%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT333^3 : 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 : 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 08:14:45 AM UTC 2026 % Result : Theorem 1.53s 1.70s % Output : Proof 1.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT333^3 : 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 % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 22:32:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 1.53/1.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.53/1.70 % SZS status Theorem % 1.53/1.70 % SZS output start Proof % 1.53/1.70 ( % 1.53/1.70 (declare-sort $$unsorted 0) % 1.53/1.70 (declare-sort tptp.mworld 0) % 1.53/1.70 (declare-const tptp.mactual tptp.mworld) % 1.53/1.70 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 1.53/1.70 (declare-const tptp.john $$unsorted) % 1.53/1.70 (declare-const tptp.math $$unsorted) % 1.53/1.70 (declare-const tptp.cs $$unsorted) % 1.53/1.70 (declare-const tptp.mary $$unsorted) % 1.53/1.70 (declare-const tptp.teach (-> $$unsorted $$unsorted tptp.mworld Bool)) % 1.53/1.70 (declare-const tptp.sue $$unsorted) % 1.53/1.70 (declare-const tptp.psych $$unsorted) % 1.53/1.70 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 1.53/1.70 (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)))))) % 1.53/1.70 (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))))))) % 1.53/1.71 (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))))))) % 1.53/1.71 (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))))))) % 1.53/1.71 (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))))))) % 1.53/1.71 (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)))))))) % 1.53/1.71 (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)))))))) % 1.53/1.71 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 1.53/1.71 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 1.53/1.71 (define @t1 () (@var "V" tptp.mworld)) % 1.53/1.71 (define @t2 () (@var "W" tptp.mworld)) % 1.53/1.71 (define @t3 () (_ (_ tptp.mrel @t2) @t1)) % 1.53/1.71 (define @t4 () (@list @t1)) % 1.53/1.71 (define @t5 () (@list @t2)) % 1.53/1.71 (define @t6 () (_ (_ tptp.teach tptp.sue) tptp.psych)) % 1.53/1.71 (define @t7 () (_ (_ tptp.teach tptp.mary) tptp.psych)) % 1.53/1.71 (define @t8 () (@var "__flatten_var_0" tptp.mworld)) % 1.53/1.71 (define @t9 () (@var "X" $$unsorted)) % 1.53/1.71 (define @t10 () (_ (_ tptp.teach @t9) tptp.cs)) % 1.53/1.71 (define @t11 () (@list @t9 @t8)) % 1.53/1.71 (define @t12 () (lambda @t11 (_ @t10 @t8))) % 1.53/1.71 (define @t13 () (_ tptp.teach tptp.john)) % 1.53/1.71 (define @t14 () (_ @t13 tptp.math)) % 1.53/1.71 (define @t15 () (_ @t13 @t9)) % 1.53/1.71 (define @t16 () (lambda @t11 (_ (_ tptp.mbox @t15) @t8))) % 1.53/1.71 (define @t17 () (not (_ tptp.mlocal (_ tptp.mexists_di @t16)))) % 1.53/1.71 (define @t18 () (@var "Phi" (-> tptp.mworld Bool))) % 1.53/1.71 (define @t19 () (lambda (@list @t18) (_ @t18 tptp.mactual))) % 1.53/1.71 (define @t20 () (@var "A" (-> tptp.mworld Bool))) % 1.53/1.71 (define @t21 () (_ @t20 @t2)) % 1.53/1.71 (define @t22 () (lambda (@list @t20 @t2) (not @t21))) % 1.53/1.71 (define @t23 () (@var "B" (-> tptp.mworld Bool))) % 1.53/1.71 (define @t24 () (_ @t23 @t2)) % 1.53/1.71 (define @t25 () (@list @t20 @t23 @t2)) % 1.53/1.71 (define @t26 () (lambda @t25 (and @t21 @t24))) % 1.53/1.71 (define @t27 () (lambda @t25 (or @t21 @t24))) % 1.53/1.71 (define @t28 () (lambda @t25 (=> @t21 @t24))) % 1.53/1.71 (define @t29 () (lambda @t25 (= @t21 @t24))) % 1.53/1.71 (define @t30 () (_ @t18 @t1)) % 1.53/1.71 (define @t31 () (forall @t4 (=> @t3 @t30))) % 1.53/1.71 (define @t32 () (@list @t18 @t2)) % 1.53/1.71 (define @t33 () (lambda @t32 @t31)) % 1.53/1.71 (define @t34 () (lambda @t32 (exists @t4 (and @t3 @t30)))) % 1.53/1.71 (define @t35 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 1.53/1.71 (define @t36 () (_ (_ @t35 @t9) @t2)) % 1.53/1.71 (define @t37 () (@list @t9)) % 1.53/1.71 (define @t38 () (@list @t35 @t2)) % 1.53/1.71 (define @t39 () (lambda @t38 (forall @t37 @t36))) % 1.53/1.71 (define @t40 () (exists @t37 @t36)) % 1.53/1.71 (define @t41 () (lambda @t38 @t40)) % 1.53/1.71 (define @t42 () (tptp.teach tptp.john @t9 @t1)) % 1.53/1.71 (define @t43 () (not (tptp.mrel tptp.mactual @t1))) % 1.53/1.71 (define @t44 () (forall @t37 (not (forall @t4 (or @t43 @t42))))) % 1.53/1.71 (define @t45 () (tptp.mrel @t2 @t1)) % 1.53/1.71 (define @t46 () (not @t45)) % 1.53/1.71 (define @t47 () (forall @t4 (or @t46 @t42))) % 1.53/1.71 (define @t48 () (lambda @t5 (not (forall @t37 (not @t47))))) % 1.53/1.71 (define @t49 () (_ @t48 tptp.mactual)) % 1.53/1.71 (define @t50 () (forall @t4 (or (not (tptp.mrel @t8 @t1)) @t42))) % 1.53/1.71 (define @t51 () (lambda @t11 @t50)) % 1.53/1.71 (define @t52 () (_ @t51 @t9 @t2)) % 1.53/1.71 (define @t53 () (not @t52)) % 1.53/1.71 (define @t54 () (forall @t37 @t53)) % 1.53/1.71 (define @t55 () (not @t54)) % 1.53/1.71 (define @t56 () (lambda @t5 @t55)) % 1.53/1.71 (define @t57 () (_ @t35 @t9 @t2)) % 1.53/1.71 (define @t58 () (lambda @t38 (not (forall @t37 (not @t57))))) % 1.53/1.71 (define @t59 () (_ @t15 @t1)) % 1.53/1.71 (define @t60 () (or @t46 @t59)) % 1.53/1.71 (define @t61 () (_ @t15 @t1)) % 1.53/1.71 (define @t62 () (or @t46 @t61)) % 1.53/1.71 (define @t63 () (forall @t4 @t62)) % 1.53/1.71 (define @t64 () (lambda @t5 @t63)) % 1.53/1.71 (define @t65 () (_ @t18 @t1)) % 1.53/1.71 (define @t66 () (lambda @t32 (forall @t4 (or @t46 @t65)))) % 1.53/1.71 (define @t67 () (_ @t66 @t15)) % 1.53/1.71 (define @t68 () (lambda @t11 (_ @t67 @t8))) % 1.53/1.71 (define @t69 () (not @t3)) % 1.53/1.71 (define @t70 () (or @t69 @t30)) % 1.53/1.71 (define @t71 () (not @t36)) % 1.53/1.71 (define @t72 () (forall @t37 @t71)) % 1.53/1.71 (define @t73 () (not @t72)) % 1.53/1.71 (define @t74 () (tptp.teach tptp.john tptp.math @t1)) % 1.53/1.71 (define @t75 () (@quantifiers_skolemize (forall @t4 (or @t43 @t74)) 0)) % 1.53/1.71 (define @t76 () (tptp.mrel tptp.mactual @t75)) % 1.53/1.71 (define @t77 () (tptp.teach tptp.john tptp.math @t75)) % 1.53/1.71 (define @t78 () (not @t76)) % 1.53/1.71 (define @t79 () (or @t78 @t77)) % 1.53/1.71 (define @t80 () (@list true)) % 1.53/1.71 (define @t81 () (@list @t79)) % 1.53/1.71 (define @t82 () (and @t77 (not (forall @t37 (not (tptp.teach @t9 tptp.cs @t75)))) (tptp.teach tptp.mary tptp.psych @t75) (tptp.teach tptp.sue tptp.psych @t75))) % 1.53/1.71 (define @t83 () (not @t82)) % 1.53/1.71 (define @t84 () (tptp.teach tptp.sue tptp.psych @t1)) % 1.53/1.71 (define @t85 () (tptp.teach tptp.mary tptp.psych @t1)) % 1.53/1.71 (define @t86 () (not (forall @t37 (not (tptp.teach @t9 tptp.cs @t1))))) % 1.53/1.71 (define @t87 () (and @t74 @t86 @t85 @t84)) % 1.53/1.71 (define @t88 () (lambda @t5 (forall @t4 (or @t46 @t87)))) % 1.53/1.71 (define @t89 () (_ @t88 tptp.mactual)) % 1.53/1.71 (define @t90 () (_ @t6 @t1)) % 1.53/1.71 (define @t91 () (_ @t7 @t1)) % 1.53/1.71 (define @t92 () (_ @t14 @t1)) % 1.53/1.71 (define @t93 () (and @t92 @t86 @t91 @t90)) % 1.53/1.71 (define @t94 () (or @t46 @t93)) % 1.53/1.71 (define @t95 () (_ @t6 @t2)) % 1.53/1.71 (define @t96 () (_ @t7 @t2)) % 1.53/1.71 (define @t97 () (tptp.teach @t9 tptp.cs @t2)) % 1.53/1.71 (define @t98 () (not (forall @t37 (not @t97)))) % 1.53/1.71 (define @t99 () (_ @t14 @t2)) % 1.53/1.71 (define @t100 () (and @t99 @t98 @t96 @t95)) % 1.53/1.71 (define @t101 () (lambda @t5 @t100)) % 1.53/1.71 (define @t102 () (_ @t101 @t1)) % 1.53/1.71 (define @t103 () (or @t46 @t102)) % 1.53/1.71 (define @t104 () (forall @t4 @t103)) % 1.53/1.71 (define @t105 () (lambda @t5 @t104)) % 1.53/1.71 (define @t106 () (and @t98 @t96 @t95)) % 1.53/1.71 (define @t107 () (lambda @t5 @t106)) % 1.53/1.71 (define @t108 () (_ @t107 @t2)) % 1.53/1.71 (define @t109 () (and @t99 @t108)) % 1.53/1.71 (define @t110 () (lambda @t5 @t109)) % 1.53/1.71 (define @t111 () (@list @t23 @t2)) % 1.53/1.71 (define @t112 () (lambda @t111 (and @t99 @t24))) % 1.53/1.71 (define @t113 () (and @t96 @t95)) % 1.53/1.71 (define @t114 () (lambda @t5 @t113)) % 1.53/1.71 (define @t115 () (_ @t114 @t2)) % 1.53/1.71 (define @t116 () (and @t98 @t115)) % 1.53/1.71 (define @t117 () (lambda @t5 @t116)) % 1.53/1.71 (define @t118 () (lambda @t111 (and @t96 @t24))) % 1.53/1.71 (define @t119 () (lambda @t5 @t98)) % 1.53/1.71 (define @t120 () (_ @t119 @t2)) % 1.53/1.71 (define @t121 () (and @t120 @t24)) % 1.53/1.71 (define @t122 () (lambda @t111 @t121)) % 1.53/1.71 (define @t123 () (_ @t10 @t2)) % 1.53/1.71 (define @t124 () (not @t123)) % 1.53/1.71 (define @t125 () (_ @t12 @t9 @t2)) % 1.53/1.71 (define @t126 () (not @t125)) % 1.53/1.71 (define @t127 () (forall @t37 @t126)) % 1.53/1.71 (define @t128 () (not @t127)) % 1.53/1.71 (define @t129 () (lambda @t5 @t128)) % 1.53/1.71 (define @t130 () (or @t78 @t82)) % 1.53/1.71 (assume @p1 (forall @t5 (exists @t4 @t3))) % 1.53/1.71 (assume @p2 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mand @t14) (_ (_ tptp.mand (_ tptp.mexists_di @t12)) (_ (_ tptp.mand @t7) @t6)))))) % 1.53/1.71 (assume @p3 @t17) % 1.53/1.71 (assume @p4 true) % 1.53/1.71 (step @p5 (= tptp.mlocal @t19) :rule refl :args (@t19)) % 1.53/1.71 (step @p6 (= tptp.mnot @t22) :rule refl :args (@t22)) % 1.53/1.71 (step @p7 (= tptp.mand @t26) :rule refl :args (@t26)) % 1.53/1.71 (step @p8 (= tptp.mor @t27) :rule refl :args (@t27)) % 1.53/1.71 (step @p9 (= tptp.mimplies @t28) :rule refl :args (@t28)) % 1.53/1.71 (step @p10 (= tptp.mequiv @t29) :rule refl :args (@t29)) % 1.53/1.71 (step @p11 (= tptp.mbox @t33) :rule refl :args (@t33)) % 1.53/1.71 (step @p12 (= tptp.mdia @t34) :rule refl :args (@t34)) % 1.53/1.71 (step @p13 (= tptp.mforall_di @t39) :rule refl :args (@t39)) % 1.53/1.71 (step @p14 (= tptp.mexists_di @t41) :rule refl :args (@t41)) % 1.53/1.71 (step @p15 :rule bool-double-not-elim :args (@t44)) % 1.53/1.71 (step @p16 :rule beta-reduce :args ((= @t49 (not @t44)))) % 1.53/1.71 (step @p17 :rule beta-reduce :args ((= (_ @t19 @t48) @t49))) % 1.53/1.71 (step @p18 :rule trans :premises (@p17 @p16)) % 1.53/1.71 (step @p19 :rule beta-reduce :args ((= @t52 @t47))) % 1.53/1.71 (step @p20 :rule cong :premises (@p19) :args (@t53)) % 1.53/1.71 (step @p21 :rule cong :premises (@p20) :args (@t54)) % 1.53/1.71 (step @p22 :rule cong :premises (@p21) :args (@t55)) % 1.53/1.71 (step @p23 :rule cong :premises (@p22) :args (@t56)) % 1.53/1.71 (step @p24 :rule beta-reduce :args ((= (_ @t58 @t51) @t56))) % 1.53/1.71 (step @p25 :rule trans :premises (@p24 @p23)) % 1.53/1.71 (step @p26 :rule beta-reduce :args ((= (_ (lambda @t5 @t47) @t8) @t50))) % 1.53/1.71 (step @p27 :rule refl :args (@t8)) % 1.53/1.71 (step @p28 :rule refl :args (@t42)) % 1.53/1.71 (step @p29 :rule refl :args (@t59)) % 1.53/1.71 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t59 @t42))) % 1.53/1.71 (step @p31 :rule symm :premises (@p30)) % 1.53/1.71 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 1.53/1.71 (step @p33 :rule refl :args (@t46)) % 1.53/1.71 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t60)) % 1.53/1.71 (step @p35 :rule cong :premises (@p34) :args ((forall @t4 @t60))) % 1.53/1.71 (step @p36 :rule refl :args (@t61)) % 1.53/1.71 (step @p37 :rule refl :args (@t46)) % 1.53/1.71 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t62)) % 1.53/1.71 (step @p39 :rule cong :premises (@p38) :args (@t63)) % 1.53/1.71 (step @p40 :rule trans :premises (@p39 @p35)) % 1.53/1.71 (step @p41 :rule cong :premises (@p40) :args (@t64)) % 1.53/1.71 (step @p42 :rule beta-reduce :args ((= @t67 @t64))) % 1.53/1.71 (step @p43 :rule trans :premises (@p42 @p41)) % 1.53/1.71 (step @p44 :rule ho_cong :premises (@p43 @p27)) % 1.53/1.71 (step @p45 :rule trans :premises (@p44 @p26)) % 1.53/1.71 (step @p46 :rule cong :premises (@p45) :args (@t68)) % 1.53/1.71 (step @p47 :rule refl :args (@t58)) % 1.53/1.71 (step @p48 :rule ho_cong :premises (@p47 @p46)) % 1.53/1.71 (step @p49 :rule trans :premises (@p48 @p25)) % 1.53/1.71 (step @p50 :rule refl :args (@t19)) % 1.53/1.71 (step @p51 :rule ho_cong :premises (@p50 @p49)) % 1.53/1.71 (step @p52 :rule trans :premises (@p51 @p18)) % 1.53/1.71 (step @p53 :rule cong :premises (@p52) :args ((not (_ @t19 (_ @t58 @t68))))) % 1.53/1.71 (step @p54 :rule trans :premises (@p53 @p15)) % 1.53/1.71 (step @p55 :rule refl :args (@t15)) % 1.53/1.71 (step @p56 :rule refl :args (@t65)) % 1.53/1.71 (step @p57 :rule refl :args (@t30)) % 1.53/1.71 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t30 @t65))) % 1.53/1.71 (step @p59 :rule symm :premises (@p58)) % 1.53/1.71 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 1.53/1.71 (step @p61 :rule refl :args (@t45)) % 1.53/1.71 (step @p62 :rule refl :args (@t3)) % 1.53/1.71 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t3 @t45))) % 1.53/1.71 (step @p64 :rule symm :premises (@p63)) % 1.53/1.71 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 1.53/1.71 (step @p66 :rule cong :premises (@p65) :args (@t69)) % 1.53/1.71 (step @p67 :rule nary_cong :premises (@p66 @p60) :args (@t70)) % 1.53/1.71 (step @p68 :rule cong :premises (@p67) :args ((forall @t4 @t70))) % 1.53/1.71 (step @p69 :rule bool-impl-elim :args (@t3 @t30)) % 1.53/1.71 (step @p70 :rule cong :premises (@p69) :args (@t31)) % 1.53/1.71 (step @p71 :rule trans :premises (@p70 @p68)) % 1.53/1.71 (step @p72 :rule cong :premises (@p71) :args (@t33)) % 1.53/1.71 (step @p73 :rule trans :premises (@p11 @p72)) % 1.53/1.71 (step @p74 :rule ho_cong :premises (@p73 @p55)) % 1.53/1.71 (step @p75 :rule ho_cong :premises (@p74 @p27)) % 1.53/1.71 (step @p76 :rule cong :premises (@p75) :args (@t16)) % 1.53/1.71 (step @p77 :rule refl :args (@t57)) % 1.53/1.71 (step @p78 :rule refl :args (@t36)) % 1.53/1.71 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t36 @t57))) % 1.53/1.71 (step @p80 :rule symm :premises (@p79)) % 1.53/1.71 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 1.53/1.71 (step @p82 :rule cong :premises (@p81) :args (@t71)) % 1.53/1.71 (step @p83 :rule cong :premises (@p82) :args (@t72)) % 1.53/1.71 (step @p84 :rule cong :premises (@p83) :args (@t73)) % 1.53/1.71 (step @p85 :rule exists-elim :args ((= @t40 @t73))) % 1.53/1.71 (step @p86 :rule trans :premises (@p85 @p84)) % 1.53/1.71 (step @p87 :rule cong :premises (@p86) :args (@t41)) % 1.53/1.71 (step @p88 :rule trans :premises (@p14 @p87)) % 1.53/1.71 (step @p89 :rule ho_cong :premises (@p88 @p76)) % 1.53/1.71 (step @p90 :rule ho_cong :premises (@p5 @p89)) % 1.53/1.71 (step @p91 :rule cong :premises (@p90) :args (@t17)) % 1.53/1.71 (step @p92 :rule trans :premises (@p91 @p54)) % 1.53/1.71 (step @p93 :rule eq_resolve :premises (@p3 @p92)) % 1.53/1.71 (step @p94 :rule instantiate :premises (@p93) :args ((@list tptp.math))) % 1.53/1.71 (step @p95 :rule skolemize :premises (@p94)) % 1.53/1.71 (step @p96 :rule bool-double-not-elim :args (@t76)) % 1.53/1.71 (step @p97 :rule refl :args (@t79)) % 1.53/1.71 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t79 (not @t78)))) % 1.53/1.71 (step @p99 :rule cnf_or_neg :args (@t79 0)) % 1.53/1.71 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 1.53/1.71 (step @p101 :rule reordering :premises (@p100) :args ((or @t76 @t79))) % 1.53/1.71 (step @p102 :rule chain_m_resolution :premises (@p101 @p95) :args (@t76 @t80 @t81)) % 1.53/1.71 (step @p103 :rule cnf_or_neg :args (@t79 1)) % 1.53/1.71 (step @p104 :rule chain_m_resolution :premises (@p103 @p95) :args ((not @t77) @t80 @t81)) % 1.53/1.71 (step @p105 :rule cnf_and_pos :args (@t82 0)) % 1.53/1.71 (step @p106 :rule reordering :premises (@p105) :args ((or @t77 @t83))) % 1.53/1.71 (step @p107 :rule chain_m_resolution :premises (@p106 @p104) :args (@t83 @t80 (@list @t77))) % 1.53/1.71 (step @p108 :rule beta-reduce :args ((= @t89 (forall @t4 (or @t43 @t87))))) % 1.53/1.71 (step @p109 :rule beta-reduce :args ((= (_ @t19 @t88) @t89))) % 1.53/1.71 (step @p110 :rule trans :premises (@p109 @p108)) % 1.53/1.71 (step @p111 :rule refl :args (@t84)) % 1.53/1.71 (step @p112 :rule refl :args (@t90)) % 1.53/1.71 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t90 @t84))) % 1.53/1.71 (step @p114 :rule symm :premises (@p113)) % 1.53/1.71 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 1.53/1.71 (step @p116 :rule refl :args (@t85)) % 1.53/1.71 (step @p117 :rule refl :args (@t91)) % 1.53/1.71 (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t91 @t85))) % 1.53/1.71 (step @p119 :rule symm :premises (@p118)) % 1.53/1.71 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 1.53/1.71 (step @p121 :rule refl :args (@t86)) % 1.53/1.71 (step @p122 :rule refl :args (@t74)) % 1.53/1.71 (step @p123 :rule refl :args (@t92)) % 1.53/1.71 (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t92 @t74))) % 1.53/1.71 (step @p125 :rule symm :premises (@p124)) % 1.53/1.71 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 1.53/1.71 (step @p127 :rule nary_cong :premises (@p126 @p121 @p120 @p115) :args (@t93)) % 1.53/1.71 (step @p128 :rule nary_cong :premises (@p33 @p127) :args (@t94)) % 1.53/1.71 (step @p129 :rule cong :premises (@p128) :args ((forall @t4 @t94))) % 1.53/1.71 (step @p130 :rule beta-reduce :args ((= @t102 @t93))) % 1.53/1.71 (step @p131 :rule nary_cong :premises (@p37 @p130) :args (@t103)) % 1.53/1.71 (step @p132 :rule cong :premises (@p131) :args (@t104)) % 1.53/1.71 (step @p133 :rule trans :premises (@p132 @p129)) % 1.53/1.71 (step @p134 :rule cong :premises (@p133) :args (@t105)) % 1.53/1.71 (step @p135 :rule beta-reduce :args ((= (_ @t66 @t101) @t105))) % 1.53/1.71 (step @p136 :rule trans :premises (@p135 @p134)) % 1.53/1.71 (step @p137 :rule aci_norm :args ((= (and @t99 @t106) @t100))) % 1.53/1.71 (step @p138 :rule beta-reduce :args ((= @t108 @t106))) % 1.53/1.71 (step @p139 :rule refl :args (@t99)) % 1.53/1.71 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t109)) % 1.53/1.71 (step @p141 :rule trans :premises (@p140 @p137)) % 1.53/1.71 (step @p142 :rule cong :premises (@p141) :args (@t110)) % 1.53/1.71 (step @p143 :rule beta-reduce :args ((= (_ @t112 @t107) @t110))) % 1.53/1.71 (step @p144 :rule trans :premises (@p143 @p142)) % 1.53/1.71 (step @p145 :rule aci_norm :args ((= (and @t98 @t113) @t106))) % 1.53/1.71 (step @p146 :rule beta-reduce :args ((= @t115 @t113))) % 1.53/1.71 (step @p147 :rule refl :args (@t98)) % 1.53/1.71 (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t116)) % 1.53/1.71 (step @p149 :rule trans :premises (@p148 @p145)) % 1.53/1.71 (step @p150 :rule cong :premises (@p149) :args (@t117)) % 1.53/1.71 (step @p151 :rule beta-reduce :args ((= (_ (lambda @t111 (and @t98 @t24)) @t114) @t117))) % 1.53/1.71 (step @p152 :rule trans :premises (@p151 @p150)) % 1.53/1.71 (step @p153 :rule beta-reduce :args ((= (_ @t118 @t6) @t114))) % 1.53/1.71 (step @p154 :rule refl :args (@t6)) % 1.53/1.71 (step @p155 :rule beta-reduce :args ((= (_ @t26 @t7) @t118))) % 1.53/1.71 (step @p156 :rule ho_cong :premises (@p155 @p154)) % 1.53/1.71 (step @p157 :rule trans :premises (@p156 @p153)) % 1.53/1.71 (step @p158 :rule refl :args (@t24)) % 1.53/1.71 (step @p159 :rule beta-reduce :args ((= @t120 @t98))) % 1.53/1.71 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t121)) % 1.53/1.71 (step @p161 :rule cong :premises (@p160) :args (@t122)) % 1.53/1.71 (step @p162 :rule beta-reduce :args ((= (_ @t26 @t119) @t122))) % 1.53/1.71 (step @p163 :rule trans :premises (@p162 @p161)) % 1.53/1.71 (step @p164 :rule refl :args (@t97)) % 1.53/1.71 (step @p165 :rule refl :args (@t123)) % 1.53/1.71 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t123 @t97))) % 1.53/1.71 (step @p167 :rule symm :premises (@p166)) % 1.53/1.71 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 1.53/1.71 (step @p169 :rule cong :premises (@p168) :args (@t124)) % 1.53/1.71 (step @p170 :rule cong :premises (@p169) :args ((forall @t37 @t124))) % 1.53/1.71 (step @p171 :rule beta-reduce :args ((= @t125 @t123))) % 1.53/1.71 (step @p172 :rule cong :premises (@p171) :args (@t126)) % 1.53/1.71 (step @p173 :rule cong :premises (@p172) :args (@t127)) % 1.53/1.71 (step @p174 :rule trans :premises (@p173 @p170)) % 1.53/1.71 (step @p175 :rule cong :premises (@p174) :args (@t128)) % 1.53/1.71 (step @p176 :rule cong :premises (@p175) :args (@t129)) % 1.53/1.71 (step @p177 :rule beta-reduce :args ((= (_ @t58 @t12) @t129))) % 1.53/1.71 (step @p178 :rule trans :premises (@p177 @p176)) % 1.53/1.71 (step @p179 :rule refl :args (@t26)) % 1.53/1.71 (step @p180 :rule ho_cong :premises (@p179 @p178)) % 1.53/1.71 (step @p181 :rule trans :premises (@p180 @p163)) % 1.53/1.71 (step @p182 :rule ho_cong :premises (@p181 @p157)) % 1.53/1.71 (step @p183 :rule trans :premises (@p182 @p152)) % 1.53/1.71 (step @p184 :rule beta-reduce :args ((= (_ @t26 @t14) @t112))) % 1.53/1.71 (step @p185 :rule ho_cong :premises (@p184 @p183)) % 1.53/1.71 (step @p186 :rule trans :premises (@p185 @p144)) % 1.53/1.71 (step @p187 :rule refl :args (@t66)) % 1.53/1.71 (step @p188 :rule ho_cong :premises (@p187 @p186)) % 1.53/1.71 (step @p189 :rule trans :premises (@p188 @p136)) % 1.53/1.71 (step @p190 :rule ho_cong :premises (@p50 @p189)) % 1.53/1.71 (step @p191 :rule trans :premises (@p190 @p110)) % 1.53/1.71 (step @p192 :rule refl :args (@t7)) % 1.53/1.71 (step @p193 :rule ho_cong :premises (@p7 @p192)) % 1.53/1.71 (step @p194 :rule ho_cong :premises (@p193 @p154)) % 1.53/1.71 (step @p195 :rule refl :args (@t12)) % 1.53/1.71 (step @p196 :rule ho_cong :premises (@p88 @p195)) % 1.53/1.71 (step @p197 :rule ho_cong :premises (@p7 @p196)) % 1.53/1.71 (step @p198 :rule ho_cong :premises (@p197 @p194)) % 1.53/1.71 (step @p199 :rule refl :args (@t14)) % 1.53/1.71 (step @p200 :rule ho_cong :premises (@p7 @p199)) % 1.53/1.71 (step @p201 :rule ho_cong :premises (@p200 @p198)) % 1.53/1.71 (step @p202 :rule ho_cong :premises (@p73 @p201)) % 1.53/1.71 (step @p203 :rule ho_cong :premises (@p5 @p202)) % 1.53/1.71 (step @p204 :rule trans :premises (@p203 @p191)) % 1.53/1.71 (step @p205 :rule eq_resolve :premises (@p2 @p204)) % 1.53/1.71 (step @p206 :rule instantiate :premises (@p205) :args ((@list @t75))) % 1.53/1.71 (step @p207 :rule cnf_or_pos :args (@t130)) % 1.53/1.71 (step @p208 :rule reordering :premises (@p207) :args ((or @t78 @t82 (not @t130)))) % 1.53/1.71 (step @p209 false :rule chain_m_resolution :premises (@p208 @p206 @p107 @p102) :args (false (@list false true false) (@list @t130 @t82 @t76))) % 1.53/1.71 ) % 1.53/1.71 % SZS output end Proof % 1.53/1.71 % cvc5 exiting %------------------------------------------------------------------------------