%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO896^7 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 09:13:44 AM UTC 2026 % Result : Theorem 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO896^7 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:09:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TH0 % 0.41/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.59 % SZS status Theorem % 0.41/0.59 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (declare-sort tptp.mworld 0) % 0.41/0.59 (declare-const tptp.mactual tptp.mworld) % 0.41/0.59 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.41/0.59 (declare-const tptp.q (-> tptp.mworld Bool)) % 0.41/0.59 (declare-const tptp.p (-> tptp.mworld Bool)) % 0.41/0.59 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.41/0.59 (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)))))) % 0.41/0.59 (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))))))) % 0.41/0.59 (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))))))) % 0.41/0.59 (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))))))) % 0.41/0.59 (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))))))) % 0.41/0.59 (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)))))))) % 0.41/0.59 (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)))))))) % 0.41/0.59 (define @t1 () (_ tptp.mimplies tptp.p)) % 0.41/0.59 (define @t2 () (not (_ tptp.mlocal (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox (_ @t1 tptp.q))) (_ tptp.mbox (_ @t1 (_ tptp.mnot tptp.q))))) (_ tptp.mnot (_ tptp.mdia tptp.p)))))) % 0.41/0.59 (define @t3 () (@var "Phi" (-> tptp.mworld Bool))) % 0.41/0.59 (define @t4 () (lambda (@list @t3) (_ @t3 tptp.mactual))) % 0.41/0.59 (define @t5 () (@var "W" tptp.mworld)) % 0.41/0.59 (define @t6 () (@var "A" (-> tptp.mworld Bool))) % 0.41/0.59 (define @t7 () (_ @t6 @t5)) % 0.41/0.59 (define @t8 () (lambda (@list @t6 @t5) (not @t7))) % 0.41/0.59 (define @t9 () (@var "B" (-> tptp.mworld Bool))) % 0.41/0.59 (define @t10 () (_ @t9 @t5)) % 0.41/0.59 (define @t11 () (@list @t6 @t9 @t5)) % 0.41/0.59 (define @t12 () (lambda @t11 (and @t7 @t10))) % 0.41/0.59 (define @t13 () (lambda @t11 (or @t7 @t10))) % 0.41/0.59 (define @t14 () (lambda @t11 (=> @t7 @t10))) % 0.41/0.59 (define @t15 () (lambda @t11 (= @t7 @t10))) % 0.41/0.59 (define @t16 () (@var "V" tptp.mworld)) % 0.41/0.59 (define @t17 () (_ @t3 @t16)) % 0.41/0.59 (define @t18 () (_ (_ tptp.mrel @t5) @t16)) % 0.41/0.59 (define @t19 () (@list @t16)) % 0.41/0.59 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.41/0.59 (define @t21 () (@list @t3 @t5)) % 0.41/0.59 (define @t22 () (lambda @t21 @t20)) % 0.41/0.59 (define @t23 () (and @t18 @t17)) % 0.41/0.59 (define @t24 () (exists @t19 @t23)) % 0.41/0.59 (define @t25 () (lambda @t21 @t24)) % 0.41/0.59 (define @t26 () (tptp.p @t16)) % 0.41/0.59 (define @t27 () (not @t26)) % 0.41/0.59 (define @t28 () (not (tptp.mrel tptp.mactual @t16))) % 0.41/0.59 (define @t29 () (forall @t19 (or @t28 @t27))) % 0.41/0.59 (define @t30 () (tptp.q @t16)) % 0.41/0.59 (define @t31 () (not @t30)) % 0.41/0.59 (define @t32 () (tptp.mrel @t5 @t16)) % 0.41/0.59 (define @t33 () (not @t32)) % 0.41/0.59 (define @t34 () (forall @t19 (or @t33 @t27))) % 0.41/0.59 (define @t35 () (forall @t19 (or @t33 @t27 @t31))) % 0.41/0.59 (define @t36 () (forall @t19 (or @t33 @t27 @t30))) % 0.41/0.59 (define @t37 () (and @t36 @t35)) % 0.41/0.59 (define @t38 () (@list @t5)) % 0.41/0.59 (define @t39 () (lambda @t38 (=> @t37 @t34))) % 0.41/0.59 (define @t40 () (_ @t39 tptp.mactual)) % 0.41/0.59 (define @t41 () (lambda @t38 @t34)) % 0.41/0.59 (define @t42 () (_ @t41 @t5)) % 0.41/0.59 (define @t43 () (=> @t37 @t42)) % 0.41/0.59 (define @t44 () (lambda @t38 @t43)) % 0.41/0.59 (define @t45 () (@list @t9 @t5)) % 0.41/0.59 (define @t46 () (not @t34)) % 0.41/0.59 (define @t47 () (lambda @t38 @t46)) % 0.41/0.59 (define @t48 () (_ @t47 @t5)) % 0.41/0.59 (define @t49 () (not @t48)) % 0.41/0.59 (define @t50 () (lambda @t38 @t49)) % 0.41/0.59 (define @t51 () (_ @t3 @t16)) % 0.41/0.59 (define @t52 () (_ (lambda @t21 (not (forall @t19 (or @t33 (not @t51))))) tptp.p)) % 0.41/0.59 (define @t53 () (lambda @t38 @t37)) % 0.41/0.59 (define @t54 () (_ @t53 @t5)) % 0.41/0.59 (define @t55 () (=> @t54 @t10)) % 0.41/0.59 (define @t56 () (lambda @t45 @t55)) % 0.41/0.59 (define @t57 () (lambda @t38 @t35)) % 0.41/0.59 (define @t58 () (_ @t57 @t5)) % 0.41/0.59 (define @t59 () (and @t36 @t58)) % 0.41/0.59 (define @t60 () (lambda @t38 @t59)) % 0.41/0.59 (define @t61 () (_ tptp.q @t16)) % 0.41/0.59 (define @t62 () (not @t61)) % 0.41/0.59 (define @t63 () (_ tptp.p @t16)) % 0.41/0.59 (define @t64 () (not @t63)) % 0.41/0.59 (define @t65 () (or @t33 @t64 @t62)) % 0.41/0.59 (define @t66 () (=> @t63 @t62)) % 0.41/0.59 (define @t67 () (or @t33 @t66)) % 0.41/0.59 (define @t68 () (_ tptp.q @t5)) % 0.41/0.59 (define @t69 () (not @t68)) % 0.41/0.59 (define @t70 () (_ tptp.p @t5)) % 0.41/0.59 (define @t71 () (lambda @t38 (=> @t70 @t69))) % 0.41/0.59 (define @t72 () (_ @t71 @t16)) % 0.41/0.59 (define @t73 () (or @t33 @t72)) % 0.41/0.59 (define @t74 () (forall @t19 @t73)) % 0.41/0.59 (define @t75 () (lambda @t38 @t74)) % 0.41/0.59 (define @t76 () (lambda @t21 (forall @t19 (or @t33 @t51)))) % 0.41/0.59 (define @t77 () (lambda @t38 @t69)) % 0.41/0.59 (define @t78 () (_ @t77 @t5)) % 0.41/0.59 (define @t79 () (=> @t70 @t78)) % 0.41/0.59 (define @t80 () (lambda @t38 @t79)) % 0.41/0.59 (define @t81 () (lambda @t45 (=> @t70 @t10))) % 0.41/0.59 (define @t82 () (_ @t8 tptp.q)) % 0.41/0.59 (define @t83 () (_ @t14 tptp.p)) % 0.41/0.59 (define @t84 () (lambda @t38 @t36)) % 0.41/0.59 (define @t85 () (_ @t84 @t5)) % 0.41/0.59 (define @t86 () (and @t85 @t10)) % 0.41/0.59 (define @t87 () (lambda @t45 @t86)) % 0.41/0.59 (define @t88 () (or @t33 @t64 @t61)) % 0.41/0.59 (define @t89 () (=> @t63 @t61)) % 0.41/0.59 (define @t90 () (or @t33 @t89)) % 0.41/0.59 (define @t91 () (lambda @t38 (=> @t70 @t68))) % 0.41/0.59 (define @t92 () (_ @t91 @t16)) % 0.41/0.59 (define @t93 () (or @t33 @t92)) % 0.41/0.59 (define @t94 () (forall @t19 @t93)) % 0.41/0.59 (define @t95 () (lambda @t38 @t94)) % 0.41/0.59 (define @t96 () (not @t17)) % 0.41/0.59 (define @t97 () (not @t18)) % 0.41/0.59 (define @t98 () (or @t97 @t96)) % 0.41/0.59 (define @t99 () (forall @t19 (not @t23))) % 0.41/0.59 (define @t100 () (not @t99)) % 0.41/0.59 (define @t101 () (or @t97 @t17)) % 0.41/0.59 (define @t102 () (@quantifiers_skolemize @t29 0)) % 0.41/0.59 (define @t103 () (tptp.mrel tptp.mactual @t102)) % 0.41/0.59 (define @t104 () (tptp.p @t102)) % 0.41/0.59 (define @t105 () (not @t104)) % 0.41/0.59 (define @t106 () (not @t103)) % 0.41/0.59 (define @t107 () (or @t106 @t105)) % 0.41/0.59 (define @t108 () (@list true)) % 0.41/0.59 (define @t109 () (@list @t107)) % 0.41/0.59 (define @t110 () (@list @t102)) % 0.41/0.59 (define @t111 () (tptp.q @t102)) % 0.41/0.59 (define @t112 () (or @t106 @t105 @t111)) % 0.41/0.59 (define @t113 () (not @t111)) % 0.41/0.59 (define @t114 () (or @t106 @t105 @t113)) % 0.41/0.59 (assume @p1 @t2) % 0.41/0.59 (assume @p2 true) % 0.41/0.59 (step @p3 (= tptp.mlocal @t4) :rule refl :args (@t4)) % 0.41/0.59 (step @p4 (= tptp.mnot @t8) :rule refl :args (@t8)) % 0.41/0.59 (step @p5 (= tptp.mand @t12) :rule refl :args (@t12)) % 0.41/0.59 (step @p6 (= tptp.mor @t13) :rule refl :args (@t13)) % 0.41/0.59 (step @p7 (= tptp.mimplies @t14) :rule refl :args (@t14)) % 0.41/0.59 (step @p8 (= tptp.mequiv @t15) :rule refl :args (@t15)) % 0.41/0.59 (step @p9 (= tptp.mbox @t22) :rule refl :args (@t22)) % 0.41/0.59 (step @p10 (= tptp.mdia @t25) :rule refl :args (@t25)) % 0.41/0.59 (step @p11 :rule beta-reduce :args ((= @t40 (=> (and (forall @t19 (or @t28 @t27 @t30)) (forall @t19 (or @t28 @t27 @t31))) @t29)))) % 0.41/0.59 (step @p12 :rule beta-reduce :args ((= (_ @t4 @t39) @t40))) % 0.41/0.59 (step @p13 :rule trans :premises (@p12 @p11)) % 0.41/0.59 (step @p14 :rule beta-reduce :args ((= @t42 @t34))) % 0.41/0.59 (step @p15 :rule refl :args (@t37)) % 0.41/0.59 (step @p16 :rule cong :premises (@p15 @p14) :args (@t43)) % 0.41/0.59 (step @p17 :rule cong :premises (@p16) :args (@t44)) % 0.41/0.59 (step @p18 :rule beta-reduce :args ((= (_ (lambda @t45 (=> @t37 @t10)) @t41) @t44))) % 0.41/0.59 (step @p19 :rule trans :premises (@p18 @p17)) % 0.41/0.59 (step @p20 :rule bool-double-not-elim :args (@t34)) % 0.41/0.59 (step @p21 :rule beta-reduce :args ((= @t48 @t46))) % 0.41/0.59 (step @p22 :rule cong :premises (@p21) :args (@t49)) % 0.41/0.59 (step @p23 :rule trans :premises (@p22 @p20)) % 0.41/0.59 (step @p24 :rule cong :premises (@p23) :args (@t50)) % 0.41/0.59 (step @p25 :rule beta-reduce :args ((= (_ @t8 @t47) @t50))) % 0.41/0.59 (step @p26 :rule trans :premises (@p25 @p24)) % 0.41/0.59 (step @p27 :rule beta-reduce :args ((= @t52 @t47))) % 0.41/0.59 (step @p28 :rule refl :args (@t8)) % 0.41/0.59 (step @p29 :rule ho_cong :premises (@p28 @p27)) % 0.41/0.59 (step @p30 :rule trans :premises (@p29 @p26)) % 0.41/0.59 (step @p31 :rule refl :args (@t10)) % 0.41/0.59 (step @p32 :rule beta-reduce :args ((= @t54 @t37))) % 0.41/0.59 (step @p33 :rule cong :premises (@p32 @p31) :args (@t55)) % 0.41/0.59 (step @p34 :rule cong :premises (@p33) :args (@t56)) % 0.41/0.59 (step @p35 :rule beta-reduce :args ((= (_ @t14 @t53) @t56))) % 0.41/0.59 (step @p36 :rule trans :premises (@p35 @p34)) % 0.41/0.59 (step @p37 :rule beta-reduce :args ((= @t58 @t35))) % 0.41/0.59 (step @p38 :rule refl :args (@t36)) % 0.41/0.59 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t59)) % 0.41/0.59 (step @p40 :rule cong :premises (@p39) :args (@t60)) % 0.41/0.59 (step @p41 :rule beta-reduce :args ((= (_ (lambda @t45 (and @t36 @t10)) @t57) @t60))) % 0.41/0.59 (step @p42 :rule trans :premises (@p41 @p40)) % 0.41/0.59 (step @p43 :rule refl :args (@t30)) % 0.41/0.59 (step @p44 :rule refl :args (@t61)) % 0.41/0.59 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t61 @t30))) % 0.41/0.59 (step @p46 :rule symm :premises (@p45)) % 0.41/0.59 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.41/0.59 (step @p48 :rule cong :premises (@p47) :args (@t62)) % 0.41/0.59 (step @p49 :rule refl :args (@t26)) % 0.41/0.59 (step @p50 :rule refl :args (@t63)) % 0.41/0.59 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t63 @t26))) % 0.41/0.59 (step @p52 :rule symm :premises (@p51)) % 0.41/0.59 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.41/0.59 (step @p54 :rule cong :premises (@p53) :args (@t64)) % 0.41/0.59 (step @p55 :rule refl :args (@t33)) % 0.41/0.59 (step @p56 :rule nary_cong :premises (@p55 @p54 @p48) :args (@t65)) % 0.41/0.59 (step @p57 :rule cong :premises (@p56) :args ((forall @t19 @t65))) % 0.41/0.59 (step @p58 :rule aci_norm :args ((= (or @t33 (or @t64 @t62)) @t65))) % 0.41/0.59 (step @p59 :rule bool-impl-elim :args (@t63 @t62)) % 0.41/0.59 (step @p60 :rule nary_cong :premises (@p55 @p59) :args (@t67)) % 0.41/0.59 (step @p61 :rule trans :premises (@p60 @p58)) % 0.41/0.59 (step @p62 :rule cong :premises (@p61) :args ((forall @t19 @t67))) % 0.41/0.59 (step @p63 :rule trans :premises (@p62 @p57)) % 0.41/0.59 (step @p64 :rule beta-reduce :args ((= @t72 @t66))) % 0.41/0.59 (step @p65 :rule refl :args (@t33)) % 0.41/0.59 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t73)) % 0.41/0.59 (step @p67 :rule cong :premises (@p66) :args (@t74)) % 0.41/0.59 (step @p68 :rule trans :premises (@p67 @p63)) % 0.41/0.59 (step @p69 :rule cong :premises (@p68) :args (@t75)) % 0.41/0.59 (step @p70 :rule beta-reduce :args ((= (_ @t76 @t71) @t75))) % 0.41/0.59 (step @p71 :rule trans :premises (@p70 @p69)) % 0.41/0.59 (step @p72 :rule beta-reduce :args ((= @t78 @t69))) % 0.41/0.59 (step @p73 :rule refl :args (@t70)) % 0.41/0.59 (step @p74 :rule cong :premises (@p73 @p72) :args (@t79)) % 0.41/0.59 (step @p75 :rule cong :premises (@p74) :args (@t80)) % 0.41/0.59 (step @p76 :rule beta-reduce :args ((= (_ @t81 @t77) @t80))) % 0.41/0.59 (step @p77 :rule trans :premises (@p76 @p75)) % 0.41/0.59 (step @p78 :rule beta-reduce :args ((= @t82 @t77))) % 0.41/0.59 (step @p79 :rule beta-reduce :args ((= @t83 @t81))) % 0.41/0.59 (step @p80 :rule ho_cong :premises (@p79 @p78)) % 0.41/0.59 (step @p81 :rule trans :premises (@p80 @p77)) % 0.41/0.59 (step @p82 :rule refl :args (@t76)) % 0.41/0.59 (step @p83 :rule ho_cong :premises (@p82 @p81)) % 0.41/0.59 (step @p84 :rule trans :premises (@p83 @p71)) % 0.41/0.59 (step @p85 :rule beta-reduce :args ((= @t85 @t36))) % 0.41/0.59 (step @p86 :rule nary_cong :premises (@p85 @p31) :args (@t86)) % 0.41/0.59 (step @p87 :rule cong :premises (@p86) :args (@t87)) % 0.41/0.59 (step @p88 :rule beta-reduce :args ((= (_ @t12 @t84) @t87))) % 0.41/0.59 (step @p89 :rule trans :premises (@p88 @p87)) % 0.41/0.59 (step @p90 :rule nary_cong :premises (@p55 @p54 @p47) :args (@t88)) % 0.41/0.59 (step @p91 :rule cong :premises (@p90) :args ((forall @t19 @t88))) % 0.41/0.59 (step @p92 :rule aci_norm :args ((= (or @t33 (or @t64 @t61)) @t88))) % 0.41/0.59 (step @p93 :rule bool-impl-elim :args (@t63 @t61)) % 0.41/0.59 (step @p94 :rule nary_cong :premises (@p55 @p93) :args (@t90)) % 0.41/0.59 (step @p95 :rule trans :premises (@p94 @p92)) % 0.41/0.59 (step @p96 :rule cong :premises (@p95) :args ((forall @t19 @t90))) % 0.41/0.59 (step @p97 :rule trans :premises (@p96 @p91)) % 0.41/0.59 (step @p98 :rule beta-reduce :args ((= @t92 @t89))) % 0.41/0.59 (step @p99 :rule nary_cong :premises (@p65 @p98) :args (@t93)) % 0.41/0.59 (step @p100 :rule cong :premises (@p99) :args (@t94)) % 0.41/0.59 (step @p101 :rule trans :premises (@p100 @p97)) % 0.41/0.59 (step @p102 :rule cong :premises (@p101) :args (@t95)) % 0.41/0.59 (step @p103 :rule beta-reduce :args ((= (_ @t76 @t91) @t95))) % 0.41/0.59 (step @p104 :rule trans :premises (@p103 @p102)) % 0.41/0.59 (step @p105 :rule beta-reduce :args ((= (_ @t81 tptp.q) @t91))) % 0.41/0.59 (step @p106 :rule refl :args (tptp.q)) % 0.41/0.59 (step @p107 :rule ho_cong :premises (@p79 @p106)) % 0.41/0.59 (step @p108 :rule trans :premises (@p107 @p105)) % 0.41/0.59 (step @p109 :rule ho_cong :premises (@p82 @p108)) % 0.41/0.59 (step @p110 :rule trans :premises (@p109 @p104)) % 0.41/0.59 (step @p111 :rule refl :args (@t12)) % 0.41/0.59 (step @p112 :rule ho_cong :premises (@p111 @p110)) % 0.41/0.59 (step @p113 :rule trans :premises (@p112 @p89)) % 0.41/0.59 (step @p114 :rule ho_cong :premises (@p113 @p84)) % 0.41/0.59 (step @p115 :rule trans :premises (@p114 @p42)) % 0.41/0.59 (step @p116 :rule refl :args (@t14)) % 0.41/0.59 (step @p117 :rule ho_cong :premises (@p116 @p115)) % 0.41/0.59 (step @p118 :rule trans :premises (@p117 @p36)) % 0.41/0.59 (step @p119 :rule ho_cong :premises (@p118 @p30)) % 0.41/0.59 (step @p120 :rule trans :premises (@p119 @p19)) % 0.41/0.59 (step @p121 :rule refl :args (@t4)) % 0.41/0.59 (step @p122 :rule ho_cong :premises (@p121 @p120)) % 0.41/0.59 (step @p123 :rule trans :premises (@p122 @p13)) % 0.41/0.59 (step @p124 :rule cong :premises (@p123) :args ((not (_ @t4 (_ (_ @t14 (_ (_ @t12 (_ @t76 (_ @t83 tptp.q))) (_ @t76 (_ @t83 @t82)))) (_ @t8 @t52)))))) % 0.41/0.59 (step @p125 :rule refl :args (tptp.p)) % 0.41/0.59 (step @p126 :rule refl :args (@t51)) % 0.41/0.59 (step @p127 :rule refl :args (@t17)) % 0.41/0.59 (step @p128 :rule cong :premises (@p127 @p126) :args ((= @t17 @t51))) % 0.41/0.59 (step @p129 :rule symm :premises (@p128)) % 0.41/0.59 (step @p130 :rule eq_resolve :premises (@p127 @p129)) % 0.41/0.59 (step @p131 :rule cong :premises (@p130) :args (@t96)) % 0.41/0.59 (step @p132 :rule refl :args (@t32)) % 0.41/0.59 (step @p133 :rule refl :args (@t18)) % 0.41/0.59 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t18 @t32))) % 0.41/0.59 (step @p135 :rule symm :premises (@p134)) % 0.41/0.59 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 0.41/0.59 (step @p137 :rule cong :premises (@p136) :args (@t97)) % 0.41/0.59 (step @p138 :rule nary_cong :premises (@p137 @p131) :args (@t98)) % 0.41/0.59 (step @p139 :rule cong :premises (@p138) :args ((forall @t19 @t98))) % 0.41/0.59 (step @p140 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.41/0.59 (step @p141 :rule cong :premises (@p140) :args (@t99)) % 0.41/0.59 (step @p142 :rule trans :premises (@p141 @p139)) % 0.41/0.59 (step @p143 :rule cong :premises (@p142) :args (@t100)) % 0.41/0.59 (step @p144 :rule exists-elim :args ((= @t24 @t100))) % 0.41/0.59 (step @p145 :rule trans :premises (@p144 @p143)) % 0.41/0.59 (step @p146 :rule cong :premises (@p145) :args (@t25)) % 0.41/0.59 (step @p147 :rule trans :premises (@p10 @p146)) % 0.41/0.59 (step @p148 :rule ho_cong :premises (@p147 @p125)) % 0.41/0.59 (step @p149 :rule ho_cong :premises (@p4 @p148)) % 0.41/0.59 (step @p150 :rule ho_cong :premises (@p4 @p106)) % 0.41/0.59 (step @p151 :rule ho_cong :premises (@p7 @p125)) % 0.41/0.59 (step @p152 :rule ho_cong :premises (@p151 @p150)) % 0.41/0.59 (step @p153 :rule nary_cong :premises (@p137 @p130) :args (@t101)) % 0.41/0.59 (step @p154 :rule cong :premises (@p153) :args ((forall @t19 @t101))) % 0.41/0.59 (step @p155 :rule bool-impl-elim :args (@t18 @t17)) % 0.41/0.59 (step @p156 :rule cong :premises (@p155) :args (@t20)) % 0.41/0.59 (step @p157 :rule trans :premises (@p156 @p154)) % 0.41/0.59 (step @p158 :rule cong :premises (@p157) :args (@t22)) % 0.41/0.59 (step @p159 :rule trans :premises (@p9 @p158)) % 0.41/0.59 (step @p160 :rule ho_cong :premises (@p159 @p152)) % 0.41/0.59 (step @p161 :rule ho_cong :premises (@p151 @p106)) % 0.41/0.59 (step @p162 :rule ho_cong :premises (@p159 @p161)) % 0.41/0.59 (step @p163 :rule ho_cong :premises (@p5 @p162)) % 0.41/0.59 (step @p164 :rule ho_cong :premises (@p163 @p160)) % 0.41/0.59 (step @p165 :rule ho_cong :premises (@p7 @p164)) % 0.41/0.59 (step @p166 :rule ho_cong :premises (@p165 @p149)) % 0.41/0.59 (step @p167 :rule ho_cong :premises (@p3 @p166)) % 0.41/0.59 (step @p168 :rule cong :premises (@p167) :args (@t2)) % 0.41/0.59 (step @p169 :rule trans :premises (@p168 @p124)) % 0.41/0.59 (step @p170 :rule eq_resolve :premises (@p1 @p169)) % 0.41/0.59 (step @p171 :rule not_implies_elim2 :premises (@p170)) % 0.41/0.59 (step @p172 :rule skolemize :premises (@p171)) % 0.41/0.59 (step @p173 :rule bool-double-not-elim :args (@t103)) % 0.41/0.59 (step @p174 :rule refl :args (@t107)) % 0.41/0.59 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t107 (not @t106)))) % 0.41/0.59 (step @p176 :rule cnf_or_neg :args (@t107 0)) % 0.41/0.59 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.41/0.59 (step @p178 :rule reordering :premises (@p177) :args ((or @t103 @t107))) % 0.41/0.59 (step @p179 :rule chain_m_resolution :premises (@p178 @p172) :args (@t103 @t108 @t109)) % 0.41/0.59 (step @p180 :rule bool-double-not-elim :args (@t104)) % 0.41/0.59 (step @p181 :rule nary_cong :premises (@p174 @p180) :args ((or @t107 (not @t105)))) % 0.41/0.59 (step @p182 :rule cnf_or_neg :args (@t107 1)) % 0.41/0.59 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.41/0.59 (step @p184 :rule reordering :premises (@p183) :args ((or @t104 @t107))) % 0.41/0.59 (step @p185 :rule chain_m_resolution :premises (@p184 @p172) :args (@t104 @t108 @t109)) % 0.41/0.59 (step @p186 :rule not_implies_elim1 :premises (@p170)) % 0.41/0.59 (step @p187 :rule and_elim :premises (@p186) :args (1)) % 0.41/0.59 (step @p188 :rule instantiate :premises (@p187) :args (@t110)) % 0.41/0.59 (step @p189 :rule and_elim :premises (@p186) :args (0)) % 0.41/0.59 (step @p190 :rule instantiate :premises (@p189) :args (@t110)) % 0.41/0.59 (step @p191 :rule cnf_or_pos :args (@t112)) % 0.41/0.59 (step @p192 :rule reordering :premises (@p191) :args ((or @t106 @t105 @t111 (not @t112)))) % 0.41/0.59 (step @p193 :rule chain_m_resolution :premises (@p192 @p179 @p185 @p190) :args (@t111 (@list false false false) (@list @t103 @t104 @t112))) % 0.41/0.59 (step @p194 :rule cnf_or_pos :args (@t114)) % 0.41/0.59 (step @p195 :rule reordering :premises (@p194) :args ((or @t106 @t105 @t113 (not @t114)))) % 0.41/0.59 (step @p196 false :rule chain_m_resolution :premises (@p195 @p193 @p188 @p185 @p179) :args (false (@list false false false false) (@list @t111 @t114 @t104 @t103))) % 0.41/0.59 ) % 0.41/0.59 % SZS output end Proof % 0.41/0.59 % cvc5 exiting %------------------------------------------------------------------------------