%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU579^2 : 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 : n020.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 08:52:16 AM UTC 2026 % Result : Theorem 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU579^2 : 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 % 0.19/0.35 % Computer : n020.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:42:41 EDT 2026 % 0.19/0.35 % CPUTime : % 0.34/0.51 %----Proving TH0 % 0.41/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.59 % SZS status Theorem % 0.41/0.59 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (declare-sort $$unsorted 0) % 0.41/0.59 (declare-const tptp.subsetI2 Bool) % 0.41/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.subsetE Bool) % 0.41/0.59 (declare-const tptp.powersetI Bool) % 0.41/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.powersetE Bool) % 0.41/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.41/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.41/0.59 (define @t2 () (_ tptp.powerset @t1)) % 0.41/0.59 (define @t3 () (@var "B" $$unsorted)) % 0.41/0.59 (define @t4 () (_ tptp.in @t3)) % 0.41/0.59 (define @t5 () (_ @t4 @t2)) % 0.41/0.59 (define @t6 () (@var "Xx" $$unsorted)) % 0.41/0.59 (define @t7 () (_ tptp.in @t6)) % 0.41/0.59 (define @t8 () (_ @t7 @t1)) % 0.41/0.59 (define @t9 () (_ @t7 @t3)) % 0.41/0.59 (define @t10 () (=> @t9 @t8)) % 0.41/0.59 (define @t11 () (@list @t6)) % 0.41/0.59 (define @t12 () (forall @t11 @t10)) % 0.41/0.59 (define @t13 () (=> @t12 @t5)) % 0.41/0.59 (define @t14 () (@list @t1 @t3)) % 0.41/0.59 (define @t15 () (forall @t14 @t13)) % 0.41/0.59 (define @t16 () (= tptp.powersetI @t15)) % 0.41/0.59 (define @t17 () (@list @t1 @t3 @t6)) % 0.41/0.59 (define @t18 () (forall @t17 (=> @t5 @t10))) % 0.41/0.59 (define @t19 () (= tptp.powersetE @t18)) % 0.41/0.59 (define @t20 () (_ (_ tptp.subset @t1) @t3)) % 0.41/0.59 (define @t21 () (=> @t8 @t9)) % 0.41/0.59 (define @t22 () (forall @t11 @t21)) % 0.41/0.59 (define @t23 () (=> @t22 @t20)) % 0.41/0.59 (define @t24 () (forall @t14 @t23)) % 0.41/0.59 (define @t25 () (= tptp.subsetI2 @t24)) % 0.41/0.59 (define @t26 () (forall @t17 (=> @t20 @t21))) % 0.41/0.59 (define @t27 () (= tptp.subsetE @t26)) % 0.41/0.59 (define @t28 () (_ tptp.powerset @t3)) % 0.41/0.59 (define @t29 () (_ (_ tptp.subset @t2) @t28)) % 0.41/0.59 (define @t30 () (forall @t14 (=> @t20 @t29))) % 0.41/0.59 (define @t31 () (=> tptp.subsetE @t30)) % 0.41/0.59 (define @t32 () (=> tptp.subsetI2 @t31)) % 0.41/0.59 (define @t33 () (=> tptp.powersetE @t32)) % 0.41/0.59 (define @t34 () (=> tptp.powersetI @t33)) % 0.41/0.59 (define @t35 () (not @t34)) % 0.41/0.59 (define @t36 () (tptp.powerset @t3)) % 0.41/0.59 (define @t37 () (tptp.powerset @t1)) % 0.41/0.59 (define @t38 () (tptp.subset @t37 @t36)) % 0.41/0.59 (define @t39 () (tptp.subset @t1 @t3)) % 0.41/0.59 (define @t40 () (not @t39)) % 0.41/0.59 (define @t41 () (forall @t14 (or @t40 @t38))) % 0.41/0.59 (define @t42 () (tptp.in @t6 @t3)) % 0.41/0.59 (define @t43 () (tptp.in @t6 @t1)) % 0.41/0.59 (define @t44 () (not @t8)) % 0.41/0.59 (define @t45 () (not @t20)) % 0.41/0.59 (define @t46 () (or @t45 @t44 @t9)) % 0.41/0.59 (define @t47 () (or @t44 @t9)) % 0.41/0.59 (define @t48 () (=> tptp.subsetE @t41)) % 0.41/0.59 (define @t49 () (not @t43)) % 0.41/0.59 (define @t50 () (forall @t11 (or @t49 @t42))) % 0.41/0.59 (define @t51 () (not @t50)) % 0.41/0.59 (define @t52 () (or @t51 @t20)) % 0.41/0.59 (define @t53 () (=> tptp.subsetI2 @t48)) % 0.41/0.59 (define @t54 () (not @t9)) % 0.41/0.59 (define @t55 () (tptp.in @t3 @t37)) % 0.41/0.59 (define @t56 () (not @t5)) % 0.41/0.59 (define @t57 () (or @t56 @t54 @t8)) % 0.41/0.59 (define @t58 () (or @t54 @t8)) % 0.41/0.59 (define @t59 () (=> tptp.powersetE @t53)) % 0.41/0.59 (define @t60 () (forall @t11 (or (not @t42) @t43))) % 0.41/0.59 (define @t61 () (not @t60)) % 0.41/0.59 (define @t62 () (or @t61 @t5)) % 0.41/0.59 (define @t63 () (=> tptp.powersetI @t59)) % 0.41/0.59 (define @t64 () (or @t45 @t29)) % 0.41/0.59 (define @t65 () (@quantifiers_skolemize @t41 1)) % 0.41/0.59 (define @t66 () (tptp.powerset @t65)) % 0.41/0.59 (define @t67 () (@quantifiers_skolemize @t41 0)) % 0.41/0.59 (define @t68 () (tptp.powerset @t67)) % 0.41/0.59 (define @t69 () (forall @t11 (or (not (tptp.in @t6 @t68)) (tptp.in @t6 @t66)))) % 0.41/0.59 (define @t70 () (@quantifiers_skolemize @t69 0)) % 0.41/0.59 (define @t71 () (forall @t11 (or (not (tptp.in @t6 @t70)) (tptp.in @t6 @t65)))) % 0.41/0.59 (define @t72 () (@quantifiers_skolemize @t71 0)) % 0.41/0.59 (define @t73 () (tptp.subset @t68 @t66)) % 0.41/0.59 (define @t74 () (tptp.subset @t67 @t65)) % 0.41/0.59 (define @t75 () (not @t74)) % 0.41/0.59 (define @t76 () (or @t75 @t73)) % 0.41/0.59 (define @t77 () (@list true)) % 0.41/0.59 (define @t78 () (@list @t76)) % 0.41/0.59 (define @t79 () (not @t69)) % 0.41/0.59 (define @t80 () (or @t79 @t73)) % 0.41/0.59 (define @t81 () (@list true false)) % 0.41/0.59 (define @t82 () (tptp.in @t70 @t66)) % 0.41/0.59 (define @t83 () (tptp.in @t70 @t68)) % 0.41/0.59 (define @t84 () (not @t83)) % 0.41/0.59 (define @t85 () (or @t84 @t82)) % 0.41/0.59 (define @t86 () (@list @t85)) % 0.41/0.59 (define @t87 () (not @t71)) % 0.41/0.59 (define @t88 () (or @t87 @t82)) % 0.41/0.59 (define @t89 () (tptp.in @t72 @t70)) % 0.41/0.59 (define @t90 () (tptp.in @t72 @t65)) % 0.41/0.59 (define @t91 () (not @t89)) % 0.41/0.59 (define @t92 () (or @t91 @t90)) % 0.41/0.59 (define @t93 () (@list @t92)) % 0.41/0.59 (define @t94 () (tptp.in @t72 @t67)) % 0.41/0.59 (define @t95 () (or @t84 @t91 @t94)) % 0.41/0.59 (define @t96 () (not @t94)) % 0.41/0.59 (define @t97 () (or @t75 @t96 @t90)) % 0.41/0.59 (define @t98 () (not @t97)) % 0.41/0.59 (define @t99 () (forall @t17 (or @t40 @t49 @t42))) % 0.41/0.59 (assume @p1 @t16) % 0.41/0.59 (assume @p2 @t19) % 0.41/0.59 (assume @p3 @t25) % 0.41/0.59 (assume @p4 @t27) % 0.41/0.59 (assume @p5 @t35) % 0.41/0.59 (assume @p6 true) % 0.41/0.59 (step @p7 :rule refl :args (@t41)) % 0.41/0.59 (step @p8 :rule refl :args (@t42)) % 0.41/0.59 (step @p9 :rule refl :args (@t9)) % 0.41/0.59 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t9 @t42))) % 0.41/0.59 (step @p11 :rule symm :premises (@p10)) % 0.41/0.59 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.41/0.59 (step @p13 :rule refl :args (@t43)) % 0.41/0.59 (step @p14 :rule refl :args (@t8)) % 0.41/0.59 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t8 @t43))) % 0.41/0.59 (step @p16 :rule symm :premises (@p15)) % 0.41/0.59 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.41/0.59 (step @p18 :rule cong :premises (@p17) :args (@t44)) % 0.41/0.59 (step @p19 :rule refl :args (@t39)) % 0.41/0.59 (step @p20 :rule refl :args (@t20)) % 0.41/0.59 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t20 @t39))) % 0.41/0.59 (step @p22 :rule symm :premises (@p21)) % 0.41/0.59 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.41/0.59 (step @p24 :rule cong :premises (@p23) :args (@t45)) % 0.41/0.59 (step @p25 :rule nary_cong :premises (@p24 @p18 @p12) :args (@t46)) % 0.41/0.59 (step @p26 :rule cong :premises (@p25) :args ((forall @t17 @t46))) % 0.41/0.59 (step @p27 :rule aci_norm :args ((= (or @t45 @t47) @t46))) % 0.41/0.59 (step @p28 :rule bool-impl-elim :args (@t8 @t9)) % 0.41/0.59 (step @p29 :rule refl :args (@t45)) % 0.41/0.59 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t45 @t21))) % 0.41/0.59 (step @p31 :rule trans :premises (@p30 @p27)) % 0.41/0.59 (step @p32 :rule bool-impl-elim :args (@t20 @t21)) % 0.41/0.59 (step @p33 :rule trans :premises (@p32 @p31)) % 0.41/0.59 (step @p34 :rule cong :premises (@p33) :args (@t26)) % 0.41/0.59 (step @p35 :rule trans :premises (@p34 @p26)) % 0.41/0.59 (step @p36 :rule refl :args (tptp.subsetE)) % 0.41/0.59 (step @p37 :rule cong :premises (@p36 @p35) :args (@t27)) % 0.41/0.59 (step @p38 :rule eq_resolve :premises (@p4 @p37)) % 0.41/0.59 (step @p39 :rule cong :premises (@p38 @p7) :args (@t48)) % 0.41/0.59 (step @p40 :rule refl :args (@t51)) % 0.41/0.59 (step @p41 :rule nary_cong :premises (@p40 @p23) :args (@t52)) % 0.41/0.59 (step @p42 :rule cong :premises (@p41) :args ((forall @t14 @t52))) % 0.41/0.59 (step @p43 :rule bool-impl-elim :args (@t50 @t20)) % 0.41/0.59 (step @p44 :rule cong :premises (@p43) :args ((forall @t14 (=> @t50 @t20)))) % 0.41/0.60 (step @p45 :rule trans :premises (@p44 @p42)) % 0.41/0.60 (step @p46 :rule refl :args (@t20)) % 0.41/0.60 (step @p47 :rule nary_cong :premises (@p18 @p12) :args (@t47)) % 0.41/0.60 (step @p48 :rule cong :premises (@p47) :args ((forall @t11 @t47))) % 0.41/0.60 (step @p49 :rule cong :premises (@p28) :args (@t22)) % 0.41/0.60 (step @p50 :rule trans :premises (@p49 @p48)) % 0.41/0.60 (step @p51 :rule cong :premises (@p50 @p46) :args (@t23)) % 0.41/0.60 (step @p52 :rule cong :premises (@p51) :args (@t24)) % 0.41/0.60 (step @p53 :rule trans :premises (@p52 @p45)) % 0.41/0.60 (step @p54 :rule refl :args (tptp.subsetI2)) % 0.41/0.60 (step @p55 :rule cong :premises (@p54 @p53) :args (@t25)) % 0.41/0.60 (step @p56 :rule eq_resolve :premises (@p3 @p55)) % 0.41/0.60 (step @p57 :rule cong :premises (@p56 @p39) :args (@t53)) % 0.41/0.60 (step @p58 :rule cong :premises (@p12) :args (@t54)) % 0.41/0.60 (step @p59 :rule refl :args ((tptp.in @t3 @t2))) % 0.41/0.60 (step @p60 :rule refl :args (@t37)) % 0.41/0.60 (step @p61 :rule refl :args (@t3)) % 0.41/0.60 (step @p62 :rule cong :premises (@p61 @p60) :args (@t55)) % 0.41/0.60 (step @p63 :rule trans :premises (@p62 @p59)) % 0.41/0.60 (step @p64 :rule refl :args (@t4)) % 0.41/0.60 (step @p65 :rule ho_cong :premises (@p64 @p60)) % 0.41/0.60 (step @p66 :rule cong :premises (@p65 @p63) :args ((= (_ @t4 @t37) @t55))) % 0.41/0.60 (step @p67 :rule symm :premises (@p66)) % 0.41/0.60 (step @p68 :rule refl :args (@t5)) % 0.41/0.60 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.41/0.60 (step @p70 :rule refl :args (@t2)) % 0.41/0.60 (step @p71 :rule cong :premises (@p70 @p60) :args ((= @t2 @t37))) % 0.41/0.60 (step @p72 :rule symm :premises (@p71)) % 0.41/0.60 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.41/0.60 (step @p74 :rule ho_cong :premises (@p64 @p73)) % 0.41/0.60 (step @p75 :rule trans :premises (@p74 @p69)) % 0.41/0.60 (step @p76 :rule cong :premises (@p75) :args (@t56)) % 0.41/0.60 (step @p77 :rule nary_cong :premises (@p76 @p58 @p17) :args (@t57)) % 0.41/0.60 (step @p78 :rule cong :premises (@p77) :args ((forall @t17 @t57))) % 0.41/0.60 (step @p79 :rule aci_norm :args ((= (or @t56 @t58) @t57))) % 0.41/0.60 (step @p80 :rule bool-impl-elim :args (@t9 @t8)) % 0.41/0.60 (step @p81 :rule refl :args (@t56)) % 0.41/0.60 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t56 @t10))) % 0.41/0.60 (step @p83 :rule trans :premises (@p82 @p79)) % 0.41/0.60 (step @p84 :rule bool-impl-elim :args (@t5 @t10)) % 0.41/0.60 (step @p85 :rule trans :premises (@p84 @p83)) % 0.41/0.60 (step @p86 :rule cong :premises (@p85) :args (@t18)) % 0.41/0.60 (step @p87 :rule trans :premises (@p86 @p78)) % 0.41/0.60 (step @p88 :rule refl :args (tptp.powersetE)) % 0.41/0.60 (step @p89 :rule cong :premises (@p88 @p87) :args (@t19)) % 0.41/0.60 (step @p90 :rule eq_resolve :premises (@p2 @p89)) % 0.41/0.60 (step @p91 :rule cong :premises (@p90 @p57) :args (@t59)) % 0.41/0.60 (step @p92 :rule refl :args (@t61)) % 0.41/0.60 (step @p93 :rule nary_cong :premises (@p92 @p75) :args (@t62)) % 0.41/0.60 (step @p94 :rule cong :premises (@p93) :args ((forall @t14 @t62))) % 0.41/0.60 (step @p95 :rule bool-impl-elim :args (@t60 @t5)) % 0.41/0.60 (step @p96 :rule cong :premises (@p95) :args ((forall @t14 (=> @t60 @t5)))) % 0.41/0.60 (step @p97 :rule trans :premises (@p96 @p94)) % 0.41/0.60 (step @p98 :rule refl :args (@t5)) % 0.41/0.60 (step @p99 :rule nary_cong :premises (@p58 @p17) :args (@t58)) % 0.41/0.60 (step @p100 :rule cong :premises (@p99) :args ((forall @t11 @t58))) % 0.41/0.60 (step @p101 :rule cong :premises (@p80) :args (@t12)) % 0.41/0.60 (step @p102 :rule trans :premises (@p101 @p100)) % 0.41/0.60 (step @p103 :rule cong :premises (@p102 @p98) :args (@t13)) % 0.41/0.60 (step @p104 :rule cong :premises (@p103) :args (@t15)) % 0.41/0.60 (step @p105 :rule trans :premises (@p104 @p97)) % 0.41/0.60 (step @p106 :rule refl :args (tptp.powersetI)) % 0.41/0.60 (step @p107 :rule cong :premises (@p106 @p105) :args (@t16)) % 0.41/0.60 (step @p108 :rule eq_resolve :premises (@p1 @p107)) % 0.41/0.60 (step @p109 :rule cong :premises (@p108 @p91) :args (@t63)) % 0.41/0.60 (step @p110 :rule cong :premises (@p109) :args ((not @t63))) % 0.41/0.60 (step @p111 :rule refl :args ((tptp.subset @t2 @t28))) % 0.41/0.60 (step @p112 :rule refl :args (@t36)) % 0.41/0.60 (step @p113 :rule cong :premises (@p60 @p112) :args (@t38)) % 0.41/0.60 (step @p114 :rule trans :premises (@p113 @p111)) % 0.41/0.60 (step @p115 :rule refl :args (tptp.subset)) % 0.41/0.60 (step @p116 :rule ho_cong :premises (@p115 @p60)) % 0.41/0.60 (step @p117 :rule ho_cong :premises (@p116 @p112)) % 0.41/0.60 (step @p118 :rule cong :premises (@p117 @p114) :args ((= (_ (_ tptp.subset @t37) @t36) @t38))) % 0.41/0.60 (step @p119 :rule symm :premises (@p118)) % 0.41/0.60 (step @p120 :rule refl :args (@t29)) % 0.41/0.60 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.41/0.60 (step @p122 :rule refl :args (@t28)) % 0.41/0.60 (step @p123 :rule cong :premises (@p122 @p112) :args ((= @t28 @t36))) % 0.41/0.60 (step @p124 :rule symm :premises (@p123)) % 0.41/0.60 (step @p125 :rule eq_resolve :premises (@p122 @p124)) % 0.41/0.60 (step @p126 :rule ho_cong :premises (@p115 @p73)) % 0.41/0.60 (step @p127 :rule ho_cong :premises (@p126 @p125)) % 0.41/0.60 (step @p128 :rule trans :premises (@p127 @p121)) % 0.41/0.60 (step @p129 :rule nary_cong :premises (@p24 @p128) :args (@t64)) % 0.41/0.60 (step @p130 :rule cong :premises (@p129) :args ((forall @t14 @t64))) % 0.41/0.60 (step @p131 :rule bool-impl-elim :args (@t20 @t29)) % 0.41/0.60 (step @p132 :rule cong :premises (@p131) :args (@t30)) % 0.41/0.60 (step @p133 :rule trans :premises (@p132 @p130)) % 0.41/0.60 (step @p134 :rule cong :premises (@p36 @p133) :args (@t31)) % 0.41/0.60 (step @p135 :rule cong :premises (@p54 @p134) :args (@t32)) % 0.41/0.60 (step @p136 :rule cong :premises (@p88 @p135) :args (@t33)) % 0.41/0.60 (step @p137 :rule cong :premises (@p106 @p136) :args (@t34)) % 0.41/0.60 (step @p138 :rule cong :premises (@p137) :args (@t35)) % 0.41/0.60 (step @p139 :rule trans :premises (@p138 @p110)) % 0.41/0.60 (step @p140 :rule eq_resolve :premises (@p5 @p139)) % 0.41/0.60 (step @p141 :rule not_implies_elim2 :premises (@p140)) % 0.41/0.60 (step @p142 :rule not_implies_elim2 :premises (@p141)) % 0.41/0.60 (step @p143 :rule not_implies_elim2 :premises (@p142)) % 0.41/0.60 (step @p144 :rule not_implies_elim1 :premises (@p143)) % 0.41/0.60 (step @p145 :rule not_implies_elim1 :premises (@p141)) % 0.41/0.60 (step @p146 :rule instantiate :premises (@p145) :args ((@list @t67 @t70 @t72))) % 0.41/0.60 (step @p147 :rule not_implies_elim1 :premises (@p140)) % 0.41/0.60 (step @p148 :rule instantiate :premises (@p147) :args ((@list @t65 @t70))) % 0.41/0.60 (step @p149 :rule not_implies_elim1 :premises (@p142)) % 0.41/0.60 (step @p150 :rule instantiate :premises (@p149) :args ((@list @t68 @t66))) % 0.41/0.60 (step @p151 :rule not_implies_elim2 :premises (@p143)) % 0.41/0.60 (step @p152 :rule skolemize :premises (@p151)) % 0.41/0.60 (step @p153 :rule cnf_or_neg :args (@t76 1)) % 0.41/0.60 (step @p154 :rule chain_m_resolution :premises (@p153 @p152) :args ((not @t73) @t77 @t78)) % 0.41/0.60 (step @p155 :rule cnf_or_pos :args (@t80)) % 0.41/0.60 (step @p156 :rule reordering :premises (@p155) :args ((or @t73 @t79 (not @t80)))) % 0.41/0.60 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p150) :args (@t79 @t81 (@list @t73 @t80))) % 0.41/0.60 (step @p158 :rule skolemize :premises (@p157)) % 0.41/0.60 (step @p159 :rule cnf_or_neg :args (@t85 1)) % 0.41/0.60 (step @p160 :rule chain_m_resolution :premises (@p159 @p158) :args ((not @t82) @t77 @t86)) % 0.41/0.60 (step @p161 :rule cnf_or_pos :args (@t88)) % 0.41/0.60 (step @p162 :rule reordering :premises (@p161) :args ((or @t82 @t87 (not @t88)))) % 0.41/0.60 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p148) :args (@t87 @t81 (@list @t82 @t88))) % 0.41/0.60 (step @p164 :rule skolemize :premises (@p163)) % 0.41/0.60 (step @p165 :rule bool-double-not-elim :args (@t89)) % 0.41/0.60 (step @p166 :rule refl :args (@t92)) % 0.41/0.60 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t92 (not @t91)))) % 0.41/0.60 (step @p168 :rule cnf_or_neg :args (@t92 0)) % 0.41/0.60 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.41/0.60 (step @p170 :rule reordering :premises (@p169) :args ((or @t89 @t92))) % 0.41/0.60 (step @p171 :rule chain_m_resolution :premises (@p170 @p164) :args (@t89 @t77 @t93)) % 0.41/0.60 (step @p172 :rule bool-double-not-elim :args (@t83)) % 0.41/0.60 (step @p173 :rule refl :args (@t85)) % 0.41/0.60 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t85 (not @t84)))) % 0.41/0.60 (step @p175 :rule cnf_or_neg :args (@t85 0)) % 0.41/0.60 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.41/0.60 (step @p177 :rule reordering :premises (@p176) :args ((or @t83 @t85))) % 0.41/0.60 (step @p178 :rule chain_m_resolution :premises (@p177 @p158) :args (@t83 @t77 @t86)) % 0.41/0.60 (step @p179 :rule cnf_or_pos :args (@t95)) % 0.41/0.60 (step @p180 :rule reordering :premises (@p179) :args ((or @t84 @t91 @t94 (not @t95)))) % 0.41/0.60 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p171 @p146) :args (@t94 (@list false false false) (@list @t83 @t89 @t95))) % 0.41/0.60 (step @p182 :rule cnf_or_neg :args (@t92 1)) % 0.41/0.60 (step @p183 :rule chain_m_resolution :premises (@p182 @p164) :args ((not @t90) @t77 @t93)) % 0.41/0.60 (step @p184 :rule bool-double-not-elim :args (@t74)) % 0.41/0.60 (step @p185 :rule refl :args (@t76)) % 0.41/0.60 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t76 (not @t75)))) % 0.41/0.60 (step @p187 :rule cnf_or_neg :args (@t76 0)) % 0.41/0.60 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.41/0.60 (step @p189 :rule reordering :premises (@p188) :args ((or @t74 @t76))) % 0.41/0.60 (step @p190 :rule chain_m_resolution :premises (@p189 @p152) :args (@t74 @t77 @t78)) % 0.41/0.60 (step @p191 :rule cnf_or_pos :args (@t97)) % 0.41/0.60 (step @p192 :rule reordering :premises (@p191) :args ((or @t75 @t90 @t96 @t98))) % 0.41/0.60 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p183 @p181) :args (@t98 (@list false true false) (@list @t74 @t90 @t94))) % 0.41/0.60 (assume-push @p200 @t99) % 0.41/0.60 (step @p195 :rule instantiate :premises (@p144) :args ((@list @t67 @t65 @t72))) % 0.41/0.60 (step-pop @p201 :rule scope :premises (@p195)) % 0.41/0.60 (step @p196 :rule process_scope :premises (@p201) :args (@t97)) % 0.41/0.60 (step @p198 :rule implies_elim :premises (@p196)) % 0.41/0.60 (step @p199 false :rule chain_m_resolution :premises (@p198 @p193 @p144) :args (false @t81 (@list @t97 @t99))) % 0.41/0.60 ) % 0.41/0.60 % SZS output end Proof % 0.41/0.60 % cvc5 exiting %------------------------------------------------------------------------------