%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 09:07:16 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 : Tue Jun 2 23:03:29 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-sort tptp.d_unsorted 0) % 0.38/0.57 (declare-const tptp.mnot (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.mor (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.mand (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.mimplies (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.mbox_s4 (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.iatom (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.inot (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.iand (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ior (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.d_unsorted_0 tptp.d_unsorted) % 0.38/0.57 (declare-const tptp.d2unsorted (-> tptp.d_unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.itrue (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.iinvalid (-> (-> $$unsorted Bool) Bool)) % 0.38/0.57 (declare-const tptp.icountersatisfiable (-> (-> $$unsorted Bool) Bool)) % 0.38/0.57 (declare-const tptp.isatisfiable (-> (-> $$unsorted Bool) Bool)) % 0.38/0.57 (declare-const tptp.ivalid (-> (-> $$unsorted Bool) Bool)) % 0.38/0.57 (declare-const tptp.ixor (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.iequiv (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.iimplied (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.iimplies (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.57 (define @t1 () (_ tptp.d2unsorted tptp.d_unsorted_0)) % 0.38/0.57 (define @t2 () (@var "W" $$unsorted)) % 0.38/0.57 (define @t3 () (@var "Phi" (-> $$unsorted Bool))) % 0.38/0.57 (define @t4 () (_ @t3 @t2)) % 0.38/0.57 (define @t5 () (@list @t2)) % 0.38/0.57 (define @t6 () (forall @t5 (not @t4))) % 0.38/0.57 (define @t7 () (@list @t3)) % 0.38/0.57 (define @t8 () (forall @t5 @t4)) % 0.38/0.57 (define @t9 () (@var "Bound_variable_754" $$unsorted)) % 0.38/0.57 (define @t10 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.57 (define @t11 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t12 () (_ tptp.irel @t11)) % 0.38/0.57 (define @t13 () (@var "Bound_variable_717" $$unsorted)) % 0.38/0.57 (define @t14 () (@var "Q" (-> $$unsorted Bool))) % 0.38/0.57 (define @t15 () (@var "Bound_variable_747" $$unsorted)) % 0.38/0.57 (define @t16 () (@var "Bound_variable_709" $$unsorted)) % 0.38/0.57 (define @t17 () (@var "Flatten_var_0" $$unsorted)) % 0.38/0.57 (define @t18 () (_ (_ tptp.irel @t17) @t11)) % 0.38/0.57 (define @t19 () (not @t18)) % 0.38/0.57 (define @t20 () (@list @t10 @t14 @t17)) % 0.38/0.57 (define @t21 () (_ @t10 @t11)) % 0.38/0.57 (define @t22 () (or @t19 @t21)) % 0.38/0.57 (define @t23 () (@list @t11)) % 0.38/0.57 (define @t24 () (forall @t23 @t22)) % 0.38/0.57 (define @t25 () (_ @t14 @t11)) % 0.38/0.57 (define @t26 () (or @t19 @t25)) % 0.38/0.57 (define @t27 () (forall @t23 @t26)) % 0.38/0.57 (define @t28 () (or (not @t27) @t24)) % 0.38/0.57 (define @t29 () (not @t24)) % 0.38/0.57 (define @t30 () (or @t29 @t27)) % 0.38/0.57 (define @t31 () (or @t24 @t27)) % 0.38/0.57 (define @t32 () (lambda @t20 @t31)) % 0.38/0.57 (define @t33 () (= tptp.ior @t32)) % 0.38/0.57 (define @t34 () (_ @t10 @t17)) % 0.38/0.57 (define @t35 () (@list @t10 @t17)) % 0.38/0.57 (define @t36 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t37 () (_ (_ tptp.irel @t36) @t11)) % 0.38/0.57 (define @t38 () (not @t37)) % 0.38/0.57 (define @t39 () (or @t38 @t21)) % 0.38/0.57 (define @t40 () (forall @t23 @t39)) % 0.38/0.57 (define @t41 () (@list @t10 @t36)) % 0.38/0.57 (define @t42 () (lambda @t41 @t40)) % 0.38/0.57 (define @t43 () (= tptp.mbox_s4 @t42)) % 0.38/0.57 (define @t44 () (@var "V" (-> $$unsorted Bool))) % 0.38/0.57 (define @t45 () (@var "U" (-> $$unsorted Bool))) % 0.38/0.57 (define @t46 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t47 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.57 (define @t48 () (_ @t47 @t46)) % 0.38/0.57 (define @t49 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.57 (define @t50 () (_ @t49 @t46)) % 0.38/0.57 (define @t51 () (@list @t49 @t47 @t46)) % 0.38/0.57 (define @t52 () (lambda @t51 (or @t50 @t48))) % 0.38/0.57 (define @t53 () (@var "DU2" tptp.d_unsorted)) % 0.38/0.57 (define @t54 () (@var "DU1" tptp.d_unsorted)) % 0.38/0.57 (define @t55 () (@var "DU" tptp.d_unsorted)) % 0.38/0.57 (define @t56 () (@list @t55)) % 0.38/0.57 (define @t57 () (@list @t46)) % 0.38/0.57 (define @t58 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.57 (define @t59 () (@list @t10 @t14 @t58)) % 0.38/0.57 (define @t60 () (lambda @t59 (_ (_ (_ tptp.mor (_ tptp.mbox_s4 @t10)) (_ tptp.mbox_s4 @t14)) @t58))) % 0.38/0.57 (define @t61 () (= tptp.ior @t60)) % 0.38/0.57 (define @t62 () (not @t61)) % 0.38/0.57 (define @t63 () (_ @t14 @t11)) % 0.38/0.57 (define @t64 () (tptp.irel @t17 @t11)) % 0.38/0.57 (define @t65 () (not @t64)) % 0.38/0.57 (define @t66 () (_ @t10 @t11)) % 0.38/0.57 (define @t67 () (lambda @t20 (or (forall @t23 (or @t65 @t66)) (forall @t23 (or @t65 @t63))))) % 0.38/0.57 (define @t68 () (@purify @t67)) % 0.38/0.57 (define @t69 () (not (tptp.irel @t58 @t11))) % 0.38/0.57 (define @t70 () (or (forall @t23 (or @t69 @t66)) (forall @t23 (or @t69 @t63)))) % 0.38/0.57 (define @t71 () (lambda @t59 @t70)) % 0.38/0.57 (define @t72 () (@purify @t71)) % 0.38/0.57 (define @t73 () (= @t67 @t71)) % 0.38/0.57 (define @t74 () (not (tptp.irel @t46 @t11))) % 0.38/0.57 (define @t75 () (forall @t23 (or @t74 @t63))) % 0.38/0.57 (define @t76 () (forall @t23 (or @t74 @t66))) % 0.38/0.57 (define @t77 () (tptp.irel @t36 @t11)) % 0.38/0.57 (define @t78 () (not @t77)) % 0.38/0.57 (define @t79 () (@list @t36)) % 0.38/0.57 (define @t80 () (lambda @t79 (forall @t23 (or @t78 @t63)))) % 0.38/0.57 (define @t81 () (_ @t80 @t46)) % 0.38/0.57 (define @t82 () (or @t76 @t81)) % 0.38/0.57 (define @t83 () (lambda @t57 @t82)) % 0.38/0.57 (define @t84 () (@list @t47 @t46)) % 0.38/0.57 (define @t85 () (forall @t23 (or @t78 @t66))) % 0.38/0.57 (define @t86 () (lambda @t41 @t85)) % 0.38/0.57 (define @t87 () (_ @t86 @t14)) % 0.38/0.57 (define @t88 () (lambda @t79 @t85)) % 0.38/0.57 (define @t89 () (_ @t88 @t46)) % 0.38/0.57 (define @t90 () (or @t89 @t48)) % 0.38/0.57 (define @t91 () (lambda @t84 @t90)) % 0.38/0.57 (define @t92 () (_ @t86 @t10)) % 0.38/0.57 (define @t93 () (lambda @t59 (_ (_ (_ @t52 @t92) @t87) @t58))) % 0.38/0.57 (define @t94 () (= @t67 @t93)) % 0.38/0.57 (define @t95 () (= @t72 @t68)) % 0.38/0.57 (define @t96 () (@const 0 (-> $$unsorted Bool))) % 0.38/0.57 (define @t97 () (@const 1 $$unsorted)) % 0.38/0.57 (define @t98 () (not (tptp.irel @t97 @t11))) % 0.38/0.57 (define @t99 () (@const 2 (-> $$unsorted Bool))) % 0.38/0.57 (define @t100 () (or (forall @t23 (or @t98 (_ @t99 @t11))) (forall @t23 (or @t98 (_ @t96 @t11))))) % 0.38/0.57 (define @t101 () (= (_ @t67 @t99 @t96 @t97) @t100)) % 0.38/0.57 (define @t102 () (_ @t68 @t99 @t96 @t97)) % 0.38/0.57 (define @t103 () (_ @t71 @t99 @t96 @t97)) % 0.38/0.57 (define @t104 () (_ @t72 @t99 @t96 @t97)) % 0.38/0.57 (define @t105 () (= @t104 @t102)) % 0.38/0.57 (define @t106 () (not @t105)) % 0.38/0.57 (define @t107 () (or @t95 @t106)) % 0.38/0.57 (assume @p1 (and (forall @t57 (exists @t56 (= @t46 (_ tptp.d2unsorted @t55)))) (forall @t56 (= @t55 tptp.d_unsorted_0)) (forall (@list @t54 @t53) (=> (= (_ tptp.d2unsorted @t54) (_ tptp.d2unsorted @t53)) (= @t54 @t53))) (= tptp.mnot (lambda (@list @t49 @t46) (not @t50))) (= tptp.mor @t52) (= tptp.mand (lambda @t51 (and @t50 @t48))) (= tptp.mimplies (lambda (@list @t45 @t44 @t17) (or (not (_ @t45 @t17)) (_ @t44 @t17)))) @t43 (= tptp.iatom (lambda @t35 @t34)) (= tptp.inot (lambda @t35 @t29)) (= tptp.iand (lambda @t20 (and @t34 (_ @t14 @t17)))) @t33 (= tptp.iimplies (lambda @t20 @t30)) (= tptp.iimplied (lambda @t20 @t28)) (= tptp.iequiv (lambda @t20 (and @t30 @t28))) (= tptp.ixor (lambda @t20 (not (forall (@list @t11 @t15 @t9) (or @t19 (and (or (not (forall (@list @t16) (or (not (_ @t12 @t16)) (_ @t10 @t16)))) (not (_ @t12 @t15)) (_ @t14 @t15)) (or (not (forall (@list @t13) (or (not (_ @t12 @t13)) (_ @t14 @t13)))) (not (_ @t12 @t9)) (_ @t10 @t9)))))))) (= tptp.ivalid (lambda @t7 @t8)) (= tptp.isatisfiable (lambda @t7 (not @t6))) (= tptp.icountersatisfiable (lambda @t7 (not @t8))) (= tptp.iinvalid (lambda @t7 @t6)) (_ (_ tptp.irel @t1) @t1) (_ tptp.itrue @t1) (not (_ tptp.ifalse @t1)))) % 0.38/0.57 (assume @p2 @t62) % 0.38/0.57 (assume @p3 true) % 0.38/0.57 (step @p4 :rule eq-symm :args (@t68 @t72)) % 0.38/0.57 (step @p5 :rule eq-refl :args (@t71)) % 0.38/0.57 (step @p6 :rule skolem_intro :args (@t72)) % 0.38/0.57 (step @p7 :rule refl :args (@t71)) % 0.38/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t71 @t72))) % 0.38/0.57 (step @p9 :rule trans :premises (@p8 @p5)) % 0.38/0.57 (step @p10 :rule true_elim :premises (@p9)) % 0.38/0.57 (step @p11 :rule eq-refl :args (@t67)) % 0.38/0.57 (step @p12 :rule skolem_intro :args (@t68)) % 0.38/0.57 (step @p13 :rule refl :args (@t67)) % 0.38/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t67 @t68))) % 0.38/0.57 (step @p15 :rule trans :premises (@p14 @p11)) % 0.38/0.57 (step @p16 :rule true_elim :premises (@p15)) % 0.38/0.57 (step @p17 :rule cong :premises (@p16 @p10) :args (@t73)) % 0.38/0.57 (step @p18 :rule trans :premises (@p17 @p4)) % 0.38/0.57 (step @p19 :rule cong :premises (@p18) :args ((not @t73))) % 0.38/0.57 (step @p20 :rule beta-reduce :args ((= (_ (lambda @t57 (or @t76 @t75)) @t58) @t70))) % 0.38/0.57 (step @p21 :rule refl :args (@t58)) % 0.38/0.57 (step @p22 :rule beta-reduce :args ((= @t81 @t75))) % 0.38/0.57 (step @p23 :rule refl :args (@t76)) % 0.38/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t82)) % 0.38/0.57 (step @p25 :rule cong :premises (@p24) :args (@t83)) % 0.38/0.57 (step @p26 :rule beta-reduce :args ((= (_ (lambda @t84 (or @t76 @t48)) @t80) @t83))) % 0.38/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.57 (step @p28 :rule beta-reduce :args ((= @t87 @t80))) % 0.38/0.57 (step @p29 :rule refl :args (@t48)) % 0.38/0.57 (step @p30 :rule beta-reduce :args ((= @t89 @t76))) % 0.38/0.57 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t90)) % 0.38/0.57 (step @p32 :rule cong :premises (@p31) :args (@t91)) % 0.38/0.57 (step @p33 :rule beta-reduce :args ((= (_ @t52 @t88) @t91))) % 0.38/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.57 (step @p35 :rule beta-reduce :args ((= @t92 @t88))) % 0.38/0.57 (step @p36 :rule refl :args (@t52)) % 0.38/0.57 (step @p37 :rule ho_cong :premises (@p36 @p35)) % 0.38/0.57 (step @p38 :rule trans :premises (@p37 @p34)) % 0.38/0.57 (step @p39 :rule ho_cong :premises (@p38 @p28)) % 0.38/0.57 (step @p40 :rule trans :premises (@p39 @p27)) % 0.38/0.57 (step @p41 :rule ho_cong :premises (@p40 @p21)) % 0.38/0.57 (step @p42 :rule trans :premises (@p41 @p20)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42) :args (@t93)) % 0.38/0.57 (step @p44 :rule cong :premises (@p13 @p43) :args (@t94)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44) :args ((not @t94))) % 0.38/0.57 (step @p46 :rule refl :args (@t14)) % 0.38/0.57 (step @p47 :rule refl :args (@t66)) % 0.38/0.57 (step @p48 :rule refl :args (@t21)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t21 @t66))) % 0.38/0.57 (step @p50 :rule symm :premises (@p49)) % 0.38/0.57 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.38/0.57 (step @p52 :rule refl :args (@t77)) % 0.38/0.57 (step @p53 :rule refl :args (@t37)) % 0.38/0.57 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t37 @t77))) % 0.38/0.57 (step @p55 :rule symm :premises (@p54)) % 0.38/0.57 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.38/0.57 (step @p57 :rule cong :premises (@p56) :args (@t38)) % 0.38/0.57 (step @p58 :rule nary_cong :premises (@p57 @p51) :args (@t39)) % 0.38/0.57 (step @p59 :rule cong :premises (@p58) :args (@t40)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args (@t42)) % 0.38/0.57 (step @p61 :rule refl :args (tptp.mbox_s4)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61 @p60) :args (@t43)) % 0.38/0.57 (step @p63 :rule and_elim :premises (@p1) :args (7)) % 0.38/0.57 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.38/0.57 (step @p65 :rule ho_cong :premises (@p64 @p46)) % 0.38/0.57 (step @p66 :rule refl :args (@t10)) % 0.38/0.57 (step @p67 :rule ho_cong :premises (@p64 @p66)) % 0.38/0.57 (step @p68 :rule and_elim :premises (@p1) :args (4)) % 0.38/0.57 (step @p69 :rule ho_cong :premises (@p68 @p67)) % 0.38/0.57 (step @p70 :rule ho_cong :premises (@p69 @p65)) % 0.38/0.57 (step @p71 :rule ho_cong :premises (@p70 @p21)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71) :args (@t60)) % 0.38/0.57 (step @p73 :rule refl :args (@t63)) % 0.38/0.57 (step @p74 :rule refl :args (@t25)) % 0.38/0.57 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t25 @t63))) % 0.38/0.57 (step @p76 :rule symm :premises (@p75)) % 0.38/0.57 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.38/0.57 (step @p78 :rule refl :args (@t64)) % 0.38/0.57 (step @p79 :rule refl :args (@t18)) % 0.38/0.57 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t18 @t64))) % 0.38/0.57 (step @p81 :rule symm :premises (@p80)) % 0.38/0.57 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.38/0.57 (step @p83 :rule cong :premises (@p82) :args (@t19)) % 0.38/0.57 (step @p84 :rule nary_cong :premises (@p83 @p77) :args (@t26)) % 0.38/0.57 (step @p85 :rule cong :premises (@p84) :args (@t27)) % 0.38/0.57 (step @p86 :rule nary_cong :premises (@p83 @p51) :args (@t22)) % 0.38/0.57 (step @p87 :rule cong :premises (@p86) :args (@t24)) % 0.38/0.57 (step @p88 :rule nary_cong :premises (@p87 @p85) :args (@t31)) % 0.38/0.57 (step @p89 :rule cong :premises (@p88) :args (@t32)) % 0.38/0.57 (step @p90 :rule refl :args (tptp.ior)) % 0.38/0.57 (step @p91 :rule cong :premises (@p90 @p89) :args (@t33)) % 0.38/0.57 (step @p92 :rule and_elim :premises (@p1) :args (11)) % 0.38/0.57 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.38/0.57 (step @p94 :rule cong :premises (@p93 @p72) :args (@t61)) % 0.38/0.57 (step @p95 :rule cong :premises (@p94) :args (@t62)) % 0.38/0.57 (step @p96 :rule trans :premises (@p95 @p45)) % 0.38/0.57 (step @p97 :rule trans :premises (@p96 @p19)) % 0.38/0.57 (step @p98 :rule eq_resolve :premises (@p2 @p97)) % 0.38/0.57 (step @p99 :rule aci_norm :args ((= (or @t95 false) @t95))) % 0.38/0.57 (step @p100 :rule evaluate :args ((not true))) % 0.38/0.58 (step @p101 :rule eq-refl :args (@t100)) % 0.38/0.58 (step @p102 :rule refl :args (@t100)) % 0.38/0.58 (step @p103 :rule beta-reduce :args (@t101)) % 0.38/0.58 (step @p104 :rule cong :premises (@p103 @p102) :args (@t101)) % 0.38/0.58 (step @p105 :rule trans :premises (@p104 @p101)) % 0.38/0.58 (step @p106 :rule refl :args (@t97)) % 0.38/0.58 (step @p107 :rule refl :args (@t96)) % 0.38/0.58 (step @p108 :rule refl :args (@t99)) % 0.38/0.58 (step @p109 :rule ho_cong :premises (@p12 @p108 @p107 @p106)) % 0.38/0.58 (step @p110 :rule cong :premises (@p109 @p102) :args ((= @t102 @t100))) % 0.38/0.58 (step @p111 :rule trans :premises (@p110 @p105)) % 0.38/0.58 (step @p112 :rule true_elim :premises (@p111)) % 0.38/0.58 (step @p113 :rule beta-reduce :args ((= @t103 @t100))) % 0.38/0.58 (step @p114 :rule cong :premises (@p102 @p113) :args ((= @t100 @t103))) % 0.38/0.58 (step @p115 :rule trans :premises (@p114 @p101)) % 0.38/0.58 (step @p116 :rule eq-symm :args (@t103 @t100)) % 0.38/0.58 (step @p117 :rule trans :premises (@p116 @p115)) % 0.38/0.58 (step @p118 :rule ho_cong :premises (@p6 @p108 @p107 @p106)) % 0.38/0.58 (step @p119 :rule cong :premises (@p118 @p102) :args ((= @t104 @t100))) % 0.38/0.58 (step @p120 :rule trans :premises (@p119 @p117)) % 0.38/0.58 (step @p121 :rule true_elim :premises (@p120)) % 0.38/0.58 (step @p122 :rule cong :premises (@p121 @p112) :args (@t105)) % 0.38/0.58 (step @p123 :rule trans :premises (@p122 @p101)) % 0.38/0.58 (step @p124 :rule cong :premises (@p123) :args (@t106)) % 0.38/0.58 (step @p125 :rule trans :premises (@p124 @p100)) % 0.38/0.58 (step @p126 :rule refl :args (@t95)) % 0.38/0.58 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t107)) % 0.38/0.58 (step @p128 :rule trans :premises (@p127 @p99)) % 0.38/0.58 ; WARNING: add trust step for TRUST % 0.38/0.58 ; trust TRUST THEORY_LEMMA % 0.38/0.58 (step @p129 :rule trust :premises () :args (@t107)) % 0.38/0.58 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.38/0.58 (step @p131 false :rule chain_m_resolution :premises (@p130 @p98) :args (false (@list true) (@list @t95))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------