%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV138^5 : 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 : n014.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 08:55:30 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV138^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n014.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 18:15:43 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort tptp.a 0) % 0.38/0.60 (define @t1 () (@var "Xz" tptp.a)) % 0.38/0.60 (define @t2 () (@var "Xq" (-> tptp.a Bool))) % 0.38/0.60 (define @t3 () (_ @t2 @t1)) % 0.38/0.60 (define @t4 () (@var "Xv" tptp.a)) % 0.38/0.60 (define @t5 () (_ @t2 @t4)) % 0.38/0.60 (define @t6 () (@var "Xu" tptp.a)) % 0.38/0.60 (define @t7 () (@var "Xr" (-> tptp.a tptp.a Bool))) % 0.38/0.60 (define @t8 () (_ (_ @t7 @t6) @t4)) % 0.38/0.60 (define @t9 () (_ @t2 @t6)) % 0.38/0.60 (define @t10 () (and @t9 @t8)) % 0.38/0.60 (define @t11 () (@list @t6 @t4)) % 0.38/0.60 (define @t12 () (forall @t11 (=> @t10 @t5))) % 0.38/0.60 (define @t13 () (@var "Xw" tptp.a)) % 0.38/0.60 (define @t14 () (_ @t2 @t13)) % 0.38/0.60 (define @t15 () (@var "Xx" tptp.a)) % 0.38/0.60 (define @t16 () (_ (_ @t7 @t15) @t13)) % 0.38/0.60 (define @t17 () (@list @t13)) % 0.38/0.60 (define @t18 () (forall @t17 (=> @t16 @t14))) % 0.38/0.60 (define @t19 () (and @t18 @t12)) % 0.38/0.60 (define @t20 () (=> @t19 @t3)) % 0.38/0.60 (define @t21 () (@list @t2)) % 0.38/0.60 (define @t22 () (forall @t21 @t20)) % 0.38/0.60 (define @t23 () (@var "Xy" tptp.a)) % 0.38/0.60 (define @t24 () (_ (_ @t7 @t23) @t13)) % 0.38/0.60 (define @t25 () (forall @t17 (=> @t24 @t14))) % 0.38/0.60 (define @t26 () (and @t25 @t12)) % 0.38/0.60 (define @t27 () (=> @t26 @t3)) % 0.38/0.60 (define @t28 () (forall @t21 @t27)) % 0.38/0.60 (define @t29 () (_ @t2 @t23)) % 0.38/0.60 (define @t30 () (=> @t19 @t29)) % 0.38/0.60 (define @t31 () (forall @t21 @t30)) % 0.38/0.60 (define @t32 () (and @t31 @t28)) % 0.38/0.60 (define @t33 () (=> @t32 @t22)) % 0.38/0.60 (define @t34 () (@list @t7 @t15 @t23 @t1)) % 0.38/0.60 (define @t35 () (forall @t34 @t33)) % 0.38/0.60 (define @t36 () (not @t35)) % 0.38/0.60 (define @t37 () (@var "BOUND_VARIABLE_7517" (-> tptp.a Bool))) % 0.38/0.60 (define @t38 () (_ @t37 @t1)) % 0.38/0.60 (define @t39 () (_ @t7 @t6 @t4)) % 0.38/0.60 (define @t40 () (not @t39)) % 0.38/0.60 (define @t41 () (not (forall @t11 (or (not (_ @t37 @t6)) @t40 (_ @t37 @t4))))) % 0.38/0.60 (define @t42 () (_ @t7 @t15 @t13)) % 0.38/0.60 (define @t43 () (not @t42)) % 0.38/0.60 (define @t44 () (not (forall @t17 (or @t43 (_ @t37 @t13))))) % 0.38/0.60 (define @t45 () (_ @t2 @t1)) % 0.38/0.60 (define @t46 () (_ @t2 @t4)) % 0.38/0.60 (define @t47 () (_ @t2 @t6)) % 0.38/0.60 (define @t48 () (not @t47)) % 0.38/0.60 (define @t49 () (forall @t11 (or @t48 @t40 @t46))) % 0.38/0.60 (define @t50 () (not @t49)) % 0.38/0.60 (define @t51 () (_ @t2 @t13)) % 0.38/0.60 (define @t52 () (_ @t7 @t23 @t13)) % 0.38/0.60 (define @t53 () (forall @t17 (or (not @t52) @t51))) % 0.38/0.60 (define @t54 () (not @t53)) % 0.38/0.60 (define @t55 () (forall @t21 (or @t54 @t50 @t45))) % 0.38/0.60 (define @t56 () (not @t55)) % 0.38/0.60 (define @t57 () (_ @t2 @t23)) % 0.38/0.60 (define @t58 () (forall @t17 (or @t43 @t51))) % 0.38/0.60 (define @t59 () (not @t58)) % 0.38/0.60 (define @t60 () (forall @t21 (or @t59 @t50 @t57))) % 0.38/0.60 (define @t61 () (not @t60)) % 0.38/0.60 (define @t62 () (or @t61 @t56 @t44 @t41 @t38)) % 0.38/0.60 (define @t63 () (or @t44 @t41 @t38)) % 0.38/0.60 (define @t64 () (or @t61 @t56 @t63)) % 0.38/0.60 (define @t65 () (@list @t7 @t15 @t23 @t1 @t37)) % 0.38/0.60 (define @t66 () (forall @t65 @t64)) % 0.38/0.60 (define @t67 () (@list @t37)) % 0.38/0.60 (define @t68 () (forall @t67 @t64)) % 0.38/0.60 (define @t69 () (forall @t67 @t63)) % 0.38/0.60 (define @t70 () (or @t61 @t56 @t69)) % 0.38/0.60 (define @t71 () (forall @t21 (or @t59 @t50 @t45))) % 0.38/0.60 (define @t72 () (or @t61 @t56 @t71)) % 0.38/0.60 (define @t73 () (and @t60 @t55)) % 0.38/0.60 (define @t74 () (or @t59 @t50 @t3)) % 0.38/0.60 (define @t75 () (or @t59 @t50)) % 0.38/0.60 (define @t76 () (and @t58 @t49)) % 0.38/0.60 (define @t77 () (not @t76)) % 0.38/0.60 (define @t78 () (not @t8)) % 0.38/0.60 (define @t79 () (not @t9)) % 0.38/0.60 (define @t80 () (or @t79 @t78 @t5)) % 0.38/0.60 (define @t81 () (not @t16)) % 0.38/0.60 (define @t82 () (or @t81 @t14)) % 0.38/0.60 (define @t83 () (or @t54 @t50 @t3)) % 0.38/0.60 (define @t84 () (and @t53 @t49)) % 0.38/0.60 (define @t85 () (not @t24)) % 0.38/0.60 (define @t86 () (or @t85 @t14)) % 0.38/0.60 (define @t87 () (or @t59 @t50 @t29)) % 0.38/0.60 (define @t88 () (forall @t65 @t62)) % 0.38/0.60 (define @t89 () (@quantifiers_skolemize @t88 2)) % 0.38/0.60 (define @t90 () (@quantifiers_skolemize @t88 0)) % 0.38/0.60 (define @t91 () (not (_ @t90 @t6 @t4))) % 0.38/0.60 (define @t92 () (not (forall @t11 (or @t48 @t91 @t46)))) % 0.38/0.60 (define @t93 () (not (_ @t90 (@quantifiers_skolemize @t88 1) @t13))) % 0.38/0.60 (define @t94 () (forall @t21 (or (not (forall @t17 (or @t93 @t51))) @t92 (_ @t2 @t89)))) % 0.38/0.60 (define @t95 () (@quantifiers_skolemize @t88 3)) % 0.38/0.60 (define @t96 () (@quantifiers_skolemize @t88 4)) % 0.38/0.60 (define @t97 () (_ @t96 @t95)) % 0.38/0.60 (define @t98 () (forall @t11 (or (not (_ @t96 @t6)) @t91 (_ @t96 @t4)))) % 0.38/0.60 (define @t99 () (not @t98)) % 0.38/0.60 (define @t100 () (_ @t96 @t13)) % 0.38/0.60 (define @t101 () (forall @t17 (or @t93 @t100))) % 0.38/0.60 (define @t102 () (not @t101)) % 0.38/0.60 (define @t103 () (not (_ @t90 @t89 @t13))) % 0.38/0.60 (define @t104 () (forall @t21 (or (not (forall @t17 (or @t103 @t51))) @t92 (_ @t2 @t95)))) % 0.38/0.60 (define @t105 () (not @t104)) % 0.38/0.60 (define @t106 () (not @t94)) % 0.38/0.60 (define @t107 () (or @t106 @t105 @t102 @t99 @t97)) % 0.38/0.60 (define @t108 () (@list true)) % 0.38/0.60 (define @t109 () (@list @t107)) % 0.38/0.60 (define @t110 () (forall @t17 (or @t103 @t100))) % 0.38/0.60 (define @t111 () (@quantifiers_skolemize @t110 0)) % 0.38/0.60 (define @t112 () (@list @t96)) % 0.38/0.60 (define @t113 () (not @t110)) % 0.38/0.60 (define @t114 () (or @t113 @t99 @t97)) % 0.38/0.60 (define @t115 () (@list false true false)) % 0.38/0.60 (define @t116 () (_ @t96 @t111)) % 0.38/0.60 (define @t117 () (_ @t90 @t89 @t111)) % 0.38/0.60 (define @t118 () (not @t117)) % 0.38/0.60 (define @t119 () (or @t118 @t116)) % 0.38/0.60 (define @t120 () (@list @t119)) % 0.38/0.60 (define @t121 () (_ @t96 @t89)) % 0.38/0.60 (define @t122 () (not @t121)) % 0.38/0.60 (define @t123 () (or @t122 @t118 @t116)) % 0.38/0.60 (define @t124 () (or @t102 @t99 @t121)) % 0.38/0.60 (define @t125 () (not @t124)) % 0.38/0.60 (assume @p1 @t36) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule aci_norm :args ((= @t64 @t62))) % 0.38/0.60 (step @p4 :rule cong :premises (@p3) :args (@t66)) % 0.38/0.60 (step @p5 :rule quant-merge-prenex :args ((= (forall @t34 @t68) @t66))) % 0.38/0.60 (step @p6 :rule alpha_equiv :args (@t69 (@list @t37) (@list @t2))) % 0.38/0.60 (step @p7 :rule refl :args (@t56)) % 0.38/0.60 (step @p8 :rule refl :args (@t61)) % 0.38/0.60 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t70)) % 0.38/0.60 (step @p10 :rule quant-miniscope-or :args ((= @t68 @t70))) % 0.38/0.60 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.60 (step @p12 :rule symm :premises (@p11)) % 0.38/0.60 (step @p13 :rule cong :premises (@p12) :args ((forall @t34 @t72))) % 0.38/0.60 (step @p14 :rule trans :premises (@p13 @p5)) % 0.38/0.60 (step @p15 :rule trans :premises (@p14 @p4)) % 0.38/0.60 (step @p16 :rule aci_norm :args ((= (or (or @t61 @t56) @t71) @t72))) % 0.38/0.60 (step @p17 :rule refl :args (@t71)) % 0.38/0.60 (step @p18 :rule bool-and-de-morgan :args (@t60 @t55 true)) % 0.38/0.60 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t73) @t71))) % 0.38/0.60 (step @p20 :rule trans :premises (@p19 @p16)) % 0.38/0.60 (step @p21 :rule bool-impl-elim :args (@t73 @t71)) % 0.38/0.60 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.60 (step @p23 :rule cong :premises (@p22) :args ((forall @t34 (=> @t73 @t71)))) % 0.38/0.60 (step @p24 :rule trans :premises (@p23 @p15)) % 0.38/0.60 (step @p25 :rule refl :args (@t45)) % 0.38/0.60 (step @p26 :rule refl :args (@t3)) % 0.38/0.60 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t3 @t45))) % 0.38/0.60 (step @p28 :rule symm :premises (@p27)) % 0.38/0.60 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.38/0.60 (step @p30 :rule refl :args (@t50)) % 0.38/0.60 (step @p31 :rule refl :args (@t59)) % 0.38/0.60 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args (@t74)) % 0.38/0.60 (step @p33 :rule cong :premises (@p32) :args ((forall @t21 @t74))) % 0.38/0.60 (step @p34 :rule aci_norm :args ((= (or @t75 @t3) @t74))) % 0.38/0.60 (step @p35 :rule bool-and-de-morgan :args (@t58 @t49 true)) % 0.38/0.60 (step @p36 :rule nary_cong :premises (@p35 @p26) :args ((or @t77 @t3))) % 0.38/0.60 (step @p37 :rule trans :premises (@p36 @p34)) % 0.38/0.60 (step @p38 :rule bool-impl-elim :args (@t76 @t3)) % 0.38/0.60 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.60 (step @p40 :rule cong :premises (@p39) :args ((forall @t21 (=> @t76 @t3)))) % 0.38/0.60 (step @p41 :rule trans :premises (@p40 @p33)) % 0.38/0.60 (step @p42 :rule refl :args (@t3)) % 0.38/0.60 (step @p43 :rule refl :args (@t46)) % 0.38/0.60 (step @p44 :rule refl :args (@t5)) % 0.38/0.60 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t5 @t46))) % 0.38/0.60 (step @p46 :rule symm :premises (@p45)) % 0.38/0.60 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.38/0.60 (step @p48 :rule refl :args (@t39)) % 0.38/0.60 (step @p49 :rule refl :args (@t8)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t8 @t39))) % 0.38/0.60 (step @p51 :rule symm :premises (@p50)) % 0.38/0.60 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.38/0.60 (step @p53 :rule cong :premises (@p52) :args (@t78)) % 0.38/0.60 (step @p54 :rule refl :args (@t47)) % 0.38/0.60 (step @p55 :rule refl :args (@t9)) % 0.38/0.60 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t9 @t47))) % 0.38/0.60 (step @p57 :rule symm :premises (@p56)) % 0.38/0.60 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.38/0.60 (step @p59 :rule cong :premises (@p58) :args (@t79)) % 0.38/0.60 (step @p60 :rule nary_cong :premises (@p59 @p53 @p47) :args (@t80)) % 0.38/0.60 (step @p61 :rule cong :premises (@p60) :args ((forall @t11 @t80))) % 0.38/0.60 (step @p62 :rule aci_norm :args ((= (or (or @t79 @t78) @t5) @t80))) % 0.38/0.60 (step @p63 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 0.38/0.60 (step @p64 :rule nary_cong :premises (@p63 @p44) :args ((or (not @t10) @t5))) % 0.38/0.60 (step @p65 :rule trans :premises (@p64 @p62)) % 0.38/0.60 (step @p66 :rule bool-impl-elim :args (@t10 @t5)) % 0.38/0.60 (step @p67 :rule trans :premises (@p66 @p65)) % 0.38/0.60 (step @p68 :rule cong :premises (@p67) :args (@t12)) % 0.38/0.60 (step @p69 :rule trans :premises (@p68 @p61)) % 0.38/0.60 (step @p70 :rule refl :args (@t51)) % 0.38/0.60 (step @p71 :rule refl :args (@t14)) % 0.38/0.60 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t14 @t51))) % 0.38/0.60 (step @p73 :rule symm :premises (@p72)) % 0.38/0.60 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.38/0.60 (step @p75 :rule refl :args (@t42)) % 0.38/0.60 (step @p76 :rule refl :args (@t16)) % 0.38/0.60 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t16 @t42))) % 0.38/0.60 (step @p78 :rule symm :premises (@p77)) % 0.38/0.60 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.38/0.60 (step @p80 :rule cong :premises (@p79) :args (@t81)) % 0.38/0.60 (step @p81 :rule nary_cong :premises (@p80 @p74) :args (@t82)) % 0.38/0.60 (step @p82 :rule cong :premises (@p81) :args ((forall @t17 @t82))) % 0.38/0.60 (step @p83 :rule bool-impl-elim :args (@t16 @t14)) % 0.38/0.60 (step @p84 :rule cong :premises (@p83) :args (@t18)) % 0.38/0.60 (step @p85 :rule trans :premises (@p84 @p82)) % 0.38/0.60 (step @p86 :rule nary_cong :premises (@p85 @p69) :args (@t19)) % 0.38/0.60 (step @p87 :rule cong :premises (@p86 @p42) :args (@t20)) % 0.38/0.60 (step @p88 :rule cong :premises (@p87) :args (@t22)) % 0.38/0.60 (step @p89 :rule trans :premises (@p88 @p41)) % 0.38/0.60 (step @p90 :rule refl :args (@t54)) % 0.38/0.60 (step @p91 :rule nary_cong :premises (@p90 @p30 @p29) :args (@t83)) % 0.38/0.60 (step @p92 :rule cong :premises (@p91) :args ((forall @t21 @t83))) % 0.38/0.60 (step @p93 :rule aci_norm :args ((= (or (or @t54 @t50) @t3) @t83))) % 0.38/0.60 (step @p94 :rule bool-and-de-morgan :args (@t53 @t49 true)) % 0.38/0.60 (step @p95 :rule nary_cong :premises (@p94 @p26) :args ((or (not @t84) @t3))) % 0.38/0.60 (step @p96 :rule trans :premises (@p95 @p93)) % 0.38/0.60 (step @p97 :rule bool-impl-elim :args (@t84 @t3)) % 0.38/0.60 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.60 (step @p99 :rule cong :premises (@p98) :args ((forall @t21 (=> @t84 @t3)))) % 0.38/0.60 (step @p100 :rule trans :premises (@p99 @p92)) % 0.38/0.60 (step @p101 :rule refl :args (@t52)) % 0.38/0.60 (step @p102 :rule refl :args (@t24)) % 0.38/0.60 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t24 @t52))) % 0.38/0.60 (step @p104 :rule symm :premises (@p103)) % 0.38/0.60 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.38/0.60 (step @p106 :rule cong :premises (@p105) :args (@t85)) % 0.38/0.60 (step @p107 :rule nary_cong :premises (@p106 @p74) :args (@t86)) % 0.38/0.60 (step @p108 :rule cong :premises (@p107) :args ((forall @t17 @t86))) % 0.38/0.60 (step @p109 :rule bool-impl-elim :args (@t24 @t14)) % 0.38/0.60 (step @p110 :rule cong :premises (@p109) :args (@t25)) % 0.38/0.60 (step @p111 :rule trans :premises (@p110 @p108)) % 0.38/0.60 (step @p112 :rule nary_cong :premises (@p111 @p69) :args (@t26)) % 0.38/0.60 (step @p113 :rule cong :premises (@p112 @p42) :args (@t27)) % 0.38/0.60 (step @p114 :rule cong :premises (@p113) :args (@t28)) % 0.38/0.60 (step @p115 :rule trans :premises (@p114 @p100)) % 0.38/0.60 (step @p116 :rule refl :args (@t57)) % 0.38/0.60 (step @p117 :rule refl :args (@t29)) % 0.38/0.60 (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t29 @t57))) % 0.38/0.60 (step @p119 :rule symm :premises (@p118)) % 0.38/0.60 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 0.38/0.60 (step @p121 :rule nary_cong :premises (@p31 @p30 @p120) :args (@t87)) % 0.38/0.60 (step @p122 :rule cong :premises (@p121) :args ((forall @t21 @t87))) % 0.38/0.60 (step @p123 :rule aci_norm :args ((= (or @t75 @t29) @t87))) % 0.38/0.60 (step @p124 :rule nary_cong :premises (@p35 @p117) :args ((or @t77 @t29))) % 0.38/0.60 (step @p125 :rule trans :premises (@p124 @p123)) % 0.38/0.60 (step @p126 :rule bool-impl-elim :args (@t76 @t29)) % 0.38/0.60 (step @p127 :rule trans :premises (@p126 @p125)) % 0.38/0.60 (step @p128 :rule cong :premises (@p127) :args ((forall @t21 (=> @t76 @t29)))) % 0.38/0.60 (step @p129 :rule trans :premises (@p128 @p122)) % 0.38/0.60 (step @p130 :rule refl :args (@t29)) % 0.38/0.60 (step @p131 :rule cong :premises (@p86 @p130) :args (@t30)) % 0.38/0.60 (step @p132 :rule cong :premises (@p131) :args (@t31)) % 0.38/0.60 (step @p133 :rule trans :premises (@p132 @p129)) % 0.38/0.60 (step @p134 :rule nary_cong :premises (@p133 @p115) :args (@t32)) % 0.38/0.60 (step @p135 :rule cong :premises (@p134 @p89) :args (@t33)) % 0.38/0.60 (step @p136 :rule cong :premises (@p135) :args (@t35)) % 0.38/0.60 (step @p137 :rule trans :premises (@p136 @p24)) % 0.38/0.60 (step @p138 :rule cong :premises (@p137) :args (@t36)) % 0.38/0.60 (step @p139 :rule eq_resolve :premises (@p1 @p138)) % 0.38/0.60 (step @p140 :rule skolemize :premises (@p139)) % 0.38/0.60 (step @p141 :rule bool-double-not-elim :args (@t94)) % 0.38/0.60 (step @p142 :rule refl :args (@t107)) % 0.38/0.60 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t107 (not @t106)))) % 0.38/0.60 (step @p144 :rule cnf_or_neg :args (@t107 0)) % 0.38/0.60 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.38/0.60 (step @p146 :rule reordering :premises (@p145) :args ((or @t94 @t107))) % 0.38/0.60 (step @p147 :rule chain_m_resolution :premises (@p146 @p140) :args (@t94 @t108 @t109)) % 0.38/0.60 (step @p148 :rule bool-double-not-elim :args (@t98)) % 0.38/0.60 (step @p149 :rule nary_cong :premises (@p142 @p148) :args ((or @t107 (not @t99)))) % 0.38/0.60 (step @p150 :rule cnf_or_neg :args (@t107 3)) % 0.38/0.60 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.38/0.60 (step @p152 :rule reordering :premises (@p151) :args ((or @t98 @t107))) % 0.38/0.60 (step @p153 :rule chain_m_resolution :premises (@p152 @p140) :args (@t98 @t108 @t109)) % 0.38/0.60 (step @p154 :rule instantiate :premises (@p153) :args ((@list @t89 @t111))) % 0.38/0.60 (step @p155 :rule bool-double-not-elim :args (@t104)) % 0.38/0.60 (step @p156 :rule nary_cong :premises (@p142 @p155) :args ((or @t107 (not @t105)))) % 0.38/0.60 (step @p157 :rule cnf_or_neg :args (@t107 1)) % 0.38/0.60 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.38/0.60 (step @p159 :rule reordering :premises (@p158) :args ((or @t104 @t107))) % 0.38/0.60 (step @p160 :rule chain_m_resolution :premises (@p159 @p140) :args (@t104 @t108 @t109)) % 0.38/0.60 (step @p161 :rule instantiate :premises (@p160) :args (@t112)) % 0.38/0.60 (step @p162 :rule cnf_or_neg :args (@t107 4)) % 0.38/0.60 (step @p163 :rule chain_m_resolution :premises (@p162 @p140) :args ((not @t97) @t108 @t109)) % 0.38/0.60 (step @p164 :rule cnf_or_pos :args (@t114)) % 0.38/0.60 (step @p165 :rule reordering :premises (@p164) :args ((or @t99 @t97 @t113 (not @t114)))) % 0.38/0.60 (step @p166 :rule chain_m_resolution :premises (@p165 @p153 @p163 @p161) :args (@t113 @t115 (@list @t98 @t97 @t114))) % 0.38/0.60 (step @p167 :rule skolemize :premises (@p166)) % 0.38/0.60 (step @p168 :rule cnf_or_neg :args (@t119 1)) % 0.38/0.60 (step @p169 :rule chain_m_resolution :premises (@p168 @p167) :args ((not @t116) @t108 @t120)) % 0.38/0.60 (step @p170 :rule bool-double-not-elim :args (@t117)) % 0.38/0.60 (step @p171 :rule refl :args (@t119)) % 0.38/0.60 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t119 (not @t118)))) % 0.38/0.60 (step @p173 :rule cnf_or_neg :args (@t119 0)) % 0.38/0.60 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.38/0.60 (step @p175 :rule reordering :premises (@p174) :args ((or @t117 @t119))) % 0.38/0.60 (step @p176 :rule chain_m_resolution :premises (@p175 @p167) :args (@t117 @t108 @t120)) % 0.38/0.60 (step @p177 :rule cnf_or_pos :args (@t123)) % 0.38/0.60 (step @p178 :rule reordering :premises (@p177) :args ((or @t118 @t116 @t122 (not @t123)))) % 0.38/0.60 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p169 @p154) :args (@t122 @t115 (@list @t117 @t116 @t123))) % 0.38/0.60 (step @p180 :rule bool-double-not-elim :args (@t101)) % 0.38/0.60 (step @p181 :rule nary_cong :premises (@p142 @p180) :args ((or @t107 (not @t102)))) % 0.38/0.60 (step @p182 :rule cnf_or_neg :args (@t107 2)) % 0.38/0.60 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.38/0.60 (step @p184 :rule reordering :premises (@p183) :args ((or @t101 @t107))) % 0.38/0.60 (step @p185 :rule chain_m_resolution :premises (@p184 @p140) :args (@t101 @t108 @t109)) % 0.38/0.60 (step @p186 :rule cnf_or_pos :args (@t124)) % 0.38/0.60 (step @p187 :rule reordering :premises (@p186) :args ((or @t102 @t99 @t121 @t125))) % 0.38/0.60 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p153 @p179) :args (@t125 (@list false false true) (@list @t101 @t98 @t121))) % 0.38/0.60 (assume-push @p195 @t94) % 0.38/0.60 (step @p190 :rule instantiate :premises (@p147) :args (@t112)) % 0.38/0.60 (step-pop @p196 :rule scope :premises (@p190)) % 0.38/0.60 (step @p191 :rule process_scope :premises (@p196) :args (@t124)) % 0.38/0.60 (step @p193 :rule implies_elim :premises (@p191)) % 0.38/0.60 (step @p194 false :rule chain_m_resolution :premises (@p193 @p188 @p147) :args (false (@list true false) (@list @t124 @t94))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------