%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO899^8 : 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 : n013.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 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO899^8 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 : Wed Jun 3 01:09:00 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort tptp.mworld 0) % 0.36/0.57 (declare-const tptp.mactual tptp.mworld) % 0.36/0.57 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.36/0.57 (declare-const tptp.p (-> tptp.mworld Bool)) % 0.36/0.57 (declare-const tptp.q (-> tptp.mworld Bool)) % 0.36/0.57 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.36/0.57 (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)))))) % 0.36/0.57 (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))))))) % 0.36/0.57 (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))))))) % 0.36/0.57 (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))))))) % 0.36/0.57 (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))))))) % 0.36/0.57 (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)))))))) % 0.36/0.57 (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)))))))) % 0.36/0.57 (define @t1 () (@var "W" tptp.mworld)) % 0.36/0.57 (define @t2 () (_ tptp.mrel @t1)) % 0.36/0.57 (define @t3 () (_ @t2 @t1)) % 0.36/0.57 (define @t4 () (@list @t1)) % 0.36/0.57 (define @t5 () (forall @t4 @t3)) % 0.36/0.57 (define @t6 () (not (_ tptp.mlocal (_ (_ tptp.mimplies (_ tptp.mdia (_ (_ tptp.mimplies tptp.p) (_ tptp.mbox tptp.q)))) (_ (_ tptp.mimplies (_ tptp.mbox tptp.p)) (_ tptp.mdia tptp.q)))))) % 0.36/0.57 (define @t7 () (@var "Phi" (-> tptp.mworld Bool))) % 0.36/0.57 (define @t8 () (lambda (@list @t7) (_ @t7 tptp.mactual))) % 0.36/0.57 (define @t9 () (@var "A" (-> tptp.mworld Bool))) % 0.36/0.57 (define @t10 () (_ @t9 @t1)) % 0.36/0.57 (define @t11 () (lambda (@list @t9 @t1) (not @t10))) % 0.36/0.57 (define @t12 () (@var "B" (-> tptp.mworld Bool))) % 0.36/0.57 (define @t13 () (_ @t12 @t1)) % 0.36/0.57 (define @t14 () (@list @t9 @t12 @t1)) % 0.36/0.57 (define @t15 () (lambda @t14 (and @t10 @t13))) % 0.36/0.57 (define @t16 () (lambda @t14 (or @t10 @t13))) % 0.36/0.57 (define @t17 () (lambda @t14 (=> @t10 @t13))) % 0.36/0.57 (define @t18 () (lambda @t14 (= @t10 @t13))) % 0.36/0.57 (define @t19 () (@var "V" tptp.mworld)) % 0.36/0.57 (define @t20 () (_ @t7 @t19)) % 0.36/0.57 (define @t21 () (_ @t2 @t19)) % 0.36/0.57 (define @t22 () (@list @t19)) % 0.36/0.57 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.36/0.57 (define @t24 () (@list @t7 @t1)) % 0.36/0.57 (define @t25 () (lambda @t24 @t23)) % 0.36/0.57 (define @t26 () (and @t21 @t20)) % 0.36/0.57 (define @t27 () (exists @t22 @t26)) % 0.36/0.57 (define @t28 () (lambda @t24 @t27)) % 0.36/0.57 (define @t29 () (tptp.mrel @t1 @t1)) % 0.36/0.57 (define @t30 () (tptp.q @t19)) % 0.36/0.57 (define @t31 () (not @t30)) % 0.36/0.57 (define @t32 () (not (tptp.mrel tptp.mactual @t19))) % 0.36/0.57 (define @t33 () (tptp.p @t19)) % 0.36/0.57 (define @t34 () (@var "BOUND_VARIABLE_7577" tptp.mworld)) % 0.36/0.57 (define @t35 () (tptp.q @t34)) % 0.36/0.57 (define @t36 () (@list @t34)) % 0.36/0.57 (define @t37 () (forall @t36 (or (not (tptp.mrel @t19 @t34)) @t35))) % 0.36/0.57 (define @t38 () (not @t37)) % 0.36/0.57 (define @t39 () (and @t33 @t38)) % 0.36/0.57 (define @t40 () (forall @t22 (or @t32 @t39))) % 0.36/0.57 (define @t41 () (tptp.mrel @t1 @t19)) % 0.36/0.57 (define @t42 () (not @t41)) % 0.36/0.57 (define @t43 () (not (forall @t22 (or @t42 @t31)))) % 0.36/0.57 (define @t44 () (forall @t22 (or @t42 @t33))) % 0.36/0.57 (define @t45 () (=> @t44 @t43)) % 0.36/0.57 (define @t46 () (not (forall @t22 (or @t42 @t39)))) % 0.36/0.57 (define @t47 () (lambda @t4 (=> @t46 @t45))) % 0.36/0.57 (define @t48 () (_ @t47 tptp.mactual)) % 0.36/0.57 (define @t49 () (lambda @t4 @t45)) % 0.36/0.57 (define @t50 () (_ @t49 @t1)) % 0.36/0.57 (define @t51 () (=> @t46 @t50)) % 0.36/0.57 (define @t52 () (lambda @t4 @t51)) % 0.36/0.57 (define @t53 () (@list @t12 @t1)) % 0.36/0.57 (define @t54 () (lambda @t4 @t43)) % 0.36/0.57 (define @t55 () (_ @t54 @t1)) % 0.36/0.57 (define @t56 () (=> @t44 @t55)) % 0.36/0.57 (define @t57 () (lambda @t4 @t56)) % 0.36/0.57 (define @t58 () (_ @t7 @t19)) % 0.36/0.57 (define @t59 () (lambda @t24 (not (forall @t22 (or @t42 (not @t58)))))) % 0.36/0.57 (define @t60 () (_ @t59 tptp.q)) % 0.36/0.57 (define @t61 () (lambda @t4 @t44)) % 0.36/0.57 (define @t62 () (_ @t61 @t1)) % 0.36/0.57 (define @t63 () (=> @t62 @t13)) % 0.36/0.57 (define @t64 () (lambda @t53 @t63)) % 0.36/0.57 (define @t65 () (lambda @t24 (forall @t22 (or @t42 @t58)))) % 0.36/0.57 (define @t66 () (_ @t65 tptp.p)) % 0.36/0.57 (define @t67 () (lambda @t4 @t46)) % 0.36/0.57 (define @t68 () (_ @t67 @t1)) % 0.36/0.57 (define @t69 () (=> @t68 @t13)) % 0.36/0.57 (define @t70 () (lambda @t53 @t69)) % 0.36/0.57 (define @t71 () (_ tptp.p @t19)) % 0.36/0.57 (define @t72 () (and @t71 @t38)) % 0.36/0.57 (define @t73 () (or @t42 @t72)) % 0.36/0.57 (define @t74 () (=> @t71 @t37)) % 0.36/0.57 (define @t75 () (or @t42 (not @t74))) % 0.36/0.57 (define @t76 () (_ tptp.p @t1)) % 0.36/0.57 (define @t77 () (forall @t22 (or @t42 @t30))) % 0.36/0.57 (define @t78 () (=> @t76 @t77)) % 0.36/0.57 (define @t79 () (lambda @t4 @t78)) % 0.36/0.57 (define @t80 () (not (_ @t79 @t19))) % 0.36/0.57 (define @t81 () (or @t42 @t80)) % 0.36/0.57 (define @t82 () (forall @t22 @t81)) % 0.36/0.57 (define @t83 () (not @t82)) % 0.36/0.57 (define @t84 () (lambda @t4 @t83)) % 0.36/0.57 (define @t85 () (lambda @t4 @t77)) % 0.36/0.57 (define @t86 () (_ @t85 @t1)) % 0.36/0.57 (define @t87 () (=> @t76 @t86)) % 0.36/0.57 (define @t88 () (lambda @t4 @t87)) % 0.36/0.57 (define @t89 () (lambda @t53 (=> @t76 @t13))) % 0.36/0.57 (define @t90 () (_ @t65 tptp.q)) % 0.36/0.57 (define @t91 () (_ @t17 tptp.p)) % 0.36/0.57 (define @t92 () (not @t20)) % 0.36/0.57 (define @t93 () (not @t21)) % 0.36/0.57 (define @t94 () (or @t93 @t92)) % 0.36/0.57 (define @t95 () (forall @t22 (not @t26))) % 0.36/0.57 (define @t96 () (not @t95)) % 0.36/0.57 (define @t97 () (or @t93 @t20)) % 0.36/0.57 (define @t98 () (@quantifiers_skolemize @t40 0)) % 0.36/0.57 (define @t99 () (@list @t98)) % 0.36/0.57 (define @t100 () (tptp.mrel tptp.mactual @t98)) % 0.36/0.57 (define @t101 () (forall @t36 (or (not (tptp.mrel @t98 @t34)) @t35))) % 0.36/0.57 (define @t102 () (not @t101)) % 0.36/0.57 (define @t103 () (tptp.p @t98)) % 0.36/0.57 (define @t104 () (and @t103 @t102)) % 0.36/0.57 (define @t105 () (not @t100)) % 0.36/0.57 (define @t106 () (or @t105 @t104)) % 0.36/0.57 (define @t107 () (@list true)) % 0.36/0.57 (define @t108 () (@list @t106)) % 0.36/0.57 (define @t109 () (or @t105 @t103)) % 0.36/0.57 (define @t110 () (@list false false)) % 0.36/0.57 (define @t111 () (not @t103)) % 0.36/0.57 (define @t112 () (@list true false)) % 0.36/0.57 (define @t113 () (tptp.q @t98)) % 0.36/0.57 (define @t114 () (not @t113)) % 0.36/0.57 (define @t115 () (or @t105 @t114)) % 0.36/0.57 (define @t116 () (tptp.mrel @t98 @t98)) % 0.36/0.57 (define @t117 () (not @t116)) % 0.36/0.57 (define @t118 () (or @t117 @t113)) % 0.36/0.57 (define @t119 () (forall @t4 @t29)) % 0.36/0.57 (assume @p1 @t5) % 0.36/0.57 (assume @p2 @t6) % 0.36/0.57 (assume @p3 true) % 0.36/0.57 (step @p4 (= tptp.mlocal @t8) :rule refl :args (@t8)) % 0.36/0.57 (step @p5 (= tptp.mnot @t11) :rule refl :args (@t11)) % 0.36/0.57 (step @p6 (= tptp.mand @t15) :rule refl :args (@t15)) % 0.36/0.57 (step @p7 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.36/0.57 (step @p8 (= tptp.mimplies @t17) :rule refl :args (@t17)) % 0.36/0.57 (step @p9 (= tptp.mequiv @t18) :rule refl :args (@t18)) % 0.36/0.57 (step @p10 (= tptp.mbox @t25) :rule refl :args (@t25)) % 0.36/0.57 (step @p11 (= tptp.mdia @t28) :rule refl :args (@t28)) % 0.36/0.57 (step @p12 :rule refl :args (@t29)) % 0.36/0.57 (step @p13 :rule refl :args (@t3)) % 0.36/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t3 @t29))) % 0.36/0.57 (step @p15 :rule symm :premises (@p14)) % 0.36/0.57 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.36/0.57 (step @p17 :rule cong :premises (@p16) :args (@t5)) % 0.36/0.57 (step @p18 :rule eq_resolve :premises (@p1 @p17)) % 0.36/0.57 (step @p19 :rule beta-reduce :args ((= @t48 (=> (not @t40) (=> (forall @t22 (or @t32 @t33)) (not (forall @t22 (or @t32 @t31)))))))) % 0.36/0.57 (step @p20 :rule beta-reduce :args ((= (_ @t8 @t47) @t48))) % 0.36/0.57 (step @p21 :rule trans :premises (@p20 @p19)) % 0.36/0.57 (step @p22 :rule beta-reduce :args ((= @t50 @t45))) % 0.36/0.57 (step @p23 :rule refl :args (@t46)) % 0.36/0.57 (step @p24 :rule cong :premises (@p23 @p22) :args (@t51)) % 0.36/0.57 (step @p25 :rule cong :premises (@p24) :args (@t52)) % 0.36/0.57 (step @p26 :rule beta-reduce :args ((= (_ (lambda @t53 (=> @t46 @t13)) @t49) @t52))) % 0.36/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.36/0.57 (step @p28 :rule beta-reduce :args ((= @t55 @t43))) % 0.36/0.57 (step @p29 :rule refl :args (@t44)) % 0.36/0.57 (step @p30 :rule cong :premises (@p29 @p28) :args (@t56)) % 0.36/0.57 (step @p31 :rule cong :premises (@p30) :args (@t57)) % 0.36/0.57 (step @p32 :rule beta-reduce :args ((= (_ (lambda @t53 (=> @t44 @t13)) @t54) @t57))) % 0.36/0.57 (step @p33 :rule trans :premises (@p32 @p31)) % 0.36/0.57 (step @p34 :rule beta-reduce :args ((= @t60 @t54))) % 0.36/0.57 (step @p35 :rule refl :args (@t13)) % 0.36/0.57 (step @p36 :rule beta-reduce :args ((= @t62 @t44))) % 0.36/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t63)) % 0.36/0.57 (step @p38 :rule cong :premises (@p37) :args (@t64)) % 0.36/0.57 (step @p39 :rule beta-reduce :args ((= (_ @t17 @t61) @t64))) % 0.36/0.57 (step @p40 :rule trans :premises (@p39 @p38)) % 0.36/0.57 (step @p41 :rule beta-reduce :args ((= @t66 @t61))) % 0.36/0.57 (step @p42 :rule refl :args (@t17)) % 0.36/0.57 (step @p43 :rule ho_cong :premises (@p42 @p41)) % 0.36/0.57 (step @p44 :rule trans :premises (@p43 @p40)) % 0.36/0.57 (step @p45 :rule ho_cong :premises (@p44 @p34)) % 0.36/0.57 (step @p46 :rule trans :premises (@p45 @p33)) % 0.36/0.57 (step @p47 :rule beta-reduce :args ((= @t68 @t46))) % 0.36/0.57 (step @p48 :rule cong :premises (@p47 @p35) :args (@t69)) % 0.36/0.57 (step @p49 :rule cong :premises (@p48) :args (@t70)) % 0.36/0.57 (step @p50 :rule beta-reduce :args ((= (_ @t17 @t67) @t70))) % 0.36/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.57 (step @p52 :rule refl :args (@t38)) % 0.36/0.57 (step @p53 :rule refl :args (@t33)) % 0.36/0.57 (step @p54 :rule refl :args (@t71)) % 0.36/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t71 @t33))) % 0.36/0.57 (step @p56 :rule symm :premises (@p55)) % 0.36/0.57 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.36/0.57 (step @p58 :rule nary_cong :premises (@p57 @p52) :args (@t72)) % 0.36/0.57 (step @p59 :rule refl :args (@t42)) % 0.36/0.57 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t73)) % 0.36/0.57 (step @p61 :rule cong :premises (@p60) :args ((forall @t22 @t73))) % 0.36/0.57 (step @p62 :rule bool-implies-de-morgan :args (@t71 @t37)) % 0.36/0.57 (step @p63 :rule nary_cong :premises (@p59 @p62) :args (@t75)) % 0.36/0.57 (step @p64 :rule cong :premises (@p63) :args ((forall @t22 @t75))) % 0.36/0.57 (step @p65 :rule trans :premises (@p64 @p61)) % 0.36/0.57 (step @p66 :rule beta-reduce :args ((= (_ (lambda @t4 (=> @t76 (forall @t36 (or (not (tptp.mrel @t1 @t34)) @t35)))) @t19) @t74))) % 0.36/0.57 (step @p67 :rule refl :args (@t19)) % 0.36/0.57 (step @p68 :rule alpha_equiv :args (@t77 (@list @t19) (@list @t34))) % 0.36/0.57 (step @p69 :rule refl :args (@t76)) % 0.36/0.57 (step @p70 :rule cong :premises (@p69 @p68) :args (@t78)) % 0.36/0.57 (step @p71 :rule cong :premises (@p70) :args (@t79)) % 0.36/0.57 (step @p72 :rule ho_cong :premises (@p71 @p67)) % 0.36/0.57 (step @p73 :rule trans :premises (@p72 @p66)) % 0.36/0.57 (step @p74 :rule cong :premises (@p73) :args (@t80)) % 0.36/0.57 (step @p75 :rule refl :args (@t42)) % 0.36/0.57 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t81)) % 0.36/0.57 (step @p77 :rule cong :premises (@p76) :args (@t82)) % 0.36/0.57 (step @p78 :rule trans :premises (@p77 @p65)) % 0.36/0.57 (step @p79 :rule cong :premises (@p78) :args (@t83)) % 0.36/0.57 (step @p80 :rule cong :premises (@p79) :args (@t84)) % 0.36/0.57 (step @p81 :rule beta-reduce :args ((= (_ @t59 @t79) @t84))) % 0.36/0.57 (step @p82 :rule trans :premises (@p81 @p80)) % 0.36/0.57 (step @p83 :rule beta-reduce :args ((= @t86 @t77))) % 0.36/0.57 (step @p84 :rule refl :args (@t76)) % 0.36/0.57 (step @p85 :rule cong :premises (@p84 @p83) :args (@t87)) % 0.36/0.57 (step @p86 :rule cong :premises (@p85) :args (@t88)) % 0.36/0.57 (step @p87 :rule beta-reduce :args ((= (_ @t89 @t85) @t88))) % 0.36/0.57 (step @p88 :rule trans :premises (@p87 @p86)) % 0.36/0.57 (step @p89 :rule beta-reduce :args ((= @t90 @t85))) % 0.36/0.57 (step @p90 :rule beta-reduce :args ((= @t91 @t89))) % 0.36/0.57 (step @p91 :rule ho_cong :premises (@p90 @p89)) % 0.36/0.57 (step @p92 :rule trans :premises (@p91 @p88)) % 0.36/0.57 (step @p93 :rule refl :args (@t59)) % 0.36/0.57 (step @p94 :rule ho_cong :premises (@p93 @p92)) % 0.36/0.57 (step @p95 :rule trans :premises (@p94 @p82)) % 0.36/0.57 (step @p96 :rule ho_cong :premises (@p42 @p95)) % 0.36/0.57 (step @p97 :rule trans :premises (@p96 @p51)) % 0.36/0.57 (step @p98 :rule ho_cong :premises (@p97 @p46)) % 0.36/0.57 (step @p99 :rule trans :premises (@p98 @p27)) % 0.36/0.57 (step @p100 :rule refl :args (@t8)) % 0.36/0.57 (step @p101 :rule ho_cong :premises (@p100 @p99)) % 0.36/0.57 (step @p102 :rule trans :premises (@p101 @p21)) % 0.36/0.57 (step @p103 :rule cong :premises (@p102) :args ((not (_ @t8 (_ (_ @t17 (_ @t59 (_ @t91 @t90))) (_ (_ @t17 @t66) @t60)))))) % 0.36/0.57 (step @p104 :rule refl :args (tptp.q)) % 0.36/0.57 (step @p105 :rule refl :args (@t58)) % 0.36/0.57 (step @p106 :rule refl :args (@t20)) % 0.36/0.57 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t20 @t58))) % 0.36/0.57 (step @p108 :rule symm :premises (@p107)) % 0.36/0.57 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 0.36/0.57 (step @p110 :rule cong :premises (@p109) :args (@t92)) % 0.36/0.57 (step @p111 :rule refl :args (@t41)) % 0.36/0.57 (step @p112 :rule refl :args (@t21)) % 0.36/0.57 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t21 @t41))) % 0.36/0.57 (step @p114 :rule symm :premises (@p113)) % 0.36/0.57 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 0.36/0.57 (step @p116 :rule cong :premises (@p115) :args (@t93)) % 0.36/0.57 (step @p117 :rule nary_cong :premises (@p116 @p110) :args (@t94)) % 0.36/0.57 (step @p118 :rule cong :premises (@p117) :args ((forall @t22 @t94))) % 0.36/0.57 (step @p119 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.36/0.57 (step @p120 :rule cong :premises (@p119) :args (@t95)) % 0.36/0.57 (step @p121 :rule trans :premises (@p120 @p118)) % 0.36/0.57 (step @p122 :rule cong :premises (@p121) :args (@t96)) % 0.36/0.57 (step @p123 :rule exists-elim :args ((= @t27 @t96))) % 0.36/0.57 (step @p124 :rule trans :premises (@p123 @p122)) % 0.36/0.57 (step @p125 :rule cong :premises (@p124) :args (@t28)) % 0.36/0.57 (step @p126 :rule trans :premises (@p11 @p125)) % 0.36/0.57 (step @p127 :rule ho_cong :premises (@p126 @p104)) % 0.36/0.57 (step @p128 :rule refl :args (tptp.p)) % 0.36/0.57 (step @p129 :rule nary_cong :premises (@p116 @p109) :args (@t97)) % 0.36/0.57 (step @p130 :rule cong :premises (@p129) :args ((forall @t22 @t97))) % 0.36/0.57 (step @p131 :rule bool-impl-elim :args (@t21 @t20)) % 0.36/0.57 (step @p132 :rule cong :premises (@p131) :args (@t23)) % 0.36/0.57 (step @p133 :rule trans :premises (@p132 @p130)) % 0.36/0.57 (step @p134 :rule cong :premises (@p133) :args (@t25)) % 0.36/0.57 (step @p135 :rule trans :premises (@p10 @p134)) % 0.36/0.57 (step @p136 :rule ho_cong :premises (@p135 @p128)) % 0.36/0.57 (step @p137 :rule ho_cong :premises (@p8 @p136)) % 0.36/0.57 (step @p138 :rule ho_cong :premises (@p137 @p127)) % 0.36/0.57 (step @p139 :rule ho_cong :premises (@p135 @p104)) % 0.36/0.57 (step @p140 :rule ho_cong :premises (@p8 @p128)) % 0.36/0.57 (step @p141 :rule ho_cong :premises (@p140 @p139)) % 0.36/0.57 (step @p142 :rule ho_cong :premises (@p126 @p141)) % 0.36/0.57 (step @p143 :rule ho_cong :premises (@p8 @p142)) % 0.36/0.57 (step @p144 :rule ho_cong :premises (@p143 @p138)) % 0.36/0.57 (step @p145 :rule ho_cong :premises (@p4 @p144)) % 0.36/0.57 (step @p146 :rule cong :premises (@p145) :args (@t6)) % 0.36/0.57 (step @p147 :rule trans :premises (@p146 @p103)) % 0.36/0.57 (step @p148 :rule eq_resolve :premises (@p2 @p147)) % 0.36/0.57 (step @p149 :rule not_implies_elim2 :premises (@p148)) % 0.36/0.57 (step @p150 :rule not_implies_elim1 :premises (@p149)) % 0.36/0.57 (step @p151 :rule instantiate :premises (@p150) :args (@t99)) % 0.36/0.57 (step @p152 :rule not_implies_elim1 :premises (@p148)) % 0.36/0.57 (step @p153 :rule skolemize :premises (@p152)) % 0.36/0.57 (step @p154 :rule bool-double-not-elim :args (@t100)) % 0.36/0.57 (step @p155 :rule refl :args (@t106)) % 0.36/0.57 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t106 (not @t105)))) % 0.36/0.57 (step @p157 :rule cnf_or_neg :args (@t106 0)) % 0.36/0.57 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.36/0.57 (step @p159 :rule reordering :premises (@p158) :args ((or @t100 @t106))) % 0.36/0.57 (step @p160 :rule chain_m_resolution :premises (@p159 @p153) :args (@t100 @t107 @t108)) % 0.36/0.57 (step @p161 :rule cnf_or_pos :args (@t109)) % 0.36/0.57 (step @p162 :rule reordering :premises (@p161) :args ((or @t105 @t103 (not @t109)))) % 0.36/0.57 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p151) :args (@t103 @t110 (@list @t100 @t109))) % 0.36/0.57 (step @p164 :rule cnf_or_neg :args (@t106 1)) % 0.36/0.57 (step @p165 :rule chain_m_resolution :premises (@p164 @p153) :args ((not @t104) @t107 @t108)) % 0.36/0.57 (step @p166 :rule bool-double-not-elim :args (@t101)) % 0.36/0.57 (step @p167 :rule refl :args (@t111)) % 0.36/0.57 (step @p168 :rule refl :args (@t104)) % 0.36/0.57 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166) :args ((or @t104 @t111 (not @t102)))) % 0.36/0.57 (step @p170 :rule cnf_and_neg :args (@t104)) % 0.36/0.57 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 0.36/0.57 (step @p172 :rule reordering :premises (@p171) :args ((or @t101 @t104 @t111))) % 0.36/0.57 (step @p173 :rule chain_m_resolution :premises (@p172 @p165 @p163) :args (@t101 @t112 (@list @t104 @t103))) % 0.36/0.57 (step @p174 :rule instantiate :premises (@p173) :args (@t99)) % 0.36/0.57 (step @p175 :rule not_implies_elim2 :premises (@p149)) % 0.36/0.57 (step @p176 :rule not_not_elim :premises (@p175)) % 0.36/0.57 (step @p177 :rule instantiate :premises (@p176) :args (@t99)) % 0.36/0.57 (step @p178 :rule cnf_or_pos :args (@t115)) % 0.36/0.57 (step @p179 :rule reordering :premises (@p178) :args ((or @t105 @t114 (not @t115)))) % 0.36/0.57 (step @p180 :rule chain_m_resolution :premises (@p179 @p160 @p177) :args (@t114 @t110 (@list @t100 @t115))) % 0.36/0.57 (step @p181 :rule cnf_or_pos :args (@t118)) % 0.36/0.57 (step @p182 :rule reordering :premises (@p181) :args ((or @t113 @t117 (not @t118)))) % 0.36/0.57 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p174) :args (@t117 @t112 (@list @t113 @t118))) % 0.36/0.57 (assume-push @p190 @t119) % 0.36/0.57 (step @p185 :rule instantiate :premises (@p18) :args (@t99)) % 0.36/0.57 (step-pop @p191 :rule scope :premises (@p185)) % 0.36/0.57 (step @p186 :rule process_scope :premises (@p191) :args (@t116)) % 0.36/0.57 (step @p188 :rule implies_elim :premises (@p186)) % 0.36/0.57 (step @p189 false :rule chain_m_resolution :premises (@p188 @p183 @p18) :args (false @t112 (@list @t116 @t119))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------