%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ081^1 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:44:09 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ081^1 : TPTP v9.2.1. Released v3.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 13:17:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.zoey $$unsorted) % 0.38/0.60 (declare-const tptp.mel $$unsorted) % 0.38/0.60 (declare-const tptp.says (-> $$unsorted Bool Bool)) % 0.38/0.60 (declare-const tptp.islander $$unsorted) % 0.38/0.60 (declare-const tptp.knight $$unsorted) % 0.38/0.60 (declare-const tptp.is_a (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.knave $$unsorted) % 0.38/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t2 () (_ tptp.is_a @t1)) % 0.38/0.60 (define @t3 () (_ @t2 tptp.knave)) % 0.38/0.60 (define @t4 () (_ @t2 tptp.knight)) % 0.38/0.60 (define @t5 () (or @t4 @t3)) % 0.38/0.60 (define @t6 () (_ @t2 tptp.islander)) % 0.38/0.60 (define @t7 () (@list @t1)) % 0.38/0.60 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.38/0.60 (define @t9 () (@var "A" Bool)) % 0.38/0.60 (define @t10 () (_ (_ tptp.says @t1) @t9)) % 0.38/0.60 (define @t11 () (@list @t9)) % 0.38/0.60 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.38/0.60 (define @t13 () (=> @t4 @t12)) % 0.38/0.60 (define @t14 () (forall @t7 @t13)) % 0.38/0.60 (define @t15 () (not @t9)) % 0.38/0.60 (define @t16 () (forall @t11 (=> @t10 @t15))) % 0.38/0.60 (define @t17 () (=> @t3 @t16)) % 0.38/0.60 (define @t18 () (forall @t7 @t17)) % 0.38/0.60 (define @t19 () (_ tptp.is_a tptp.mel)) % 0.38/0.60 (define @t20 () (_ @t19 tptp.islander)) % 0.38/0.60 (define @t21 () (_ tptp.is_a tptp.zoey)) % 0.38/0.60 (define @t22 () (_ @t21 tptp.islander)) % 0.38/0.60 (define @t23 () (_ @t19 tptp.knave)) % 0.38/0.60 (define @t24 () (_ tptp.says tptp.zoey)) % 0.38/0.60 (define @t25 () (_ @t21 tptp.knave)) % 0.38/0.60 (define @t26 () (or @t25 @t23)) % 0.38/0.60 (define @t27 () (not @t26)) % 0.38/0.60 (define @t28 () (_ tptp.says tptp.mel)) % 0.38/0.60 (define @t29 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t30 () (_ @t21 @t29)) % 0.38/0.60 (define @t31 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t32 () (_ @t19 @t31)) % 0.38/0.60 (define @t33 () (xor (= @t29 tptp.knight) (= @t29 tptp.knave))) % 0.38/0.60 (define @t34 () (xor (= @t31 tptp.knight) (= @t31 tptp.knave))) % 0.38/0.60 (define @t35 () (and @t34 @t33 @t32 @t30)) % 0.38/0.60 (define @t36 () (@list @t31 @t29)) % 0.38/0.60 (define @t37 () (exists @t36 @t35)) % 0.38/0.60 (define @t38 () (not @t37)) % 0.38/0.60 (define @t39 () (@purify @t27)) % 0.38/0.60 (define @t40 () (tptp.says tptp.mel @t39)) % 0.38/0.60 (define @t41 () (_ @t28 @t39)) % 0.38/0.60 (define @t42 () (= @t27 @t39)) % 0.38/0.60 (define @t43 () (@purify false)) % 0.38/0.60 (define @t44 () (not (tptp.says @t1 false))) % 0.38/0.60 (define @t45 () (tptp.is_a @t1 tptp.knight)) % 0.38/0.60 (define @t46 () (not @t4)) % 0.38/0.60 (define @t47 () (or @t46 @t44)) % 0.38/0.60 (define @t48 () (or @t44 false)) % 0.38/0.60 (define @t49 () (tptp.says @t1 @t9)) % 0.38/0.60 (define @t50 () (not @t49)) % 0.38/0.60 (define @t51 () (or @t9 @t50 @t9)) % 0.38/0.60 (define @t52 () (or @t50 @t9)) % 0.38/0.60 (define @t53 () (not @t10)) % 0.38/0.60 (define @t54 () (or @t53 @t9)) % 0.38/0.60 (define @t55 () (not @t43)) % 0.38/0.60 (define @t56 () (tptp.says tptp.mel false)) % 0.38/0.60 (define @t57 () (not @t56)) % 0.38/0.60 (define @t58 () (tptp.is_a tptp.mel tptp.knight)) % 0.38/0.60 (define @t59 () (not @t58)) % 0.38/0.60 (define @t60 () (or @t59 @t57)) % 0.38/0.60 (define @t61 () (forall @t7 (or (not @t45) @t44))) % 0.38/0.60 (define @t62 () (@list tptp.mel)) % 0.38/0.60 (define @t63 () (tptp.says tptp.mel @t43)) % 0.38/0.60 (define @t64 () (not @t63)) % 0.38/0.60 (define @t65 () (or @t59 @t64)) % 0.38/0.60 (define @t66 () (@list false)) % 0.38/0.60 (define @t67 () (@list @t61)) % 0.38/0.60 (define @t68 () (tptp.is_a @t1 tptp.knave)) % 0.38/0.60 (define @t69 () (tptp.is_a @t1 tptp.islander)) % 0.38/0.60 (define @t70 () (not @t6)) % 0.38/0.60 (define @t71 () (or @t70 @t4 @t3)) % 0.38/0.60 (define @t72 () (tptp.is_a tptp.mel tptp.islander)) % 0.38/0.60 (define @t73 () (tptp.is_a tptp.mel tptp.knave)) % 0.38/0.60 (define @t74 () (@purify @t23)) % 0.38/0.60 (define @t75 () (= @t23 @t74)) % 0.38/0.60 (define @t76 () (not @t74)) % 0.38/0.60 (define @t77 () (tptp.says tptp.zoey @t74)) % 0.38/0.60 (define @t78 () (_ @t24 @t74)) % 0.38/0.60 (define @t79 () (@purify true)) % 0.38/0.60 (define @t80 () (tptp.says tptp.zoey @t79)) % 0.38/0.60 (define @t81 () (and @t74 @t77 @t79)) % 0.38/0.60 (define @t82 () (not @t77)) % 0.38/0.60 (define @t83 () (not (tptp.says @t1 true))) % 0.38/0.60 (define @t84 () (not @t3)) % 0.38/0.60 (define @t85 () (or @t84 @t83)) % 0.38/0.60 (define @t86 () (not true)) % 0.38/0.60 (define @t87 () (or @t83 @t86)) % 0.38/0.60 (define @t88 () (or @t15 @t50 @t15)) % 0.38/0.60 (define @t89 () (or @t50 @t15)) % 0.38/0.60 (define @t90 () (or @t53 @t15)) % 0.38/0.60 (define @t91 () (tptp.says tptp.zoey true)) % 0.38/0.60 (define @t92 () (not @t91)) % 0.38/0.60 (define @t93 () (tptp.is_a tptp.zoey tptp.knave)) % 0.38/0.60 (define @t94 () (not @t93)) % 0.38/0.60 (define @t95 () (or @t94 @t92)) % 0.38/0.60 (define @t96 () (forall @t7 (or (not @t68) @t83))) % 0.38/0.60 (define @t97 () (@list tptp.zoey)) % 0.38/0.60 (define @t98 () (not @t80)) % 0.38/0.60 (define @t99 () (or @t94 @t98)) % 0.38/0.60 (define @t100 () (tptp.is_a tptp.zoey tptp.islander)) % 0.38/0.60 (define @t101 () (tptp.is_a tptp.zoey tptp.knight)) % 0.38/0.60 (define @t102 () (not @t100)) % 0.38/0.60 (define @t103 () (or @t102 @t101 @t93)) % 0.38/0.60 (define @t104 () (= tptp.knight tptp.knave)) % 0.38/0.60 (define @t105 () (not @t104)) % 0.38/0.60 (define @t106 () (not @t101)) % 0.38/0.60 (define @t107 () (and @t101 @t104 @t94)) % 0.38/0.60 (define @t108 () (not @t73)) % 0.38/0.60 (define @t109 () (or @t104 @t108)) % 0.38/0.60 (define @t110 () (= @t104 (= tptp.knave tptp.knave))) % 0.38/0.60 (define @t111 () (or @t110 @t108)) % 0.38/0.60 (define @t112 () (tptp.is_a tptp.mel @t31)) % 0.38/0.60 (define @t113 () (= tptp.knave @t31)) % 0.38/0.60 (define @t114 () (= tptp.knight @t31)) % 0.38/0.60 (define @t115 () (= @t114 @t113)) % 0.38/0.60 (define @t116 () (@list @t31)) % 0.38/0.60 (define @t117 () (forall @t116 (or @t115 (not @t112)))) % 0.38/0.60 (define @t118 () (tptp.is_a tptp.zoey @t29)) % 0.38/0.60 (define @t119 () (= tptp.knave @t29)) % 0.38/0.60 (define @t120 () (= tptp.knight @t29)) % 0.38/0.60 (define @t121 () (= @t120 @t119)) % 0.38/0.60 (define @t122 () (@list @t29)) % 0.38/0.60 (define @t123 () (forall @t122 (or @t121 (not @t118)))) % 0.38/0.60 (define @t124 () (not @t30)) % 0.38/0.60 (define @t125 () (or @t121 @t124)) % 0.38/0.60 (define @t126 () (forall @t122 @t125)) % 0.38/0.60 (define @t127 () (not @t32)) % 0.38/0.60 (define @t128 () (or @t115 @t127)) % 0.38/0.60 (define @t129 () (forall @t116 @t128)) % 0.38/0.60 (define @t130 () (or @t129 @t126)) % 0.38/0.60 (define @t131 () (or @t128 @t125)) % 0.38/0.60 (define @t132 () (or @t115 @t121 @t127 @t124)) % 0.38/0.60 (define @t133 () (xor @t120 @t119)) % 0.38/0.60 (define @t134 () (not @t133)) % 0.38/0.60 (define @t135 () (xor @t114 @t113)) % 0.38/0.60 (define @t136 () (not @t135)) % 0.38/0.60 (define @t137 () (or @t136 @t134 @t127 @t124)) % 0.38/0.60 (define @t138 () (and @t135 @t133 @t32 @t30)) % 0.38/0.60 (define @t139 () (forall @t36 (not @t138))) % 0.38/0.60 (define @t140 () (not @t139)) % 0.38/0.60 (define @t141 () (or @t104 @t106)) % 0.38/0.60 (define @t142 () (= tptp.knight tptp.knight)) % 0.38/0.60 (define @t143 () (= tptp.knave tptp.knight)) % 0.38/0.60 (define @t144 () (or (= @t142 @t143) @t106)) % 0.38/0.60 (define @t145 () (not @t72)) % 0.38/0.60 (define @t146 () (or @t145 @t58 @t73)) % 0.38/0.60 (define @t147 () (@list false false)) % 0.38/0.60 (define @t148 () (tptp.says tptp.zoey false)) % 0.38/0.60 (define @t149 () (not @t148)) % 0.38/0.60 (define @t150 () (or @t106 @t149)) % 0.38/0.60 (define @t151 () (tptp.says tptp.zoey @t43)) % 0.38/0.60 (define @t152 () (not @t151)) % 0.38/0.60 (define @t153 () (or @t106 @t152)) % 0.38/0.60 (define @t154 () (not @t55)) % 0.38/0.60 (define @t155 () (and @t77 @t76 @t55)) % 0.38/0.60 (define @t156 () (or @t93 @t73)) % 0.38/0.60 (define @t157 () (not @t156)) % 0.38/0.60 (define @t158 () (not @t39)) % 0.38/0.60 (define @t159 () (not @t40)) % 0.38/0.60 (define @t160 () (and @t64 @t55 @t158 @t40)) % 0.38/0.60 (assume @p1 @t8) % 0.38/0.60 (assume @p2 @t14) % 0.38/0.60 (assume @p3 @t18) % 0.38/0.60 (assume @p4 (and @t22 @t20)) % 0.38/0.60 (assume @p5 (_ @t24 @t23)) % 0.38/0.60 (assume @p6 (_ @t28 @t27)) % 0.38/0.60 (assume @p7 @t38) % 0.38/0.60 (assume @p8 true) % 0.38/0.60 (step @p9 :rule refl :args (@t40)) % 0.38/0.60 (step @p10 :rule refl :args (@t41)) % 0.38/0.60 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t41 @t40))) % 0.38/0.60 (step @p12 :rule symm :premises (@p11)) % 0.38/0.60 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.38/0.60 (step @p14 :rule eq-refl :args (@t27)) % 0.38/0.60 (step @p15 :rule skolem_intro :args (@t39)) % 0.38/0.60 (step @p16 :rule refl :args (@t27)) % 0.38/0.60 (step @p17 :rule cong :premises (@p16 @p15) :args (@t42)) % 0.38/0.60 (step @p18 :rule trans :premises (@p17 @p14)) % 0.38/0.60 (step @p19 :rule true_elim :premises (@p18)) % 0.38/0.60 (step @p20 :rule refl :args (@t28)) % 0.38/0.60 (step @p21 :rule ho_cong :premises (@p20 @p19)) % 0.38/0.60 (step @p22 :rule trans :premises (@p21 @p13)) % 0.38/0.60 (step @p23 :rule eq_resolve :premises (@p6 @p22)) % 0.38/0.60 (step @p24 :rule bool-eq-false :args (@t43)) % 0.38/0.60 (step @p25 :rule skolem_intro :args (@t43)) % 0.38/0.60 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.38/0.60 (step @p27 :rule refl :args (@t44)) % 0.38/0.60 (step @p28 :rule refl :args (@t45)) % 0.38/0.60 (step @p29 :rule refl :args (@t4)) % 0.38/0.60 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t4 @t45))) % 0.38/0.60 (step @p31 :rule symm :premises (@p30)) % 0.38/0.60 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.38/0.60 (step @p33 :rule cong :premises (@p32) :args (@t46)) % 0.38/0.60 (step @p34 :rule nary_cong :premises (@p33 @p27) :args (@t47)) % 0.38/0.60 (step @p35 :rule cong :premises (@p34) :args ((forall @t7 @t47))) % 0.38/0.60 (step @p36 :rule bool-impl-elim :args (@t4 @t44)) % 0.38/0.60 (step @p37 :rule cong :premises (@p36) :args ((forall @t7 (=> @t4 @t44)))) % 0.38/0.60 (step @p38 :rule trans :premises (@p37 @p35)) % 0.38/0.60 (step @p39 :rule aci_norm :args ((= @t48 @t44))) % 0.38/0.60 (step @p40 :rule quant-var-elim-eq :args ((= (forall @t11 (or (not (= @t9 false)) @t50 @t9)) @t48))) % 0.38/0.60 (step @p41 :rule refl :args (@t9)) % 0.38/0.60 (step @p42 :rule refl :args (@t50)) % 0.38/0.60 (step @p43 :rule bool-eq-false :args (@t9)) % 0.38/0.60 (step @p44 :rule symm :premises (@p43)) % 0.38/0.60 (step @p45 :rule cong :premises (@p44) :args ((not @t15))) % 0.38/0.60 (step @p46 :rule bool-double-not-elim :args (@t9)) % 0.38/0.60 (step @p47 :rule symm :premises (@p46)) % 0.38/0.60 (step @p48 :rule trans :premises (@p47 @p45)) % 0.38/0.60 (step @p49 :rule nary_cong :premises (@p48 @p42 @p41) :args (@t51)) % 0.38/0.60 (step @p50 :rule aci_norm :args ((= @t52 @t51))) % 0.38/0.60 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.60 (step @p52 :rule cong :premises (@p51) :args ((forall @t11 @t52))) % 0.38/0.60 (step @p53 :rule trans :premises (@p52 @p40)) % 0.38/0.60 (step @p54 :rule trans :premises (@p53 @p39)) % 0.38/0.60 (step @p55 :rule refl :args (@t49)) % 0.38/0.60 (step @p56 :rule refl :args (@t10)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t10 @t49))) % 0.38/0.60 (step @p58 :rule symm :premises (@p57)) % 0.38/0.60 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.38/0.60 (step @p60 :rule cong :premises (@p59) :args (@t53)) % 0.38/0.60 (step @p61 :rule nary_cong :premises (@p60 @p41) :args (@t54)) % 0.38/0.60 (step @p62 :rule cong :premises (@p61) :args ((forall @t11 @t54))) % 0.38/0.60 (step @p63 :rule trans :premises (@p62 @p54)) % 0.38/0.60 (step @p64 :rule bool-impl-elim :args (@t10 @t9)) % 0.38/0.60 (step @p65 :rule cong :premises (@p64) :args (@t12)) % 0.38/0.60 (step @p66 :rule trans :premises (@p65 @p63)) % 0.38/0.60 (step @p67 :rule refl :args (@t4)) % 0.38/0.60 (step @p68 :rule cong :premises (@p67 @p66) :args (@t13)) % 0.38/0.60 (step @p69 :rule cong :premises (@p68) :args (@t14)) % 0.38/0.60 (step @p70 :rule trans :premises (@p69 @p38)) % 0.38/0.60 (step @p71 :rule eq_resolve :premises (@p2 @p70)) % 0.38/0.60 (step @p72 :rule evaluate :args ((not false))) % 0.38/0.60 (step @p73 :rule cong :premises (@p25) :args (@t55)) % 0.38/0.60 (step @p74 :rule bool-eq-false :args (@t43)) % 0.38/0.60 (step @p75 :rule eq-symm :args (false @t43)) % 0.38/0.60 (step @p76 :rule trans :premises (@p75 @p74)) % 0.38/0.60 (step @p77 :rule trans :premises (@p76 @p73 @p72)) % 0.38/0.60 (step @p78 :rule true_elim :premises (@p77)) % 0.38/0.60 (step @p79 :rule refl :args (tptp.mel)) % 0.38/0.60 (step @p80 :rule cong :premises (@p79 @p78) :args (@t56)) % 0.38/0.60 (step @p81 :rule cong :premises (@p80) :args (@t57)) % 0.38/0.60 (step @p82 :rule refl :args (@t59)) % 0.38/0.60 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t60)) % 0.38/0.60 (step @p84 :rule refl :args (@t61)) % 0.38/0.60 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t61 @t60))) % 0.38/0.60 (assume-push @p480 @t61) % 0.38/0.60 (step @p87 :rule instantiate :premises (@p71) :args (@t62)) % 0.38/0.60 (step-pop @p481 :rule scope :premises (@p87)) % 0.38/0.60 (step @p88 :rule process_scope :premises (@p481) :args (@t60)) % 0.38/0.60 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.38/0.60 (step @p91 :rule implies_elim :premises (@p90)) % 0.38/0.60 (step @p92 :rule chain_m_resolution :premises (@p91 @p71) :args (@t65 @t66 @t67)) % 0.38/0.60 (step @p93 :rule refl :args (@t68)) % 0.38/0.60 (step @p94 :rule refl :args (@t3)) % 0.38/0.60 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t3 @t68))) % 0.38/0.60 (step @p96 :rule symm :premises (@p95)) % 0.38/0.60 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.38/0.60 (step @p98 :rule refl :args (@t69)) % 0.38/0.60 (step @p99 :rule refl :args (@t6)) % 0.38/0.60 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t6 @t69))) % 0.38/0.60 (step @p101 :rule symm 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(@p511) :args (@t144)) % 0.38/0.60 (step @p364 :rule eq_resolve :premises (@p362 @p359)) % 0.38/0.60 (step @p365 :rule implies_elim :premises (@p364)) % 0.38/0.60 (step @p366 :rule chain_m_resolution :premises (@p365 @p350 @p348 @p287 @p272 @p270 @p239 @p237 @p236 @p229 @p227 @p179 @p151 @p148 @p134) :args (@t76 (@list true false true true true false false false true false false false false false) (@list @t141 @t123 @t117 @t109 @t104 @t101 @t103 @t100 @t93 @t99 @t80 @t79 @t77 @t73))) % 0.38/0.60 (step @p367 :rule equiv_elim2 :premises (@p132)) % 0.38/0.60 (step @p368 :rule chain_m_resolution :premises (@p367 @p366) :args (@t108 (@list true) (@list @t74))) % 0.38/0.60 (step @p369 :rule cnf_or_pos :args (@t146)) % 0.38/0.60 (step @p370 :rule reordering :premises (@p369) :args ((or @t73 @t145 @t58 (not @t146)))) % 0.38/0.60 (step @p371 :rule chain_m_resolution :premises (@p370 @p368 @p119 @p112) :args (@t58 (@list true false false) (@list @t73 @t72 @t146))) % 0.38/0.60 (step @p372 :rule cnf_or_pos :args (@t65)) % 0.38/0.60 (step @p373 :rule reordering :premises (@p372) :args ((or @t59 @t64 (not @t65)))) % 0.38/0.60 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p92) :args (@t64 @t147 (@list @t58 @t65))) % 0.38/0.60 (step @p375 :rule cong :premises (@p162 @p78) :args (@t148)) % 0.38/0.60 (step @p376 :rule cong :premises (@p375) :args (@t149)) % 0.38/0.60 (step @p377 :rule nary_cong :premises (@p241 @p376) :args (@t150)) % 0.38/0.60 (step @p378 :rule cong :premises (@p84 @p377) :args ((=> @t61 @t150))) % 0.38/0.60 (assume-push @p512 @t61) % 0.38/0.60 (step @p380 :rule instantiate :premises (@p71) :args (@t97)) % 0.38/0.60 (step-pop @p513 :rule scope :premises (@p380)) % 0.38/0.60 (step @p381 :rule process_scope :premises (@p513) :args (@t150)) % 0.38/0.60 (step @p383 :rule eq_resolve :premises (@p381 @p378)) % 0.38/0.60 (step @p384 :rule implies_elim :premises (@p383)) % 0.38/0.60 (step @p385 :rule chain_m_resolution :premises (@p384 @p71) :args (@t153 @t66 @t67)) % 0.38/0.60 (step @p386 :rule refl :args (@t151)) % 0.38/0.60 (step @p387 :rule bool-double-not-elim :args (@t43)) % 0.38/0.60 (step @p388 :rule bool-double-not-elim :args (@t74)) % 0.38/0.60 (step @p389 :rule refl :args (@t82)) % 0.38/0.60 (step @p390 :rule nary_cong :premises (@p389 @p388 @p387 @p386) :args ((or @t82 (not @t76) @t154 @t151))) % 0.38/0.60 (assume-push @p514 @t77) % 0.38/0.60 (assume-push @p515 @t76) % 0.38/0.60 (assume-push @p516 @t55) % 0.38/0.60 (assume-push @p517 @t77) % 0.38/0.60 (assume-push @p518 @t76) % 0.38/0.60 (assume-push @p519 @t55) % 0.38/0.60 (step @p158 :rule true_intro :premises (@p148)) % 0.38/0.60 (step @p397 :rule false_intro :premises (@p515)) % 0.38/0.60 (step @p398 :rule symm :premises (@p397)) % 0.38/0.60 (step @p399 :rule trans :premises (@p25 @p398)) % 0.38/0.60 (step @p400 :rule cong :premises (@p162 @p399) :args (@t151)) % 0.38/0.60 (step @p401 :rule trans :premises (@p400 @p158)) % 0.38/0.60 (step @p402 :rule true_elim :premises (@p401)) % 0.38/0.60 (step-pop @p520 :rule scope :premises (@p402)) % 0.38/0.60 (step-pop @p521 :rule scope :premises (@p520)) % 0.38/0.60 (step-pop @p522 :rule scope :premises (@p521)) % 0.38/0.60 (step @p403 :rule process_scope :premises (@p522) :args (@t151)) % 0.38/0.60 (step @p407 :rule and_intro :premises (@p148 @p515 @p26)) % 0.38/0.60 (step @p408 :rule modus_ponens :premises (@p407 @p403)) % 0.38/0.60 (step-pop @p523 :rule scope :premises (@p408)) % 0.38/0.60 (step-pop @p524 :rule scope :premises (@p523)) % 0.38/0.60 (step-pop @p525 :rule scope :premises (@p524)) % 0.38/0.60 (step @p409 :rule process_scope :premises (@p525) :args (@t151)) % 0.38/0.60 (step @p413 :rule implies_elim :premises (@p409)) % 0.38/0.60 (step @p414 :rule cnf_and_neg :args (@t155)) % 0.38/0.60 (step @p415 :rule resolution :premises (@p414 @p413) :args (true @t155)) % 0.38/0.60 (step @p416 :rule eq_resolve :premises (@p415 @p390)) % 0.38/0.60 (step @p417 :rule reordering :premises (@p416) :args ((or @t74 @t82 @t43 @t151))) % 0.38/0.60 (step @p418 :rule chain_m_resolution :premises (@p417 @p366 @p148 @p26) :args (@t151 (@list true false true) (@list @t74 @t77 @t43))) % 0.38/0.60 (step @p419 :rule cnf_or_pos :args (@t153)) % 0.38/0.60 (step @p420 :rule reordering :premises (@p419) :args ((or @t106 @t152 (not @t153)))) % 0.38/0.60 (step @p421 :rule chain_m_resolution :premises (@p420 @p418 @p385) :args (@t106 @t147 (@list @t151 @t153))) % 0.38/0.60 (step @p422 :rule chain_m_resolution :premises (@p239 @p236 @p421 @p237) :args (@t93 (@list false true false) (@list @t100 @t101 @t103))) % 0.38/0.60 (step @p423 :rule cnf_or_neg :args (@t156 0)) % 0.38/0.60 (step @p424 :rule chain_m_resolution :premises (@p423 @p422) :args (@t156 @t66 (@list @t93))) % 0.38/0.60 (step @p425 :rule eq-symm :args (@t157 @t39)) % 0.38/0.60 (step @p426 :rule refl :args (@t39)) % 0.38/0.60 (step @p427 :rule refl :args (@t93)) % 0.38/0.60 (step @p428 :rule refl :args (@t25)) % 0.38/0.60 (step @p429 :rule cong :premises (@p428 @p427) :args ((= @t25 @t93))) % 0.38/0.60 (step @p430 :rule symm :premises (@p429)) % 0.38/0.60 (step @p431 :rule eq_resolve :premises (@p428 @p430)) % 0.38/0.60 (step @p432 :rule nary_cong :premises (@p431 @p126) :args (@t26)) % 0.38/0.60 (step @p433 :rule cong :premises (@p432) :args (@t27)) % 0.38/0.60 (step @p434 :rule cong :premises (@p433 @p426) :args (@t42)) % 0.38/0.60 (step @p435 :rule trans :premises (@p434 @p425)) % 0.38/0.60 (step @p436 :rule eq-symm :args (@t39 @t27)) % 0.38/0.60 (step @p437 :rule trans :premises (@p436 @p435)) % 0.38/0.60 (step @p438 :rule eq_resolve :premises (@p15 @p437)) % 0.38/0.60 (step @p439 :rule equiv_elim1 :premises (@p438)) % 0.38/0.60 (step @p440 :rule reordering :premises (@p439) :args ((or @t157 @t158))) % 0.38/0.60 (step @p441 :rule chain_m_resolution :premises (@p440 @p424) :args (@t158 @t66 (@list @t156))) % 0.38/0.60 (step @p442 :rule bool-double-not-elim :args (@t63)) % 0.38/0.60 (step @p443 :rule bool-double-not-elim :args (@t39)) % 0.38/0.60 (step @p444 :rule refl :args (@t159)) % 0.38/0.60 (step @p445 :rule nary_cong :premises (@p444 @p443 @p442 @p387) :args ((or @t159 (not @t158) (not @t64) @t154))) % 0.38/0.60 (assume-push @p526 @t64) % 0.38/0.60 (assume-push @p527 @t55) % 0.38/0.60 (assume-push @p528 @t158) % 0.38/0.60 (assume-push @p529 @t40) % 0.38/0.60 (step @p450 :rule evaluate :args ((= true false))) % 0.38/0.60 (step @p451 :rule false_intro :premises (@p526)) % 0.38/0.60 (step @p452 :rule false_intro :premises (@p528)) % 0.38/0.60 (step @p453 :rule trans :premises (@p452 @p78)) % 0.38/0.60 (step @p454 :rule cong :premises (@p79 @p453) :args (@t40)) % 0.38/0.60 (step @p455 :rule true_intro :premises (@p23)) % 0.38/0.60 (step @p456 :rule symm :premises (@p455)) % 0.38/0.60 (step @p457 :rule trans :premises (@p456 @p454 @p451)) % 0.38/0.60 (step @p458 false :rule eq_resolve :premises (@p457 @p450)) % 0.38/0.60 (step-pop @p530 :rule scope :premises (@p458)) % 0.38/0.60 (step-pop @p531 :rule scope :premises (@p530)) % 0.38/0.60 (step-pop @p532 :rule scope :premises (@p531)) % 0.38/0.60 (step-pop @p533 :rule scope :premises (@p532)) % 0.38/0.60 (step @p459 :rule process_scope :premises (@p533) :args (false)) % 0.38/0.60 (assume-push @p534 @t40) % 0.38/0.60 (assume-push @p535 @t158) % 0.38/0.60 (assume-push @p536 @t64) % 0.38/0.60 (assume-push @p537 @t55) % 0.38/0.60 (step @p468 :rule and_intro :premises (@p536 @p26 @p535 @p23)) % 0.38/0.60 (step-pop @p538 :rule scope :premises (@p468)) % 0.38/0.60 (step-pop @p539 :rule scope :premises (@p538)) % 0.38/0.60 (step-pop @p540 :rule scope :premises (@p539)) % 0.38/0.60 (step-pop @p541 :rule scope :premises (@p540)) % 0.38/0.60 (step @p469 :rule process_scope :premises (@p541) :args (@t160)) % 0.38/0.60 (step @p474 :rule implies_elim :premises (@p469)) % 0.38/0.60 (step @p475 :rule resolution :premises (@p474 @p459) :args (true @t160)) % 0.38/0.60 (step @p476 :rule not_and :premises (@p475)) % 0.38/0.60 (step @p477 :rule eq_resolve :premises (@p476 @p445)) % 0.38/0.60 (step @p478 :rule reordering :premises (@p477) :args ((or @t39 @t159 @t43 @t63))) % 0.38/0.60 (step @p479 false :rule chain_m_resolution :premises (@p478 @p441 @p374 @p26 @p23) :args (false (@list true true true false) (@list @t39 @t63 @t43 @t40))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------