%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU599^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:52:21 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU599^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:43:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.subsetI1 Bool) % 0.38/0.56 (declare-const tptp.binintersectER Bool) % 0.38/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.in__Cong Bool) % 0.38/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "Xy" $$unsorted)) % 0.38/0.56 (define @t3 () (_ (_ tptp.in @t2) @t1)) % 0.38/0.56 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t5 () (@var "Xx" $$unsorted)) % 0.38/0.56 (define @t6 () (_ tptp.in @t5)) % 0.38/0.56 (define @t7 () (_ @t6 @t4)) % 0.38/0.56 (define @t8 () (= @t7 @t3)) % 0.38/0.56 (define @t9 () (= @t5 @t2)) % 0.38/0.56 (define @t10 () (@list @t5 @t2)) % 0.38/0.56 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.38/0.56 (define @t12 () (= @t4 @t1)) % 0.38/0.56 (define @t13 () (=> @t12 @t11)) % 0.38/0.56 (define @t14 () (@list @t4 @t1)) % 0.38/0.56 (define @t15 () (forall @t14 @t13)) % 0.38/0.56 (define @t16 () (= tptp.in__Cong @t15)) % 0.38/0.56 (define @t17 () (_ (_ tptp.subset @t4) @t1)) % 0.38/0.56 (define @t18 () (_ @t6 @t1)) % 0.38/0.56 (define @t19 () (@list @t5)) % 0.38/0.56 (define @t20 () (forall @t19 (=> @t7 @t18))) % 0.38/0.56 (define @t21 () (=> @t20 @t17)) % 0.38/0.56 (define @t22 () (forall @t14 @t21)) % 0.38/0.56 (define @t23 () (= tptp.subsetI1 @t22)) % 0.38/0.56 (define @t24 () (_ (_ tptp.binintersect @t4) @t1)) % 0.38/0.56 (define @t25 () (_ @t6 @t24)) % 0.38/0.56 (define @t26 () (@list @t4 @t1 @t5)) % 0.38/0.56 (define @t27 () (forall @t26 (=> @t25 @t18))) % 0.38/0.56 (define @t28 () (= tptp.binintersectER @t27)) % 0.38/0.56 (define @t29 () (=> (= @t24 @t4) @t17)) % 0.38/0.56 (define @t30 () (forall @t14 @t29)) % 0.38/0.56 (define @t31 () (=> tptp.binintersectER @t30)) % 0.38/0.56 (define @t32 () (=> tptp.subsetI1 @t31)) % 0.38/0.56 (define @t33 () (=> tptp.in__Cong @t32)) % 0.38/0.56 (define @t34 () (not @t33)) % 0.38/0.56 (define @t35 () (tptp.subset @t4 @t1)) % 0.38/0.56 (define @t36 () (tptp.binintersect @t4 @t1)) % 0.38/0.56 (define @t37 () (forall @t14 (or (not (= @t4 @t36)) @t35))) % 0.38/0.56 (define @t38 () (tptp.in @t5 @t1)) % 0.38/0.56 (define @t39 () (tptp.in @t5 @t36)) % 0.38/0.56 (define @t40 () (forall @t26 (or (not @t39) @t38))) % 0.38/0.56 (define @t41 () (tptp.in @t5 @t4)) % 0.38/0.56 (define @t42 () (forall @t19 (or (not @t41) @t38))) % 0.38/0.56 (define @t43 () (not @t42)) % 0.38/0.56 (define @t44 () (=> (forall @t14 (or @t43 @t35)) (=> @t40 @t37))) % 0.38/0.56 (define @t45 () (not @t25)) % 0.38/0.56 (define @t46 () (or @t45 @t18)) % 0.38/0.56 (define @t47 () (=> tptp.binintersectER @t37)) % 0.38/0.56 (define @t48 () (or @t43 @t17)) % 0.38/0.56 (define @t49 () (not @t7)) % 0.38/0.56 (define @t50 () (or @t49 @t18)) % 0.38/0.56 (define @t51 () (=> tptp.subsetI1 @t47)) % 0.38/0.56 (define @t52 () (@var "BOUND_VARIABLE_7480" $$unsorted)) % 0.38/0.56 (define @t53 () (@list @t1 @t52)) % 0.38/0.56 (define @t54 () (tptp.in @t52 @t1)) % 0.38/0.56 (define @t55 () (not (= @t1 @t1))) % 0.38/0.56 (define @t56 () (or @t55 (= @t54 @t54))) % 0.38/0.56 (define @t57 () (= @t54 (tptp.in @t52 @t4))) % 0.38/0.56 (define @t58 () (not @t12)) % 0.38/0.56 (define @t59 () (or @t58 @t58 @t57)) % 0.38/0.56 (define @t60 () (@list @t4)) % 0.38/0.56 (define @t61 () (or @t58 @t57)) % 0.38/0.56 (define @t62 () (forall @t60 @t61)) % 0.38/0.56 (define @t63 () (forall @t53 @t62)) % 0.38/0.56 (define @t64 () (forall (@list @t1 @t52 @t4) @t61)) % 0.38/0.56 (define @t65 () (forall (@list @t4 @t1 @t52) @t61)) % 0.38/0.56 (define @t66 () (@list @t52)) % 0.38/0.56 (define @t67 () (forall @t66 @t61)) % 0.38/0.56 (define @t68 () (forall @t66 @t57)) % 0.38/0.56 (define @t69 () (or @t58 @t68)) % 0.38/0.56 (define @t70 () (tptp.in @t2 @t4)) % 0.38/0.56 (define @t71 () (tptp.in @t2 @t1)) % 0.38/0.56 (define @t72 () (= @t71 @t70)) % 0.38/0.56 (define @t73 () (@list @t2)) % 0.38/0.56 (define @t74 () (forall @t73 @t72)) % 0.38/0.56 (define @t75 () (not (= @t2 @t2))) % 0.38/0.56 (define @t76 () (or @t75 (= @t70 @t71))) % 0.38/0.56 (define @t77 () (= @t41 @t71)) % 0.38/0.56 (define @t78 () (not @t9)) % 0.38/0.56 (define @t79 () (or @t78 @t78 @t77)) % 0.38/0.56 (define @t80 () (or @t78 @t77)) % 0.38/0.56 (define @t81 () (forall @t19 @t80)) % 0.38/0.56 (define @t82 () (forall @t73 @t81)) % 0.38/0.56 (define @t83 () (forall (@list @t2 @t5) @t80)) % 0.38/0.56 (define @t84 () (or @t78 @t8)) % 0.38/0.56 (define @t85 () (=> tptp.in__Cong @t51)) % 0.38/0.56 (define @t86 () (= @t4 @t24)) % 0.38/0.56 (define @t87 () (not @t86)) % 0.38/0.56 (define @t88 () (or @t87 @t17)) % 0.38/0.56 (define @t89 () (@quantifiers_skolemize @t37 1)) % 0.38/0.56 (define @t90 () (@quantifiers_skolemize @t37 0)) % 0.38/0.56 (define @t91 () (tptp.subset @t90 @t89)) % 0.38/0.56 (define @t92 () (tptp.binintersect @t90 @t89)) % 0.38/0.56 (define @t93 () (= @t90 @t92)) % 0.38/0.56 (define @t94 () (not @t93)) % 0.38/0.56 (define @t95 () (or @t94 @t91)) % 0.38/0.56 (define @t96 () (@list true)) % 0.38/0.56 (define @t97 () (@list @t95)) % 0.38/0.56 (define @t98 () (forall @t19 (or (not (tptp.in @t5 @t90)) (tptp.in @t5 @t89)))) % 0.38/0.56 (define @t99 () (not @t98)) % 0.38/0.56 (define @t100 () (or @t99 @t91)) % 0.38/0.56 (define @t101 () (@list true false)) % 0.38/0.56 (define @t102 () (@quantifiers_skolemize @t98 0)) % 0.38/0.56 (define @t103 () (tptp.in @t102 @t90)) % 0.38/0.56 (define @t104 () (tptp.in @t102 @t89)) % 0.38/0.56 (define @t105 () (not @t103)) % 0.38/0.56 (define @t106 () (or @t105 @t104)) % 0.38/0.56 (define @t107 () (@list @t106)) % 0.38/0.56 (define @t108 () (tptp.in @t102 @t92)) % 0.38/0.56 (define @t109 () (not @t108)) % 0.38/0.56 (define @t110 () (or @t109 @t104)) % 0.38/0.56 (define @t111 () (not @t110)) % 0.38/0.56 (assume @p1 @t16) % 0.38/0.56 (assume @p2 @t23) % 0.38/0.56 (assume @p3 @t28) % 0.38/0.56 (assume @p4 @t34) % 0.38/0.56 (assume @p5 true) % 0.38/0.56 (step @p6 :rule bool-impl-true2 :args (@t44)) % 0.38/0.56 (step @p7 :rule cong :premises (@p6) :args ((not (=> true @t44)))) % 0.38/0.56 (step @p8 :rule refl :args (@t37)) % 0.38/0.56 (step @p9 :rule refl :args (@t38)) % 0.38/0.56 (step @p10 :rule refl :args (@t18)) % 0.38/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t18 @t38))) % 0.38/0.56 (step @p12 :rule symm :premises (@p11)) % 0.38/0.56 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.38/0.56 (step @p14 :rule refl :args ((tptp.in @t5 @t24))) % 0.38/0.56 (step @p15 :rule refl :args (@t36)) % 0.38/0.56 (step @p16 :rule refl :args (@t5)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args (@t39)) % 0.38/0.56 (step @p18 :rule trans :premises (@p17 @p14)) % 0.38/0.56 (step @p19 :rule refl :args (@t6)) % 0.38/0.56 (step @p20 :rule ho_cong :premises (@p19 @p15)) % 0.38/0.56 (step @p21 :rule cong :premises (@p20 @p18) :args ((= (_ @t6 @t36) @t39))) % 0.38/0.56 (step @p22 :rule symm :premises (@p21)) % 0.38/0.56 (step @p23 :rule refl :args (@t25)) % 0.38/0.56 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.38/0.56 (step @p25 :rule refl :args (@t24)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25 @p15) :args ((= @t24 @t36))) % 0.38/0.56 (step @p27 :rule symm :premises (@p26)) % 0.38/0.56 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.38/0.56 (step @p29 :rule ho_cong :premises (@p19 @p28)) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p24)) % 0.38/0.56 (step @p31 :rule cong :premises (@p30) :args (@t45)) % 0.38/0.56 (step @p32 :rule nary_cong :premises (@p31 @p13) :args (@t46)) % 0.38/0.56 (step @p33 :rule cong :premises (@p32) :args ((forall @t26 @t46))) % 0.38/0.56 (step @p34 :rule bool-impl-elim :args (@t25 @t18)) % 0.38/0.56 (step @p35 :rule cong :premises (@p34) :args (@t27)) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p33)) % 0.38/0.56 (step @p37 :rule refl :args (tptp.binintersectER)) % 0.38/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args (@t28)) % 0.38/0.56 (step @p39 :rule eq_resolve :premises (@p3 @p38)) % 0.38/0.56 (step @p40 :rule cong :premises (@p39 @p8) :args (@t47)) % 0.38/0.56 (step @p41 :rule refl :args (@t35)) % 0.38/0.56 (step @p42 :rule refl :args (@t17)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t17 @t35))) % 0.38/0.56 (step @p44 :rule symm :premises (@p43)) % 0.38/0.56 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.38/0.56 (step @p46 :rule refl :args (@t43)) % 0.38/0.56 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t48)) % 0.38/0.56 (step @p48 :rule cong :premises (@p47) :args ((forall @t14 @t48))) % 0.38/0.56 (step @p49 :rule bool-impl-elim :args (@t42 @t17)) % 0.38/0.56 (step @p50 :rule cong :premises (@p49) :args ((forall @t14 (=> @t42 @t17)))) % 0.38/0.56 (step @p51 :rule trans :premises (@p50 @p48)) % 0.38/0.56 (step @p52 :rule refl :args (@t17)) % 0.38/0.56 (step @p53 :rule refl :args (@t41)) % 0.38/0.56 (step @p54 :rule refl :args (@t7)) % 0.38/0.56 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t7 @t41))) % 0.38/0.56 (step @p56 :rule symm :premises (@p55)) % 0.38/0.56 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.38/0.56 (step @p58 :rule cong :premises (@p57) :args (@t49)) % 0.38/0.56 (step @p59 :rule nary_cong :premises (@p58 @p13) :args (@t50)) % 0.38/0.56 (step @p60 :rule cong :premises (@p59) :args ((forall @t19 @t50))) % 0.38/0.56 (step @p61 :rule bool-impl-elim :args (@t7 @t18)) % 0.38/0.56 (step @p62 :rule cong :premises (@p61) :args (@t20)) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p60)) % 0.38/0.56 (step @p64 :rule cong :premises (@p63 @p52) :args (@t21)) % 0.38/0.56 (step @p65 :rule cong :premises (@p64) :args (@t22)) % 0.38/0.56 (step @p66 :rule trans :premises (@p65 @p51)) % 0.38/0.56 (step @p67 :rule refl :args (tptp.subsetI1)) % 0.38/0.56 (step @p68 :rule cong :premises (@p67 @p66) :args (@t23)) % 0.38/0.56 (step @p69 :rule eq_resolve :premises (@p2 @p68)) % 0.38/0.56 (step @p70 :rule cong :premises (@p69 @p40) :args (@t51)) % 0.38/0.56 (step @p71 :rule bool-eq-true :args (tptp.in__Cong)) % 0.38/0.56 (step @p72 :rule symm :premises (@p71)) % 0.38/0.56 (step @p73 :rule quant-unused-vars :args ((= (forall @t53 true) true))) % 0.38/0.56 (step @p74 :rule evaluate :args ((or false true))) % 0.38/0.56 (step @p75 :rule eq-refl :args (@t54)) % 0.38/0.56 (step @p76 :rule evaluate :args ((not true))) % 0.38/0.56 (step @p77 :rule eq-refl :args (@t1)) % 0.38/0.56 (step @p78 :rule cong :premises (@p77) :args (@t55)) % 0.38/0.56 (step @p79 :rule trans :premises (@p78 @p76)) % 0.38/0.56 (step @p80 :rule nary_cong :premises (@p79 @p75) :args (@t56)) % 0.38/0.56 (step @p81 :rule trans :premises (@p80 @p74)) % 0.38/0.56 (step @p82 :rule cong :premises (@p81) :args ((forall @t53 @t56))) % 0.38/0.56 (step @p83 :rule trans :premises (@p82 @p73)) % 0.38/0.56 (step @p84 :rule quant-var-elim-eq :args ((= (forall @t60 @t59) @t56))) % 0.38/0.56 (step @p85 :rule aci_norm :args ((= @t61 @t59))) % 0.38/0.56 (step @p86 :rule cong :premises (@p85) :args (@t62)) % 0.38/0.56 (step @p87 :rule trans :premises (@p86 @p84)) % 0.38/0.56 (step @p88 :rule cong :premises (@p87) :args (@t63)) % 0.38/0.56 (step @p89 :rule quant-merge-prenex :args ((= @t63 @t64))) % 0.38/0.56 (step @p90 :rule symm :premises (@p89)) % 0.38/0.56 (step @p91 :rule quant_var_reordering :args ((= @t65 @t64))) % 0.38/0.56 (step @p92 :rule trans :premises (@p91 @p90 @p88)) % 0.38/0.56 (step @p93 :rule trans :premises (@p92 @p83)) % 0.38/0.56 (step @p94 :rule quant-merge-prenex :args ((= (forall @t14 @t67) @t65))) % 0.38/0.56 (step @p95 :rule alpha_equiv :args (@t68 (@list @t52) (@list @t2))) % 0.38/0.56 (step @p96 :rule refl :args (@t58)) % 0.38/0.56 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t69)) % 0.38/0.56 (step @p98 :rule quant-miniscope-or :args ((= @t67 @t69))) % 0.38/0.56 (step @p99 :rule trans :premises (@p98 @p97)) % 0.38/0.56 (step @p100 :rule symm :premises (@p99)) % 0.38/0.56 (step @p101 :rule cong :premises (@p100) :args ((forall @t14 (or @t58 @t74)))) % 0.38/0.56 (step @p102 :rule trans :premises (@p101 @p94)) % 0.38/0.56 (step @p103 :rule trans :premises (@p102 @p93)) % 0.38/0.56 (step @p104 :rule bool-impl-elim :args (@t12 @t74)) % 0.38/0.56 (step @p105 :rule cong :premises (@p104) :args ((forall @t14 (=> @t12 @t74)))) % 0.38/0.56 (step @p106 :rule trans :premises (@p105 @p103)) % 0.38/0.56 (step @p107 :rule aci_norm :args ((= (or false @t72) @t72))) % 0.38/0.56 (step @p108 :rule eq-symm :args (@t70 @t71)) % 0.38/0.56 (step @p109 :rule eq-refl :args (@t2)) % 0.38/0.56 (step @p110 :rule cong :premises (@p109) :args (@t75)) % 0.38/0.56 (step @p111 :rule trans :premises (@p110 @p76)) % 0.38/0.56 (step @p112 :rule nary_cong :premises (@p111 @p108) :args (@t76)) % 0.38/0.56 (step @p113 :rule trans :premises (@p112 @p107)) % 0.38/0.56 (step @p114 :rule cong :premises (@p113) :args ((forall @t73 @t76))) % 0.38/0.56 (step @p115 :rule quant-var-elim-eq :args ((= (forall @t19 @t79) @t76))) % 0.38/0.56 (step @p116 :rule aci_norm :args ((= @t80 @t79))) % 0.38/0.56 (step @p117 :rule cong :premises (@p116) :args (@t81)) % 0.38/0.56 (step @p118 :rule trans :premises (@p117 @p115)) % 0.38/0.56 (step @p119 :rule cong :premises (@p118) :args (@t82)) % 0.38/0.56 (step @p120 :rule quant-merge-prenex :args ((= @t82 @t83))) % 0.38/0.56 (step @p121 :rule symm :premises (@p120)) % 0.38/0.56 (step @p122 :rule quant_var_reordering :args ((= (forall @t10 @t80) @t83))) % 0.38/0.56 (step @p123 :rule trans :premises (@p122 @p121 @p119)) % 0.38/0.56 (step @p124 :rule trans :premises (@p123 @p114)) % 0.38/0.56 (step @p125 :rule refl :args (@t71)) % 0.38/0.56 (step @p126 :rule refl :args (@t3)) % 0.38/0.56 (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t3 @t71))) % 0.38/0.56 (step @p128 :rule symm :premises (@p127)) % 0.38/0.56 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.38/0.56 (step @p130 :rule cong :premises (@p57 @p129) :args (@t8)) % 0.38/0.56 (step @p131 :rule refl :args (@t78)) % 0.38/0.56 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t84)) % 0.38/0.56 (step @p133 :rule cong :premises (@p132) :args ((forall @t10 @t84))) % 0.38/0.56 (step @p134 :rule trans :premises (@p133 @p124)) % 0.38/0.56 (step @p135 :rule bool-impl-elim :args (@t9 @t8)) % 0.38/0.56 (step @p136 :rule cong :premises (@p135) :args (@t11)) % 0.38/0.56 (step @p137 :rule trans :premises (@p136 @p134)) % 0.38/0.56 (step @p138 :rule refl :args (@t12)) % 0.38/0.56 (step @p139 :rule cong :premises (@p138 @p137) :args (@t13)) % 0.38/0.56 (step @p140 :rule cong :premises (@p139) :args (@t15)) % 0.38/0.56 (step @p141 :rule trans :premises (@p140 @p106)) % 0.38/0.56 (step @p142 :rule refl :args (tptp.in__Cong)) % 0.38/0.56 (step @p143 :rule cong :premises (@p142 @p141) :args (@t16)) % 0.38/0.56 (step @p144 :rule trans :premises (@p143 @p71)) % 0.38/0.56 (step @p145 :rule eq_resolve :premises (@p1 @p144)) % 0.38/0.56 (step @p146 :rule eq_resolve :premises (@p145 @p72)) % 0.38/0.56 (step @p147 :rule cong :premises (@p146 @p70) :args (@t85)) % 0.38/0.56 (step @p148 :rule cong :premises (@p147) :args ((not @t85))) % 0.38/0.56 (step @p149 :rule trans :premises (@p148 @p7)) % 0.38/0.56 (step @p150 :rule refl :args (@t4)) % 0.38/0.56 (step @p151 :rule cong :premises (@p150 @p28) :args (@t86)) % 0.38/0.56 (step @p152 :rule cong :premises (@p151) :args (@t87)) % 0.38/0.56 (step @p153 :rule nary_cong :premises (@p152 @p45) :args (@t88)) % 0.38/0.56 (step @p154 :rule cong :premises (@p153) :args ((forall @t14 @t88))) % 0.38/0.56 (step @p155 :rule bool-impl-elim :args (@t86 @t17)) % 0.38/0.56 (step @p156 :rule cong :premises (@p155) :args ((forall @t14 (=> @t86 @t17)))) % 0.38/0.56 (step @p157 :rule trans :premises (@p156 @p154)) % 0.38/0.56 (step @p158 :rule eq-symm :args (@t24 @t4)) % 0.38/0.56 (step @p159 :rule cong :premises (@p158 @p52) :args (@t29)) % 0.38/0.56 (step @p160 :rule cong :premises (@p159) :args (@t30)) % 0.38/0.56 (step @p161 :rule trans :premises (@p160 @p157)) % 0.38/0.56 (step @p162 :rule cong :premises (@p37 @p161) :args (@t31)) % 0.38/0.56 (step @p163 :rule cong :premises (@p67 @p162) :args (@t32)) % 0.38/0.56 (step @p164 :rule cong :premises (@p142 @p163) :args (@t33)) % 0.38/0.56 (step @p165 :rule cong :premises (@p164) :args (@t34)) % 0.38/0.56 (step @p166 :rule trans :premises (@p165 @p149)) % 0.38/0.56 (step @p167 :rule eq_resolve :premises (@p4 @p166)) % 0.38/0.56 (step @p168 :rule not_implies_elim2 :premises (@p167)) % 0.38/0.56 (step @p169 :rule not_implies_elim1 :premises (@p168)) % 0.38/0.56 (step @p170 :rule not_implies_elim1 :premises (@p167)) % 0.38/0.56 (step @p171 :rule instantiate :premises (@p170) :args ((@list @t90 @t89))) % 0.38/0.56 (step @p172 :rule not_implies_elim2 :premises (@p168)) % 0.38/0.56 (step @p173 :rule skolemize :premises (@p172)) % 0.38/0.56 (step @p174 :rule cnf_or_neg :args (@t95 1)) % 0.38/0.56 (step @p175 :rule chain_m_resolution :premises (@p174 @p173) :args ((not @t91) @t96 @t97)) % 0.38/0.56 (step @p176 :rule cnf_or_pos :args (@t100)) % 0.38/0.56 (step @p177 :rule reordering :premises (@p176) :args ((or @t91 @t99 (not @t100)))) % 0.38/0.56 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p171) :args (@t99 @t101 (@list @t91 @t100))) % 0.38/0.56 (step @p179 :rule skolemize :premises (@p178)) % 0.38/0.56 (step @p180 :rule bool-double-not-elim :args (@t103)) % 0.38/0.56 (step @p181 :rule refl :args (@t106)) % 0.38/0.56 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t106 (not @t105)))) % 0.38/0.56 (step @p183 :rule cnf_or_neg :args (@t106 0)) % 0.38/0.56 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 0.38/0.56 (step @p185 :rule reordering :premises (@p184) :args ((or @t103 @t106))) % 0.38/0.56 (step @p186 :rule chain_m_resolution :premises (@p185 @p179) :args (@t103 @t96 @t107)) % 0.38/0.56 (step @p187 :rule true_intro :premises (@p186)) % 0.38/0.56 (step @p188 :rule bool-double-not-elim :args (@t93)) % 0.38/0.56 (step @p189 :rule refl :args (@t95)) % 0.38/0.56 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t95 (not @t94)))) % 0.38/0.56 (step @p191 :rule cnf_or_neg :args (@t95 0)) % 0.38/0.56 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 0.38/0.56 (step @p193 :rule reordering :premises (@p192) :args ((or @t93 @t95))) % 0.38/0.56 (step @p194 :rule chain_m_resolution :premises (@p193 @p173) :args (@t93 @t96 @t97)) % 0.38/0.56 (step @p195 :rule symm :premises (@p194)) % 0.38/0.56 (step @p196 :rule refl :args (@t102)) % 0.38/0.56 (step @p197 :rule cong :premises (@p196 @p195) :args (@t108)) % 0.38/0.56 (step @p198 :rule trans :premises (@p197 @p187)) % 0.38/0.56 (step @p199 :rule true_elim :premises (@p198)) % 0.38/0.56 (step @p200 :rule cnf_or_neg :args (@t106 1)) % 0.38/0.56 (step @p201 :rule chain_m_resolution :premises (@p200 @p179) :args ((not @t104) @t96 @t107)) % 0.38/0.56 (step @p202 :rule cnf_or_pos :args (@t110)) % 0.38/0.56 (step @p203 :rule reordering :premises (@p202) :args ((or @t104 @t109 @t111))) % 0.38/0.56 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p199) :args (@t111 @t101 (@list @t104 @t108))) % 0.38/0.56 (assume-push @p211 @t40) % 0.38/0.56 (step @p206 :rule instantiate :premises (@p169) :args ((@list @t90 @t89 @t102))) % 0.38/0.56 (step-pop @p212 :rule scope :premises (@p206)) % 0.38/0.56 (step @p207 :rule process_scope :premises (@p212) :args (@t110)) % 0.38/0.56 (step @p209 :rule implies_elim :premises (@p207)) % 0.38/0.56 (step @p210 false :rule chain_m_resolution :premises (@p209 @p204 @p169) :args (false @t101 (@list @t110 @t40))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------