%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO901^11 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 09:13:45 AM UTC 2026 % Result : Theorem 0.63s 0.81s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO901^11 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n027.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 : Wed Jun 3 01:09:21 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.63/0.81 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.63/0.81 % SZS status Theorem % 0.63/0.81 % SZS output start Proof % 0.63/0.81 ( % 0.63/0.81 (declare-sort tptp.mworld 0) % 0.63/0.81 (declare-const tptp.mactual tptp.mworld) % 0.63/0.81 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.63/0.81 (declare-const tptp.p (-> tptp.mworld Bool)) % 0.63/0.81 (declare-const tptp.q (-> tptp.mworld Bool)) % 0.63/0.81 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.63/0.81 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.63/0.81 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.63/0.81 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.63/0.81 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.63/0.81 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.63/0.81 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.63/0.81 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.63/0.81 (define @t1 () (@var "W" tptp.mworld)) % 0.63/0.81 (define @t2 () (_ tptp.mrel @t1)) % 0.63/0.81 (define @t3 () (_ @t2 @t1)) % 0.63/0.81 (define @t4 () (@list @t1)) % 0.63/0.81 (define @t5 () (forall @t4 @t3)) % 0.63/0.81 (define @t6 () (@var "V" tptp.mworld)) % 0.63/0.81 (define @t7 () (@var "U" tptp.mworld)) % 0.63/0.81 (define @t8 () (_ (_ tptp.mrel @t7) @t6)) % 0.63/0.81 (define @t9 () (_ @t2 @t6)) % 0.63/0.81 (define @t10 () (_ @t2 @t7)) % 0.63/0.81 (define @t11 () (and @t10 @t9)) % 0.63/0.81 (define @t12 () (@list @t1 @t6 @t7)) % 0.63/0.81 (define @t13 () (forall @t12 (=> @t11 @t8))) % 0.63/0.81 (define @t14 () (not (_ tptp.mlocal (_ (_ tptp.mimplies (_ tptp.mbox (_ (_ tptp.mequiv tptp.p) tptp.q))) (_ tptp.mbox (_ (_ tptp.mequiv (_ tptp.mbox tptp.p)) (_ tptp.mbox tptp.q))))))) % 0.63/0.81 (define @t15 () (@var "Phi" (-> tptp.mworld Bool))) % 0.63/0.81 (define @t16 () (lambda (@list @t15) (_ @t15 tptp.mactual))) % 0.63/0.81 (define @t17 () (@var "A" (-> tptp.mworld Bool))) % 0.63/0.81 (define @t18 () (_ @t17 @t1)) % 0.63/0.81 (define @t19 () (lambda (@list @t17 @t1) (not @t18))) % 0.63/0.81 (define @t20 () (@var "B" (-> tptp.mworld Bool))) % 0.63/0.81 (define @t21 () (_ @t20 @t1)) % 0.63/0.81 (define @t22 () (@list @t17 @t20 @t1)) % 0.63/0.81 (define @t23 () (lambda @t22 (and @t18 @t21))) % 0.63/0.81 (define @t24 () (lambda @t22 (or @t18 @t21))) % 0.63/0.81 (define @t25 () (lambda @t22 (=> @t18 @t21))) % 0.63/0.81 (define @t26 () (lambda @t22 (= @t18 @t21))) % 0.63/0.81 (define @t27 () (_ @t15 @t6)) % 0.63/0.81 (define @t28 () (@list @t6)) % 0.63/0.81 (define @t29 () (forall @t28 (=> @t9 @t27))) % 0.63/0.81 (define @t30 () (@list @t15 @t1)) % 0.63/0.81 (define @t31 () (lambda @t30 @t29)) % 0.63/0.81 (define @t32 () (lambda @t30 (exists @t28 (and @t9 @t27)))) % 0.63/0.81 (define @t33 () (tptp.mrel @t7 @t6)) % 0.63/0.81 (define @t34 () (tptp.mrel @t1 @t6)) % 0.63/0.81 (define @t35 () (not @t9)) % 0.63/0.81 (define @t36 () (tptp.mrel @t1 @t7)) % 0.63/0.81 (define @t37 () (not @t10)) % 0.63/0.81 (define @t38 () (or @t37 @t35 @t8)) % 0.63/0.81 (define @t39 () (@var "BOUND_VARIABLE_7637" tptp.mworld)) % 0.63/0.81 (define @t40 () (tptp.q @t39)) % 0.63/0.81 (define @t41 () (@list @t39)) % 0.63/0.81 (define @t42 () (@var "BOUND_VARIABLE_7645" tptp.mworld)) % 0.63/0.81 (define @t43 () (tptp.p @t42)) % 0.63/0.81 (define @t44 () (@list @t42)) % 0.63/0.81 (define @t45 () (= (forall @t44 (or (not (tptp.mrel @t6 @t42)) @t43)) (forall @t41 (or (not (tptp.mrel @t6 @t39)) @t40)))) % 0.63/0.81 (define @t46 () (not (tptp.mrel tptp.mactual @t6))) % 0.63/0.81 (define @t47 () (forall @t28 (or @t46 @t45))) % 0.63/0.81 (define @t48 () (tptp.q @t6)) % 0.63/0.81 (define @t49 () (tptp.p @t6)) % 0.63/0.81 (define @t50 () (= @t49 @t48)) % 0.63/0.81 (define @t51 () (forall @t28 (or @t46 @t50))) % 0.63/0.81 (define @t52 () (not @t34)) % 0.63/0.81 (define @t53 () (forall @t28 (or @t52 @t45))) % 0.63/0.81 (define @t54 () (forall @t28 (or @t52 @t50))) % 0.63/0.81 (define @t55 () (lambda @t4 (=> @t54 @t53))) % 0.63/0.81 (define @t56 () (_ @t55 tptp.mactual)) % 0.63/0.81 (define @t57 () (lambda @t4 @t53)) % 0.63/0.81 (define @t58 () (_ @t57 @t1)) % 0.63/0.81 (define @t59 () (=> @t54 @t58)) % 0.63/0.81 (define @t60 () (lambda @t4 @t59)) % 0.63/0.81 (define @t61 () (@list @t20 @t1)) % 0.63/0.81 (define @t62 () (forall @t28 (or @t52 @t48))) % 0.63/0.81 (define @t63 () (@list @t6)) % 0.63/0.81 (define @t64 () (forall @t28 (or @t52 @t49))) % 0.63/0.81 (define @t65 () (= @t64 @t62)) % 0.63/0.81 (define @t66 () (lambda @t4 @t65)) % 0.63/0.81 (define @t67 () (or @t52 (_ @t66 @t6))) % 0.63/0.81 (define @t68 () (forall @t28 @t67)) % 0.63/0.81 (define @t69 () (lambda @t4 @t68)) % 0.63/0.81 (define @t70 () (_ @t15 @t6)) % 0.63/0.81 (define @t71 () (lambda @t30 (forall @t28 (or @t52 @t70)))) % 0.63/0.81 (define @t72 () (lambda @t4 @t62)) % 0.63/0.81 (define @t73 () (_ @t72 @t1)) % 0.63/0.81 (define @t74 () (lambda @t4 (= @t73 @t64))) % 0.63/0.81 (define @t75 () (_ @t71 tptp.q)) % 0.63/0.81 (define @t76 () (lambda @t4 @t64)) % 0.63/0.81 (define @t77 () (_ @t76 @t1)) % 0.63/0.81 (define @t78 () (lambda @t61 (= @t77 @t21))) % 0.63/0.81 (define @t79 () (_ @t71 tptp.p)) % 0.63/0.81 (define @t80 () (lambda @t4 @t54)) % 0.63/0.81 (define @t81 () (_ @t80 @t1)) % 0.63/0.81 (define @t82 () (=> @t81 @t21)) % 0.63/0.81 (define @t83 () (lambda @t61 @t82)) % 0.63/0.81 (define @t84 () (_ tptp.q @t6)) % 0.63/0.81 (define @t85 () (_ tptp.p @t6)) % 0.63/0.81 (define @t86 () (= @t85 @t84)) % 0.63/0.81 (define @t87 () (or @t52 @t86)) % 0.63/0.81 (define @t88 () (_ tptp.q @t1)) % 0.63/0.81 (define @t89 () (_ tptp.p @t1)) % 0.63/0.81 (define @t90 () (lambda @t4 (= @t89 @t88))) % 0.63/0.81 (define @t91 () (_ @t90 @t6)) % 0.63/0.81 (define @t92 () (or @t52 @t91)) % 0.63/0.81 (define @t93 () (forall @t28 @t92)) % 0.63/0.81 (define @t94 () (lambda @t4 @t93)) % 0.63/0.81 (define @t95 () (lambda @t4 (= @t88 @t89))) % 0.63/0.81 (define @t96 () (lambda @t61 (= @t89 @t21))) % 0.63/0.81 (define @t97 () (_ @t26 tptp.p)) % 0.63/0.81 (define @t98 () (or @t35 @t27)) % 0.63/0.81 (define @t99 () (@quantifiers_skolemize @t47 0)) % 0.63/0.81 (define @t100 () (forall @t44 (or (not (tptp.mrel @t99 @t42)) @t43))) % 0.63/0.81 (define @t101 () (@quantifiers_skolemize @t100 0)) % 0.63/0.81 (define @t102 () (@list @t101)) % 0.63/0.81 (define @t103 () (forall @t41 (or (not (tptp.mrel @t99 @t39)) @t40))) % 0.63/0.81 (define @t104 () (= @t100 @t103)) % 0.63/0.81 (define @t105 () (tptp.mrel tptp.mactual @t99)) % 0.63/0.81 (define @t106 () (not @t105)) % 0.63/0.81 (define @t107 () (or @t106 @t104)) % 0.63/0.81 (define @t108 () (@list true)) % 0.63/0.81 (define @t109 () (@list @t107)) % 0.63/0.81 (define @t110 () (@quantifiers_skolemize @t103 0)) % 0.63/0.81 (define @t111 () (@list @t110)) % 0.63/0.81 (define @t112 () (tptp.p @t110)) % 0.63/0.81 (define @t113 () (tptp.mrel @t99 @t110)) % 0.63/0.81 (define @t114 () (not @t113)) % 0.63/0.81 (define @t115 () (or @t114 @t112)) % 0.63/0.81 (define @t116 () (tptp.q @t110)) % 0.63/0.81 (define @t117 () (or @t114 @t116)) % 0.63/0.81 (define @t118 () (not @t117)) % 0.63/0.81 (define @t119 () (not @t103)) % 0.63/0.81 (define @t120 () (tptp.mrel @t1 @t1)) % 0.63/0.81 (define @t121 () (tptp.mrel @t99 tptp.mactual)) % 0.63/0.81 (define @t122 () (tptp.mrel tptp.mactual tptp.mactual)) % 0.63/0.81 (define @t123 () (not @t122)) % 0.63/0.81 (define @t124 () (or @t106 @t123 @t121)) % 0.63/0.81 (define @t125 () (tptp.mrel tptp.mactual @t110)) % 0.63/0.81 (define @t126 () (not @t121)) % 0.63/0.81 (define @t127 () (or @t126 @t114 @t125)) % 0.63/0.81 (define @t128 () (= @t116 @t112)) % 0.63/0.81 (define @t129 () (not @t125)) % 0.63/0.81 (define @t130 () (or @t129 (= @t112 @t116))) % 0.63/0.81 (define @t131 () (or @t129 @t128)) % 0.63/0.81 (define @t132 () (@list false)) % 0.63/0.81 (define @t133 () (not @t100)) % 0.63/0.81 (define @t134 () (tptp.q @t101)) % 0.63/0.81 (define @t135 () (tptp.mrel @t99 @t101)) % 0.63/0.81 (define @t136 () (not @t135)) % 0.63/0.81 (define @t137 () (or @t136 @t134)) % 0.63/0.81 (define @t138 () (tptp.p @t101)) % 0.63/0.81 (define @t139 () (or @t136 @t138)) % 0.63/0.81 (define @t140 () (not @t139)) % 0.63/0.81 (define @t141 () (@list @t139)) % 0.63/0.81 (define @t142 () (= @t138 @t134)) % 0.63/0.81 (define @t143 () (not @t142)) % 0.63/0.81 (define @t144 () (@list true false)) % 0.63/0.81 (define @t145 () (tptp.mrel tptp.mactual @t101)) % 0.63/0.81 (define @t146 () (not @t145)) % 0.63/0.81 (define @t147 () (or @t146 @t142)) % 0.63/0.81 (define @t148 () (or @t126 @t136 @t145)) % 0.63/0.81 (define @t149 () (not @t148)) % 0.63/0.81 (define @t150 () (forall @t12 (or (not @t36) @t52 @t33))) % 0.63/0.81 (assume @p1 @t5) % 0.63/0.81 (assume @p2 @t13) % 0.63/0.81 (assume @p3 @t14) % 0.63/0.81 (assume @p4 true) % 0.63/0.81 (step @p5 (= tptp.mlocal @t16) :rule refl :args (@t16)) % 0.63/0.81 (step @p6 (= tptp.mnot @t19) :rule refl :args (@t19)) % 0.63/0.81 (step @p7 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.63/0.81 (step @p8 (= tptp.mor @t24) :rule refl :args (@t24)) % 0.63/0.81 (step @p9 (= tptp.mimplies @t25) :rule refl :args (@t25)) % 0.63/0.81 (step @p10 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.63/0.81 (step @p11 (= tptp.mbox @t31) :rule refl :args (@t31)) % 0.63/0.81 (step @p12 (= tptp.mdia @t32) :rule refl :args (@t32)) % 0.63/0.81 (step @p13 :rule refl :args (@t33)) % 0.63/0.81 (step @p14 :rule refl :args (@t8)) % 0.63/0.81 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t8 @t33))) % 0.63/0.81 (step @p16 :rule symm :premises (@p15)) % 0.63/0.81 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.63/0.81 (step @p18 :rule refl :args (@t34)) % 0.63/0.81 (step @p19 :rule refl :args (@t9)) % 0.63/0.81 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t9 @t34))) % 0.63/0.81 (step @p21 :rule symm :premises (@p20)) % 0.63/0.81 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.63/0.81 (step @p23 :rule cong :premises (@p22) :args (@t35)) % 0.63/0.81 (step @p24 :rule refl :args (@t36)) % 0.63/0.81 (step @p25 :rule refl :args (@t10)) % 0.63/0.81 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t10 @t36))) % 0.63/0.81 (step @p27 :rule symm :premises (@p26)) % 0.63/0.81 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.63/0.81 (step @p29 :rule cong :premises (@p28) :args (@t37)) % 0.63/0.81 (step @p30 :rule nary_cong :premises (@p29 @p23 @p17) :args (@t38)) % 0.63/0.81 (step @p31 :rule cong :premises (@p30) :args ((forall @t12 @t38))) % 0.63/0.81 (step @p32 :rule aci_norm :args ((= (or (or @t37 @t35) @t8) @t38))) % 0.63/0.81 (step @p33 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 0.63/0.81 (step @p34 :rule nary_cong :premises (@p33 @p14) :args ((or (not @t11) @t8))) % 0.63/0.81 (step @p35 :rule trans :premises (@p34 @p32)) % 0.63/0.81 (step @p36 :rule bool-impl-elim :args (@t11 @t8)) % 0.63/0.81 (step @p37 :rule trans :premises (@p36 @p35)) % 0.63/0.81 (step @p38 :rule cong :premises (@p37) :args (@t13)) % 0.63/0.81 (step @p39 :rule trans :premises (@p38 @p31)) % 0.63/0.81 (step @p40 :rule eq_resolve :premises (@p2 @p39)) % 0.63/0.81 (step @p41 :rule beta-reduce :args ((= @t56 (=> @t51 @t47)))) % 0.63/0.81 (step @p42 :rule beta-reduce :args ((= (_ @t16 @t55) @t56))) % 0.63/0.81 (step @p43 :rule trans :premises (@p42 @p41)) % 0.63/0.81 (step @p44 :rule beta-reduce :args ((= @t58 @t53))) % 0.63/0.81 (step @p45 :rule refl :args (@t54)) % 0.63/0.81 (step @p46 :rule cong :premises (@p45 @p44) :args (@t59)) % 0.63/0.81 (step @p47 :rule cong :premises (@p46) :args (@t60)) % 0.63/0.81 (step @p48 :rule beta-reduce :args ((= (_ (lambda @t61 (=> @t54 @t21)) @t57) @t60))) % 0.63/0.81 (step @p49 :rule trans :premises (@p48 @p47)) % 0.63/0.81 (step @p50 :rule beta-reduce :args ((= (_ (lambda @t4 (= (forall @t44 (or (not (tptp.mrel @t1 @t42)) @t43)) (forall @t41 (or (not (tptp.mrel @t1 @t39)) @t40)))) @t6) @t45))) % 0.63/0.81 (step @p51 :rule refl :args (@t6)) % 0.63/0.81 (step @p52 :rule alpha_equiv :args (@t62 @t63 (@list @t39))) % 0.63/0.81 (step @p53 :rule alpha_equiv :args (@t64 @t63 (@list @t42))) % 0.63/0.81 (step @p54 :rule cong :premises (@p53 @p52) :args (@t65)) % 0.63/0.81 (step @p55 :rule cong :premises (@p54) :args (@t66)) % 0.63/0.81 (step @p56 :rule ho_cong :premises (@p55 @p51)) % 0.63/0.81 (step @p57 :rule trans :premises (@p56 @p50)) % 0.63/0.81 (step @p58 :rule refl :args (@t52)) % 0.63/0.81 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t67)) % 0.63/0.81 (step @p60 :rule cong :premises (@p59) :args (@t68)) % 0.63/0.81 (step @p61 :rule cong :premises (@p60) :args (@t69)) % 0.63/0.81 (step @p62 :rule beta-reduce :args ((= (_ @t71 @t66) @t69))) % 0.63/0.81 (step @p63 :rule trans :premises (@p62 @p61)) % 0.63/0.81 (step @p64 :rule beta-reduce :args ((= @t73 @t62))) % 0.63/0.81 (step @p65 :rule refl :args (@t64)) % 0.63/0.81 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t64 @t73))) % 0.63/0.81 (step @p67 :rule eq-symm :args (@t73 @t64)) % 0.63/0.81 (step @p68 :rule trans :premises (@p67 @p66)) % 0.63/0.81 (step @p69 :rule cong :premises (@p68) :args (@t74)) % 0.63/0.81 (step @p70 :rule beta-reduce :args ((= (_ (lambda @t61 (= @t21 @t64)) @t72) @t74))) % 0.63/0.81 (step @p71 :rule trans :premises (@p70 @p69)) % 0.63/0.81 (step @p72 :rule beta-reduce :args ((= @t75 @t72))) % 0.63/0.81 (step @p73 :rule beta-reduce :args ((= @t77 @t64))) % 0.63/0.81 (step @p74 :rule refl :args (@t21)) % 0.63/0.81 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t21 @t77))) % 0.63/0.81 (step @p76 :rule eq-symm :args (@t77 @t21)) % 0.63/0.81 (step @p77 :rule trans :premises (@p76 @p75)) % 0.63/0.81 (step @p78 :rule cong :premises (@p77) :args (@t78)) % 0.63/0.81 (step @p79 :rule beta-reduce :args ((= (_ @t26 @t76) @t78))) % 0.63/0.81 (step @p80 :rule trans :premises (@p79 @p78)) % 0.63/0.81 (step @p81 :rule beta-reduce :args ((= @t79 @t76))) % 0.63/0.81 (step @p82 :rule refl :args (@t26)) % 0.63/0.81 (step @p83 :rule ho_cong :premises (@p82 @p81)) % 0.63/0.81 (step @p84 :rule 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(step @p116 :rule eq-symm :args (@t88 @t89)) % 0.63/0.81 (step @p117 :rule cong :premises (@p116) :args (@t95)) % 0.63/0.81 (step @p118 :rule beta-reduce :args ((= (_ (lambda @t61 (= @t21 @t89)) tptp.q) @t95))) % 0.63/0.81 (step @p119 :rule trans :premises (@p118 @p117)) % 0.63/0.81 (step @p120 :rule refl :args (tptp.q)) % 0.63/0.81 (step @p121 :rule eq-symm :args (@t89 @t21)) % 0.63/0.81 (step @p122 :rule cong :premises (@p121) :args (@t96)) % 0.63/0.81 (step @p123 :rule beta-reduce :args ((= @t97 @t96))) % 0.63/0.81 (step @p124 :rule trans :premises (@p123 @p122)) % 0.63/0.81 (step @p125 :rule ho_cong :premises (@p124 @p120)) % 0.63/0.81 (step @p126 :rule trans :premises (@p125 @p119)) % 0.63/0.81 (step @p127 :rule ho_cong :premises (@p87 @p126)) % 0.63/0.81 (step @p128 :rule trans :premises (@p127 @p115)) % 0.63/0.81 (step @p129 :rule refl :args (@t25)) % 0.63/0.81 (step @p130 :rule ho_cong :premises (@p129 @p128)) % 0.63/0.81 (step @p131 :rule trans :premises (@p130 @p94)) % 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:rule eq_resolve :premises (@p256 @p255)) % 0.63/0.81 (step @p258 :rule reordering :premises (@p257) :args ((or @t135 @t139))) % 0.63/0.81 (step @p259 :rule chain_m_resolution :premises (@p258 @p252) :args (@t135 @t108 @t141)) % 0.63/0.81 (step @p260 :rule cnf_or_pos :args (@t137)) % 0.63/0.81 (step @p261 :rule reordering :premises (@p260) :args ((or @t136 @t134 (not @t137)))) % 0.63/0.81 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p242) :args (@t134 (@list false false) (@list @t135 @t137))) % 0.63/0.81 (step @p263 :rule cnf_or_neg :args (@t139 1)) % 0.63/0.81 (step @p264 :rule chain_m_resolution :premises (@p263 @p252) :args ((not @t138) @t108 @t141)) % 0.63/0.81 (step @p265 :rule cnf_equiv_pos2 :args (@t142)) % 0.63/0.81 (step @p266 :rule reordering :premises (@p265) :args ((or @t138 (not @t134) @t143))) % 0.63/0.81 (step @p267 :rule chain_m_resolution :premises (@p266 @p264 @p262) :args (@t143 @t144 (@list @t138 @t134))) % 0.63/0.81 (step @p268 :rule cnf_or_pos :args (@t147)) % 0.63/0.81 (step @p269 :rule reordering :premises (@p268) :args ((or @t146 @t142 (not @t147)))) % 0.63/0.81 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p166) :args (@t146 @t144 (@list @t142 @t147))) % 0.63/0.81 (step @p271 :rule cnf_or_pos :args (@t148)) % 0.63/0.81 (step @p272 :rule reordering :premises (@p271) :args ((or @t126 @t136 @t145 @t149))) % 0.63/0.81 (step @p273 :rule chain_m_resolution :premises (@p272 @p213 @p259 @p270) :args (@t149 (@list false false true) (@list @t121 @t135 @t145))) % 0.63/0.81 (assume-push @p290 @t150) % 0.63/0.81 (step @p275 :rule instantiate :premises (@p40) :args ((@list @t99 @t101 tptp.mactual))) % 0.63/0.81 (step-pop @p291 :rule scope :premises (@p275)) % 0.63/0.81 (step @p276 :rule process_scope :premises (@p291) :args (@t148)) % 0.63/0.81 (step @p278 :rule implies_elim :premises (@p276)) % 0.63/0.81 (step @p279 false :rule chain_m_resolution :premises (@p278 @p273 @p40) :args (false @t144 (@list @t148 @t150))) % 0.63/0.81 ) % 0.63/0.81 % SZS output end Proof % 0.63/0.81 % cvc5 exiting %------------------------------------------------------------------------------