%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU897^5 : 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 : n016.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 08:53:30 AM UTC 2026 % Result : Theorem 0.44s 0.69s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SEU897^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n016.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 17:58:24 EDT 2026 % 0.15/0.33 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.44/0.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.69 % SZS status Theorem % 0.44/0.69 % SZS output start Proof % 0.44/0.69 ( % 0.44/0.69 (declare-sort tptp.a 0) % 0.44/0.69 (declare-const tptp.cR (-> tptp.a Bool)) % 0.44/0.69 (declare-const tptp.cS (-> tptp.a Bool)) % 0.44/0.69 (define @t1 () (@var "Xt" tptp.a)) % 0.44/0.69 (define @t2 () (@var "F" (-> tptp.a tptp.a))) % 0.44/0.69 (define @t3 () (_ @t2 @t1)) % 0.44/0.69 (define @t4 () (@var "Xx" tptp.a)) % 0.44/0.69 (define @t5 () (= @t4 @t3)) % 0.44/0.69 (define @t6 () (_ tptp.cS @t1)) % 0.44/0.69 (define @t7 () (and @t6 @t5)) % 0.44/0.69 (define @t8 () (@list @t1)) % 0.44/0.69 (define @t9 () (exists @t8 @t7)) % 0.44/0.69 (define @t10 () (_ tptp.cR @t1)) % 0.44/0.69 (define @t11 () (and @t10 @t5)) % 0.44/0.69 (define @t12 () (exists @t8 @t11)) % 0.44/0.69 (define @t13 () (=> @t12 @t9)) % 0.44/0.69 (define @t14 () (@list @t2 @t4)) % 0.44/0.69 (define @t15 () (forall @t14 @t13)) % 0.44/0.69 (define @t16 () (_ tptp.cS @t4)) % 0.44/0.69 (define @t17 () (_ tptp.cR @t4)) % 0.44/0.69 (define @t18 () (@list @t4)) % 0.44/0.69 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.44/0.69 (define @t20 () (= @t19 @t15)) % 0.44/0.69 (define @t21 () (not @t20)) % 0.44/0.69 (define @t22 () (@var "BOUND_VARIABLE_7471" tptp.a)) % 0.44/0.69 (define @t23 () (not (tptp.cR @t22))) % 0.44/0.69 (define @t24 () (_ @t2 @t22)) % 0.44/0.69 (define @t25 () (_ @t2 @t1)) % 0.44/0.69 (define @t26 () (tptp.cS @t1)) % 0.44/0.69 (define @t27 () (not @t26)) % 0.44/0.69 (define @t28 () (not (forall @t8 (or @t27 (not (= @t25 @t24)))))) % 0.44/0.69 (define @t29 () (or @t28 @t23)) % 0.44/0.69 (define @t30 () (not (= @t24 @t24))) % 0.44/0.69 (define @t31 () (not (= @t24 @t25))) % 0.44/0.69 (define @t32 () (or @t27 @t31)) % 0.44/0.69 (define @t33 () (forall @t8 @t32)) % 0.44/0.69 (define @t34 () (not @t33)) % 0.44/0.69 (define @t35 () (or @t34 @t23 @t30)) % 0.44/0.69 (define @t36 () (@list @t2 @t22)) % 0.44/0.69 (define @t37 () (not (= @t4 @t24))) % 0.44/0.69 (define @t38 () (not (= @t4 @t25))) % 0.44/0.69 (define @t39 () (not (forall @t8 (or @t27 @t38)))) % 0.44/0.69 (define @t40 () (or @t37 @t39 @t23 @t37)) % 0.44/0.69 (define @t41 () (or @t39 @t23 @t37)) % 0.44/0.69 (define @t42 () (forall @t18 @t41)) % 0.44/0.69 (define @t43 () (forall @t36 @t42)) % 0.44/0.69 (define @t44 () (forall (@list @t2 @t22 @t4) @t41)) % 0.44/0.69 (define @t45 () (@list @t2 @t4 @t22)) % 0.44/0.69 (define @t46 () (or @t23 @t37)) % 0.44/0.69 (define @t47 () (or @t46 @t39)) % 0.44/0.69 (define @t48 () (forall @t45 @t47)) % 0.44/0.69 (define @t49 () (@list @t22)) % 0.44/0.69 (define @t50 () (forall @t49 @t47)) % 0.44/0.69 (define @t51 () (forall @t49 @t46)) % 0.44/0.69 (define @t52 () (or @t51 @t39)) % 0.44/0.69 (define @t53 () (tptp.cR @t1)) % 0.44/0.69 (define @t54 () (forall @t8 (or (not @t53) @t38))) % 0.44/0.69 (define @t55 () (not @t54)) % 0.44/0.69 (define @t56 () (not @t5)) % 0.44/0.69 (define @t57 () (not @t6)) % 0.44/0.69 (define @t58 () (or @t57 @t56)) % 0.44/0.69 (define @t59 () (forall @t8 (not @t7))) % 0.44/0.69 (define @t60 () (not @t59)) % 0.44/0.69 (define @t61 () (not @t10)) % 0.44/0.69 (define @t62 () (or @t61 @t56)) % 0.44/0.69 (define @t63 () (forall @t8 (not @t11))) % 0.44/0.69 (define @t64 () (not @t63)) % 0.44/0.69 (define @t65 () (tptp.cS @t4)) % 0.44/0.69 (define @t66 () (tptp.cR @t4)) % 0.44/0.69 (define @t67 () (not @t17)) % 0.44/0.69 (define @t68 () (or @t67 @t16)) % 0.44/0.69 (define @t69 () (forall @t36 @t29)) % 0.44/0.69 (define @t70 () (@quantifiers_skolemize @t69 1)) % 0.44/0.69 (define @t71 () (tptp.cR @t70)) % 0.44/0.69 (define @t72 () (not @t71)) % 0.44/0.69 (define @t73 () (@quantifiers_skolemize @t69 0)) % 0.44/0.69 (define @t74 () (_ @t73 @t70)) % 0.44/0.69 (define @t75 () (forall @t8 (or @t27 (not (= (_ @t73 @t1) @t74))))) % 0.44/0.69 (define @t76 () (not @t75)) % 0.44/0.69 (define @t77 () (or @t76 @t72)) % 0.44/0.69 (define @t78 () (not @t77)) % 0.44/0.69 (define @t79 () (not @t69)) % 0.44/0.69 (define @t80 () (forall @t18 (or (not @t66) @t65))) % 0.44/0.69 (define @t81 () (@list @t70)) % 0.44/0.69 (define @t82 () (tptp.cS @t70)) % 0.44/0.69 (define @t83 () (or @t72 @t82)) % 0.44/0.69 (define @t84 () (not @t82)) % 0.44/0.69 (define @t85 () (not (= @t74 @t74))) % 0.44/0.69 (define @t86 () (or @t84 @t85)) % 0.44/0.69 (define @t87 () (not @t80)) % 0.44/0.69 (define @t88 () (@list true)) % 0.44/0.69 (define @t89 () (@list @t80)) % 0.44/0.69 (define @t90 () (@quantifiers_skolemize @t80 0)) % 0.44/0.69 (define @t91 () (tptp.cS @t90)) % 0.44/0.69 (define @t92 () (tptp.cR @t90)) % 0.44/0.69 (define @t93 () (not @t92)) % 0.44/0.69 (define @t94 () (or @t93 @t91)) % 0.44/0.69 (define @t95 () (not @t94)) % 0.44/0.69 (define @t96 () (not @t91)) % 0.44/0.69 (define @t97 () (@list @t94)) % 0.44/0.69 (define @t98 () (or @t91 @t93)) % 0.44/0.69 (define @t99 () (not @t98)) % 0.44/0.69 (define @t100 () (not (= @t90 @t90))) % 0.44/0.69 (define @t101 () (or @t96 @t100)) % 0.44/0.69 (define @t102 () (not (= @t1 @t90))) % 0.44/0.69 (define @t103 () (or @t102 @t27 @t102)) % 0.44/0.69 (define @t104 () (or @t27 @t102)) % 0.44/0.69 (define @t105 () (@var "BOUND_VARIABLE_14956" tptp.a)) % 0.44/0.69 (define @t106 () (lambda (@list @t105) @t105)) % 0.44/0.69 (define @t107 () (_ @t106 @t90)) % 0.44/0.69 (define @t108 () (_ @t106 @t1)) % 0.44/0.69 (define @t109 () (= @t108 @t107)) % 0.44/0.69 (define @t110 () (not @t109)) % 0.44/0.69 (define @t111 () (or @t27 @t110)) % 0.44/0.69 (define @t112 () (forall @t8 @t111)) % 0.44/0.69 (define @t113 () (not @t112)) % 0.44/0.69 (define @t114 () (or @t113 @t93)) % 0.44/0.69 (assume @p1 @t21) % 0.44/0.69 (assume @p2 true) % 0.44/0.69 (step @p3 :rule aci_norm :args ((= (or @t28 @t23 false) @t29))) % 0.44/0.69 (step @p4 :rule evaluate :args ((not true))) % 0.44/0.69 (step @p5 :rule eq-refl :args (@t24)) % 0.44/0.69 (step @p6 :rule cong :premises (@p5) :args (@t30)) % 0.44/0.69 (step @p7 :rule trans :premises (@p6 @p4)) % 0.44/0.69 (step @p8 :rule refl :args (@t23)) % 0.44/0.69 (step @p9 :rule eq-symm :args (@t24 @t25)) % 0.44/0.69 (step @p10 :rule cong :premises (@p9) :args (@t31)) % 0.44/0.69 (step @p11 :rule refl :args (@t27)) % 0.44/0.69 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t32)) % 0.44/0.69 (step @p13 :rule cong :premises (@p12) :args (@t33)) % 0.44/0.69 (step @p14 :rule cong :premises (@p13) :args (@t34)) % 0.44/0.69 (step @p15 :rule nary_cong :premises (@p14 @p8 @p7) :args (@t35)) % 0.44/0.69 (step @p16 :rule trans :premises (@p15 @p3)) % 0.44/0.69 (step @p17 :rule cong :premises (@p16) :args ((forall @t36 @t35))) % 0.44/0.69 (step @p18 :rule quant-var-elim-eq :args ((= (forall @t18 @t40) @t35))) % 0.44/0.69 (step @p19 :rule aci_norm :args ((= @t41 @t40))) % 0.44/0.69 (step @p20 :rule cong :premises (@p19) :args (@t42)) % 0.44/0.69 (step @p21 :rule trans :premises (@p20 @p18)) % 0.44/0.69 (step @p22 :rule cong :premises (@p21) :args (@t43)) % 0.44/0.69 (step @p23 :rule quant-merge-prenex :args ((= @t43 @t44))) % 0.44/0.69 (step @p24 :rule symm :premises (@p23)) % 0.44/0.69 (step @p25 :rule quant_var_reordering :args ((= (forall @t45 @t41) @t44))) % 0.44/0.69 (step @p26 :rule trans :premises (@p25 @p24 @p22)) % 0.44/0.69 (step @p27 :rule trans :premises (@p26 @p17)) % 0.44/0.69 (step @p28 :rule aci_norm :args ((= @t47 @t41))) % 0.44/0.69 (step @p29 :rule cong :premises (@p28) :args (@t48)) % 0.44/0.69 (step @p30 :rule trans :premises (@p29 @p27)) % 0.44/0.69 (step @p31 :rule quant-merge-prenex :args ((= (forall @t14 @t50) @t48))) % 0.44/0.69 (step @p32 :rule refl :args (@t39)) % 0.44/0.69 (step @p33 :rule alpha_equiv :args (@t51 (@list @t22) (@list @t1))) % 0.44/0.69 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t52)) % 0.44/0.69 (step @p35 :rule quant-miniscope-or :args ((= @t50 @t52))) % 0.44/0.69 (step @p36 :rule trans :premises (@p35 @p34)) % 0.44/0.69 (step @p37 :rule symm :premises (@p36)) % 0.44/0.69 (step @p38 :rule cong :premises (@p37) :args ((forall @t14 (or @t54 @t39)))) % 0.44/0.69 (step @p39 :rule trans :premises (@p38 @p31)) % 0.44/0.69 (step @p40 :rule trans :premises (@p39 @p30)) % 0.44/0.69 (step @p41 :rule bool-double-not-elim :args (@t54)) % 0.44/0.69 (step @p42 :rule nary_cong :premises (@p41 @p32) :args ((or (not @t55) @t39))) % 0.44/0.69 (step @p43 :rule bool-impl-elim :args (@t55 @t39)) % 0.44/0.69 (step @p44 :rule trans :premises (@p43 @p42)) % 0.44/0.69 (step @p45 :rule cong :premises (@p44) :args ((forall @t14 (=> @t55 @t39)))) % 0.44/0.69 (step @p46 :rule trans :premises (@p45 @p40)) % 0.44/0.69 (step @p47 :rule refl :args (@t25)) % 0.44/0.69 (step @p48 :rule refl :args (@t3)) % 0.44/0.69 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t3 @t25))) % 0.44/0.69 (step @p50 :rule symm :premises (@p49)) % 0.44/0.69 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.44/0.69 (step @p52 :rule refl :args (@t4)) % 0.44/0.69 (step @p53 :rule cong :premises (@p52 @p51) :args (@t5)) % 0.44/0.69 (step @p54 :rule cong :premises (@p53) :args (@t56)) % 0.44/0.69 (step @p55 :rule refl :args (@t26)) % 0.44/0.69 (step @p56 :rule refl :args (@t6)) % 0.44/0.69 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t6 @t26))) % 0.44/0.69 (step @p58 :rule symm :premises (@p57)) % 0.44/0.69 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.44/0.69 (step @p60 :rule cong :premises (@p59) :args (@t57)) % 0.44/0.69 (step @p61 :rule nary_cong :premises (@p60 @p54) :args (@t58)) % 0.44/0.69 (step @p62 :rule cong :premises (@p61) :args ((forall @t8 @t58))) % 0.44/0.69 (step @p63 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.44/0.69 (step @p64 :rule cong :premises (@p63) :args (@t59)) % 0.44/0.69 (step @p65 :rule trans :premises (@p64 @p62)) % 0.44/0.69 (step @p66 :rule cong :premises (@p65) :args (@t60)) % 0.44/0.69 (step @p67 :rule exists-elim :args ((= @t9 @t60))) % 0.44/0.69 (step @p68 :rule trans :premises (@p67 @p66)) % 0.44/0.69 (step @p69 :rule refl :args (@t53)) % 0.44/0.69 (step @p70 :rule refl :args (@t10)) % 0.44/0.69 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t10 @t53))) % 0.44/0.69 (step @p72 :rule symm :premises (@p71)) % 0.44/0.69 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.44/0.69 (step @p74 :rule cong :premises (@p73) :args (@t61)) % 0.44/0.69 (step @p75 :rule nary_cong :premises (@p74 @p54) :args (@t62)) % 0.44/0.69 (step @p76 :rule cong :premises (@p75) :args ((forall @t8 @t62))) % 0.44/0.69 (step @p77 :rule bool-and-de-morgan :args (@t10 @t5 true)) % 0.44/0.69 (step @p78 :rule cong :premises (@p77) :args (@t63)) % 0.44/0.69 (step @p79 :rule trans :premises (@p78 @p76)) % 0.44/0.69 (step @p80 :rule cong :premises (@p79) :args (@t64)) % 0.44/0.69 (step @p81 :rule exists-elim :args ((= @t12 @t64))) % 0.44/0.69 (step @p82 :rule trans :premises (@p81 @p80)) % 0.44/0.69 (step @p83 :rule cong :premises (@p82 @p68) :args (@t13)) % 0.44/0.69 (step @p84 :rule cong :premises (@p83) :args (@t15)) % 0.44/0.69 (step @p85 :rule trans :premises (@p84 @p46)) % 0.44/0.69 (step @p86 :rule refl :args (@t65)) % 0.44/0.69 (step @p87 :rule refl :args (@t16)) % 0.44/0.69 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t16 @t65))) % 0.44/0.69 (step @p89 :rule symm :premises (@p88)) % 0.44/0.69 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.44/0.69 (step @p91 :rule refl :args (@t66)) % 0.44/0.69 (step @p92 :rule refl :args (@t17)) % 0.44/0.69 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t17 @t66))) % 0.44/0.69 (step @p94 :rule symm :premises (@p93)) % 0.44/0.69 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.44/0.69 (step @p96 :rule cong :premises (@p95) :args (@t67)) % 0.44/0.69 (step @p97 :rule nary_cong :premises (@p96 @p90) :args (@t68)) % 0.44/0.69 (step @p98 :rule cong :premises (@p97) :args ((forall @t18 @t68))) % 0.44/0.69 (step @p99 :rule bool-impl-elim :args (@t17 @t16)) % 0.44/0.69 (step @p100 :rule cong :premises (@p99) :args (@t19)) % 0.44/0.69 (step @p101 :rule trans :premises (@p100 @p98)) % 0.44/0.69 (step @p102 :rule cong :premises (@p101 @p85) :args (@t20)) % 0.44/0.69 (step @p103 :rule cong :premises (@p102) :args (@t21)) % 0.44/0.69 (step @p104 :rule eq_resolve :premises (@p1 @p103)) % 0.44/0.69 (step @p105 :rule not_equiv_elim2 :premises (@p104)) % 0.44/0.69 (step @p106 :rule refl :args (@t78)) % 0.44/0.69 (step @p107 :rule bool-double-not-elim :args (@t69)) % 0.44/0.69 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t79) @t78))) % 0.44/0.69 (assume-push @p206 @t79) % 0.44/0.69 (step @p110 :rule skolemize :premises (@p206)) % 0.44/0.69 (step-pop @p207 :rule scope :premises (@p110)) % 0.44/0.69 (step @p111 :rule process_scope :premises (@p207) :args (@t78)) % 0.44/0.69 (step @p113 :rule implies_elim :premises (@p111)) % 0.44/0.69 (step @p114 :rule eq_resolve :premises (@p113 @p108)) % 0.44/0.69 (step @p115 :rule bool-double-not-elim :args (@t75)) % 0.44/0.69 (step @p116 :rule refl :args (@t77)) % 0.44/0.69 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t77 (not @t76)))) % 0.44/0.69 (step @p118 :rule cnf_or_neg :args (@t77 0)) % 0.44/0.69 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.44/0.69 (step @p120 :rule reordering :premises (@p119) :args ((or @t75 @t77))) % 0.44/0.69 (step @p121 :rule bool-double-not-elim :args (@t71)) % 0.44/0.69 (step @p122 :rule nary_cong :premises (@p116 @p121) :args ((or @t77 (not @t72)))) % 0.44/0.69 (step @p123 :rule cnf_or_neg :args (@t77 1)) % 0.44/0.69 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.44/0.69 (step @p125 :rule reordering :premises (@p124) :args ((or @t71 @t77))) % 0.44/0.69 (assume-push @p208 @t80) % 0.44/0.69 (step @p127 :rule instantiate :premises (@p208) :args (@t81)) % 0.44/0.69 (step-pop @p209 :rule scope :premises (@p127)) % 0.44/0.69 (step @p128 :rule process_scope :premises (@p209) :args (@t83)) % 0.44/0.69 (step @p130 :rule implies_elim :premises (@p128)) % 0.44/0.69 (step @p131 :rule cnf_or_pos :args (@t83)) % 0.44/0.69 (step @p132 :rule reordering :premises (@p131) :args ((or @t72 @t82 (not @t83)))) % 0.44/0.69 (step @p133 :rule aci_norm :args ((= (or @t84 false) @t84))) % 0.44/0.69 (step @p134 :rule eq-refl :args (@t74)) % 0.44/0.69 (step @p135 :rule cong :premises (@p134) :args (@t85)) % 0.44/0.69 (step @p136 :rule trans :premises (@p135 @p4)) % 0.44/0.69 (step @p137 :rule refl :args (@t84)) % 0.44/0.69 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t86)) % 0.44/0.69 (step @p139 :rule trans :premises (@p138 @p133)) % 0.44/0.69 (step @p140 :rule refl :args (@t75)) % 0.44/0.69 (step @p141 :rule cong :premises (@p140 @p139) :args ((=> @t75 @t86))) % 0.44/0.69 (assume-push @p210 @t75) % 0.44/0.69 (step @p143 :rule instantiate :premises (@p210) :args (@t81)) % 0.44/0.69 (step-pop @p211 :rule scope :premises (@p143)) % 0.44/0.69 (step @p144 :rule process_scope :premises (@p211) :args (@t86)) % 0.44/0.69 (step @p146 :rule eq_resolve :premises (@p144 @p141)) % 0.44/0.69 (step @p147 :rule implies_elim :premises (@p146)) % 0.44/0.69 (step @p148 :rule chain_m_resolution :premises (@p147 @p132 @p130 @p125 @p120 @p114 @p105) :args (@t87 (@list false false false false true true) (@list @t82 @t83 @t71 @t75 @t77 @t69))) % 0.44/0.69 (step @p149 :rule not_equiv_elim1 :premises (@p104)) % 0.44/0.69 (step @p150 :rule chain_m_resolution :premises (@p149 @p148) :args (@t69 @t88 @t89)) % 0.44/0.69 (step @p151 :rule refl :args (@t95)) % 0.44/0.69 (step @p152 :rule bool-double-not-elim :args (@t80)) % 0.44/0.69 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t87) @t95))) % 0.44/0.69 (assume-push @p212 @t87) % 0.44/0.69 (step @p155 :rule skolemize :premises (@p212)) % 0.44/0.69 (step-pop @p213 :rule scope :premises (@p155)) % 0.44/0.69 (step @p156 :rule process_scope :premises (@p213) :args (@t95)) % 0.44/0.69 (step @p158 :rule implies_elim :premises (@p156)) % 0.44/0.69 (step @p159 :rule eq_resolve :premises (@p158 @p153)) % 0.44/0.69 (step @p160 :rule chain_m_resolution :premises (@p159 @p148) :args (@t95 @t88 @t89)) % 0.44/0.69 (step @p161 :rule cnf_or_neg :args (@t94 1)) % 0.44/0.69 (step @p162 :rule chain_m_resolution :premises (@p161 @p160) :args (@t96 @t88 @t97)) % 0.44/0.69 (step @p163 :rule bool-double-not-elim :args (@t92)) % 0.44/0.69 (step @p164 :rule refl :args (@t94)) % 0.44/0.69 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t94 (not @t93)))) % 0.44/0.69 (step @p166 :rule cnf_or_neg :args (@t94 0)) % 0.44/0.69 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.44/0.69 (step @p168 :rule reordering :premises (@p167) :args ((or @t92 @t94))) % 0.44/0.69 (step @p169 :rule chain_m_resolution :premises (@p168 @p160) :args (@t92 @t88 @t97)) % 0.44/0.69 (step @p170 :rule cnf_or_pos :args (@t98)) % 0.44/0.69 (step @p171 :rule reordering :premises (@p170) :args ((or @t93 @t91 @t99))) % 0.44/0.69 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p162) :args (@t99 (@list false true) (@list @t92 @t91))) % 0.44/0.69 (step @p173 :rule refl :args (@t93)) % 0.44/0.69 (step @p174 :rule bool-double-not-elim :args (@t91)) % 0.44/0.69 (step @p175 :rule aci_norm :args ((= (or @t96 false) @t96))) % 0.44/0.69 (step @p176 :rule eq-refl :args (@t90)) % 0.44/0.69 (step @p177 :rule cong :premises (@p176) :args (@t100)) % 0.44/0.69 (step @p178 :rule trans :premises (@p177 @p4)) % 0.44/0.69 (step @p179 :rule refl :args (@t96)) % 0.44/0.69 (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t101)) % 0.44/0.69 (step @p181 :rule trans :premises (@p180 @p175)) % 0.44/0.69 (step @p182 :rule quant-var-elim-eq :args ((= (forall @t8 @t103) @t101))) % 0.44/0.69 (step @p183 :rule aci_norm :args ((= @t104 @t103))) % 0.44/0.69 (step @p184 :rule cong :premises (@p183) :args ((forall @t8 @t104))) % 0.44/0.69 (step @p185 :rule trans :premises (@p184 @p182)) % 0.44/0.69 (step @p186 :rule trans :premises (@p185 @p181)) % 0.44/0.69 (step @p187 :rule beta-reduce :args ((= @t107 @t90))) % 0.44/0.69 (step @p188 :rule beta-reduce :args ((= @t108 @t1))) % 0.44/0.69 (step @p189 :rule cong :premises (@p188 @p187) :args (@t109)) % 0.44/0.69 (step @p190 :rule cong :premises (@p189) :args (@t110)) % 0.44/0.69 (step @p191 :rule nary_cong :premises (@p11 @p190) :args (@t111)) % 0.44/0.69 (step @p192 :rule cong :premises (@p191) :args (@t112)) % 0.44/0.69 (step @p193 :rule trans :premises (@p192 @p186)) % 0.44/0.69 (step @p194 :rule cong :premises (@p193) :args (@t113)) % 0.44/0.69 (step @p195 :rule trans :premises (@p194 @p174)) % 0.44/0.69 (step @p196 :rule nary_cong :premises (@p195 @p173) :args (@t114)) % 0.44/0.69 (step @p197 :rule refl :args (@t69)) % 0.44/0.69 (step @p198 :rule cong :premises (@p197 @p196) :args ((=> @t69 @t114))) % 0.44/0.69 (assume-push @p214 @t69) % 0.44/0.69 (step @p200 :rule instantiate :premises (@p214) :args ((@list @t106 @t90))) % 0.44/0.69 (step-pop @p215 :rule scope :premises (@p200)) % 0.44/0.69 (step @p201 :rule process_scope :premises (@p215) :args (@t114)) % 0.44/0.69 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 0.44/0.69 (step @p204 :rule implies_elim :premises (@p203)) % 0.44/0.69 (step @p205 false :rule chain_m_resolution :premises (@p204 @p172 @p150) :args (false (@list true false) (@list @t98 @t69))) % 0.44/0.69 ) % 0.44/0.69 % SZS output end Proof % 0.44/0.69 % cvc5 exiting %------------------------------------------------------------------------------