%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV096^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 0.71s 0.93s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV096^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:12:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.71/0.93 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.71/0.93 % SZS status Theorem % 0.71/0.93 % SZS output start Proof % 0.71/0.93 ( % 0.71/0.93 (declare-sort tptp.b 0) % 0.71/0.93 (declare-sort tptp.a 0) % 0.71/0.93 (declare-const tptp.cS (-> tptp.b tptp.b Bool)) % 0.71/0.93 (declare-const tptp.f (-> tptp.a tptp.b Bool)) % 0.71/0.93 (declare-const tptp.cR (-> tptp.a tptp.a Bool)) % 0.71/0.93 (declare-const tptp.z tptp.a) % 0.71/0.93 (define @t1 () (@var "Xx" tptp.a)) % 0.71/0.93 (define @t2 () (_ tptp.cR @t1)) % 0.71/0.93 (define @t3 () (_ @t2 tptp.z)) % 0.71/0.93 (define @t4 () (@var "Xy" tptp.b)) % 0.71/0.93 (define @t5 () (@var "Xw" tptp.a)) % 0.71/0.93 (define @t6 () (not (_ (_ tptp.f @t5) @t4))) % 0.71/0.93 (define @t7 () (and @t6 @t3)) % 0.71/0.93 (define @t8 () (_ tptp.f @t1)) % 0.71/0.93 (define @t9 () (_ @t8 @t4)) % 0.71/0.93 (define @t10 () (@list @t5)) % 0.71/0.93 (define @t11 () (forall @t10 (or @t9 @t7))) % 0.71/0.93 (define @t12 () (@list @t1)) % 0.71/0.93 (define @t13 () (exists @t12 @t11)) % 0.71/0.93 (define @t14 () (@list @t4)) % 0.71/0.93 (define @t15 () (forall @t14 @t13)) % 0.71/0.93 (define @t16 () (@var "Xx2" tptp.a)) % 0.71/0.93 (define @t17 () (@var "Xx1" tptp.a)) % 0.71/0.93 (define @t18 () (_ (_ tptp.cR @t17) @t16)) % 0.71/0.93 (define @t19 () (_ (_ tptp.f @t16) @t4)) % 0.71/0.93 (define @t20 () (_ (_ tptp.f @t17) @t4)) % 0.71/0.93 (define @t21 () (and @t20 @t19)) % 0.71/0.93 (define @t22 () (@list @t17 @t16 @t4)) % 0.71/0.93 (define @t23 () (forall @t22 (=> @t21 @t18))) % 0.71/0.93 (define @t24 () (@var "Xy2" tptp.b)) % 0.71/0.93 (define @t25 () (@var "Xy1" tptp.b)) % 0.71/0.93 (define @t26 () (_ (_ tptp.cS @t25) @t24)) % 0.71/0.93 (define @t27 () (_ @t8 @t24)) % 0.71/0.93 (define @t28 () (_ @t8 @t25)) % 0.71/0.93 (define @t29 () (and @t28 @t27)) % 0.71/0.93 (define @t30 () (@list @t1 @t25 @t24)) % 0.71/0.93 (define @t31 () (forall @t30 (=> @t29 @t26))) % 0.71/0.93 (define @t32 () (exists @t14 @t9)) % 0.71/0.93 (define @t33 () (forall @t12 @t32)) % 0.71/0.93 (define @t34 () (and @t33 @t31 @t23)) % 0.71/0.93 (define @t35 () (=> @t34 @t15)) % 0.71/0.93 (define @t36 () (_ @t2 @t1)) % 0.71/0.93 (define @t37 () (forall @t12 @t36)) % 0.71/0.93 (define @t38 () (@var "Xu" tptp.a)) % 0.71/0.93 (define @t39 () (_ tptp.cR @t38)) % 0.71/0.93 (define @t40 () (_ @t39 @t5)) % 0.71/0.93 (define @t41 () (@var "Xv" tptp.a)) % 0.71/0.93 (define @t42 () (_ (_ tptp.cR @t5) @t41)) % 0.71/0.93 (define @t43 () (_ @t39 @t41)) % 0.71/0.93 (define @t44 () (and @t43 @t42)) % 0.71/0.93 (define @t45 () (@list @t38 @t41 @t5)) % 0.71/0.93 (define @t46 () (forall @t45 (=> @t44 @t40))) % 0.71/0.93 (define @t47 () (and @t46 @t37)) % 0.71/0.93 (define @t48 () (=> @t47 @t35)) % 0.71/0.93 (define @t49 () (not @t48)) % 0.71/0.93 (define @t50 () (@var "BOUND_VARIABLE_7562" tptp.a)) % 0.71/0.93 (define @t51 () (tptp.cR @t50 tptp.z)) % 0.71/0.93 (define @t52 () (@list @t50)) % 0.71/0.93 (define @t53 () (forall @t52 (not @t51))) % 0.71/0.93 (define @t54 () (not @t53)) % 0.71/0.93 (define @t55 () (@var "BOUND_VARIABLE_7589" tptp.a)) % 0.71/0.93 (define @t56 () (not (tptp.f @t55 @t4))) % 0.71/0.93 (define @t57 () (and @t56 @t54)) % 0.71/0.93 (define @t58 () (@var "BOUND_VARIABLE_7555" tptp.a)) % 0.71/0.93 (define @t59 () (tptp.f @t58 @t4)) % 0.71/0.93 (define @t60 () (@list @t58)) % 0.71/0.93 (define @t61 () (forall @t60 (not @t59))) % 0.71/0.93 (define @t62 () (not @t61)) % 0.71/0.93 (define @t63 () (or @t62 @t57)) % 0.71/0.93 (define @t64 () (forall (@list @t4 @t55) @t63)) % 0.71/0.93 (define @t65 () (@list @t55)) % 0.71/0.93 (define @t66 () (forall @t65 @t63)) % 0.71/0.93 (define @t67 () (forall @t65 @t54)) % 0.71/0.93 (define @t68 () (forall @t65 @t56)) % 0.71/0.93 (define @t69 () (@var "BOUND_VARIABLE_7530" tptp.a)) % 0.71/0.93 (define @t70 () (@list @t69)) % 0.71/0.93 (define @t71 () (and @t68 @t67)) % 0.71/0.93 (define @t72 () (forall @t65 @t57)) % 0.71/0.93 (define @t73 () (or @t62 @t72)) % 0.71/0.93 (define @t74 () (tptp.f @t69 @t4)) % 0.71/0.93 (define @t75 () (@list @t69)) % 0.71/0.93 (define @t76 () (forall @t75 (not @t74))) % 0.71/0.93 (define @t77 () (not @t76)) % 0.71/0.93 (define @t78 () (or @t77 @t53)) % 0.71/0.93 (define @t79 () (_ (_ tptp.cR @t50) tptp.z)) % 0.71/0.93 (define @t80 () (not @t79)) % 0.71/0.93 (define @t81 () (forall @t52 @t80)) % 0.71/0.93 (define @t82 () (or @t77 @t81)) % 0.71/0.93 (define @t83 () (forall @t52 (or @t77 @t80))) % 0.71/0.93 (define @t84 () (_ (_ tptp.f @t58) @t4)) % 0.71/0.93 (define @t85 () (not @t84)) % 0.71/0.93 (define @t86 () (forall @t60 @t85)) % 0.71/0.93 (define @t87 () (or @t77 (not @t3))) % 0.71/0.93 (define @t88 () (forall @t12 @t87)) % 0.71/0.93 (define @t89 () (@list @t1)) % 0.71/0.93 (define @t90 () (not @t9)) % 0.71/0.93 (define @t91 () (forall @t12 @t90)) % 0.71/0.93 (define @t92 () (and @t91 @t88)) % 0.71/0.93 (define @t93 () (and @t76 @t3)) % 0.71/0.93 (define @t94 () (or @t9 @t93)) % 0.71/0.93 (define @t95 () (forall @t12 (not @t94))) % 0.71/0.93 (define @t96 () (not @t95)) % 0.71/0.93 (define @t97 () (_ (_ tptp.f @t69) @t4)) % 0.71/0.93 (define @t98 () (not @t97)) % 0.71/0.93 (define @t99 () (forall @t75 @t98)) % 0.71/0.93 (define @t100 () (forall @t10 @t3)) % 0.71/0.93 (define @t101 () (forall @t10 @t6)) % 0.71/0.93 (define @t102 () (and @t101 @t100)) % 0.71/0.93 (define @t103 () (forall @t10 @t7)) % 0.71/0.93 (define @t104 () (or @t9 @t103)) % 0.71/0.93 (define @t105 () (tptp.cR @t17 @t16)) % 0.71/0.93 (define @t106 () (tptp.f @t16 @t4)) % 0.71/0.93 (define @t107 () (not @t19)) % 0.71/0.93 (define @t108 () (tptp.f @t17 @t4)) % 0.71/0.93 (define @t109 () (not @t20)) % 0.71/0.93 (define @t110 () (or @t109 @t107 @t18)) % 0.71/0.93 (define @t111 () (tptp.cS @t25 @t24)) % 0.71/0.93 (define @t112 () (tptp.f @t1 @t24)) % 0.71/0.93 (define @t113 () (not @t27)) % 0.71/0.93 (define @t114 () (tptp.f @t1 @t25)) % 0.71/0.93 (define @t115 () (not @t28)) % 0.71/0.93 (define @t116 () (or @t115 @t113 @t26)) % 0.71/0.93 (define @t117 () (tptp.f @t1 @t4)) % 0.71/0.93 (define @t118 () (forall @t14 @t90)) % 0.71/0.93 (define @t119 () (not @t118)) % 0.71/0.93 (define @t120 () (tptp.cR @t1 @t1)) % 0.71/0.93 (define @t121 () (tptp.cR @t38 @t5)) % 0.71/0.93 (define @t122 () (tptp.cR @t5 @t41)) % 0.71/0.93 (define @t123 () (not @t42)) % 0.71/0.93 (define @t124 () (tptp.cR @t38 @t41)) % 0.71/0.93 (define @t125 () (not @t43)) % 0.71/0.93 (define @t126 () (or @t125 @t123 @t40)) % 0.71/0.93 (define @t127 () (@quantifiers_skolemize @t64 0)) % 0.71/0.93 (define @t128 () (@quantifiers_skolemize @t64 1)) % 0.71/0.93 (define @t129 () (tptp.f @t128 @t127)) % 0.71/0.93 (define @t130 () (not @t129)) % 0.71/0.93 (define @t131 () (and @t130 @t54)) % 0.71/0.93 (define @t132 () (forall @t60 (not (tptp.f @t58 @t127)))) % 0.71/0.93 (define @t133 () (not @t132)) % 0.71/0.93 (define @t134 () (or @t133 @t131)) % 0.71/0.93 (define @t135 () (@list true)) % 0.71/0.93 (define @t136 () (@list @t134)) % 0.71/0.93 (define @t137 () (@list tptp.z)) % 0.71/0.93 (define @t138 () (tptp.cR tptp.z tptp.z)) % 0.71/0.93 (assume @p1 @t49) % 0.71/0.93 (assume @p2 true) % 0.71/0.93 (step @p3 :rule quant-merge-prenex :args ((= (forall @t14 @t66) @t64))) % 0.71/0.93 (step @p4 :rule quant-unused-vars :args ((= @t67 @t54))) % 0.71/0.93 (step @p5 :rule alpha_equiv :args (@t68 (@list @t55) @t70)) % 0.71/0.93 (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t71)) % 0.71/0.93 (step @p7 :rule quant-miniscope-and :args ((= @t72 @t71))) % 0.71/0.93 (step @p8 :rule trans :premises (@p7 @p6)) % 0.71/0.93 (step @p9 :rule refl :args (@t62)) % 0.71/0.93 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t73)) % 0.71/0.93 (step @p11 :rule quant-miniscope-or :args ((= @t66 @t73))) % 0.71/0.93 (step @p12 :rule trans :premises (@p11 @p10)) % 0.71/0.93 (step @p13 :rule symm :premises (@p12)) % 0.71/0.93 (step @p14 :rule cong :premises (@p13) :args ((forall @t14 (or @t62 (and @t76 @t54))))) % 0.71/0.93 (step @p15 :rule trans :premises (@p14 @p3)) % 0.71/0.93 (step @p16 :rule refl :args (@t54)) % 0.71/0.93 (step @p17 :rule bool-double-not-elim :args (@t76)) % 0.71/0.93 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((and (not @t77) @t54))) % 0.71/0.93 (step @p19 :rule bool-or-de-morgan :args (@t77 @t53 false)) % 0.71/0.93 (step @p20 :rule trans :premises (@p19 @p18)) % 0.71/0.93 (step @p21 :rule nary_cong :premises (@p9 @p20) :args ((or @t62 (not @t78)))) % 0.71/0.93 (step @p22 :rule bool-and-de-morgan :args (@t61 @t78 true)) % 0.71/0.93 (step @p23 :rule trans :premises (@p22 @p21)) % 0.71/0.93 (step @p24 :rule cong :premises (@p23) :args ((forall @t14 (not (and @t61 @t78))))) % 0.71/0.93 (step @p25 :rule trans :premises (@p24 @p15)) % 0.71/0.93 (step @p26 :rule refl :args (@t51)) % 0.71/0.93 (step @p27 :rule refl :args (@t79)) % 0.71/0.93 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t79 @t51))) % 0.71/0.93 (step @p29 :rule symm :premises (@p28)) % 0.71/0.93 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.71/0.93 (step @p31 :rule cong :premises (@p30) :args (@t80)) % 0.71/0.93 (step @p32 :rule cong :premises (@p31) :args (@t81)) % 0.71/0.93 (step @p33 :rule refl :args (@t77)) % 0.71/0.93 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t82)) % 0.71/0.93 (step @p35 :rule quant-miniscope-or :args ((= @t83 @t82))) % 0.71/0.93 (step @p36 :rule trans :premises (@p35 @p34)) % 0.71/0.93 (step @p37 :rule refl :args (@t59)) % 0.71/0.93 (step @p38 :rule refl :args (@t84)) % 0.71/0.93 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t84 @t59))) % 0.71/0.93 (step @p40 :rule symm :premises (@p39)) % 0.71/0.93 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.71/0.93 (step @p42 :rule cong :premises (@p41) :args (@t85)) % 0.71/0.93 (step @p43 :rule cong :premises (@p42) :args (@t86)) % 0.71/0.93 (step @p44 :rule nary_cong :premises (@p43 @p36) :args ((and @t86 @t83))) % 0.71/0.93 (step @p45 :rule alpha_equiv :args (@t88 @t89 (@list @t50))) % 0.71/0.93 (step @p46 :rule alpha_equiv :args (@t91 @t89 (@list @t58))) % 0.71/0.93 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t92)) % 0.71/0.93 (step @p48 :rule quant-miniscope-and :args ((= (forall @t12 (and @t90 @t87)) @t92))) % 0.71/0.93 (step @p49 :rule trans :premises (@p48 @p47)) % 0.71/0.93 (step @p50 :rule trans :premises (@p49 @p44)) % 0.71/0.93 (step @p51 :rule bool-and-de-morgan :args (@t76 @t3 true)) % 0.71/0.93 (step @p52 :rule refl :args (@t90)) % 0.71/0.93 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((and @t90 (not @t93)))) % 0.71/0.93 (step @p54 :rule bool-or-de-morgan :args (@t9 @t93 false)) % 0.71/0.93 (step @p55 :rule trans :premises (@p54 @p53)) % 0.71/0.93 (step @p56 :rule cong :premises (@p55) :args (@t95)) % 0.71/0.93 (step @p57 :rule trans :premises (@p56 @p50)) % 0.71/0.93 (step @p58 :rule cong :premises (@p57) :args (@t96)) % 0.71/0.93 (step @p59 :rule exists-elim :args ((= (exists @t12 @t94) @t96))) % 0.71/0.93 (step @p60 :rule trans :premises (@p59 @p58)) % 0.71/0.93 (step @p61 :rule refl :args (@t3)) % 0.71/0.93 (step @p62 :rule refl :args (@t74)) % 0.71/0.93 (step @p63 :rule refl :args (@t97)) % 0.71/0.93 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t97 @t74))) % 0.71/0.93 (step @p65 :rule symm :premises (@p64)) % 0.71/0.93 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.71/0.93 (step @p67 :rule cong :premises (@p66) :args (@t98)) % 0.71/0.93 (step @p68 :rule cong :premises (@p67) :args (@t99)) % 0.71/0.93 (step @p69 :rule nary_cong :premises (@p68 @p61) :args ((and @t99 @t3))) % 0.71/0.93 (step @p70 :rule quant-unused-vars :args ((= @t100 @t3))) % 0.71/0.93 (step @p71 :rule alpha_equiv :args (@t101 (@list @t5) @t70)) % 0.71/0.93 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t102)) % 0.71/0.93 (step @p73 :rule quant-miniscope-and :args ((= @t103 @t102))) % 0.71/0.93 (step @p74 :rule trans :premises (@p73 @p72)) % 0.71/0.93 (step @p75 :rule trans :premises (@p74 @p69)) % 0.71/0.93 (step @p76 :rule refl :args (@t9)) % 0.71/0.93 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t104)) % 0.71/0.93 (step @p78 :rule quant-miniscope-or :args ((= @t11 @t104))) % 0.71/0.93 (step @p79 :rule trans :premises (@p78 @p77)) % 0.71/0.93 (step @p80 :rule cong :premises (@p79) :args (@t13)) % 0.71/0.93 (step @p81 :rule trans :premises (@p80 @p60)) % 0.71/0.93 (step @p82 :rule cong :premises (@p81) :args (@t15)) % 0.71/0.93 (step @p83 :rule trans :premises (@p82 @p25)) % 0.71/0.93 (step @p84 :rule refl :args (@t105)) % 0.71/0.93 (step @p85 :rule refl :args (@t18)) % 0.71/0.93 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t18 @t105))) % 0.71/0.93 (step @p87 :rule symm :premises (@p86)) % 0.71/0.93 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.71/0.93 (step @p89 :rule refl :args (@t106)) % 0.71/0.93 (step @p90 :rule refl :args (@t19)) % 0.71/0.93 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t19 @t106))) % 0.71/0.93 (step @p92 :rule symm :premises (@p91)) % 0.71/0.93 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.71/0.93 (step @p94 :rule cong :premises (@p93) :args (@t107)) % 0.71/0.93 (step @p95 :rule refl :args (@t108)) % 0.71/0.93 (step @p96 :rule refl :args (@t20)) % 0.71/0.93 (step @p97 :rule cong :premises (@p96 @p95) :args ((= @t20 @t108))) % 0.71/0.93 (step @p98 :rule symm :premises (@p97)) % 0.71/0.93 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.71/0.93 (step @p100 :rule cong :premises (@p99) :args (@t109)) % 0.71/0.93 (step @p101 :rule nary_cong :premises (@p100 @p94 @p88) :args (@t110)) % 0.71/0.93 (step @p102 :rule cong :premises (@p101) :args ((forall @t22 @t110))) % 0.71/0.93 (step @p103 :rule aci_norm :args ((= (or (or @t109 @t107) @t18) @t110))) % 0.71/0.93 (step @p104 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.71/0.93 (step @p105 :rule nary_cong :premises (@p104 @p85) :args ((or (not @t21) @t18))) % 0.71/0.93 (step @p106 :rule trans :premises (@p105 @p103)) % 0.71/0.93 (step @p107 :rule bool-impl-elim :args (@t21 @t18)) % 0.71/0.93 (step @p108 :rule trans :premises (@p107 @p106)) % 0.71/0.93 (step @p109 :rule cong :premises (@p108) :args (@t23)) % 0.71/0.93 (step @p110 :rule trans :premises (@p109 @p102)) % 0.71/0.93 (step @p111 :rule refl :args (@t111)) % 0.71/0.93 (step @p112 :rule refl :args (@t26)) % 0.71/0.93 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t26 @t111))) % 0.71/0.93 (step @p114 :rule symm :premises (@p113)) % 0.71/0.93 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 0.71/0.93 (step @p116 :rule refl :args (@t112)) % 0.71/0.93 (step @p117 :rule refl :args (@t27)) % 0.71/0.93 (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t27 @t112))) % 0.71/0.93 (step @p119 :rule symm :premises (@p118)) % 0.71/0.93 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 0.71/0.93 (step @p121 :rule cong :premises (@p120) :args (@t113)) % 0.71/0.93 (step @p122 :rule refl :args (@t114)) % 0.71/0.93 (step @p123 :rule refl :args (@t28)) % 0.71/0.93 (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t28 @t114))) % 0.71/0.93 (step @p125 :rule symm :premises (@p124)) % 0.71/0.93 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 0.71/0.93 (step @p127 :rule cong :premises (@p126) :args (@t115)) % 0.71/0.93 (step @p128 :rule nary_cong :premises (@p127 @p121 @p115) :args (@t116)) % 0.71/0.93 (step @p129 :rule cong :premises (@p128) :args ((forall @t30 @t116))) % 0.71/0.93 (step @p130 :rule aci_norm :args ((= (or (or @t115 @t113) @t26) @t116))) % 0.71/0.93 (step @p131 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.71/0.93 (step @p132 :rule nary_cong :premises (@p131 @p112) :args ((or (not @t29) @t26))) % 0.71/0.93 (step @p133 :rule trans :premises (@p132 @p130)) % 0.71/0.93 (step @p134 :rule bool-impl-elim :args (@t29 @t26)) % 0.71/0.93 (step @p135 :rule trans :premises (@p134 @p133)) % 0.71/0.93 (step @p136 :rule cong :premises (@p135) :args (@t31)) % 0.71/0.93 (step @p137 :rule trans :premises (@p136 @p129)) % 0.71/0.93 (step @p138 :rule refl :args (@t117)) % 0.71/0.93 (step @p139 :rule refl :args (@t9)) % 0.71/0.93 (step @p140 :rule cong :premises (@p139 @p138) :args ((= @t9 @t117))) % 0.71/0.93 (step @p141 :rule symm :premises (@p140)) % 0.71/0.93 (step @p142 :rule eq_resolve :premises (@p139 @p141)) % 0.71/0.93 (step @p143 :rule cong :premises (@p142) :args (@t90)) % 0.71/0.93 (step @p144 :rule cong :premises (@p143) :args (@t118)) % 0.71/0.93 (step @p145 :rule cong :premises (@p144) :args (@t119)) % 0.71/0.93 (step @p146 :rule exists-elim :args ((= @t32 @t119))) % 0.71/0.93 (step @p147 :rule trans :premises (@p146 @p145)) % 0.71/0.93 (step @p148 :rule cong :premises (@p147) :args (@t33)) % 0.71/0.93 (step @p149 :rule nary_cong :premises (@p148 @p137 @p110) :args (@t34)) % 0.71/0.93 (step @p150 :rule cong :premises (@p149 @p83) :args (@t35)) % 0.71/0.93 (step @p151 :rule refl :args (@t120)) % 0.71/0.93 (step @p152 :rule refl :args (@t36)) % 0.71/0.93 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t36 @t120))) % 0.71/0.93 (step @p154 :rule symm :premises (@p153)) % 0.71/0.93 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.71/0.93 (step @p156 :rule cong :premises (@p155) :args (@t37)) % 0.71/0.93 (step @p157 :rule refl :args (@t121)) % 0.71/0.93 (step @p158 :rule refl :args (@t40)) % 0.71/0.93 (step @p159 :rule cong :premises (@p158 @p157) :args ((= @t40 @t121))) % 0.71/0.93 (step @p160 :rule symm :premises (@p159)) % 0.71/0.93 (step @p161 :rule eq_resolve :premises (@p158 @p160)) % 0.71/0.93 (step @p162 :rule refl :args (@t122)) % 0.71/0.93 (step @p163 :rule refl :args (@t42)) % 0.71/0.93 (step @p164 :rule cong :premises (@p163 @p162) :args ((= @t42 @t122))) % 0.71/0.93 (step @p165 :rule symm :premises (@p164)) % 0.71/0.93 (step @p166 :rule eq_resolve :premises (@p163 @p165)) % 0.71/0.93 (step @p167 :rule cong :premises (@p166) :args (@t123)) % 0.71/0.93 (step @p168 :rule refl :args (@t124)) % 0.71/0.93 (step @p169 :rule refl :args (@t43)) % 0.71/0.93 (step @p170 :rule cong :premises (@p169 @p168) :args ((= @t43 @t124))) % 0.71/0.93 (step @p171 :rule symm :premises (@p170)) % 0.71/0.93 (step @p172 :rule eq_resolve :premises (@p169 @p171)) % 0.71/0.93 (step @p173 :rule cong :premises (@p172) :args (@t125)) % 0.71/0.93 (step @p174 :rule nary_cong :premises (@p173 @p167 @p161) :args (@t126)) % 0.71/0.93 (step @p175 :rule cong :premises (@p174) :args ((forall @t45 @t126))) % 0.71/0.93 (step @p176 :rule aci_norm :args ((= (or (or @t125 @t123) @t40) @t126))) % 0.71/0.93 (step @p177 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 0.71/0.93 (step @p178 :rule nary_cong :premises (@p177 @p158) :args ((or (not @t44) @t40))) % 0.71/0.93 (step @p179 :rule trans :premises (@p178 @p176)) % 0.71/0.93 (step @p180 :rule bool-impl-elim :args (@t44 @t40)) % 0.71/0.93 (step @p181 :rule trans :premises (@p180 @p179)) % 0.71/0.93 (step @p182 :rule cong :premises (@p181) :args (@t46)) % 0.71/0.93 (step @p183 :rule trans :premises (@p182 @p175)) % 0.71/0.93 (step @p184 :rule nary_cong :premises (@p183 @p156) :args (@t47)) % 0.71/0.93 (step @p185 :rule cong :premises (@p184 @p150) :args (@t48)) % 0.71/0.93 (step @p186 :rule cong :premises (@p185) :args (@t49)) % 0.71/0.93 (step @p187 :rule eq_resolve :premises (@p1 @p186)) % 0.71/0.93 (step @p188 :rule not_implies_elim2 :premises (@p187)) % 0.71/0.93 (step @p189 :rule not_implies_elim2 :premises (@p188)) % 0.71/0.93 (step @p190 :rule skolemize :premises (@p189)) % 0.71/0.93 (step @p191 :rule cnf_or_neg :args (@t134 1)) % 0.71/0.93 (step @p192 :rule chain_m_resolution :premises (@p191 @p190) :args ((not @t131) @t135 @t136)) % 0.71/0.93 (step @p193 :rule bool-double-not-elim :args (@t132)) % 0.71/0.93 (step @p194 :rule refl :args (@t134)) % 0.71/0.93 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t134 (not @t133)))) % 0.71/0.93 (step @p196 :rule cnf_or_neg :args (@t134 0)) % 0.71/0.93 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 0.71/0.93 (step @p198 :rule reordering :premises (@p197) :args ((or @t132 @t134))) % 0.71/0.93 (step @p199 :rule chain_m_resolution :premises (@p198 @p190) :args (@t132 @t135 @t136)) % 0.71/0.93 (step @p200 :rule instantiate :premises (@p199) :args ((@list @t128))) % 0.71/0.93 (step @p201 :rule bool-double-not-elim :args (@t53)) % 0.71/0.93 (step @p202 :rule bool-double-not-elim :args (@t129)) % 0.71/0.93 (step @p203 :rule refl :args (@t131)) % 0.71/0.93 (step @p204 :rule nary_cong :premises (@p203 @p202 @p201) :args ((or @t131 (not @t130) (not @t54)))) % 0.71/0.93 (step @p205 :rule cnf_and_neg :args (@t131)) % 0.71/0.94 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 0.71/0.94 (step @p207 :rule reordering :premises (@p206) :args ((or @t53 @t129 @t131))) % 0.71/0.94 (step @p208 :rule chain_m_resolution :premises (@p207 @p200 @p192) :args (@t53 (@list true true) (@list @t129 @t131))) % 0.71/0.94 (step @p209 :rule not_implies_elim1 :premises (@p187)) % 0.71/0.94 (step @p210 :rule and_elim :premises (@p209) :args (1)) % 0.71/0.94 (step @p211 :rule instantiate :premises (@p210) :args (@t137)) % 0.71/0.94 (assume-push @p218 @t53) % 0.71/0.94 (step @p213 :rule instantiate :premises (@p208) :args (@t137)) % 0.71/0.94 (step-pop @p219 :rule scope :premises (@p213)) % 0.71/0.94 (step @p214 :rule process_scope :premises (@p219) :args ((not @t138))) % 0.71/0.94 (step @p216 :rule implies_elim :premises (@p214)) % 0.71/0.94 (step @p217 false :rule chain_m_resolution :premises (@p216 @p211 @p208) :args (false (@list false false) (@list @t138 @t53))) % 0.71/0.94 ) % 0.71/0.94 % SZS output end Proof % 0.71/0.94 % cvc5 exiting %------------------------------------------------------------------------------