%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU716^2 : 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 08:52:51 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU716^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % 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 17:48:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.39/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.subsetI2 Bool) % 0.39/0.58 (declare-const tptp.powersetE Bool) % 0.39/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "Xx" $$unsorted)) % 0.39/0.58 (define @t3 () (_ tptp.in @t2)) % 0.39/0.58 (define @t4 () (_ @t3 @t1)) % 0.39/0.58 (define @t5 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t6 () (_ @t3 @t5)) % 0.39/0.58 (define @t7 () (=> @t6 @t4)) % 0.39/0.58 (define @t8 () (_ tptp.powerset @t1)) % 0.39/0.58 (define @t9 () (_ tptp.in @t5)) % 0.39/0.58 (define @t10 () (_ @t9 @t8)) % 0.39/0.58 (define @t11 () (@list @t1 @t5 @t2)) % 0.39/0.58 (define @t12 () (forall @t11 (=> @t10 @t7))) % 0.39/0.58 (define @t13 () (= tptp.powersetE @t12)) % 0.39/0.58 (define @t14 () (_ (_ tptp.subset @t1) @t5)) % 0.39/0.58 (define @t15 () (@list @t2)) % 0.39/0.58 (define @t16 () (forall @t15 (=> @t4 @t6))) % 0.39/0.58 (define @t17 () (=> @t16 @t14)) % 0.39/0.58 (define @t18 () (@list @t1 @t5)) % 0.39/0.58 (define @t19 () (forall @t18 @t17)) % 0.39/0.58 (define @t20 () (= tptp.subsetI2 @t19)) % 0.39/0.58 (define @t21 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t22 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t23 () (_ (_ tptp.subset @t22) @t21)) % 0.39/0.58 (define @t24 () (_ @t3 @t21)) % 0.39/0.58 (define @t25 () (_ @t3 @t22)) % 0.39/0.58 (define @t26 () (=> @t25 @t24)) % 0.39/0.58 (define @t27 () (forall @t15 (=> @t4 @t26))) % 0.39/0.58 (define @t28 () (=> @t27 @t23)) % 0.39/0.58 (define @t29 () (_ tptp.in @t21)) % 0.39/0.58 (define @t30 () (_ @t29 @t8)) % 0.39/0.58 (define @t31 () (=> @t30 @t28)) % 0.39/0.58 (define @t32 () (@list @t21)) % 0.39/0.58 (define @t33 () (forall @t32 @t31)) % 0.39/0.58 (define @t34 () (_ tptp.in @t22)) % 0.39/0.58 (define @t35 () (_ @t34 @t8)) % 0.39/0.58 (define @t36 () (=> @t35 @t33)) % 0.39/0.58 (define @t37 () (@list @t1 @t22)) % 0.39/0.58 (define @t38 () (forall @t37 @t36)) % 0.39/0.58 (define @t39 () (=> tptp.subsetI2 @t38)) % 0.39/0.58 (define @t40 () (=> tptp.powersetE @t39)) % 0.39/0.58 (define @t41 () (not @t40)) % 0.39/0.58 (define @t42 () (@var "BOUND_VARIABLE_7525" $$unsorted)) % 0.39/0.58 (define @t43 () (tptp.subset @t22 @t42)) % 0.39/0.58 (define @t44 () (tptp.in @t2 @t22)) % 0.39/0.58 (define @t45 () (not @t44)) % 0.39/0.58 (define @t46 () (tptp.in @t2 @t1)) % 0.39/0.58 (define @t47 () (not @t46)) % 0.39/0.58 (define @t48 () (not (forall @t15 (or @t47 @t45 (tptp.in @t2 @t42))))) % 0.39/0.58 (define @t49 () (tptp.powerset @t1)) % 0.39/0.58 (define @t50 () (not (tptp.in @t42 @t49))) % 0.39/0.58 (define @t51 () (tptp.in @t22 @t49)) % 0.39/0.58 (define @t52 () (not @t51)) % 0.39/0.58 (define @t53 () (or @t52 @t50 @t48 @t43)) % 0.39/0.58 (define @t54 () (@list @t1 @t22 @t42)) % 0.39/0.58 (define @t55 () (forall @t54 @t53)) % 0.39/0.58 (define @t56 () (tptp.subset @t1 @t5)) % 0.39/0.58 (define @t57 () (tptp.in @t2 @t5)) % 0.39/0.58 (define @t58 () (forall @t15 (or @t47 @t57))) % 0.39/0.58 (define @t59 () (not @t58)) % 0.39/0.58 (define @t60 () (or @t59 @t14)) % 0.39/0.58 (define @t61 () (not @t4)) % 0.39/0.58 (define @t62 () (or @t61 @t6)) % 0.39/0.58 (define @t63 () (=> tptp.subsetI2 @t55)) % 0.39/0.58 (define @t64 () (not @t6)) % 0.39/0.58 (define @t65 () (tptp.in @t5 @t49)) % 0.39/0.58 (define @t66 () (not @t10)) % 0.39/0.58 (define @t67 () (or @t66 @t64 @t4)) % 0.39/0.58 (define @t68 () (=> tptp.powersetE @t63)) % 0.39/0.58 (define @t69 () (or @t50 @t48 @t43)) % 0.39/0.58 (define @t70 () (or @t52 @t69)) % 0.39/0.58 (define @t71 () (forall @t54 @t70)) % 0.39/0.58 (define @t72 () (@list @t42)) % 0.39/0.58 (define @t73 () (forall @t72 @t70)) % 0.39/0.58 (define @t74 () (forall @t72 @t69)) % 0.39/0.58 (define @t75 () (or @t52 @t74)) % 0.39/0.58 (define @t76 () (tptp.subset @t22 @t21)) % 0.39/0.58 (define @t77 () (tptp.in @t2 @t21)) % 0.39/0.58 (define @t78 () (forall @t15 (or @t47 @t45 @t77))) % 0.39/0.58 (define @t79 () (not @t78)) % 0.39/0.58 (define @t80 () (tptp.in @t21 @t49)) % 0.39/0.58 (define @t81 () (forall @t32 (or (not @t80) @t79 @t76))) % 0.39/0.58 (define @t82 () (not @t35)) % 0.39/0.58 (define @t83 () (or @t82 @t81)) % 0.39/0.58 (define @t84 () (not @t30)) % 0.39/0.58 (define @t85 () (or @t84 @t79 @t23)) % 0.39/0.58 (define @t86 () (=> @t78 @t23)) % 0.39/0.58 (define @t87 () (not @t25)) % 0.39/0.58 (define @t88 () (or @t61 @t87 @t24)) % 0.39/0.58 (define @t89 () (@quantifiers_skolemize @t55 2)) % 0.39/0.58 (define @t90 () (@quantifiers_skolemize @t55 1)) % 0.39/0.58 (define @t91 () (tptp.subset @t90 @t89)) % 0.39/0.58 (define @t92 () (tptp.in @t2 @t89)) % 0.39/0.58 (define @t93 () (not (tptp.in @t2 @t90))) % 0.39/0.58 (define @t94 () (@quantifiers_skolemize @t55 0)) % 0.39/0.58 (define @t95 () (forall @t15 (or (not (tptp.in @t2 @t94)) @t93 @t92))) % 0.39/0.58 (define @t96 () (not @t95)) % 0.39/0.58 (define @t97 () (tptp.powerset @t94)) % 0.39/0.58 (define @t98 () (tptp.in @t90 @t97)) % 0.39/0.58 (define @t99 () (not @t98)) % 0.39/0.58 (define @t100 () (or @t99 (not (tptp.in @t89 @t97)) @t96 @t91)) % 0.39/0.58 (define @t101 () (@list true)) % 0.39/0.58 (define @t102 () (@list @t100)) % 0.39/0.58 (define @t103 () (forall @t15 (or @t93 @t92))) % 0.39/0.58 (define @t104 () (not @t103)) % 0.39/0.58 (define @t105 () (or @t104 @t91)) % 0.39/0.58 (define @t106 () (@quantifiers_skolemize @t103 0)) % 0.39/0.58 (define @t107 () (tptp.in @t106 @t90)) % 0.39/0.58 (define @t108 () (tptp.in @t106 @t89)) % 0.39/0.58 (define @t109 () (not @t107)) % 0.39/0.58 (define @t110 () (or @t109 @t108)) % 0.39/0.58 (define @t111 () (@list @t110)) % 0.39/0.58 (define @t112 () (tptp.in @t106 @t94)) % 0.39/0.58 (define @t113 () (or @t99 @t109 @t112)) % 0.39/0.58 (define @t114 () (not @t112)) % 0.39/0.58 (define @t115 () (or @t114 @t109 @t108)) % 0.39/0.58 (assume @p1 @t13) % 0.39/0.58 (assume @p2 @t20) % 0.39/0.58 (assume @p3 @t41) % 0.39/0.58 (assume @p4 true) % 0.39/0.58 (step @p5 :rule refl :args (@t55)) % 0.39/0.58 (step @p6 :rule refl :args (@t56)) % 0.39/0.58 (step @p7 :rule refl :args (@t14)) % 0.39/0.58 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t14 @t56))) % 0.39/0.58 (step @p9 :rule symm :premises (@p8)) % 0.39/0.58 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.39/0.58 (step @p11 :rule refl :args (@t59)) % 0.39/0.58 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t60)) % 0.39/0.58 (step @p13 :rule cong :premises (@p12) :args ((forall @t18 @t60))) % 0.39/0.58 (step @p14 :rule bool-impl-elim :args (@t58 @t14)) % 0.39/0.58 (step @p15 :rule cong :premises (@p14) :args ((forall @t18 (=> @t58 @t14)))) % 0.39/0.58 (step @p16 :rule trans :premises (@p15 @p13)) % 0.39/0.58 (step @p17 :rule refl :args (@t14)) % 0.39/0.58 (step @p18 :rule refl :args (@t57)) % 0.39/0.58 (step @p19 :rule refl :args (@t6)) % 0.39/0.58 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t6 @t57))) % 0.39/0.58 (step @p21 :rule symm :premises (@p20)) % 0.39/0.58 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.39/0.58 (step @p23 :rule refl :args (@t46)) % 0.39/0.58 (step @p24 :rule refl :args (@t4)) % 0.39/0.58 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t4 @t46))) % 0.39/0.58 (step @p26 :rule symm :premises (@p25)) % 0.39/0.58 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.39/0.58 (step @p28 :rule cong :premises (@p27) :args (@t61)) % 0.39/0.58 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t62)) % 0.39/0.58 (step @p30 :rule cong :premises (@p29) :args ((forall @t15 @t62))) % 0.39/0.58 (step @p31 :rule bool-impl-elim :args (@t4 @t6)) % 0.39/0.58 (step @p32 :rule cong :premises (@p31) :args (@t16)) % 0.39/0.58 (step @p33 :rule trans :premises (@p32 @p30)) % 0.39/0.58 (step @p34 :rule cong :premises (@p33 @p17) :args (@t17)) % 0.39/0.58 (step @p35 :rule cong :premises (@p34) :args (@t19)) % 0.39/0.58 (step @p36 :rule trans :premises (@p35 @p16)) % 0.39/0.58 (step @p37 :rule refl :args (tptp.subsetI2)) % 0.39/0.58 (step @p38 :rule cong :premises (@p37 @p36) :args (@t20)) % 0.39/0.58 (step @p39 :rule eq_resolve :premises (@p2 @p38)) % 0.39/0.58 (step @p40 :rule cong :premises (@p39 @p5) :args (@t63)) % 0.39/0.58 (step @p41 :rule cong :premises (@p22) :args (@t64)) % 0.39/0.58 (step @p42 :rule refl :args ((tptp.in @t5 @t8))) % 0.39/0.58 (step @p43 :rule refl :args (@t49)) % 0.39/0.58 (step @p44 :rule refl :args (@t5)) % 0.39/0.58 (step @p45 :rule cong :premises (@p44 @p43) :args (@t65)) % 0.39/0.58 (step @p46 :rule trans :premises (@p45 @p42)) % 0.39/0.58 (step @p47 :rule refl :args (@t9)) % 0.39/0.58 (step @p48 :rule ho_cong :premises (@p47 @p43)) % 0.39/0.58 (step @p49 :rule cong :premises (@p48 @p46) :args ((= (_ @t9 @t49) @t65))) % 0.39/0.58 (step @p50 :rule symm :premises (@p49)) % 0.39/0.58 (step @p51 :rule refl :args (@t10)) % 0.39/0.58 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.39/0.58 (step @p53 :rule refl :args (@t8)) % 0.39/0.58 (step @p54 :rule cong :premises (@p53 @p43) :args ((= @t8 @t49))) % 0.39/0.58 (step @p55 :rule symm :premises (@p54)) % 0.39/0.58 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.39/0.58 (step @p57 :rule ho_cong :premises (@p47 @p56)) % 0.39/0.58 (step @p58 :rule trans :premises (@p57 @p52)) % 0.39/0.58 (step @p59 :rule cong :premises (@p58) :args (@t66)) % 0.39/0.58 (step @p60 :rule nary_cong :premises (@p59 @p41 @p27) :args (@t67)) % 0.39/0.58 (step @p61 :rule cong :premises (@p60) :args ((forall @t11 @t67))) % 0.39/0.58 (step @p62 :rule aci_norm :args ((= (or @t66 (or @t64 @t4)) @t67))) % 0.39/0.58 (step @p63 :rule bool-impl-elim :args (@t6 @t4)) % 0.39/0.58 (step @p64 :rule refl :args (@t66)) % 0.39/0.58 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t66 @t7))) % 0.39/0.58 (step @p66 :rule trans :premises (@p65 @p62)) % 0.39/0.58 (step @p67 :rule bool-impl-elim :args (@t10 @t7)) % 0.39/0.58 (step @p68 :rule trans :premises (@p67 @p66)) % 0.39/0.58 (step @p69 :rule cong :premises (@p68) :args (@t12)) % 0.39/0.58 (step @p70 :rule trans :premises (@p69 @p61)) % 0.39/0.58 (step @p71 :rule refl :args (tptp.powersetE)) % 0.39/0.58 (step @p72 :rule cong :premises (@p71 @p70) :args (@t13)) % 0.39/0.58 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 0.39/0.58 (step @p74 :rule cong :premises (@p73 @p40) :args (@t68)) % 0.39/0.58 (step @p75 :rule cong :premises (@p74) :args ((not @t68))) % 0.39/0.58 (step @p76 :rule aci_norm :args ((= @t70 @t53))) % 0.39/0.58 (step @p77 :rule cong :premises (@p76) :args (@t71)) % 0.39/0.58 (step @p78 :rule quant-merge-prenex :args ((= (forall @t37 @t73) @t71))) % 0.39/0.58 (step @p79 :rule alpha_equiv :args (@t74 (@list @t42) (@list @t21))) % 0.39/0.58 (step @p80 :rule refl :args (@t52)) % 0.39/0.58 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t75)) % 0.39/0.58 (step @p82 :rule quant-miniscope-or :args ((= @t73 @t75))) % 0.39/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.39/0.58 (step @p84 :rule symm :premises (@p83)) % 0.39/0.58 (step @p85 :rule cong :premises (@p84) :args ((forall @t37 (or @t52 @t81)))) % 0.39/0.58 (step @p86 :rule trans :premises (@p85 @p78)) % 0.39/0.58 (step @p87 :rule trans :premises (@p86 @p77)) % 0.39/0.58 (step @p88 :rule refl :args (@t81)) % 0.39/0.58 (step @p89 :rule refl :args ((tptp.in @t22 @t8))) % 0.39/0.58 (step @p90 :rule refl :args (@t22)) % 0.39/0.58 (step @p91 :rule cong :premises (@p90 @p43) :args (@t51)) % 0.39/0.58 (step @p92 :rule trans :premises (@p91 @p89)) % 0.39/0.58 (step @p93 :rule refl :args (@t34)) % 0.39/0.58 (step @p94 :rule ho_cong :premises (@p93 @p43)) % 0.39/0.58 (step @p95 :rule cong :premises (@p94 @p92) :args ((= (_ @t34 @t49) @t51))) % 0.39/0.58 (step @p96 :rule symm :premises (@p95)) % 0.39/0.58 (step @p97 :rule refl :args (@t35)) % 0.39/0.58 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.39/0.58 (step @p99 :rule ho_cong :premises (@p93 @p56)) % 0.39/0.58 (step @p100 :rule trans :premises (@p99 @p98)) % 0.39/0.58 (step @p101 :rule cong :premises (@p100) :args (@t82)) % 0.39/0.58 (step @p102 :rule nary_cong :premises (@p101 @p88) :args (@t83)) % 0.39/0.58 (step @p103 :rule cong :premises (@p102) :args ((forall @t37 @t83))) % 0.39/0.58 (step @p104 :rule trans :premises (@p103 @p87)) % 0.39/0.58 (step @p105 :rule bool-impl-elim :args (@t35 @t81)) % 0.39/0.58 (step @p106 :rule cong :premises (@p105) :args ((forall @t37 (=> @t35 @t81)))) % 0.39/0.58 (step @p107 :rule trans :premises (@p106 @p104)) % 0.39/0.58 (step @p108 :rule refl :args (@t76)) % 0.39/0.58 (step @p109 :rule refl :args (@t23)) % 0.39/0.58 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t23 @t76))) % 0.39/0.58 (step @p111 :rule symm :premises (@p110)) % 0.39/0.58 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 0.39/0.58 (step @p113 :rule refl :args (@t79)) % 0.39/0.58 (step @p114 :rule refl :args ((tptp.in @t21 @t8))) % 0.39/0.58 (step @p115 :rule refl :args (@t21)) % 0.39/0.58 (step @p116 :rule cong :premises (@p115 @p43) :args (@t80)) % 0.39/0.58 (step @p117 :rule trans :premises (@p116 @p114)) % 0.39/0.58 (step @p118 :rule refl :args (@t29)) % 0.39/0.58 (step @p119 :rule ho_cong :premises (@p118 @p43)) % 0.39/0.58 (step @p120 :rule cong :premises (@p119 @p117) :args ((= (_ @t29 @t49) @t80))) % 0.39/0.58 (step @p121 :rule symm :premises (@p120)) % 0.39/0.58 (step @p122 :rule refl :args (@t30)) % 0.39/0.58 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.39/0.58 (step @p124 :rule ho_cong :premises (@p118 @p56)) % 0.39/0.58 (step @p125 :rule trans :premises (@p124 @p123)) % 0.39/0.58 (step @p126 :rule cong :premises (@p125) :args (@t84)) % 0.39/0.58 (step @p127 :rule nary_cong :premises (@p126 @p113 @p112) :args (@t85)) % 0.39/0.58 (step @p128 :rule cong :premises (@p127) :args ((forall @t32 @t85))) % 0.39/0.58 (step @p129 :rule aci_norm :args ((= (or @t84 (or @t79 @t23)) @t85))) % 0.39/0.58 (step @p130 :rule bool-impl-elim :args (@t78 @t23)) % 0.39/0.58 (step @p131 :rule refl :args (@t84)) % 0.39/0.58 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t84 @t86))) % 0.39/0.58 (step @p133 :rule trans :premises (@p132 @p129)) % 0.39/0.58 (step @p134 :rule bool-impl-elim :args (@t30 @t86)) % 0.39/0.58 (step @p135 :rule trans :premises (@p134 @p133)) % 0.39/0.58 (step @p136 :rule cong :premises (@p135) :args ((forall @t32 (=> @t30 @t86)))) % 0.39/0.58 (step @p137 :rule trans :premises (@p136 @p128)) % 0.39/0.58 (step @p138 :rule refl :args (@t23)) % 0.39/0.58 (step @p139 :rule refl :args (@t77)) % 0.39/0.58 (step @p140 :rule refl :args (@t24)) % 0.39/0.58 (step @p141 :rule cong :premises (@p140 @p139) :args ((= @t24 @t77))) % 0.39/0.58 (step @p142 :rule symm :premises (@p141)) % 0.39/0.58 (step @p143 :rule eq_resolve :premises (@p140 @p142)) % 0.39/0.58 (step @p144 :rule refl :args (@t44)) % 0.39/0.58 (step @p145 :rule refl :args (@t25)) % 0.39/0.58 (step @p146 :rule cong :premises (@p145 @p144) :args ((= @t25 @t44))) % 0.39/0.58 (step @p147 :rule symm :premises (@p146)) % 0.39/0.58 (step @p148 :rule eq_resolve :premises (@p145 @p147)) % 0.39/0.58 (step @p149 :rule cong :premises (@p148) :args (@t87)) % 0.39/0.58 (step @p150 :rule nary_cong :premises (@p28 @p149 @p143) :args (@t88)) % 0.39/0.58 (step @p151 :rule cong :premises (@p150) :args ((forall @t15 @t88))) % 0.39/0.58 (step @p152 :rule aci_norm :args ((= (or @t61 (or @t87 @t24)) @t88))) % 0.39/0.58 (step @p153 :rule bool-impl-elim :args (@t25 @t24)) % 0.39/0.58 (step @p154 :rule refl :args (@t61)) % 0.39/0.58 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t61 @t26))) % 0.39/0.58 (step @p156 :rule trans :premises (@p155 @p152)) % 0.39/0.58 (step @p157 :rule bool-impl-elim :args (@t4 @t26)) % 0.39/0.58 (step @p158 :rule trans :premises (@p157 @p156)) % 0.39/0.58 (step @p159 :rule cong :premises (@p158) :args (@t27)) % 0.39/0.58 (step @p160 :rule trans :premises (@p159 @p151)) % 0.39/0.58 (step @p161 :rule cong :premises (@p160 @p138) :args (@t28)) % 0.39/0.58 (step @p162 :rule refl :args (@t30)) % 0.39/0.58 (step @p163 :rule cong :premises (@p162 @p161) :args (@t31)) % 0.39/0.58 (step @p164 :rule cong :premises (@p163) :args (@t33)) % 0.39/0.58 (step @p165 :rule trans :premises (@p164 @p137)) % 0.39/0.58 (step @p166 :rule refl :args (@t35)) % 0.39/0.58 (step @p167 :rule cong :premises (@p166 @p165) :args (@t36)) % 0.39/0.58 (step @p168 :rule cong :premises (@p167) :args (@t38)) % 0.39/0.58 (step @p169 :rule trans :premises (@p168 @p107)) % 0.39/0.58 (step @p170 :rule cong :premises (@p37 @p169) :args (@t39)) % 0.39/0.58 (step @p171 :rule cong :premises (@p71 @p170) :args (@t40)) % 0.39/0.58 (step @p172 :rule cong :premises (@p171) :args (@t41)) % 0.39/0.58 (step @p173 :rule trans :premises (@p172 @p75)) % 0.39/0.58 (step @p174 :rule eq_resolve :premises (@p3 @p173)) % 0.39/0.58 (step @p175 :rule not_implies_elim2 :premises (@p174)) % 0.39/0.58 (step @p176 :rule not_implies_elim1 :premises (@p175)) % 0.39/0.58 (step @p177 :rule instantiate :premises (@p176) :args ((@list @t90 @t89))) % 0.39/0.58 (step @p178 :rule not_implies_elim2 :premises (@p175)) % 0.39/0.58 (step @p179 :rule skolemize :premises (@p178)) % 0.39/0.58 (step @p180 :rule cnf_or_neg :args (@t100 3)) % 0.39/0.58 (step @p181 :rule chain_m_resolution :premises (@p180 @p179) :args ((not @t91) @t101 @t102)) % 0.39/0.58 (step @p182 :rule cnf_or_pos :args (@t105)) % 0.39/0.58 (step @p183 :rule reordering :premises (@p182) :args ((or @t91 @t104 (not @t105)))) % 0.39/0.58 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p177) :args (@t104 (@list true false) (@list @t91 @t105))) % 0.39/0.58 (step @p185 :rule skolemize :premises (@p184)) % 0.39/0.58 (step @p186 :rule bool-double-not-elim :args (@t107)) % 0.39/0.58 (step @p187 :rule refl :args (@t110)) % 0.39/0.58 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or @t110 (not @t109)))) % 0.39/0.58 (step @p189 :rule cnf_or_neg :args (@t110 0)) % 0.39/0.58 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.39/0.58 (step @p191 :rule reordering :premises (@p190) :args ((or @t107 @t110))) % 0.39/0.58 (step @p192 :rule chain_m_resolution :premises (@p191 @p185) :args (@t107 @t101 @t111)) % 0.39/0.58 (step @p193 :rule cnf_or_neg :args (@t110 1)) % 0.39/0.58 (step @p194 :rule chain_m_resolution :premises (@p193 @p185) :args ((not @t108) @t101 @t111)) % 0.39/0.58 (step @p195 :rule bool-double-not-elim :args (@t95)) % 0.39/0.58 (step @p196 :rule refl :args (@t100)) % 0.39/0.58 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t100 (not @t96)))) % 0.39/0.58 (step @p198 :rule cnf_or_neg :args (@t100 2)) % 0.39/0.58 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.39/0.58 (step @p200 :rule reordering :premises (@p199) :args ((or @t95 @t100))) % 0.39/0.58 (step @p201 :rule chain_m_resolution :premises (@p200 @p179) :args (@t95 @t101 @t102)) % 0.39/0.58 (step @p202 :rule instantiate :premises (@p201) :args ((@list @t106))) % 0.39/0.58 (step @p203 :rule not_implies_elim1 :premises (@p174)) % 0.39/0.59 (step @p204 :rule instantiate :premises (@p203) :args ((@list @t94 @t90 @t106))) % 0.39/0.59 (step @p205 :rule bool-double-not-elim :args (@t98)) % 0.39/0.59 (step @p206 :rule nary_cong :premises (@p196 @p205) :args ((or @t100 (not @t99)))) % 0.39/0.59 (step @p207 :rule cnf_or_neg :args (@t100 0)) % 0.39/0.59 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 0.39/0.59 (step @p209 :rule reordering :premises (@p208) :args ((or @t98 @t100))) % 0.39/0.59 (step @p210 :rule chain_m_resolution :premises (@p209 @p179) :args (@t98 @t101 @t102)) % 0.39/0.59 (step @p211 :rule cnf_or_pos :args (@t113)) % 0.39/0.59 (step @p212 :rule reordering :premises (@p211) :args ((or @t99 @t109 @t112 (not @t113)))) % 0.39/0.59 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p192 @p204) :args (@t112 (@list false false false) (@list @t98 @t107 @t113))) % 0.39/0.59 (step @p214 :rule cnf_or_pos :args (@t115)) % 0.39/0.59 (step @p215 :rule reordering :premises (@p214) :args ((or @t109 @t108 @t114 (not @t115)))) % 0.39/0.59 (step @p216 false :rule chain_m_resolution :premises (@p215 @p213 @p202 @p194 @p192) :args (false (@list false false true false) (@list @t112 @t115 @t108 @t107))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------