%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU613^2 : 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 : n017.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 08:52:25 AM UTC 2026 % Result : Theorem 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU613^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:41:46 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.40/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.59 (declare-const tptp.binunionIR Bool) % 0.40/0.59 (declare-const tptp.dsetconstrI Bool) % 0.40/0.59 (define tptp.symdiff () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.in _let_2))) (let ((_let_4 (@var "A" $$unsorted))) (lambda (@list _let_4 _let_1) (_ (_ tptp.dsetconstr (_ (_ tptp.binunion _let_4) _let_1)) (lambda (@list _let_2) (or (not (_ _let_3 _let_4)) (not (_ _let_3 _let_1))))))))))) % 0.40/0.59 (define @t1 () (@var "Xy" $$unsorted)) % 0.40/0.59 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.59 (define @t3 () (_ @t2 @t1)) % 0.40/0.59 (define @t4 () (@list @t1)) % 0.40/0.59 (define @t5 () (lambda @t4 @t3)) % 0.40/0.59 (define @t6 () (@var "A" $$unsorted)) % 0.40/0.59 (define @t7 () (_ tptp.dsetconstr @t6)) % 0.40/0.59 (define @t8 () (_ @t7 @t5)) % 0.40/0.59 (define @t9 () (@var "Xx" $$unsorted)) % 0.40/0.59 (define @t10 () (_ tptp.in @t9)) % 0.40/0.59 (define @t11 () (_ @t10 @t8)) % 0.40/0.59 (define @t12 () (_ @t2 @t9)) % 0.40/0.59 (define @t13 () (=> @t12 @t11)) % 0.40/0.59 (define @t14 () (_ @t10 @t6)) % 0.40/0.59 (define @t15 () (@list @t6 @t2 @t9)) % 0.40/0.59 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.40/0.59 (define @t17 () (= tptp.dsetconstrI @t16)) % 0.40/0.59 (define @t18 () (@var "B" $$unsorted)) % 0.40/0.59 (define @t19 () (_ (_ tptp.binunion @t6) @t18)) % 0.40/0.59 (define @t20 () (_ @t10 @t19)) % 0.40/0.59 (define @t21 () (_ @t10 @t18)) % 0.40/0.59 (define @t22 () (@list @t6 @t18 @t9)) % 0.40/0.59 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.40/0.59 (define @t24 () (= tptp.binunionIR @t23)) % 0.40/0.59 (define @t25 () (=> @t21 (_ @t10 (_ (_ tptp.symdiff @t6) @t18)))) % 0.40/0.59 (define @t26 () (not @t14)) % 0.40/0.59 (define @t27 () (=> @t26 @t25)) % 0.40/0.59 (define @t28 () (forall @t22 @t27)) % 0.40/0.59 (define @t29 () (=> tptp.binunionIR @t28)) % 0.40/0.59 (define @t30 () (=> tptp.dsetconstrI @t29)) % 0.40/0.59 (define @t31 () (not @t30)) % 0.40/0.59 (define @t32 () (not @t21)) % 0.40/0.59 (define @t33 () (lambda (@list @t9) (or @t26 @t32))) % 0.40/0.59 (define @t34 () (_ tptp.dsetconstr @t19)) % 0.40/0.59 (define @t35 () (_ @t34 @t33)) % 0.40/0.59 (define @t36 () (lambda (@list @t6 @t18) @t35)) % 0.40/0.59 (define @t37 () (@var "BOUND_VARIABLE_7516" $$unsorted)) % 0.40/0.59 (define @t38 () (tptp.in @t37 @t18)) % 0.40/0.59 (define @t39 () (not @t38)) % 0.40/0.59 (define @t40 () (tptp.in @t37 @t6)) % 0.40/0.59 (define @t41 () (not @t40)) % 0.40/0.59 (define @t42 () (or @t41 @t39)) % 0.40/0.59 (define @t43 () (@list @t37)) % 0.40/0.59 (define @t44 () (lambda @t43 @t42)) % 0.40/0.59 (define @t45 () (tptp.binunion @t6 @t18)) % 0.40/0.59 (define @t46 () (tptp.dsetconstr @t45 @t44)) % 0.40/0.59 (define @t47 () (tptp.in @t9 @t46)) % 0.40/0.59 (define @t48 () (tptp.in @t9 @t18)) % 0.40/0.59 (define @t49 () (not @t48)) % 0.40/0.59 (define @t50 () (tptp.in @t9 @t6)) % 0.40/0.59 (define @t51 () (forall @t22 (or @t50 @t49 @t47))) % 0.40/0.59 (define @t52 () (tptp.in @t9 @t45)) % 0.40/0.59 (define @t53 () (or @t32 @t20)) % 0.40/0.59 (define @t54 () (=> tptp.binunionIR @t51)) % 0.40/0.59 (define @t55 () (_ @t2 @t1)) % 0.40/0.59 (define @t56 () (lambda @t4 @t55)) % 0.40/0.59 (define @t57 () (tptp.dsetconstr @t6 @t56)) % 0.40/0.59 (define @t58 () (tptp.in @t9 @t57)) % 0.40/0.59 (define @t59 () (_ @t2 @t9)) % 0.40/0.59 (define @t60 () (not @t59)) % 0.40/0.59 (define @t61 () (not @t50)) % 0.40/0.59 (define @t62 () (or @t61 @t60 @t58)) % 0.40/0.59 (define @t63 () (not @t12)) % 0.40/0.59 (define @t64 () (or @t26 @t63 @t11)) % 0.40/0.59 (define @t65 () (=> tptp.dsetconstrI @t54)) % 0.40/0.59 (define @t66 () (_ tptp.in @t37)) % 0.40/0.59 (define @t67 () (_ @t66 @t18)) % 0.40/0.59 (define @t68 () (not @t67)) % 0.40/0.59 (define @t69 () (_ @t66 @t6)) % 0.40/0.59 (define @t70 () (not @t69)) % 0.40/0.59 (define @t71 () (or @t70 @t68)) % 0.40/0.59 (define @t72 () (lambda @t43 @t71)) % 0.40/0.59 (define @t73 () (_ @t34 @t72)) % 0.40/0.59 (define @t74 () (_ @t10 @t73)) % 0.40/0.59 (define @t75 () (or @t14 @t32 @t74)) % 0.40/0.59 (define @t76 () (=> @t21 @t74)) % 0.40/0.59 (define @t77 () (=> @t21 (_ @t10 @t35))) % 0.40/0.59 (define @t78 () (=> @t26 @t77)) % 0.40/0.59 (define @t79 () (lambda (@list @t18) @t35)) % 0.40/0.59 (define @t80 () (_ @t36 @t6)) % 0.40/0.59 (define @t81 () (=> @t21 (_ @t10 (_ @t80 @t18)))) % 0.40/0.59 (define @t82 () (=> @t26 @t81)) % 0.40/0.59 (define @t83 () (forall @t22 @t82)) % 0.40/0.59 (define @t84 () (=> tptp.binunionIR @t83)) % 0.40/0.59 (define @t85 () (=> tptp.dsetconstrI @t84)) % 0.40/0.59 (define @t86 () (@quantifiers_skolemize @t51 2)) % 0.40/0.59 (define @t87 () (@quantifiers_skolemize @t51 1)) % 0.40/0.59 (define @t88 () (@quantifiers_skolemize @t51 0)) % 0.40/0.59 (define @t89 () (or (not (tptp.in @t37 @t88)) (not (tptp.in @t37 @t87)))) % 0.40/0.59 (define @t90 () (lambda @t43 @t89)) % 0.40/0.59 (define @t91 () (@purify @t90)) % 0.40/0.59 (define @t92 () (tptp.binunion @t88 @t87)) % 0.40/0.59 (define @t93 () (_ @t91 @t37)) % 0.40/0.59 (define @t94 () (_ @t90 @t37)) % 0.40/0.59 (define @t95 () (= @t93 @t94)) % 0.40/0.59 (define @t96 () (forall @t43 @t95)) % 0.40/0.59 (define @t97 () (tptp.in @t86 @t87)) % 0.40/0.59 (define @t98 () (not @t97)) % 0.40/0.59 (define @t99 () (tptp.in @t86 @t88)) % 0.40/0.59 (define @t100 () (not @t99)) % 0.40/0.59 (define @t101 () (or @t100 @t98)) % 0.40/0.59 (define @t102 () (_ @t91 @t86)) % 0.40/0.59 (define @t103 () (forall @t43 (= @t89 @t93))) % 0.40/0.59 (define @t104 () (= @t101 @t102)) % 0.40/0.59 (define @t105 () (= @t102 @t101)) % 0.40/0.59 (define @t106 () (tptp.in @t86 (tptp.dsetconstr @t92 @t91))) % 0.40/0.59 (define @t107 () (or @t99 @t98 @t106)) % 0.40/0.59 (define @t108 () (not @t107)) % 0.40/0.59 (define @t109 () (not @t51)) % 0.40/0.59 (define @t110 () (tptp.dsetconstr @t92 @t90)) % 0.40/0.59 (define @t111 () (tptp.in @t86 @t110)) % 0.40/0.59 (define @t112 () (or @t99 @t98 @t111)) % 0.40/0.59 (define @t113 () (not @t112)) % 0.40/0.59 (define @t114 () (@list true)) % 0.40/0.59 (define @t115 () (@list @t107)) % 0.40/0.59 (define @t116 () (not @t102)) % 0.40/0.59 (define @t117 () (tptp.in @t86 @t92)) % 0.40/0.59 (define @t118 () (not @t117)) % 0.40/0.59 (define @t119 () (or @t118 @t116 @t106)) % 0.40/0.59 (define @t120 () (or @t98 @t117)) % 0.40/0.59 (define @t121 () (not @t120)) % 0.40/0.59 (define @t122 () (forall @t22 (or @t49 @t52))) % 0.40/0.59 (assume @p1 @t17) % 0.40/0.59 (assume @p2 @t24) % 0.40/0.59 (assume @p3 @t31) % 0.40/0.59 (assume @p4 true) % 0.40/0.59 (step @p5 (= tptp.symdiff @t36) :rule refl :args (@t36)) % 0.40/0.59 (step @p6 :rule refl :args (@t51)) % 0.40/0.59 (step @p7 :rule refl :args ((tptp.in @t9 @t19))) % 0.40/0.59 (step @p8 :rule refl :args (@t45)) % 0.40/0.59 (step @p9 :rule refl :args (@t9)) % 0.40/0.59 (step @p10 :rule cong :premises (@p9 @p8) :args (@t52)) % 0.40/0.59 (step @p11 :rule trans :premises (@p10 @p7)) % 0.40/0.59 (step @p12 :rule refl :args (@t10)) % 0.40/0.59 (step @p13 :rule ho_cong :premises (@p12 @p8)) % 0.40/0.59 (step @p14 :rule cong :premises (@p13 @p11) :args ((= (_ @t10 @t45) @t52))) % 0.40/0.59 (step @p15 :rule symm :premises (@p14)) % 0.40/0.59 (step @p16 :rule refl :args (@t20)) % 0.40/0.59 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.40/0.59 (step @p18 :rule refl :args (@t19)) % 0.40/0.59 (step @p19 :rule cong :premises (@p18 @p8) :args ((= @t19 @t45))) % 0.40/0.59 (step @p20 :rule symm :premises (@p19)) % 0.40/0.59 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.40/0.59 (step @p22 :rule ho_cong :premises (@p12 @p21)) % 0.40/0.59 (step @p23 :rule trans :premises (@p22 @p17)) % 0.40/0.59 (step @p24 :rule refl :args (@t48)) % 0.40/0.59 (step @p25 :rule refl :args (@t21)) % 0.40/0.59 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t21 @t48))) % 0.40/0.59 (step @p27 :rule symm :premises (@p26)) % 0.40/0.59 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.40/0.59 (step @p29 :rule cong :premises (@p28) :args (@t32)) % 0.40/0.59 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t53)) % 0.40/0.59 (step @p31 :rule cong :premises (@p30) :args ((forall @t22 @t53))) % 0.40/0.59 (step @p32 :rule bool-impl-elim :args (@t21 @t20)) % 0.40/0.59 (step @p33 :rule cong :premises (@p32) :args (@t23)) % 0.40/0.59 (step @p34 :rule trans :premises (@p33 @p31)) % 0.40/0.59 (step @p35 :rule refl :args (tptp.binunionIR)) % 0.40/0.59 (step @p36 :rule cong :premises (@p35 @p34) :args (@t24)) % 0.40/0.59 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 0.40/0.59 (step @p38 :rule cong :premises (@p37 @p6) :args (@t54)) % 0.40/0.59 (step @p39 :rule lambda-elim :args ((= @t56 @t2))) % 0.40/0.59 (step @p40 :rule refl :args (@t6)) % 0.40/0.59 (step @p41 :rule cong :premises (@p40 @p39) :args (@t57)) % 0.40/0.59 (step @p42 :rule refl :args (@t9)) % 0.40/0.59 (step @p43 :rule cong :premises (@p42 @p41) :args (@t58)) % 0.40/0.59 (step @p44 :rule refl :args (@t60)) % 0.40/0.59 (step @p45 :rule refl :args (@t61)) % 0.40/0.59 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t62)) % 0.40/0.59 (step @p47 :rule cong :premises (@p46) :args ((forall @t15 @t62))) % 0.40/0.59 (step @p48 :rule refl :args ((tptp.in @t9 @t8))) % 0.40/0.59 (step @p49 :rule refl :args ((tptp.dsetconstr @t6 @t5))) % 0.40/0.59 (step @p50 :rule refl :args (@t55)) % 0.40/0.59 (step @p51 :rule cong :premises (@p50) :args (@t56)) % 0.40/0.59 (step @p52 :rule refl :args (@t6)) % 0.40/0.59 (step @p53 :rule cong :premises (@p52 @p51) :args (@t57)) % 0.40/0.59 (step @p54 :rule trans :premises (@p53 @p49)) % 0.40/0.59 (step @p55 :rule cong :premises (@p9 @p54) :args (@t58)) % 0.40/0.59 (step @p56 :rule trans :premises (@p55 @p48)) % 0.40/0.59 (step @p57 :rule ho_cong :premises (@p12 @p54)) % 0.40/0.59 (step @p58 :rule cong :premises (@p57 @p56) :args ((= (_ @t10 @t57) @t58))) % 0.40/0.59 (step @p59 :rule symm :premises (@p58)) % 0.40/0.59 (step @p60 :rule refl :args (@t11)) % 0.40/0.59 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.40/0.59 (step @p62 :rule refl :args (@t7)) % 0.40/0.59 (step @p63 :rule ho_cong :premises (@p62 @p51)) % 0.40/0.59 (step @p64 :rule cong :premises (@p63 @p54) :args ((= (_ @t7 @t56) @t57))) % 0.40/0.59 (step @p65 :rule symm :premises (@p64)) % 0.40/0.59 (step @p66 :rule refl :args (@t8)) % 0.40/0.59 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.40/0.59 (step @p68 :rule refl :args (@t3)) % 0.40/0.59 (step @p69 :rule cong :premises (@p68 @p50) :args ((= @t3 @t55))) % 0.40/0.59 (step @p70 :rule symm :premises (@p69)) % 0.40/0.59 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.40/0.59 (step @p72 :rule cong :premises (@p71) :args (@t5)) % 0.40/0.59 (step @p73 :rule ho_cong :premises (@p62 @p72)) % 0.40/0.59 (step @p74 :rule trans :premises (@p73 @p67)) % 0.40/0.59 (step @p75 :rule ho_cong :premises (@p12 @p74)) % 0.40/0.59 (step @p76 :rule trans :premises (@p75 @p61)) % 0.40/0.59 (step @p77 :rule refl :args (@t59)) % 0.40/0.59 (step @p78 :rule refl :args (@t12)) % 0.40/0.59 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t12 @t59))) % 0.40/0.59 (step @p80 :rule symm :premises (@p79)) % 0.40/0.59 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.40/0.59 (step @p82 :rule cong :premises (@p81) :args (@t63)) % 0.40/0.59 (step @p83 :rule refl :args (@t50)) % 0.40/0.59 (step @p84 :rule refl :args (@t14)) % 0.40/0.59 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t14 @t50))) % 0.40/0.59 (step @p86 :rule symm :premises (@p85)) % 0.40/0.59 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.40/0.59 (step @p88 :rule cong :premises (@p87) :args (@t26)) % 0.40/0.59 (step @p89 :rule nary_cong :premises (@p88 @p82 @p76) :args (@t64)) % 0.40/0.59 (step @p90 :rule cong :premises (@p89) :args ((forall @t15 @t64))) % 0.40/0.59 (step @p91 :rule trans :premises (@p90 @p47)) % 0.40/0.59 (step @p92 :rule aci_norm :args ((= (or @t26 (or @t63 @t11)) @t64))) % 0.40/0.59 (step @p93 :rule bool-impl-elim :args (@t12 @t11)) % 0.40/0.59 (step @p94 :rule refl :args (@t26)) % 0.40/0.59 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t26 @t13))) % 0.40/0.59 (step @p96 :rule trans :premises (@p95 @p92)) % 0.40/0.59 (step @p97 :rule bool-impl-elim :args (@t14 @t13)) % 0.40/0.59 (step @p98 :rule trans :premises (@p97 @p96)) % 0.40/0.59 (step @p99 :rule cong :premises (@p98) :args (@t16)) % 0.40/0.59 (step @p100 :rule trans :premises (@p99 @p91)) % 0.40/0.59 (step @p101 :rule refl :args (tptp.dsetconstrI)) % 0.40/0.59 (step @p102 :rule cong :premises (@p101 @p100) :args (@t17)) % 0.40/0.59 (step @p103 :rule eq_resolve :premises (@p1 @p102)) % 0.40/0.59 (step @p104 :rule cong :premises (@p103 @p38) :args (@t65)) % 0.40/0.59 (step @p105 :rule cong :premises (@p104) :args ((not @t65))) % 0.40/0.59 (step @p106 :rule refl :args ((tptp.in @t9 @t73))) % 0.40/0.59 (step @p107 :rule refl :args ((tptp.dsetconstr @t19 @t72))) % 0.40/0.59 (step @p108 :rule refl :args (@t38)) % 0.40/0.59 (step @p109 :rule cong :premises (@p108) :args (@t39)) % 0.40/0.59 (step @p110 :rule refl :args (@t40)) % 0.40/0.59 (step @p111 :rule cong :premises (@p110) :args (@t41)) % 0.40/0.59 (step @p112 :rule nary_cong :premises (@p111 @p109) :args (@t42)) % 0.40/0.59 (step @p113 :rule cong :premises (@p112) :args (@t44)) % 0.40/0.59 (step @p114 :rule cong :premises (@p8 @p113) :args (@t46)) % 0.40/0.59 (step @p115 :rule trans :premises (@p114 @p107)) % 0.40/0.59 (step @p116 :rule cong :premises (@p9 @p115) :args (@t47)) % 0.40/0.59 (step @p117 :rule trans :premises (@p116 @p106)) % 0.40/0.59 (step @p118 :rule ho_cong :premises (@p12 @p115)) % 0.40/0.59 (step @p119 :rule cong :premises (@p118 @p117) :args ((= (_ @t10 @t46) @t47))) % 0.40/0.59 (step @p120 :rule symm :premises (@p119)) % 0.40/0.59 (step @p121 :rule refl :args (@t74)) % 0.40/0.59 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 0.40/0.59 (step @p123 :rule refl :args (tptp.dsetconstr)) % 0.40/0.59 (step @p124 :rule ho_cong :premises (@p123 @p8)) % 0.40/0.59 (step @p125 :rule ho_cong :premises (@p124 @p113)) % 0.40/0.59 (step @p126 :rule cong :premises (@p125 @p115) :args ((= (_ (_ tptp.dsetconstr @t45) @t44) @t46))) % 0.40/0.59 (step @p127 :rule symm :premises (@p126)) % 0.40/0.59 (step @p128 :rule refl :args (@t73)) % 0.40/0.59 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.40/0.59 (step @p130 :rule refl :args (@t67)) % 0.40/0.59 (step @p131 :rule cong :premises (@p130 @p108) :args ((= @t67 @t38))) % 0.40/0.59 (step @p132 :rule symm :premises (@p131)) % 0.40/0.59 (step @p133 :rule eq_resolve :premises (@p130 @p132)) % 0.40/0.59 (step @p134 :rule cong :premises (@p133) :args (@t68)) % 0.40/0.59 (step @p135 :rule refl :args (@t69)) % 0.40/0.59 (step @p136 :rule cong :premises (@p135 @p110) :args ((= @t69 @t40))) % 0.40/0.59 (step @p137 :rule symm :premises (@p136)) % 0.40/0.59 (step @p138 :rule eq_resolve :premises (@p135 @p137)) % 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:premises (@p197)) % 0.40/0.59 (step @p199 :rule not_implies_elim1 :premises (@p196)) % 0.40/0.59 (step @p200 :rule instantiate :premises (@p199) :args ((@list @t92 @t91 @t86))) % 0.40/0.59 (step @p201 :rule eq-symm :args (@t93 @t89)) % 0.40/0.59 (step @p202 :rule beta-reduce :args ((= @t94 @t89))) % 0.40/0.59 (step @p203 :rule refl :args (@t93)) % 0.40/0.59 (step @p204 :rule cong :premises (@p203 @p202) :args (@t95)) % 0.40/0.59 (step @p205 :rule trans :premises (@p204 @p201)) % 0.40/0.59 (step @p206 :rule cong :premises (@p205) :args (@t96)) % 0.40/0.59 (step @p207 :rule quant-unused-vars :args ((= (forall @t43 true) true))) % 0.40/0.59 (step @p208 :rule eq-refl :args (@t94)) % 0.40/0.59 (step @p209 :rule cong :premises (@p208) :args ((forall @t43 (= @t94 @t94)))) % 0.40/0.59 (step @p210 :rule trans :premises (@p209 @p207)) % 0.40/0.59 (step @p211 :rule refl :args (@t94)) % 0.40/0.59 (step @p212 :rule refl :args (@t37)) % 0.40/0.59 (step @p213 :rule skolem_intro :args (@t91)) % 0.40/0.59 (step @p214 :rule ho_cong :premises (@p213 @p212)) % 0.40/0.59 (step @p215 :rule cong :premises (@p214 @p211) :args (@t95)) % 0.40/0.59 (step @p216 :rule cong :premises (@p215) :args (@t96)) % 0.40/0.59 (step @p217 :rule trans :premises (@p216 @p210)) % 0.40/0.59 (step @p218 :rule true_elim :premises (@p217)) % 0.40/0.59 (step @p219 :rule eq_resolve :premises (@p218 @p206)) % 0.40/0.59 (step @p220 :rule eq-symm :args (@t101 @t102)) % 0.40/0.59 (step @p221 :rule refl :args (@t103)) % 0.40/0.59 (step @p222 :rule cong :premises (@p221 @p220) :args ((=> @t103 @t104))) % 0.40/0.59 (assume-push @p290 @t103) % 0.40/0.59 (step @p224 :rule instantiate :premises (@p219) :args ((@list @t86))) % 0.40/0.59 (step-pop @p291 :rule scope :premises (@p224)) % 0.40/0.59 (step @p225 :rule process_scope :premises (@p291) :args (@t104)) % 0.40/0.59 (step @p227 :rule eq_resolve :premises (@p225 @p222)) % 0.40/0.59 (step @p228 :rule implies_elim :premises (@p227)) % 0.40/0.59 (step @p229 :rule chain_m_resolution :premises (@p228 @p219) :args (@t105 (@list false) (@list @t103))) % 0.40/0.59 (step @p230 :rule not_implies_elim2 :premises (@p197)) % 0.40/0.59 (step @p231 :rule refl :args (@t108)) % 0.40/0.59 (step @p232 :rule bool-double-not-elim :args (@t51)) % 0.40/0.59 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or (not @t109) @t108))) % 0.40/0.59 (step @p234 :rule eq-refl :args (@t90)) % 0.40/0.59 (step @p235 :rule refl :args (@t90)) % 0.40/0.59 (step @p236 :rule cong :premises (@p235 @p213) :args ((= @t90 @t91))) % 0.40/0.59 (step @p237 :rule trans :premises (@p236 @p234)) % 0.40/0.59 (step @p238 :rule true_elim :premises (@p237)) % 0.40/0.59 (step @p239 :rule refl :args (@t92)) % 0.40/0.59 (step @p240 :rule cong :premises (@p239 @p238) :args (@t110)) % 0.40/0.59 (step @p241 :rule refl :args (@t86)) % 0.40/0.59 (step @p242 :rule cong :premises (@p241 @p240) :args (@t111)) % 0.40/0.59 (step @p243 :rule refl :args (@t98)) % 0.40/0.59 (step @p244 :rule refl 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0.40/0.59 (step @p259 :rule bool-double-not-elim :args (@t99)) % 0.40/0.59 (step @p260 :rule refl :args (@t101)) % 0.40/0.59 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or @t101 (not @t100)))) % 0.40/0.59 (step @p262 :rule cnf_or_neg :args (@t101 0)) % 0.40/0.59 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 0.40/0.59 (step @p264 :rule reordering :premises (@p263) :args ((or @t99 @t101))) % 0.40/0.59 (step @p265 :rule chain_m_resolution :premises (@p264 @p258) :args (@t101 @t114 (@list @t99))) % 0.40/0.59 (step @p266 :rule cnf_equiv_pos2 :args (@t105)) % 0.40/0.59 (step @p267 :rule reordering :premises (@p266) :args ((or @t102 (not @t101) (not @t105)))) % 0.40/0.59 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p229) :args (@t102 (@list false false) (@list @t101 @t105))) % 0.40/0.59 (step @p269 :rule cnf_or_neg :args (@t107 2)) % 0.40/0.59 (step @p270 :rule chain_m_resolution :premises (@p269 @p256) :args ((not @t106) @t114 @t115)) % 0.40/0.59 (step @p271 :rule cnf_or_pos :args (@t119)) % 0.40/0.59 (step @p272 :rule reordering :premises (@p271) :args ((or @t106 @t118 @t116 (not @t119)))) % 0.40/0.59 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p268 @p200) :args (@t118 (@list true false false) (@list @t106 @t102 @t119))) % 0.40/0.59 (step @p274 :rule bool-double-not-elim :args (@t97)) % 0.40/0.59 (step @p275 :rule refl :args (@t107)) % 0.40/0.59 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or @t107 (not @t98)))) % 0.40/0.59 (step @p277 :rule cnf_or_neg :args (@t107 1)) % 0.40/0.59 (step @p278 :rule eq_resolve :premises (@p277 @p276)) % 0.40/0.59 (step @p279 :rule reordering :premises (@p278) :args ((or @t97 @t107))) % 0.40/0.59 (step @p280 :rule chain_m_resolution :premises (@p279 @p256) :args (@t97 @t114 @t115)) % 0.40/0.59 (step @p281 :rule cnf_or_pos :args (@t120)) % 0.40/0.59 (step @p282 :rule reordering :premises (@p281) :args ((or @t98 @t117 @t121))) % 0.40/0.59 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p273) :args (@t121 (@list false true) (@list @t97 @t117))) % 0.40/0.59 (assume-push @p294 @t122) % 0.40/0.59 (step @p285 :rule instantiate :premises (@p198) :args ((@list @t88 @t87 @t86))) % 0.40/0.59 (step-pop @p295 :rule scope :premises (@p285)) % 0.40/0.59 (step @p286 :rule process_scope :premises (@p295) :args (@t120)) % 0.40/0.59 (step @p288 :rule implies_elim :premises (@p286)) % 0.40/0.59 (step @p289 false :rule chain_m_resolution :premises (@p288 @p283 @p198) :args (false (@list true false) (@list @t120 @t122))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------