%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT334^23 : 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 : n008.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 08:14:46 AM UTC 2026 % Result : Theorem 0.33s 0.59s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : DAT334^23 : 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 % 0.18/0.35 % Computer : n008.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 22:32:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.33/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.33/0.59 % SZS status Theorem % 0.33/0.59 % SZS output start Proof % 0.33/0.59 ( % 0.33/0.59 (declare-sort $$unsorted 0) % 0.33/0.59 (declare-sort tptp.mworld 0) % 0.33/0.59 (declare-const tptp.mactual tptp.mworld) % 0.33/0.59 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.33/0.59 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 0.33/0.59 (declare-const tptp.math $$unsorted) % 0.33/0.59 (declare-const tptp.john $$unsorted) % 0.33/0.59 (declare-const tptp.cs $$unsorted) % 0.33/0.59 (declare-const tptp.mary $$unsorted) % 0.33/0.59 (declare-const tptp.teach (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.33/0.59 (declare-const tptp.sue $$unsorted) % 0.33/0.59 (declare-const tptp.psych $$unsorted) % 0.33/0.59 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.33/0.59 (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)))))) % 0.33/0.59 (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))))))) % 0.33/0.59 (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))))))) % 0.33/0.59 (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))))))) % 0.33/0.59 (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))))))) % 0.33/0.59 (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)))))))) % 0.33/0.59 (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)))))))) % 0.33/0.59 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.33/0.59 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.33/0.59 (define @t1 () (@var "W" tptp.mworld)) % 0.33/0.59 (define @t2 () (_ tptp.mrel @t1)) % 0.33/0.59 (define @t3 () (@list @t1)) % 0.33/0.59 (define @t4 () (@var "V" tptp.mworld)) % 0.33/0.59 (define @t5 () (@var "U" tptp.mworld)) % 0.33/0.59 (define @t6 () (_ @t2 @t4)) % 0.33/0.59 (define @t7 () (@var "X" $$unsorted)) % 0.33/0.59 (define @t8 () (_ tptp.eiw_di @t7)) % 0.33/0.59 (define @t9 () (_ @t8 @t1)) % 0.33/0.59 (define @t10 () (@list @t7)) % 0.33/0.59 (define @t11 () (_ (_ tptp.teach tptp.sue) tptp.psych)) % 0.33/0.59 (define @t12 () (_ (_ tptp.teach tptp.mary) tptp.psych)) % 0.33/0.59 (define @t13 () (@var "__flatten_var_0" tptp.mworld)) % 0.33/0.59 (define @t14 () (_ (_ tptp.teach @t7) tptp.cs)) % 0.33/0.59 (define @t15 () (lambda (@list @t7 @t13) (_ @t14 @t13))) % 0.33/0.59 (define @t16 () (_ tptp.mexists_di @t15)) % 0.33/0.59 (define @t17 () (_ (_ tptp.teach tptp.john) tptp.math)) % 0.33/0.59 (define @t18 () (not (_ tptp.mlocal (_ tptp.mbox @t16)))) % 0.33/0.59 (define @t19 () (@var "Phi" (-> tptp.mworld Bool))) % 0.33/0.59 (define @t20 () (lambda (@list @t19) (_ @t19 tptp.mactual))) % 0.33/0.59 (define @t21 () (@var "A" (-> tptp.mworld Bool))) % 0.33/0.59 (define @t22 () (_ @t21 @t1)) % 0.33/0.59 (define @t23 () (lambda (@list @t21 @t1) (not @t22))) % 0.33/0.59 (define @t24 () (@var "B" (-> tptp.mworld Bool))) % 0.33/0.59 (define @t25 () (_ @t24 @t1)) % 0.33/0.59 (define @t26 () (@list @t21 @t24 @t1)) % 0.33/0.59 (define @t27 () (lambda @t26 (and @t22 @t25))) % 0.33/0.59 (define @t28 () (lambda @t26 (or @t22 @t25))) % 0.33/0.59 (define @t29 () (lambda @t26 (=> @t22 @t25))) % 0.33/0.59 (define @t30 () (lambda @t26 (= @t22 @t25))) % 0.33/0.59 (define @t31 () (_ @t19 @t4)) % 0.33/0.59 (define @t32 () (@list @t4)) % 0.33/0.59 (define @t33 () (forall @t32 (=> @t6 @t31))) % 0.33/0.59 (define @t34 () (@list @t19 @t1)) % 0.33/0.59 (define @t35 () (lambda @t34 @t33)) % 0.33/0.59 (define @t36 () (lambda @t34 (exists @t32 (and @t6 @t31)))) % 0.33/0.59 (define @t37 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.33/0.59 (define @t38 () (_ (_ @t37 @t7) @t1)) % 0.33/0.59 (define @t39 () (@list @t37 @t1)) % 0.33/0.59 (define @t40 () (lambda @t39 (forall @t10 (=> @t9 @t38)))) % 0.33/0.59 (define @t41 () (and @t9 @t38)) % 0.33/0.59 (define @t42 () (exists @t10 @t41)) % 0.33/0.59 (define @t43 () (lambda @t39 @t42)) % 0.33/0.59 (define @t44 () (not (forall @t10 (or (not (tptp.eiw_di @t7 @t4)) (not (tptp.teach @t7 tptp.cs @t4)))))) % 0.33/0.59 (define @t45 () (not (tptp.mrel tptp.mactual @t4))) % 0.33/0.59 (define @t46 () (forall @t32 (or @t45 @t44))) % 0.33/0.59 (define @t47 () (tptp.mrel @t1 @t4)) % 0.33/0.59 (define @t48 () (not @t47)) % 0.33/0.59 (define @t49 () (lambda @t3 (forall @t32 (or @t48 @t44)))) % 0.33/0.59 (define @t50 () (_ @t49 tptp.mactual)) % 0.33/0.59 (define @t51 () (tptp.teach @t7 tptp.cs @t1)) % 0.33/0.59 (define @t52 () (tptp.eiw_di @t7 @t1)) % 0.33/0.59 (define @t53 () (not @t52)) % 0.33/0.59 (define @t54 () (not (forall @t10 (or @t53 (not @t51))))) % 0.33/0.59 (define @t55 () (lambda @t3 @t54)) % 0.33/0.59 (define @t56 () (_ @t55 @t4)) % 0.33/0.59 (define @t57 () (or @t48 @t56)) % 0.33/0.59 (define @t58 () (forall @t32 @t57)) % 0.33/0.59 (define @t59 () (lambda @t3 @t58)) % 0.33/0.59 (define @t60 () (_ @t19 @t4)) % 0.33/0.59 (define @t61 () (lambda @t34 (forall @t32 (or @t48 @t60)))) % 0.33/0.59 (define @t62 () (_ @t14 @t1)) % 0.33/0.59 (define @t63 () (not @t62)) % 0.33/0.59 (define @t64 () (or @t53 @t63)) % 0.33/0.59 (define @t65 () (_ @t15 @t7 @t1)) % 0.33/0.59 (define @t66 () (not @t65)) % 0.33/0.59 (define @t67 () (or @t53 @t66)) % 0.33/0.59 (define @t68 () (forall @t10 @t67)) % 0.33/0.59 (define @t69 () (not @t68)) % 0.33/0.59 (define @t70 () (lambda @t3 @t69)) % 0.33/0.59 (define @t71 () (_ @t37 @t7 @t1)) % 0.33/0.59 (define @t72 () (_ (lambda @t39 (not (forall @t10 (or @t53 (not @t71))))) @t15)) % 0.33/0.59 (define @t73 () (not @t38)) % 0.33/0.59 (define @t74 () (not @t9)) % 0.33/0.59 (define @t75 () (or @t74 @t73)) % 0.33/0.59 (define @t76 () (forall @t10 (not @t41))) % 0.33/0.59 (define @t77 () (not @t76)) % 0.33/0.59 (define @t78 () (not @t6)) % 0.33/0.59 (define @t79 () (or @t78 @t31)) % 0.33/0.59 (define @t80 () (@quantifiers_skolemize @t46 0)) % 0.33/0.59 (define @t81 () (tptp.mrel tptp.mactual @t80)) % 0.33/0.59 (define @t82 () (forall @t10 (or (not (tptp.eiw_di @t7 @t80)) (not (tptp.teach @t7 tptp.cs @t80))))) % 0.33/0.59 (define @t83 () (not @t82)) % 0.33/0.59 (define @t84 () (not @t81)) % 0.33/0.59 (define @t85 () (or @t84 @t83)) % 0.33/0.59 (define @t86 () (@list true)) % 0.33/0.59 (define @t87 () (@list @t85)) % 0.33/0.59 (define @t88 () (and (tptp.teach tptp.john tptp.math @t80) @t83 (tptp.teach tptp.mary tptp.psych @t80) (tptp.teach tptp.sue tptp.psych @t80))) % 0.33/0.59 (define @t89 () (not @t88)) % 0.33/0.59 (define @t90 () (tptp.teach tptp.sue tptp.psych @t4)) % 0.33/0.59 (define @t91 () (tptp.teach tptp.mary tptp.psych @t4)) % 0.33/0.59 (define @t92 () (tptp.teach tptp.john tptp.math @t4)) % 0.33/0.59 (define @t93 () (and @t92 @t44 @t91 @t90)) % 0.33/0.59 (define @t94 () (lambda @t3 (forall @t32 (or @t48 @t93)))) % 0.33/0.59 (define @t95 () (_ @t94 tptp.mactual)) % 0.33/0.59 (define @t96 () (_ @t11 @t4)) % 0.33/0.59 (define @t97 () (_ @t12 @t4)) % 0.33/0.59 (define @t98 () (_ @t17 @t4)) % 0.33/0.59 (define @t99 () (and @t98 @t44 @t97 @t96)) % 0.33/0.59 (define @t100 () (or @t48 @t99)) % 0.33/0.59 (define @t101 () (_ @t11 @t1)) % 0.33/0.59 (define @t102 () (_ @t12 @t1)) % 0.33/0.59 (define @t103 () (_ @t17 @t1)) % 0.33/0.59 (define @t104 () (and @t103 @t54 @t102 @t101)) % 0.33/0.59 (define @t105 () (lambda @t3 @t104)) % 0.33/0.59 (define @t106 () (_ @t105 @t4)) % 0.33/0.59 (define @t107 () (or @t48 @t106)) % 0.33/0.59 (define @t108 () (forall @t32 @t107)) % 0.33/0.59 (define @t109 () (lambda @t3 @t108)) % 0.33/0.59 (define @t110 () (and @t54 @t102 @t101)) % 0.33/0.59 (define @t111 () (lambda @t3 @t110)) % 0.33/0.59 (define @t112 () (_ @t111 @t1)) % 0.33/0.59 (define @t113 () (and @t103 @t112)) % 0.33/0.59 (define @t114 () (lambda @t3 @t113)) % 0.33/0.59 (define @t115 () (@list @t24 @t1)) % 0.33/0.59 (define @t116 () (lambda @t115 (and @t103 @t25))) % 0.33/0.59 (define @t117 () (and @t102 @t101)) % 0.33/0.59 (define @t118 () (lambda @t3 @t117)) % 0.33/0.59 (define @t119 () (_ @t118 @t1)) % 0.33/0.59 (define @t120 () (and @t54 @t119)) % 0.33/0.59 (define @t121 () (lambda @t3 @t120)) % 0.33/0.59 (define @t122 () (lambda @t115 (and @t102 @t25))) % 0.33/0.59 (define @t123 () (_ @t55 @t1)) % 0.33/0.59 (define @t124 () (and @t123 @t25)) % 0.33/0.59 (define @t125 () (lambda @t115 @t124)) % 0.33/0.59 (define @t126 () (or @t84 @t88)) % 0.33/0.59 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.33/0.59 (assume @p2 (forall (@list @t1 @t4 @t5) (=> (and (_ @t2 @t5) @t6) (_ (_ tptp.mrel @t5) @t4)))) % 0.33/0.59 (assume @p3 (forall @t3 (exists @t10 @t9))) % 0.33/0.59 (assume @p4 (forall (@list @t1 @t4 @t7) (=> (and @t9 (_ (_ tptp.mrel @t4) @t1)) (_ @t8 @t4)))) % 0.33/0.59 (assume @p5 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mand @t17) (_ (_ tptp.mand @t16) (_ (_ tptp.mand @t12) @t11)))))) % 0.33/0.59 (assume @p6 @t18) % 0.33/0.59 (assume @p7 true) % 0.33/0.59 (step @p8 (= tptp.mlocal @t20) :rule refl :args (@t20)) % 0.33/0.59 (step @p9 (= tptp.mnot @t23) :rule refl :args (@t23)) % 0.33/0.59 (step @p10 (= tptp.mand @t27) :rule refl :args (@t27)) % 0.33/0.59 (step @p11 (= tptp.mor @t28) :rule refl :args (@t28)) % 0.33/0.59 (step @p12 (= tptp.mimplies @t29) :rule refl :args (@t29)) % 0.33/0.59 (step @p13 (= tptp.mequiv @t30) :rule refl :args (@t30)) % 0.33/0.59 (step @p14 (= tptp.mbox @t35) :rule refl :args (@t35)) % 0.33/0.59 (step @p15 (= tptp.mdia @t36) :rule refl :args (@t36)) % 0.33/0.59 (step @p16 (= tptp.mforall_di @t40) :rule refl :args (@t40)) % 0.33/0.59 (step @p17 (= tptp.mexists_di @t43) :rule refl :args (@t43)) % 0.33/0.59 (step @p18 :rule beta-reduce :args ((= @t50 @t46))) % 0.33/0.59 (step @p19 :rule beta-reduce :args ((= (_ @t20 @t49) @t50))) % 0.33/0.59 (step @p20 :rule trans :premises (@p19 @p18)) % 0.33/0.59 (step @p21 :rule beta-reduce :args ((= @t56 @t44))) % 0.33/0.59 (step @p22 :rule refl :args (@t48)) % 0.33/0.59 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t57)) % 0.33/0.59 (step @p24 :rule cong :premises (@p23) :args (@t58)) % 0.33/0.59 (step @p25 :rule cong :premises (@p24) :args (@t59)) % 0.33/0.59 (step @p26 :rule beta-reduce :args ((= (_ @t61 @t55) @t59))) % 0.33/0.59 (step @p27 :rule trans :premises (@p26 @p25)) % 0.33/0.59 (step @p28 :rule refl :args (@t51)) % 0.33/0.59 (step @p29 :rule refl :args (@t62)) % 0.33/0.59 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t62 @t51))) % 0.33/0.59 (step @p31 :rule symm :premises (@p30)) % 0.33/0.59 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.33/0.59 (step @p33 :rule cong :premises (@p32) :args (@t63)) % 0.33/0.59 (step @p34 :rule refl :args (@t53)) % 0.33/0.59 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t64)) % 0.33/0.59 (step @p36 :rule cong :premises (@p35) :args ((forall @t10 @t64))) % 0.33/0.59 (step @p37 :rule beta-reduce :args ((= @t65 @t62))) % 0.33/0.59 (step @p38 :rule cong :premises (@p37) :args (@t66)) % 0.33/0.59 (step @p39 :rule refl :args (@t53)) % 0.33/0.59 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t67)) % 0.33/0.59 (step @p41 :rule cong :premises (@p40) :args (@t68)) % 0.33/0.59 (step @p42 :rule trans :premises (@p41 @p36)) % 0.33/0.59 (step @p43 :rule cong :premises (@p42) :args (@t69)) % 0.33/0.59 (step @p44 :rule cong :premises (@p43) :args (@t70)) % 0.33/0.59 (step @p45 :rule beta-reduce :args ((= @t72 @t70))) % 0.33/0.59 (step @p46 :rule trans :premises (@p45 @p44)) % 0.33/0.59 (step @p47 :rule refl :args (@t61)) % 0.33/0.59 (step @p48 :rule ho_cong :premises (@p47 @p46)) % 0.33/0.59 (step @p49 :rule trans :premises (@p48 @p27)) % 0.33/0.59 (step @p50 :rule refl :args (@t20)) % 0.33/0.59 (step @p51 :rule ho_cong :premises (@p50 @p49)) % 0.33/0.59 (step @p52 :rule trans :premises (@p51 @p20)) % 0.33/0.59 (step @p53 :rule cong :premises (@p52) :args ((not (_ @t20 (_ @t61 @t72))))) % 0.33/0.59 (step @p54 :rule refl :args (@t15)) % 0.33/0.59 (step @p55 :rule refl :args (@t71)) % 0.33/0.59 (step @p56 :rule refl :args (@t38)) % 0.33/0.59 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t38 @t71))) % 0.33/0.59 (step @p58 :rule symm :premises (@p57)) % 0.33/0.59 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.33/0.59 (step @p60 :rule cong :premises (@p59) :args (@t73)) % 0.33/0.59 (step @p61 :rule refl :args (@t52)) % 0.33/0.59 (step @p62 :rule refl :args (@t9)) % 0.33/0.59 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t9 @t52))) % 0.33/0.59 (step @p64 :rule symm :premises (@p63)) % 0.33/0.59 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.33/0.59 (step @p66 :rule cong :premises (@p65) :args (@t74)) % 0.33/0.59 (step @p67 :rule nary_cong :premises (@p66 @p60) :args (@t75)) % 0.33/0.59 (step @p68 :rule cong :premises (@p67) :args ((forall @t10 @t75))) % 0.33/0.59 (step @p69 :rule bool-and-de-morgan :args (@t9 @t38 true)) % 0.33/0.59 (step @p70 :rule cong :premises (@p69) :args (@t76)) % 0.33/0.59 (step @p71 :rule trans :premises (@p70 @p68)) % 0.33/0.59 (step @p72 :rule cong :premises (@p71) :args (@t77)) % 0.33/0.59 (step @p73 :rule exists-elim :args ((= @t42 @t77))) % 0.33/0.59 (step @p74 :rule trans :premises (@p73 @p72)) % 0.33/0.59 (step @p75 :rule cong :premises (@p74) :args (@t43)) % 0.33/0.59 (step @p76 :rule trans :premises (@p17 @p75)) % 0.33/0.59 (step @p77 :rule ho_cong :premises (@p76 @p54)) % 0.33/0.59 (step @p78 :rule refl :args (@t60)) % 0.33/0.59 (step @p79 :rule refl :args (@t31)) % 0.33/0.59 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t31 @t60))) % 0.33/0.59 (step @p81 :rule symm :premises (@p80)) % 0.33/0.59 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.33/0.59 (step @p83 :rule refl :args (@t47)) % 0.33/0.59 (step @p84 :rule refl :args (@t6)) % 0.33/0.59 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t6 @t47))) % 0.33/0.59 (step @p86 :rule symm :premises (@p85)) % 0.33/0.59 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.33/0.59 (step @p88 :rule cong :premises (@p87) :args (@t78)) % 0.33/0.59 (step @p89 :rule nary_cong :premises (@p88 @p82) :args (@t79)) % 0.33/0.59 (step @p90 :rule cong :premises (@p89) :args ((forall @t32 @t79))) % 0.33/0.59 (step @p91 :rule bool-impl-elim :args (@t6 @t31)) % 0.33/0.59 (step @p92 :rule cong :premises (@p91) :args (@t33)) % 0.33/0.59 (step @p93 :rule trans :premises (@p92 @p90)) % 0.33/0.59 (step @p94 :rule cong :premises (@p93) :args (@t35)) % 0.33/0.59 (step @p95 :rule trans :premises (@p14 @p94)) % 0.33/0.59 (step @p96 :rule ho_cong :premises (@p95 @p77)) % 0.33/0.59 (step @p97 :rule ho_cong :premises (@p8 @p96)) % 0.33/0.59 (step @p98 :rule cong :premises (@p97) :args (@t18)) % 0.33/0.59 (step @p99 :rule trans :premises (@p98 @p53)) % 0.33/0.59 (step @p100 :rule eq_resolve :premises (@p6 @p99)) % 0.33/0.59 (step @p101 :rule skolemize :premises (@p100)) % 0.33/0.59 (step @p102 :rule bool-double-not-elim :args (@t81)) % 0.33/0.59 (step @p103 :rule refl :args (@t85)) % 0.33/0.59 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t85 (not @t84)))) % 0.33/0.59 (step @p105 :rule cnf_or_neg :args (@t85 0)) % 0.33/0.59 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.33/0.59 (step @p107 :rule reordering :premises (@p106) :args ((or @t81 @t85))) % 0.33/0.59 (step @p108 :rule chain_m_resolution :premises (@p107 @p101) :args (@t81 @t86 @t87)) % 0.33/0.59 (step @p109 :rule bool-double-not-elim :args (@t82)) % 0.33/0.59 (step @p110 :rule nary_cong :premises (@p103 @p109) :args ((or @t85 (not @t83)))) % 0.33/0.59 (step @p111 :rule cnf_or_neg :args (@t85 1)) % 0.33/0.59 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.33/0.59 (step @p113 :rule reordering :premises (@p112) :args ((or @t82 @t85))) % 0.33/0.59 (step @p114 :rule chain_m_resolution :premises (@p113 @p101) :args (@t82 @t86 @t87)) % 0.33/0.59 (step @p115 :rule cnf_and_pos :args (@t88 1)) % 0.33/0.59 (step @p116 :rule reordering :premises (@p115) :args ((or @t83 @t89))) % 0.33/0.59 (step @p117 :rule chain_m_resolution :premises (@p116 @p114) :args (@t89 (@list false) (@list @t82))) % 0.33/0.59 (step @p118 :rule beta-reduce :args ((= @t95 (forall @t32 (or @t45 @t93))))) % 0.33/0.59 (step @p119 :rule beta-reduce :args ((= (_ @t20 @t94) @t95))) % 0.33/0.59 (step @p120 :rule trans :premises (@p119 @p118)) % 0.33/0.59 (step @p121 :rule refl :args (@t90)) % 0.33/0.59 (step @p122 :rule refl :args (@t96)) % 0.33/0.59 (step @p123 :rule cong :premises (@p122 @p121) :args ((= @t96 @t90))) % 0.33/0.59 (step @p124 :rule symm :premises (@p123)) % 0.33/0.59 (step @p125 :rule eq_resolve :premises (@p122 @p124)) % 0.33/0.59 (step @p126 :rule refl :args (@t91)) % 0.33/0.59 (step @p127 :rule refl :args (@t97)) % 0.33/0.59 (step @p128 :rule cong :premises (@p127 @p126) :args ((= @t97 @t91))) % 0.33/0.59 (step @p129 :rule symm :premises (@p128)) % 0.33/0.59 (step @p130 :rule eq_resolve :premises (@p127 @p129)) % 0.33/0.59 (step @p131 :rule refl :args (@t44)) % 0.33/0.59 (step @p132 :rule refl :args (@t92)) % 0.33/0.59 (step @p133 :rule refl :args (@t98)) % 0.33/0.59 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t98 @t92))) % 0.33/0.59 (step @p135 :rule symm :premises (@p134)) % 0.33/0.59 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 0.33/0.59 (step @p137 :rule nary_cong :premises (@p136 @p131 @p130 @p125) :args (@t99)) % 0.33/0.59 (step @p138 :rule refl :args (@t48)) % 0.33/0.59 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t100)) % 0.33/0.59 (step @p140 :rule cong :premises (@p139) :args ((forall @t32 @t100))) % 0.33/0.59 (step @p141 :rule beta-reduce :args ((= @t106 @t99))) % 0.33/0.59 (step @p142 :rule nary_cong :premises (@p22 @p141) :args (@t107)) % 0.33/0.59 (step @p143 :rule cong :premises (@p142) :args (@t108)) % 0.33/0.59 (step @p144 :rule trans :premises (@p143 @p140)) % 0.33/0.59 (step @p145 :rule cong :premises (@p144) :args (@t109)) % 0.33/0.59 (step @p146 :rule beta-reduce :args ((= (_ @t61 @t105) @t109))) % 0.33/0.59 (step @p147 :rule trans :premises (@p146 @p145)) % 0.33/0.59 (step @p148 :rule aci_norm :args ((= (and @t103 @t110) @t104))) % 0.33/0.59 (step @p149 :rule beta-reduce :args ((= @t112 @t110))) % 0.33/0.59 (step @p150 :rule refl :args (@t103)) % 0.33/0.59 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t113)) % 0.33/0.59 (step @p152 :rule trans :premises (@p151 @p148)) % 0.33/0.59 (step @p153 :rule cong :premises (@p152) :args (@t114)) % 0.33/0.59 (step @p154 :rule beta-reduce :args ((= (_ @t116 @t111) @t114))) % 0.33/0.59 (step @p155 :rule trans :premises (@p154 @p153)) % 0.33/0.59 (step @p156 :rule aci_norm :args ((= (and @t54 @t117) @t110))) % 0.33/0.59 (step @p157 :rule beta-reduce :args ((= @t119 @t117))) % 0.33/0.59 (step @p158 :rule refl :args (@t54)) % 0.33/0.59 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t120)) % 0.33/0.59 (step @p160 :rule trans :premises (@p159 @p156)) % 0.33/0.59 (step @p161 :rule cong :premises (@p160) :args (@t121)) % 0.33/0.59 (step @p162 :rule beta-reduce :args ((= (_ (lambda @t115 (and @t54 @t25)) @t118) @t121))) % 0.33/0.59 (step @p163 :rule trans :premises (@p162 @p161)) % 0.33/0.59 (step @p164 :rule beta-reduce :args ((= (_ @t122 @t11) @t118))) % 0.33/0.59 (step @p165 :rule refl :args (@t11)) % 0.33/0.59 (step @p166 :rule beta-reduce :args ((= (_ @t27 @t12) @t122))) % 0.33/0.59 (step @p167 :rule ho_cong :premises (@p166 @p165)) % 0.33/0.59 (step @p168 :rule trans :premises (@p167 @p164)) % 0.33/0.59 (step @p169 :rule refl :args (@t25)) % 0.33/0.59 (step @p170 :rule beta-reduce :args ((= @t123 @t54))) % 0.33/0.59 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t124)) % 0.33/0.59 (step @p172 :rule cong :premises (@p171) :args (@t125)) % 0.33/0.59 (step @p173 :rule beta-reduce :args ((= (_ @t27 @t55) @t125))) % 0.33/0.59 (step @p174 :rule trans :premises (@p173 @p172)) % 0.33/0.59 (step @p175 :rule refl :args (@t27)) % 0.33/0.59 (step @p176 :rule ho_cong :premises (@p175 @p46)) % 0.33/0.59 (step @p177 :rule trans :premises (@p176 @p174)) % 0.33/0.59 (step @p178 :rule ho_cong :premises (@p177 @p168)) % 0.33/0.59 (step @p179 :rule trans :premises (@p178 @p163)) % 0.33/0.59 (step @p180 :rule beta-reduce :args ((= (_ @t27 @t17) @t116))) % 0.33/0.59 (step @p181 :rule ho_cong :premises (@p180 @p179)) % 0.33/0.59 (step @p182 :rule trans :premises (@p181 @p155)) % 0.33/0.59 (step @p183 :rule ho_cong :premises (@p47 @p182)) % 0.33/0.59 (step @p184 :rule trans :premises (@p183 @p147)) % 0.33/0.59 (step @p185 :rule ho_cong :premises (@p50 @p184)) % 0.33/0.59 (step @p186 :rule trans :premises (@p185 @p120)) % 0.33/0.59 (step @p187 :rule refl :args (@t12)) % 0.33/0.59 (step @p188 :rule ho_cong :premises (@p10 @p187)) % 0.33/0.59 (step @p189 :rule ho_cong :premises (@p188 @p165)) % 0.33/0.59 (step @p190 :rule ho_cong :premises (@p10 @p77)) % 0.33/0.59 (step @p191 :rule ho_cong :premises (@p190 @p189)) % 0.33/0.59 (step @p192 :rule refl :args (@t17)) % 0.33/0.59 (step @p193 :rule ho_cong :premises (@p10 @p192)) % 0.33/0.59 (step @p194 :rule ho_cong :premises (@p193 @p191)) % 0.33/0.59 (step @p195 :rule ho_cong :premises (@p95 @p194)) % 0.33/0.59 (step @p196 :rule ho_cong :premises (@p8 @p195)) % 0.33/0.59 (step @p197 :rule trans :premises (@p196 @p186)) % 0.33/0.59 (step @p198 :rule eq_resolve :premises (@p5 @p197)) % 0.33/0.59 (step @p199 :rule instantiate :premises (@p198) :args ((@list @t80))) % 0.33/0.59 (step @p200 :rule cnf_or_pos :args (@t126)) % 0.33/0.59 (step @p201 :rule reordering :premises (@p200) :args ((or @t84 @t88 (not @t126)))) % 0.33/0.59 (step @p202 false :rule chain_m_resolution :premises (@p201 @p199 @p117 @p108) :args (false (@list false true false) (@list @t126 @t88 @t81))) % 0.33/0.59 ) % 0.33/0.59 % SZS output end Proof % 0.33/0.59 % cvc5 exiting %------------------------------------------------------------------------------