%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV221^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:55:37 AM UTC 2026 % Result : Theorem 0.13s 0.40s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV221^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n012.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 18:20:18 EDT 2026 % 0.08/0.26 % CPUTime : % 0.13/0.35 %----Proving TH0 % 0.13/0.40 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.13/0.40 % SZS status Theorem % 0.13/0.40 % SZS output start Proof % 0.13/0.40 ( % 0.13/0.40 (declare-sort tptp.a 0) % 0.13/0.40 (declare-const tptp.cW (-> (-> tptp.a Bool) Bool)) % 0.13/0.40 (declare-const tptp.cZ (-> tptp.a Bool)) % 0.13/0.40 (define @t1 () (@var "Xx" tptp.a)) % 0.13/0.40 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.13/0.40 (define @t3 () (_ @t2 @t1)) % 0.13/0.40 (define @t4 () (@var "Xx0" tptp.a)) % 0.13/0.40 (define @t5 () (@var "Xt" (-> tptp.a Bool))) % 0.13/0.40 (define @t6 () (_ @t5 @t4)) % 0.13/0.40 (define @t7 () (_ tptp.cZ @t4)) % 0.13/0.40 (define @t8 () (and @t7 @t6)) % 0.13/0.40 (define @t9 () (@list @t4)) % 0.13/0.40 (define @t10 () (lambda @t9 @t8)) % 0.13/0.40 (define @t11 () (= @t2 @t10)) % 0.13/0.40 (define @t12 () (_ tptp.cW @t5)) % 0.13/0.40 (define @t13 () (and @t12 @t11)) % 0.13/0.40 (define @t14 () (@list @t5)) % 0.13/0.40 (define @t15 () (exists @t14 @t13)) % 0.13/0.40 (define @t16 () (and @t15 @t3)) % 0.13/0.40 (define @t17 () (@list @t2)) % 0.13/0.40 (define @t18 () (exists @t17 @t16)) % 0.13/0.40 (define @t19 () (_ tptp.cZ @t1)) % 0.13/0.40 (define @t20 () (_ tptp.cW @t2)) % 0.13/0.40 (define @t21 () (and @t20 @t3)) % 0.13/0.40 (define @t22 () (exists @t17 @t21)) % 0.13/0.40 (define @t23 () (and @t22 @t19)) % 0.13/0.40 (define @t24 () (= @t23 @t18)) % 0.13/0.40 (define @t25 () (@list @t1)) % 0.13/0.40 (define @t26 () (forall @t25 @t24)) % 0.13/0.40 (define @t27 () (not @t26)) % 0.13/0.40 (define @t28 () (tptp.cZ @t1)) % 0.13/0.40 (define @t29 () (_ @t2 @t1)) % 0.13/0.40 (define @t30 () (not @t29)) % 0.13/0.40 (define @t31 () (tptp.cW @t2)) % 0.13/0.40 (define @t32 () (not @t31)) % 0.13/0.40 (define @t33 () (not (forall @t17 (or @t32 @t30)))) % 0.13/0.40 (define @t34 () (and @t33 @t28)) % 0.13/0.40 (define @t35 () (@var "BOUND_VARIABLE_7480" (-> tptp.a Bool))) % 0.13/0.40 (define @t36 () (not (tptp.cW @t35))) % 0.13/0.40 (define @t37 () (_ @t35 @t1)) % 0.13/0.40 (define @t38 () (not @t37)) % 0.13/0.40 (define @t39 () (or @t38 @t36)) % 0.13/0.40 (define @t40 () (@list @t35)) % 0.13/0.40 (define @t41 () (forall @t40 @t39)) % 0.13/0.40 (define @t42 () (not @t41)) % 0.13/0.40 (define @t43 () (and @t28 @t42)) % 0.13/0.40 (define @t44 () (and @t33 @t19)) % 0.13/0.40 (define @t45 () (= @t44 @t43)) % 0.13/0.40 (define @t46 () (not @t28)) % 0.13/0.40 (define @t47 () (or @t46 @t41)) % 0.13/0.40 (define @t48 () (= @t44 (not @t47))) % 0.13/0.40 (define @t49 () (or @t46 @t39)) % 0.13/0.40 (define @t50 () (or @t46 @t38 @t36)) % 0.13/0.40 (define @t51 () (and @t28 @t37)) % 0.13/0.40 (define @t52 () (not @t51)) % 0.13/0.40 (define @t53 () (or @t52 @t36)) % 0.13/0.40 (define @t54 () (tptp.cZ @t4)) % 0.13/0.40 (define @t55 () (lambda @t9 (and @t54 (_ @t35 @t4)))) % 0.13/0.40 (define @t56 () (not (= @t55 @t55))) % 0.13/0.40 (define @t57 () (_ @t55 @t1)) % 0.13/0.40 (define @t58 () (not @t57)) % 0.13/0.40 (define @t59 () (or @t58 @t36 @t56)) % 0.13/0.40 (define @t60 () (not (= @t2 @t55))) % 0.13/0.40 (define @t61 () (or @t60 @t30 @t36 @t60)) % 0.13/0.40 (define @t62 () (or @t30 @t36 @t60)) % 0.13/0.40 (define @t63 () (forall @t17 @t62)) % 0.13/0.40 (define @t64 () (forall @t40 @t63)) % 0.13/0.40 (define @t65 () (forall (@list @t35 @t2) @t62)) % 0.13/0.40 (define @t66 () (@list @t2 @t35)) % 0.13/0.40 (define @t67 () (or @t36 @t60)) % 0.13/0.40 (define @t68 () (or @t67 @t30)) % 0.13/0.40 (define @t69 () (forall @t66 @t68)) % 0.13/0.40 (define @t70 () (forall @t40 @t68)) % 0.13/0.40 (define @t71 () (forall @t40 @t67)) % 0.13/0.40 (define @t72 () (or @t71 @t30)) % 0.13/0.40 (define @t73 () (_ @t5 @t4)) % 0.13/0.40 (define @t74 () (tptp.cW @t5)) % 0.13/0.40 (define @t75 () (forall @t14 (or (not @t74) (not (= @t2 (lambda @t9 (and @t54 @t73))))))) % 0.13/0.40 (define @t76 () (not @t3)) % 0.13/0.40 (define @t77 () (or @t75 @t76)) % 0.13/0.40 (define @t78 () (not @t75)) % 0.13/0.40 (define @t79 () (and @t78 @t3)) % 0.13/0.40 (define @t80 () (forall @t17 (not @t79))) % 0.13/0.40 (define @t81 () (not @t80)) % 0.13/0.40 (define @t82 () (not @t11)) % 0.13/0.40 (define @t83 () (not @t12)) % 0.13/0.40 (define @t84 () (or @t83 @t82)) % 0.13/0.40 (define @t85 () (forall @t14 (not @t13))) % 0.13/0.40 (define @t86 () (not @t85)) % 0.13/0.40 (define @t87 () (not @t20)) % 0.13/0.40 (define @t88 () (or @t87 @t76)) % 0.13/0.40 (define @t89 () (forall @t17 (not @t21))) % 0.13/0.40 (define @t90 () (not @t89)) % 0.13/0.40 (define @t91 () (@quantifiers_skolemize (forall @t25 (= @t43 @t34)) 0)) % 0.13/0.40 (define @t92 () (forall @t40 (or (not (_ @t35 @t91)) @t36))) % 0.13/0.40 (define @t93 () (not @t92)) % 0.13/0.40 (define @t94 () (tptp.cZ @t91)) % 0.13/0.40 (define @t95 () (and @t94 @t93)) % 0.13/0.40 (define @t96 () (not @t95)) % 0.13/0.40 (define @t97 () (forall @t17 (or @t32 (not (_ @t2 @t91))))) % 0.13/0.40 (define @t98 () (@quantifiers_skolemize @t97 0)) % 0.13/0.40 (define @t99 () (tptp.cW @t98)) % 0.13/0.40 (define @t100 () (not @t99)) % 0.13/0.40 (define @t101 () (_ @t98 @t91)) % 0.13/0.40 (define @t102 () (not @t101)) % 0.13/0.40 (define @t103 () (or @t102 @t100)) % 0.13/0.40 (define @t104 () (not @t97)) % 0.13/0.40 (define @t105 () (and @t104 @t94)) % 0.13/0.40 (define @t106 () (= @t95 @t105)) % 0.13/0.40 (define @t107 () (not @t105)) % 0.13/0.40 (define @t108 () (or @t100 @t102)) % 0.13/0.40 (define @t109 () (not @t108)) % 0.13/0.40 (define @t110 () (not @t104)) % 0.13/0.40 (define @t111 () (not @t94)) % 0.13/0.40 (define @t112 () (not @t93)) % 0.13/0.40 (define @t113 () (@quantifiers_skolemize @t92 0)) % 0.13/0.40 (define @t114 () (tptp.cW @t113)) % 0.13/0.40 (define @t115 () (not @t114)) % 0.13/0.40 (define @t116 () (_ @t113 @t91)) % 0.13/0.40 (define @t117 () (not @t116)) % 0.13/0.40 (define @t118 () (or @t117 @t115)) % 0.13/0.40 (define @t119 () (not @t118)) % 0.13/0.40 (define @t120 () (or @t115 @t117)) % 0.13/0.40 (define @t121 () (@list true)) % 0.13/0.40 (define @t122 () (@list @t94)) % 0.13/0.40 (assume @p1 @t27) % 0.13/0.40 (assume @p2 true) % 0.13/0.40 (step @p3 :rule eq-symm :args (@t34 @t43)) % 0.13/0.40 (step @p4 :rule cong :premises (@p3) :args ((forall @t25 (= @t34 @t43)))) % 0.13/0.40 (step @p5 :rule refl :args (@t43)) % 0.13/0.40 (step @p6 :rule refl :args (@t28)) % 0.13/0.40 (step @p7 :rule refl :args (@t19)) % 0.13/0.40 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t19 @t28))) % 0.13/0.40 (step @p9 :rule symm :premises (@p8)) % 0.13/0.40 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.13/0.40 (step @p11 :rule refl :args (@t33)) % 0.13/0.40 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t44)) % 0.13/0.40 (step @p13 :rule cong :premises (@p12 @p5) :args (@t45)) % 0.13/0.40 (step @p14 :rule cong :premises (@p13) :args ((forall @t25 @t45))) % 0.13/0.40 (step @p15 :rule trans :premises (@p14 @p4)) % 0.13/0.40 (step @p16 :rule refl :args (@t42)) % 0.13/0.40 (step @p17 :rule bool-double-not-elim :args (@t28)) % 0.13/0.40 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((and (not @t46) @t42))) % 0.13/0.40 (step @p19 :rule bool-or-de-morgan :args (@t46 @t41 false)) % 0.13/0.40 (step @p20 :rule trans :premises (@p19 @p18)) % 0.13/0.40 (step @p21 :rule refl :args (@t44)) % 0.13/0.40 (step @p22 :rule cong :premises (@p21 @p20) :args (@t48)) % 0.13/0.40 (step @p23 :rule cong :premises (@p22) :args ((forall @t25 @t48))) % 0.13/0.40 (step @p24 :rule trans :premises (@p23 @p15)) % 0.13/0.40 (step @p25 :rule quant-miniscope-or :args ((= (forall @t40 @t49) @t47))) % 0.13/0.40 (step @p26 :rule aci_norm :args ((= @t50 @t49))) % 0.13/0.40 (step @p27 :rule cong :premises (@p26) :args ((forall @t40 @t50))) % 0.13/0.40 (step @p28 :rule trans :premises (@p27 @p25)) % 0.13/0.40 (step @p29 :rule aci_norm :args ((= (or (or @t46 @t38) @t36) @t50))) % 0.13/0.40 (step @p30 :rule refl :args (@t36)) % 0.13/0.40 (step @p31 :rule bool-and-de-morgan :args (@t28 @t37 true)) % 0.13/0.40 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t53)) % 0.13/0.40 (step @p33 :rule trans :premises (@p32 @p29)) % 0.13/0.40 (step @p34 :rule cong :premises (@p33) :args ((forall @t40 @t53))) % 0.13/0.40 (step @p35 :rule trans :premises (@p34 @p28)) % 0.13/0.40 (step @p36 :rule aci_norm :args ((= (or @t52 @t36 false) @t53))) % 0.13/0.40 (step @p37 :rule evaluate :args ((not true))) % 0.13/0.40 (step @p38 :rule eq-refl :args (@t55)) % 0.13/0.40 (step @p39 :rule cong :premises (@p38) :args (@t56)) % 0.13/0.40 (step @p40 :rule trans :premises (@p39 @p37)) % 0.13/0.40 (step @p41 :rule refl :args (@t36)) % 0.13/0.40 (step @p42 :rule beta-reduce :args ((= @t57 @t51))) % 0.13/0.40 (step @p43 :rule cong :premises (@p42) :args (@t58)) % 0.13/0.40 (step @p44 :rule nary_cong :premises (@p43 @p41 @p40) :args (@t59)) % 0.13/0.40 (step @p45 :rule trans :premises (@p44 @p36)) % 0.13/0.40 (step @p46 :rule cong :premises (@p45) :args ((forall @t40 @t59))) % 0.13/0.40 (step @p47 :rule trans :premises (@p46 @p35)) % 0.13/0.40 (step @p48 :rule quant-var-elim-eq :args ((= (forall @t17 @t61) @t59))) % 0.13/0.40 (step @p49 :rule aci_norm :args ((= @t62 @t61))) % 0.13/0.40 (step @p50 :rule cong :premises (@p49) :args (@t63)) % 0.13/0.40 (step @p51 :rule trans :premises (@p50 @p48)) % 0.13/0.40 (step @p52 :rule cong :premises (@p51) :args (@t64)) % 0.13/0.40 (step @p53 :rule quant-merge-prenex :args ((= @t64 @t65))) % 0.13/0.40 (step @p54 :rule symm :premises (@p53)) % 0.13/0.40 (step @p55 :rule quant_var_reordering :args ((= (forall @t66 @t62) @t65))) % 0.13/0.40 (step @p56 :rule trans :premises (@p55 @p54 @p52)) % 0.13/0.40 (step @p57 :rule trans :premises (@p56 @p47)) % 0.13/0.40 (step @p58 :rule aci_norm :args ((= @t68 @t62))) % 0.13/0.40 (step @p59 :rule cong :premises (@p58) :args (@t69)) % 0.13/0.40 (step @p60 :rule trans :premises (@p59 @p57)) % 0.13/0.40 (step @p61 :rule quant-merge-prenex :args ((= (forall @t17 @t70) @t69))) % 0.13/0.40 (step @p62 :rule refl :args (@t30)) % 0.13/0.40 (step @p63 :rule alpha_equiv :args (@t71 (@list @t35) (@list @t5))) % 0.13/0.40 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t72)) % 0.13/0.40 (step @p65 :rule quant-miniscope-or :args ((= @t70 @t72))) % 0.13/0.40 (step @p66 :rule trans :premises (@p65 @p64)) % 0.13/0.40 (step @p67 :rule symm :premises (@p66)) % 0.13/0.40 (step @p68 :rule cong :premises (@p67) :args ((forall @t17 (or @t75 @t30)))) % 0.13/0.40 (step @p69 :rule trans :premises (@p68 @p61)) % 0.13/0.40 (step @p70 :rule trans :premises (@p69 @p60)) % 0.13/0.40 (step @p71 :rule refl :args (@t29)) % 0.13/0.40 (step @p72 :rule refl :args (@t3)) % 0.13/0.40 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t3 @t29))) % 0.13/0.40 (step @p74 :rule symm :premises (@p73)) % 0.13/0.40 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.13/0.40 (step @p76 :rule cong :premises (@p75) :args (@t76)) % 0.13/0.40 (step @p77 :rule refl :args (@t75)) % 0.13/0.40 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t77)) % 0.13/0.40 (step @p79 :rule cong :premises (@p78) :args ((forall @t17 @t77))) % 0.13/0.40 (step @p80 :rule trans :premises (@p79 @p70)) % 0.13/0.40 (step @p81 :rule refl :args (@t76)) % 0.13/0.40 (step @p82 :rule bool-double-not-elim :args (@t75)) % 0.13/0.40 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t78) @t76))) % 0.13/0.40 (step @p84 :rule bool-and-de-morgan :args (@t78 @t3 true)) % 0.13/0.40 (step @p85 :rule trans :premises (@p84 @p83)) % 0.13/0.40 (step @p86 :rule cong :premises (@p85) :args (@t80)) % 0.13/0.40 (step @p87 :rule trans :premises (@p86 @p80)) % 0.13/0.40 (step @p88 :rule cong :premises (@p87) :args (@t81)) % 0.13/0.40 (step @p89 :rule exists-elim :args ((= (exists @t17 @t79) @t81))) % 0.13/0.40 (step @p90 :rule trans :premises (@p89 @p88)) % 0.13/0.40 (step @p91 :rule refl :args (@t3)) % 0.13/0.40 (step @p92 :rule refl :args (@t73)) % 0.13/0.40 (step @p93 :rule refl :args (@t6)) % 0.13/0.40 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t6 @t73))) % 0.13/0.40 (step @p95 :rule symm :premises (@p94)) % 0.13/0.40 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.13/0.40 (step @p97 :rule refl :args (@t54)) % 0.13/0.40 (step @p98 :rule refl :args (@t7)) % 0.13/0.40 (step @p99 :rule cong :premises (@p98 @p97) :args ((= @t7 @t54))) % 0.13/0.40 (step @p100 :rule symm :premises (@p99)) % 0.13/0.40 (step @p101 :rule eq_resolve :premises (@p98 @p100)) % 0.13/0.40 (step @p102 :rule nary_cong :premises (@p101 @p96) :args (@t8)) % 0.13/0.40 (step @p103 :rule cong :premises (@p102) :args (@t10)) % 0.13/0.40 (step @p104 :rule refl :args (@t2)) % 0.13/0.40 (step @p105 :rule cong :premises (@p104 @p103) :args (@t11)) % 0.13/0.40 (step @p106 :rule cong :premises (@p105) :args (@t82)) % 0.13/0.40 (step @p107 :rule refl :args (@t74)) % 0.13/0.40 (step @p108 :rule refl :args (@t12)) % 0.13/0.40 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t12 @t74))) % 0.13/0.40 (step @p110 :rule symm :premises (@p109)) % 0.13/0.40 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 0.13/0.40 (step @p112 :rule cong :premises (@p111) :args (@t83)) % 0.13/0.40 (step @p113 :rule nary_cong :premises (@p112 @p106) :args (@t84)) % 0.13/0.40 (step @p114 :rule cong :premises (@p113) :args ((forall @t14 @t84))) % 0.13/0.40 (step @p115 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.13/0.40 (step @p116 :rule cong :premises (@p115) :args (@t85)) % 0.13/0.40 (step @p117 :rule trans :premises (@p116 @p114)) % 0.13/0.40 (step @p118 :rule cong :premises (@p117) :args (@t86)) % 0.13/0.40 (step @p119 :rule exists-elim :args ((= @t15 @t86))) % 0.13/0.40 (step @p120 :rule trans :premises (@p119 @p118)) % 0.13/0.40 (step @p121 :rule nary_cong :premises (@p120 @p91) :args (@t16)) % 0.13/0.40 (step @p122 :rule cong :premises (@p121) :args (@t18)) % 0.13/0.40 (step @p123 :rule trans :premises (@p122 @p90)) % 0.13/0.40 (step @p124 :rule refl :args (@t19)) % 0.13/0.40 (step @p125 :rule refl :args (@t31)) % 0.13/0.40 (step @p126 :rule refl :args (@t20)) % 0.13/0.40 (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t20 @t31))) % 0.13/0.40 (step @p128 :rule symm :premises (@p127)) % 0.13/0.40 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.13/0.40 (step @p130 :rule cong :premises (@p129) :args (@t87)) % 0.13/0.40 (step @p131 :rule nary_cong :premises (@p130 @p76) :args (@t88)) % 0.13/0.40 (step @p132 :rule cong :premises (@p131) :args ((forall @t17 @t88))) % 0.13/0.40 (step @p133 :rule bool-and-de-morgan :args (@t20 @t3 true)) % 0.13/0.40 (step @p134 :rule cong :premises (@p133) :args (@t89)) % 0.13/0.40 (step @p135 :rule trans :premises (@p134 @p132)) % 0.13/0.40 (step @p136 :rule cong :premises (@p135) :args (@t90)) % 0.13/0.40 (step @p137 :rule exists-elim :args ((= @t22 @t90))) % 0.13/0.40 (step @p138 :rule trans :premises (@p137 @p136)) % 0.13/0.40 (step @p139 :rule nary_cong :premises (@p138 @p124) :args (@t23)) % 0.13/0.40 (step @p140 :rule cong :premises (@p139 @p123) :args (@t24)) % 0.13/0.40 (step @p141 :rule cong :premises (@p140) :args (@t26)) % 0.13/0.40 (step @p142 :rule trans :premises (@p141 @p24)) % 0.13/0.40 (step @p143 :rule cong :premises (@p142) :args (@t27)) % 0.13/0.40 (step @p144 :rule eq_resolve :premises (@p1 @p143)) % 0.13/0.40 (step @p145 :rule skolemize :premises (@p144)) % 0.13/0.40 (step @p146 :rule cnf_and_pos :args (@t95 1)) % 0.13/0.40 (step @p147 :rule reordering :premises (@p146) :args ((or @t93 @t96))) % 0.13/0.40 (assume-push @p228 @t92) % 0.13/0.40 (step @p149 :rule instantiate :premises (@p228) :args ((@list @t98))) % 0.13/0.40 (step-pop @p229 :rule scope :premises (@p149)) % 0.13/0.40 (step @p150 :rule process_scope :premises (@p229) :args (@t103)) % 0.13/0.40 (step @p152 :rule implies_elim :premises (@p150)) % 0.13/0.40 (step @p153 :rule cnf_equiv_neg1 :args (@t106)) % 0.13/0.40 (step @p154 :rule reordering :premises (@p153) :args ((or @t95 @t105 @t106))) % 0.13/0.40 (step @p155 :rule cnf_and_pos :args (@t105 0)) % 0.13/0.40 (step @p156 :rule reordering :premises (@p155) :args ((or @t104 @t107))) % 0.13/0.40 (step @p157 :rule refl :args (@t109)) % 0.13/0.40 (step @p158 :rule bool-double-not-elim :args (@t97)) % 0.13/0.40 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t110 @t109))) % 0.13/0.40 (assume-push @p230 @t104) % 0.13/0.40 (step @p161 :rule skolemize :premises (@p230)) % 0.13/0.40 (step-pop @p231 :rule scope :premises (@p161)) % 0.13/0.40 (step @p162 :rule process_scope :premises (@p231) :args (@t109)) % 0.13/0.40 (step @p164 :rule implies_elim :premises (@p162)) % 0.13/0.40 (step @p165 :rule eq_resolve :premises (@p164 @p159)) % 0.13/0.40 (step @p166 :rule bool-double-not-elim :args (@t99)) % 0.13/0.40 (step @p167 :rule refl :args (@t108)) % 0.13/0.40 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t108 (not @t100)))) % 0.13/0.40 (step @p169 :rule cnf_or_neg :args (@t108 0)) % 0.13/0.40 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.13/0.40 (step @p171 :rule reordering :premises (@p170) :args ((or @t99 @t108))) % 0.13/0.40 (step @p172 :rule bool-double-not-elim :args (@t101)) % 0.13/0.40 (step @p173 :rule nary_cong :premises (@p167 @p172) :args ((or @t108 (not @t102)))) % 0.13/0.40 (step @p174 :rule cnf_or_neg :args (@t108 1)) % 0.13/0.40 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.13/0.40 (step @p176 :rule reordering :premises (@p175) :args ((or @t101 @t108))) % 0.13/0.40 (step @p177 :rule cnf_or_pos :args (@t103)) % 0.13/0.40 (step @p178 :rule reordering :premises (@p177) :args ((or @t100 @t102 (not @t103)))) % 0.13/0.40 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p171 @p165 @p156 @p154 @p145 @p152 @p147) :args (@t93 (@list false false true true false true false true) (@list @t101 @t99 @t108 @t97 @t105 @t106 @t103 @t95))) % 0.13/0.40 (step @p180 :rule bool-double-not-elim :args (@t92)) % 0.13/0.40 (step @p181 :rule refl :args (@t111)) % 0.13/0.40 (step @p182 :rule refl :args (@t95)) % 0.13/0.40 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180) :args ((or @t95 @t111 @t112))) % 0.13/0.40 (step @p184 :rule cnf_and_neg :args (@t95)) % 0.13/0.40 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.13/0.40 (step @p186 :rule reordering :premises (@p185) :args ((or @t92 @t95 @t111))) % 0.13/0.40 (step @p187 :rule refl :args (@t119)) % 0.13/0.40 (step @p188 :rule nary_cong :premises (@p180 @p187) :args ((or @t112 @t119))) % 0.13/0.40 (assume-push @p232 @t93) % 0.13/0.40 (step @p190 :rule skolemize :premises (@p232)) % 0.13/0.40 (step-pop @p233 :rule scope :premises (@p190)) % 0.13/0.40 (step @p191 :rule process_scope :premises (@p233) :args (@t119)) % 0.13/0.40 (step @p193 :rule implies_elim :premises (@p191)) % 0.13/0.40 (step @p194 :rule eq_resolve :premises (@p193 @p188)) % 0.13/0.40 (step @p195 :rule cnf_equiv_neg2 :args (@t106)) % 0.13/0.40 (step @p196 :rule bool-double-not-elim :args (@t116)) % 0.13/0.40 (step @p197 :rule refl :args (@t118)) % 0.13/0.40 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t118 (not @t117)))) % 0.13/0.40 (step @p199 :rule cnf_or_neg :args (@t118 0)) % 0.13/0.40 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 0.13/0.40 (step @p201 :rule reordering :premises (@p200) :args ((or @t116 @t118))) % 0.13/0.40 (step @p202 :rule bool-double-not-elim :args (@t114)) % 0.13/0.40 (step @p203 :rule nary_cong :premises (@p197 @p202) :args ((or @t118 (not @t115)))) % 0.13/0.40 (step @p204 :rule cnf_or_neg :args (@t118 1)) % 0.13/0.40 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.13/0.40 (step @p206 :rule reordering :premises (@p205) :args ((or @t114 @t118))) % 0.13/0.40 (step @p207 :rule refl :args (@t105)) % 0.13/0.40 (step @p208 :rule nary_cong :premises (@p207 @p158 @p181) :args ((or @t105 @t110 @t111))) % 0.13/0.40 (step @p209 :rule cnf_and_neg :args (@t105)) % 0.13/0.40 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 0.13/0.40 (step @p211 :rule reordering :premises (@p210) :args ((or @t97 @t105 @t111))) % 0.13/0.40 (step @p212 :rule cnf_or_pos :args (@t120)) % 0.13/0.40 (step @p213 :rule reordering :premises (@p212) :args ((or @t117 @t115 (not @t120)))) % 0.13/0.40 (assume-push @p234 @t97) % 0.13/0.40 (step @p215 :rule instantiate :premises (@p234) :args ((@list @t113))) % 0.13/0.40 (step-pop @p235 :rule scope :premises (@p215)) % 0.13/0.40 (step @p216 :rule process_scope :premises (@p235) :args (@t120)) % 0.13/0.40 (step @p218 :rule implies_elim :premises (@p216)) % 0.13/0.40 (step @p219 :rule chain_m_resolution :premises (@p218 @p213 @p211 @p206 @p201 @p195 @p145 @p194 @p186) :args ((or @t92 @t111) (@list true false false false true true true false) (@list @t120 @t97 @t114 @t116 @t105 @t106 @t118 @t95))) % 0.13/0.40 (step @p220 :rule chain_m_resolution :premises (@p219 @p179) :args (@t111 @t121 (@list @t92))) % 0.13/0.40 (step @p221 :rule cnf_and_pos :args (@t95 0)) % 0.13/0.40 (step @p222 :rule reordering :premises (@p221) :args ((or @t94 @t96))) % 0.13/0.40 (step @p223 :rule chain_m_resolution :premises (@p222 @p220) :args (@t96 @t121 @t122)) % 0.13/0.40 (step @p224 :rule cnf_and_pos :args (@t105 1)) % 0.13/0.40 (step @p225 :rule reordering :premises (@p224) :args ((or @t94 @t107))) % 0.13/0.40 (step @p226 :rule chain_m_resolution :premises (@p225 @p220) :args (@t107 @t121 @t122)) % 0.13/0.40 (step @p227 false :rule chain_m_resolution :premises (@p154 @p226 @p223 @p145) :args (false (@list true true true) (@list @t105 @t95 @t106))) % 0.13/0.40 ) % 0.13/0.40 % SZS output end Proof % 0.13/0.40 % cvc5 exiting %------------------------------------------------------------------------------