%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM461+2 : 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 : n011.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 08:39:29 AM UTC 2026 % Result : Theorem 0.85s 1.09s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM461+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n011.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 11:21:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.85/1.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.09 % SZS status Theorem % 0.85/1.09 % SZS output start Proof % 0.85/1.09 ( % 0.85/1.09 (declare-sort $$unsorted 0) % 0.85/1.09 (declare-const tptp.xm $$unsorted) % 0.85/1.09 (declare-const tptp.xl $$unsorted) % 0.85/1.09 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.xn $$unsorted) % 0.85/1.09 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.sz10 $$unsorted) % 0.85/1.09 (declare-const tptp.sz00 $$unsorted) % 0.85/1.09 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.85/1.09 (define @t1 () (@var "W0" $$unsorted)) % 0.85/1.09 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.85/1.09 (define @t3 () (@list @t1)) % 0.85/1.09 (define @t4 () (@var "W1" $$unsorted)) % 0.85/1.09 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.85/1.09 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 0.85/1.09 (define @t7 () (and @t2 @t6)) % 0.85/1.09 (define @t8 () (@list @t1 @t4)) % 0.85/1.09 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 0.85/1.09 (define @t10 () (tptp.sdtpldt0 @t4 @t1)) % 0.85/1.09 (define @t11 () (= @t5 @t10)) % 0.85/1.09 (define @t12 () (forall @t8 (=> @t7 @t11))) % 0.85/1.09 (define @t13 () (@var "W2" $$unsorted)) % 0.85/1.09 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 0.85/1.09 (define @t15 () (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))) % 0.85/1.09 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 0.85/1.09 (define @t17 () (and @t2 @t6 @t16)) % 0.85/1.09 (define @t18 () (@list @t1 @t4 @t13)) % 0.85/1.09 (define @t19 () (forall @t18 (=> @t17 @t15))) % 0.85/1.09 (define @t20 () (tptp.sdtasdt0 @t4 @t1)) % 0.85/1.09 (define @t21 () (tptp.sdtasdt0 @t13 @t1)) % 0.85/1.09 (define @t22 () (tptp.sdtasdt0 @t1 @t13)) % 0.85/1.09 (define @t23 () (= @t4 @t13)) % 0.85/1.09 (define @t24 () (= @t10 (tptp.sdtpldt0 @t13 @t1))) % 0.85/1.09 (define @t25 () (tptp.sdtpldt0 @t1 @t13)) % 0.85/1.09 (define @t26 () (= @t5 @t25)) % 0.85/1.09 (define @t27 () (or @t26 @t24)) % 0.85/1.09 (define @t28 () (=> @t27 @t23)) % 0.85/1.09 (define @t29 () (forall @t18 (=> @t17 @t28))) % 0.85/1.09 (define @t30 () (and @t6 @t16)) % 0.85/1.09 (define @t31 () (= @t1 tptp.sz00)) % 0.85/1.09 (define @t32 () (= @t4 tptp.sz00)) % 0.85/1.09 (define @t33 () (and @t16 (= @t25 @t4))) % 0.85/1.09 (define @t34 () (@list @t13)) % 0.85/1.09 (define @t35 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.85/1.09 (define @t36 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.85/1.09 (define @t37 () (tptp.aNaturalNumber0 tptp.xn)) % 0.85/1.09 (define @t38 () (tptp.aNaturalNumber0 tptp.xl)) % 0.85/1.09 (define @t39 () (tptp.sdtpldt0 tptp.xl @t1)) % 0.85/1.09 (define @t40 () (and @t2 (= @t39 tptp.xn))) % 0.85/1.09 (define @t41 () (exists @t3 @t40)) % 0.85/1.09 (define @t42 () (= tptp.xl tptp.xn)) % 0.85/1.09 (define @t43 () (tptp.aNaturalNumber0 tptp.xm)) % 0.85/1.09 (define @t44 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 0.85/1.09 (define @t45 () (tptp.sdtpldt0 tptp.xl tptp.xm)) % 0.85/1.09 (define @t46 () (tptp.sdtlseqdt0 @t45 @t44)) % 0.85/1.09 (define @t47 () (tptp.sdtpldt0 @t45 @t1)) % 0.85/1.09 (define @t48 () (and @t2 (= @t47 @t44))) % 0.85/1.09 (define @t49 () (exists @t3 @t48)) % 0.85/1.09 (define @t50 () (or @t49 @t46)) % 0.85/1.09 (define @t51 () (not (= @t45 @t44))) % 0.85/1.09 (define @t52 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 0.85/1.09 (define @t53 () (tptp.sdtpldt0 tptp.xm tptp.xl)) % 0.85/1.09 (define @t54 () (tptp.sdtlseqdt0 @t53 @t52)) % 0.85/1.09 (define @t55 () (tptp.sdtpldt0 @t53 @t1)) % 0.85/1.09 (define @t56 () (and @t2 (= @t55 @t52))) % 0.85/1.09 (define @t57 () (exists @t3 @t56)) % 0.85/1.09 (define @t58 () (or @t57 @t54)) % 0.85/1.09 (define @t59 () (not (= @t53 @t52))) % 0.85/1.09 (define @t60 () (and @t59 @t58 @t51 @t50)) % 0.85/1.09 (define @t61 () (not @t60)) % 0.85/1.09 (define @t62 () (not @t16)) % 0.85/1.09 (define @t63 () (not @t6)) % 0.85/1.09 (define @t64 () (not @t2)) % 0.85/1.09 (define @t65 () (or @t64 @t63 @t62)) % 0.85/1.09 (define @t66 () (not @t17)) % 0.85/1.09 (define @t67 () (= tptp.xn @t39)) % 0.85/1.09 (define @t68 () (@quantifiers_skolemize (forall @t3 (or @t64 (not @t67))) 0)) % 0.85/1.09 (define @t69 () (and @t2 @t67)) % 0.85/1.09 (define @t70 () (forall @t3 (not @t69))) % 0.85/1.09 (define @t71 () (not @t70)) % 0.85/1.09 (define @t72 () (tptp.aNaturalNumber0 @t68)) % 0.85/1.09 (define @t73 () (tptp.sdtpldt0 tptp.xl @t68)) % 0.85/1.09 (define @t74 () (= tptp.xn @t73)) % 0.85/1.09 (define @t75 () (not @t74)) % 0.85/1.09 (define @t76 () (not @t72)) % 0.85/1.09 (define @t77 () (or @t76 @t75)) % 0.85/1.09 (define @t78 () (@list true)) % 0.85/1.09 (define @t79 () (@list @t77)) % 0.85/1.09 (define @t80 () (tptp.sdtpldt0 @t53 @t68)) % 0.85/1.09 (define @t81 () (= @t80 (tptp.sdtpldt0 tptp.xm @t73))) % 0.85/1.09 (define @t82 () (not @t38)) % 0.85/1.09 (define @t83 () (not @t43)) % 0.85/1.09 (define @t84 () (or @t83 @t82 @t76 @t81)) % 0.85/1.09 (define @t85 () (= @t52 @t80)) % 0.85/1.09 (define @t86 () (not @t85)) % 0.85/1.09 (define @t87 () (or @t76 @t86)) % 0.85/1.09 (define @t88 () (not @t87)) % 0.85/1.09 (define @t89 () (@list false false)) % 0.85/1.09 (define @t90 () (= @t52 @t55)) % 0.85/1.09 (define @t91 () (forall @t3 (or @t64 (not @t90)))) % 0.85/1.09 (define @t92 () (@list @t68)) % 0.85/1.09 (define @t93 () (not @t91)) % 0.85/1.09 (define @t94 () (or @t93 @t54)) % 0.85/1.09 (define @t95 () (= @t45 @t53)) % 0.85/1.09 (define @t96 () (or @t82 @t83 @t95)) % 0.85/1.09 (define @t97 () (@list false false false)) % 0.85/1.09 (define @t98 () (= @t44 @t52)) % 0.85/1.09 (define @t99 () (not @t37)) % 0.85/1.09 (define @t100 () (or @t99 @t83 @t98)) % 0.85/1.09 (define @t101 () (= @t44 (tptp.sdtpldt0 @t45 @t68))) % 0.85/1.09 (define @t102 () (not @t101)) % 0.85/1.09 (define @t103 () (or @t76 @t102)) % 0.85/1.09 (define @t104 () (not @t103)) % 0.85/1.09 (define @t105 () (= @t44 @t47)) % 0.85/1.09 (define @t106 () (forall @t3 (or @t64 (not @t105)))) % 0.85/1.09 (define @t107 () (not @t106)) % 0.85/1.09 (define @t108 () (or @t107 @t46)) % 0.85/1.09 (define @t109 () (not @t108)) % 0.85/1.09 (define @t110 () (= @t44 @t45)) % 0.85/1.09 (define @t111 () (not @t94)) % 0.85/1.09 (define @t112 () (= @t52 @t53)) % 0.85/1.09 (define @t113 () (not @t110)) % 0.85/1.09 (define @t114 () (not @t112)) % 0.85/1.09 (define @t115 () (not @t114)) % 0.85/1.09 (define @t116 () (and @t2 @t105)) % 0.85/1.09 (define @t117 () (forall @t3 (not @t116))) % 0.85/1.09 (define @t118 () (not @t117)) % 0.85/1.09 (define @t119 () (and @t2 @t90)) % 0.85/1.09 (define @t120 () (forall @t3 (not @t119))) % 0.85/1.09 (define @t121 () (not @t120)) % 0.85/1.09 (define @t122 () (not @t98)) % 0.85/1.09 (define @t123 () (not @t95)) % 0.85/1.09 (define @t124 () (and @t114 @t95 @t98)) % 0.85/1.09 (define @t125 () (and @t114 @t113)) % 0.85/1.09 (define @t126 () (not @t125)) % 0.85/1.09 (define @t127 () (@list false)) % 0.85/1.09 (define @t128 () (and (not @t26) (not @t24))) % 0.85/1.09 (define @t129 () (or @t64 @t63 @t62 @t128 @t23)) % 0.85/1.09 (define @t130 () (or @t83 @t99 @t82 @t125 (= tptp.xn tptp.xl))) % 0.85/1.09 (define @t131 () (forall @t18 @t129)) % 0.85/1.09 (define @t132 () (or @t83 @t99 @t82 @t125 @t42)) % 0.85/1.09 (assume @p1 (forall @t3 (=> @t2 true))) % 0.85/1.09 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.85/1.09 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.85/1.09 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 0.85/1.09 (assume @p5 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t9)))) % 0.85/1.09 (assume @p6 @t12) % 0.85/1.09 (assume @p7 @t19) % 0.85/1.09 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.85/1.09 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t20)))) % 0.85/1.09 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))))) % 0.85/1.09 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.85/1.09 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.85/1.09 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t22)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t20 @t21)))))) % 0.85/1.09 (assume @p14 @t29) % 0.85/1.09 (assume @p15 (forall @t3 (=> @t2 (=> (not @t31) (forall (@list @t4 @t13) (=> @t30 (=> (or (= @t9 @t22) (= @t20 @t21)) @t23))))))) % 0.85/1.09 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t31 @t32))))) % 0.85/1.09 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t31 @t32))))) % 0.85/1.09 (assume @p18 (forall @t8 (=> @t7 (= @t35 (exists @t34 @t33))))) % 0.85/1.09 (assume @p19 (forall @t8 (=> @t7 (=> @t35 (forall @t34 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t33)))))) % 0.85/1.09 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.85/1.09 (assume @p21 (forall @t8 (=> @t7 (=> (and @t35 @t36) (= @t1 @t4))))) % 0.85/1.09 (assume @p22 (forall @t18 (=> @t17 (=> (and @t35 (tptp.sdtlseqdt0 @t4 @t13)) (tptp.sdtlseqdt0 @t1 @t13))))) % 0.85/1.09 (assume @p23 (forall @t8 (=> @t7 (or @t35 (and (not (= @t4 @t1)) @t36))))) % 0.85/1.09 (assume @p24 (and @t38 @t37)) % 0.85/1.09 (assume @p25 (and (not @t42) @t41 (tptp.sdtlseqdt0 tptp.xl tptp.xn))) % 0.85/1.09 (assume @p26 @t43) % 0.85/1.09 (assume @p27 @t61) % 0.85/1.09 (assume @p28 true) % 0.85/1.09 (step @p29 :rule and_elim :premises (@p24) :args (0)) % 0.85/1.09 (step @p30 :rule and_elim :premises (@p24) :args (1)) % 0.85/1.09 (step @p31 :rule and_elim :premises (@p25) :args (0)) % 0.85/1.09 (step @p32 :rule aci_norm :args ((= (or @t65 @t15) (or @t64 @t63 @t62 @t15)))) % 0.85/1.09 (step @p33 :rule refl :args (@t15)) % 0.85/1.09 (step @p34 :rule aci_norm :args ((= (or @t64 (or @t63 @t62)) @t65))) % 0.85/1.09 (step @p35 :rule bool-and-de-morgan :args (@t6 @t16 true)) % 0.85/1.09 (step @p36 :rule refl :args (@t64)) % 0.85/1.09 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t64 (not @t30)))) % 0.85/1.09 (step @p38 :rule bool-and-de-morgan :args (@t2 @t6 (and @t16))) % 0.85/1.09 (step @p39 :rule trans :premises (@p38 @p37)) % 0.85/1.09 (step @p40 :rule trans :premises (@p39 @p34)) % 0.85/1.09 (step @p41 :rule nary_cong :premises (@p40 @p33) :args ((or @t66 @t15))) % 0.85/1.09 (step @p42 :rule trans :premises (@p41 @p32)) % 0.85/1.09 (step @p43 :rule bool-impl-elim :args (@t17 @t15)) % 0.85/1.09 (step @p44 :rule trans :premises (@p43 @p42)) % 0.85/1.09 (step @p45 :rule cong :premises (@p44) :args (@t19)) % 0.85/1.09 (step @p46 :rule eq_resolve :premises (@p7 @p45)) % 0.85/1.09 (step @p47 :rule instantiate :premises (@p46) :args ((@list tptp.xm tptp.xl @t68))) % 0.85/1.09 (step @p48 :rule bool-and-de-morgan :args (@t2 @t67 true)) % 0.85/1.09 (step @p49 :rule cong :premises (@p48) :args (@t70)) % 0.85/1.09 (step @p50 :rule cong :premises (@p49) :args (@t71)) % 0.85/1.09 (step @p51 :rule exists-elim :args ((= (exists @t3 @t69) @t71))) % 0.85/1.09 (step @p52 :rule trans :premises (@p51 @p50)) % 0.85/1.09 (step @p53 :rule eq-symm :args (@t39 tptp.xn)) % 0.85/1.09 (step @p54 :rule refl :args (@t2)) % 0.85/1.09 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t40)) % 0.85/1.09 (step @p56 :rule cong :premises (@p55) :args (@t41)) % 0.85/1.09 (step @p57 :rule trans :premises (@p56 @p52)) % 0.85/1.09 (step @p58 :rule and_elim :premises (@p25) :args (1)) % 0.85/1.09 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.85/1.09 (step @p60 :rule skolemize :premises (@p59)) % 0.85/1.09 (step @p61 :rule bool-double-not-elim :args (@t72)) % 0.85/1.09 (step @p62 :rule refl :args (@t77)) % 0.85/1.09 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t77 (not @t76)))) % 0.85/1.09 (step @p64 :rule cnf_or_neg :args (@t77 0)) % 0.85/1.09 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.85/1.09 (step @p66 :rule reordering :premises (@p65) :args ((or @t72 @t77))) % 0.85/1.09 (step @p67 :rule chain_m_resolution :premises (@p66 @p60) :args (@t72 @t78 @t79)) % 0.85/1.09 (step @p68 :rule cnf_or_pos :args (@t84)) % 0.85/1.09 (step @p69 :rule reordering :premises (@p68) :args ((or @t82 @t83 @t76 @t81 (not @t84)))) % 0.85/1.09 (step @p70 :rule chain_m_resolution :premises (@p69 @p29 @p26 @p67 @p47) :args (@t81 (@list false false false false) (@list @t38 @t43 @t72 @t84))) % 0.85/1.09 (step @p71 :rule symm :premises (@p70)) % 0.85/1.09 (step @p72 :rule bool-double-not-elim :args (@t74)) % 0.85/1.09 (step @p73 :rule nary_cong :premises (@p62 @p72) :args ((or @t77 (not @t75)))) % 0.85/1.09 (step @p74 :rule cnf_or_neg :args (@t77 1)) % 0.85/1.09 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.85/1.09 (step @p76 :rule reordering :premises (@p75) :args ((or @t74 @t77))) % 0.85/1.09 (step @p77 :rule chain_m_resolution :premises (@p76 @p60) :args (@t74 @t78 @t79)) % 0.85/1.09 (step @p78 :rule refl :args (tptp.xm)) % 0.85/1.09 (step @p79 :rule cong :premises (@p78 @p77) :args (@t52)) % 0.85/1.09 (step @p80 :rule trans :premises (@p79 @p71)) % 0.85/1.09 (step @p81 :rule cnf_or_pos :args (@t87)) % 0.85/1.09 (step @p82 :rule reordering :premises (@p81) :args ((or @t76 @t86 @t88))) % 0.85/1.09 (step @p83 :rule chain_m_resolution :premises (@p82 @p67 @p80) :args (@t88 @t89 (@list @t72 @t85))) % 0.85/1.09 (assume-push @p234 @t91) % 0.85/1.09 (step @p85 :rule instantiate :premises (@p234) :args (@t92)) % 0.85/1.09 (step-pop @p235 :rule scope :premises (@p85)) % 0.85/1.09 (step @p86 :rule process_scope :premises (@p235) :args (@t87)) % 0.85/1.09 (step @p88 :rule implies_elim :premises (@p86)) % 0.85/1.09 (step @p89 :rule chain_m_resolution :premises (@p88 @p83) :args (@t93 @t78 (@list @t87))) % 0.85/1.09 (step @p90 :rule bool-double-not-elim :args (@t91)) % 0.85/1.09 (step @p91 :rule refl :args (@t94)) % 0.85/1.09 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t94 (not @t93)))) % 0.85/1.09 (step @p93 :rule cnf_or_neg :args (@t94 0)) % 0.85/1.09 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.85/1.09 (step @p95 :rule reordering :premises (@p94) :args ((or @t91 @t94))) % 0.85/1.09 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t94 @t78 (@list @t91))) % 0.85/1.09 (step @p97 :rule refl :args (@t68)) % 0.85/1.09 (step @p98 :rule aci_norm :args ((= (or (or @t64 @t63) @t11) (or @t64 @t63 @t11)))) % 0.85/1.09 (step @p99 :rule refl :args (@t11)) % 0.85/1.09 (step @p100 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 0.85/1.09 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t7) @t11))) % 0.85/1.09 (step @p102 :rule trans :premises (@p101 @p98)) % 0.85/1.09 (step @p103 :rule bool-impl-elim :args (@t7 @t11)) % 0.85/1.09 (step @p104 :rule trans :premises (@p103 @p102)) % 0.85/1.09 (step @p105 :rule cong :premises (@p104) :args (@t12)) % 0.85/1.09 (step @p106 :rule eq_resolve :premises (@p6 @p105)) % 0.85/1.09 (step @p107 :rule instantiate :premises (@p106) :args ((@list tptp.xl tptp.xm))) % 0.85/1.09 (step @p108 :rule cnf_or_pos :args (@t96)) % 0.85/1.09 (step @p109 :rule reordering :premises (@p108) :args ((or @t82 @t83 @t95 (not @t96)))) % 0.85/1.09 (step @p110 :rule chain_m_resolution :premises (@p109 @p29 @p26 @p107) :args (@t95 @t97 (@list @t38 @t43 @t96))) % 0.85/1.09 (step @p111 :rule symm :premises (@p110)) % 0.85/1.09 (step @p112 :rule cong :premises (@p111 @p97) :args (@t80)) % 0.85/1.09 (step @p113 :rule instantiate :premises (@p106) :args ((@list tptp.xn tptp.xm))) % 0.85/1.09 (step @p114 :rule cnf_or_pos :args (@t100)) % 0.85/1.09 (step @p115 :rule reordering :premises (@p114) :args ((or @t99 @t83 @t98 (not @t100)))) % 0.85/1.09 (step @p116 :rule chain_m_resolution :premises (@p115 @p30 @p26 @p113) :args (@t98 @t97 (@list @t37 @t43 @t100))) % 0.85/1.09 (step @p117 :rule trans :premises (@p116 @p79 @p71 @p112)) % 0.85/1.09 (step @p118 :rule cnf_or_pos :args (@t103)) % 0.85/1.09 (step @p119 :rule reordering :premises (@p118) :args ((or @t76 @t102 @t104))) % 0.85/1.09 (step @p120 :rule chain_m_resolution :premises (@p119 @p67 @p117) :args (@t104 @t89 (@list @t72 @t101))) % 0.85/1.09 (assume-push @p236 @t106) % 0.85/1.09 (step @p122 :rule instantiate :premises (@p236) :args (@t92)) % 0.85/1.09 (step-pop @p237 :rule scope :premises (@p122)) % 0.85/1.09 (step @p123 :rule process_scope :premises (@p237) :args (@t103)) % 0.85/1.09 (step @p125 :rule implies_elim :premises (@p123)) % 0.85/1.09 (step @p126 :rule chain_m_resolution :premises (@p125 @p120) :args (@t107 @t78 (@list @t103))) % 0.85/1.09 (step @p127 :rule bool-double-not-elim :args (@t106)) % 0.85/1.09 (step @p128 :rule refl :args (@t108)) % 0.85/1.09 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t108 (not @t107)))) % 0.85/1.09 (step @p130 :rule cnf_or_neg :args (@t108 0)) % 0.85/1.09 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.85/1.09 (step @p132 :rule reordering :premises (@p131) :args ((or @t106 @t108))) % 0.85/1.09 (step @p133 :rule chain_m_resolution :premises (@p132 @p126) :args (@t108 @t78 (@list @t106))) % 0.85/1.09 (step @p134 :rule refl :args (@t109)) % 0.85/1.09 (step @p135 :rule bool-double-not-elim :args (@t110)) % 0.85/1.09 (step @p136 :rule refl :args (@t111)) % 0.85/1.09 (step @p137 :rule bool-double-not-elim :args (@t112)) % 0.85/1.09 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p134) :args ((or @t115 @t111 (not @t113) @t109))) % 0.85/1.09 (step @p139 :rule refl :args (@t46)) % 0.85/1.09 (step @p140 :rule bool-and-de-morgan :args (@t2 @t105 true)) % 0.85/1.09 (step @p141 :rule cong :premises (@p140) :args (@t117)) % 0.85/1.09 (step @p142 :rule cong :premises (@p141) :args (@t118)) % 0.85/1.09 (step @p143 :rule exists-elim :args ((= (exists @t3 @t116) @t118))) % 0.85/1.09 (step @p144 :rule trans :premises (@p143 @p142)) % 0.85/1.09 (step @p145 :rule eq-symm :args (@t47 @t44)) % 0.85/1.09 (step @p146 :rule nary_cong :premises (@p54 @p145) :args (@t48)) % 0.85/1.09 (step @p147 :rule cong :premises (@p146) :args (@t49)) % 0.85/1.09 (step @p148 :rule trans :premises (@p147 @p144)) % 0.85/1.09 (step @p149 :rule nary_cong :premises (@p148 @p139) :args (@t50)) % 0.85/1.09 (step @p150 :rule eq-symm :args (@t45 @t44)) % 0.85/1.09 (step @p151 :rule cong :premises (@p150) :args (@t51)) % 0.85/1.09 (step @p152 :rule refl :args (@t54)) % 0.85/1.09 (step @p153 :rule bool-and-de-morgan :args (@t2 @t90 true)) % 0.85/1.09 (step @p154 :rule cong :premises (@p153) :args (@t120)) % 0.85/1.09 (step @p155 :rule cong :premises (@p154) :args (@t121)) % 0.85/1.09 (step @p156 :rule exists-elim :args ((= (exists @t3 @t119) @t121))) % 0.85/1.09 (step @p157 :rule trans :premises (@p156 @p155)) % 0.85/1.09 (step @p158 :rule eq-symm :args (@t55 @t52)) % 0.85/1.09 (step @p159 :rule nary_cong :premises (@p54 @p158) :args (@t56)) % 0.85/1.09 (step @p160 :rule cong :premises (@p159) :args (@t57)) % 0.85/1.09 (step @p161 :rule trans :premises (@p160 @p157)) % 0.85/1.09 (step @p162 :rule nary_cong :premises (@p161 @p152) :args (@t58)) % 0.85/1.09 (step @p163 :rule eq-symm :args (@t53 @t52)) % 0.85/1.09 (step @p164 :rule cong :premises (@p163) :args (@t59)) % 0.85/1.09 (step @p165 :rule nary_cong :premises (@p164 @p162 @p151 @p149) :args (@t60)) % 0.85/1.09 (step @p166 :rule cong :premises (@p165) :args (@t61)) % 0.85/1.09 (step @p167 :rule eq_resolve :premises (@p27 @p166)) % 0.85/1.09 (step @p168 :rule not_and :premises (@p167)) % 0.85/1.09 (step @p169 :rule eq_resolve :premises (@p168 @p138)) % 0.85/1.09 (step @p170 :rule reordering :premises (@p169) :args ((or @t112 @t110 @t111 @t109))) % 0.85/1.09 (step @p171 :rule refl :args (@t113)) % 0.85/1.09 (step @p172 :rule refl :args (@t122)) % 0.85/1.09 (step @p173 :rule refl :args (@t123)) % 0.85/1.09 (step @p174 :rule nary_cong :premises (@p137 @p173 @p172 @p171) :args ((or @t115 @t123 @t122 @t113))) % 0.85/1.09 (assume-push @p238 @t114) % 0.85/1.09 (assume-push @p239 @t95) % 0.85/1.09 (assume-push @p240 @t98) % 0.85/1.09 (assume-push @p241 @t114) % 0.85/1.09 (assume-push @p242 @t98) % 0.85/1.09 (assume-push @p243 @t95) % 0.85/1.10 (step @p181 :rule false_intro :premises (@p238)) % 0.85/1.10 (step @p182 :rule cong :premises (@p116 @p110) :args (@t110)) % 0.85/1.10 (step @p183 :rule trans :premises (@p182 @p181)) % 0.85/1.10 (step @p184 :rule false_elim :premises (@p183)) % 0.85/1.10 (step-pop @p244 :rule scope :premises (@p184)) % 0.85/1.10 (step-pop @p245 :rule scope :premises (@p244)) % 0.85/1.10 (step-pop @p246 :rule scope :premises (@p245)) % 0.85/1.10 (step @p185 :rule process_scope :premises (@p246) :args (@t113)) % 0.85/1.10 (step @p189 :rule and_intro :premises (@p238 @p116 @p110)) % 0.85/1.10 (step @p190 :rule modus_ponens :premises (@p189 @p185)) % 0.85/1.10 (step-pop @p247 :rule scope :premises (@p190)) % 0.85/1.10 (step-pop @p248 :rule scope :premises (@p247)) % 0.85/1.10 (step-pop @p249 :rule scope :premises (@p248)) % 0.85/1.10 (step @p191 :rule process_scope :premises (@p249) :args (@t113)) % 0.85/1.10 (step @p195 :rule implies_elim :premises (@p191)) % 0.85/1.10 (step @p196 :rule cnf_and_neg :args (@t124)) % 0.85/1.10 (step @p197 :rule resolution :premises (@p196 @p195) :args (true @t124)) % 0.85/1.10 (step @p198 :rule eq_resolve :premises (@p197 @p174)) % 0.85/1.10 (step @p199 :rule reordering :premises (@p198) :args ((or @t112 @t113 @t123 @t122))) % 0.85/1.10 (step @p200 :rule chain_m_resolution :premises (@p199 @p116 @p110 @p170 @p133 @p96) :args (@t112 (@list false false false false false) (@list @t98 @t95 @t110 @t108 @t94))) % 0.85/1.10 (step @p201 :rule cnf_and_pos :args (@t125 0)) % 0.85/1.10 (step @p202 :rule reordering :premises (@p201) :args ((or @t114 @t126))) % 0.85/1.10 (step @p203 :rule chain_m_resolution :premises (@p202 @p200) :args (@t126 @t127 (@list @t112))) % 0.85/1.10 (step @p204 :rule aci_norm :args ((= (or @t65 (or @t128 @t23)) @t129))) % 0.85/1.10 (step @p205 :rule refl :args (@t23)) % 0.85/1.10 (step @p206 :rule bool-or-de-morgan :args (@t26 @t24 false)) % 0.85/1.10 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or (not @t27) @t23))) % 0.85/1.10 (step @p208 :rule bool-impl-elim :args (@t27 @t23)) % 0.85/1.10 (step @p209 :rule trans :premises (@p208 @p207)) % 0.85/1.10 (step @p210 :rule nary_cong :premises (@p40 @p209) :args ((or @t66 @t28))) % 0.85/1.10 (step @p211 :rule trans :premises (@p210 @p204)) % 0.85/1.10 (step @p212 :rule bool-impl-elim :args (@t17 @t28)) % 0.85/1.10 (step @p213 :rule trans :premises (@p212 @p211)) % 0.85/1.10 (step @p214 :rule cong :premises (@p213) :args (@t29)) % 0.85/1.10 (step @p215 :rule eq_resolve :premises (@p14 @p214)) % 0.85/1.10 (step @p216 :rule eq-symm :args (tptp.xn tptp.xl)) % 0.85/1.10 (step @p217 :rule refl :args (@t125)) % 0.85/1.10 (step @p218 :rule refl :args (@t82)) % 0.85/1.10 (step @p219 :rule refl :args (@t99)) % 0.85/1.10 (step @p220 :rule refl :args (@t83)) % 0.85/1.10 (step @p221 :rule nary_cong :premises (@p220 @p219 @p218 @p217 @p216) :args (@t130)) % 0.85/1.10 (step @p222 :rule refl :args (@t131)) % 0.85/1.10 (step @p223 :rule cong :premises (@p222 @p221) :args ((=> @t131 @t130))) % 0.85/1.10 (assume-push @p250 @t131) % 0.85/1.10 (step @p225 :rule instantiate :premises (@p215) :args ((@list tptp.xm tptp.xn tptp.xl))) % 0.85/1.10 (step-pop @p251 :rule scope :premises (@p225)) % 0.85/1.10 (step @p226 :rule process_scope :premises (@p251) :args (@t130)) % 0.85/1.10 (step @p228 :rule eq_resolve :premises (@p226 @p223)) % 0.85/1.10 (step @p229 :rule implies_elim :premises (@p228)) % 0.85/1.10 (step @p230 :rule chain_m_resolution :premises (@p229 @p215) :args (@t132 @t127 (@list @t131))) % 0.85/1.10 (step @p231 :rule cnf_or_pos :args (@t132)) % 0.85/1.10 (step @p232 :rule reordering :premises (@p231) :args ((or @t42 @t82 @t99 @t83 @t125 (not @t132)))) % 0.85/1.10 (step @p233 false :rule chain_m_resolution :premises (@p232 @p230 @p203 @p26 @p31 @p30 @p29) :args (false (@list false true false true false false) (@list @t132 @t125 @t43 @t42 @t37 @t38))) % 0.85/1.10 ) % 0.85/1.10 % SZS output end Proof % 0.85/1.10 % cvc5 exiting %------------------------------------------------------------------------------