%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU724^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:52:54 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU724^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.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 17:49:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.subsetE Bool) % 0.38/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.58 (define @t3 () (_ tptp.in @t2)) % 0.38/0.58 (define @t4 () (_ @t3 @t1)) % 0.38/0.58 (define @t5 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t6 () (_ @t3 @t5)) % 0.38/0.58 (define @t7 () (=> @t6 @t4)) % 0.38/0.58 (define @t8 () (_ (_ tptp.subset @t5) @t1)) % 0.38/0.58 (define @t9 () (@list @t5 @t1 @t2)) % 0.38/0.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.38/0.58 (define @t11 () (= tptp.subsetE @t10)) % 0.38/0.58 (define @t12 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t13 () (_ @t3 @t12)) % 0.38/0.58 (define @t14 () (not @t13)) % 0.38/0.58 (define @t15 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t16 () (_ @t3 @t15)) % 0.38/0.58 (define @t17 () (not @t16)) % 0.38/0.58 (define @t18 () (=> @t17 @t14)) % 0.38/0.58 (define @t19 () (_ (_ tptp.subset @t12) @t15)) % 0.38/0.58 (define @t20 () (=> @t19 @t18)) % 0.38/0.58 (define @t21 () (@list @t2)) % 0.38/0.58 (define @t22 () (forall @t21 (=> @t6 @t20))) % 0.38/0.58 (define @t23 () (_ tptp.powerset @t5)) % 0.38/0.58 (define @t24 () (_ tptp.in @t15)) % 0.38/0.58 (define @t25 () (_ @t24 @t23)) % 0.38/0.58 (define @t26 () (=> @t25 @t22)) % 0.38/0.58 (define @t27 () (@list @t15)) % 0.38/0.58 (define @t28 () (forall @t27 @t26)) % 0.38/0.58 (define @t29 () (_ tptp.in @t12)) % 0.38/0.58 (define @t30 () (_ @t29 @t23)) % 0.38/0.58 (define @t31 () (=> @t30 @t28)) % 0.38/0.58 (define @t32 () (@list @t5 @t12)) % 0.38/0.58 (define @t33 () (forall @t32 @t31)) % 0.38/0.58 (define @t34 () (=> tptp.subsetE @t33)) % 0.38/0.58 (define @t35 () (not @t34)) % 0.38/0.58 (define @t36 () (@var "BOUND_VARIABLE_7518" $$unsorted)) % 0.38/0.58 (define @t37 () (not (tptp.in @t36 @t12))) % 0.38/0.58 (define @t38 () (@var "BOUND_VARIABLE_7516" $$unsorted)) % 0.38/0.58 (define @t39 () (tptp.in @t36 @t38)) % 0.38/0.58 (define @t40 () (not (tptp.in @t36 @t5))) % 0.38/0.58 (define @t41 () (not (tptp.subset @t12 @t38))) % 0.38/0.58 (define @t42 () (tptp.powerset @t5)) % 0.38/0.58 (define @t43 () (not (tptp.in @t38 @t42))) % 0.38/0.58 (define @t44 () (tptp.in @t12 @t42)) % 0.38/0.58 (define @t45 () (not @t44)) % 0.38/0.58 (define @t46 () (or @t45 @t43 @t41 @t40 @t39 @t37)) % 0.38/0.58 (define @t47 () (@list @t5 @t12 @t38 @t36)) % 0.38/0.58 (define @t48 () (forall @t47 @t46)) % 0.38/0.58 (define @t49 () (tptp.in @t2 @t1)) % 0.38/0.58 (define @t50 () (tptp.in @t2 @t5)) % 0.38/0.58 (define @t51 () (not @t6)) % 0.38/0.58 (define @t52 () (tptp.subset @t5 @t1)) % 0.38/0.58 (define @t53 () (not @t8)) % 0.38/0.58 (define @t54 () (or @t53 @t51 @t4)) % 0.38/0.58 (define @t55 () (=> tptp.subsetE @t48)) % 0.38/0.58 (define @t56 () (or @t43 @t41 @t40 @t39 @t37)) % 0.38/0.58 (define @t57 () (or @t45 @t56)) % 0.38/0.58 (define @t58 () (forall @t47 @t57)) % 0.38/0.58 (define @t59 () (@list @t38 @t36)) % 0.38/0.58 (define @t60 () (forall @t59 @t57)) % 0.38/0.58 (define @t61 () (forall @t59 @t56)) % 0.38/0.58 (define @t62 () (@var "BOUND_VARIABLE_7493" $$unsorted)) % 0.38/0.58 (define @t63 () (or @t45 @t61)) % 0.38/0.58 (define @t64 () (not (tptp.in @t62 @t12))) % 0.38/0.58 (define @t65 () (tptp.in @t62 @t15)) % 0.38/0.58 (define @t66 () (not (tptp.in @t62 @t5))) % 0.38/0.58 (define @t67 () (tptp.subset @t12 @t15)) % 0.38/0.58 (define @t68 () (not @t67)) % 0.38/0.58 (define @t69 () (tptp.in @t15 @t42)) % 0.38/0.58 (define @t70 () (not @t69)) % 0.38/0.58 (define @t71 () (or @t70 @t68 @t66 @t65 @t64)) % 0.38/0.58 (define @t72 () (@list @t15 @t62)) % 0.38/0.58 (define @t73 () (forall @t72 @t71)) % 0.38/0.58 (define @t74 () (not @t30)) % 0.38/0.58 (define @t75 () (or @t74 @t73)) % 0.38/0.58 (define @t76 () (or @t66 @t65 @t64)) % 0.38/0.58 (define @t77 () (or @t70 @t68 @t76)) % 0.38/0.58 (define @t78 () (forall @t72 @t77)) % 0.38/0.58 (define @t79 () (@list @t62)) % 0.38/0.58 (define @t80 () (forall @t79 @t77)) % 0.38/0.58 (define @t81 () (forall @t79 @t76)) % 0.38/0.58 (define @t82 () (or @t70 @t68 @t81)) % 0.38/0.58 (define @t83 () (tptp.in @t2 @t12)) % 0.38/0.58 (define @t84 () (tptp.in @t2 @t15)) % 0.38/0.58 (define @t85 () (not @t50)) % 0.38/0.58 (define @t86 () (forall @t21 (or @t85 @t84 (not @t83)))) % 0.38/0.58 (define @t87 () (not @t19)) % 0.38/0.58 (define @t88 () (not @t25)) % 0.38/0.58 (define @t89 () (or @t88 @t87 @t86)) % 0.38/0.58 (define @t90 () (or @t87 @t86)) % 0.38/0.58 (define @t91 () (or @t51 @t16 @t14)) % 0.38/0.58 (define @t92 () (forall @t21 @t91)) % 0.38/0.58 (define @t93 () (or @t87 @t92)) % 0.38/0.58 (define @t94 () (or @t87 @t91)) % 0.38/0.58 (define @t95 () (or @t51 @t87 @t16 @t14)) % 0.38/0.58 (define @t96 () (or @t87 @t16 @t14)) % 0.38/0.58 (define @t97 () (@quantifiers_skolemize @t48 1)) % 0.38/0.58 (define @t98 () (@quantifiers_skolemize @t48 3)) % 0.38/0.58 (define @t99 () (tptp.in @t98 @t97)) % 0.38/0.58 (define @t100 () (not @t99)) % 0.38/0.58 (define @t101 () (@quantifiers_skolemize @t48 2)) % 0.38/0.58 (define @t102 () (tptp.in @t98 @t101)) % 0.38/0.58 (define @t103 () (@quantifiers_skolemize @t48 0)) % 0.38/0.58 (define @t104 () (tptp.subset @t97 @t101)) % 0.38/0.58 (define @t105 () (not @t104)) % 0.38/0.58 (define @t106 () (tptp.powerset @t103)) % 0.38/0.58 (define @t107 () (or (not (tptp.in @t97 @t106)) (not (tptp.in @t101 @t106)) @t105 (not (tptp.in @t98 @t103)) @t102 @t100)) % 0.38/0.58 (define @t108 () (@list true)) % 0.38/0.58 (define @t109 () (@list @t107)) % 0.38/0.58 (define @t110 () (or @t105 @t100 @t102)) % 0.38/0.58 (define @t111 () (not @t110)) % 0.38/0.58 (define @t112 () (forall @t9 (or (not @t52) @t85 @t49))) % 0.38/0.58 (assume @p1 @t11) % 0.38/0.58 (assume @p2 @t35) % 0.38/0.58 (assume @p3 true) % 0.38/0.58 (step @p4 :rule refl :args (@t48)) % 0.38/0.58 (step @p5 :rule refl :args (@t49)) % 0.38/0.58 (step @p6 :rule refl :args (@t4)) % 0.38/0.58 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t49))) % 0.38/0.58 (step @p8 :rule symm :premises (@p7)) % 0.38/0.58 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.38/0.58 (step @p10 :rule refl :args (@t50)) % 0.38/0.58 (step @p11 :rule refl :args (@t6)) % 0.38/0.58 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t6 @t50))) % 0.38/0.58 (step @p13 :rule symm :premises (@p12)) % 0.38/0.58 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.38/0.58 (step @p15 :rule cong :premises (@p14) :args (@t51)) % 0.38/0.58 (step @p16 :rule refl :args (@t52)) % 0.38/0.58 (step @p17 :rule refl :args (@t8)) % 0.38/0.58 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t8 @t52))) % 0.38/0.58 (step @p19 :rule symm :premises (@p18)) % 0.38/0.58 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.38/0.58 (step @p21 :rule cong :premises (@p20) :args (@t53)) % 0.38/0.58 (step @p22 :rule nary_cong :premises (@p21 @p15 @p9) :args (@t54)) % 0.38/0.58 (step @p23 :rule cong :premises (@p22) :args ((forall @t9 @t54))) % 0.38/0.58 (step @p24 :rule aci_norm :args ((= (or @t53 (or @t51 @t4)) @t54))) % 0.38/0.58 (step @p25 :rule bool-impl-elim :args (@t6 @t4)) % 0.38/0.58 (step @p26 :rule refl :args (@t53)) % 0.38/0.58 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t53 @t7))) % 0.38/0.58 (step @p28 :rule trans :premises (@p27 @p24)) % 0.38/0.58 (step @p29 :rule bool-impl-elim :args (@t8 @t7)) % 0.38/0.58 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.58 (step @p31 :rule cong :premises (@p30) :args (@t10)) % 0.38/0.58 (step @p32 :rule trans :premises (@p31 @p23)) % 0.38/0.58 (step @p33 :rule refl :args (tptp.subsetE)) % 0.38/0.58 (step @p34 :rule cong :premises (@p33 @p32) :args (@t11)) % 0.38/0.58 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.38/0.58 (step @p36 :rule cong :premises (@p35 @p4) :args (@t55)) % 0.38/0.58 (step @p37 :rule cong :premises (@p36) :args ((not @t55))) % 0.38/0.58 (step @p38 :rule aci_norm :args ((= @t57 @t46))) % 0.38/0.58 (step @p39 :rule cong :premises (@p38) :args (@t58)) % 0.38/0.58 (step @p40 :rule quant-merge-prenex :args ((= (forall @t32 @t60) @t58))) % 0.38/0.58 (step @p41 :rule alpha_equiv :args (@t61 (@list @t38 @t36) (@list @t15 @t62))) % 0.38/0.58 (step @p42 :rule refl :args (@t45)) % 0.38/0.58 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t63)) % 0.38/0.58 (step @p44 :rule quant-miniscope-or :args ((= @t60 @t63))) % 0.38/0.58 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.58 (step @p46 :rule symm :premises (@p45)) % 0.38/0.58 (step @p47 :rule cong :premises (@p46) :args ((forall @t32 (or @t45 @t73)))) % 0.38/0.58 (step @p48 :rule trans :premises (@p47 @p40)) % 0.38/0.58 (step @p49 :rule trans :premises (@p48 @p39)) % 0.38/0.58 (step @p50 :rule refl :args (@t73)) % 0.38/0.58 (step @p51 :rule refl :args ((tptp.in @t12 @t23))) % 0.38/0.58 (step @p52 :rule refl :args (@t42)) % 0.38/0.58 (step @p53 :rule refl :args (@t12)) % 0.38/0.58 (step @p54 :rule cong :premises (@p53 @p52) :args (@t44)) % 0.38/0.58 (step @p55 :rule trans :premises (@p54 @p51)) % 0.38/0.58 (step @p56 :rule refl :args (@t29)) % 0.38/0.58 (step @p57 :rule ho_cong :premises (@p56 @p52)) % 0.38/0.58 (step @p58 :rule cong :premises (@p57 @p55) :args ((= (_ @t29 @t42) @t44))) % 0.38/0.58 (step @p59 :rule symm :premises (@p58)) % 0.38/0.58 (step @p60 :rule refl :args (@t30)) % 0.38/0.58 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.38/0.58 (step @p62 :rule refl :args (@t23)) % 0.38/0.58 (step @p63 :rule cong :premises (@p62 @p52) :args ((= @t23 @t42))) % 0.38/0.58 (step @p64 :rule symm :premises (@p63)) % 0.38/0.58 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.38/0.58 (step @p66 :rule ho_cong :premises (@p56 @p65)) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p61)) % 0.38/0.58 (step @p68 :rule cong :premises (@p67) :args (@t74)) % 0.38/0.58 (step @p69 :rule nary_cong :premises (@p68 @p50) :args (@t75)) % 0.38/0.58 (step @p70 :rule cong :premises (@p69) :args ((forall @t32 @t75))) % 0.38/0.58 (step @p71 :rule trans :premises (@p70 @p49)) % 0.38/0.58 (step @p72 :rule bool-impl-elim :args (@t30 @t73)) % 0.38/0.58 (step @p73 :rule cong :premises (@p72) :args ((forall @t32 (=> @t30 @t73)))) % 0.38/0.58 (step @p74 :rule trans :premises (@p73 @p71)) % 0.38/0.58 (step @p75 :rule aci_norm :args ((= @t77 @t71))) % 0.38/0.58 (step @p76 :rule cong :premises (@p75) :args (@t78)) % 0.38/0.58 (step @p77 :rule quant-merge-prenex :args ((= (forall @t27 @t80) @t78))) % 0.38/0.58 (step @p78 :rule alpha_equiv :args (@t81 (@list @t62) (@list @t2))) % 0.38/0.58 (step @p79 :rule refl :args (@t68)) % 0.38/0.58 (step @p80 :rule refl :args (@t70)) % 0.38/0.58 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t82)) % 0.38/0.58 (step @p82 :rule quant-miniscope-or :args ((= @t80 @t82))) % 0.38/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.38/0.58 (step @p84 :rule symm :premises (@p83)) % 0.38/0.58 (step @p85 :rule cong :premises (@p84) :args ((forall @t27 (or @t70 @t68 @t86)))) % 0.38/0.58 (step @p86 :rule trans :premises (@p85 @p77)) % 0.38/0.58 (step @p87 :rule trans :premises (@p86 @p76)) % 0.38/0.58 (step @p88 :rule refl :args (@t86)) % 0.38/0.58 (step @p89 :rule refl :args (@t67)) % 0.38/0.58 (step @p90 :rule refl :args (@t19)) % 0.38/0.58 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t19 @t67))) % 0.38/0.58 (step @p92 :rule symm :premises (@p91)) % 0.38/0.58 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.38/0.58 (step @p94 :rule cong :premises (@p93) :args (@t87)) % 0.38/0.58 (step @p95 :rule refl :args ((tptp.in @t15 @t23))) % 0.38/0.58 (step @p96 :rule refl :args (@t15)) % 0.38/0.58 (step @p97 :rule cong :premises (@p96 @p52) :args (@t69)) % 0.38/0.58 (step @p98 :rule trans :premises (@p97 @p95)) % 0.38/0.58 (step @p99 :rule refl :args (@t24)) % 0.38/0.58 (step @p100 :rule ho_cong :premises (@p99 @p52)) % 0.38/0.58 (step @p101 :rule cong :premises (@p100 @p98) :args ((= (_ @t24 @t42) @t69))) % 0.38/0.58 (step @p102 :rule symm :premises (@p101)) % 0.38/0.58 (step @p103 :rule refl :args (@t25)) % 0.38/0.58 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.38/0.58 (step @p105 :rule ho_cong :premises (@p99 @p65)) % 0.38/0.58 (step @p106 :rule trans :premises (@p105 @p104)) % 0.38/0.58 (step @p107 :rule cong :premises (@p106) :args (@t88)) % 0.38/0.58 (step @p108 :rule nary_cong :premises (@p107 @p94 @p88) :args (@t89)) % 0.38/0.58 (step @p109 :rule cong :premises (@p108) :args ((forall @t27 @t89))) % 0.38/0.58 (step @p110 :rule trans :premises (@p109 @p87)) % 0.38/0.58 (step @p111 :rule aci_norm :args ((= (or @t88 @t90) @t89))) % 0.38/0.58 (step @p112 :rule bool-impl-elim :args (@t25 @t90)) % 0.38/0.58 (step @p113 :rule trans :premises (@p112 @p111)) % 0.38/0.58 (step @p114 :rule cong :premises (@p113) :args ((forall @t27 (=> @t25 @t90)))) % 0.38/0.58 (step @p115 :rule trans :premises (@p114 @p110)) % 0.38/0.58 (step @p116 :rule refl :args (@t83)) % 0.38/0.58 (step @p117 :rule refl :args (@t13)) % 0.38/0.58 (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t13 @t83))) % 0.38/0.58 (step @p119 :rule symm :premises (@p118)) % 0.38/0.58 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 0.38/0.58 (step @p121 :rule cong :premises (@p120) :args (@t14)) % 0.38/0.58 (step @p122 :rule refl :args (@t84)) % 0.38/0.58 (step @p123 :rule refl :args (@t16)) % 0.38/0.58 (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t16 @t84))) % 0.38/0.58 (step @p125 :rule symm :premises (@p124)) % 0.38/0.58 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 0.38/0.58 (step @p127 :rule nary_cong :premises (@p15 @p126 @p121) :args (@t91)) % 0.38/0.58 (step @p128 :rule cong :premises (@p127) :args (@t92)) % 0.38/0.58 (step @p129 :rule refl :args (@t87)) % 0.38/0.58 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t93)) % 0.38/0.58 (step @p131 :rule quant-miniscope-or :args ((= (forall @t21 @t94) @t93))) % 0.38/0.58 (step @p132 :rule aci_norm :args ((= @t95 @t94))) % 0.38/0.58 (step @p133 :rule cong :premises (@p132) :args ((forall @t21 @t95))) % 0.38/0.58 (step @p134 :rule trans :premises (@p133 @p131)) % 0.38/0.58 (step @p135 :rule trans :premises (@p134 @p130)) % 0.38/0.58 (step @p136 :rule aci_norm :args ((= (or @t51 @t96) @t95))) % 0.38/0.58 (step @p137 :rule aci_norm :args ((= (or @t87 (or @t16 @t14)) @t96))) % 0.38/0.58 (step @p138 :rule refl :args (@t14)) % 0.38/0.58 (step @p139 :rule bool-double-not-elim :args (@t16)) % 0.38/0.58 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or (not @t17) @t14))) % 0.38/0.58 (step @p141 :rule bool-impl-elim :args (@t17 @t14)) % 0.38/0.58 (step @p142 :rule trans :premises (@p141 @p140)) % 0.38/0.58 (step @p143 :rule refl :args (@t87)) % 0.38/0.58 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t87 @t18))) % 0.38/0.58 (step @p145 :rule trans :premises (@p144 @p137)) % 0.38/0.58 (step @p146 :rule bool-impl-elim :args (@t19 @t18)) % 0.38/0.58 (step @p147 :rule trans :premises (@p146 @p145)) % 0.38/0.58 (step @p148 :rule refl :args (@t51)) % 0.38/0.58 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t51 @t20))) % 0.38/0.58 (step @p150 :rule trans :premises (@p149 @p136)) % 0.38/0.58 (step @p151 :rule bool-impl-elim :args (@t6 @t20)) % 0.38/0.58 (step @p152 :rule trans :premises (@p151 @p150)) % 0.38/0.58 (step @p153 :rule cong :premises (@p152) :args (@t22)) % 0.38/0.58 (step @p154 :rule trans :premises (@p153 @p135)) % 0.38/0.58 (step @p155 :rule refl :args (@t25)) % 0.38/0.58 (step @p156 :rule cong :premises (@p155 @p154) :args (@t26)) % 0.38/0.58 (step @p157 :rule cong :premises (@p156) :args (@t28)) % 0.38/0.58 (step @p158 :rule trans :premises (@p157 @p115)) % 0.38/0.58 (step @p159 :rule refl :args (@t30)) % 0.38/0.58 (step @p160 :rule cong :premises (@p159 @p158) :args (@t31)) % 0.38/0.58 (step @p161 :rule cong :premises (@p160) :args (@t33)) % 0.38/0.58 (step @p162 :rule trans :premises (@p161 @p74)) % 0.38/0.58 (step @p163 :rule cong :premises (@p33 @p162) :args (@t34)) % 0.38/0.58 (step @p164 :rule cong :premises (@p163) :args (@t35)) % 0.38/0.58 (step @p165 :rule trans :premises (@p164 @p37)) % 0.38/0.58 (step @p166 :rule eq_resolve :premises (@p2 @p165)) % 0.38/0.58 (step @p167 :rule not_implies_elim1 :premises (@p166)) % 0.38/0.58 (step @p168 :rule not_implies_elim2 :premises (@p166)) % 0.38/0.58 (step @p169 :rule skolemize :premises (@p168)) % 0.38/0.58 (step @p170 :rule bool-double-not-elim :args (@t99)) % 0.38/0.58 (step @p171 :rule refl :args (@t107)) % 0.38/0.58 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t107 (not @t100)))) % 0.38/0.58 (step @p173 :rule cnf_or_neg :args (@t107 5)) % 0.38/0.58 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.38/0.58 (step @p175 :rule reordering :premises (@p174) :args ((or @t99 @t107))) % 0.38/0.58 (step @p176 :rule chain_m_resolution :premises (@p175 @p169) :args (@t99 @t108 @t109)) % 0.38/0.58 (step @p177 :rule cnf_or_neg :args (@t107 4)) % 0.38/0.58 (step @p178 :rule chain_m_resolution :premises (@p177 @p169) :args ((not @t102) @t108 @t109)) % 0.38/0.58 (step @p179 :rule bool-double-not-elim :args (@t104)) % 0.38/0.58 (step @p180 :rule nary_cong :premises (@p171 @p179) :args ((or @t107 (not @t105)))) % 0.38/0.58 (step @p181 :rule cnf_or_neg :args (@t107 2)) % 0.38/0.58 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 0.38/0.58 (step @p183 :rule reordering :premises (@p182) :args ((or @t104 @t107))) % 0.38/0.58 (step @p184 :rule chain_m_resolution :premises (@p183 @p169) :args (@t104 @t108 @t109)) % 0.38/0.58 (step @p185 :rule cnf_or_pos :args (@t110)) % 0.38/0.58 (step @p186 :rule reordering :premises (@p185) :args ((or @t105 @t102 @t100 @t111))) % 0.38/0.58 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p178 @p176) :args (@t111 (@list false true false) (@list @t104 @t102 @t99))) % 0.38/0.58 (assume-push @p194 @t112) % 0.38/0.58 (step @p189 :rule instantiate :premises (@p167) :args ((@list @t97 @t101 @t98))) % 0.38/0.58 (step-pop @p195 :rule scope :premises (@p189)) % 0.38/0.58 (step @p190 :rule process_scope :premises (@p195) :args (@t110)) % 0.38/0.58 (step @p192 :rule implies_elim :premises (@p190)) % 0.38/0.58 (step @p193 false :rule chain_m_resolution :premises (@p192 @p187 @p167) :args (false (@list true false) (@list @t110 @t112))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------