%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU747^2 : 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 : n011.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 08:53:01 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU747^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.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 17:50:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.binunionE Bool) % 0.37/0.60 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "Xx" $$unsorted)) % 0.37/0.60 (define @t3 () (_ tptp.in @t2)) % 0.37/0.60 (define @t4 () (_ @t3 @t1)) % 0.37/0.60 (define @t5 () (@var "A" $$unsorted)) % 0.37/0.60 (define @t6 () (_ @t3 @t5)) % 0.37/0.60 (define @t7 () (or @t6 @t4)) % 0.37/0.60 (define @t8 () (_ (_ tptp.binunion @t5) @t1)) % 0.37/0.60 (define @t9 () (_ @t3 @t8)) % 0.37/0.60 (define @t10 () (@list @t5 @t1 @t2)) % 0.37/0.60 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.37/0.60 (define @t12 () (= tptp.binunionE @t11)) % 0.37/0.60 (define @t13 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t14 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t15 () (_ (_ tptp.binunion @t14) @t13)) % 0.37/0.60 (define @t16 () (_ @t3 @t15)) % 0.37/0.60 (define @t17 () (not @t16)) % 0.37/0.60 (define @t18 () (_ @t3 @t13)) % 0.37/0.60 (define @t19 () (not @t18)) % 0.37/0.60 (define @t20 () (=> @t19 @t17)) % 0.37/0.60 (define @t21 () (_ @t3 @t14)) % 0.37/0.60 (define @t22 () (not @t21)) % 0.37/0.60 (define @t23 () (=> @t22 @t20)) % 0.37/0.60 (define @t24 () (@list @t2)) % 0.37/0.60 (define @t25 () (forall @t24 (=> @t6 @t23))) % 0.37/0.60 (define @t26 () (_ tptp.powerset @t5)) % 0.37/0.60 (define @t27 () (_ tptp.in @t13)) % 0.37/0.60 (define @t28 () (_ @t27 @t26)) % 0.37/0.60 (define @t29 () (=> @t28 @t25)) % 0.37/0.60 (define @t30 () (@list @t13)) % 0.37/0.60 (define @t31 () (forall @t30 @t29)) % 0.37/0.60 (define @t32 () (_ tptp.in @t14)) % 0.37/0.60 (define @t33 () (_ @t32 @t26)) % 0.37/0.60 (define @t34 () (=> @t33 @t31)) % 0.37/0.60 (define @t35 () (@list @t5 @t14)) % 0.37/0.60 (define @t36 () (forall @t35 @t34)) % 0.37/0.60 (define @t37 () (=> tptp.binunionE @t36)) % 0.37/0.60 (define @t38 () (not @t37)) % 0.37/0.60 (define @t39 () (@var "BOUND_VARIABLE_7518" $$unsorted)) % 0.37/0.60 (define @t40 () (@var "BOUND_VARIABLE_7520" $$unsorted)) % 0.37/0.60 (define @t41 () (not (tptp.in @t40 (tptp.binunion @t14 @t39)))) % 0.37/0.60 (define @t42 () (tptp.in @t40 @t39)) % 0.37/0.60 (define @t43 () (tptp.in @t40 @t14)) % 0.37/0.60 (define @t44 () (not (tptp.in @t40 @t5))) % 0.37/0.60 (define @t45 () (tptp.powerset @t5)) % 0.37/0.60 (define @t46 () (not (tptp.in @t39 @t45))) % 0.37/0.60 (define @t47 () (tptp.in @t14 @t45)) % 0.37/0.60 (define @t48 () (not @t47)) % 0.37/0.60 (define @t49 () (or @t48 @t46 @t44 @t43 @t42 @t41)) % 0.37/0.60 (define @t50 () (@list @t5 @t14 @t39 @t40)) % 0.37/0.60 (define @t51 () (forall @t50 @t49)) % 0.37/0.60 (define @t52 () (tptp.in @t2 @t1)) % 0.37/0.60 (define @t53 () (tptp.in @t2 @t5)) % 0.37/0.60 (define @t54 () (tptp.binunion @t5 @t1)) % 0.37/0.60 (define @t55 () (tptp.in @t2 @t54)) % 0.37/0.60 (define @t56 () (not @t9)) % 0.37/0.60 (define @t57 () (or @t56 @t6 @t4)) % 0.37/0.60 (define @t58 () (=> tptp.binunionE @t51)) % 0.37/0.60 (define @t59 () (or @t46 @t44 @t43 @t42 @t41)) % 0.37/0.60 (define @t60 () (or @t48 @t59)) % 0.37/0.60 (define @t61 () (forall @t50 @t60)) % 0.37/0.60 (define @t62 () (@list @t39 @t40)) % 0.37/0.60 (define @t63 () (forall @t62 @t60)) % 0.37/0.60 (define @t64 () (forall @t62 @t59)) % 0.37/0.60 (define @t65 () (@var "BOUND_VARIABLE_7494" $$unsorted)) % 0.37/0.60 (define @t66 () (or @t48 @t64)) % 0.37/0.60 (define @t67 () (tptp.binunion @t14 @t13)) % 0.37/0.60 (define @t68 () (not (tptp.in @t65 @t67))) % 0.37/0.60 (define @t69 () (tptp.in @t65 @t13)) % 0.37/0.60 (define @t70 () (tptp.in @t65 @t14)) % 0.37/0.60 (define @t71 () (not (tptp.in @t65 @t5))) % 0.37/0.60 (define @t72 () (tptp.in @t13 @t45)) % 0.37/0.60 (define @t73 () (not @t72)) % 0.37/0.60 (define @t74 () (or @t73 @t71 @t70 @t69 @t68)) % 0.37/0.60 (define @t75 () (@list @t13 @t65)) % 0.37/0.60 (define @t76 () (forall @t75 @t74)) % 0.37/0.60 (define @t77 () (not @t33)) % 0.37/0.60 (define @t78 () (or @t77 @t76)) % 0.37/0.60 (define @t79 () (or @t71 @t70 @t69 @t68)) % 0.37/0.60 (define @t80 () (or @t73 @t79)) % 0.37/0.60 (define @t81 () (forall @t75 @t80)) % 0.37/0.60 (define @t82 () (@list @t65)) % 0.37/0.60 (define @t83 () (forall @t82 @t80)) % 0.37/0.60 (define @t84 () (forall @t82 @t79)) % 0.37/0.60 (define @t85 () (or @t73 @t84)) % 0.37/0.60 (define @t86 () (tptp.in @t2 @t67)) % 0.37/0.60 (define @t87 () (tptp.in @t2 @t13)) % 0.37/0.60 (define @t88 () (tptp.in @t2 @t14)) % 0.37/0.60 (define @t89 () (forall @t24 (or (not @t53) @t88 @t87 (not @t86)))) % 0.37/0.60 (define @t90 () (not @t28)) % 0.37/0.60 (define @t91 () (or @t90 @t89)) % 0.37/0.60 (define @t92 () (not @t6)) % 0.37/0.60 (define @t93 () (or @t92 @t21 @t18 @t17)) % 0.37/0.60 (define @t94 () (or @t21 @t18 @t17)) % 0.37/0.60 (define @t95 () (@quantifiers_skolemize @t51 2)) % 0.37/0.60 (define @t96 () (@quantifiers_skolemize @t51 1)) % 0.37/0.60 (define @t97 () (@quantifiers_skolemize @t51 3)) % 0.37/0.60 (define @t98 () (tptp.in @t97 (tptp.binunion @t96 @t95))) % 0.37/0.60 (define @t99 () (not @t98)) % 0.37/0.60 (define @t100 () (tptp.in @t97 @t95)) % 0.37/0.60 (define @t101 () (tptp.in @t97 @t96)) % 0.37/0.60 (define @t102 () (@quantifiers_skolemize @t51 0)) % 0.37/0.60 (define @t103 () (tptp.powerset @t102)) % 0.37/0.60 (define @t104 () (or (not (tptp.in @t96 @t103)) (not (tptp.in @t95 @t103)) (not (tptp.in @t97 @t102)) @t101 @t100 @t99)) % 0.37/0.60 (define @t105 () (@list true)) % 0.37/0.60 (define @t106 () (@list @t104)) % 0.37/0.60 (define @t107 () (or @t99 @t101 @t100)) % 0.37/0.60 (define @t108 () (not @t107)) % 0.37/0.60 (define @t109 () (forall @t10 (or (not @t55) @t53 @t52))) % 0.37/0.60 (assume @p1 @t12) % 0.37/0.60 (assume @p2 @t38) % 0.37/0.60 (assume @p3 true) % 0.37/0.60 (step @p4 :rule refl :args (@t51)) % 0.37/0.60 (step @p5 :rule refl :args (@t52)) % 0.37/0.60 (step @p6 :rule refl :args (@t4)) % 0.37/0.60 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t52))) % 0.37/0.60 (step @p8 :rule symm :premises (@p7)) % 0.37/0.60 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.37/0.60 (step @p10 :rule refl :args (@t53)) % 0.37/0.60 (step @p11 :rule refl :args (@t6)) % 0.37/0.60 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t6 @t53))) % 0.37/0.60 (step @p13 :rule symm :premises (@p12)) % 0.37/0.60 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.37/0.60 (step @p15 :rule refl :args ((tptp.in @t2 @t8))) % 0.37/0.60 (step @p16 :rule refl :args (@t54)) % 0.37/0.60 (step @p17 :rule refl :args (@t2)) % 0.37/0.60 (step @p18 :rule cong :premises (@p17 @p16) :args (@t55)) % 0.37/0.60 (step @p19 :rule trans :premises (@p18 @p15)) % 0.37/0.60 (step @p20 :rule refl :args (@t3)) % 0.37/0.60 (step @p21 :rule ho_cong :premises (@p20 @p16)) % 0.37/0.60 (step @p22 :rule cong :premises (@p21 @p19) :args ((= (_ @t3 @t54) @t55))) % 0.37/0.60 (step @p23 :rule symm :premises (@p22)) % 0.37/0.60 (step @p24 :rule refl :args (@t9)) % 0.37/0.60 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.37/0.60 (step @p26 :rule refl :args (@t8)) % 0.37/0.60 (step @p27 :rule cong :premises (@p26 @p16) :args ((= @t8 @t54))) % 0.37/0.60 (step @p28 :rule symm :premises (@p27)) % 0.37/0.60 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.37/0.60 (step @p30 :rule ho_cong :premises (@p20 @p29)) % 0.37/0.60 (step @p31 :rule trans :premises (@p30 @p25)) % 0.37/0.60 (step @p32 :rule cong :premises (@p31) :args (@t56)) % 0.37/0.60 (step @p33 :rule nary_cong :premises (@p32 @p14 @p9) :args (@t57)) % 0.37/0.60 (step @p34 :rule cong :premises (@p33) :args ((forall @t10 @t57))) % 0.37/0.60 (step @p35 :rule aci_norm :args ((= (or @t56 @t7) @t57))) % 0.37/0.60 (step @p36 :rule bool-impl-elim :args (@t9 @t7)) % 0.37/0.60 (step @p37 :rule trans :premises (@p36 @p35)) % 0.37/0.60 (step @p38 :rule cong :premises (@p37) :args (@t11)) % 0.37/0.60 (step @p39 :rule trans :premises (@p38 @p34)) % 0.37/0.60 (step @p40 :rule refl :args (tptp.binunionE)) % 0.37/0.60 (step @p41 :rule cong :premises (@p40 @p39) :args (@t12)) % 0.37/0.60 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.37/0.60 (step @p43 :rule cong :premises (@p42 @p4) :args (@t58)) % 0.37/0.60 (step @p44 :rule cong :premises (@p43) :args ((not @t58))) % 0.37/0.60 (step @p45 :rule aci_norm :args ((= @t60 @t49))) % 0.37/0.60 (step @p46 :rule cong :premises (@p45) :args (@t61)) % 0.37/0.60 (step @p47 :rule quant-merge-prenex :args ((= (forall @t35 @t63) @t61))) % 0.37/0.60 (step @p48 :rule alpha_equiv :args (@t64 (@list @t39 @t40) (@list @t13 @t65))) % 0.37/0.60 (step @p49 :rule refl :args (@t48)) % 0.37/0.60 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t66)) % 0.37/0.60 (step @p51 :rule quant-miniscope-or :args ((= @t63 @t66))) % 0.37/0.60 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.60 (step @p53 :rule symm :premises (@p52)) % 0.37/0.60 (step @p54 :rule cong :premises (@p53) :args ((forall @t35 (or @t48 @t76)))) % 0.37/0.60 (step @p55 :rule trans :premises (@p54 @p47)) % 0.37/0.60 (step @p56 :rule trans :premises (@p55 @p46)) % 0.37/0.60 (step @p57 :rule refl :args (@t76)) % 0.37/0.60 (step @p58 :rule refl :args ((tptp.in @t14 @t26))) % 0.37/0.60 (step @p59 :rule refl :args (@t45)) % 0.37/0.60 (step @p60 :rule refl :args (@t14)) % 0.37/0.60 (step @p61 :rule cong :premises (@p60 @p59) :args (@t47)) % 0.37/0.60 (step @p62 :rule trans :premises (@p61 @p58)) % 0.37/0.60 (step @p63 :rule refl :args (@t32)) % 0.37/0.60 (step @p64 :rule ho_cong :premises (@p63 @p59)) % 0.37/0.60 (step @p65 :rule cong :premises (@p64 @p62) :args ((= (_ @t32 @t45) @t47))) % 0.37/0.60 (step @p66 :rule symm :premises (@p65)) % 0.37/0.60 (step @p67 :rule refl :args (@t33)) % 0.37/0.60 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.37/0.60 (step @p69 :rule refl :args (@t26)) % 0.37/0.60 (step @p70 :rule cong :premises (@p69 @p59) :args ((= @t26 @t45))) % 0.37/0.60 (step @p71 :rule symm :premises (@p70)) % 0.37/0.60 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.37/0.60 (step @p73 :rule ho_cong :premises (@p63 @p72)) % 0.37/0.60 (step @p74 :rule trans :premises (@p73 @p68)) % 0.37/0.60 (step @p75 :rule cong :premises (@p74) :args (@t77)) % 0.37/0.60 (step @p76 :rule nary_cong :premises (@p75 @p57) :args (@t78)) % 0.37/0.60 (step @p77 :rule cong :premises (@p76) :args ((forall @t35 @t78))) % 0.37/0.60 (step @p78 :rule trans :premises (@p77 @p56)) % 0.37/0.60 (step @p79 :rule bool-impl-elim :args (@t33 @t76)) % 0.37/0.60 (step @p80 :rule cong :premises (@p79) :args ((forall @t35 (=> @t33 @t76)))) % 0.37/0.60 (step @p81 :rule trans :premises (@p80 @p78)) % 0.37/0.60 (step @p82 :rule aci_norm :args ((= @t80 @t74))) % 0.37/0.60 (step @p83 :rule cong :premises (@p82) :args (@t81)) % 0.37/0.60 (step @p84 :rule quant-merge-prenex :args ((= (forall @t30 @t83) @t81))) % 0.37/0.60 (step @p85 :rule alpha_equiv :args (@t84 (@list @t65) (@list @t2))) % 0.37/0.60 (step @p86 :rule refl :args (@t73)) % 0.37/0.60 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t85)) % 0.37/0.60 (step @p88 :rule quant-miniscope-or :args ((= @t83 @t85))) % 0.37/0.60 (step @p89 :rule trans :premises (@p88 @p87)) % 0.37/0.60 (step @p90 :rule symm :premises (@p89)) % 0.37/0.60 (step @p91 :rule cong :premises (@p90) :args ((forall @t30 (or @t73 @t89)))) % 0.37/0.60 (step @p92 :rule trans :premises (@p91 @p84)) % 0.37/0.60 (step @p93 :rule trans :premises (@p92 @p83)) % 0.37/0.60 (step @p94 :rule refl :args (@t89)) % 0.37/0.60 (step @p95 :rule refl :args ((tptp.in @t13 @t26))) % 0.37/0.60 (step @p96 :rule refl :args (@t13)) % 0.37/0.60 (step @p97 :rule cong :premises (@p96 @p59) :args (@t72)) % 0.37/0.60 (step @p98 :rule trans :premises (@p97 @p95)) % 0.37/0.60 (step @p99 :rule refl :args (@t27)) % 0.37/0.60 (step @p100 :rule ho_cong :premises (@p99 @p59)) % 0.37/0.60 (step @p101 :rule cong :premises (@p100 @p98) :args ((= (_ @t27 @t45) @t72))) % 0.37/0.60 (step @p102 :rule symm :premises (@p101)) % 0.37/0.60 (step @p103 :rule refl :args (@t28)) % 0.37/0.60 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.37/0.60 (step @p105 :rule ho_cong :premises (@p99 @p72)) % 0.37/0.60 (step @p106 :rule trans :premises (@p105 @p104)) % 0.37/0.60 (step @p107 :rule cong :premises (@p106) :args (@t90)) % 0.37/0.60 (step @p108 :rule nary_cong :premises (@p107 @p94) :args (@t91)) % 0.37/0.60 (step @p109 :rule cong :premises (@p108) :args ((forall @t30 @t91))) % 0.37/0.60 (step @p110 :rule trans :premises (@p109 @p93)) % 0.37/0.60 (step @p111 :rule bool-impl-elim :args (@t28 @t89)) % 0.37/0.60 (step @p112 :rule cong :premises (@p111) :args ((forall @t30 (=> @t28 @t89)))) % 0.37/0.60 (step @p113 :rule trans :premises (@p112 @p110)) % 0.37/0.60 (step @p114 :rule refl :args ((tptp.in @t2 @t15))) % 0.37/0.60 (step @p115 :rule refl :args (@t67)) % 0.37/0.60 (step @p116 :rule cong :premises (@p17 @p115) :args (@t86)) % 0.37/0.60 (step @p117 :rule trans :premises (@p116 @p114)) % 0.37/0.60 (step @p118 :rule ho_cong :premises (@p20 @p115)) % 0.37/0.60 (step @p119 :rule cong :premises (@p118 @p117) :args ((= (_ @t3 @t67) @t86))) % 0.37/0.60 (step @p120 :rule symm :premises (@p119)) % 0.37/0.60 (step @p121 :rule refl :args (@t16)) % 0.37/0.60 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 0.37/0.60 (step @p123 :rule refl :args (@t15)) % 0.37/0.60 (step @p124 :rule cong :premises (@p123 @p115) :args ((= @t15 @t67))) % 0.37/0.60 (step @p125 :rule symm :premises (@p124)) % 0.37/0.60 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 0.37/0.60 (step @p127 :rule ho_cong :premises (@p20 @p126)) % 0.37/0.60 (step @p128 :rule trans :premises (@p127 @p122)) % 0.37/0.60 (step @p129 :rule cong :premises (@p128) :args (@t17)) % 0.37/0.60 (step @p130 :rule refl :args (@t87)) % 0.37/0.60 (step @p131 :rule refl :args (@t18)) % 0.37/0.60 (step @p132 :rule cong :premises (@p131 @p130) :args ((= @t18 @t87))) % 0.37/0.60 (step @p133 :rule symm :premises (@p132)) % 0.37/0.60 (step @p134 :rule eq_resolve :premises (@p131 @p133)) % 0.37/0.60 (step @p135 :rule refl :args (@t88)) % 0.37/0.60 (step @p136 :rule refl :args (@t21)) % 0.37/0.60 (step @p137 :rule cong :premises (@p136 @p135) :args ((= @t21 @t88))) % 0.37/0.60 (step @p138 :rule symm :premises (@p137)) % 0.37/0.60 (step @p139 :rule eq_resolve :premises (@p136 @p138)) % 0.37/0.60 (step @p140 :rule cong :premises (@p14) :args (@t92)) % 0.37/0.60 (step @p141 :rule nary_cong :premises (@p140 @p139 @p134 @p129) :args (@t93)) % 0.37/0.60 (step @p142 :rule cong :premises (@p141) :args ((forall @t24 @t93))) % 0.37/0.60 (step @p143 :rule aci_norm :args ((= (or @t92 @t94) @t93))) % 0.37/0.60 (step @p144 :rule aci_norm :args ((= (or @t21 (or @t18 @t17)) @t94))) % 0.37/0.60 (step @p145 :rule refl :args (@t17)) % 0.37/0.60 (step @p146 :rule bool-double-not-elim :args (@t18)) % 0.37/0.60 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t19) @t17))) % 0.37/0.60 (step @p148 :rule bool-impl-elim :args (@t19 @t17)) % 0.37/0.60 (step @p149 :rule trans :premises (@p148 @p147)) % 0.37/0.60 (step @p150 :rule nary_cong :premises (@p136 @p149) :args ((or @t21 @t20))) % 0.37/0.60 (step @p151 :rule trans :premises (@p150 @p144)) % 0.37/0.60 (step @p152 :rule refl :args (@t20)) % 0.37/0.60 (step @p153 :rule bool-double-not-elim :args (@t21)) % 0.37/0.60 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or (not @t22) @t20))) % 0.37/0.60 (step @p155 :rule bool-impl-elim :args (@t22 @t20)) % 0.37/0.60 (step @p156 :rule trans :premises (@p155 @p154)) % 0.37/0.60 (step @p157 :rule trans :premises (@p156 @p151)) % 0.37/0.60 (step @p158 :rule refl :args (@t92)) % 0.37/0.60 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t92 @t23))) % 0.37/0.60 (step @p160 :rule trans :premises (@p159 @p143)) % 0.37/0.60 (step @p161 :rule bool-impl-elim :args (@t6 @t23)) % 0.37/0.60 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.60 (step @p163 :rule cong :premises (@p162) :args (@t25)) % 0.37/0.60 (step @p164 :rule trans :premises (@p163 @p142)) % 0.37/0.60 (step @p165 :rule refl :args (@t28)) % 0.37/0.60 (step @p166 :rule cong :premises (@p165 @p164) :args (@t29)) % 0.37/0.60 (step @p167 :rule cong :premises (@p166) :args (@t31)) % 0.37/0.60 (step @p168 :rule trans :premises (@p167 @p113)) % 0.37/0.60 (step @p169 :rule refl :args (@t33)) % 0.37/0.60 (step @p170 :rule cong :premises (@p169 @p168) :args (@t34)) % 0.37/0.60 (step @p171 :rule cong :premises (@p170) :args (@t36)) % 0.37/0.60 (step @p172 :rule trans :premises (@p171 @p81)) % 0.37/0.60 (step @p173 :rule cong :premises (@p40 @p172) :args (@t37)) % 0.37/0.60 (step @p174 :rule cong :premises (@p173) :args (@t38)) % 0.37/0.60 (step @p175 :rule trans :premises (@p174 @p44)) % 0.37/0.60 (step @p176 :rule eq_resolve :premises (@p2 @p175)) % 0.37/0.60 (step @p177 :rule not_implies_elim1 :premises (@p176)) % 0.37/0.60 (step @p178 :rule not_implies_elim2 :premises (@p176)) % 0.37/0.60 (step @p179 :rule skolemize :premises (@p178)) % 0.37/0.60 (step @p180 :rule bool-double-not-elim :args (@t98)) % 0.37/0.60 (step @p181 :rule refl :args (@t104)) % 0.37/0.60 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t104 (not @t99)))) % 0.37/0.60 (step @p183 :rule cnf_or_neg :args (@t104 5)) % 0.37/0.60 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 0.37/0.60 (step @p185 :rule reordering :premises (@p184) :args ((or @t98 @t104))) % 0.37/0.60 (step @p186 :rule chain_m_resolution :premises (@p185 @p179) :args (@t98 @t105 @t106)) % 0.37/0.60 (step @p187 :rule cnf_or_neg :args (@t104 4)) % 0.37/0.60 (step @p188 :rule chain_m_resolution :premises (@p187 @p179) :args ((not @t100) @t105 @t106)) % 0.37/0.60 (step @p189 :rule cnf_or_neg :args (@t104 3)) % 0.37/0.60 (step @p190 :rule chain_m_resolution :premises (@p189 @p179) :args ((not @t101) @t105 @t106)) % 0.37/0.60 (step @p191 :rule cnf_or_pos :args (@t107)) % 0.37/0.60 (step @p192 :rule reordering :premises (@p191) :args ((or @t101 @t100 @t99 @t108))) % 0.37/0.60 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p188 @p186) :args (@t108 (@list true true false) (@list @t101 @t100 @t98))) % 0.37/0.60 (assume-push @p200 @t109) % 0.37/0.60 (step @p195 :rule instantiate :premises (@p177) :args ((@list @t96 @t95 @t97))) % 0.37/0.60 (step-pop @p201 :rule scope :premises (@p195)) % 0.37/0.60 (step @p196 :rule process_scope :premises (@p201) :args (@t107)) % 0.37/0.60 (step @p198 :rule implies_elim :premises (@p196)) % 0.37/0.60 (step @p199 false :rule chain_m_resolution :premises (@p198 @p193 @p177) :args (false (@list true false) (@list @t107 @t109))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------