%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 23:01:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----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" $$unsorted)) % 0.38/0.57 (define @t18 () (_ (_ tptp.irel @t17) @t11)) % 0.38/0.57 (define @t19 () (not @t18)) % 0.38/0.57 (define @t20 () (@list @t10 @t14 @t17)) % 0.38/0.57 (define @t21 () (_ @t10 @t11)) % 0.38/0.57 (define @t22 () (or @t19 @t21)) % 0.38/0.57 (define @t23 () (@list @t11)) % 0.38/0.57 (define @t24 () (forall @t23 @t22)) % 0.38/0.57 (define @t25 () (_ @t14 @t11)) % 0.38/0.57 (define @t26 () (or @t19 @t25)) % 0.38/0.57 (define @t27 () (forall @t23 @t26)) % 0.38/0.57 (define @t28 () (or (not @t27) @t24)) % 0.38/0.57 (define @t29 () (not @t24)) % 0.38/0.57 (define @t30 () (or @t29 @t27)) % 0.38/0.57 (define @t31 () (lambda @t20 @t30)) % 0.38/0.57 (define @t32 () (= tptp.iimplies @t31)) % 0.38/0.57 (define @t33 () (_ @t10 @t17)) % 0.38/0.57 (define @t34 () (@list @t10 @t17)) % 0.38/0.57 (define @t35 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t36 () (_ (_ tptp.irel @t35) @t11)) % 0.38/0.57 (define @t37 () (not @t36)) % 0.38/0.57 (define @t38 () (or @t37 @t21)) % 0.38/0.57 (define @t39 () (forall @t23 @t38)) % 0.38/0.57 (define @t40 () (@list @t10 @t35)) % 0.38/0.57 (define @t41 () (lambda @t40 @t39)) % 0.38/0.57 (define @t42 () (= tptp.mbox_s4 @t41)) % 0.38/0.57 (define @t43 () (@var "V" (-> $$unsorted Bool))) % 0.38/0.57 (define @t44 () (_ @t43 @t17)) % 0.38/0.57 (define @t45 () (@var "U" (-> $$unsorted Bool))) % 0.38/0.57 (define @t46 () (lambda (@list @t45 @t43 @t17) (or (not (_ @t45 @t17)) @t44))) % 0.38/0.57 (define @t47 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t48 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.57 (define @t49 () (_ @t48 @t47)) % 0.38/0.57 (define @t50 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.57 (define @t51 () (_ @t50 @t47)) % 0.38/0.57 (define @t52 () (@list @t50 @t48 @t47)) % 0.38/0.57 (define @t53 () (@var "DU2" tptp.d_unsorted)) % 0.38/0.57 (define @t54 () (@var "DU1" tptp.d_unsorted)) % 0.38/0.57 (define @t55 () (@var "DU" tptp.d_unsorted)) % 0.38/0.57 (define @t56 () (@list @t55)) % 0.38/0.57 (define @t57 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.57 (define @t58 () (@list @t10 @t14 @t57)) % 0.38/0.57 (define @t59 () (lambda @t58 (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 @t10)) (_ tptp.mbox_s4 @t14)) @t57))) % 0.38/0.57 (define @t60 () (= tptp.iimplies @t59)) % 0.38/0.57 (define @t61 () (not @t60)) % 0.38/0.57 (define @t62 () (_ @t14 @t11)) % 0.38/0.57 (define @t63 () (tptp.irel @t17 @t11)) % 0.38/0.57 (define @t64 () (not @t63)) % 0.38/0.57 (define @t65 () (forall @t23 (or @t64 @t62))) % 0.38/0.57 (define @t66 () (_ @t10 @t11)) % 0.38/0.57 (define @t67 () (forall @t23 (or @t64 @t66))) % 0.38/0.57 (define @t68 () (not @t67)) % 0.38/0.57 (define @t69 () (or @t68 @t65)) % 0.38/0.57 (define @t70 () (lambda @t20 @t69)) % 0.38/0.57 (define @t71 () (@purify @t70)) % 0.38/0.57 (define @t72 () (not (tptp.irel @t57 @t11))) % 0.38/0.57 (define @t73 () (or (not (forall @t23 (or @t72 @t66))) (forall @t23 (or @t72 @t62)))) % 0.38/0.57 (define @t74 () (lambda @t58 @t73)) % 0.38/0.57 (define @t75 () (@purify @t74)) % 0.38/0.57 (define @t76 () (= @t70 @t74)) % 0.38/0.57 (define @t77 () (@list @t17)) % 0.38/0.57 (define @t78 () (tptp.irel @t35 @t11)) % 0.38/0.57 (define @t79 () (not @t78)) % 0.38/0.57 (define @t80 () (@list @t35)) % 0.38/0.57 (define @t81 () (lambda @t80 (forall @t23 (or @t79 @t62)))) % 0.38/0.57 (define @t82 () (_ @t81 @t17)) % 0.38/0.57 (define @t83 () (or @t68 @t82)) % 0.38/0.57 (define @t84 () (lambda @t77 @t83)) % 0.38/0.57 (define @t85 () (@list @t43 @t17)) % 0.38/0.57 (define @t86 () (forall @t23 (or @t79 @t66))) % 0.38/0.57 (define @t87 () (lambda @t40 @t86)) % 0.38/0.57 (define @t88 () (_ @t87 @t14)) % 0.38/0.57 (define @t89 () (lambda @t80 @t86)) % 0.38/0.57 (define @t90 () (_ @t89 @t17)) % 0.38/0.57 (define @t91 () (not @t90)) % 0.38/0.57 (define @t92 () (or @t91 @t44)) % 0.38/0.57 (define @t93 () (lambda @t85 @t92)) % 0.38/0.57 (define @t94 () (_ @t87 @t10)) % 0.38/0.57 (define @t95 () (lambda @t58 (_ (_ (_ @t46 @t94) @t88) @t57))) % 0.38/0.57 (define @t96 () (= @t70 @t95)) % 0.38/0.57 (define @t97 () (= @t75 @t71)) % 0.38/0.57 (define @t98 () (@const 0 (-> $$unsorted Bool))) % 0.38/0.57 (define @t99 () (@const 1 $$unsorted)) % 0.38/0.57 (define @t100 () (not (tptp.irel @t99 @t11))) % 0.38/0.57 (define @t101 () (@const 2 (-> $$unsorted Bool))) % 0.38/0.57 (define @t102 () (or (not (forall @t23 (or @t100 (_ @t101 @t11)))) (forall @t23 (or @t100 (_ @t98 @t11))))) % 0.38/0.57 (define @t103 () (= (_ @t70 @t101 @t98 @t99) @t102)) % 0.38/0.57 (define @t104 () (_ @t71 @t101 @t98 @t99)) % 0.38/0.57 (define @t105 () (_ @t74 @t101 @t98 @t99)) % 0.38/0.57 (define @t106 () (_ @t75 @t101 @t98 @t99)) % 0.38/0.57 (define @t107 () (= @t106 @t104)) % 0.38/0.57 (define @t108 () (not @t107)) % 0.38/0.57 (define @t109 () (or @t97 @t108)) % 0.38/0.57 (assume @p1 (and (forall (@list @t47) (exists @t56 (= @t47 (_ 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 @t50 @t47) (not @t51))) (= tptp.mor (lambda @t52 (or @t51 @t49))) (= tptp.mand (lambda @t52 (and @t51 @t49))) (= tptp.mimplies @t46) @t42 (= tptp.iatom (lambda @t34 @t33)) (= tptp.inot (lambda @t34 @t29)) (= tptp.iand (lambda @t20 (and @t33 (_ @t14 @t17)))) (= tptp.ior (lambda @t20 (or @t24 @t27))) @t32 (= 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 @t61) % 0.38/0.57 (assume @p3 true) % 0.38/0.57 (step @p4 :rule eq-symm :args (@t71 @t75)) % 0.38/0.57 (step @p5 :rule eq-refl :args (@t74)) % 0.38/0.57 (step @p6 :rule skolem_intro :args (@t75)) % 0.38/0.57 (step @p7 :rule refl :args (@t74)) % 0.38/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t74 @t75))) % 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 (@t70)) % 0.38/0.57 (step @p12 :rule skolem_intro :args (@t71)) % 0.38/0.57 (step @p13 :rule refl :args (@t70)) % 0.38/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t70 @t71))) % 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 (@t76)) % 0.38/0.57 (step @p18 :rule trans :premises (@p17 @p4)) % 0.38/0.57 (step @p19 :rule cong :premises (@p18) :args ((not @t76))) % 0.38/0.57 (step @p20 :rule beta-reduce :args ((= (_ (lambda @t77 @t69) @t57) @t73))) % 0.38/0.57 (step @p21 :rule refl :args (@t57)) % 0.38/0.57 (step @p22 :rule beta-reduce :args ((= @t82 @t65))) % 0.38/0.57 (step @p23 :rule refl :args (@t68)) % 0.38/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t83)) % 0.38/0.57 (step @p25 :rule cong :premises (@p24) :args (@t84)) % 0.38/0.57 (step @p26 :rule beta-reduce :args ((= (_ (lambda @t85 (or @t68 @t44)) @t81) @t84))) % 0.38/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.57 (step @p28 :rule beta-reduce :args ((= @t88 @t81))) % 0.38/0.57 (step @p29 :rule refl :args (@t44)) % 0.38/0.57 (step @p30 :rule beta-reduce :args ((= @t90 @t67))) % 0.38/0.57 (step @p31 :rule cong :premises (@p30) :args (@t91)) % 0.38/0.57 (step @p32 :rule nary_cong :premises (@p31 @p29) :args (@t92)) % 0.38/0.57 (step @p33 :rule cong :premises (@p32) :args (@t93)) % 0.38/0.57 (step @p34 :rule beta-reduce :args ((= (_ @t46 @t89) @t93))) % 0.38/0.57 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.57 (step @p36 :rule beta-reduce :args ((= @t94 @t89))) % 0.38/0.57 (step @p37 :rule refl :args (@t46)) % 0.38/0.57 (step @p38 :rule ho_cong :premises (@p37 @p36)) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p35)) % 0.38/0.57 (step @p40 :rule ho_cong :premises (@p39 @p28)) % 0.38/0.57 (step @p41 :rule trans :premises (@p40 @p27)) % 0.38/0.57 (step @p42 :rule ho_cong :premises (@p41 @p21)) % 0.38/0.57 (step @p43 :rule trans :premises (@p42 @p20)) % 0.38/0.57 (step @p44 :rule cong :premises (@p43) :args (@t95)) % 0.38/0.57 (step @p45 :rule cong :premises (@p13 @p44) :args (@t96)) % 0.38/0.57 (step @p46 :rule cong :premises (@p45) :args ((not @t96))) % 0.38/0.57 (step @p47 :rule refl :args (@t14)) % 0.38/0.57 (step @p48 :rule refl :args (@t66)) % 0.38/0.57 (step @p49 :rule refl :args (@t21)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t21 @t66))) % 0.38/0.57 (step @p51 :rule symm :premises (@p50)) % 0.38/0.57 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.38/0.57 (step @p53 :rule refl :args (@t78)) % 0.38/0.57 (step @p54 :rule refl :args (@t36)) % 0.38/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t36 @t78))) % 0.38/0.57 (step @p56 :rule symm :premises (@p55)) % 0.38/0.57 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.38/0.57 (step @p58 :rule cong :premises (@p57) :args (@t37)) % 0.38/0.57 (step @p59 :rule nary_cong :premises (@p58 @p52) :args (@t38)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args (@t39)) % 0.38/0.57 (step @p61 :rule cong :premises (@p60) :args (@t41)) % 0.38/0.57 (step @p62 :rule refl :args (tptp.mbox_s4)) % 0.38/0.57 (step @p63 :rule cong :premises (@p62 @p61) :args (@t42)) % 0.38/0.57 (step @p64 :rule and_elim :premises (@p1) :args (7)) % 0.38/0.57 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.38/0.57 (step @p66 :rule ho_cong :premises (@p65 @p47)) % 0.38/0.57 (step @p67 :rule refl :args (@t10)) % 0.38/0.57 (step @p68 :rule ho_cong :premises (@p65 @p67)) % 0.38/0.57 (step @p69 :rule and_elim :premises (@p1) :args (6)) % 0.38/0.57 (step @p70 :rule ho_cong :premises (@p69 @p68)) % 0.38/0.57 (step @p71 :rule ho_cong :premises (@p70 @p66)) % 0.38/0.57 (step @p72 :rule ho_cong :premises (@p71 @p21)) % 0.38/0.57 (step @p73 :rule cong :premises (@p72) :args (@t59)) % 0.38/0.57 (step @p74 :rule refl :args (@t62)) % 0.38/0.57 (step @p75 :rule refl :args (@t25)) % 0.38/0.57 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t25 @t62))) % 0.38/0.57 (step @p77 :rule symm :premises (@p76)) % 0.38/0.57 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 0.38/0.57 (step @p79 :rule refl :args (@t63)) % 0.38/0.57 (step @p80 :rule refl :args (@t18)) % 0.38/0.57 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t18 @t63))) % 0.38/0.57 (step @p82 :rule symm :premises (@p81)) % 0.38/0.57 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.38/0.57 (step @p84 :rule cong :premises (@p83) :args (@t19)) % 0.38/0.57 (step @p85 :rule nary_cong :premises (@p84 @p78) :args (@t26)) % 0.38/0.57 (step @p86 :rule cong :premises (@p85) :args (@t27)) % 0.38/0.57 (step @p87 :rule nary_cong :premises (@p84 @p52) :args (@t22)) % 0.38/0.57 (step @p88 :rule cong :premises (@p87) :args (@t24)) % 0.38/0.57 (step @p89 :rule cong :premises (@p88) :args (@t29)) % 0.38/0.57 (step @p90 :rule nary_cong :premises (@p89 @p86) :args (@t30)) % 0.38/0.57 (step @p91 :rule cong :premises (@p90) :args (@t31)) % 0.38/0.57 (step @p92 :rule refl :args (tptp.iimplies)) % 0.38/0.57 (step @p93 :rule cong :premises (@p92 @p91) :args (@t32)) % 0.38/0.57 (step @p94 :rule and_elim :premises (@p1) :args (12)) % 0.38/0.57 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.38/0.57 (step @p96 :rule cong :premises (@p95 @p73) :args (@t60)) % 0.38/0.57 (step @p97 :rule cong :premises (@p96) :args (@t61)) % 0.38/0.57 (step @p98 :rule trans :premises (@p97 @p46)) % 0.38/0.57 (step @p99 :rule trans :premises (@p98 @p19)) % 0.38/0.57 (step @p100 :rule eq_resolve :premises (@p2 @p99)) % 0.38/0.57 (step @p101 :rule aci_norm :args ((= (or @t97 false) @t97))) % 0.38/0.57 (step @p102 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p103 :rule eq-refl :args (@t102)) % 0.38/0.57 (step @p104 :rule refl :args (@t102)) % 0.38/0.57 (step @p105 :rule beta-reduce :args (@t103)) % 0.38/0.57 (step @p106 :rule cong :premises (@p105 @p104) :args (@t103)) % 0.38/0.57 (step @p107 :rule trans :premises (@p106 @p103)) % 0.38/0.57 (step @p108 :rule refl :args (@t99)) % 0.38/0.57 (step @p109 :rule refl :args (@t98)) % 0.38/0.57 (step @p110 :rule refl :args (@t101)) % 0.38/0.57 (step @p111 :rule ho_cong :premises (@p12 @p110 @p109 @p108)) % 0.38/0.57 (step @p112 :rule cong :premises (@p111 @p104) :args ((= @t104 @t102))) % 0.38/0.57 (step @p113 :rule trans :premises (@p112 @p107)) % 0.38/0.57 (step @p114 :rule true_elim :premises (@p113)) % 0.38/0.57 (step @p115 :rule beta-reduce :args ((= @t105 @t102))) % 0.38/0.57 (step @p116 :rule cong :premises (@p104 @p115) :args ((= @t102 @t105))) % 0.38/0.57 (step @p117 :rule trans :premises (@p116 @p103)) % 0.38/0.57 (step @p118 :rule eq-symm :args (@t105 @t102)) % 0.38/0.57 (step @p119 :rule trans :premises (@p118 @p117)) % 0.38/0.57 (step @p120 :rule ho_cong :premises (@p6 @p110 @p109 @p108)) % 0.38/0.57 (step @p121 :rule cong :premises (@p120 @p104) :args ((= @t106 @t102))) % 0.38/0.57 (step @p122 :rule trans :premises (@p121 @p119)) % 0.38/0.57 (step @p123 :rule true_elim :premises (@p122)) % 0.38/0.57 (step @p124 :rule cong :premises (@p123 @p114) :args (@t107)) % 0.38/0.57 (step @p125 :rule trans :premises (@p124 @p103)) % 0.38/0.57 (step @p126 :rule cong :premises (@p125) :args (@t108)) % 0.38/0.57 (step @p127 :rule trans :premises (@p126 @p102)) % 0.38/0.57 (step @p128 :rule refl :args (@t97)) % 0.38/0.57 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t109)) % 0.38/0.57 (step @p130 :rule trans :premises (@p129 @p101)) % 0.38/0.57 ; WARNING: add trust step for TRUST % 0.38/0.57 ; trust TRUST THEORY_LEMMA % 0.38/0.57 (step @p131 :rule trust :premises () :args (@t109)) % 0.38/0.57 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 0.38/0.57 (step @p133 false :rule chain_m_resolution :premises (@p132 @p100) :args (false (@list true) (@list @t97))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------