%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM463+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 : n012.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 08:39:30 AM UTC 2026 % Result : Theorem 0.16s 0.41s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM463+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:21:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.41 % SZS status Theorem % 0.16/0.41 % SZS output start Proof % 0.16/0.41 ( % 0.16/0.41 (declare-sort $$unsorted 0) % 0.16/0.41 (declare-const tptp.xm $$unsorted) % 0.16/0.41 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.xn $$unsorted) % 0.16/0.41 (declare-const tptp.sz10 $$unsorted) % 0.16/0.41 (declare-const tptp.sz00 $$unsorted) % 0.16/0.41 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.16/0.41 (define @t1 () (@var "W0" $$unsorted)) % 0.16/0.41 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.16/0.41 (define @t3 () (@list @t1)) % 0.16/0.41 (define @t4 () (tptp.aNaturalNumber0 tptp.sz10)) % 0.16/0.41 (define @t5 () (@var "W1" $$unsorted)) % 0.16/0.41 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.16/0.41 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.16/0.41 (define @t8 () (and @t2 @t7)) % 0.16/0.41 (define @t9 () (@list @t1 @t5)) % 0.16/0.41 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.16/0.41 (define @t11 () (tptp.aNaturalNumber0 @t10)) % 0.16/0.41 (define @t12 () (forall @t9 (=> @t8 @t11))) % 0.16/0.41 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 0.16/0.41 (define @t14 () (@var "W2" $$unsorted)) % 0.16/0.41 (define @t15 () (tptp.sdtpldt0 @t5 @t14)) % 0.16/0.41 (define @t16 () (tptp.aNaturalNumber0 @t14)) % 0.16/0.41 (define @t17 () (and @t2 @t7 @t16)) % 0.16/0.41 (define @t18 () (@list @t1 @t5 @t14)) % 0.16/0.41 (define @t19 () (tptp.sdtasdt0 @t5 @t1)) % 0.16/0.41 (define @t20 () (= @t10 @t19)) % 0.16/0.41 (define @t21 () (forall @t9 (=> @t8 @t20))) % 0.16/0.41 (define @t22 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 0.16/0.41 (define @t23 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 0.16/0.41 (define @t24 () (and (= @t23 @t1) @t22)) % 0.16/0.41 (define @t25 () (=> @t2 @t24)) % 0.16/0.41 (define @t26 () (forall @t3 @t25)) % 0.16/0.41 (define @t27 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 0.16/0.41 (define @t28 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 0.16/0.41 (define @t29 () (and (= @t28 tptp.sz00) @t27)) % 0.16/0.41 (define @t30 () (=> @t2 @t29)) % 0.16/0.41 (define @t31 () (forall @t3 @t30)) % 0.16/0.41 (define @t32 () (tptp.sdtasdt0 @t14 @t1)) % 0.16/0.41 (define @t33 () (tptp.sdtasdt0 @t1 @t14)) % 0.16/0.41 (define @t34 () (= @t5 @t14)) % 0.16/0.41 (define @t35 () (tptp.sdtpldt0 @t14 @t1)) % 0.16/0.41 (define @t36 () (tptp.sdtpldt0 @t1 @t14)) % 0.16/0.41 (define @t37 () (= @t19 @t32)) % 0.16/0.41 (define @t38 () (= @t10 @t33)) % 0.16/0.41 (define @t39 () (and @t7 @t16)) % 0.16/0.41 (define @t40 () (= @t1 tptp.sz00)) % 0.16/0.41 (define @t41 () (not @t40)) % 0.16/0.41 (define @t42 () (= @t5 tptp.sz00)) % 0.16/0.41 (define @t43 () (and @t16 (= @t36 @t5))) % 0.16/0.41 (define @t44 () (@list @t14)) % 0.16/0.41 (define @t45 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.16/0.41 (define @t46 () (= @t1 @t5)) % 0.16/0.41 (define @t47 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.16/0.41 (define @t48 () (tptp.sdtlseqdt0 @t5 @t14)) % 0.16/0.41 (define @t49 () (not (= @t5 @t1))) % 0.16/0.41 (define @t50 () (and @t49 @t47)) % 0.16/0.41 (define @t51 () (or @t45 @t50)) % 0.16/0.41 (define @t52 () (=> @t8 @t51)) % 0.16/0.41 (define @t53 () (forall @t9 @t52)) % 0.16/0.41 (define @t54 () (tptp.sdtpldt0 @t14 @t5)) % 0.16/0.41 (define @t55 () (not @t46)) % 0.16/0.41 (define @t56 () (and (not @t38) (tptp.sdtlseqdt0 @t10 @t33) (not @t37) (tptp.sdtlseqdt0 @t19 @t32))) % 0.16/0.41 (define @t57 () (not @t34)) % 0.16/0.41 (define @t58 () (and @t41 @t57 @t48)) % 0.16/0.41 (define @t59 () (=> @t58 @t56)) % 0.16/0.41 (define @t60 () (forall @t18 (=> @t17 @t59))) % 0.16/0.41 (define @t61 () (tptp.sdtlseqdt0 tptp.sz10 @t1)) % 0.16/0.41 (define @t62 () (not (= tptp.sz10 @t1))) % 0.16/0.41 (define @t63 () (and @t62 @t61)) % 0.16/0.41 (define @t64 () (= @t1 tptp.sz10)) % 0.16/0.41 (define @t65 () (or @t40 @t64 @t63)) % 0.16/0.41 (define @t66 () (=> @t2 @t65)) % 0.16/0.41 (define @t67 () (forall @t3 @t66)) % 0.16/0.41 (define @t68 () (tptp.aNaturalNumber0 tptp.xn)) % 0.16/0.41 (define @t69 () (tptp.aNaturalNumber0 tptp.xm)) % 0.16/0.41 (define @t70 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 0.16/0.41 (define @t71 () (tptp.sdtlseqdt0 tptp.xn @t70)) % 0.16/0.41 (define @t72 () (= tptp.xm tptp.sz00)) % 0.16/0.41 (define @t73 () (not @t72)) % 0.16/0.41 (define @t74 () (=> @t73 @t71)) % 0.16/0.41 (define @t75 () (not @t74)) % 0.16/0.41 (define @t76 () (and (= @t1 @t23) @t22)) % 0.16/0.41 (define @t77 () (tptp.sdtasdt0 tptp.sz10 tptp.xn)) % 0.16/0.41 (define @t78 () (tptp.sdtasdt0 tptp.xn tptp.sz10)) % 0.16/0.41 (define @t79 () (= tptp.xn @t78)) % 0.16/0.41 (define @t80 () (and @t79 (= tptp.xn @t77))) % 0.16/0.41 (define @t81 () (not @t68)) % 0.16/0.41 (define @t82 () (or @t81 @t80)) % 0.16/0.41 (define @t83 () (@list false false)) % 0.16/0.41 (define @t84 () (@list false)) % 0.16/0.41 (define @t85 () (not @t48)) % 0.16/0.41 (define @t86 () (not @t16)) % 0.16/0.41 (define @t87 () (not @t7)) % 0.16/0.41 (define @t88 () (not @t2)) % 0.16/0.41 (define @t89 () (or @t88 @t87 @t86 @t40 @t34 @t85 @t56)) % 0.16/0.41 (define @t90 () (or @t40 @t34 @t85 @t56)) % 0.16/0.41 (define @t91 () (or @t88 @t87 @t86)) % 0.16/0.41 (define @t92 () (not @t57)) % 0.16/0.41 (define @t93 () (not @t41)) % 0.16/0.41 (define @t94 () (or @t93 @t92 @t85)) % 0.16/0.41 (define @t95 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 0.16/0.41 (define @t96 () (tptp.sdtlseqdt0 @t77 @t95)) % 0.16/0.41 (define @t97 () (not (= @t77 @t95))) % 0.16/0.41 (define @t98 () (tptp.sdtlseqdt0 @t78 @t70)) % 0.16/0.41 (define @t99 () (not (= @t78 @t70))) % 0.16/0.41 (define @t100 () (and @t99 @t98 @t97 @t96)) % 0.16/0.41 (define @t101 () (tptp.sdtlseqdt0 tptp.sz10 tptp.xm)) % 0.16/0.41 (define @t102 () (not @t101)) % 0.16/0.41 (define @t103 () (= tptp.sz10 tptp.xm)) % 0.16/0.41 (define @t104 () (not @t69)) % 0.16/0.41 (define @t105 () (not @t4)) % 0.16/0.41 (define @t106 () (or @t81 @t105 @t104 (= tptp.xn tptp.sz00) @t103 @t102 @t100)) % 0.16/0.41 (define @t107 () (forall @t18 @t89)) % 0.16/0.41 (define @t108 () (and (not (= @t70 @t78)) @t98 (not (= @t95 @t77)) @t96)) % 0.16/0.41 (define @t109 () (= tptp.sz00 tptp.xn)) % 0.16/0.41 (define @t110 () (or @t81 @t105 @t104 @t109 @t103 @t102 @t108)) % 0.16/0.41 (define @t111 () (and (not @t64) @t61)) % 0.16/0.41 (define @t112 () (or @t88 @t40 @t64 @t111)) % 0.16/0.41 (define @t113 () (or @t40 @t64 @t111)) % 0.16/0.41 (define @t114 () (= tptp.xm tptp.sz10)) % 0.16/0.41 (define @t115 () (not @t114)) % 0.16/0.41 (define @t116 () (and @t115 @t101)) % 0.16/0.41 (define @t117 () (or @t104 @t72 @t114 @t116)) % 0.16/0.41 (define @t118 () (forall @t3 @t112)) % 0.16/0.41 (define @t119 () (@list tptp.xm)) % 0.16/0.41 (define @t120 () (not @t103)) % 0.16/0.41 (define @t121 () (and @t120 @t101)) % 0.16/0.41 (define @t122 () (= tptp.sz00 tptp.xm)) % 0.16/0.41 (define @t123 () (or @t104 @t122 @t103 @t121)) % 0.16/0.41 (define @t124 () (and @t55 @t47)) % 0.16/0.41 (define @t125 () (or @t45 @t124)) % 0.16/0.41 (define @t126 () (or @t88 @t87)) % 0.16/0.41 (define @t127 () (not @t8)) % 0.16/0.41 (define @t128 () (@list tptp.xn tptp.xm)) % 0.16/0.41 (define @t129 () (tptp.aNaturalNumber0 @t70)) % 0.16/0.41 (define @t130 () (or @t81 @t104 @t129)) % 0.16/0.41 (define @t131 () (@list false false false)) % 0.16/0.41 (define @t132 () (= tptp.xn @t70)) % 0.16/0.41 (define @t133 () (not @t132)) % 0.16/0.41 (define @t134 () (and @t133 (tptp.sdtlseqdt0 @t70 tptp.xn))) % 0.16/0.41 (define @t135 () (not @t129)) % 0.16/0.41 (define @t136 () (or @t81 @t135 @t71 @t134)) % 0.16/0.41 (define @t137 () (and @t79 @t103)) % 0.16/0.41 (define @t138 () (not @t79)) % 0.16/0.41 (define @t139 () (and (= tptp.sz00 @t28) @t27)) % 0.16/0.41 (define @t140 () (tptp.sdtasdt0 tptp.xm tptp.sz00)) % 0.16/0.41 (define @t141 () (= tptp.sz00 @t140)) % 0.16/0.41 (define @t142 () (and @t141 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm)))) % 0.16/0.41 (define @t143 () (or @t104 @t142)) % 0.16/0.41 (define @t144 () (= @t70 @t95)) % 0.16/0.41 (define @t145 () (or @t81 @t104 @t144)) % 0.16/0.41 (define @t146 () (and @t144 @t141 @t109)) % 0.16/0.41 (define @t147 () (not @t109)) % 0.16/0.41 (define @t148 () (not @t98)) % 0.16/0.41 (define @t149 () (not @t71)) % 0.16/0.41 (define @t150 () (and @t98 @t79 @t149)) % 0.16/0.41 (assume @p1 (forall @t3 (=> @t2 true))) % 0.16/0.41 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.16/0.41 (assume @p3 (and @t4 (not (= tptp.sz10 tptp.sz00)))) % 0.16/0.41 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 0.16/0.41 (assume @p5 @t12) % 0.16/0.41 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t13)))) % 0.16/0.41 (assume @p7 (forall @t18 (=> @t17 (= (tptp.sdtpldt0 @t6 @t14) (tptp.sdtpldt0 @t1 @t15))))) % 0.16/0.41 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.16/0.41 (assume @p9 @t21) % 0.16/0.41 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t10 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t14)))))) % 0.16/0.41 (assume @p11 @t26) % 0.16/0.41 (assume @p12 @t31) % 0.16/0.41 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t10 @t33)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t19 @t32)))))) % 0.16/0.41 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t6 @t36) (= @t13 @t35)) @t34)))) % 0.16/0.41 (assume @p15 (forall @t3 (=> @t2 (=> @t41 (forall (@list @t5 @t14) (=> @t39 (=> (or @t38 @t37) @t34))))))) % 0.16/0.41 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t40 @t42))))) % 0.16/0.41 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t40 @t42))))) % 0.16/0.41 (assume @p18 (forall @t9 (=> @t8 (= @t45 (exists @t44 @t43))))) % 0.16/0.41 (assume @p19 (forall @t9 (=> @t8 (=> @t45 (forall @t44 (= (= @t14 (tptp.sdtmndt0 @t5 @t1)) @t43)))))) % 0.16/0.41 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.16/0.41 (assume @p21 (forall @t9 (=> @t8 (=> (and @t45 @t47) @t46)))) % 0.16/0.41 (assume @p22 (forall @t18 (=> @t17 (=> (and @t45 @t48) (tptp.sdtlseqdt0 @t1 @t14))))) % 0.16/0.41 (assume @p23 @t53) % 0.16/0.41 (assume @p24 (forall @t9 (=> @t8 (=> (and @t55 @t45) (forall @t44 (=> @t16 (and (not (= @t35 @t54)) (tptp.sdtlseqdt0 @t35 @t54) (not (= @t36 @t15)) (tptp.sdtlseqdt0 @t36 @t15)))))))) % 0.16/0.41 (assume @p25 @t60) % 0.16/0.41 (assume @p26 @t67) % 0.16/0.41 (assume @p27 (and @t69 @t68)) % 0.16/0.41 (assume @p28 @t75) % 0.16/0.41 (assume @p29 true) % 0.16/0.41 (step @p30 :rule refl :args (@t71)) % 0.16/0.41 (step @p31 :rule eq-symm :args (tptp.xm tptp.sz00)) % 0.16/0.41 (step @p32 :rule cong :premises (@p31) :args (@t73)) % 0.16/0.41 (step @p33 :rule cong :premises (@p32 @p30) :args (@t74)) % 0.16/0.41 (step @p34 :rule cong :premises (@p33) :args (@t75)) % 0.16/0.41 (step @p35 :rule eq_resolve :premises (@p28 @p34)) % 0.16/0.41 (step @p36 :rule not_implies_elim2 :premises (@p35)) % 0.16/0.41 (step @p37 :rule bool-impl-elim :args (@t2 @t76)) % 0.16/0.41 (step @p38 :rule cong :premises (@p37) :args ((forall @t3 (=> @t2 @t76)))) % 0.16/0.41 (step @p39 :rule refl :args (@t22)) % 0.16/0.41 (step @p40 :rule eq-symm :args (@t23 @t1)) % 0.16/0.41 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t24)) % 0.16/0.41 (step @p42 :rule refl :args (@t2)) % 0.16/0.41 (step @p43 :rule cong :premises (@p42 @p41) :args (@t25)) % 0.16/0.41 (step @p44 :rule cong :premises (@p43) :args (@t26)) % 0.16/0.41 (step @p45 :rule trans :premises (@p44 @p38)) % 0.16/0.41 (step @p46 :rule eq_resolve :premises (@p11 @p45)) % 0.16/0.41 (step @p47 :rule instantiate :premises (@p46) :args ((@list tptp.xn))) % 0.16/0.41 (step @p48 :rule and_elim :premises (@p27) :args (1)) % 0.16/0.41 (step @p49 :rule cnf_or_pos :args (@t82)) % 0.16/0.41 (step @p50 :rule reordering :premises (@p49) :args ((or @t81 @t80 (not @t82)))) % 0.16/0.41 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p47) :args (@t80 @t83 (@list @t68 @t82))) % 0.16/0.41 (step @p52 :rule cnf_and_pos :args (@t80 0)) % 0.16/0.41 (step @p53 :rule reordering :premises (@p52) :args ((or @t79 (not @t80)))) % 0.16/0.41 (step @p54 :rule chain_m_resolution :premises (@p53 @p51) :args (@t79 @t84 (@list @t80))) % 0.16/0.41 (step @p55 :rule aci_norm :args ((= (or @t91 @t90) @t89))) % 0.16/0.41 (step @p56 :rule aci_norm :args ((= (or (or @t40 @t34 @t85) @t56) @t90))) % 0.16/0.41 (step @p57 :rule refl :args (@t56)) % 0.16/0.41 (step @p58 :rule refl :args (@t85)) % 0.16/0.41 (step @p59 :rule bool-double-not-elim :args (@t34)) % 0.16/0.41 (step @p60 :rule bool-double-not-elim :args (@t40)) % 0.16/0.41 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t94)) % 0.16/0.41 (step @p62 :rule aci_norm :args ((= (or @t93 (or @t92 @t85)) @t94))) % 0.16/0.41 (step @p63 :rule trans :premises (@p62 @p61)) % 0.16/0.41 (step @p64 :rule bool-and-de-morgan :args (@t57 @t48 true)) % 0.16/0.41 (step @p65 :rule refl :args (@t93)) % 0.16/0.41 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t93 (not (and @t57 @t48))))) % 0.16/0.41 (step @p67 :rule bool-and-de-morgan :args (@t41 @t57 (and @t48))) % 0.16/0.41 (step @p68 :rule trans :premises (@p67 @p66)) % 0.16/0.41 (step @p69 :rule trans :premises (@p68 @p63)) % 0.16/0.41 (step @p70 :rule nary_cong :premises (@p69 @p57) :args ((or (not @t58) @t56))) % 0.16/0.41 (step @p71 :rule trans :premises (@p70 @p56)) % 0.16/0.41 (step @p72 :rule bool-impl-elim :args (@t58 @t56)) % 0.16/0.41 (step @p73 :rule trans :premises (@p72 @p71)) % 0.16/0.41 (step @p74 :rule aci_norm :args ((= (or @t88 (or @t87 @t86)) @t91))) % 0.16/0.41 (step @p75 :rule bool-and-de-morgan :args (@t7 @t16 true)) % 0.16/0.41 (step @p76 :rule refl :args (@t88)) % 0.16/0.41 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t88 (not @t39)))) % 0.16/0.41 (step @p78 :rule bool-and-de-morgan :args (@t2 @t7 (and @t16))) % 0.16/0.41 (step @p79 :rule trans :premises (@p78 @p77)) % 0.16/0.41 (step @p80 :rule trans :premises (@p79 @p74)) % 0.16/0.41 (step @p81 :rule nary_cong :premises (@p80 @p73) :args ((or (not @t17) @t59))) % 0.16/0.41 (step @p82 :rule trans :premises (@p81 @p55)) % 0.16/0.41 (step @p83 :rule 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(step @p143 :rule trans :premises (@p142 @p139)) % 0.16/0.41 (step @p144 :rule bool-impl-elim :args (@t8 @t125)) % 0.16/0.41 (step @p145 :rule trans :premises (@p144 @p143)) % 0.16/0.41 (step @p146 :rule cong :premises (@p145) :args ((forall @t9 (=> @t8 @t125)))) % 0.16/0.41 (step @p147 :rule refl :args (@t47)) % 0.16/0.41 (step @p148 :rule eq-symm :args (@t5 @t1)) % 0.16/0.41 (step @p149 :rule cong :premises (@p148) :args (@t49)) % 0.16/0.41 (step @p150 :rule nary_cong :premises (@p149 @p147) :args (@t50)) % 0.16/0.41 (step @p151 :rule refl :args (@t45)) % 0.16/0.41 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t51)) % 0.16/0.41 (step @p153 :rule refl :args (@t8)) % 0.16/0.41 (step @p154 :rule cong :premises (@p153 @p152) :args (@t52)) % 0.16/0.41 (step @p155 :rule cong :premises (@p154) :args (@t53)) % 0.16/0.41 (step @p156 :rule trans :premises (@p155 @p146)) % 0.16/0.41 (step @p157 :rule eq_resolve :premises (@p23 @p156)) % 0.16/0.41 (step @p158 :rule instantiate 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0.16/0.41 (step-pop @p307 :rule scope :premises (@p306)) % 0.16/0.41 (step @p185 :rule process_scope :premises (@p307) :args (@t132)) % 0.16/0.41 (step @p188 :rule and_intro :premises (@p303 @p54)) % 0.16/0.41 (step @p189 :rule modus_ponens :premises (@p188 @p185)) % 0.16/0.41 (step-pop @p308 :rule scope :premises (@p189)) % 0.16/0.41 (step-pop @p309 :rule scope :premises (@p308)) % 0.16/0.41 (step @p190 :rule process_scope :premises (@p309) :args (@t132)) % 0.16/0.41 (step @p193 :rule implies_elim :premises (@p190)) % 0.16/0.41 (step @p194 :rule cnf_and_neg :args (@t137)) % 0.16/0.41 (step @p195 :rule resolution :premises (@p194 @p193) :args (true @t137)) % 0.16/0.41 (step @p196 :rule reordering :premises (@p195) :args ((or @t132 @t120 @t138))) % 0.16/0.41 (step @p197 :rule chain_m_resolution :premises (@p196 @p177 @p54) :args (@t120 (@list true false) (@list @t132 @t79))) % 0.16/0.41 (step @p198 :rule not_implies_elim1 :premises (@p35)) % 0.16/0.41 (step @p199 :rule cnf_or_pos :args (@t123)) % 0.16/0.41 (step @p200 :rule reordering :premises (@p199) :args ((or @t122 @t104 @t103 @t121 (not @t123)))) % 0.16/0.41 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p168 @p197 @p138) :args (@t121 (@list true false true false) (@list @t122 @t69 @t103 @t123))) % 0.16/0.41 (step @p202 :rule cnf_and_pos :args (@t121 1)) % 0.16/0.41 (step @p203 :rule reordering :premises (@p202) :args ((or @t101 (not @t121)))) % 0.16/0.41 (step @p204 :rule chain_m_resolution :premises (@p203 @p201) :args (@t101 @t84 (@list @t121))) % 0.16/0.41 (step @p205 :rule bool-impl-elim :args (@t2 @t139)) % 0.16/0.41 (step @p206 :rule cong :premises (@p205) :args ((forall @t3 (=> @t2 @t139)))) % 0.16/0.41 (step @p207 :rule refl :args (@t27)) % 0.16/0.41 (step @p208 :rule eq-symm :args (@t28 tptp.sz00)) % 0.16/0.41 (step @p209 :rule nary_cong :premises (@p208 @p207) :args (@t29)) % 0.16/0.41 (step @p210 :rule cong :premises (@p42 @p209) :args (@t30)) % 0.16/0.41 (step @p211 :rule cong :premises (@p210) :args (@t31)) % 0.16/0.41 (step @p212 :rule trans :premises (@p211 @p206)) % 0.16/0.41 (step @p213 :rule eq_resolve :premises (@p12 @p212)) % 0.16/0.41 (step @p214 :rule instantiate :premises (@p213) :args (@t119)) % 0.16/0.41 (step @p215 :rule cnf_or_pos :args (@t143)) % 0.16/0.41 (step @p216 :rule reordering :premises (@p215) :args ((or @t104 @t142 (not @t143)))) % 0.16/0.41 (step @p217 :rule chain_m_resolution :premises (@p216 @p168 @p214) :args (@t142 @t83 (@list @t69 @t143))) % 0.16/0.41 (step @p218 :rule cnf_and_pos :args (@t142 0)) % 0.16/0.41 (step @p219 :rule reordering :premises (@p218) :args ((or @t141 (not @t142)))) % 0.16/0.41 (step @p220 :rule chain_m_resolution :premises (@p219 @p217) :args (@t141 @t84 (@list @t142))) % 0.16/0.41 (step @p221 :rule aci_norm :args ((= (or @t126 @t20) (or @t88 @t87 @t20)))) % 0.16/0.41 (step @p222 :rule refl :args (@t20)) % 0.16/0.41 (step @p223 :rule nary_cong :premises (@p141 @p222) :args ((or @t127 @t20))) % 0.16/0.41 (step @p224 :rule trans :premises (@p223 @p221)) % 0.16/0.41 (step @p225 :rule bool-impl-elim :args (@t8 @t20)) % 0.16/0.41 (step @p226 :rule trans :premises (@p225 @p224)) % 0.16/0.41 (step @p227 :rule cong :premises (@p226) :args (@t21)) % 0.16/0.41 (step @p228 :rule eq_resolve :premises (@p9 @p227)) % 0.16/0.41 (step @p229 :rule instantiate :premises (@p228) :args (@t128)) % 0.16/0.41 (step @p230 :rule cnf_or_pos :args (@t145)) % 0.16/0.41 (step @p231 :rule reordering :premises (@p230) :args ((or @t104 @t81 @t144 (not @t145)))) % 0.16/0.41 (step @p232 :rule chain_m_resolution :premises (@p231 @p168 @p48 @p229) :args (@t144 @t131 (@list @t69 @t68 @t145))) % 0.16/0.41 (assume-push @p310 @t144) % 0.16/0.41 (assume-push @p311 @t141) % 0.16/0.41 (assume-push @p312 @t109) % 0.16/0.41 (assume-push @p313 @t144) % 0.16/0.41 (assume-push @p314 @t109) % 0.16/0.41 (assume-push @p315 @t141) % 0.16/0.41 (step @p239 :rule symm :premises (@p232)) % 0.16/0.41 (step @p240 :rule refl :args (tptp.xm)) % 0.16/0.41 (step @p241 :rule cong :premises (@p240 @p312) :args (@t140)) % 0.16/0.41 (step @p242 :rule symm :premises (@p312)) % 0.16/0.41 (step @p243 :rule trans :premises (@p242 @p220 @p241 @p239)) % 0.16/0.41 (step-pop @p316 :rule scope :premises (@p243)) % 0.16/0.41 (step-pop @p317 :rule scope :premises (@p316)) % 0.16/0.41 (step-pop @p318 :rule scope :premises (@p317)) % 0.16/0.41 (step @p244 :rule process_scope :premises (@p318) :args (@t132)) % 0.16/0.41 (step @p248 :rule and_intro :premises (@p232 @p312 @p220)) % 0.16/0.41 (step @p249 :rule modus_ponens :premises (@p248 @p244)) % 0.16/0.41 (step-pop @p319 :rule scope :premises (@p249)) % 0.16/0.41 (step-pop @p320 :rule scope :premises (@p319)) % 0.16/0.41 (step-pop @p321 :rule scope :premises (@p320)) % 0.16/0.41 (step @p250 :rule process_scope :premises (@p321) :args (@t132)) % 0.16/0.41 (step @p254 :rule implies_elim :premises (@p250)) % 0.16/0.41 (step @p255 :rule cnf_and_neg :args (@t146)) % 0.16/0.41 (step @p256 :rule resolution :premises (@p255 @p254) :args (true @t146)) % 0.16/0.41 (step @p257 :rule reordering :premises (@p256) :args ((or @t132 (not @t144) (not @t141) @t147))) % 0.16/0.41 (step @p258 :rule chain_m_resolution :premises (@p257 @p177 @p232 @p220) :args (@t147 (@list true false false) (@list @t132 @t144 @t141))) % 0.16/0.41 (step @p259 :rule and_elim :premises (@p3) :args (0)) % 0.16/0.41 (step @p260 :rule cnf_or_pos :args (@t110)) % 0.16/0.41 (step @p261 :rule reordering :premises (@p260) :args ((or @t105 @t104 @t81 @t109 @t103 @t102 @t108 (not @t110)))) % 0.16/0.41 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p168 @p48 @p258 @p197 @p204 @p109) :args (@t108 (@list false false false true true false false) (@list @t4 @t69 @t68 @t109 @t103 @t101 @t110))) % 0.16/0.41 (step @p263 :rule cnf_and_pos :args (@t108 1)) % 0.16/0.41 (step @p264 :rule reordering :premises (@p263) :args ((or @t98 (not @t108)))) % 0.16/0.41 (step @p265 :rule chain_m_resolution :premises (@p264 @p262) :args (@t98 @t84 (@list @t108))) % 0.16/0.41 (step @p266 :rule refl :args (@t148)) % 0.16/0.41 (step @p267 :rule refl :args (@t138)) % 0.16/0.41 (step @p268 :rule bool-double-not-elim :args (@t71)) % 0.16/0.41 (step @p269 :rule nary_cong :premises (@p268 @p267 @p266) :args ((or (not @t149) @t138 @t148))) % 0.16/0.41 (assume-push @p322 @t98) % 0.16/0.41 (assume-push @p323 @t79) % 0.16/0.41 (assume-push @p324 @t149) % 0.16/0.41 (step @p273 :rule evaluate :args ((= false true))) % 0.16/0.41 (step @p274 :rule true_intro :premises (@p322)) % 0.16/0.41 (step @p275 :rule refl :args (@t70)) % 0.16/0.41 (step @p276 :rule cong :premises (@p54 @p275) :args (@t71)) % 0.16/0.41 (step @p277 :rule false_intro :premises (@p36)) % 0.16/0.41 (step @p278 :rule symm :premises (@p277)) % 0.16/0.41 (step @p279 :rule trans :premises (@p278 @p276 @p274)) % 0.16/0.41 (step @p280 false :rule eq_resolve :premises (@p279 @p273)) % 0.16/0.41 (step-pop @p325 :rule scope :premises (@p280)) % 0.16/0.41 (step-pop @p326 :rule scope :premises (@p325)) % 0.16/0.41 (step-pop @p327 :rule scope :premises (@p326)) % 0.16/0.41 (step @p281 :rule process_scope :premises (@p327) :args (false)) % 0.16/0.41 (assume-push @p328 @t149) % 0.16/0.41 (assume-push @p329 @t79) % 0.16/0.41 (assume-push @p330 @t98) % 0.16/0.41 (step @p288 :rule and_intro :premises (@p330 @p54 @p36)) % 0.16/0.41 (step-pop @p331 :rule scope :premises (@p288)) % 0.16/0.41 (step-pop @p332 :rule scope :premises (@p331)) % 0.16/0.41 (step-pop @p333 :rule scope :premises (@p332)) % 0.16/0.41 (step @p289 :rule process_scope :premises (@p333) :args (@t150)) % 0.16/0.41 (step @p293 :rule implies_elim :premises (@p289)) % 0.16/0.41 (step @p294 :rule resolution :premises (@p293 @p281) :args (true @t150)) % 0.16/0.41 (step @p295 :rule not_and :premises (@p294)) % 0.16/0.41 (step @p296 :rule eq_resolve :premises (@p295 @p269)) % 0.16/0.41 (step @p297 false :rule chain_m_resolution :premises (@p296 @p265 @p54 @p36) :args (false (@list false false true) (@list @t98 @t79 @t71))) % 0.16/0.41 ) % 0.16/0.41 % SZS output end Proof % 0.16/0.41 % cvc5 exiting %------------------------------------------------------------------------------