%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN549+1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 09:09:22 AM UTC 2026 % Result : Theorem 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN549+1 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n026.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 23:32:10 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.63 % SZS status Theorem % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.initial_world $$unsorted) % 0.46/0.63 (declare-const tptp.p (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.q (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.reachable (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (define @t1 () (@var "X" $$unsorted)) % 0.46/0.63 (define @t2 () (@list @t1)) % 0.46/0.63 (define @t3 () (@var "Z" $$unsorted)) % 0.46/0.63 (define @t4 () (tptp.reachable @t1 @t3)) % 0.46/0.63 (define @t5 () (@var "Y" $$unsorted)) % 0.46/0.63 (define @t6 () (tptp.reachable @t5 @t3)) % 0.46/0.63 (define @t7 () (tptp.reachable @t1 @t5)) % 0.46/0.63 (define @t8 () (and @t7 @t6)) % 0.46/0.63 (define @t9 () (forall (@list @t1 @t5 @t3) (=> @t8 @t4))) % 0.46/0.63 (define @t10 () (@var "W" $$unsorted)) % 0.46/0.63 (define @t11 () (tptp.q @t10)) % 0.46/0.63 (define @t12 () (tptp.reachable @t5 @t10)) % 0.46/0.63 (define @t13 () (and @t12 @t11)) % 0.46/0.63 (define @t14 () (@list @t10)) % 0.46/0.63 (define @t15 () (exists @t14 @t13)) % 0.46/0.63 (define @t16 () (tptp.p @t10)) % 0.46/0.63 (define @t17 () (and @t12 @t16)) % 0.46/0.63 (define @t18 () (exists @t14 @t17)) % 0.46/0.63 (define @t19 () (or @t18 @t15)) % 0.46/0.63 (define @t20 () (@var "V" $$unsorted)) % 0.46/0.63 (define @t21 () (tptp.q @t20)) % 0.46/0.63 (define @t22 () (tptp.reachable @t3 @t20)) % 0.46/0.63 (define @t23 () (and @t22 @t21)) % 0.46/0.63 (define @t24 () (@list @t20)) % 0.46/0.63 (define @t25 () (exists @t24 @t23)) % 0.46/0.63 (define @t26 () (tptp.p @t3)) % 0.46/0.63 (define @t27 () (or @t26 @t25)) % 0.46/0.63 (define @t28 () (and @t6 @t27)) % 0.46/0.63 (define @t29 () (@list @t3)) % 0.46/0.63 (define @t30 () (exists @t29 @t28)) % 0.46/0.63 (define @t31 () (= @t30 @t19)) % 0.46/0.63 (define @t32 () (=> @t7 @t31)) % 0.46/0.63 (define @t33 () (@list @t5)) % 0.46/0.63 (define @t34 () (forall @t33 @t32)) % 0.46/0.63 (define @t35 () (tptp.reachable tptp.initial_world @t1)) % 0.46/0.63 (define @t36 () (and @t35 @t34)) % 0.46/0.63 (define @t37 () (exists @t2 @t36)) % 0.46/0.63 (define @t38 () (not @t37)) % 0.46/0.63 (define @t39 () (not @t16)) % 0.46/0.63 (define @t40 () (not @t11)) % 0.46/0.63 (define @t41 () (not @t12)) % 0.46/0.63 (define @t42 () (@var "BOUND_VARIABLE_7481" $$unsorted)) % 0.46/0.63 (define @t43 () (or (not (tptp.reachable @t3 @t42)) (not (tptp.q @t42)))) % 0.46/0.63 (define @t44 () (not @t26)) % 0.46/0.63 (define @t45 () (and @t44 @t43)) % 0.46/0.63 (define @t46 () (not @t6)) % 0.46/0.63 (define @t47 () (or @t46 @t45)) % 0.46/0.63 (define @t48 () (@list @t3 @t42)) % 0.46/0.63 (define @t49 () (forall @t48 @t47)) % 0.46/0.63 (define @t50 () (= (not @t49) (or (not (forall @t14 (or @t41 @t39))) (not (forall @t14 (or @t41 @t40)))))) % 0.46/0.63 (define @t51 () (forall @t33 (or (not (tptp.reachable tptp.initial_world @t5)) @t50))) % 0.46/0.63 (define @t52 () (@quantifiers_skolemize @t51 0)) % 0.46/0.63 (define @t53 () (not (tptp.reachable @t52 @t10))) % 0.46/0.63 (define @t54 () (forall @t14 (or @t53 @t39))) % 0.46/0.63 (define @t55 () (forall @t14 (or @t53 @t40))) % 0.46/0.63 (define @t56 () (not @t55)) % 0.46/0.63 (define @t57 () (not @t54)) % 0.46/0.63 (define @t58 () (or @t57 @t56)) % 0.46/0.63 (define @t59 () (not @t57)) % 0.46/0.63 (define @t60 () (not @t56)) % 0.46/0.63 (define @t61 () (not @t7)) % 0.46/0.63 (define @t62 () (forall @t33 (or @t61 @t50))) % 0.46/0.63 (define @t63 () (and @t35 @t62)) % 0.46/0.63 (define @t64 () (forall @t2 (not @t63))) % 0.46/0.63 (define @t65 () (not @t64)) % 0.46/0.63 (define @t66 () (forall @t14 (not @t13))) % 0.46/0.63 (define @t67 () (not @t66)) % 0.46/0.63 (define @t68 () (forall @t14 (not @t17))) % 0.46/0.63 (define @t69 () (not @t68)) % 0.46/0.63 (define @t70 () (@list @t42)) % 0.46/0.63 (define @t71 () (forall @t70 @t47)) % 0.46/0.63 (define @t72 () (forall @t70 @t43)) % 0.46/0.63 (define @t73 () (forall @t70 @t44)) % 0.46/0.63 (define @t74 () (and @t73 @t72)) % 0.46/0.63 (define @t75 () (forall @t70 @t45)) % 0.46/0.63 (define @t76 () (or @t46 @t75)) % 0.46/0.63 (define @t77 () (forall @t24 (or (not @t22) (not @t21)))) % 0.46/0.63 (define @t78 () (not @t77)) % 0.46/0.63 (define @t79 () (or @t26 @t78)) % 0.46/0.63 (define @t80 () (and @t6 @t79)) % 0.46/0.63 (define @t81 () (forall @t29 (not @t80))) % 0.46/0.63 (define @t82 () (not @t81)) % 0.46/0.63 (define @t83 () (forall @t24 (not @t23))) % 0.46/0.63 (define @t84 () (not @t83)) % 0.46/0.63 (define @t85 () (@list tptp.initial_world)) % 0.46/0.63 (define @t86 () (not @t51)) % 0.46/0.63 (define @t87 () (tptp.reachable tptp.initial_world tptp.initial_world)) % 0.46/0.63 (define @t88 () (not @t87)) % 0.46/0.63 (define @t89 () (or @t88 @t86)) % 0.46/0.63 (define @t90 () (@list false false)) % 0.46/0.63 (define @t91 () (forall @t48 (or (not (tptp.reachable @t52 @t3)) @t45))) % 0.46/0.63 (define @t92 () (not @t91)) % 0.46/0.63 (define @t93 () (= @t92 @t58)) % 0.46/0.63 (define @t94 () (or (not (tptp.reachable tptp.initial_world @t52)) @t93)) % 0.46/0.63 (define @t95 () (@list true)) % 0.46/0.63 (define @t96 () (@quantifiers_skolemize @t91 0)) % 0.46/0.63 (define @t97 () (tptp.p @t96)) % 0.46/0.63 (define @t98 () (not @t97)) % 0.46/0.63 (define @t99 () (tptp.reachable @t52 @t96)) % 0.46/0.63 (define @t100 () (not @t99)) % 0.46/0.63 (define @t101 () (or @t100 @t98)) % 0.46/0.63 (define @t102 () (@quantifiers_skolemize @t91 1)) % 0.46/0.63 (define @t103 () (tptp.q @t102)) % 0.46/0.63 (define @t104 () (not @t103)) % 0.46/0.63 (define @t105 () (tptp.reachable @t52 @t102)) % 0.46/0.63 (define @t106 () (not @t105)) % 0.46/0.63 (define @t107 () (or @t106 @t104)) % 0.46/0.63 (define @t108 () (tptp.reachable @t96 @t102)) % 0.46/0.63 (define @t109 () (not @t108)) % 0.46/0.63 (define @t110 () (or @t109 @t104)) % 0.46/0.63 (define @t111 () (and @t98 @t110)) % 0.46/0.63 (define @t112 () (or @t100 @t111)) % 0.46/0.63 (define @t113 () (not @t112)) % 0.46/0.63 (define @t114 () (not @t92)) % 0.46/0.63 (define @t115 () (not @t110)) % 0.46/0.63 (define @t116 () (or @t100 @t109 @t105)) % 0.46/0.63 (define @t117 () (not @t58)) % 0.46/0.63 (define @t118 () (@quantifiers_skolemize @t55 0)) % 0.46/0.63 (define @t119 () (or (not (tptp.reachable @t52 @t118)) (not (tptp.q @t118)))) % 0.46/0.63 (define @t120 () (and (not (tptp.p @t52)) @t119)) % 0.46/0.63 (define @t121 () (tptp.reachable @t52 @t52)) % 0.46/0.63 (define @t122 () (not @t121)) % 0.46/0.63 (define @t123 () (or @t122 @t120)) % 0.46/0.63 (define @t124 () (@list false)) % 0.46/0.63 (define @t125 () (@list @t91)) % 0.46/0.63 (define @t126 () (not @t119)) % 0.46/0.63 (define @t127 () (@quantifiers_skolemize @t54 0)) % 0.46/0.63 (define @t128 () (tptp.p @t127)) % 0.46/0.63 (define @t129 () (not @t128)) % 0.46/0.63 (define @t130 () (tptp.reachable @t52 @t127)) % 0.46/0.63 (define @t131 () (not @t130)) % 0.46/0.63 (define @t132 () (or @t131 @t129)) % 0.46/0.63 (define @t133 () (not @t132)) % 0.46/0.63 (define @t134 () (@list @t132)) % 0.46/0.63 (define @t135 () (and @t129 (or (not (tptp.reachable @t127 tptp.initial_world)) (not (tptp.q tptp.initial_world))))) % 0.46/0.63 (define @t136 () (or @t131 @t135)) % 0.46/0.63 (assume @p1 (forall @t2 (tptp.reachable @t1 @t1))) % 0.46/0.63 (assume @p2 @t9) % 0.46/0.63 (assume @p3 @t38) % 0.46/0.63 (assume @p4 true) % 0.46/0.63 (step @p5 :rule bool-double-not-elim :args (@t54)) % 0.46/0.63 (step @p6 :rule refl :args (@t58)) % 0.46/0.63 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t58 @t59))) % 0.46/0.63 (step @p8 :rule cnf_or_neg :args (@t58 0)) % 0.46/0.63 (step @p9 :rule eq_resolve :premises (@p8 @p7)) % 0.46/0.63 (step @p10 :rule reordering :premises (@p9) :args ((or @t54 @t58))) % 0.46/0.63 (step @p11 :rule bool-double-not-elim :args (@t55)) % 0.46/0.63 (step @p12 :rule nary_cong :premises (@p6 @p11) :args ((or @t58 @t60))) % 0.46/0.63 (step @p13 :rule cnf_or_neg :args (@t58 1)) % 0.46/0.63 (step @p14 :rule eq_resolve :premises (@p13 @p12)) % 0.46/0.63 (step @p15 :rule reordering :premises (@p14) :args ((or @t55 @t58))) % 0.46/0.63 (step @p16 :rule bool-double-not-elim :args ((forall @t2 (or (not @t35) (not @t62))))) % 0.46/0.63 (step @p17 :rule bool-and-de-morgan :args (@t35 @t62 true)) % 0.46/0.63 (step @p18 :rule cong :premises (@p17) :args (@t64)) % 0.46/0.63 (step @p19 :rule cong :premises (@p18) :args (@t65)) % 0.46/0.63 (step @p20 :rule exists-elim :args ((= (exists @t2 @t63) @t65))) % 0.46/0.63 (step @p21 :rule trans :premises (@p20 @p19)) % 0.46/0.63 (step @p22 :rule bool-impl-elim :args (@t7 @t50)) % 0.46/0.63 (step @p23 :rule cong :premises (@p22) :args ((forall @t33 (=> @t7 @t50)))) % 0.46/0.63 (step @p24 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.46/0.63 (step @p25 :rule cong :premises (@p24) :args (@t66)) % 0.46/0.63 (step @p26 :rule cong :premises (@p25) :args (@t67)) % 0.46/0.63 (step @p27 :rule exists-elim :args ((= @t15 @t67))) % 0.46/0.63 (step @p28 :rule trans :premises (@p27 @p26)) % 0.46/0.63 (step @p29 :rule bool-and-de-morgan :args (@t12 @t16 true)) % 0.46/0.63 (step @p30 :rule cong :premises (@p29) :args (@t68)) % 0.46/0.63 (step @p31 :rule cong :premises (@p30) :args (@t69)) % 0.46/0.63 (step @p32 :rule exists-elim :args ((= @t18 @t69))) % 0.46/0.63 (step @p33 :rule trans :premises (@p32 @p31)) % 0.46/0.63 (step @p34 :rule nary_cong :premises (@p33 @p28) :args (@t19)) % 0.46/0.63 (step @p35 :rule quant-merge-prenex :args ((= (forall @t29 @t71) @t49))) % 0.46/0.63 (step @p36 :rule alpha_equiv :args (@t72 (@list @t42) (@list @t20))) % 0.46/0.63 (step @p37 :rule quant-unused-vars :args ((= @t73 @t44))) % 0.46/0.63 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t74)) % 0.46/0.63 (step @p39 :rule quant-miniscope-and :args ((= @t75 @t74))) % 0.46/0.63 (step @p40 :rule trans :premises (@p39 @p38)) % 0.46/0.63 (step @p41 :rule refl :args (@t46)) % 0.46/0.63 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t76)) % 0.46/0.63 (step @p43 :rule quant-miniscope-or :args ((= @t71 @t76))) % 0.46/0.63 (step @p44 :rule trans :premises (@p43 @p42)) % 0.46/0.63 (step @p45 :rule symm :premises (@p44)) % 0.46/0.63 (step @p46 :rule cong :premises (@p45) :args ((forall @t29 (or @t46 (and @t44 @t77))))) % 0.46/0.63 (step @p47 :rule trans :premises (@p46 @p35)) % 0.46/0.63 (step @p48 :rule bool-double-not-elim :args (@t77)) % 0.46/0.63 (step @p49 :rule refl :args (@t44)) % 0.46/0.63 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((and @t44 (not @t78)))) % 0.46/0.63 (step @p51 :rule bool-or-de-morgan :args (@t26 @t78 false)) % 0.46/0.63 (step @p52 :rule trans :premises (@p51 @p50)) % 0.46/0.63 (step @p53 :rule nary_cong :premises (@p41 @p52) :args ((or @t46 (not @t79)))) % 0.46/0.63 (step @p54 :rule bool-and-de-morgan :args (@t6 @t79 true)) % 0.46/0.63 (step @p55 :rule trans :premises (@p54 @p53)) % 0.46/0.63 (step @p56 :rule cong :premises (@p55) :args (@t81)) % 0.46/0.63 (step @p57 :rule trans :premises (@p56 @p47)) % 0.46/0.63 (step @p58 :rule cong :premises (@p57) :args (@t82)) % 0.46/0.63 (step @p59 :rule exists-elim :args ((= (exists @t29 @t80) @t82))) % 0.46/0.63 (step @p60 :rule trans :premises (@p59 @p58)) % 0.46/0.63 (step @p61 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.46/0.63 (step @p62 :rule cong :premises (@p61) :args (@t83)) % 0.46/0.63 (step @p63 :rule cong :premises (@p62) :args (@t84)) % 0.46/0.63 (step @p64 :rule exists-elim :args ((= @t25 @t84))) % 0.46/0.63 (step @p65 :rule trans :premises (@p64 @p63)) % 0.46/0.63 (step @p66 :rule refl :args (@t26)) % 0.46/0.63 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t27)) % 0.46/0.63 (step @p68 :rule refl :args (@t6)) % 0.46/0.63 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t28)) % 0.46/0.63 (step @p70 :rule cong :premises (@p69) :args (@t30)) % 0.46/0.63 (step @p71 :rule trans :premises (@p70 @p60)) % 0.46/0.63 (step @p72 :rule cong :premises (@p71 @p34) :args (@t31)) % 0.46/0.63 (step @p73 :rule refl :args (@t7)) % 0.46/0.63 (step @p74 :rule cong :premises (@p73 @p72) :args (@t32)) % 0.46/0.63 (step @p75 :rule cong :premises (@p74) :args (@t34)) % 0.46/0.63 (step @p76 :rule trans :premises (@p75 @p23)) % 0.46/0.63 (step @p77 :rule refl :args (@t35)) % 0.46/0.63 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t36)) % 0.46/0.63 (step @p79 :rule cong :premises (@p78) :args (@t37)) % 0.46/0.63 (step @p80 :rule trans :premises (@p79 @p21)) % 0.46/0.63 (step @p81 :rule cong :premises (@p80) :args (@t38)) % 0.46/0.63 (step @p82 :rule trans :premises (@p81 @p16)) % 0.46/0.63 (step @p83 :rule eq_resolve :premises (@p3 @p82)) % 0.46/0.63 (step @p84 :rule instantiate :premises (@p83) :args (@t85)) % 0.46/0.63 (step @p85 :rule instantiate :premises (@p1) :args (@t85)) % 0.46/0.63 (step @p86 :rule cnf_or_pos :args (@t89)) % 0.46/0.63 (step @p87 :rule reordering :premises (@p86) :args ((or @t88 @t86 (not @t89)))) % 0.46/0.63 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p84) :args (@t86 @t90 (@list @t87 @t89))) % 0.46/0.63 (step @p89 :rule skolemize :premises (@p88)) % 0.46/0.63 (step @p90 :rule cnf_or_neg :args (@t94 1)) % 0.46/0.63 (step @p91 :rule chain_m_resolution :premises (@p90 @p89) :args ((not @t93) @t95 (@list @t94))) % 0.46/0.63 (step @p92 :rule cnf_equiv_neg1 :args (@t93)) % 0.46/0.63 (step @p93 :rule reordering :premises (@p92) :args ((or @t92 @t58 @t93))) % 0.46/0.63 (assume-push @p221 @t54) % 0.46/0.63 (step @p95 :rule instantiate :premises (@p221) :args ((@list @t96))) % 0.46/0.63 (step-pop @p222 :rule scope :premises (@p95)) % 0.46/0.63 (step @p96 :rule process_scope :premises (@p222) :args (@t101)) % 0.46/0.63 (step @p98 :rule implies_elim :premises (@p96)) % 0.46/0.63 (assume-push @p223 @t55) % 0.46/0.63 (step @p100 :rule instantiate :premises (@p223) :args ((@list @t102))) % 0.46/0.63 (step-pop @p224 :rule scope :premises (@p100)) % 0.46/0.63 (step @p101 :rule process_scope :premises (@p224) :args (@t107)) % 0.46/0.63 (step @p103 :rule implies_elim :premises (@p101)) % 0.46/0.63 (step @p104 :rule refl :args (@t113)) % 0.46/0.63 (step @p105 :rule bool-double-not-elim :args (@t91)) % 0.46/0.63 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t114 @t113))) % 0.46/0.63 (assume-push @p225 @t92) % 0.46/0.63 (step @p108 :rule skolemize :premises (@p225)) % 0.46/0.63 (step-pop @p226 :rule scope :premises (@p108)) % 0.46/0.63 (step @p109 :rule process_scope :premises (@p226) :args (@t113)) % 0.46/0.63 (step @p111 :rule implies_elim :premises (@p109)) % 0.46/0.63 (step @p112 :rule eq_resolve :premises (@p111 @p106)) % 0.46/0.63 (step @p113 :rule bool-double-not-elim :args (@t99)) % 0.46/0.63 (step @p114 :rule refl :args (@t112)) % 0.46/0.63 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t112 (not @t100)))) % 0.46/0.63 (step @p116 :rule cnf_or_neg :args (@t112 0)) % 0.46/0.63 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.46/0.63 (step @p118 :rule reordering :premises (@p117) :args ((or @t99 @t112))) % 0.46/0.63 (step @p119 :rule cnf_or_neg :args (@t112 1)) % 0.46/0.63 (step @p120 :rule cnf_or_pos :args (@t101)) % 0.46/0.63 (step @p121 :rule reordering :premises (@p120) :args ((or @t100 @t98 (not @t101)))) % 0.46/0.63 (step @p122 :rule refl :args (@t115)) % 0.46/0.63 (step @p123 :rule bool-double-not-elim :args (@t97)) % 0.46/0.63 (step @p124 :rule refl :args (@t111)) % 0.46/0.63 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122) :args ((or @t111 (not @t98) @t115))) % 0.46/0.63 (step @p126 :rule cnf_and_neg :args (@t111)) % 0.46/0.63 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.46/0.63 (step @p128 :rule reordering :premises (@p127) :args ((or @t97 @t111 @t115))) % 0.46/0.63 (step @p129 :rule bool-double-not-elim :args (@t108)) % 0.46/0.63 (step @p130 :rule refl :args (@t110)) % 0.46/0.63 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t110 (not @t109)))) % 0.46/0.63 (step @p132 :rule cnf_or_neg :args (@t110 0)) % 0.46/0.63 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.46/0.63 (step @p134 :rule reordering :premises (@p133) :args ((or @t108 @t110))) % 0.46/0.63 (step @p135 :rule bool-double-not-elim :args (@t103)) % 0.46/0.63 (step @p136 :rule nary_cong :premises (@p130 @p135) :args ((or @t110 (not @t104)))) % 0.46/0.63 (step @p137 :rule cnf_or_neg :args (@t110 1)) % 0.46/0.63 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.46/0.63 (step @p139 :rule reordering :premises (@p138) :args ((or @t103 @t110))) % 0.46/0.63 (step @p140 :rule aci_norm :args ((= (or (or @t61 @t46) @t4) (or @t61 @t46 @t4)))) % 0.46/0.63 (step @p141 :rule refl :args (@t4)) % 0.46/0.63 (step @p142 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.46/0.63 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or (not @t8) @t4))) % 0.46/0.63 (step @p144 :rule trans :premises (@p143 @p140)) % 0.46/0.63 (step @p145 :rule bool-impl-elim :args (@t8 @t4)) % 0.46/0.63 (step @p146 :rule trans :premises (@p145 @p144)) % 0.46/0.63 (step @p147 :rule cong :premises (@p146) :args (@t9)) % 0.46/0.63 (step @p148 :rule eq_resolve :premises (@p2 @p147)) % 0.46/0.63 (step @p149 :rule instantiate :premises (@p148) :args ((@list @t52 @t96 @t102))) % 0.46/0.63 (step @p150 :rule cnf_or_pos :args (@t116)) % 0.46/0.63 (step @p151 :rule reordering :premises (@p150) :args ((or @t100 @t109 @t105 (not @t116)))) % 0.46/0.63 (step @p152 :rule cnf_or_pos :args (@t107)) % 0.46/0.63 (step @p153 :rule reordering :premises (@p152) :args ((or @t104 @t106 (not @t107)))) % 0.46/0.63 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p149 @p139 @p134 @p128 @p121 @p119 @p118 @p112 @p103 @p98 @p93 @p91 @p15 @p10) :args (@t58 (@list false false false false true true true false true false false true true false false) (@list @t105 @t116 @t103 @t108 @t110 @t97 @t111 @t99 @t112 @t107 @t101 @t91 @t93 @t55 @t54))) % 0.46/0.63 (step @p155 :rule refl :args (@t117)) % 0.46/0.63 (step @p156 :rule refl :args (@t93)) % 0.46/0.63 (step @p157 :rule nary_cong :premises (@p156 @p105 @p155) :args ((or @t93 @t114 @t117))) % 0.46/0.63 (step @p158 :rule cnf_equiv_neg2 :args (@t93)) % 0.46/0.63 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.46/0.63 (step @p160 :rule reordering :premises (@p159) :args ((or @t91 @t93 @t117))) % 0.46/0.63 (step @p161 :rule chain_m_resolution :premises (@p160 @p91 @p154) :args (@t91 (@list true false) (@list @t93 @t58))) % 0.46/0.63 (assume-push @p227 @t91) % 0.46/0.63 (step @p163 :rule instantiate :premises (@p227) :args ((@list @t52 @t118))) % 0.46/0.63 (step-pop @p228 :rule scope :premises (@p163)) % 0.46/0.63 (step @p164 :rule process_scope :premises (@p228) :args (@t123)) % 0.46/0.63 (step @p166 :rule implies_elim :premises (@p164)) % 0.46/0.63 (step @p167 :rule chain_m_resolution :premises (@p166 @p161) :args (@t123 @t124 @t125)) % 0.46/0.63 (step @p168 :rule instantiate :premises (@p1) :args ((@list @t52))) % 0.46/0.63 (step @p169 :rule cnf_or_pos :args (@t123)) % 0.46/0.63 (step @p170 :rule reordering :premises (@p169) :args ((or @t122 @t120 (not @t123)))) % 0.46/0.63 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p167) :args (@t120 @t90 (@list @t121 @t123))) % 0.46/0.63 (step @p172 :rule cnf_and_pos :args (@t120 1)) % 0.46/0.63 (step @p173 :rule reordering :premises (@p172) :args ((or @t119 (not @t120)))) % 0.46/0.63 (step @p174 :rule chain_m_resolution :premises (@p173 @p171) :args (@t119 @t124 (@list @t120))) % 0.46/0.63 (step @p175 :rule refl :args (@t126)) % 0.46/0.63 (step @p176 :rule nary_cong :premises (@p11 @p175) :args ((or @t60 @t126))) % 0.46/0.63 (assume-push @p229 @t56) % 0.46/0.63 (step @p178 :rule skolemize :premises (@p229)) % 0.46/0.63 (step-pop @p230 :rule scope :premises (@p178)) % 0.46/0.63 (step @p179 :rule process_scope :premises (@p230) :args (@t126)) % 0.46/0.63 (step @p181 :rule implies_elim :premises (@p179)) % 0.46/0.63 (step @p182 :rule eq_resolve :premises (@p181 @p176)) % 0.46/0.63 (step @p183 :rule chain_m_resolution :premises (@p182 @p174) :args (@t55 @t124 (@list @t119))) % 0.46/0.63 (step @p184 :rule cnf_or_pos :args (@t58)) % 0.46/0.63 (step @p185 :rule reordering :premises (@p184) :args ((or @t57 @t56 @t117))) % 0.46/0.63 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p154) :args (@t57 @t90 (@list @t55 @t58))) % 0.46/0.63 (step @p187 :rule refl :args (@t133)) % 0.46/0.63 (step @p188 :rule nary_cong :premises (@p5 @p187) :args ((or @t59 @t133))) % 0.46/0.63 (assume-push @p231 @t57) % 0.46/0.63 (step @p190 :rule skolemize :premises (@p231)) % 0.46/0.63 (step-pop @p232 :rule scope :premises (@p190)) % 0.46/0.63 (step @p191 :rule process_scope :premises (@p232) :args (@t133)) % 0.46/0.63 (step @p193 :rule implies_elim :premises (@p191)) % 0.46/0.63 (step @p194 :rule eq_resolve :premises (@p193 @p188)) % 0.46/0.63 (step @p195 :rule chain_m_resolution :premises (@p194 @p186) :args (@t133 @t95 (@list @t54))) % 0.46/0.63 (step @p196 :rule bool-double-not-elim :args (@t128)) % 0.46/0.63 (step @p197 :rule refl :args (@t132)) % 0.46/0.63 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t132 (not @t129)))) % 0.46/0.63 (step @p199 :rule cnf_or_neg :args (@t132 1)) % 0.46/0.63 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 0.46/0.63 (step @p201 :rule reordering :premises (@p200) :args ((or @t128 @t132))) % 0.46/0.63 (step @p202 :rule chain_m_resolution :premises (@p201 @p195) :args (@t128 @t95 @t134)) % 0.46/0.63 (assume-push @p233 @t91) % 0.46/0.63 (step @p204 :rule instantiate :premises (@p233) :args ((@list @t127 tptp.initial_world))) % 0.46/0.63 (step-pop @p234 :rule scope :premises (@p204)) % 0.46/0.63 (step @p205 :rule process_scope :premises (@p234) :args (@t136)) % 0.46/0.63 (step @p207 :rule implies_elim :premises (@p205)) % 0.46/0.63 (step @p208 :rule chain_m_resolution :premises (@p207 @p161) :args (@t136 @t124 @t125)) % 0.46/0.63 (step @p209 :rule bool-double-not-elim :args (@t130)) % 0.46/0.63 (step @p210 :rule nary_cong :premises (@p197 @p209) :args ((or @t132 (not @t131)))) % 0.46/0.63 (step @p211 :rule cnf_or_neg :args (@t132 0)) % 0.46/0.63 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.46/0.63 (step @p213 :rule reordering :premises (@p212) :args ((or @t130 @t132))) % 0.46/0.63 (step @p214 :rule chain_m_resolution :premises (@p213 @p195) :args (@t130 @t95 @t134)) % 0.46/0.63 (step @p215 :rule cnf_or_pos :args (@t136)) % 0.46/0.63 (step @p216 :rule reordering :premises (@p215) :args ((or @t131 @t135 (not @t136)))) % 0.46/0.63 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p208) :args (@t135 @t90 (@list @t130 @t136))) % 0.46/0.63 (step @p218 :rule cnf_and_pos :args (@t135 0)) % 0.46/0.63 (step @p219 :rule reordering :premises (@p218) :args ((or @t129 (not @t135)))) % 0.46/0.63 (step @p220 false :rule chain_m_resolution :premises (@p219 @p217 @p202) :args (false @t90 (@list @t135 @t128))) % 0.46/0.63 ) % 0.46/0.63 % SZS output end Proof % 0.46/0.63 % cvc5 exiting %------------------------------------------------------------------------------