%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU510^2 : 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 : n013.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 08:52:00 AM UTC 2026 % Result : Theorem 0.46s 0.68s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU510^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n013.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:39:45 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.46/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/0.68 % SZS status Theorem % 0.46/0.68 % SZS output start Proof % 0.46/0.68 ( % 0.46/0.68 (declare-sort $$unsorted 0) % 0.46/0.68 (declare-const tptp.emptyset $$unsorted) % 0.46/0.68 (declare-const tptp.emptysetE Bool) % 0.46/0.68 (declare-const tptp.dsetconstrI Bool) % 0.46/0.68 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.46/0.68 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.46/0.68 (define @t1 () (@var "Xy" $$unsorted)) % 0.46/0.68 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.46/0.68 (define @t3 () (_ @t2 @t1)) % 0.46/0.68 (define @t4 () (@list @t1)) % 0.46/0.68 (define @t5 () (lambda @t4 @t3)) % 0.46/0.68 (define @t6 () (@var "A" $$unsorted)) % 0.46/0.68 (define @t7 () (_ tptp.dsetconstr @t6)) % 0.46/0.68 (define @t8 () (_ @t7 @t5)) % 0.46/0.68 (define @t9 () (@var "Xx" $$unsorted)) % 0.46/0.68 (define @t10 () (_ tptp.in @t9)) % 0.46/0.68 (define @t11 () (_ @t10 @t8)) % 0.46/0.68 (define @t12 () (_ @t2 @t9)) % 0.46/0.68 (define @t13 () (=> @t12 @t11)) % 0.46/0.68 (define @t14 () (_ @t10 @t6)) % 0.46/0.68 (define @t15 () (@list @t6 @t2 @t9)) % 0.46/0.68 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.46/0.68 (define @t17 () (= tptp.dsetconstrI @t16)) % 0.46/0.68 (define @t18 () (@var "Xphi" Bool)) % 0.46/0.68 (define @t19 () (@list @t18)) % 0.46/0.68 (define @t20 () (forall @t19 @t18)) % 0.46/0.68 (define @t21 () (_ @t10 tptp.emptyset)) % 0.46/0.68 (define @t22 () (=> @t21 @t20)) % 0.46/0.68 (define @t23 () (@list @t9)) % 0.46/0.68 (define @t24 () (forall @t23 @t22)) % 0.46/0.68 (define @t25 () (= tptp.emptysetE @t24)) % 0.46/0.68 (define @t26 () (=> @t12 (_ tptp.nonempty @t8))) % 0.46/0.68 (define @t27 () (=> @t14 @t26)) % 0.46/0.68 (define @t28 () (forall @t15 @t27)) % 0.46/0.68 (define @t29 () (=> tptp.emptysetE @t28)) % 0.46/0.68 (define @t30 () (=> tptp.dsetconstrI @t29)) % 0.46/0.68 (define @t31 () (not @t30)) % 0.46/0.68 (define @t32 () (not (= @t9 tptp.emptyset))) % 0.46/0.68 (define @t33 () (lambda @t23 @t32)) % 0.46/0.68 (define @t34 () (tptp.dsetconstr @t6 @t2)) % 0.46/0.68 (define @t35 () (_ @t2 @t9)) % 0.46/0.68 (define @t36 () (not @t35)) % 0.46/0.68 (define @t37 () (tptp.in @t9 @t6)) % 0.46/0.68 (define @t38 () (not @t37)) % 0.46/0.68 (define @t39 () (forall @t15 (or @t38 @t36 (not (= tptp.emptyset @t34))))) % 0.46/0.68 (define @t40 () (tptp.in @t9 tptp.emptyset)) % 0.46/0.68 (define @t41 () (not @t21)) % 0.46/0.68 (define @t42 () (or @t18 @t18)) % 0.46/0.68 (define @t43 () (=> tptp.emptysetE @t39)) % 0.46/0.68 (define @t44 () (_ @t2 @t1)) % 0.46/0.68 (define @t45 () (lambda @t4 @t44)) % 0.46/0.68 (define @t46 () (tptp.dsetconstr @t6 @t45)) % 0.46/0.68 (define @t47 () (tptp.in @t9 @t46)) % 0.46/0.68 (define @t48 () (or @t38 @t36 @t47)) % 0.46/0.68 (define @t49 () (not @t12)) % 0.46/0.68 (define @t50 () (not @t14)) % 0.46/0.68 (define @t51 () (or @t50 @t49 @t11)) % 0.46/0.68 (define @t52 () (=> tptp.dsetconstrI @t43)) % 0.46/0.68 (define @t53 () (= tptp.emptyset @t46)) % 0.46/0.68 (define @t54 () (not @t53)) % 0.46/0.68 (define @t55 () (or @t38 @t36 @t54)) % 0.46/0.68 (define @t56 () (= tptp.emptyset @t8)) % 0.46/0.68 (define @t57 () (not @t56)) % 0.46/0.68 (define @t58 () (or @t50 @t49 @t57)) % 0.46/0.68 (define @t59 () (=> @t12 @t57)) % 0.46/0.68 (define @t60 () (_ (lambda @t23 (not (= tptp.emptyset @t9))) @t8)) % 0.46/0.68 (define @t61 () (=> @t12 @t60)) % 0.46/0.68 (define @t62 () (=> @t14 @t61)) % 0.46/0.68 (define @t63 () (forall @t15 @t62)) % 0.46/0.68 (define @t64 () (=> tptp.emptysetE @t63)) % 0.46/0.68 (define @t65 () (=> tptp.dsetconstrI @t64)) % 0.46/0.68 (define @t66 () (@quantifiers_skolemize @t39 1)) % 0.46/0.68 (define @t67 () (@var "BOUND_VARIABLE_14975" $$unsorted)) % 0.46/0.68 (define @t68 () (lambda (@list @t67) (_ @t66 @t67))) % 0.46/0.68 (define @t69 () (@quantifiers_skolemize @t39 0)) % 0.46/0.68 (define @t70 () (tptp.dsetconstr @t69 @t68)) % 0.46/0.68 (define @t71 () (@quantifiers_skolemize @t39 2)) % 0.46/0.68 (define @t72 () (tptp.in @t71 @t70)) % 0.46/0.68 (define @t73 () (_ @t66 @t71)) % 0.46/0.68 (define @t74 () (_ @t68 @t71)) % 0.46/0.68 (define @t75 () (not @t74)) % 0.46/0.68 (define @t76 () (tptp.in @t71 @t69)) % 0.46/0.68 (define @t77 () (not @t76)) % 0.46/0.68 (define @t78 () (or @t77 @t75 @t72)) % 0.46/0.68 (define @t79 () (forall @t15 (or @t38 @t36 (tptp.in @t9 @t34)))) % 0.46/0.68 (define @t80 () (tptp.dsetconstr @t69 @t66)) % 0.46/0.68 (define @t81 () (tptp.in @t71 @t80)) % 0.46/0.68 (define @t82 () (not @t73)) % 0.46/0.68 (define @t83 () (or @t77 @t82 @t81)) % 0.46/0.68 (define @t84 () (= tptp.emptyset @t80)) % 0.46/0.68 (define @t85 () (not @t84)) % 0.46/0.68 (define @t86 () (or @t77 @t82 @t85)) % 0.46/0.68 (define @t87 () (@list true)) % 0.46/0.68 (define @t88 () (@list @t86)) % 0.46/0.68 (define @t89 () (tptp.in @t71 tptp.emptyset)) % 0.46/0.68 (define @t90 () (forall @t23 (not @t40))) % 0.46/0.68 (assume @p1 @t17) % 0.46/0.68 (assume @p2 @t25) % 0.46/0.68 (assume @p3 @t31) % 0.46/0.68 (assume @p4 true) % 0.46/0.68 (step @p5 (= tptp.nonempty @t33) :rule refl :args (@t33)) % 0.46/0.68 (step @p6 :rule refl :args (@t39)) % 0.46/0.68 (step @p7 :rule refl :args (@t40)) % 0.46/0.68 (step @p8 :rule refl :args (@t21)) % 0.46/0.68 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t21 @t40))) % 0.46/0.68 (step @p10 :rule symm :premises (@p9)) % 0.46/0.68 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.46/0.68 (step @p12 :rule cong :premises (@p11) :args (@t41)) % 0.46/0.68 (step @p13 :rule cong :premises (@p12) :args ((forall @t23 @t41))) % 0.46/0.68 (step @p14 :rule bool-impl-false1 :args (@t21)) % 0.46/0.68 (step @p15 :rule quant-var-elim-eq :args ((= (forall @t19 (or (not (= @t18 false)) @t18)) false))) % 0.46/0.68 (step @p16 :rule refl :args (@t18)) % 0.46/0.68 (step @p17 :rule bool-eq-false :args (@t18)) % 0.46/0.68 (step @p18 :rule symm :premises (@p17)) % 0.46/0.68 (step @p19 :rule cong :premises (@p18) :args ((not (not @t18)))) % 0.46/0.68 (step @p20 :rule bool-double-not-elim :args (@t18)) % 0.46/0.68 (step @p21 :rule symm :premises (@p20)) % 0.46/0.68 (step @p22 :rule trans :premises (@p21 @p19)) % 0.46/0.68 (step @p23 :rule nary_cong :premises (@p22 @p16) :args (@t42)) % 0.46/0.68 (step @p24 :rule aci_norm :args ((= @t18 @t42))) % 0.46/0.68 (step @p25 :rule trans :premises (@p24 @p23)) % 0.46/0.68 (step @p26 :rule cong :premises (@p25) :args (@t20)) % 0.46/0.68 (step @p27 :rule trans :premises (@p26 @p15)) % 0.46/0.68 (step @p28 :rule refl :args (@t21)) % 0.46/0.68 (step @p29 :rule cong :premises (@p28 @p27) :args (@t22)) % 0.46/0.68 (step @p30 :rule trans :premises (@p29 @p14)) % 0.46/0.68 (step @p31 :rule cong :premises (@p30) :args (@t24)) % 0.46/0.68 (step @p32 :rule trans :premises (@p31 @p13)) % 0.46/0.68 (step @p33 :rule refl :args (tptp.emptysetE)) % 0.46/0.68 (step @p34 :rule cong :premises (@p33 @p32) :args (@t25)) % 0.46/0.68 (step @p35 :rule eq_resolve :premises (@p2 @p34)) % 0.46/0.68 (step @p36 :rule cong :premises (@p35 @p6) :args (@t43)) % 0.46/0.68 (step @p37 :rule lambda-elim :args ((= @t45 @t2))) % 0.46/0.68 (step @p38 :rule refl :args (@t6)) % 0.46/0.68 (step @p39 :rule cong :premises (@p38 @p37) :args (@t46)) % 0.46/0.68 (step @p40 :rule refl :args (@t9)) % 0.46/0.68 (step @p41 :rule cong :premises (@p40 @p39) :args (@t47)) % 0.46/0.68 (step @p42 :rule refl :args (@t36)) % 0.46/0.68 (step @p43 :rule refl :args (@t38)) % 0.46/0.68 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args (@t48)) % 0.46/0.68 (step @p45 :rule cong :premises (@p44) :args ((forall @t15 @t48))) % 0.46/0.68 (step @p46 :rule refl :args ((tptp.in @t9 @t8))) % 0.46/0.68 (step @p47 :rule refl :args ((tptp.dsetconstr @t6 @t5))) % 0.46/0.68 (step @p48 :rule refl :args (@t44)) % 0.46/0.68 (step @p49 :rule cong :premises (@p48) :args (@t45)) % 0.46/0.68 (step @p50 :rule refl :args (@t6)) % 0.46/0.68 (step @p51 :rule cong :premises (@p50 @p49) :args (@t46)) % 0.46/0.68 (step @p52 :rule trans :premises (@p51 @p47)) % 0.46/0.68 (step @p53 :rule refl :args (@t9)) % 0.46/0.68 (step @p54 :rule cong :premises (@p53 @p52) :args (@t47)) % 0.46/0.68 (step @p55 :rule trans :premises (@p54 @p46)) % 0.46/0.68 (step @p56 :rule refl :args (@t10)) % 0.46/0.68 (step @p57 :rule ho_cong :premises (@p56 @p52)) % 0.46/0.68 (step @p58 :rule cong :premises (@p57 @p55) :args ((= (_ @t10 @t46) @t47))) % 0.46/0.68 (step @p59 :rule symm :premises (@p58)) % 0.46/0.68 (step @p60 :rule refl :args (@t11)) % 0.46/0.68 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.46/0.68 (step @p62 :rule refl :args (@t7)) % 0.46/0.68 (step @p63 :rule ho_cong :premises (@p62 @p49)) % 0.46/0.68 (step @p64 :rule cong :premises (@p63 @p52) :args ((= (_ @t7 @t45) @t46))) % 0.46/0.68 (step @p65 :rule symm :premises (@p64)) % 0.46/0.68 (step @p66 :rule refl :args (@t8)) % 0.46/0.68 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.46/0.68 (step @p68 :rule refl :args (@t3)) % 0.46/0.68 (step @p69 :rule cong :premises (@p68 @p48) :args ((= @t3 @t44))) % 0.46/0.68 (step @p70 :rule symm :premises (@p69)) % 0.46/0.68 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.46/0.68 (step @p72 :rule cong :premises (@p71) :args (@t5)) % 0.46/0.68 (step @p73 :rule ho_cong :premises (@p62 @p72)) % 0.46/0.68 (step @p74 :rule trans :premises (@p73 @p67)) % 0.46/0.68 (step @p75 :rule ho_cong :premises (@p56 @p74)) % 0.46/0.68 (step @p76 :rule trans :premises (@p75 @p61)) % 0.46/0.68 (step @p77 :rule refl :args (@t35)) % 0.46/0.68 (step @p78 :rule refl :args (@t12)) % 0.46/0.68 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t12 @t35))) % 0.46/0.68 (step @p80 :rule symm :premises (@p79)) % 0.46/0.68 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.46/0.68 (step @p82 :rule cong :premises (@p81) :args (@t49)) % 0.46/0.68 (step @p83 :rule refl :args (@t37)) % 0.46/0.68 (step @p84 :rule refl :args (@t14)) % 0.46/0.68 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t14 @t37))) % 0.46/0.68 (step @p86 :rule symm :premises (@p85)) % 0.46/0.68 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.46/0.68 (step @p88 :rule cong :premises (@p87) :args (@t50)) % 0.46/0.68 (step @p89 :rule nary_cong :premises (@p88 @p82 @p76) :args (@t51)) % 0.46/0.68 (step @p90 :rule cong :premises (@p89) :args ((forall @t15 @t51))) % 0.46/0.68 (step @p91 :rule trans :premises (@p90 @p45)) % 0.46/0.68 (step @p92 :rule aci_norm :args ((= (or @t50 (or @t49 @t11)) @t51))) % 0.46/0.68 (step @p93 :rule bool-impl-elim :args (@t12 @t11)) % 0.46/0.68 (step @p94 :rule refl :args (@t50)) % 0.46/0.68 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t50 @t13))) % 0.46/0.68 (step @p96 :rule trans :premises (@p95 @p92)) % 0.46/0.68 (step @p97 :rule bool-impl-elim :args (@t14 @t13)) % 0.46/0.68 (step @p98 :rule trans :premises (@p97 @p96)) % 0.46/0.68 (step @p99 :rule cong :premises (@p98) :args (@t16)) % 0.46/0.68 (step @p100 :rule trans :premises (@p99 @p91)) % 0.46/0.68 (step @p101 :rule refl :args (tptp.dsetconstrI)) % 0.46/0.68 (step @p102 :rule cong :premises (@p101 @p100) :args (@t17)) % 0.46/0.68 (step @p103 :rule eq_resolve :premises (@p1 @p102)) % 0.46/0.68 (step @p104 :rule cong :premises (@p103 @p36) :args (@t52)) % 0.46/0.68 (step @p105 :rule cong :premises (@p104) :args ((not @t52))) % 0.46/0.68 (step @p106 :rule refl :args (tptp.emptyset)) % 0.46/0.68 (step @p107 :rule cong :premises (@p106 @p39) :args (@t53)) % 0.46/0.68 (step @p108 :rule cong :premises (@p107) :args (@t54)) % 0.46/0.68 (step @p109 :rule nary_cong :premises (@p43 @p42 @p108) :args (@t55)) % 0.46/0.68 (step @p110 :rule cong :premises (@p109) :args ((forall @t15 @t55))) % 0.46/0.68 (step @p111 :rule refl :args (tptp.emptyset)) % 0.46/0.68 (step @p112 :rule cong :premises (@p111 @p74) :args (@t56)) % 0.46/0.68 (step @p113 :rule cong :premises (@p112) :args (@t57)) % 0.46/0.68 (step @p114 :rule nary_cong :premises (@p88 @p82 @p113) :args (@t58)) % 0.46/0.68 (step @p115 :rule cong :premises (@p114) :args ((forall @t15 @t58))) % 0.46/0.68 (step @p116 :rule trans :premises (@p115 @p110)) % 0.46/0.68 (step @p117 :rule aci_norm :args ((= (or @t50 (or @t49 @t57)) @t58))) % 0.46/0.68 (step @p118 :rule bool-impl-elim :args (@t12 @t57)) % 0.46/0.68 (step @p119 :rule nary_cong :premises (@p94 @p118) :args ((or @t50 @t59))) % 0.46/0.68 (step @p120 :rule trans :premises (@p119 @p117)) % 0.46/0.68 (step @p121 :rule bool-impl-elim :args (@t14 @t59)) % 0.46/0.68 (step @p122 :rule trans :premises (@p121 @p120)) % 0.46/0.68 (step @p123 :rule cong :premises (@p122) :args ((forall @t15 (=> @t14 @t59)))) % 0.46/0.68 (step @p124 :rule trans :premises (@p123 @p116)) % 0.46/0.68 (step @p125 :rule beta-reduce :args ((= @t60 @t57))) % 0.46/0.68 (step @p126 :rule refl :args (@t12)) % 0.46/0.68 (step @p127 :rule cong :premises (@p126 @p125) :args (@t61)) % 0.46/0.68 (step @p128 :rule refl :args (@t14)) % 0.46/0.68 (step @p129 :rule cong :premises (@p128 @p127) :args (@t62)) % 0.46/0.68 (step @p130 :rule cong :premises (@p129) :args (@t63)) % 0.46/0.68 (step @p131 :rule trans :premises (@p130 @p124)) % 0.46/0.68 (step @p132 :rule cong :premises (@p33 @p131) :args (@t64)) % 0.46/0.68 (step @p133 :rule cong :premises (@p101 @p132) :args (@t65)) % 0.46/0.68 (step @p134 :rule cong :premises (@p133) :args ((not @t65))) % 0.46/0.68 (step @p135 :rule refl :args (@t8)) % 0.46/0.68 (step @p136 :rule eq-symm :args (@t9 tptp.emptyset)) % 0.46/0.68 (step @p137 :rule cong :premises (@p136) :args (@t32)) % 0.46/0.68 (step @p138 :rule cong :premises (@p137) :args (@t33)) % 0.46/0.68 (step @p139 :rule trans :premises (@p5 @p138)) % 0.46/0.68 (step @p140 :rule ho_cong :premises (@p139 @p135)) % 0.46/0.68 (step @p141 :rule cong :premises (@p126 @p140) :args (@t26)) % 0.46/0.68 (step @p142 :rule cong :premises (@p128 @p141) :args (@t27)) % 0.46/0.68 (step @p143 :rule cong :premises (@p142) :args (@t28)) % 0.46/0.68 (step @p144 :rule cong :premises (@p33 @p143) :args (@t29)) % 0.46/0.68 (step @p145 :rule cong :premises (@p101 @p144) :args (@t30)) % 0.46/0.68 (step @p146 :rule cong :premises (@p145) :args (@t31)) % 0.46/0.68 (step @p147 :rule trans :premises (@p146 @p134)) % 0.46/0.68 (step @p148 :rule trans :premises (@p147 @p105)) % 0.46/0.68 (step @p149 :rule eq_resolve :premises (@p3 @p148)) % 0.46/0.68 (step @p150 :rule not_implies_elim2 :premises (@p149)) % 0.46/0.68 (step @p151 :rule not_implies_elim1 :premises (@p150)) % 0.46/0.68 (step @p152 :rule not_implies_elim1 :premises (@p149)) % 0.46/0.68 (step @p153 :rule lambda-elim :args ((= @t68 @t66))) % 0.46/0.68 (step @p154 :rule refl :args (@t69)) % 0.46/0.68 (step @p155 :rule cong :premises (@p154 @p153) :args (@t70)) % 0.46/0.68 (step @p156 :rule refl :args (@t71)) % 0.46/0.68 (step @p157 :rule cong :premises (@p156 @p155) :args (@t72)) % 0.46/0.68 (step @p158 :rule beta-reduce :args ((= @t74 @t73))) % 0.46/0.68 (step @p159 :rule cong :premises (@p158) :args (@t75)) % 0.46/0.68 (step @p160 :rule refl :args (@t77)) % 0.46/0.68 (step @p161 :rule nary_cong :premises (@p160 @p159 @p157) :args (@t78)) % 0.46/0.68 (step @p162 :rule refl :args (@t79)) % 0.46/0.68 (step @p163 :rule cong :premises (@p162 @p161) :args ((=> @t79 @t78))) % 0.46/0.68 (assume-push @p205 @t79) % 0.46/0.68 (step @p165 :rule instantiate :premises (@p152) :args ((@list @t69 @t68 @t71))) % 0.46/0.68 (step-pop @p206 :rule scope :premises (@p165)) % 0.46/0.68 (step @p166 :rule process_scope :premises (@p206) :args (@t78)) % 0.46/0.68 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 0.46/0.68 (step @p169 :rule implies_elim :premises (@p168)) % 0.46/0.68 (step @p170 :rule chain_m_resolution :premises (@p169 @p152) :args (@t83 (@list false) (@list @t79))) % 0.46/0.68 (step @p171 :rule not_implies_elim2 :premises (@p150)) % 0.46/0.68 (step @p172 :rule skolemize :premises (@p171)) % 0.46/0.68 (step @p173 :rule bool-double-not-elim :args (@t73)) % 0.46/0.68 (step @p174 :rule refl :args (@t86)) % 0.46/0.68 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t86 (not @t82)))) % 0.46/0.68 (step @p176 :rule cnf_or_neg :args (@t86 1)) % 0.46/0.68 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.46/0.68 (step @p178 :rule reordering :premises (@p177) :args ((or @t73 @t86))) % 0.46/0.68 (step @p179 :rule chain_m_resolution :premises (@p178 @p172) :args (@t73 @t87 @t88)) % 0.46/0.68 (step @p180 :rule bool-double-not-elim :args (@t76)) % 0.46/0.68 (step @p181 :rule nary_cong :premises (@p174 @p180) :args ((or @t86 (not @t77)))) % 0.46/0.68 (step @p182 :rule cnf_or_neg :args (@t86 0)) % 0.46/0.68 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.46/0.68 (step @p184 :rule reordering :premises (@p183) :args ((or @t76 @t86))) % 0.46/0.68 (step @p185 :rule chain_m_resolution :premises (@p184 @p172) :args (@t76 @t87 @t88)) % 0.46/0.68 (step @p186 :rule cnf_or_pos :args (@t83)) % 0.46/0.68 (step @p187 :rule reordering :premises (@p186) :args ((or @t77 @t82 @t81 (not @t83)))) % 0.46/0.68 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p179 @p170) :args (@t81 (@list false false false) (@list @t76 @t73 @t83))) % 0.46/0.68 (step @p189 :rule true_intro :premises (@p188)) % 0.46/0.68 (step @p190 :rule bool-double-not-elim :args (@t84)) % 0.46/0.68 (step @p191 :rule nary_cong :premises (@p174 @p190) :args ((or @t86 (not @t85)))) % 0.46/0.68 (step @p192 :rule cnf_or_neg :args (@t86 2)) % 0.46/0.68 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 0.46/0.68 (step @p194 :rule reordering :premises (@p193) :args ((or @t84 @t86))) % 0.46/0.68 (step @p195 :rule chain_m_resolution :premises (@p194 @p172) :args (@t84 @t87 @t88)) % 0.46/0.68 (step @p196 :rule cong :premises (@p156 @p195) :args (@t89)) % 0.46/0.68 (step @p197 :rule trans :premises (@p196 @p189)) % 0.46/0.68 (step @p198 :rule true_elim :premises (@p197)) % 0.46/0.68 (assume-push @p207 @t90) % 0.46/0.68 (step @p200 :rule instantiate :premises (@p151) :args ((@list @t71))) % 0.46/0.68 (step-pop @p208 :rule scope :premises (@p200)) % 0.46/0.68 (step @p201 :rule process_scope :premises (@p208) :args ((not @t89))) % 0.46/0.68 (step @p203 :rule implies_elim :premises (@p201)) % 0.46/0.68 (step @p204 false :rule chain_m_resolution :premises (@p203 @p198 @p151) :args (false (@list false false) (@list @t89 @t90))) % 0.46/0.68 ) % 0.46/0.68 % SZS output end Proof % 0.46/0.68 % cvc5 exiting %------------------------------------------------------------------------------