%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV062^5 : 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 : n008.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 08:55:23 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV062^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:11:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.61 (define @t3 () (@var "Xp" (-> $$unsorted $$unsorted Bool))) % 0.38/0.61 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.38/0.61 (define @t5 () (@var "Xz" $$unsorted)) % 0.38/0.61 (define @t6 () (@var "Xx0" $$unsorted)) % 0.38/0.61 (define @t7 () (_ @t3 @t6)) % 0.38/0.61 (define @t8 () (_ @t7 @t5)) % 0.38/0.61 (define @t9 () (@var "Xy0" $$unsorted)) % 0.38/0.61 (define @t10 () (_ (_ @t3 @t9) @t5)) % 0.38/0.61 (define @t11 () (_ @t7 @t9)) % 0.38/0.61 (define @t12 () (and @t11 @t10)) % 0.38/0.61 (define @t13 () (@list @t6 @t9 @t5)) % 0.38/0.61 (define @t14 () (forall @t13 (=> @t12 @t8))) % 0.38/0.61 (define @t15 () (@var "Xr" (-> $$unsorted $$unsorted Bool))) % 0.38/0.61 (define @t16 () (_ (_ @t15 @t6) @t9)) % 0.38/0.61 (define @t17 () (@list @t6 @t9)) % 0.38/0.61 (define @t18 () (forall @t17 (=> @t16 @t11))) % 0.38/0.61 (define @t19 () (and @t18 @t14)) % 0.38/0.61 (define @t20 () (=> @t19 @t4)) % 0.38/0.61 (define @t21 () (@list @t3)) % 0.38/0.61 (define @t22 () (forall @t21 @t20)) % 0.38/0.61 (define @t23 () (@var "Xw" $$unsorted)) % 0.38/0.61 (define @t24 () (@var "Xu" $$unsorted)) % 0.38/0.61 (define @t25 () (_ @t3 @t24)) % 0.38/0.61 (define @t26 () (_ @t25 @t23)) % 0.38/0.61 (define @t27 () (@var "Xv" $$unsorted)) % 0.38/0.61 (define @t28 () (_ (_ @t15 @t27) @t23)) % 0.38/0.61 (define @t29 () (_ @t25 @t27)) % 0.38/0.61 (define @t30 () (and @t29 @t28)) % 0.38/0.61 (define @t31 () (@list @t24 @t27 @t23)) % 0.38/0.61 (define @t32 () (forall @t31 (=> @t30 @t26))) % 0.38/0.61 (define @t33 () (and @t18 @t32)) % 0.38/0.61 (define @t34 () (=> @t33 @t4)) % 0.38/0.61 (define @t35 () (forall @t21 @t34)) % 0.38/0.61 (define @t36 () (=> @t35 @t22)) % 0.38/0.61 (define @t37 () (@list @t15 @t2 @t1)) % 0.38/0.61 (define @t38 () (forall @t37 @t36)) % 0.38/0.61 (define @t39 () (not @t38)) % 0.38/0.61 (define @t40 () (@var "BOUND_VARIABLE_7514" (-> $$unsorted $$unsorted Bool))) % 0.38/0.61 (define @t41 () (_ @t40 @t2 @t1)) % 0.38/0.61 (define @t42 () (_ @t40 @t6 @t9)) % 0.38/0.61 (define @t43 () (not (forall @t13 (or (not @t42) (not (_ @t40 @t9 @t5)) (_ @t40 @t6 @t5))))) % 0.38/0.61 (define @t44 () (_ @t15 @t6 @t9)) % 0.38/0.61 (define @t45 () (not @t44)) % 0.38/0.61 (define @t46 () (not (forall @t17 (or @t45 @t42)))) % 0.38/0.61 (define @t47 () (_ @t3 @t2 @t1)) % 0.38/0.61 (define @t48 () (_ @t3 @t24 @t23)) % 0.38/0.61 (define @t49 () (_ @t15 @t27 @t23)) % 0.38/0.61 (define @t50 () (_ @t3 @t24 @t27)) % 0.38/0.61 (define @t51 () (not @t50)) % 0.38/0.61 (define @t52 () (forall @t31 (or @t51 (not @t49) @t48))) % 0.38/0.61 (define @t53 () (not @t52)) % 0.38/0.61 (define @t54 () (_ @t3 @t6 @t9)) % 0.38/0.61 (define @t55 () (forall @t17 (or @t45 @t54))) % 0.38/0.61 (define @t56 () (not @t55)) % 0.38/0.61 (define @t57 () (forall @t21 (or @t56 @t53 @t47))) % 0.38/0.61 (define @t58 () (not @t57)) % 0.38/0.61 (define @t59 () (or @t58 @t46 @t43 @t41)) % 0.38/0.61 (define @t60 () (or @t46 @t43 @t41)) % 0.38/0.61 (define @t61 () (or @t58 @t60)) % 0.38/0.61 (define @t62 () (@list @t15 @t2 @t1 @t40)) % 0.38/0.61 (define @t63 () (forall @t62 @t61)) % 0.38/0.61 (define @t64 () (@list @t40)) % 0.38/0.61 (define @t65 () (forall @t64 @t61)) % 0.38/0.61 (define @t66 () (forall @t64 @t60)) % 0.38/0.61 (define @t67 () (or @t58 @t66)) % 0.38/0.61 (define @t68 () (_ @t3 @t6 @t5)) % 0.38/0.61 (define @t69 () (_ @t3 @t9 @t5)) % 0.38/0.61 (define @t70 () (forall @t13 (or (not @t54) (not @t69) @t68))) % 0.38/0.61 (define @t71 () (not @t70)) % 0.38/0.61 (define @t72 () (forall @t21 (or @t56 @t71 @t47))) % 0.38/0.61 (define @t73 () (or @t56 @t71 @t4)) % 0.38/0.61 (define @t74 () (and @t55 @t70)) % 0.38/0.61 (define @t75 () (not @t10)) % 0.38/0.61 (define @t76 () (not @t11)) % 0.38/0.61 (define @t77 () (or @t76 @t75 @t8)) % 0.38/0.61 (define @t78 () (not @t16)) % 0.38/0.61 (define @t79 () (or @t78 @t11)) % 0.38/0.61 (define @t80 () (or @t56 @t53 @t4)) % 0.38/0.61 (define @t81 () (and @t55 @t52)) % 0.38/0.61 (define @t82 () (not @t28)) % 0.38/0.61 (define @t83 () (not @t29)) % 0.38/0.61 (define @t84 () (or @t83 @t82 @t26)) % 0.38/0.61 (define @t85 () (forall @t62 @t59)) % 0.38/0.61 (define @t86 () (@quantifiers_skolemize @t85 2)) % 0.38/0.61 (define @t87 () (@quantifiers_skolemize @t85 1)) % 0.38/0.61 (define @t88 () (@quantifiers_skolemize @t85 0)) % 0.38/0.61 (define @t89 () (not (_ @t88 @t27 @t23))) % 0.38/0.61 (define @t90 () (not (_ @t88 @t6 @t9))) % 0.38/0.61 (define @t91 () (forall @t21 (or (not (forall @t17 (or @t90 @t54))) (not (forall @t31 (or @t51 @t89 @t48))) (_ @t3 @t87 @t86)))) % 0.38/0.61 (define @t92 () (@quantifiers_skolemize @t85 3)) % 0.38/0.61 (define @t93 () (_ @t92 @t87 @t86)) % 0.38/0.61 (define @t94 () (_ @t92 @t6 @t9)) % 0.38/0.61 (define @t95 () (forall @t13 (or (not @t94) (not (_ @t92 @t9 @t5)) (_ @t92 @t6 @t5)))) % 0.38/0.61 (define @t96 () (not @t95)) % 0.38/0.61 (define @t97 () (forall @t17 (or @t90 @t94))) % 0.38/0.61 (define @t98 () (not @t97)) % 0.38/0.61 (define @t99 () (not @t91)) % 0.38/0.61 (define @t100 () (or @t99 @t98 @t96 @t93)) % 0.38/0.61 (define @t101 () (@list true)) % 0.38/0.61 (define @t102 () (@list @t100)) % 0.38/0.61 (define @t103 () (forall @t31 (or (not (_ @t92 @t24 @t27)) @t89 (_ @t92 @t24 @t23)))) % 0.38/0.61 (define @t104 () (not @t103)) % 0.38/0.61 (define @t105 () (or @t98 @t104 @t93)) % 0.38/0.61 (define @t106 () (@quantifiers_skolemize @t103 1)) % 0.38/0.61 (define @t107 () (@quantifiers_skolemize @t103 0)) % 0.38/0.61 (define @t108 () (_ @t92 @t107 @t106)) % 0.38/0.61 (define @t109 () (@quantifiers_skolemize @t103 2)) % 0.38/0.61 (define @t110 () (_ @t92 @t107 @t109)) % 0.38/0.61 (define @t111 () (_ @t88 @t106 @t109)) % 0.38/0.61 (define @t112 () (not @t111)) % 0.38/0.61 (define @t113 () (not @t108)) % 0.38/0.61 (define @t114 () (or @t113 @t112 @t110)) % 0.38/0.61 (define @t115 () (@list @t114)) % 0.38/0.61 (define @t116 () (_ @t92 @t106 @t109)) % 0.38/0.61 (define @t117 () (or @t112 @t116)) % 0.38/0.61 (define @t118 () (not @t116)) % 0.38/0.61 (define @t119 () (or @t113 @t118 @t110)) % 0.38/0.61 (assume @p1 @t39) % 0.38/0.61 (assume @p2 true) % 0.38/0.61 (step @p3 :rule aci_norm :args ((= @t61 @t59))) % 0.38/0.61 (step @p4 :rule cong :premises (@p3) :args (@t63)) % 0.38/0.61 (step @p5 :rule quant-merge-prenex :args ((= (forall @t37 @t65) @t63))) % 0.38/0.61 (step @p6 :rule alpha_equiv :args (@t66 (@list @t40) (@list @t3))) % 0.38/0.61 (step @p7 :rule refl :args (@t58)) % 0.38/0.61 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t67)) % 0.38/0.61 (step @p9 :rule quant-miniscope-or :args ((= @t65 @t67))) % 0.38/0.61 (step @p10 :rule trans :premises (@p9 @p8)) % 0.38/0.61 (step @p11 :rule symm :premises (@p10)) % 0.38/0.61 (step @p12 :rule cong :premises (@p11) :args ((forall @t37 (or @t58 @t72)))) % 0.38/0.61 (step @p13 :rule trans :premises (@p12 @p5)) % 0.38/0.61 (step @p14 :rule trans :premises (@p13 @p4)) % 0.38/0.61 (step @p15 :rule bool-impl-elim :args (@t57 @t72)) % 0.38/0.61 (step @p16 :rule cong :premises (@p15) :args ((forall @t37 (=> @t57 @t72)))) % 0.38/0.61 (step @p17 :rule trans :premises (@p16 @p14)) % 0.38/0.61 (step @p18 :rule refl :args (@t47)) % 0.38/0.61 (step @p19 :rule refl :args (@t4)) % 0.38/0.61 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t4 @t47))) % 0.38/0.61 (step @p21 :rule symm :premises (@p20)) % 0.38/0.61 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.61 (step @p23 :rule refl :args (@t71)) % 0.38/0.61 (step @p24 :rule refl :args (@t56)) % 0.38/0.61 (step @p25 :rule nary_cong :premises (@p24 @p23 @p22) :args (@t73)) % 0.38/0.61 (step @p26 :rule cong :premises (@p25) :args ((forall @t21 @t73))) % 0.38/0.61 (step @p27 :rule aci_norm :args ((= (or (or @t56 @t71) @t4) @t73))) % 0.38/0.61 (step @p28 :rule bool-and-de-morgan :args (@t55 @t70 true)) % 0.38/0.61 (step @p29 :rule nary_cong :premises (@p28 @p19) :args ((or (not @t74) @t4))) % 0.38/0.61 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.61 (step @p31 :rule bool-impl-elim :args (@t74 @t4)) % 0.38/0.61 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.61 (step @p33 :rule cong :premises (@p32) :args ((forall @t21 (=> @t74 @t4)))) % 0.38/0.61 (step @p34 :rule trans :premises (@p33 @p26)) % 0.38/0.61 (step @p35 :rule refl :args (@t4)) % 0.38/0.61 (step @p36 :rule refl :args (@t68)) % 0.38/0.61 (step @p37 :rule refl :args (@t8)) % 0.38/0.61 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t8 @t68))) % 0.38/0.61 (step @p39 :rule symm :premises (@p38)) % 0.38/0.61 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.38/0.61 (step @p41 :rule refl :args (@t69)) % 0.38/0.61 (step @p42 :rule refl :args (@t10)) % 0.38/0.61 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t10 @t69))) % 0.38/0.61 (step @p44 :rule symm :premises (@p43)) % 0.38/0.61 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.38/0.61 (step @p46 :rule cong :premises (@p45) :args (@t75)) % 0.38/0.61 (step @p47 :rule refl :args (@t54)) % 0.38/0.61 (step @p48 :rule refl :args (@t11)) % 0.38/0.61 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t11 @t54))) % 0.38/0.61 (step @p50 :rule symm :premises (@p49)) % 0.38/0.61 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.38/0.61 (step @p52 :rule cong :premises (@p51) :args (@t76)) % 0.38/0.61 (step @p53 :rule nary_cong :premises (@p52 @p46 @p40) :args (@t77)) % 0.38/0.61 (step @p54 :rule cong :premises (@p53) :args ((forall @t13 @t77))) % 0.38/0.61 (step @p55 :rule aci_norm :args ((= (or (or @t76 @t75) @t8) @t77))) % 0.38/0.61 (step @p56 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.38/0.61 (step @p57 :rule nary_cong :premises (@p56 @p37) :args ((or (not @t12) @t8))) % 0.38/0.61 (step @p58 :rule trans :premises (@p57 @p55)) % 0.38/0.61 (step @p59 :rule bool-impl-elim :args (@t12 @t8)) % 0.38/0.61 (step @p60 :rule trans :premises (@p59 @p58)) % 0.38/0.61 (step @p61 :rule cong :premises (@p60) :args (@t14)) % 0.38/0.61 (step @p62 :rule trans :premises (@p61 @p54)) % 0.38/0.61 (step @p63 :rule refl :args (@t44)) % 0.38/0.61 (step @p64 :rule refl :args (@t16)) % 0.38/0.61 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t16 @t44))) % 0.38/0.61 (step @p66 :rule symm :premises (@p65)) % 0.38/0.61 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.38/0.61 (step @p68 :rule cong :premises (@p67) :args (@t78)) % 0.38/0.61 (step @p69 :rule nary_cong :premises (@p68 @p51) :args (@t79)) % 0.38/0.61 (step @p70 :rule cong :premises (@p69) :args ((forall @t17 @t79))) % 0.38/0.61 (step @p71 :rule bool-impl-elim :args (@t16 @t11)) % 0.38/0.61 (step @p72 :rule cong :premises (@p71) :args (@t18)) % 0.38/0.61 (step @p73 :rule trans :premises (@p72 @p70)) % 0.38/0.61 (step @p74 :rule nary_cong :premises (@p73 @p62) :args (@t19)) % 0.38/0.61 (step @p75 :rule cong :premises (@p74 @p35) :args (@t20)) % 0.38/0.61 (step @p76 :rule cong :premises (@p75) :args (@t22)) % 0.38/0.61 (step @p77 :rule trans :premises (@p76 @p34)) % 0.38/0.61 (step @p78 :rule refl :args (@t53)) % 0.38/0.61 (step @p79 :rule nary_cong :premises (@p24 @p78 @p22) :args (@t80)) % 0.38/0.61 (step @p80 :rule cong :premises (@p79) :args ((forall @t21 @t80))) % 0.38/0.61 (step @p81 :rule aci_norm :args ((= (or (or @t56 @t53) @t4) @t80))) % 0.38/0.61 (step @p82 :rule bool-and-de-morgan :args (@t55 @t52 true)) % 0.38/0.61 (step @p83 :rule nary_cong :premises (@p82 @p19) :args ((or (not @t81) @t4))) % 0.38/0.61 (step @p84 :rule trans :premises (@p83 @p81)) % 0.38/0.61 (step @p85 :rule bool-impl-elim :args (@t81 @t4)) % 0.38/0.61 (step @p86 :rule trans :premises (@p85 @p84)) % 0.38/0.61 (step @p87 :rule cong :premises (@p86) :args ((forall @t21 (=> @t81 @t4)))) % 0.38/0.61 (step @p88 :rule trans :premises (@p87 @p80)) % 0.38/0.61 (step @p89 :rule refl :args (@t48)) % 0.38/0.61 (step @p90 :rule refl :args (@t26)) % 0.38/0.61 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t26 @t48))) % 0.38/0.61 (step @p92 :rule symm :premises (@p91)) % 0.38/0.61 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.38/0.61 (step @p94 :rule refl :args (@t49)) % 0.38/0.61 (step @p95 :rule refl :args (@t28)) % 0.38/0.61 (step @p96 :rule cong :premises (@p95 @p94) :args ((= @t28 @t49))) % 0.38/0.61 (step @p97 :rule symm :premises (@p96)) % 0.38/0.61 (step @p98 :rule eq_resolve :premises (@p95 @p97)) % 0.38/0.61 (step @p99 :rule cong :premises (@p98) :args (@t82)) % 0.38/0.61 (step @p100 :rule refl :args (@t50)) % 0.38/0.61 (step @p101 :rule refl :args (@t29)) % 0.38/0.61 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t29 @t50))) % 0.38/0.61 (step @p103 :rule symm :premises (@p102)) % 0.38/0.61 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.38/0.61 (step @p105 :rule cong :premises (@p104) :args (@t83)) % 0.38/0.61 (step @p106 :rule nary_cong :premises (@p105 @p99 @p93) :args (@t84)) % 0.38/0.61 (step @p107 :rule cong :premises (@p106) :args ((forall @t31 @t84))) % 0.38/0.61 (step @p108 :rule aci_norm :args ((= (or (or @t83 @t82) @t26) @t84))) % 0.38/0.61 (step @p109 :rule bool-and-de-morgan :args (@t29 @t28 true)) % 0.38/0.61 (step @p110 :rule nary_cong :premises (@p109 @p90) :args ((or (not @t30) @t26))) % 0.38/0.61 (step @p111 :rule trans :premises (@p110 @p108)) % 0.38/0.61 (step @p112 :rule bool-impl-elim :args (@t30 @t26)) % 0.38/0.61 (step @p113 :rule trans :premises (@p112 @p111)) % 0.38/0.61 (step @p114 :rule cong :premises (@p113) :args (@t32)) % 0.38/0.61 (step @p115 :rule trans :premises (@p114 @p107)) % 0.38/0.61 (step @p116 :rule nary_cong :premises (@p73 @p115) :args (@t33)) % 0.38/0.61 (step @p117 :rule cong :premises (@p116 @p35) :args (@t34)) % 0.38/0.61 (step @p118 :rule cong :premises (@p117) :args (@t35)) % 0.38/0.61 (step @p119 :rule trans :premises (@p118 @p88)) % 0.38/0.61 (step @p120 :rule cong :premises (@p119 @p77) :args (@t36)) % 0.38/0.61 (step @p121 :rule cong :premises (@p120) :args (@t38)) % 0.38/0.61 (step @p122 :rule trans :premises (@p121 @p17)) % 0.38/0.61 (step @p123 :rule cong :premises (@p122) :args (@t39)) % 0.38/0.61 (step @p124 :rule eq_resolve :premises (@p1 @p123)) % 0.38/0.61 (step @p125 :rule skolemize :premises (@p124)) % 0.38/0.61 (step @p126 :rule bool-double-not-elim :args (@t91)) % 0.38/0.61 (step @p127 :rule refl :args (@t100)) % 0.38/0.61 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t100 (not @t99)))) % 0.38/0.61 (step @p129 :rule cnf_or_neg :args (@t100 0)) % 0.38/0.61 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.38/0.61 (step @p131 :rule reordering :premises (@p130) :args ((or @t91 @t100))) % 0.38/0.61 (step @p132 :rule chain_m_resolution :premises (@p131 @p125) :args (@t91 @t101 @t102)) % 0.38/0.61 (step @p133 :rule instantiate :premises (@p132) :args ((@list @t92))) % 0.38/0.61 (step @p134 :rule cnf_or_neg :args (@t100 3)) % 0.38/0.61 (step @p135 :rule chain_m_resolution :premises (@p134 @p125) :args ((not @t93) @t101 @t102)) % 0.38/0.61 (step @p136 :rule bool-double-not-elim :args (@t97)) % 0.38/0.61 (step @p137 :rule nary_cong :premises (@p127 @p136) :args ((or @t100 (not @t98)))) % 0.38/0.61 (step @p138 :rule cnf_or_neg :args (@t100 1)) % 0.38/0.61 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.38/0.61 (step @p140 :rule reordering :premises (@p139) :args ((or @t97 @t100))) % 0.38/0.61 (step @p141 :rule chain_m_resolution :premises (@p140 @p125) :args (@t97 @t101 @t102)) % 0.38/0.61 (step @p142 :rule cnf_or_pos :args (@t105)) % 0.38/0.61 (step @p143 :rule reordering :premises (@p142) :args ((or @t98 @t93 @t104 (not @t105)))) % 0.38/0.61 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p135 @p133) :args (@t104 (@list false true false) (@list @t97 @t93 @t105))) % 0.38/0.61 (step @p145 :rule skolemize :premises (@p144)) % 0.38/0.61 (step @p146 :rule bool-double-not-elim :args (@t108)) % 0.38/0.61 (step @p147 :rule refl :args (@t114)) % 0.38/0.61 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t114 (not @t113)))) % 0.38/0.61 (step @p149 :rule cnf_or_neg :args (@t114 0)) % 0.38/0.61 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 0.38/0.61 (step @p151 :rule reordering :premises (@p150) :args ((or @t108 @t114))) % 0.38/0.61 (step @p152 :rule chain_m_resolution :premises (@p151 @p145) :args (@t108 @t101 @t115)) % 0.38/0.61 (step @p153 :rule cnf_or_neg :args (@t114 2)) % 0.38/0.61 (step @p154 :rule chain_m_resolution :premises (@p153 @p145) :args ((not @t110) @t101 @t115)) % 0.38/0.61 (step @p155 :rule bool-double-not-elim :args (@t95)) % 0.38/0.61 (step @p156 :rule nary_cong :premises (@p127 @p155) :args ((or @t100 (not @t96)))) % 0.38/0.61 (step @p157 :rule cnf_or_neg :args (@t100 2)) % 0.38/0.61 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.38/0.61 (step @p159 :rule reordering :premises (@p158) :args ((or @t95 @t100))) % 0.38/0.61 (step @p160 :rule chain_m_resolution :premises (@p159 @p125) :args (@t95 @t101 @t102)) % 0.38/0.61 (step @p161 :rule instantiate :premises (@p160) :args ((@list @t107 @t106 @t109))) % 0.38/0.61 (step @p162 :rule instantiate :premises (@p141) :args ((@list @t106 @t109))) % 0.38/0.61 (step @p163 :rule bool-double-not-elim :args (@t111)) % 0.38/0.61 (step @p164 :rule nary_cong :premises (@p147 @p163) :args ((or @t114 (not @t112)))) % 0.38/0.61 (step @p165 :rule cnf_or_neg :args (@t114 1)) % 0.38/0.61 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.38/0.61 (step @p167 :rule reordering :premises (@p166) :args ((or @t111 @t114))) % 0.38/0.61 (step @p168 :rule chain_m_resolution :premises (@p167 @p145) :args (@t111 @t101 @t115)) % 0.38/0.61 (step @p169 :rule cnf_or_pos :args (@t117)) % 0.38/0.61 (step @p170 :rule reordering :premises (@p169) :args ((or @t112 @t116 (not @t117)))) % 0.38/0.61 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p162) :args (@t116 (@list false false) (@list @t111 @t117))) % 0.38/0.61 (step @p172 :rule cnf_or_pos :args (@t119)) % 0.38/0.61 (step @p173 :rule reordering :premises (@p172) :args ((or @t113 @t110 @t118 (not @t119)))) % 0.38/0.61 (step @p174 false :rule chain_m_resolution :premises (@p173 @p171 @p161 @p154 @p152) :args (false (@list false false true false) (@list @t116 @t119 @t110 @t108))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------