%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU758^2 : 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 : 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 08:53:04 AM UTC 2026 % Result : Theorem 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU758^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:51:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.40/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.58 % SZS status Theorem % 0.40/0.58 % SZS output start Proof % 0.40/0.58 ( % 0.40/0.58 (declare-sort $$unsorted 0) % 0.40/0.58 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.powersetE Bool) % 0.40/0.58 (declare-const tptp.binintersectEL Bool) % 0.40/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.40/0.58 (define @t2 () (@var "Xx" $$unsorted)) % 0.40/0.58 (define @t3 () (_ tptp.in @t2)) % 0.40/0.58 (define @t4 () (_ @t3 @t1)) % 0.40/0.58 (define @t5 () (@var "B" $$unsorted)) % 0.40/0.58 (define @t6 () (_ @t3 @t5)) % 0.40/0.58 (define @t7 () (=> @t6 @t4)) % 0.40/0.58 (define @t8 () (_ tptp.powerset @t1)) % 0.40/0.58 (define @t9 () (_ tptp.in @t5)) % 0.40/0.58 (define @t10 () (_ @t9 @t8)) % 0.40/0.58 (define @t11 () (@list @t1 @t5 @t2)) % 0.40/0.58 (define @t12 () (forall @t11 (=> @t10 @t7))) % 0.40/0.58 (define @t13 () (= tptp.powersetE @t12)) % 0.40/0.58 (define @t14 () (_ (_ tptp.binintersect @t1) @t5)) % 0.40/0.58 (define @t15 () (_ @t3 @t14)) % 0.40/0.58 (define @t16 () (forall @t11 (=> @t15 @t4))) % 0.40/0.58 (define @t17 () (= tptp.binintersectEL @t16)) % 0.40/0.58 (define @t18 () (@var "Y" $$unsorted)) % 0.40/0.58 (define @t19 () (@var "X" $$unsorted)) % 0.40/0.58 (define @t20 () (_ (_ tptp.binintersect @t19) @t18)) % 0.40/0.58 (define @t21 () (_ @t3 @t20)) % 0.40/0.58 (define @t22 () (@list @t2)) % 0.40/0.58 (define @t23 () (forall @t22 (=> @t21 @t4))) % 0.40/0.58 (define @t24 () (_ tptp.in @t18)) % 0.40/0.58 (define @t25 () (_ @t24 @t8)) % 0.40/0.58 (define @t26 () (=> @t25 @t23)) % 0.40/0.58 (define @t27 () (@list @t18)) % 0.40/0.58 (define @t28 () (forall @t27 @t26)) % 0.40/0.58 (define @t29 () (_ tptp.in @t19)) % 0.40/0.58 (define @t30 () (_ @t29 @t8)) % 0.40/0.58 (define @t31 () (=> @t30 @t28)) % 0.40/0.58 (define @t32 () (@list @t1 @t19)) % 0.40/0.58 (define @t33 () (forall @t32 @t31)) % 0.40/0.58 (define @t34 () (=> tptp.binintersectEL @t33)) % 0.40/0.58 (define @t35 () (=> tptp.powersetE @t34)) % 0.40/0.58 (define @t36 () (not @t35)) % 0.40/0.58 (define @t37 () (@var "BOUND_VARIABLE_7525" $$unsorted)) % 0.40/0.58 (define @t38 () (tptp.in @t37 @t1)) % 0.40/0.58 (define @t39 () (@var "BOUND_VARIABLE_7523" $$unsorted)) % 0.40/0.58 (define @t40 () (not (tptp.in @t37 (tptp.binintersect @t19 @t39)))) % 0.40/0.58 (define @t41 () (tptp.powerset @t1)) % 0.40/0.58 (define @t42 () (not (tptp.in @t39 @t41))) % 0.40/0.58 (define @t43 () (tptp.in @t19 @t41)) % 0.40/0.58 (define @t44 () (not @t43)) % 0.40/0.58 (define @t45 () (or @t44 @t42 @t40 @t38)) % 0.40/0.58 (define @t46 () (@list @t1 @t19 @t39 @t37)) % 0.40/0.58 (define @t47 () (forall @t46 @t45)) % 0.40/0.58 (define @t48 () (tptp.in @t2 @t1)) % 0.40/0.58 (define @t49 () (tptp.binintersect @t1 @t5)) % 0.40/0.58 (define @t50 () (tptp.in @t2 @t49)) % 0.40/0.58 (define @t51 () (not @t15)) % 0.40/0.58 (define @t52 () (or @t51 @t4)) % 0.40/0.58 (define @t53 () (=> tptp.binintersectEL @t47)) % 0.40/0.58 (define @t54 () (tptp.in @t2 @t5)) % 0.40/0.58 (define @t55 () (not @t6)) % 0.40/0.58 (define @t56 () (tptp.in @t5 @t41)) % 0.40/0.58 (define @t57 () (not @t10)) % 0.40/0.58 (define @t58 () (or @t57 @t55 @t4)) % 0.40/0.58 (define @t59 () (=> tptp.powersetE @t53)) % 0.40/0.58 (define @t60 () (or @t42 @t40 @t38)) % 0.40/0.58 (define @t61 () (or @t44 @t60)) % 0.40/0.58 (define @t62 () (forall @t46 @t61)) % 0.40/0.58 (define @t63 () (@list @t39 @t37)) % 0.40/0.58 (define @t64 () (forall @t63 @t61)) % 0.40/0.58 (define @t65 () (forall @t63 @t60)) % 0.40/0.58 (define @t66 () (@var "BOUND_VARIABLE_7502" $$unsorted)) % 0.40/0.58 (define @t67 () (or @t44 @t65)) % 0.40/0.58 (define @t68 () (tptp.in @t66 @t1)) % 0.40/0.58 (define @t69 () (tptp.binintersect @t19 @t18)) % 0.40/0.58 (define @t70 () (not (tptp.in @t66 @t69))) % 0.40/0.58 (define @t71 () (tptp.in @t18 @t41)) % 0.40/0.58 (define @t72 () (not @t71)) % 0.40/0.58 (define @t73 () (or @t72 @t70 @t68)) % 0.40/0.58 (define @t74 () (@list @t18 @t66)) % 0.40/0.58 (define @t75 () (forall @t74 @t73)) % 0.40/0.58 (define @t76 () (not @t30)) % 0.40/0.58 (define @t77 () (or @t76 @t75)) % 0.40/0.58 (define @t78 () (or @t70 @t68)) % 0.40/0.58 (define @t79 () (or @t72 @t78)) % 0.40/0.58 (define @t80 () (forall @t74 @t79)) % 0.40/0.58 (define @t81 () (@list @t66)) % 0.40/0.58 (define @t82 () (forall @t81 @t79)) % 0.40/0.58 (define @t83 () (forall @t81 @t78)) % 0.40/0.58 (define @t84 () (or @t72 @t83)) % 0.40/0.58 (define @t85 () (tptp.in @t2 @t69)) % 0.40/0.58 (define @t86 () (forall @t22 (or (not @t85) @t48))) % 0.40/0.58 (define @t87 () (not @t25)) % 0.40/0.58 (define @t88 () (or @t87 @t86)) % 0.40/0.58 (define @t89 () (not @t21)) % 0.40/0.58 (define @t90 () (or @t89 @t4)) % 0.40/0.58 (define @t91 () (@quantifiers_skolemize @t47 3)) % 0.40/0.58 (define @t92 () (@quantifiers_skolemize @t47 2)) % 0.40/0.58 (define @t93 () (@quantifiers_skolemize @t47 1)) % 0.40/0.58 (define @t94 () (tptp.in @t91 (tptp.binintersect @t93 @t92))) % 0.40/0.58 (define @t95 () (@quantifiers_skolemize @t47 0)) % 0.40/0.58 (define @t96 () (tptp.in @t91 @t95)) % 0.40/0.58 (define @t97 () (not @t94)) % 0.40/0.58 (define @t98 () (tptp.powerset @t95)) % 0.40/0.58 (define @t99 () (tptp.in @t93 @t98)) % 0.40/0.58 (define @t100 () (not @t99)) % 0.40/0.58 (define @t101 () (or @t100 (not (tptp.in @t92 @t98)) @t97 @t96)) % 0.40/0.58 (define @t102 () (@list true)) % 0.40/0.58 (define @t103 () (@list @t101)) % 0.40/0.58 (define @t104 () (tptp.in @t91 @t93)) % 0.40/0.58 (define @t105 () (or @t97 @t104)) % 0.40/0.58 (define @t106 () (not @t104)) % 0.40/0.58 (define @t107 () (or @t100 @t106 @t96)) % 0.40/0.58 (define @t108 () (not @t107)) % 0.40/0.58 (define @t109 () (forall @t11 (or (not @t56) (not @t54) @t48))) % 0.40/0.58 (assume @p1 @t13) % 0.40/0.58 (assume @p2 @t17) % 0.40/0.58 (assume @p3 @t36) % 0.40/0.58 (assume @p4 true) % 0.40/0.58 (step @p5 :rule refl :args (@t47)) % 0.40/0.58 (step @p6 :rule refl :args (@t48)) % 0.40/0.58 (step @p7 :rule refl :args (@t4)) % 0.40/0.58 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t4 @t48))) % 0.40/0.58 (step @p9 :rule symm :premises (@p8)) % 0.40/0.58 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.40/0.58 (step @p11 :rule refl :args ((tptp.in @t2 @t14))) % 0.40/0.58 (step @p12 :rule refl :args (@t49)) % 0.40/0.58 (step @p13 :rule refl :args (@t2)) % 0.40/0.58 (step @p14 :rule cong :premises (@p13 @p12) :args (@t50)) % 0.40/0.58 (step @p15 :rule trans :premises (@p14 @p11)) % 0.40/0.58 (step @p16 :rule refl :args (@t3)) % 0.40/0.58 (step @p17 :rule ho_cong :premises (@p16 @p12)) % 0.40/0.58 (step @p18 :rule cong :premises (@p17 @p15) :args ((= (_ @t3 @t49) @t50))) % 0.40/0.58 (step @p19 :rule symm :premises (@p18)) % 0.40/0.58 (step @p20 :rule refl :args (@t15)) % 0.40/0.58 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.40/0.58 (step @p22 :rule refl :args (@t14)) % 0.40/0.58 (step @p23 :rule cong :premises (@p22 @p12) :args ((= @t14 @t49))) % 0.40/0.58 (step @p24 :rule symm :premises (@p23)) % 0.40/0.58 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.40/0.58 (step @p26 :rule ho_cong :premises (@p16 @p25)) % 0.40/0.58 (step @p27 :rule trans :premises (@p26 @p21)) % 0.40/0.58 (step @p28 :rule cong :premises (@p27) :args (@t51)) % 0.40/0.58 (step @p29 :rule nary_cong :premises (@p28 @p10) :args (@t52)) % 0.40/0.58 (step @p30 :rule cong :premises (@p29) :args ((forall @t11 @t52))) % 0.40/0.58 (step @p31 :rule bool-impl-elim :args (@t15 @t4)) % 0.40/0.58 (step @p32 :rule cong :premises (@p31) :args (@t16)) % 0.40/0.58 (step @p33 :rule trans :premises (@p32 @p30)) % 0.40/0.58 (step @p34 :rule refl :args (tptp.binintersectEL)) % 0.40/0.58 (step @p35 :rule cong :premises (@p34 @p33) :args (@t17)) % 0.40/0.58 (step @p36 :rule eq_resolve :premises (@p2 @p35)) % 0.40/0.58 (step @p37 :rule cong :premises (@p36 @p5) :args (@t53)) % 0.40/0.58 (step @p38 :rule refl :args (@t54)) % 0.40/0.58 (step @p39 :rule refl :args (@t6)) % 0.40/0.58 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t6 @t54))) % 0.40/0.58 (step @p41 :rule symm :premises (@p40)) % 0.40/0.58 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.40/0.58 (step @p43 :rule cong :premises (@p42) :args (@t55)) % 0.40/0.58 (step @p44 :rule refl :args ((tptp.in @t5 @t8))) % 0.40/0.58 (step @p45 :rule refl :args (@t41)) % 0.40/0.58 (step @p46 :rule refl :args (@t5)) % 0.40/0.58 (step @p47 :rule cong :premises (@p46 @p45) :args (@t56)) % 0.40/0.58 (step @p48 :rule trans :premises (@p47 @p44)) % 0.40/0.58 (step @p49 :rule refl :args (@t9)) % 0.40/0.58 (step @p50 :rule ho_cong :premises (@p49 @p45)) % 0.40/0.58 (step @p51 :rule cong :premises (@p50 @p48) :args ((= (_ @t9 @t41) @t56))) % 0.40/0.58 (step @p52 :rule symm :premises (@p51)) % 0.40/0.58 (step @p53 :rule refl :args (@t10)) % 0.40/0.58 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.40/0.58 (step @p55 :rule refl :args (@t8)) % 0.40/0.58 (step @p56 :rule cong :premises (@p55 @p45) :args ((= @t8 @t41))) % 0.40/0.58 (step @p57 :rule symm :premises (@p56)) % 0.40/0.58 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.40/0.58 (step @p59 :rule ho_cong :premises (@p49 @p58)) % 0.40/0.58 (step @p60 :rule trans :premises (@p59 @p54)) % 0.40/0.58 (step @p61 :rule cong :premises (@p60) :args (@t57)) % 0.40/0.58 (step @p62 :rule nary_cong :premises (@p61 @p43 @p10) :args (@t58)) % 0.40/0.58 (step @p63 :rule cong :premises (@p62) :args ((forall @t11 @t58))) % 0.40/0.58 (step @p64 :rule aci_norm :args ((= (or @t57 (or @t55 @t4)) @t58))) % 0.40/0.58 (step @p65 :rule bool-impl-elim :args (@t6 @t4)) % 0.40/0.58 (step @p66 :rule refl :args (@t57)) % 0.40/0.58 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t57 @t7))) % 0.40/0.58 (step @p68 :rule trans :premises (@p67 @p64)) % 0.40/0.58 (step @p69 :rule bool-impl-elim :args (@t10 @t7)) % 0.40/0.58 (step @p70 :rule trans :premises (@p69 @p68)) % 0.40/0.58 (step @p71 :rule cong :premises (@p70) :args (@t12)) % 0.40/0.58 (step @p72 :rule trans :premises (@p71 @p63)) % 0.40/0.58 (step @p73 :rule refl :args (tptp.powersetE)) % 0.40/0.58 (step @p74 :rule cong :premises (@p73 @p72) :args (@t13)) % 0.40/0.58 (step @p75 :rule eq_resolve :premises (@p1 @p74)) % 0.40/0.58 (step @p76 :rule cong :premises (@p75 @p37) :args (@t59)) % 0.40/0.58 (step @p77 :rule cong :premises (@p76) :args ((not @t59))) % 0.40/0.58 (step @p78 :rule aci_norm :args ((= @t61 @t45))) % 0.40/0.58 (step @p79 :rule cong :premises (@p78) :args (@t62)) % 0.40/0.58 (step @p80 :rule quant-merge-prenex :args ((= (forall @t32 @t64) @t62))) % 0.40/0.58 (step @p81 :rule alpha_equiv :args (@t65 (@list @t39 @t37) (@list @t18 @t66))) % 0.40/0.58 (step @p82 :rule refl :args (@t44)) % 0.40/0.58 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t67)) % 0.40/0.58 (step @p84 :rule quant-miniscope-or :args ((= @t64 @t67))) % 0.40/0.58 (step @p85 :rule trans :premises (@p84 @p83)) % 0.40/0.58 (step @p86 :rule symm :premises (@p85)) % 0.40/0.58 (step @p87 :rule cong :premises (@p86) :args ((forall @t32 (or @t44 @t75)))) % 0.40/0.58 (step @p88 :rule trans :premises (@p87 @p80)) % 0.40/0.58 (step @p89 :rule trans :premises (@p88 @p79)) % 0.40/0.58 (step @p90 :rule refl :args (@t75)) % 0.40/0.58 (step @p91 :rule refl :args ((tptp.in @t19 @t8))) % 0.40/0.58 (step @p92 :rule refl :args (@t19)) % 0.40/0.58 (step @p93 :rule cong :premises (@p92 @p45) :args (@t43)) % 0.40/0.58 (step @p94 :rule trans :premises (@p93 @p91)) % 0.40/0.58 (step @p95 :rule refl :args (@t29)) % 0.40/0.58 (step @p96 :rule ho_cong :premises (@p95 @p45)) % 0.40/0.58 (step @p97 :rule cong :premises (@p96 @p94) :args ((= (_ @t29 @t41) @t43))) % 0.40/0.58 (step @p98 :rule symm :premises (@p97)) % 0.40/0.58 (step @p99 :rule refl :args (@t30)) % 0.40/0.58 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.40/0.58 (step @p101 :rule ho_cong :premises (@p95 @p58)) % 0.40/0.58 (step @p102 :rule trans :premises (@p101 @p100)) % 0.40/0.58 (step @p103 :rule cong :premises (@p102) :args (@t76)) % 0.40/0.58 (step @p104 :rule nary_cong :premises (@p103 @p90) :args (@t77)) % 0.40/0.58 (step @p105 :rule cong :premises (@p104) :args ((forall @t32 @t77))) % 0.40/0.58 (step @p106 :rule trans :premises (@p105 @p89)) % 0.40/0.58 (step @p107 :rule bool-impl-elim :args (@t30 @t75)) % 0.40/0.58 (step @p108 :rule cong :premises (@p107) :args ((forall @t32 (=> @t30 @t75)))) % 0.40/0.58 (step @p109 :rule trans :premises (@p108 @p106)) % 0.40/0.58 (step @p110 :rule aci_norm :args ((= @t79 @t73))) % 0.40/0.58 (step @p111 :rule cong :premises (@p110) :args (@t80)) % 0.40/0.58 (step @p112 :rule quant-merge-prenex :args ((= (forall @t27 @t82) @t80))) % 0.40/0.58 (step @p113 :rule alpha_equiv :args (@t83 (@list @t66) (@list @t2))) % 0.40/0.58 (step @p114 :rule refl :args (@t72)) % 0.40/0.58 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t84)) % 0.40/0.58 (step @p116 :rule quant-miniscope-or :args ((= @t82 @t84))) % 0.40/0.58 (step @p117 :rule trans :premises (@p116 @p115)) % 0.40/0.58 (step @p118 :rule symm :premises (@p117)) % 0.40/0.58 (step @p119 :rule cong :premises (@p118) :args ((forall @t27 (or @t72 @t86)))) % 0.40/0.58 (step @p120 :rule trans :premises (@p119 @p112)) % 0.40/0.58 (step @p121 :rule trans :premises (@p120 @p111)) % 0.40/0.58 (step @p122 :rule refl :args (@t86)) % 0.40/0.58 (step @p123 :rule refl :args ((tptp.in @t18 @t8))) % 0.40/0.58 (step @p124 :rule refl :args (@t18)) % 0.40/0.58 (step @p125 :rule cong :premises (@p124 @p45) :args (@t71)) % 0.40/0.58 (step @p126 :rule trans :premises (@p125 @p123)) % 0.40/0.58 (step @p127 :rule refl :args (@t24)) % 0.40/0.58 (step @p128 :rule ho_cong :premises (@p127 @p45)) % 0.40/0.58 (step @p129 :rule cong :premises (@p128 @p126) :args ((= (_ @t24 @t41) @t71))) % 0.40/0.58 (step @p130 :rule symm :premises (@p129)) % 0.40/0.58 (step @p131 :rule refl :args (@t25)) % 0.40/0.58 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 0.40/0.58 (step @p133 :rule ho_cong :premises (@p127 @p58)) % 0.40/0.58 (step @p134 :rule trans :premises (@p133 @p132)) % 0.40/0.58 (step @p135 :rule cong :premises (@p134) :args (@t87)) % 0.40/0.58 (step @p136 :rule nary_cong :premises (@p135 @p122) :args (@t88)) % 0.40/0.58 (step @p137 :rule cong :premises (@p136) :args ((forall @t27 @t88))) % 0.40/0.58 (step @p138 :rule trans :premises (@p137 @p121)) % 0.40/0.58 (step @p139 :rule bool-impl-elim :args (@t25 @t86)) % 0.40/0.58 (step @p140 :rule cong :premises (@p139) :args ((forall @t27 (=> @t25 @t86)))) % 0.40/0.58 (step @p141 :rule trans :premises (@p140 @p138)) % 0.40/0.58 (step @p142 :rule refl :args ((tptp.in @t2 @t20))) % 0.40/0.58 (step @p143 :rule refl :args (@t69)) % 0.40/0.58 (step @p144 :rule cong :premises (@p13 @p143) :args (@t85)) % 0.40/0.58 (step @p145 :rule trans :premises (@p144 @p142)) % 0.40/0.58 (step @p146 :rule ho_cong :premises (@p16 @p143)) % 0.40/0.58 (step @p147 :rule cong :premises (@p146 @p145) :args ((= (_ @t3 @t69) @t85))) % 0.40/0.58 (step @p148 :rule symm :premises (@p147)) % 0.40/0.58 (step @p149 :rule refl :args (@t21)) % 0.40/0.58 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 0.40/0.58 (step @p151 :rule refl :args (@t20)) % 0.40/0.58 (step @p152 :rule cong :premises (@p151 @p143) :args ((= @t20 @t69))) % 0.40/0.58 (step @p153 :rule symm :premises (@p152)) % 0.40/0.58 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 0.40/0.58 (step @p155 :rule ho_cong :premises (@p16 @p154)) % 0.40/0.58 (step @p156 :rule trans :premises (@p155 @p150)) % 0.40/0.58 (step @p157 :rule cong :premises (@p156) :args (@t89)) % 0.40/0.58 (step @p158 :rule nary_cong :premises (@p157 @p10) :args (@t90)) % 0.40/0.58 (step @p159 :rule cong :premises (@p158) :args ((forall @t22 @t90))) % 0.40/0.58 (step @p160 :rule bool-impl-elim :args (@t21 @t4)) % 0.40/0.58 (step @p161 :rule cong :premises (@p160) :args (@t23)) % 0.40/0.58 (step @p162 :rule trans :premises (@p161 @p159)) % 0.40/0.58 (step @p163 :rule refl :args (@t25)) % 0.40/0.58 (step @p164 :rule cong :premises (@p163 @p162) :args (@t26)) % 0.40/0.58 (step @p165 :rule cong :premises (@p164) :args (@t28)) % 0.40/0.58 (step @p166 :rule trans :premises (@p165 @p141)) % 0.40/0.58 (step @p167 :rule refl :args (@t30)) % 0.40/0.58 (step @p168 :rule cong :premises (@p167 @p166) :args (@t31)) % 0.40/0.58 (step @p169 :rule cong :premises (@p168) :args (@t33)) % 0.40/0.58 (step @p170 :rule trans :premises (@p169 @p109)) % 0.40/0.58 (step @p171 :rule cong :premises (@p34 @p170) :args (@t34)) % 0.40/0.58 (step @p172 :rule cong :premises (@p73 @p171) :args (@t35)) % 0.40/0.58 (step @p173 :rule cong :premises (@p172) :args (@t36)) % 0.40/0.58 (step @p174 :rule trans :premises (@p173 @p77)) % 0.40/0.58 (step @p175 :rule eq_resolve :premises (@p3 @p174)) % 0.40/0.58 (step @p176 :rule not_implies_elim1 :premises (@p175)) % 0.40/0.58 (step @p177 :rule not_implies_elim2 :premises (@p175)) % 0.40/0.58 (step @p178 :rule not_implies_elim1 :premises (@p177)) % 0.40/0.58 (step @p179 :rule instantiate :premises (@p178) :args ((@list @t93 @t92 @t91))) % 0.40/0.58 (step @p180 :rule not_implies_elim2 :premises (@p177)) % 0.40/0.58 (step @p181 :rule skolemize :premises (@p180)) % 0.40/0.58 (step @p182 :rule bool-double-not-elim :args (@t94)) % 0.40/0.58 (step @p183 :rule refl :args (@t101)) % 0.40/0.58 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t101 (not @t97)))) % 0.40/0.58 (step @p185 :rule cnf_or_neg :args (@t101 2)) % 0.40/0.58 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.40/0.58 (step @p187 :rule reordering :premises (@p186) :args ((or @t94 @t101))) % 0.40/0.58 (step @p188 :rule chain_m_resolution :premises (@p187 @p181) :args (@t94 @t102 @t103)) % 0.40/0.58 (step @p189 :rule cnf_or_pos :args (@t105)) % 0.40/0.58 (step @p190 :rule reordering :premises (@p189) :args ((or @t97 @t104 (not @t105)))) % 0.40/0.58 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p179) :args (@t104 (@list false false) (@list @t94 @t105))) % 0.40/0.58 (step @p192 :rule cnf_or_neg :args (@t101 3)) % 0.40/0.58 (step @p193 :rule chain_m_resolution :premises (@p192 @p181) :args ((not @t96) @t102 @t103)) % 0.40/0.58 (step @p194 :rule bool-double-not-elim :args (@t99)) % 0.40/0.58 (step @p195 :rule nary_cong :premises (@p183 @p194) :args ((or @t101 (not @t100)))) % 0.40/0.58 (step @p196 :rule cnf_or_neg :args (@t101 0)) % 0.40/0.58 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 0.40/0.58 (step @p198 :rule reordering :premises (@p197) :args ((or @t99 @t101))) % 0.40/0.58 (step @p199 :rule chain_m_resolution :premises (@p198 @p181) :args (@t99 @t102 @t103)) % 0.40/0.58 (step @p200 :rule cnf_or_pos :args (@t107)) % 0.40/0.58 (step @p201 :rule reordering :premises (@p200) :args ((or @t100 @t96 @t106 @t108))) % 0.40/0.58 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p193 @p191) :args (@t108 (@list false true false) (@list @t99 @t96 @t104))) % 0.40/0.58 (assume-push @p209 @t109) % 0.40/0.58 (step @p204 :rule instantiate :premises (@p176) :args ((@list @t95 @t93 @t91))) % 0.40/0.58 (step-pop @p210 :rule scope :premises (@p204)) % 0.40/0.58 (step @p205 :rule process_scope :premises (@p210) :args (@t107)) % 0.40/0.58 (step @p207 :rule implies_elim :premises (@p205)) % 0.40/0.58 (step @p208 false :rule chain_m_resolution :premises (@p207 @p202 @p176) :args (false (@list true false) (@list @t107 @t109))) % 0.40/0.58 ) % 0.40/0.58 % SZS output end Proof % 0.40/0.58 % cvc5 exiting %------------------------------------------------------------------------------