%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU887^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:53:28 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU887^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n021.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 : Tue Jun 2 17:58:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort tptp.c 0) % 0.38/0.58 (declare-sort tptp.b 0) % 0.38/0.58 (declare-sort tptp.a 0) % 0.38/0.58 (define @t1 () (@var "Xt" tptp.b)) % 0.38/0.58 (define @t2 () (@var "F" (-> tptp.b tptp.a))) % 0.38/0.58 (define @t3 () (_ @t2 @t1)) % 0.38/0.58 (define @t4 () (@var "Xx" tptp.a)) % 0.38/0.58 (define @t5 () (= @t4 @t3)) % 0.38/0.58 (define @t6 () (@var "Xt0" tptp.c)) % 0.38/0.58 (define @t7 () (@var "G" (-> tptp.c tptp.b))) % 0.38/0.58 (define @t8 () (_ @t7 @t6)) % 0.38/0.58 (define @t9 () (= @t1 @t8)) % 0.38/0.58 (define @t10 () (@var "S" (-> tptp.c Bool))) % 0.38/0.58 (define @t11 () (_ @t10 @t6)) % 0.38/0.58 (define @t12 () (and @t11 @t9)) % 0.38/0.58 (define @t13 () (@list @t6)) % 0.38/0.58 (define @t14 () (exists @t13 @t12)) % 0.38/0.58 (define @t15 () (and @t14 @t5)) % 0.38/0.58 (define @t16 () (@list @t1)) % 0.38/0.58 (define @t17 () (exists @t16 @t15)) % 0.38/0.58 (define @t18 () (@var "Xt" tptp.c)) % 0.38/0.58 (define @t19 () (_ @t7 @t18)) % 0.38/0.58 (define @t20 () (_ @t2 @t19)) % 0.38/0.58 (define @t21 () (= @t4 @t20)) % 0.38/0.58 (define @t22 () (_ @t10 @t18)) % 0.38/0.58 (define @t23 () (and @t22 @t21)) % 0.38/0.58 (define @t24 () (@list @t18)) % 0.38/0.58 (define @t25 () (exists @t24 @t23)) % 0.38/0.58 (define @t26 () (=> @t25 @t17)) % 0.38/0.58 (define @t27 () (@list @t2 @t7 @t10 @t4)) % 0.38/0.58 (define @t28 () (forall @t27 @t26)) % 0.38/0.58 (define @t29 () (not @t28)) % 0.38/0.58 (define @t30 () (@var "BOUND_VARIABLE_7515" tptp.c)) % 0.38/0.58 (define @t31 () (not (_ @t10 @t30))) % 0.38/0.58 (define @t32 () (@var "BOUND_VARIABLE_7486" tptp.c)) % 0.38/0.58 (define @t33 () (not (_ @t10 @t32))) % 0.38/0.58 (define @t34 () (_ @t2 (_ @t7 @t30))) % 0.38/0.58 (define @t35 () (_ @t7 @t32)) % 0.38/0.58 (define @t36 () (_ @t2 @t35)) % 0.38/0.58 (define @t37 () (@list @t32)) % 0.38/0.58 (define @t38 () (not (forall @t37 (or (not (= @t36 @t34)) @t33)))) % 0.38/0.58 (define @t39 () (or @t38 @t31)) % 0.38/0.58 (define @t40 () (not (= @t34 @t34))) % 0.38/0.58 (define @t41 () (not (= @t34 @t36))) % 0.38/0.58 (define @t42 () (or @t41 @t33)) % 0.38/0.58 (define @t43 () (forall @t37 @t42)) % 0.38/0.58 (define @t44 () (not @t43)) % 0.38/0.58 (define @t45 () (or @t44 @t31 @t40)) % 0.38/0.58 (define @t46 () (@list @t2 @t7 @t10 @t30)) % 0.38/0.58 (define @t47 () (not (= @t4 @t34))) % 0.38/0.58 (define @t48 () (not (= @t4 @t36))) % 0.38/0.58 (define @t49 () (or @t48 @t33)) % 0.38/0.58 (define @t50 () (not (forall @t37 @t49))) % 0.38/0.58 (define @t51 () (or @t47 @t50 @t31 @t47)) % 0.38/0.58 (define @t52 () (@list @t4)) % 0.38/0.58 (define @t53 () (or @t50 @t31 @t47)) % 0.38/0.58 (define @t54 () (forall @t52 @t53)) % 0.38/0.58 (define @t55 () (forall @t46 @t54)) % 0.38/0.58 (define @t56 () (forall (@list @t2 @t7 @t10 @t30 @t4) @t53)) % 0.38/0.58 (define @t57 () (@list @t2 @t7 @t10 @t4 @t30)) % 0.38/0.58 (define @t58 () (or @t31 @t47)) % 0.38/0.58 (define @t59 () (or @t58 @t50)) % 0.38/0.58 (define @t60 () (forall @t57 @t59)) % 0.38/0.58 (define @t61 () (@list @t30)) % 0.38/0.58 (define @t62 () (forall @t61 @t59)) % 0.38/0.58 (define @t63 () (forall @t61 @t58)) % 0.38/0.58 (define @t64 () (or @t63 @t50)) % 0.38/0.58 (define @t65 () (_ @t7 @t18)) % 0.38/0.58 (define @t66 () (_ @t2 @t65)) % 0.38/0.58 (define @t67 () (_ @t10 @t18)) % 0.38/0.58 (define @t68 () (forall @t24 (or (not @t67) (not (= @t4 @t66))))) % 0.38/0.58 (define @t69 () (not @t68)) % 0.38/0.58 (define @t70 () (not (= @t35 @t35))) % 0.38/0.58 (define @t71 () (or @t48 @t33 @t70)) % 0.38/0.58 (define @t72 () (not (= @t1 @t35))) % 0.38/0.58 (define @t73 () (_ @t2 @t1)) % 0.38/0.58 (define @t74 () (not (= @t4 @t73))) % 0.38/0.58 (define @t75 () (or @t72 @t74 @t33 @t72)) % 0.38/0.58 (define @t76 () (or @t74 @t33 @t72)) % 0.38/0.58 (define @t77 () (forall @t16 @t76)) % 0.38/0.58 (define @t78 () (forall @t37 @t77)) % 0.38/0.58 (define @t79 () (forall (@list @t32 @t1) @t76)) % 0.38/0.58 (define @t80 () (@list @t1 @t32)) % 0.38/0.58 (define @t81 () (or @t33 @t72)) % 0.38/0.58 (define @t82 () (or @t81 @t74)) % 0.38/0.58 (define @t83 () (forall @t80 @t82)) % 0.38/0.58 (define @t84 () (forall @t37 @t82)) % 0.38/0.58 (define @t85 () (forall @t37 @t81)) % 0.38/0.58 (define @t86 () (or @t85 @t74)) % 0.38/0.58 (define @t87 () (_ @t7 @t6)) % 0.38/0.58 (define @t88 () (_ @t10 @t6)) % 0.38/0.58 (define @t89 () (forall @t13 (or (not @t88) (not (= @t1 @t87))))) % 0.38/0.58 (define @t90 () (not @t5)) % 0.38/0.58 (define @t91 () (or @t89 @t90)) % 0.38/0.58 (define @t92 () (not @t89)) % 0.38/0.58 (define @t93 () (and @t92 @t5)) % 0.38/0.58 (define @t94 () (forall @t16 (not @t93))) % 0.38/0.58 (define @t95 () (not @t94)) % 0.38/0.58 (define @t96 () (not @t9)) % 0.38/0.58 (define @t97 () (not @t11)) % 0.38/0.58 (define @t98 () (or @t97 @t96)) % 0.38/0.58 (define @t99 () (forall @t13 (not @t12))) % 0.38/0.58 (define @t100 () (not @t99)) % 0.38/0.58 (define @t101 () (not @t21)) % 0.38/0.58 (define @t102 () (not @t22)) % 0.38/0.58 (define @t103 () (or @t102 @t101)) % 0.38/0.58 (define @t104 () (forall @t24 (not @t23))) % 0.38/0.58 (define @t105 () (not @t104)) % 0.38/0.58 (define @t106 () (forall @t46 @t39)) % 0.38/0.58 (define @t107 () (@quantifiers_skolemize @t106 2)) % 0.38/0.58 (define @t108 () (@quantifiers_skolemize @t106 3)) % 0.38/0.58 (define @t109 () (@quantifiers_skolemize @t106 1)) % 0.38/0.58 (define @t110 () (@quantifiers_skolemize @t106 0)) % 0.38/0.58 (define @t111 () (_ @t110 (_ @t109 @t108))) % 0.38/0.58 (define @t112 () (forall @t37 (or (not (= (_ @t110 (_ @t109 @t32)) @t111)) (not (_ @t107 @t32))))) % 0.38/0.58 (define @t113 () (_ @t107 @t108)) % 0.38/0.58 (define @t114 () (not @t113)) % 0.38/0.58 (define @t115 () (not @t112)) % 0.38/0.58 (define @t116 () (or @t115 @t114)) % 0.38/0.58 (define @t117 () (@list true)) % 0.38/0.58 (define @t118 () (@list @t116)) % 0.38/0.58 (define @t119 () (not (= @t111 @t111))) % 0.38/0.58 (define @t120 () (or @t119 @t114)) % 0.38/0.58 (assume @p1 @t29) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule aci_norm :args ((= (or @t38 @t31 false) @t39))) % 0.38/0.58 (step @p4 :rule evaluate :args ((not true))) % 0.38/0.58 (step @p5 :rule eq-refl :args (@t34)) % 0.38/0.58 (step @p6 :rule cong :premises (@p5) :args (@t40)) % 0.38/0.58 (step @p7 :rule trans :premises (@p6 @p4)) % 0.38/0.58 (step @p8 :rule refl :args (@t31)) % 0.38/0.58 (step @p9 :rule refl :args (@t33)) % 0.38/0.58 (step @p10 :rule eq-symm :args (@t34 @t36)) % 0.38/0.58 (step @p11 :rule cong :premises (@p10) :args (@t41)) % 0.38/0.58 (step @p12 :rule nary_cong :premises (@p11 @p9) :args (@t42)) % 0.38/0.58 (step @p13 :rule cong :premises (@p12) :args (@t43)) % 0.38/0.58 (step @p14 :rule cong :premises (@p13) :args (@t44)) % 0.38/0.58 (step @p15 :rule nary_cong :premises (@p14 @p8 @p7) :args (@t45)) % 0.38/0.58 (step @p16 :rule trans :premises (@p15 @p3)) % 0.38/0.58 (step @p17 :rule cong :premises (@p16) :args ((forall @t46 @t45))) % 0.38/0.58 (step @p18 :rule quant-var-elim-eq :args ((= (forall @t52 @t51) @t45))) % 0.38/0.58 (step @p19 :rule aci_norm :args ((= @t53 @t51))) % 0.38/0.58 (step @p20 :rule cong :premises (@p19) :args (@t54)) % 0.38/0.58 (step @p21 :rule trans :premises (@p20 @p18)) % 0.38/0.58 (step @p22 :rule cong :premises (@p21) :args (@t55)) % 0.38/0.58 (step @p23 :rule quant-merge-prenex :args ((= @t55 @t56))) % 0.38/0.58 (step @p24 :rule symm :premises (@p23)) % 0.38/0.58 (step @p25 :rule quant_var_reordering :args ((= (forall @t57 @t53) @t56))) % 0.38/0.58 (step @p26 :rule trans :premises (@p25 @p24 @p22)) % 0.38/0.58 (step @p27 :rule trans :premises (@p26 @p17)) % 0.38/0.58 (step @p28 :rule aci_norm :args ((= @t59 @t53))) % 0.38/0.58 (step @p29 :rule cong :premises (@p28) :args (@t60)) % 0.38/0.58 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.58 (step @p31 :rule quant-merge-prenex :args ((= (forall @t27 @t62) @t60))) % 0.38/0.58 (step @p32 :rule refl :args (@t50)) % 0.38/0.58 (step @p33 :rule alpha_equiv :args (@t63 (@list @t30) (@list @t18))) % 0.38/0.58 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t64)) % 0.38/0.58 (step @p35 :rule quant-miniscope-or :args ((= @t62 @t64))) % 0.38/0.58 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.58 (step @p37 :rule symm :premises (@p36)) % 0.38/0.58 (step @p38 :rule cong :premises (@p37) :args ((forall @t27 (or @t68 @t50)))) % 0.38/0.58 (step @p39 :rule trans :premises (@p38 @p31)) % 0.38/0.58 (step @p40 :rule trans :premises (@p39 @p30)) % 0.38/0.58 (step @p41 :rule bool-double-not-elim :args (@t68)) % 0.38/0.58 (step @p42 :rule nary_cong :premises (@p41 @p32) :args ((or (not @t69) @t50))) % 0.38/0.58 (step @p43 :rule bool-impl-elim :args (@t69 @t50)) % 0.38/0.58 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.58 (step @p45 :rule cong :premises (@p44) :args ((forall @t27 (=> @t69 @t50)))) % 0.38/0.58 (step @p46 :rule trans :premises (@p45 @p40)) % 0.38/0.58 (step @p47 :rule aci_norm :args ((= (or @t48 @t33 false) @t49))) % 0.38/0.58 (step @p48 :rule eq-refl :args (@t35)) % 0.38/0.58 (step @p49 :rule cong :premises (@p48) :args (@t70)) % 0.38/0.58 (step @p50 :rule trans :premises (@p49 @p4)) % 0.38/0.58 (step @p51 :rule refl :args (@t48)) % 0.38/0.58 (step @p52 :rule nary_cong :premises (@p51 @p9 @p50) :args (@t71)) % 0.38/0.58 (step @p53 :rule trans :premises (@p52 @p47)) % 0.38/0.58 (step @p54 :rule cong :premises (@p53) :args ((forall @t37 @t71))) % 0.38/0.58 (step @p55 :rule quant-var-elim-eq :args ((= (forall @t16 @t75) @t71))) % 0.38/0.58 (step @p56 :rule aci_norm :args ((= @t76 @t75))) % 0.38/0.58 (step @p57 :rule cong :premises (@p56) :args (@t77)) % 0.38/0.58 (step @p58 :rule trans :premises (@p57 @p55)) % 0.38/0.58 (step @p59 :rule cong :premises (@p58) :args (@t78)) % 0.38/0.58 (step @p60 :rule quant-merge-prenex :args ((= @t78 @t79))) % 0.38/0.58 (step @p61 :rule symm :premises (@p60)) % 0.38/0.58 (step @p62 :rule quant_var_reordering :args ((= (forall @t80 @t76) @t79))) % 0.38/0.58 (step @p63 :rule trans :premises (@p62 @p61 @p59)) % 0.38/0.58 (step @p64 :rule trans :premises (@p63 @p54)) % 0.38/0.58 (step @p65 :rule aci_norm :args ((= @t82 @t76))) % 0.38/0.58 (step @p66 :rule cong :premises (@p65) :args (@t83)) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p64)) % 0.38/0.58 (step @p68 :rule quant-merge-prenex :args ((= (forall @t16 @t84) @t83))) % 0.38/0.58 (step @p69 :rule refl :args (@t74)) % 0.38/0.58 (step @p70 :rule alpha_equiv :args (@t85 (@list @t32) (@list @t6))) % 0.38/0.58 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t86)) % 0.38/0.58 (step @p72 :rule quant-miniscope-or :args ((= @t84 @t86))) % 0.38/0.58 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.58 (step @p74 :rule symm :premises (@p73)) % 0.38/0.58 (step @p75 :rule cong :premises (@p74) :args ((forall @t16 (or @t89 @t74)))) % 0.38/0.58 (step @p76 :rule trans :premises (@p75 @p68)) % 0.38/0.58 (step @p77 :rule trans :premises (@p76 @p67)) % 0.38/0.58 (step @p78 :rule refl :args (@t73)) % 0.38/0.58 (step @p79 :rule refl :args (@t3)) % 0.38/0.58 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t3 @t73))) % 0.38/0.58 (step @p81 :rule symm :premises (@p80)) % 0.38/0.58 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.38/0.58 (step @p83 :rule refl :args (@t4)) % 0.38/0.58 (step @p84 :rule cong :premises (@p83 @p82) :args (@t5)) % 0.38/0.58 (step @p85 :rule cong :premises (@p84) :args (@t90)) % 0.38/0.58 (step @p86 :rule refl :args (@t89)) % 0.38/0.58 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t91)) % 0.38/0.58 (step @p88 :rule cong :premises (@p87) :args ((forall @t16 @t91))) % 0.38/0.58 (step @p89 :rule trans :premises (@p88 @p77)) % 0.38/0.58 (step @p90 :rule refl :args (@t90)) % 0.38/0.58 (step @p91 :rule bool-double-not-elim :args (@t89)) % 0.38/0.58 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t92) @t90))) % 0.38/0.58 (step @p93 :rule bool-and-de-morgan :args (@t92 @t5 true)) % 0.38/0.58 (step @p94 :rule trans :premises (@p93 @p92)) % 0.38/0.58 (step @p95 :rule cong :premises (@p94) :args (@t94)) % 0.38/0.58 (step @p96 :rule trans :premises (@p95 @p89)) % 0.38/0.58 (step @p97 :rule cong :premises (@p96) :args (@t95)) % 0.38/0.58 (step @p98 :rule exists-elim :args ((= (exists @t16 @t93) @t95))) % 0.38/0.58 (step @p99 :rule trans :premises (@p98 @p97)) % 0.38/0.58 (step @p100 :rule refl :args (@t5)) % 0.38/0.58 (step @p101 :rule refl :args (@t87)) % 0.38/0.58 (step @p102 :rule refl :args (@t8)) % 0.38/0.58 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t8 @t87))) % 0.38/0.58 (step @p104 :rule symm :premises (@p103)) % 0.38/0.58 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.38/0.58 (step @p106 :rule refl :args (@t1)) % 0.38/0.58 (step @p107 :rule cong :premises (@p106 @p105) :args (@t9)) % 0.38/0.58 (step @p108 :rule cong :premises (@p107) :args (@t96)) % 0.38/0.58 (step @p109 :rule refl :args (@t88)) % 0.38/0.58 (step @p110 :rule refl :args (@t11)) % 0.38/0.58 (step @p111 :rule cong :premises (@p110 @p109) :args ((= @t11 @t88))) % 0.38/0.58 (step @p112 :rule symm :premises (@p111)) % 0.38/0.58 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 0.38/0.58 (step @p114 :rule cong :premises (@p113) :args (@t97)) % 0.38/0.58 (step @p115 :rule nary_cong :premises (@p114 @p108) :args (@t98)) % 0.38/0.58 (step @p116 :rule cong :premises (@p115) :args ((forall @t13 @t98))) % 0.38/0.58 (step @p117 :rule bool-and-de-morgan :args (@t11 @t9 true)) % 0.38/0.58 (step @p118 :rule cong :premises (@p117) :args (@t99)) % 0.38/0.58 (step @p119 :rule trans :premises (@p118 @p116)) % 0.38/0.58 (step @p120 :rule cong :premises (@p119) :args (@t100)) % 0.38/0.58 (step @p121 :rule exists-elim :args ((= @t14 @t100))) % 0.38/0.58 (step @p122 :rule trans :premises (@p121 @p120)) % 0.38/0.58 (step @p123 :rule nary_cong :premises (@p122 @p100) :args (@t15)) % 0.38/0.58 (step @p124 :rule cong :premises (@p123) :args (@t17)) % 0.38/0.58 (step @p125 :rule trans :premises (@p124 @p99)) % 0.38/0.58 (step @p126 :rule refl :args ((_ @t2 @t19))) % 0.38/0.58 (step @p127 :rule refl :args (@t65)) % 0.38/0.58 (step @p128 :rule cong :premises (@p127) :args (@t66)) % 0.38/0.58 (step @p129 :rule trans :premises (@p128 @p126)) % 0.38/0.58 (step @p130 :rule refl :args (@t2)) % 0.38/0.58 (step @p131 :rule ho_cong :premises (@p130 @p127)) % 0.38/0.58 (step @p132 :rule cong :premises (@p131 @p129) :args ((= (_ @t2 @t65) @t66))) % 0.38/0.58 (step @p133 :rule symm :premises (@p132)) % 0.38/0.58 (step @p134 :rule refl :args (@t20)) % 0.38/0.58 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.38/0.58 (step @p136 :rule refl :args (@t19)) % 0.38/0.58 (step @p137 :rule cong :premises (@p136 @p127) :args ((= @t19 @t65))) % 0.38/0.58 (step @p138 :rule symm :premises (@p137)) % 0.38/0.58 (step @p139 :rule eq_resolve :premises (@p136 @p138)) % 0.38/0.58 (step @p140 :rule ho_cong :premises (@p130 @p139)) % 0.38/0.58 (step @p141 :rule trans :premises (@p140 @p135)) % 0.38/0.58 (step @p142 :rule cong :premises (@p83 @p141) :args (@t21)) % 0.38/0.58 (step @p143 :rule cong :premises (@p142) :args (@t101)) % 0.38/0.58 (step @p144 :rule refl :args (@t67)) % 0.38/0.58 (step @p145 :rule refl :args (@t22)) % 0.38/0.58 (step @p146 :rule cong :premises (@p145 @p144) :args ((= @t22 @t67))) % 0.38/0.58 (step @p147 :rule symm :premises (@p146)) % 0.38/0.58 (step @p148 :rule eq_resolve :premises (@p145 @p147)) % 0.38/0.58 (step @p149 :rule cong :premises (@p148) :args (@t102)) % 0.38/0.58 (step @p150 :rule nary_cong :premises (@p149 @p143) :args (@t103)) % 0.38/0.58 (step @p151 :rule cong :premises (@p150) :args ((forall @t24 @t103))) % 0.38/0.58 (step @p152 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.38/0.58 (step @p153 :rule cong :premises (@p152) :args (@t104)) % 0.38/0.58 (step @p154 :rule trans :premises (@p153 @p151)) % 0.38/0.58 (step @p155 :rule cong :premises (@p154) :args (@t105)) % 0.38/0.58 (step @p156 :rule exists-elim :args ((= @t25 @t105))) % 0.38/0.58 (step @p157 :rule trans :premises (@p156 @p155)) % 0.38/0.58 (step @p158 :rule cong :premises (@p157 @p125) :args (@t26)) % 0.38/0.58 (step @p159 :rule cong :premises (@p158) :args (@t28)) % 0.38/0.58 (step @p160 :rule trans :premises (@p159 @p46)) % 0.38/0.58 (step @p161 :rule cong :premises (@p160) :args (@t29)) % 0.38/0.58 (step @p162 :rule eq_resolve :premises (@p1 @p161)) % 0.38/0.58 (step @p163 :rule skolemize :premises (@p162)) % 0.38/0.58 (step @p164 :rule bool-double-not-elim :args (@t112)) % 0.38/0.58 (step @p165 :rule refl :args (@t116)) % 0.38/0.58 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t116 (not @t115)))) % 0.38/0.58 (step @p167 :rule cnf_or_neg :args (@t116 0)) % 0.38/0.58 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.38/0.58 (step @p169 :rule reordering :premises (@p168) :args ((or @t112 @t116))) % 0.38/0.58 (step @p170 :rule chain_m_resolution :premises (@p169 @p163) :args (@t112 @t117 @t118)) % 0.38/0.58 (step @p171 :rule bool-double-not-elim :args (@t113)) % 0.38/0.58 (step @p172 :rule nary_cong :premises (@p165 @p171) :args ((or @t116 (not @t114)))) % 0.38/0.58 (step @p173 :rule cnf_or_neg :args (@t116 1)) % 0.38/0.58 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.38/0.58 (step @p175 :rule reordering :premises (@p174) :args ((or @t113 @t116))) % 0.38/0.58 (step @p176 :rule chain_m_resolution :premises (@p175 @p163) :args (@t113 @t117 @t118)) % 0.38/0.58 (step @p177 :rule aci_norm :args ((= (or false @t114) @t114))) % 0.38/0.58 (step @p178 :rule refl :args (@t114)) % 0.38/0.58 (step @p179 :rule eq-refl :args (@t111)) % 0.38/0.58 (step @p180 :rule cong :premises (@p179) :args (@t119)) % 0.38/0.58 (step @p181 :rule trans :premises (@p180 @p4)) % 0.38/0.58 (step @p182 :rule nary_cong :premises (@p181 @p178) :args (@t120)) % 0.38/0.58 (step @p183 :rule trans :premises (@p182 @p177)) % 0.38/0.58 (step @p184 :rule refl :args (@t112)) % 0.38/0.58 (step @p185 :rule cong :premises (@p184 @p183) :args ((=> @t112 @t120))) % 0.38/0.58 (assume-push @p193 @t112) % 0.38/0.58 (step @p187 :rule instantiate :premises (@p170) :args ((@list @t108))) % 0.38/0.58 (step-pop @p194 :rule scope :premises (@p187)) % 0.38/0.58 (step @p188 :rule process_scope :premises (@p194) :args (@t120)) % 0.38/0.58 (step @p190 :rule eq_resolve :premises (@p188 @p185)) % 0.38/0.58 (step @p191 :rule implies_elim :premises (@p190)) % 0.38/0.58 (step @p192 false :rule chain_m_resolution :premises (@p191 @p176 @p170) :args (false (@list false false) (@list @t113 @t112))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------