%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV097^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:55:26 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV097^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.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 18:12:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.45/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort tptp.b 0) % 0.45/0.63 (declare-sort tptp.a 0) % 0.45/0.63 (declare-const tptp.cS (-> tptp.b tptp.b Bool)) % 0.45/0.63 (declare-const tptp.f (-> tptp.a tptp.b Bool)) % 0.45/0.63 (declare-const tptp.cR (-> tptp.a tptp.a Bool)) % 0.45/0.63 (declare-const tptp.z tptp.a) % 0.45/0.63 (define @t1 () (@var "Xx" tptp.a)) % 0.45/0.63 (define @t2 () (_ tptp.cR @t1)) % 0.45/0.63 (define @t3 () (_ @t2 tptp.z)) % 0.45/0.63 (define @t4 () (@var "Xy" tptp.b)) % 0.45/0.63 (define @t5 () (@var "Xw" tptp.a)) % 0.45/0.63 (define @t6 () (not (_ (_ tptp.f @t5) @t4))) % 0.45/0.63 (define @t7 () (and @t6 @t3)) % 0.45/0.63 (define @t8 () (_ tptp.f @t1)) % 0.45/0.63 (define @t9 () (_ @t8 @t4)) % 0.45/0.63 (define @t10 () (@list @t5)) % 0.45/0.63 (define @t11 () (forall @t10 (or @t9 @t7))) % 0.45/0.63 (define @t12 () (@list @t4)) % 0.45/0.63 (define @t13 () (exists @t12 @t11)) % 0.45/0.63 (define @t14 () (@list @t1)) % 0.45/0.63 (define @t15 () (forall @t14 @t13)) % 0.45/0.63 (define @t16 () (@var "Xx2" tptp.a)) % 0.45/0.63 (define @t17 () (@var "Xx1" tptp.a)) % 0.45/0.63 (define @t18 () (_ (_ tptp.cR @t17) @t16)) % 0.45/0.63 (define @t19 () (_ (_ tptp.f @t16) @t4)) % 0.45/0.63 (define @t20 () (_ (_ tptp.f @t17) @t4)) % 0.45/0.63 (define @t21 () (and @t20 @t19)) % 0.45/0.63 (define @t22 () (@list @t17 @t16 @t4)) % 0.45/0.63 (define @t23 () (forall @t22 (=> @t21 @t18))) % 0.45/0.63 (define @t24 () (@var "Xy2" tptp.b)) % 0.45/0.63 (define @t25 () (@var "Xy1" tptp.b)) % 0.45/0.63 (define @t26 () (_ (_ tptp.cS @t25) @t24)) % 0.45/0.63 (define @t27 () (_ @t8 @t24)) % 0.45/0.63 (define @t28 () (_ @t8 @t25)) % 0.45/0.63 (define @t29 () (and @t28 @t27)) % 0.45/0.63 (define @t30 () (@list @t1 @t25 @t24)) % 0.45/0.63 (define @t31 () (forall @t30 (=> @t29 @t26))) % 0.45/0.63 (define @t32 () (exists @t12 @t9)) % 0.45/0.63 (define @t33 () (forall @t14 @t32)) % 0.45/0.63 (define @t34 () (and @t33 @t31 @t23)) % 0.45/0.63 (define @t35 () (=> @t34 @t15)) % 0.45/0.63 (define @t36 () (_ @t2 @t1)) % 0.45/0.63 (define @t37 () (forall @t14 @t36)) % 0.45/0.63 (define @t38 () (@var "Xu" tptp.a)) % 0.45/0.63 (define @t39 () (_ tptp.cR @t38)) % 0.45/0.63 (define @t40 () (_ @t39 @t5)) % 0.45/0.63 (define @t41 () (@var "Xv" tptp.a)) % 0.45/0.63 (define @t42 () (_ (_ tptp.cR @t5) @t41)) % 0.45/0.63 (define @t43 () (_ @t39 @t41)) % 0.45/0.63 (define @t44 () (and @t43 @t42)) % 0.45/0.63 (define @t45 () (@list @t38 @t41 @t5)) % 0.45/0.63 (define @t46 () (forall @t45 (=> @t44 @t40))) % 0.45/0.63 (define @t47 () (and @t46 @t37)) % 0.45/0.63 (define @t48 () (=> @t47 @t35)) % 0.45/0.63 (define @t49 () (not @t48)) % 0.45/0.63 (define @t50 () (@var "BOUND_VARIABLE_7561" tptp.b)) % 0.45/0.63 (define @t51 () (@var "BOUND_VARIABLE_7530" tptp.a)) % 0.45/0.63 (define @t52 () (@list @t51)) % 0.45/0.63 (define @t53 () (not (forall @t52 (not (tptp.f @t51 @t50))))) % 0.45/0.63 (define @t54 () (@list @t50)) % 0.45/0.63 (define @t55 () (forall @t54 @t53)) % 0.45/0.63 (define @t56 () (not @t55)) % 0.45/0.63 (define @t57 () (tptp.cR @t1 tptp.z)) % 0.45/0.63 (define @t58 () (and @t3 @t56)) % 0.45/0.63 (define @t59 () (@var "BOUND_VARIABLE_7555" tptp.b)) % 0.45/0.63 (define @t60 () (tptp.f @t1 @t59)) % 0.45/0.63 (define @t61 () (@list @t59)) % 0.45/0.63 (define @t62 () (forall @t61 (not @t60))) % 0.45/0.63 (define @t63 () (not @t62)) % 0.45/0.63 (define @t64 () (or @t63 @t58)) % 0.45/0.63 (define @t65 () (not @t3)) % 0.45/0.63 (define @t66 () (or @t65 @t55)) % 0.45/0.63 (define @t67 () (or @t65 @t53)) % 0.45/0.63 (define @t68 () (or @t53 @t65)) % 0.45/0.63 (define @t69 () (forall @t54 @t68)) % 0.45/0.63 (define @t70 () (_ @t8 @t59)) % 0.45/0.63 (define @t71 () (not @t70)) % 0.45/0.63 (define @t72 () (forall @t61 @t71)) % 0.45/0.63 (define @t73 () (tptp.f @t51 @t4)) % 0.45/0.63 (define @t74 () (forall @t52 (not @t73))) % 0.45/0.63 (define @t75 () (or (not @t74) @t65)) % 0.45/0.63 (define @t76 () (forall @t12 @t75)) % 0.45/0.63 (define @t77 () (@list @t4)) % 0.45/0.63 (define @t78 () (not @t9)) % 0.45/0.63 (define @t79 () (forall @t12 @t78)) % 0.45/0.63 (define @t80 () (@list @t59)) % 0.45/0.63 (define @t81 () (and @t79 @t76)) % 0.45/0.63 (define @t82 () (and @t74 @t3)) % 0.45/0.63 (define @t83 () (or @t9 @t82)) % 0.45/0.63 (define @t84 () (forall @t12 (not @t83))) % 0.45/0.63 (define @t85 () (not @t84)) % 0.45/0.63 (define @t86 () (_ (_ tptp.f @t51) @t4)) % 0.45/0.63 (define @t87 () (not @t86)) % 0.45/0.63 (define @t88 () (forall @t52 @t87)) % 0.45/0.63 (define @t89 () (forall @t10 @t3)) % 0.45/0.63 (define @t90 () (forall @t10 @t6)) % 0.45/0.63 (define @t91 () (and @t90 @t89)) % 0.45/0.63 (define @t92 () (forall @t10 @t7)) % 0.45/0.63 (define @t93 () (or @t9 @t92)) % 0.45/0.63 (define @t94 () (tptp.cR @t17 @t16)) % 0.45/0.63 (define @t95 () (tptp.f @t16 @t4)) % 0.45/0.63 (define @t96 () (not @t19)) % 0.45/0.63 (define @t97 () (tptp.f @t17 @t4)) % 0.45/0.63 (define @t98 () (not @t20)) % 0.45/0.63 (define @t99 () (or @t98 @t96 @t18)) % 0.45/0.63 (define @t100 () (tptp.cS @t25 @t24)) % 0.45/0.63 (define @t101 () (tptp.f @t1 @t24)) % 0.45/0.63 (define @t102 () (not @t27)) % 0.45/0.63 (define @t103 () (tptp.f @t1 @t25)) % 0.45/0.63 (define @t104 () (not @t28)) % 0.45/0.63 (define @t105 () (or @t104 @t102 @t26)) % 0.45/0.63 (define @t106 () (tptp.f @t1 @t4)) % 0.45/0.63 (define @t107 () (not @t79)) % 0.45/0.63 (define @t108 () (tptp.cR @t1 @t1)) % 0.45/0.63 (define @t109 () (tptp.cR @t38 @t5)) % 0.45/0.63 (define @t110 () (tptp.cR @t5 @t41)) % 0.45/0.63 (define @t111 () (not @t42)) % 0.45/0.63 (define @t112 () (tptp.cR @t38 @t41)) % 0.45/0.63 (define @t113 () (not @t43)) % 0.45/0.63 (define @t114 () (or @t113 @t111 @t40)) % 0.45/0.63 (define @t115 () (@quantifiers_skolemize (forall @t14 (or @t63 (and @t57 @t56))) 0)) % 0.45/0.63 (define @t116 () (forall @t61 (not (tptp.f @t115 @t59)))) % 0.45/0.63 (define @t117 () (not @t116)) % 0.45/0.63 (define @t118 () (or @t117 (and (tptp.cR @t115 tptp.z) @t56))) % 0.45/0.63 (define @t119 () (forall @t12 (not (tptp.f @t115 @t4)))) % 0.45/0.63 (define @t120 () (forall @t14 (not (forall @t12 (not @t106))))) % 0.45/0.63 (assume @p1 @t49) % 0.45/0.63 (assume @p2 true) % 0.45/0.63 (step @p3 :rule refl :args (@t56)) % 0.45/0.63 (step @p4 :rule refl :args (@t57)) % 0.45/0.63 (step @p5 :rule refl :args (@t3)) % 0.45/0.63 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t57))) % 0.45/0.63 (step @p7 :rule symm :premises (@p6)) % 0.45/0.63 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.45/0.63 (step @p9 :rule nary_cong :premises (@p8 @p3) :args (@t58)) % 0.45/0.63 (step @p10 :rule refl :args (@t63)) % 0.45/0.63 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t64)) % 0.45/0.63 (step @p12 :rule cong :premises (@p11) :args ((forall @t14 @t64))) % 0.45/0.63 (step @p13 :rule bool-double-not-elim :args (@t3)) % 0.45/0.63 (step @p14 :rule nary_cong :premises (@p13 @p3) :args ((and (not @t65) @t56))) % 0.45/0.63 (step @p15 :rule bool-or-de-morgan :args (@t65 @t55 false)) % 0.45/0.63 (step @p16 :rule trans :premises (@p15 @p14)) % 0.45/0.63 (step @p17 :rule nary_cong :premises (@p10 @p16) :args ((or @t63 (not @t66)))) % 0.45/0.63 (step @p18 :rule bool-and-de-morgan :args (@t62 @t66 true)) % 0.45/0.63 (step @p19 :rule trans :premises (@p18 @p17)) % 0.45/0.63 (step @p20 :rule cong :premises (@p19) :args ((forall @t14 (not (and @t62 @t66))))) % 0.45/0.63 (step @p21 :rule trans :premises (@p20 @p12)) % 0.45/0.63 (step @p22 :rule quant-miniscope-or :args ((= (forall @t54 @t67) @t66))) % 0.45/0.63 (step @p23 :rule aci_norm :args ((= @t68 @t67))) % 0.45/0.63 (step @p24 :rule cong :premises (@p23) :args (@t69)) % 0.45/0.63 (step @p25 :rule trans :premises (@p24 @p22)) % 0.45/0.63 (step @p26 :rule refl :args (@t60)) % 0.45/0.63 (step @p27 :rule refl :args (@t70)) % 0.45/0.63 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t70 @t60))) % 0.45/0.63 (step @p29 :rule symm :premises (@p28)) % 0.45/0.63 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.45/0.63 (step @p31 :rule cong :premises (@p30) :args (@t71)) % 0.45/0.63 (step @p32 :rule cong :premises (@p31) :args (@t72)) % 0.45/0.63 (step @p33 :rule nary_cong :premises (@p32 @p25) :args ((and @t72 @t69))) % 0.45/0.63 (step @p34 :rule alpha_equiv :args (@t76 @t77 (@list @t50))) % 0.45/0.63 (step @p35 :rule alpha_equiv :args (@t79 @t77 @t80)) % 0.45/0.63 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t81)) % 0.45/0.63 (step @p37 :rule quant-miniscope-and :args ((= (forall @t12 (and @t78 @t75)) @t81))) % 0.45/0.63 (step @p38 :rule trans :premises (@p37 @p36)) % 0.45/0.63 (step @p39 :rule trans :premises (@p38 @p33)) % 0.45/0.63 (step @p40 :rule bool-and-de-morgan :args (@t74 @t3 true)) % 0.45/0.63 (step @p41 :rule refl :args (@t78)) % 0.45/0.63 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((and @t78 (not @t82)))) % 0.45/0.63 (step @p43 :rule bool-or-de-morgan :args (@t9 @t82 false)) % 0.45/0.63 (step @p44 :rule trans :premises (@p43 @p42)) % 0.45/0.63 (step @p45 :rule cong :premises (@p44) :args (@t84)) % 0.45/0.63 (step @p46 :rule trans :premises (@p45 @p39)) % 0.45/0.63 (step @p47 :rule cong :premises (@p46) :args (@t85)) % 0.45/0.63 (step @p48 :rule exists-elim :args ((= (exists @t12 @t83) @t85))) % 0.45/0.63 (step @p49 :rule trans :premises (@p48 @p47)) % 0.45/0.63 (step @p50 :rule refl :args (@t3)) % 0.45/0.63 (step @p51 :rule refl :args (@t73)) % 0.45/0.63 (step @p52 :rule refl :args (@t86)) % 0.45/0.63 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t86 @t73))) % 0.45/0.63 (step @p54 :rule symm :premises (@p53)) % 0.45/0.63 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.45/0.63 (step @p56 :rule cong :premises (@p55) :args (@t87)) % 0.45/0.63 (step @p57 :rule cong :premises (@p56) :args (@t88)) % 0.45/0.63 (step @p58 :rule nary_cong :premises (@p57 @p50) :args ((and @t88 @t3))) % 0.45/0.63 (step @p59 :rule quant-unused-vars :args ((= @t89 @t3))) % 0.45/0.63 (step @p60 :rule alpha_equiv :args (@t90 (@list @t5) (@list @t51))) % 0.45/0.63 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t91)) % 0.45/0.63 (step @p62 :rule quant-miniscope-and :args ((= @t92 @t91))) % 0.45/0.63 (step @p63 :rule trans :premises (@p62 @p61)) % 0.45/0.63 (step @p64 :rule trans :premises (@p63 @p58)) % 0.45/0.63 (step @p65 :rule refl :args (@t9)) % 0.45/0.63 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t93)) % 0.45/0.63 (step @p67 :rule quant-miniscope-or :args ((= @t11 @t93))) % 0.45/0.63 (step @p68 :rule trans :premises (@p67 @p66)) % 0.45/0.63 (step @p69 :rule cong :premises (@p68) :args (@t13)) % 0.45/0.63 (step @p70 :rule trans :premises (@p69 @p49)) % 0.45/0.63 (step @p71 :rule cong :premises (@p70) :args (@t15)) % 0.45/0.63 (step @p72 :rule trans :premises (@p71 @p21)) % 0.45/0.63 (step @p73 :rule refl :args (@t94)) % 0.45/0.63 (step @p74 :rule refl :args (@t18)) % 0.45/0.63 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t18 @t94))) % 0.45/0.63 (step @p76 :rule symm :premises (@p75)) % 0.45/0.63 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.45/0.63 (step @p78 :rule refl :args (@t95)) % 0.45/0.63 (step @p79 :rule refl :args (@t19)) % 0.45/0.63 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t19 @t95))) % 0.45/0.63 (step @p81 :rule symm :premises (@p80)) % 0.45/0.63 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.45/0.63 (step @p83 :rule cong :premises (@p82) :args (@t96)) % 0.45/0.63 (step @p84 :rule refl :args (@t97)) % 0.45/0.63 (step @p85 :rule refl :args (@t20)) % 0.45/0.63 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t20 @t97))) % 0.45/0.63 (step @p87 :rule symm :premises (@p86)) % 0.45/0.63 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.45/0.63 (step @p89 :rule cong :premises (@p88) :args (@t98)) % 0.45/0.63 (step @p90 :rule nary_cong :premises (@p89 @p83 @p77) :args (@t99)) % 0.45/0.63 (step @p91 :rule cong :premises (@p90) :args ((forall @t22 @t99))) % 0.45/0.63 (step @p92 :rule aci_norm :args ((= (or (or @t98 @t96) @t18) @t99))) % 0.45/0.63 (step @p93 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.45/0.63 (step @p94 :rule nary_cong :premises (@p93 @p74) :args ((or (not @t21) @t18))) % 0.45/0.63 (step @p95 :rule trans :premises (@p94 @p92)) % 0.45/0.63 (step @p96 :rule bool-impl-elim :args (@t21 @t18)) % 0.45/0.63 (step @p97 :rule trans :premises (@p96 @p95)) % 0.45/0.63 (step @p98 :rule cong :premises (@p97) :args (@t23)) % 0.45/0.63 (step @p99 :rule trans :premises (@p98 @p91)) % 0.45/0.63 (step @p100 :rule refl :args (@t100)) % 0.45/0.63 (step @p101 :rule refl :args (@t26)) % 0.45/0.63 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t26 @t100))) % 0.45/0.63 (step @p103 :rule symm :premises (@p102)) % 0.45/0.63 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.45/0.63 (step @p105 :rule refl :args (@t101)) % 0.45/0.63 (step @p106 :rule refl :args (@t27)) % 0.45/0.63 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t27 @t101))) % 0.45/0.63 (step @p108 :rule symm :premises (@p107)) % 0.45/0.63 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 0.45/0.63 (step @p110 :rule cong :premises (@p109) :args (@t102)) % 0.45/0.63 (step @p111 :rule refl :args (@t103)) % 0.45/0.63 (step @p112 :rule refl :args (@t28)) % 0.45/0.63 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t28 @t103))) % 0.45/0.63 (step @p114 :rule symm :premises (@p113)) % 0.45/0.63 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 0.45/0.63 (step @p116 :rule cong :premises (@p115) :args (@t104)) % 0.45/0.63 (step @p117 :rule nary_cong :premises (@p116 @p110 @p104) :args (@t105)) % 0.45/0.63 (step @p118 :rule cong :premises (@p117) :args ((forall @t30 @t105))) % 0.45/0.63 (step @p119 :rule aci_norm :args ((= (or (or @t104 @t102) @t26) @t105))) % 0.45/0.63 (step @p120 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.45/0.63 (step @p121 :rule nary_cong :premises (@p120 @p101) :args ((or (not @t29) @t26))) % 0.45/0.63 (step @p122 :rule trans :premises (@p121 @p119)) % 0.45/0.63 (step @p123 :rule bool-impl-elim :args (@t29 @t26)) % 0.45/0.63 (step @p124 :rule trans :premises (@p123 @p122)) % 0.45/0.63 (step @p125 :rule cong :premises (@p124) :args (@t31)) % 0.45/0.63 (step @p126 :rule trans :premises (@p125 @p118)) % 0.45/0.63 (step @p127 :rule refl :args (@t106)) % 0.45/0.63 (step @p128 :rule refl :args (@t9)) % 0.45/0.63 (step @p129 :rule cong :premises (@p128 @p127) :args ((= @t9 @t106))) % 0.45/0.63 (step @p130 :rule symm :premises (@p129)) % 0.45/0.63 (step @p131 :rule eq_resolve :premises (@p128 @p130)) % 0.45/0.63 (step @p132 :rule cong :premises (@p131) :args (@t78)) % 0.45/0.63 (step @p133 :rule cong :premises (@p132) :args (@t79)) % 0.45/0.63 (step @p134 :rule cong :premises (@p133) :args (@t107)) % 0.45/0.63 (step @p135 :rule exists-elim :args ((= @t32 @t107))) % 0.45/0.63 (step @p136 :rule trans :premises (@p135 @p134)) % 0.45/0.63 (step @p137 :rule cong :premises (@p136) :args (@t33)) % 0.45/0.63 (step @p138 :rule nary_cong :premises (@p137 @p126 @p99) :args (@t34)) % 0.45/0.63 (step @p139 :rule cong :premises (@p138 @p72) :args (@t35)) % 0.45/0.63 (step @p140 :rule refl :args (@t108)) % 0.45/0.63 (step @p141 :rule refl :args (@t36)) % 0.45/0.63 (step @p142 :rule cong :premises (@p141 @p140) :args ((= @t36 @t108))) % 0.45/0.63 (step @p143 :rule symm :premises (@p142)) % 0.45/0.63 (step @p144 :rule eq_resolve :premises (@p141 @p143)) % 0.45/0.63 (step @p145 :rule cong :premises (@p144) :args (@t37)) % 0.45/0.63 (step @p146 :rule refl :args (@t109)) % 0.45/0.63 (step @p147 :rule refl :args (@t40)) % 0.45/0.63 (step @p148 :rule cong :premises (@p147 @p146) :args ((= @t40 @t109))) % 0.45/0.63 (step @p149 :rule symm :premises (@p148)) % 0.45/0.63 (step @p150 :rule eq_resolve :premises (@p147 @p149)) % 0.45/0.63 (step @p151 :rule refl :args (@t110)) % 0.45/0.63 (step @p152 :rule refl :args (@t42)) % 0.45/0.63 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t42 @t110))) % 0.45/0.63 (step @p154 :rule symm :premises (@p153)) % 0.45/0.63 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.45/0.63 (step @p156 :rule cong :premises (@p155) :args (@t111)) % 0.45/0.63 (step @p157 :rule refl :args (@t112)) % 0.45/0.63 (step @p158 :rule refl :args (@t43)) % 0.45/0.63 (step @p159 :rule cong :premises (@p158 @p157) :args ((= @t43 @t112))) % 0.45/0.63 (step @p160 :rule symm :premises (@p159)) % 0.45/0.63 (step @p161 :rule eq_resolve :premises (@p158 @p160)) % 0.45/0.63 (step @p162 :rule cong :premises (@p161) :args (@t113)) % 0.45/0.63 (step @p163 :rule nary_cong :premises (@p162 @p156 @p150) :args (@t114)) % 0.45/0.63 (step @p164 :rule cong :premises (@p163) :args ((forall @t45 @t114))) % 0.45/0.63 (step @p165 :rule aci_norm :args ((= (or (or @t113 @t111) @t40) @t114))) % 0.45/0.63 (step @p166 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 0.45/0.63 (step @p167 :rule nary_cong :premises (@p166 @p147) :args ((or (not @t44) @t40))) % 0.45/0.63 (step @p168 :rule trans :premises (@p167 @p165)) % 0.45/0.63 (step @p169 :rule bool-impl-elim :args (@t44 @t40)) % 0.45/0.63 (step @p170 :rule trans :premises (@p169 @p168)) % 0.45/0.63 (step @p171 :rule cong :premises (@p170) :args (@t46)) % 0.45/0.63 (step @p172 :rule trans :premises (@p171 @p164)) % 0.45/0.63 (step @p173 :rule nary_cong :premises (@p172 @p145) :args (@t47)) % 0.45/0.63 (step @p174 :rule cong :premises (@p173 @p139) :args (@t48)) % 0.45/0.63 (step @p175 :rule cong :premises (@p174) :args (@t49)) % 0.45/0.63 (step @p176 :rule eq_resolve :premises (@p1 @p175)) % 0.45/0.63 (step @p177 :rule not_implies_elim2 :premises (@p176)) % 0.45/0.63 (step @p178 :rule not_implies_elim1 :premises (@p177)) % 0.45/0.63 (step @p179 :rule and_elim :premises (@p178) :args (0)) % 0.45/0.63 (step @p180 :rule not_implies_elim2 :premises (@p177)) % 0.45/0.63 (step @p181 :rule skolemize :premises (@p180)) % 0.45/0.63 (step @p182 :rule bool-double-not-elim :args (@t116)) % 0.45/0.63 (step @p183 :rule refl :args (@t118)) % 0.45/0.63 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t118 (not @t117)))) % 0.45/0.63 (step @p185 :rule cnf_or_neg :args (@t118 0)) % 0.45/0.63 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.45/0.63 (step @p187 :rule reordering :premises (@p186) :args ((or @t116 @t118))) % 0.45/0.63 (step @p188 :rule chain_m_resolution :premises (@p187 @p181) :args (@t116 (@list true) (@list @t118))) % 0.45/0.63 (step @p189 :rule alpha_equiv :args (@t116 @t80 @t77)) % 0.45/0.63 (step @p190 :rule equiv_elim1 :premises (@p189)) % 0.45/0.63 (step @p191 :rule chain_m_resolution :premises (@p190 @p188) :args (@t119 (@list false) (@list @t116))) % 0.45/0.63 (assume-push @p198 @t120) % 0.45/0.63 (step @p193 :rule instantiate :premises (@p179) :args ((@list @t115))) % 0.45/0.63 (step-pop @p199 :rule scope :premises (@p193)) % 0.45/0.63 (step @p194 :rule process_scope :premises (@p199) :args ((not @t119))) % 0.45/0.63 (step @p196 :rule implies_elim :premises (@p194)) % 0.45/0.63 (step @p197 false :rule chain_m_resolution :premises (@p196 @p191 @p179) :args (false (@list false false) (@list @t119 @t120))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------