%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO274^5 : 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 : 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 09:12:21 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO274^5 : 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 % 0.18/0.36 % Computer : n020.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Wed Jun 3 00:02:26 EDT 2026 % 0.18/0.36 % CPUTime : % 0.29/0.52 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort tptp.b 0) % 0.37/0.60 (declare-sort tptp.a 0) % 0.37/0.60 (declare-sort tptp.c 0) % 0.37/0.60 (declare-const tptp.cF (-> tptp.b tptp.a)) % 0.37/0.60 (declare-const tptp.cG (-> tptp.c tptp.b)) % 0.37/0.60 (define @t1 () (@var "Xy" tptp.c)) % 0.37/0.60 (define @t2 () (@var "Xq" (-> tptp.c Bool))) % 0.37/0.60 (define @t3 () (_ @t2 @t1)) % 0.37/0.60 (define @t4 () (@var "Xx" tptp.c)) % 0.37/0.60 (define @t5 () (_ @t2 @t4)) % 0.37/0.60 (define @t6 () (@list @t2)) % 0.37/0.60 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.60 (define @t8 () (_ tptp.cG @t1)) % 0.37/0.60 (define @t9 () (_ tptp.cF @t8)) % 0.37/0.60 (define @t10 () (@var "Xq" (-> tptp.a Bool))) % 0.37/0.60 (define @t11 () (_ @t10 @t9)) % 0.37/0.60 (define @t12 () (_ tptp.cG @t4)) % 0.37/0.60 (define @t13 () (_ tptp.cF @t12)) % 0.37/0.60 (define @t14 () (_ @t10 @t13)) % 0.37/0.60 (define @t15 () (@list @t10)) % 0.37/0.60 (define @t16 () (forall @t15 (=> @t14 @t11))) % 0.37/0.60 (define @t17 () (=> @t16 @t7)) % 0.37/0.60 (define @t18 () (@list @t4 @t1)) % 0.37/0.60 (define @t19 () (forall @t18 @t17)) % 0.37/0.60 (define @t20 () (@var "Xq" (-> tptp.b Bool))) % 0.37/0.60 (define @t21 () (_ @t20 @t8)) % 0.37/0.60 (define @t22 () (_ @t20 @t12)) % 0.37/0.60 (define @t23 () (@list @t20)) % 0.37/0.60 (define @t24 () (forall @t23 (=> @t22 @t21))) % 0.37/0.60 (define @t25 () (=> @t24 @t7)) % 0.37/0.60 (define @t26 () (forall @t18 @t25)) % 0.37/0.60 (define @t27 () (@var "Xy" tptp.b)) % 0.37/0.60 (define @t28 () (_ @t20 @t27)) % 0.37/0.60 (define @t29 () (@var "Xx" tptp.b)) % 0.37/0.60 (define @t30 () (_ @t20 @t29)) % 0.37/0.60 (define @t31 () (forall @t23 (=> @t30 @t28))) % 0.37/0.60 (define @t32 () (_ tptp.cF @t27)) % 0.37/0.60 (define @t33 () (_ @t10 @t32)) % 0.37/0.60 (define @t34 () (_ tptp.cF @t29)) % 0.37/0.60 (define @t35 () (_ @t10 @t34)) % 0.37/0.60 (define @t36 () (forall @t15 (=> @t35 @t33))) % 0.37/0.60 (define @t37 () (=> @t36 @t31)) % 0.37/0.60 (define @t38 () (@list @t29 @t27)) % 0.37/0.60 (define @t39 () (forall @t38 @t37)) % 0.37/0.60 (define @t40 () (and @t39 @t26)) % 0.37/0.60 (define @t41 () (=> @t40 @t19)) % 0.37/0.60 (define @t42 () (not @t41)) % 0.37/0.60 (define @t43 () (@var "BOUND_VARIABLE_7555" (-> tptp.c Bool))) % 0.37/0.60 (define @t44 () (_ @t43 @t1)) % 0.37/0.60 (define @t45 () (not (_ @t43 @t4))) % 0.37/0.60 (define @t46 () (tptp.cG @t1)) % 0.37/0.60 (define @t47 () (tptp.cF @t46)) % 0.37/0.60 (define @t48 () (_ @t10 @t47)) % 0.37/0.60 (define @t49 () (tptp.cG @t4)) % 0.37/0.60 (define @t50 () (tptp.cF @t49)) % 0.37/0.60 (define @t51 () (_ @t10 @t50)) % 0.37/0.60 (define @t52 () (forall @t15 (or (not @t51) @t48))) % 0.37/0.60 (define @t53 () (not @t52)) % 0.37/0.60 (define @t54 () (or @t53 @t45 @t44)) % 0.37/0.60 (define @t55 () (or @t45 @t44)) % 0.37/0.60 (define @t56 () (or @t53 @t55)) % 0.37/0.60 (define @t57 () (@list @t4 @t1 @t43)) % 0.37/0.60 (define @t58 () (forall @t57 @t56)) % 0.37/0.60 (define @t59 () (@list @t43)) % 0.37/0.60 (define @t60 () (forall @t59 @t56)) % 0.37/0.60 (define @t61 () (forall @t59 @t55)) % 0.37/0.60 (define @t62 () (@list @t2)) % 0.37/0.60 (define @t63 () (or @t53 @t61)) % 0.37/0.60 (define @t64 () (_ @t2 @t1)) % 0.37/0.60 (define @t65 () (_ @t2 @t4)) % 0.37/0.60 (define @t66 () (forall @t6 (or (not @t65) @t64))) % 0.37/0.60 (define @t67 () (not @t5)) % 0.37/0.60 (define @t68 () (or @t67 @t3)) % 0.37/0.60 (define @t69 () (not @t14)) % 0.37/0.60 (define @t70 () (or @t69 @t11)) % 0.37/0.60 (define @t71 () (@var "BOUND_VARIABLE_7524" (-> tptp.c Bool))) % 0.37/0.60 (define @t72 () (_ @t71 @t1)) % 0.37/0.60 (define @t73 () (not (_ @t71 @t4))) % 0.37/0.60 (define @t74 () (_ @t20 @t46)) % 0.37/0.60 (define @t75 () (_ @t20 @t49)) % 0.37/0.60 (define @t76 () (forall @t23 (or (not @t75) @t74))) % 0.37/0.60 (define @t77 () (not @t76)) % 0.37/0.60 (define @t78 () (or @t73 @t72)) % 0.37/0.60 (define @t79 () (or @t77 @t78)) % 0.37/0.60 (define @t80 () (forall (@list @t4 @t1 @t71) @t79)) % 0.37/0.60 (define @t81 () (@list @t71)) % 0.37/0.60 (define @t82 () (forall @t81 @t79)) % 0.37/0.60 (define @t83 () (forall @t81 @t78)) % 0.37/0.60 (define @t84 () (or @t77 @t83)) % 0.37/0.60 (define @t85 () (not @t22)) % 0.37/0.60 (define @t86 () (or @t85 @t21)) % 0.37/0.60 (define @t87 () (@var "BOUND_VARIABLE_7488" (-> tptp.b Bool))) % 0.37/0.60 (define @t88 () (_ @t87 @t27)) % 0.37/0.60 (define @t89 () (not (_ @t87 @t29))) % 0.37/0.60 (define @t90 () (tptp.cF @t27)) % 0.37/0.60 (define @t91 () (_ @t10 @t90)) % 0.37/0.60 (define @t92 () (tptp.cF @t29)) % 0.37/0.60 (define @t93 () (_ @t10 @t92)) % 0.37/0.60 (define @t94 () (forall @t15 (or (not @t93) @t91))) % 0.37/0.60 (define @t95 () (not @t94)) % 0.37/0.60 (define @t96 () (or @t95 @t89 @t88)) % 0.37/0.60 (define @t97 () (or @t89 @t88)) % 0.37/0.60 (define @t98 () (or @t95 @t97)) % 0.37/0.60 (define @t99 () (@list @t29 @t27 @t87)) % 0.37/0.60 (define @t100 () (forall @t99 @t98)) % 0.37/0.60 (define @t101 () (@list @t87)) % 0.37/0.60 (define @t102 () (forall @t101 @t98)) % 0.37/0.60 (define @t103 () (forall @t101 @t97)) % 0.37/0.60 (define @t104 () (or @t95 @t103)) % 0.37/0.60 (define @t105 () (_ @t20 @t27)) % 0.37/0.60 (define @t106 () (_ @t20 @t29)) % 0.37/0.60 (define @t107 () (forall @t23 (or (not @t106) @t105))) % 0.37/0.60 (define @t108 () (not @t30)) % 0.37/0.60 (define @t109 () (or @t108 @t28)) % 0.37/0.60 (define @t110 () (not @t35)) % 0.37/0.60 (define @t111 () (or @t110 @t33)) % 0.37/0.60 (define @t112 () (forall @t57 @t54)) % 0.37/0.60 (define @t113 () (@quantifiers_skolemize @t112 2)) % 0.37/0.60 (define @t114 () (@quantifiers_skolemize @t112 1)) % 0.37/0.60 (define @t115 () (@quantifiers_skolemize @t112 0)) % 0.37/0.60 (define @t116 () (_ @t113 @t114)) % 0.37/0.60 (define @t117 () (_ @t113 @t115)) % 0.37/0.60 (define @t118 () (not @t117)) % 0.37/0.60 (define @t119 () (tptp.cG @t114)) % 0.37/0.60 (define @t120 () (tptp.cG @t115)) % 0.37/0.60 (define @t121 () (forall @t15 (or (not (_ @t10 (tptp.cF @t120))) (_ @t10 (tptp.cF @t119))))) % 0.37/0.60 (define @t122 () (not @t121)) % 0.37/0.60 (define @t123 () (or @t122 @t118 @t116)) % 0.37/0.60 (define @t124 () (@list true)) % 0.37/0.60 (define @t125 () (@list @t123)) % 0.37/0.60 (define @t126 () (forall @t23 (or (not (_ @t20 @t120)) (_ @t20 @t119)))) % 0.37/0.60 (define @t127 () (not @t126)) % 0.37/0.60 (define @t128 () (or @t127 @t118 @t116)) % 0.37/0.60 (define @t129 () (@quantifiers_skolemize @t126 0)) % 0.37/0.60 (define @t130 () (_ @t129 @t119)) % 0.37/0.60 (define @t131 () (_ @t129 @t120)) % 0.37/0.60 (define @t132 () (not @t131)) % 0.37/0.60 (define @t133 () (or @t132 @t130)) % 0.37/0.60 (define @t134 () (@list @t133)) % 0.37/0.60 (define @t135 () (or @t122 @t132 @t130)) % 0.37/0.60 (define @t136 () (not @t135)) % 0.37/0.60 (define @t137 () (forall @t99 @t96)) % 0.37/0.60 (assume @p1 @t42) % 0.37/0.60 (assume @p2 true) % 0.37/0.60 (step @p3 :rule aci_norm :args ((= @t56 @t54))) % 0.37/0.60 (step @p4 :rule cong :premises (@p3) :args (@t58)) % 0.37/0.60 (step @p5 :rule quant-merge-prenex :args ((= (forall @t18 @t60) @t58))) % 0.37/0.60 (step @p6 :rule alpha_equiv :args (@t61 (@list @t43) @t62)) % 0.37/0.60 (step @p7 :rule refl :args (@t53)) % 0.37/0.60 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t63)) % 0.37/0.60 (step @p9 :rule quant-miniscope-or :args ((= @t60 @t63))) % 0.37/0.60 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.60 (step @p11 :rule symm :premises (@p10)) % 0.37/0.60 (step @p12 :rule cong :premises (@p11) :args ((forall @t18 (or @t53 @t66)))) % 0.37/0.60 (step @p13 :rule trans :premises (@p12 @p5)) % 0.37/0.60 (step @p14 :rule trans :premises (@p13 @p4)) % 0.37/0.60 (step @p15 :rule bool-impl-elim :args (@t52 @t66)) % 0.37/0.60 (step @p16 :rule cong :premises (@p15) :args ((forall @t18 (=> @t52 @t66)))) % 0.37/0.60 (step @p17 :rule trans :premises (@p16 @p14)) % 0.37/0.60 (step @p18 :rule refl :args (@t64)) % 0.37/0.60 (step @p19 :rule refl :args (@t3)) % 0.37/0.60 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t3 @t64))) % 0.37/0.60 (step @p21 :rule symm :premises (@p20)) % 0.37/0.60 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.37/0.60 (step @p23 :rule refl :args (@t65)) % 0.37/0.60 (step @p24 :rule refl :args (@t5)) % 0.37/0.60 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t5 @t65))) % 0.37/0.60 (step @p26 :rule symm :premises (@p25)) % 0.37/0.60 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.37/0.60 (step @p28 :rule cong :premises (@p27) :args (@t67)) % 0.37/0.60 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t68)) % 0.37/0.60 (step @p30 :rule cong :premises (@p29) :args ((forall @t6 @t68))) % 0.37/0.60 (step @p31 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.60 (step @p32 :rule cong :premises (@p31) :args (@t7)) % 0.37/0.60 (step @p33 :rule trans :premises (@p32 @p30)) % 0.37/0.60 (step @p34 :rule refl :args ((_ @t10 @t9))) % 0.37/0.60 (step @p35 :rule refl :args ((tptp.cF @t8))) % 0.37/0.60 (step @p36 :rule refl :args (@t46)) % 0.37/0.60 (step @p37 :rule cong :premises (@p36) :args (@t47)) % 0.37/0.60 (step @p38 :rule trans :premises (@p37 @p35)) % 0.37/0.60 (step @p39 :rule cong :premises (@p38) :args (@t48)) % 0.37/0.60 (step @p40 :rule trans :premises (@p39 @p34)) % 0.37/0.60 (step @p41 :rule refl :args (@t10)) % 0.37/0.60 (step @p42 :rule ho_cong :premises (@p41 @p38)) % 0.37/0.60 (step @p43 :rule cong :premises (@p42 @p40) :args ((= (_ @t10 @t47) @t48))) % 0.37/0.60 (step @p44 :rule symm :premises (@p43)) % 0.37/0.60 (step @p45 :rule refl :args (@t11)) % 0.37/0.60 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.37/0.60 (step @p47 :rule refl :args (tptp.cF)) % 0.37/0.60 (step @p48 :rule ho_cong :premises (@p47 @p36)) % 0.37/0.60 (step @p49 :rule cong :premises (@p48 @p38) :args ((= (_ tptp.cF @t46) @t47))) % 0.37/0.60 (step @p50 :rule symm :premises (@p49)) % 0.37/0.60 (step @p51 :rule refl :args (@t9)) % 0.37/0.60 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.37/0.60 (step @p53 :rule refl :args (@t8)) % 0.37/0.60 (step @p54 :rule cong :premises (@p53 @p36) :args ((= @t8 @t46))) % 0.37/0.60 (step @p55 :rule symm :premises (@p54)) % 0.37/0.60 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.37/0.60 (step @p57 :rule ho_cong :premises (@p47 @p56)) % 0.37/0.60 (step @p58 :rule trans :premises (@p57 @p52)) % 0.37/0.60 (step @p59 :rule ho_cong :premises (@p41 @p58)) % 0.37/0.60 (step @p60 :rule trans :premises (@p59 @p46)) % 0.37/0.60 (step @p61 :rule refl :args ((_ @t10 @t13))) % 0.37/0.60 (step @p62 :rule refl :args ((tptp.cF @t12))) % 0.37/0.60 (step @p63 :rule refl :args (@t49)) % 0.37/0.60 (step @p64 :rule cong :premises (@p63) :args (@t50)) % 0.37/0.60 (step @p65 :rule trans :premises (@p64 @p62)) % 0.37/0.60 (step @p66 :rule cong :premises (@p65) :args (@t51)) % 0.37/0.60 (step @p67 :rule trans :premises (@p66 @p61)) % 0.37/0.60 (step @p68 :rule ho_cong :premises (@p41 @p65)) % 0.37/0.60 (step @p69 :rule cong :premises (@p68 @p67) :args ((= (_ @t10 @t50) @t51))) % 0.37/0.60 (step @p70 :rule symm :premises (@p69)) % 0.37/0.60 (step @p71 :rule refl :args (@t14)) % 0.37/0.60 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.37/0.60 (step @p73 :rule ho_cong :premises (@p47 @p63)) % 0.37/0.60 (step @p74 :rule cong :premises (@p73 @p65) :args ((= (_ tptp.cF @t49) @t50))) % 0.37/0.60 (step @p75 :rule symm :premises (@p74)) % 0.37/0.60 (step @p76 :rule refl :args (@t13)) % 0.37/0.60 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.37/0.60 (step @p78 :rule refl :args (@t12)) % 0.37/0.60 (step @p79 :rule cong :premises (@p78 @p63) :args ((= @t12 @t49))) % 0.37/0.60 (step @p80 :rule symm :premises (@p79)) % 0.37/0.60 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.37/0.60 (step @p82 :rule ho_cong :premises (@p47 @p81)) % 0.37/0.60 (step @p83 :rule trans :premises (@p82 @p77)) % 0.37/0.60 (step @p84 :rule ho_cong :premises (@p41 @p83)) % 0.37/0.60 (step @p85 :rule trans :premises (@p84 @p72)) % 0.37/0.60 (step @p86 :rule cong :premises (@p85) :args (@t69)) % 0.37/0.60 (step @p87 :rule nary_cong :premises (@p86 @p60) :args (@t70)) % 0.37/0.60 (step @p88 :rule cong :premises (@p87) :args ((forall @t15 @t70))) % 0.37/0.60 (step @p89 :rule bool-impl-elim :args (@t14 @t11)) % 0.37/0.60 (step @p90 :rule cong :premises (@p89) :args (@t16)) % 0.37/0.60 (step @p91 :rule trans :premises (@p90 @p88)) % 0.37/0.60 (step @p92 :rule cong :premises (@p91 @p33) :args (@t17)) % 0.37/0.60 (step @p93 :rule cong :premises (@p92) :args (@t19)) % 0.37/0.60 (step @p94 :rule trans :premises (@p93 @p17)) % 0.37/0.60 (step @p95 :rule aci_norm :args ((= @t79 (or @t77 @t73 @t72)))) % 0.37/0.60 (step @p96 :rule cong :premises (@p95) :args (@t80)) % 0.37/0.60 (step @p97 :rule quant-merge-prenex :args ((= (forall @t18 @t82) @t80))) % 0.37/0.60 (step @p98 :rule alpha_equiv :args (@t83 (@list @t71) @t62)) % 0.37/0.60 (step @p99 :rule refl :args (@t77)) % 0.37/0.60 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t84)) % 0.37/0.60 (step @p101 :rule quant-miniscope-or :args ((= @t82 @t84))) % 0.37/0.60 (step @p102 :rule trans :premises (@p101 @p100)) % 0.37/0.60 (step @p103 :rule symm :premises (@p102)) % 0.37/0.60 (step @p104 :rule cong :premises (@p103) :args ((forall @t18 (or @t77 @t66)))) % 0.37/0.60 (step @p105 :rule trans :premises (@p104 @p97)) % 0.37/0.60 (step @p106 :rule trans :premises (@p105 @p96)) % 0.37/0.60 (step @p107 :rule bool-impl-elim :args (@t76 @t66)) % 0.37/0.60 (step @p108 :rule cong :premises (@p107) :args ((forall @t18 (=> @t76 @t66)))) % 0.37/0.60 (step @p109 :rule trans :premises (@p108 @p106)) % 0.37/0.60 (step @p110 :rule refl :args ((_ @t20 @t8))) % 0.37/0.60 (step @p111 :rule cong :premises (@p36) :args (@t74)) % 0.37/0.60 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.60 (step @p113 :rule refl :args (@t20)) % 0.37/0.60 (step @p114 :rule ho_cong :premises (@p113 @p36)) % 0.37/0.60 (step @p115 :rule cong :premises (@p114 @p112) :args ((= (_ @t20 @t46) @t74))) % 0.37/0.60 (step @p116 :rule symm :premises (@p115)) % 0.37/0.60 (step @p117 :rule refl :args (@t21)) % 0.37/0.60 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.37/0.60 (step @p119 :rule ho_cong :premises (@p113 @p56)) % 0.37/0.60 (step @p120 :rule trans :premises (@p119 @p118)) % 0.37/0.60 (step @p121 :rule refl :args ((_ @t20 @t12))) % 0.37/0.60 (step @p122 :rule cong :premises (@p63) :args (@t75)) % 0.37/0.60 (step @p123 :rule trans :premises (@p122 @p121)) % 0.37/0.60 (step @p124 :rule ho_cong :premises (@p113 @p63)) % 0.37/0.60 (step @p125 :rule cong :premises (@p124 @p123) :args ((= (_ @t20 @t49) @t75))) % 0.37/0.60 (step @p126 :rule symm :premises (@p125)) % 0.37/0.60 (step @p127 :rule refl :args (@t22)) % 0.37/0.60 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.37/0.60 (step @p129 :rule ho_cong :premises (@p113 @p81)) % 0.37/0.60 (step @p130 :rule trans :premises (@p129 @p128)) % 0.37/0.60 (step @p131 :rule cong :premises (@p130) :args (@t85)) % 0.37/0.60 (step @p132 :rule nary_cong :premises (@p131 @p120) :args (@t86)) % 0.37/0.60 (step @p133 :rule cong :premises (@p132) :args ((forall @t23 @t86))) % 0.37/0.60 (step @p134 :rule bool-impl-elim :args (@t22 @t21)) % 0.37/0.60 (step @p135 :rule cong :premises (@p134) :args (@t24)) % 0.37/0.60 (step @p136 :rule trans :premises (@p135 @p133)) % 0.37/0.60 (step @p137 :rule cong :premises (@p136 @p33) :args (@t25)) % 0.37/0.60 (step @p138 :rule cong :premises (@p137) :args (@t26)) % 0.37/0.60 (step @p139 :rule trans :premises (@p138 @p109)) % 0.37/0.60 (step @p140 :rule aci_norm :args ((= @t98 @t96))) % 0.37/0.60 (step @p141 :rule cong :premises (@p140) :args (@t100)) % 0.37/0.60 (step @p142 :rule quant-merge-prenex :args ((= (forall @t38 @t102) @t100))) % 0.37/0.60 (step @p143 :rule alpha_equiv :args (@t103 (@list @t87) (@list @t20))) % 0.37/0.60 (step @p144 :rule refl :args (@t95)) % 0.37/0.60 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t104)) % 0.37/0.60 (step @p146 :rule quant-miniscope-or :args ((= @t102 @t104))) % 0.37/0.60 (step @p147 :rule trans :premises (@p146 @p145)) % 0.37/0.60 (step @p148 :rule symm :premises (@p147)) % 0.37/0.60 (step @p149 :rule cong :premises (@p148) :args ((forall @t38 (or @t95 @t107)))) % 0.37/0.60 (step @p150 :rule trans :premises (@p149 @p142)) % 0.37/0.60 (step @p151 :rule trans :premises (@p150 @p141)) % 0.37/0.60 (step @p152 :rule bool-impl-elim :args (@t94 @t107)) % 0.37/0.60 (step @p153 :rule cong :premises (@p152) :args ((forall @t38 (=> @t94 @t107)))) % 0.37/0.60 (step @p154 :rule trans :premises (@p153 @p151)) % 0.37/0.60 (step @p155 :rule refl :args (@t105)) % 0.37/0.60 (step @p156 :rule refl :args (@t28)) % 0.37/0.60 (step @p157 :rule cong :premises (@p156 @p155) :args ((= @t28 @t105))) % 0.37/0.60 (step @p158 :rule symm :premises (@p157)) % 0.37/0.60 (step @p159 :rule eq_resolve :premises (@p156 @p158)) % 0.37/0.60 (step @p160 :rule refl :args (@t106)) % 0.37/0.60 (step @p161 :rule refl :args (@t30)) % 0.37/0.60 (step @p162 :rule cong :premises (@p161 @p160) :args ((= @t30 @t106))) % 0.37/0.60 (step @p163 :rule symm :premises (@p162)) % 0.37/0.60 (step @p164 :rule eq_resolve :premises (@p161 @p163)) % 0.37/0.60 (step @p165 :rule cong :premises (@p164) :args (@t108)) % 0.37/0.60 (step @p166 :rule nary_cong :premises (@p165 @p159) :args (@t109)) % 0.37/0.60 (step @p167 :rule cong :premises (@p166) :args ((forall @t23 @t109))) % 0.37/0.60 (step @p168 :rule bool-impl-elim :args (@t30 @t28)) % 0.37/0.60 (step @p169 :rule cong :premises (@p168) :args (@t31)) % 0.37/0.60 (step @p170 :rule trans :premises (@p169 @p167)) % 0.37/0.60 (step @p171 :rule refl :args ((_ @t10 @t32))) % 0.37/0.60 (step @p172 :rule refl :args (@t90)) % 0.37/0.60 (step @p173 :rule cong :premises (@p172) :args (@t91)) % 0.37/0.60 (step @p174 :rule trans :premises (@p173 @p171)) % 0.37/0.60 (step @p175 :rule ho_cong :premises (@p41 @p172)) % 0.37/0.60 (step @p176 :rule cong :premises (@p175 @p174) :args ((= (_ @t10 @t90) @t91))) % 0.37/0.60 (step @p177 :rule symm :premises (@p176)) % 0.37/0.60 (step @p178 :rule refl :args (@t33)) % 0.37/0.60 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.37/0.60 (step @p180 :rule refl :args (@t32)) % 0.37/0.60 (step @p181 :rule cong :premises (@p180 @p172) :args ((= @t32 @t90))) % 0.37/0.60 (step @p182 :rule symm :premises (@p181)) % 0.37/0.60 (step @p183 :rule eq_resolve :premises (@p180 @p182)) % 0.37/0.60 (step @p184 :rule ho_cong :premises (@p41 @p183)) % 0.37/0.60 (step @p185 :rule trans :premises (@p184 @p179)) % 0.37/0.60 (step @p186 :rule refl :args ((_ @t10 @t34))) % 0.37/0.60 (step @p187 :rule refl :args (@t92)) % 0.37/0.60 (step @p188 :rule cong :premises (@p187) :args (@t93)) % 0.37/0.60 (step @p189 :rule trans :premises (@p188 @p186)) % 0.37/0.60 (step @p190 :rule ho_cong :premises (@p41 @p187)) % 0.37/0.60 (step @p191 :rule cong :premises (@p190 @p189) :args ((= (_ @t10 @t92) @t93))) % 0.37/0.60 (step @p192 :rule symm :premises (@p191)) % 0.37/0.60 (step @p193 :rule refl :args (@t35)) % 0.37/0.60 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.37/0.60 (step @p195 :rule refl :args (@t34)) % 0.37/0.60 (step @p196 :rule cong :premises (@p195 @p187) :args ((= @t34 @t92))) % 0.37/0.60 (step @p197 :rule symm :premises (@p196)) % 0.37/0.60 (step @p198 :rule eq_resolve :premises (@p195 @p197)) % 0.37/0.60 (step @p199 :rule ho_cong :premises (@p41 @p198)) % 0.37/0.60 (step @p200 :rule trans :premises (@p199 @p194)) % 0.37/0.60 (step @p201 :rule cong :premises (@p200) :args (@t110)) % 0.37/0.60 (step @p202 :rule nary_cong :premises (@p201 @p185) :args (@t111)) % 0.37/0.60 (step @p203 :rule cong :premises (@p202) :args ((forall @t15 @t111))) % 0.37/0.60 (step @p204 :rule bool-impl-elim :args (@t35 @t33)) % 0.37/0.60 (step @p205 :rule cong :premises (@p204) :args (@t36)) % 0.37/0.60 (step @p206 :rule trans :premises (@p205 @p203)) % 0.37/0.60 (step @p207 :rule cong :premises (@p206 @p170) :args (@t37)) % 0.37/0.60 (step @p208 :rule cong :premises (@p207) :args (@t39)) % 0.37/0.60 (step @p209 :rule trans :premises (@p208 @p154)) % 0.37/0.60 (step @p210 :rule nary_cong :premises (@p209 @p139) :args (@t40)) % 0.37/0.60 (step @p211 :rule cong :premises (@p210 @p94) :args (@t41)) % 0.37/0.60 (step @p212 :rule cong :premises (@p211) :args (@t42)) % 0.37/0.60 (step @p213 :rule eq_resolve :premises (@p1 @p212)) % 0.37/0.60 (step @p214 :rule not_implies_elim1 :premises (@p213)) % 0.37/0.60 (step @p215 :rule and_elim :premises (@p214) :args (0)) % 0.37/0.61 (step @p216 :rule and_elim :premises (@p214) :args (1)) % 0.37/0.61 (step @p217 :rule instantiate :premises (@p216) :args ((@list @t115 @t114 @t113))) % 0.37/0.61 (step @p218 :rule not_implies_elim2 :premises (@p213)) % 0.37/0.61 (step @p219 :rule skolemize :premises (@p218)) % 0.37/0.61 (step @p220 :rule cnf_or_neg :args (@t123 2)) % 0.37/0.61 (step @p221 :rule chain_m_resolution :premises (@p220 @p219) :args ((not @t116) @t124 @t125)) % 0.37/0.61 (step @p222 :rule bool-double-not-elim :args (@t117)) % 0.37/0.61 (step @p223 :rule refl :args (@t123)) % 0.37/0.61 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t123 (not @t118)))) % 0.37/0.61 (step @p225 :rule cnf_or_neg :args (@t123 1)) % 0.37/0.61 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 0.37/0.61 (step @p227 :rule reordering :premises (@p226) :args ((or @t117 @t123))) % 0.37/0.61 (step @p228 :rule chain_m_resolution :premises (@p227 @p219) :args (@t117 @t124 @t125)) % 0.37/0.61 (step @p229 :rule cnf_or_pos :args (@t128)) % 0.37/0.61 (step @p230 :rule reordering :premises (@p229) :args ((or @t118 @t116 @t127 (not @t128)))) % 0.37/0.61 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p221 @p217) :args (@t127 (@list false true false) (@list @t117 @t116 @t128))) % 0.37/0.61 (step @p232 :rule skolemize :premises (@p231)) % 0.37/0.61 (step @p233 :rule cnf_or_neg :args (@t133 1)) % 0.37/0.61 (step @p234 :rule chain_m_resolution :premises (@p233 @p232) :args ((not @t130) @t124 @t134)) % 0.37/0.61 (step @p235 :rule bool-double-not-elim :args (@t131)) % 0.37/0.61 (step @p236 :rule refl :args (@t133)) % 0.37/0.61 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or @t133 (not @t132)))) % 0.37/0.61 (step @p238 :rule cnf_or_neg :args (@t133 0)) % 0.37/0.61 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 0.37/0.61 (step @p240 :rule reordering :premises (@p239) :args ((or @t131 @t133))) % 0.37/0.61 (step @p241 :rule chain_m_resolution :premises (@p240 @p232) :args (@t131 @t124 @t134)) % 0.37/0.61 (step @p242 :rule bool-double-not-elim :args (@t121)) % 0.37/0.61 (step @p243 :rule nary_cong :premises (@p223 @p242) :args ((or @t123 (not @t122)))) % 0.37/0.61 (step @p244 :rule cnf_or_neg :args (@t123 0)) % 0.37/0.61 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 0.37/0.61 (step @p246 :rule reordering :premises (@p245) :args ((or @t121 @t123))) % 0.37/0.61 (step @p247 :rule chain_m_resolution :premises (@p246 @p219) :args (@t121 @t124 @t125)) % 0.37/0.61 (step @p248 :rule cnf_or_pos :args (@t135)) % 0.37/0.61 (step @p249 :rule reordering :premises (@p248) :args ((or @t122 @t132 @t130 @t136))) % 0.37/0.61 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p241 @p234) :args (@t136 (@list false false true) (@list @t121 @t131 @t130))) % 0.37/0.61 (assume-push @p257 @t137) % 0.37/0.61 (step @p252 :rule instantiate :premises (@p215) :args ((@list @t120 @t119 @t129))) % 0.37/0.61 (step-pop @p258 :rule scope :premises (@p252)) % 0.37/0.61 (step @p253 :rule process_scope :premises (@p258) :args (@t135)) % 0.37/0.61 (step @p255 :rule implies_elim :premises (@p253)) % 0.37/0.61 (step @p256 false :rule chain_m_resolution :premises (@p255 @p250 @p215) :args (false (@list true false) (@list @t135 @t137))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------