @t16 (exists @t5 (and @t23 @t41))) (tptp.status @t2 @t1 tptp.noc)))) % 28.74/28.93 (assume @p20 @t51) % 28.74/28.93 (assume @p21 (forall @t50 (= (forall @t12 (=> @t46 @t45)) (tptp.isa @t43 @t42)))) % 28.74/28.93 (assume @p22 (forall @t50 (= (exists @t12 (and @t46 @t52)) (tptp.nota @t43 @t42)))) % 28.74/28.93 (assume @p23 (forall @t50 (= (forall @t12 (=> @t46 @t52)) (tptp.nevera @t43 @t42)))) % 28.74/28.93 (assume @p24 (forall @t50 (= (forall @t12 (xor @t46 @t45)) (tptp.xora @t43 @t42)))) % 28.74/28.93 (assume @p25 (forall @t57 (xor @t56 @t55))) % 28.74/28.93 (assume @p26 (forall @t57 (= @t56 (not @t55)))) % 28.74/28.93 (assume @p27 (exists @t59 (forall @t58 @t56))) % 28.74/28.93 (assume @p28 (exists @t59 (and (exists @t9 (tptp.model @t7 @t53)) (exists @t5 (not (tptp.model @t3 @t53)))))) % 28.74/28.93 (assume @p29 (exists @t59 (forall @t58 (not @t56)))) % 28.74/28.93 (assume @p30 (exists @t12 (and @t16 (exists @t5 (or @t32 (not @t4)))))) % 28.74/28.93 (assume @p31 @t63) % 28.74/28.93 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 @t64 @t6))) % 28.74/28.93 (assume @p33 (not @t65)) % 28.74/28.93 (assume @p34 true) % 28.74/28.93 (step @p35 :rule aci_norm :args ((= @t77 @t75))) % 28.74/28.93 (step @p36 :rule cong :premises (@p35) :args (@t79)) % 28.74/28.93 (step @p37 :rule quant-merge-prenex :args ((= (forall @t12 @t80) @t79))) % 28.74/28.93 (step @p38 :rule alpha_equiv :args (@t81 (@list @t69) (@list @t34))) % 28.74/28.93 (step @p39 :rule alpha_equiv :args (@t82 (@list @t66) (@list @t25))) % 28.74/28.93 (step @p40 :rule refl :args (@t72)) % 28.74/28.93 (step @p41 :rule alpha_equiv :args (@t83 (@list @t73) (@list @t7))) % 28.74/28.93 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39 @p38) :args (@t84)) % 28.74/28.93 (step @p43 :rule quant-miniscope-or :args ((= @t80 @t84))) % 28.74/28.93 (step @p44 :rule trans :premises (@p43 @p42)) % 28.74/28.93 (step @p45 :rule symm :premises (@p44)) % 28.74/28.93 (step @p46 :rule cong :premises (@p45) :args ((forall @t12 (or @t88 @t72 @t86 @t85)))) % 28.74/28.93 (step @p47 :rule trans :premises (@p46 @p37)) % 28.74/28.93 (step @p48 :rule trans :premises (@p47 @p36)) % 28.74/28.93 (step @p49 :rule bool-double-not-elim :args (@t85)) % 28.74/28.93 (step @p50 :rule bool-double-not-elim :args (@t86)) % 28.74/28.93 (step @p51 :rule bool-double-not-elim :args (@t88)) % 28.74/28.93 (step @p52 :rule nary_cong :premises (@p51 @p40 @p50 @p49) :args (@t95)) % 28.74/28.93 (step @p53 :rule aci_norm :args ((= (or @t94 (or @t72 (or @t92 @t90))) @t95))) % 28.74/28.93 (step @p54 :rule trans :premises (@p53 @p52)) % 28.74/28.93 (step @p55 :rule bool-and-de-morgan :args (@t91 @t89 true)) % 28.74/28.93 (step @p56 :rule nary_cong :premises (@p40 @p55) :args ((or @t72 (not (and @t91 @t89))))) % 28.74/28.93 (step @p57 :rule bool-and-de-morgan :args (@t71 @t91 (and @t89))) % 28.74/28.93 (step @p58 :rule trans :premises (@p57 @p56)) % 28.74/28.93 (step @p59 :rule refl :args (@t94)) % 28.74/28.93 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t94 (not (and @t71 @t91 @t89))))) % 28.74/28.93 (step @p61 :rule bool-and-de-morgan :args (@t93 @t71 (and @t91 @t89))) % 28.74/28.93 (step @p62 :rule trans :premises (@p61 @p60)) % 28.74/28.93 (step @p63 :rule trans :premises (@p62 @p54)) % 28.74/28.93 (step @p64 :rule cong :premises (@p63) :args (@t97)) % 28.74/28.93 (step @p65 :rule trans :premises (@p64 @p48)) % 28.74/28.93 (step @p66 :rule cong :premises (@p65) :args (@t98)) % 28.74/28.93 (step @p67 :rule exists-elim :args ((= (exists @t12 @t96) @t98))) % 28.74/28.93 (step @p68 :rule trans :premises (@p67 @p66)) % 28.74/28.93 (step @p69 :rule bool-double-not-elim :args (@t35)) % 28.74/28.93 (step @p70 :rule cong :premises (@p69) :args (@t99)) % 28.74/28.93 (step @p71 :rule cong :premises (@p70) :args (@t100)) % 28.74/28.93 (step @p72 :rule exists-elim :args ((= @t38 @t100))) % 28.74/28.93 (step @p73 :rule trans :premises (@p72 @p71)) % 28.74/28.93 (step @p74 :rule refl :args (@t39)) % 28.74/28.93 (step @p75 :rule bool-double-not-elim :args (@t26)) % 28.74/28.93 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t27) @t39))) % 28.74/28.93 (step @p77 :rule bool-and-de-morgan :args (@t27 @t28 true)) % 28.74/28.93 (step @p78 :rule trans :premises (@p77 @p76)) % 28.74/28.93 (step @p79 :rule cong :premises (@p78) :args (@t101)) % 28.74/28.93 (step @p80 :rule cong :premises (@p79) :args (@t102)) % 28.74/28.93 (step @p81 :rule exists-elim :args ((= @t61 @t102))) % 28.74/28.93 (step @p82 :rule trans :premises (@p81 @p80)) % 28.74/28.93 (step @p83 :rule bool-impl-elim :args (@t23 @t4)) % 28.74/28.93 (step @p84 :rule cong :premises (@p83) :args (@t31)) % 28.74/28.93 (step @p85 :rule exists-elim :args ((= @t10 @t93))) % 28.74/28.93 (step @p86 :rule nary_cong :premises (@p85 @p84 @p82 @p73) :args (@t62)) % 28.74/28.93 (step @p87 :rule cong :premises (@p86) :args (@t63)) % 28.74/28.93 (step @p88 :rule trans :premises (@p87 @p68)) % 28.74/28.93 (step @p89 :rule eq_resolve :premises (@p31 @p88)) % 28.74/28.93 (step @p90 :rule skolemize :premises (@p89)) % 28.74/28.93 (step @p91 :rule bool-double-not-elim :args (@t106)) % 28.74/28.93 (step @p92 :rule refl :args (@t110)) % 28.74/28.93 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t110 (not @t109)))) % 28.74/28.93 (step @p94 :rule cnf_or_neg :args (@t110 0)) % 28.74/28.93 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 28.74/28.93 (step @p96 :rule reordering :premises (@p95) :args ((or @t106 @t110))) % 28.74/28.93 (step @p97 :rule chain_m_resolution :premises (@p96 @p90) :args (@t106 (@list true) (@list @t110))) % 28.74/28.93 (step @p98 :rule eq-symm :args (@t111 @t13)) % 28.74/28.93 (step @p99 :rule refl :args (@t13)) % 28.74/28.93 (step @p100 :rule bool-and-de-morgan :args (@t8 @t14 true)) % 28.74/28.93 (step @p101 :rule cong :premises (@p100) :args (@t112)) % 28.74/28.93 (step @p102 :rule cong :premises (@p101) :args (@t113)) % 28.74/28.93 (step @p103 :rule exists-elim :args ((= @t16 @t113))) % 28.74/28.93 (step @p104 :rule trans :premises (@p103 @p102)) % 28.74/28.93 (step @p105 :rule cong :premises (@p104 @p99) :args (@t17)) % 28.74/28.93 (step @p106 :rule trans :premises (@p105 @p98)) % 28.74/28.93 (step @p107 :rule cong :premises (@p106) :args (@t18)) % 28.74/28.93 (step @p108 :rule eq_resolve :premises (@p4 @p107)) % 28.74/28.93 (step @p109 :rule eq-symm :args (@t114 @t118)) % 28.74/28.93 (step @p110 :rule aci_norm :args ((= @t119 @t116))) % 28.74/28.93 (step @p111 :rule cong :premises (@p110) :args (@t120)) % 28.74/28.93 (step @p112 :rule cong :premises (@p111) :args (@t121)) % 28.74/28.93 (step @p113 :rule refl :args (@t114)) % 28.74/28.93 (step @p114 :rule cong :premises (@p113 @p112) :args (@t122)) % 28.74/28.93 (step @p115 :rule trans :premises (@p114 @p109)) % 28.74/28.93 (step @p116 :rule refl :args (@t123)) % 28.74/28.93 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t123 @t122))) % 28.74/28.93 (assume-push @p188 @t123) % 28.74/28.93 (step @p119 :rule instantiate :premises (@p108) :args (@t124)) % 28.74/28.93 (step-pop @p189 :rule scope :premises (@p119)) % 28.74/28.93 (step @p120 :rule process_scope :premises (@p189) :args (@t122)) % 28.74/28.93 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 28.74/28.93 (step @p123 :rule implies_elim :premises (@p122)) % 28.74/28.93 (step @p124 :rule chain_m_resolution :premises (@p123 @p108) :args (@t125 @t126 (@list @t123))) % 28.74/28.93 (step @p125 :rule eq-symm :args ((not (forall @t12 (or (not @t46) @t52))) @t44)) % 28.74/28.93 (step @p126 :rule refl :args (@t44)) % 28.74/28.93 (step @p127 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 28.74/28.93 (step @p128 :rule cong :premises (@p127) :args (@t127)) % 28.74/28.93 (step @p129 :rule cong :premises (@p128) :args (@t128)) % 28.74/28.93 (step @p130 :rule exists-elim :args ((= @t48 @t128))) % 28.74/28.93 (step @p131 :rule trans :premises (@p130 @p129)) % 28.74/28.93 (step @p132 :rule cong :premises (@p131 @p126) :args (@t49)) % 28.74/28.93 (step @p133 :rule trans :premises (@p132 @p125)) % 28.74/28.93 (step @p134 :rule cong :premises (@p133) :args (@t51)) % 28.74/28.93 (step @p135 :rule eq_resolve :premises (@p20 @p134)) % 28.74/28.93 (step @p136 :rule instantiate :premises (@p135) :args ((@list tptp.sat tptp.thm))) % 28.74/28.93 (step @p137 :rule bool-double-not-elim :args (@t129)) % 28.74/28.93 (step @p138 :rule refl :args (@t65)) % 28.74/28.93 (step @p139 :rule refl :args (@t132)) % 28.74/28.93 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args ((or @t132 @t65 (not @t130)))) % 28.74/28.93 (step @p141 :rule cnf_equiv_pos2 :args (@t131)) % 28.74/28.93 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 28.74/28.93 (step @p143 :rule reordering :premises (@p142) :args ((or @t65 @t129 @t132))) % 28.74/28.93 (step @p144 :rule chain_m_resolution :premises (@p143 @p33 @p136) :args (@t129 @t133 (@list @t65 @t131))) % 28.74/28.93 (step @p145 :rule instantiate :premises (@p144) :args (@t124)) % 28.74/28.93 (step @p146 :rule eq-symm :args (@t134 @t19)) % 28.74/28.93 (step @p147 :rule refl :args (@t19)) % 28.74/28.93 (step @p148 :rule bool-impl-elim :args (@t8 @t14)) % 28.74/28.93 (step @p149 :rule cong :premises (@p148) :args (@t20)) % 28.74/28.93 (step @p150 :rule cong :premises (@p149 @p147) :args (@t21)) % 28.74/28.93 (step @p151 :rule trans :premises (@p150 @p146)) % 28.74/28.93 (step @p152 :rule cong :premises (@p151) :args (@t22)) % 28.74/28.93 (step @p153 :rule eq_resolve :premises (@p5 @p152)) % 28.74/28.93 (step @p154 :rule bool-eq-true :args (@t135)) % 28.74/28.93 (step @p155 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 28.74/28.93 (step @p156 :rule bool-or-taut2 :args (false @t115 false false)) % 28.74/28.93 (step @p157 :rule cong :premises (@p156) :args (@t136)) % 28.74/28.93 (step @p158 :rule trans :premises (@p157 @p155)) % 28.74/28.93 (step @p159 :rule refl :args (@t135)) % 28.74/28.93 (step @p160 :rule cong :premises (@p159 @p158) :args (@t137)) % 28.74/28.93 (step @p161 :rule trans :premises (@p160 @p154)) % 28.74/28.93 (step @p162 :rule refl :args (@t138)) % 28.74/28.93 (step @p163 :rule cong :premises (@p162 @p161) :args ((=> @t138 @t137))) % 28.74/28.93 (assume-push @p190 @t138) % 28.74/28.93 (step @p165 :rule instantiate :premises (@p153) :args (@t124)) % 28.74/28.93 (step-pop @p191 :rule scope :premises (@p165)) % 28.74/28.93 (step @p166 :rule process_scope :premises (@p191) :args (@t137)) % 28.74/28.93 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 28.74/28.93 (step @p169 :rule implies_elim :premises (@p168)) % 28.74/28.93 (step @p170 :rule chain_m_resolution :premises (@p169 @p153) :args (@t135 @t126 (@list @t138))) % 28.74/28.93 (step @p171 :rule cnf_or_pos :args (@t141)) % 28.74/28.93 (step @p172 :rule reordering :premises (@p171) :args ((or @t140 @t139 (not @t141)))) % 28.74/28.93 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p145) :args (@t140 @t142 (@list @t135 @t141))) % 28.74/28.93 (step @p174 :rule bool-double-not-elim :args (@t117)) % 28.74/28.93 (step @p175 :rule refl :args (@t143)) % 28.74/28.93 (step @p176 :rule nary_cong :premises (@p175 @p174 @p113) :args ((or @t143 (not @t118) @t114))) % 28.74/28.93 (step @p177 :rule cnf_equiv_pos1 :args (@t125)) % 28.74/28.93 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 28.74/28.93 (step @p179 :rule reordering :premises (@p178) :args ((or @t117 @t114 @t143))) % 28.74/28.93 (step @p180 :rule chain_m_resolution :premises (@p179 @p173 @p124) :args (@t117 @t133 (@list @t114 @t125))) % 28.74/28.93 (assume-push @p192 @t117) % 28.74/28.93 (step @p182 :rule instantiate :premises (@p180) :args ((@list @t105))) % 28.74/28.93 (step-pop @p193 :rule scope :premises (@p182)) % 28.74/28.93 (step @p183 :rule process_scope :premises (@p193) :args (@t109)) % 28.74/28.93 (step @p185 :rule implies_elim :premises (@p183)) % 28.74/28.93 (step @p186 :rule reordering :premises (@p185) :args ((or @t109 @t118))) % 28.74/28.93 (step @p187 false :rule chain_m_resolution :premises (@p186 @p180 @p97) :args (false @t142 (@list @t117 @t106))) % 28.74/28.93 ) % 28.74/28.93 % SZS output end Proof % 28.74/28.93 % cvc5 exiting %------------------------------------------------------------------------------