%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO223^5 : 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 : n027.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 09:12:16 AM UTC 2026 % Result : Theorem 0.41s 0.63s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYO223^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n027.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:01:21 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TH0 % 0.41/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.63 % SZS status Theorem % 0.41/0.63 % SZS output start Proof % 0.41/0.63 ( % 0.41/0.63 (declare-sort $$unsorted 0) % 0.41/0.63 (declare-const tptp.cP $$unsorted) % 0.41/0.63 (declare-const tptp.cS $$unsorted) % 0.41/0.63 (declare-const tptp.cUNIQUE (-> $$unsorted Bool)) % 0.41/0.63 (declare-const tptp.cLIKE (-> $$unsorted $$unsorted Bool)) % 0.41/0.63 (declare-const tptp.cJ $$unsorted) % 0.41/0.63 (define @t1 () (@var "X" $$unsorted)) % 0.41/0.63 (define @t2 () (_ (_ tptp.cLIKE tptp.cJ) @t1)) % 0.41/0.63 (define @t3 () (_ tptp.cUNIQUE @t1)) % 0.41/0.63 (define @t4 () (and @t3 @t2)) % 0.41/0.63 (define @t5 () (@list @t1)) % 0.41/0.63 (define @t6 () (exists @t5 @t4)) % 0.41/0.63 (define @t7 () (@var "Xan" (-> $$unsorted Bool))) % 0.41/0.63 (define @t8 () (_ @t7 tptp.cJ)) % 0.41/0.63 (define @t9 () (= @t8 @t6)) % 0.41/0.63 (define @t10 () (_ (_ tptp.cLIKE tptp.cP) tptp.cS)) % 0.41/0.63 (define @t11 () (_ @t7 tptp.cP)) % 0.41/0.63 (define @t12 () (= @t11 @t10)) % 0.41/0.63 (define @t13 () (and @t12 @t9)) % 0.41/0.63 (define @t14 () (@list @t7)) % 0.41/0.63 (define @t15 () (exists @t14 @t13)) % 0.41/0.63 (define @t16 () (_ tptp.cUNIQUE tptp.cS)) % 0.41/0.63 (define @t17 () (@var "Z" $$unsorted)) % 0.41/0.63 (define @t18 () (forall (@list @t17) (= @t1 @t17))) % 0.41/0.63 (define @t19 () (forall @t5 (=> @t3 @t18))) % 0.41/0.63 (define @t20 () (and @t19 @t16)) % 0.41/0.63 (define @t21 () (=> @t20 @t15)) % 0.41/0.63 (define @t22 () (not @t21)) % 0.41/0.63 (define @t23 () (_ @t7 tptp.cJ)) % 0.41/0.63 (define @t24 () (tptp.cLIKE tptp.cJ @t1)) % 0.41/0.63 (define @t25 () (tptp.cUNIQUE @t1)) % 0.41/0.63 (define @t26 () (not @t25)) % 0.41/0.63 (define @t27 () (forall @t5 (or @t26 (not @t24)))) % 0.41/0.63 (define @t28 () (not @t27)) % 0.41/0.63 (define @t29 () (_ @t7 tptp.cP)) % 0.41/0.63 (define @t30 () (tptp.cLIKE tptp.cP tptp.cS)) % 0.41/0.63 (define @t31 () (forall @t14 (or (= @t30 (not @t29)) (= @t28 (not @t23))))) % 0.41/0.63 (define @t32 () (not @t31)) % 0.41/0.63 (define @t33 () (tptp.cUNIQUE tptp.cS)) % 0.41/0.63 (define @t34 () (@var "BOUND_VARIABLE_7447" $$unsorted)) % 0.41/0.63 (define @t35 () (= @t1 @t34)) % 0.41/0.63 (define @t36 () (or @t26 @t35)) % 0.41/0.63 (define @t37 () (forall (@list @t1 @t34) @t36)) % 0.41/0.63 (define @t38 () (and @t37 @t16)) % 0.41/0.63 (define @t39 () (=> @t38 @t32)) % 0.41/0.63 (define @t40 () (not @t8)) % 0.41/0.63 (define @t41 () (= @t28 @t40)) % 0.41/0.63 (define @t42 () (not @t11)) % 0.41/0.63 (define @t43 () (= @t10 @t42)) % 0.41/0.63 (define @t44 () (or @t43 @t41)) % 0.41/0.63 (define @t45 () (or (= @t42 @t10) (= @t40 @t28))) % 0.41/0.63 (define @t46 () (= @t8 @t28)) % 0.41/0.63 (define @t47 () (and @t12 @t46)) % 0.41/0.63 (define @t48 () (forall @t14 (not @t47))) % 0.41/0.63 (define @t49 () (not @t48)) % 0.41/0.63 (define @t50 () (not @t2)) % 0.41/0.63 (define @t51 () (not @t3)) % 0.41/0.63 (define @t52 () (or @t51 @t50)) % 0.41/0.63 (define @t53 () (forall @t5 (not @t4))) % 0.41/0.63 (define @t54 () (not @t53)) % 0.41/0.63 (define @t55 () (@list @t34)) % 0.41/0.63 (define @t56 () (forall @t55 @t36)) % 0.41/0.63 (define @t57 () (forall @t55 @t35)) % 0.41/0.63 (define @t58 () (or @t26 @t57)) % 0.41/0.63 (define @t59 () (or @t51 @t18)) % 0.41/0.63 (define @t60 () (= tptp.cS tptp.cP)) % 0.41/0.63 (define @t61 () (not @t33)) % 0.41/0.63 (define @t62 () (or @t61 @t60)) % 0.41/0.63 (define @t63 () (@list false false)) % 0.41/0.63 (define @t64 () (or @t61 (= tptp.cS tptp.cJ))) % 0.41/0.63 (define @t65 () (= tptp.cJ tptp.cS)) % 0.41/0.63 (define @t66 () (or @t61 @t65)) % 0.41/0.63 (define @t67 () (@list false)) % 0.41/0.63 (define @t68 () (@list @t37)) % 0.41/0.63 (define @t69 () (tptp.cUNIQUE tptp.cP)) % 0.41/0.63 (define @t70 () (not @t69)) % 0.41/0.63 (define @t71 () (= @t30 @t70)) % 0.41/0.63 (define @t72 () (not @t30)) % 0.41/0.63 (define @t73 () (tptp.cUNIQUE tptp.cJ)) % 0.41/0.63 (define @t74 () (not @t73)) % 0.41/0.63 (define @t75 () (= @t28 @t74)) % 0.41/0.63 (define @t76 () (or @t71 @t75)) % 0.41/0.63 (define @t77 () (not @t75)) % 0.41/0.63 (define @t78 () (not @t28)) % 0.41/0.63 (define @t79 () (tptp.cLIKE tptp.cJ tptp.cS)) % 0.41/0.63 (define @t80 () (not @t79)) % 0.41/0.63 (define @t81 () (or @t61 @t80)) % 0.41/0.63 (define @t82 () (not @t65)) % 0.41/0.63 (define @t83 () (not @t60)) % 0.41/0.63 (define @t84 () (= true false)) % 0.41/0.63 (define @t85 () (and @t80 @t65 @t60 @t30)) % 0.41/0.63 (define @t86 () (lambda (@list (@var "BOUND_VARIABLE_21616" $$unsorted)) false)) % 0.41/0.63 (define @t87 () (_ @t86 tptp.cJ)) % 0.41/0.63 (define @t88 () (not @t87)) % 0.41/0.63 (define @t89 () (= @t28 @t88)) % 0.41/0.63 (define @t90 () (_ @t86 tptp.cP)) % 0.41/0.63 (define @t91 () (not @t90)) % 0.41/0.63 (define @t92 () (= @t30 @t91)) % 0.41/0.63 (define @t93 () (or @t92 @t89)) % 0.41/0.63 (define @t94 () (or @t30 @t28)) % 0.41/0.63 (define @t95 () (@quantifiers_skolemize @t27 0)) % 0.41/0.63 (define @t96 () (tptp.cLIKE tptp.cJ @t95)) % 0.41/0.63 (define @t97 () (not @t96)) % 0.41/0.63 (define @t98 () (tptp.cUNIQUE @t95)) % 0.41/0.63 (define @t99 () (not @t98)) % 0.41/0.63 (define @t100 () (or @t99 @t97)) % 0.41/0.63 (define @t101 () (not @t100)) % 0.41/0.63 (define @t102 () (@list true)) % 0.41/0.63 (define @t103 () (@list @t100)) % 0.41/0.63 (define @t104 () (or @t99 (= @t95 tptp.cS))) % 0.41/0.63 (define @t105 () (= tptp.cS @t95)) % 0.41/0.63 (define @t106 () (or @t99 @t105)) % 0.41/0.63 (define @t107 () (not @t105)) % 0.41/0.63 (define @t108 () (and @t72 @t60 @t65 @t105 @t96)) % 0.41/0.63 (assume @p1 @t22) % 0.41/0.63 (assume @p2 true) % 0.41/0.63 (step @p3 :rule refl :args (@t32)) % 0.41/0.63 (step @p4 :rule refl :args (@t33)) % 0.41/0.63 (step @p5 :rule refl :args (@t16)) % 0.41/0.63 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t16 @t33))) % 0.41/0.63 (step @p7 :rule symm :premises (@p6)) % 0.41/0.63 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.41/0.63 (step @p9 :rule refl :args (@t37)) % 0.41/0.63 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t38)) % 0.41/0.63 (step @p11 :rule cong :premises (@p10 @p3) :args (@t39)) % 0.41/0.63 (step @p12 :rule cong :premises (@p11) :args ((not @t39))) % 0.41/0.63 (step @p13 :rule refl :args (@t23)) % 0.41/0.63 (step @p14 :rule refl :args (@t8)) % 0.41/0.63 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t8 @t23))) % 0.41/0.63 (step @p16 :rule symm :premises (@p15)) % 0.41/0.63 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.41/0.63 (step @p18 :rule cong :premises (@p17) :args (@t40)) % 0.41/0.63 (step @p19 :rule refl :args (@t28)) % 0.41/0.63 (step @p20 :rule cong :premises (@p19 @p18) :args (@t41)) % 0.41/0.63 (step @p21 :rule refl :args (@t29)) % 0.41/0.63 (step @p22 :rule refl :args (@t11)) % 0.41/0.63 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t11 @t29))) % 0.41/0.63 (step @p24 :rule symm :premises (@p23)) % 0.41/0.63 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.41/0.63 (step @p26 :rule cong :premises (@p25) :args (@t42)) % 0.41/0.63 (step @p27 :rule refl :args (@t30)) % 0.41/0.63 (step @p28 :rule refl :args (@t10)) % 0.41/0.63 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t10 @t30))) % 0.41/0.63 (step @p30 :rule symm :premises (@p29)) % 0.41/0.63 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.41/0.63 (step @p32 :rule cong :premises (@p31 @p26) :args (@t43)) % 0.41/0.63 (step @p33 :rule nary_cong :premises (@p32 @p20) :args (@t44)) % 0.41/0.63 (step @p34 :rule cong :premises (@p33) :args ((forall @t14 @t44))) % 0.41/0.63 (step @p35 :rule eq-symm :args (@t40 @t28)) % 0.41/0.63 (step @p36 :rule eq-symm :args (@t42 @t10)) % 0.41/0.63 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t45)) % 0.41/0.63 (step @p38 :rule cong :premises (@p37) :args ((forall @t14 @t45))) % 0.41/0.63 (step @p39 :rule trans :premises (@p38 @p34)) % 0.41/0.63 (step @p40 :rule bool-not-eq-elim1 :args (@t8 @t28)) % 0.41/0.63 (step @p41 :rule bool-not-eq-elim1 :args (@t11 @t10)) % 0.41/0.63 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t12) (not @t46)))) % 0.41/0.63 (step @p43 :rule bool-and-de-morgan :args (@t12 @t46 true)) % 0.41/0.63 (step @p44 :rule trans :premises (@p43 @p42)) % 0.41/0.63 (step @p45 :rule cong :premises (@p44) :args (@t48)) % 0.41/0.63 (step @p46 :rule trans :premises (@p45 @p39)) % 0.41/0.63 (step @p47 :rule cong :premises (@p46) :args (@t49)) % 0.41/0.63 (step @p48 :rule exists-elim :args ((= (exists @t14 @t47) @t49))) % 0.41/0.63 (step @p49 :rule trans :premises (@p48 @p47)) % 0.41/0.63 (step @p50 :rule refl :args (@t24)) % 0.41/0.63 (step @p51 :rule refl :args (@t2)) % 0.41/0.63 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t2 @t24))) % 0.41/0.63 (step @p53 :rule symm :premises (@p52)) % 0.41/0.63 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.41/0.63 (step @p55 :rule cong :premises (@p54) :args (@t50)) % 0.41/0.63 (step @p56 :rule refl :args (@t25)) % 0.41/0.63 (step @p57 :rule refl :args (@t3)) % 0.41/0.63 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t3 @t25))) % 0.41/0.63 (step @p59 :rule symm :premises (@p58)) % 0.41/0.63 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.41/0.63 (step @p61 :rule cong :premises (@p60) :args (@t51)) % 0.41/0.63 (step @p62 :rule nary_cong :premises (@p61 @p55) :args (@t52)) % 0.41/0.63 (step @p63 :rule cong :premises (@p62) :args ((forall @t5 @t52))) % 0.41/0.63 (step @p64 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.41/0.63 (step @p65 :rule cong :premises (@p64) :args (@t53)) % 0.41/0.63 (step @p66 :rule trans :premises (@p65 @p63)) % 0.41/0.63 (step @p67 :rule cong :premises (@p66) :args (@t54)) % 0.41/0.63 (step @p68 :rule exists-elim :args ((= @t6 @t54))) % 0.41/0.63 (step @p69 :rule trans :premises (@p68 @p67)) % 0.41/0.63 (step @p70 :rule refl :args (@t8)) % 0.41/0.63 (step @p71 :rule cong :premises (@p70 @p69) :args (@t9)) % 0.41/0.63 (step @p72 :rule refl :args (@t12)) % 0.41/0.63 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t13)) % 0.41/0.63 (step @p74 :rule cong :premises (@p73) :args (@t15)) % 0.41/0.63 (step @p75 :rule trans :premises (@p74 @p49)) % 0.41/0.63 (step @p76 :rule refl :args (@t16)) % 0.41/0.63 (step @p77 :rule quant-merge-prenex :args ((= (forall @t5 @t56) @t37))) % 0.41/0.63 (step @p78 :rule alpha_equiv :args (@t57 (@list @t34) (@list @t17))) % 0.41/0.63 (step @p79 :rule refl :args (@t26)) % 0.41/0.63 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t58)) % 0.41/0.63 (step @p81 :rule quant-miniscope-or :args ((= @t56 @t58))) % 0.41/0.63 (step @p82 :rule trans :premises (@p81 @p80)) % 0.41/0.63 (step @p83 :rule symm :premises (@p82)) % 0.41/0.63 (step @p84 :rule cong :premises (@p83) :args ((forall @t5 (or @t26 @t18)))) % 0.41/0.63 (step @p85 :rule trans :premises (@p84 @p77)) % 0.41/0.63 (step @p86 :rule refl :args (@t18)) % 0.41/0.63 (step @p87 :rule nary_cong :premises (@p61 @p86) :args (@t59)) % 0.41/0.63 (step @p88 :rule cong :premises (@p87) :args ((forall @t5 @t59))) % 0.41/0.63 (step @p89 :rule trans :premises (@p88 @p85)) % 0.41/0.63 (step @p90 :rule bool-impl-elim :args (@t3 @t18)) % 0.41/0.63 (step @p91 :rule cong :premises (@p90) :args (@t19)) % 0.41/0.63 (step @p92 :rule trans :premises (@p91 @p89)) % 0.41/0.63 (step @p93 :rule nary_cong :premises (@p92 @p76) :args (@t20)) % 0.41/0.63 (step @p94 :rule cong :premises (@p93 @p75) :args (@t21)) % 0.41/0.63 (step @p95 :rule cong :premises (@p94) :args (@t22)) % 0.41/0.63 (step @p96 :rule trans :premises (@p95 @p12)) % 0.41/0.63 (step @p97 :rule eq_resolve :premises (@p1 @p96)) % 0.41/0.63 (step @p98 :rule not_implies_elim1 :premises (@p97)) % 0.41/0.63 (step @p99 :rule and_elim :premises (@p98) :args (0)) % 0.41/0.63 (step @p100 :rule instantiate :premises (@p99) :args ((@list tptp.cS tptp.cP))) % 0.41/0.63 (step @p101 :rule and_elim :premises (@p98) :args (1)) % 0.41/0.63 (step @p102 :rule cnf_or_pos :args (@t62)) % 0.41/0.63 (step @p103 :rule reordering :premises (@p102) :args ((or @t61 @t60 (not @t62)))) % 0.41/0.63 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p100) :args (@t60 @t63 (@list @t33 @t62))) % 0.41/0.63 (step @p105 :rule eq-symm :args (tptp.cS tptp.cJ)) % 0.41/0.63 (step @p106 :rule refl :args (@t61)) % 0.41/0.63 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t64)) % 0.41/0.63 (step @p108 :rule cong :premises (@p9 @p107) :args ((=> @t37 @t64))) % 0.41/0.63 (assume-push @p291 @t37) % 0.41/0.63 (step @p110 :rule instantiate :premises (@p99) :args ((@list tptp.cS tptp.cJ))) % 0.41/0.63 (step-pop @p292 :rule scope :premises (@p110)) % 0.41/0.63 (step @p111 :rule process_scope :premises (@p292) :args (@t64)) % 0.41/0.63 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 0.41/0.63 (step @p114 :rule implies_elim :premises (@p113)) % 0.41/0.63 (step @p115 :rule chain_m_resolution :premises (@p114 @p99) :args (@t66 @t67 @t68)) % 0.41/0.63 (step @p116 :rule cnf_or_pos :args (@t66)) % 0.41/0.63 (step @p117 :rule reordering :premises (@p116) :args ((or @t61 @t65 (not @t66)))) % 0.41/0.63 (step @p118 :rule chain_m_resolution :premises (@p117 @p101 @p115) :args (@t65 @t63 (@list @t33 @t66))) % 0.41/0.63 (step @p119 :rule true_intro :premises (@p101)) % 0.41/0.63 (step @p120 :rule symm :premises (@p104)) % 0.41/0.63 (step @p121 :rule cong :premises (@p120) :args (@t69)) % 0.41/0.63 (step @p122 :rule trans :premises (@p121 @p119)) % 0.41/0.63 (step @p123 :rule true_elim :premises (@p122)) % 0.41/0.63 (step @p124 :rule cnf_equiv_pos1 :args (@t71)) % 0.41/0.63 (step @p125 :rule reordering :premises (@p124) :args ((or @t72 @t70 (not @t71)))) % 0.41/0.63 (step @p126 :rule not_implies_elim2 :premises (@p97)) % 0.41/0.63 (step @p127 :rule not_not_elim :premises (@p126)) % 0.41/0.63 (step @p128 :rule instantiate :premises (@p127) :args ((@list tptp.cUNIQUE))) % 0.41/0.63 (step @p129 :rule cnf_or_pos :args (@t76)) % 0.41/0.63 (step @p130 :rule reordering :premises (@p129) :args ((or @t71 @t75 (not @t76)))) % 0.41/0.63 (step @p131 :rule cong :premises (@p118) :args (@t73)) % 0.41/0.63 (step @p132 :rule trans :premises (@p131 @p119)) % 0.41/0.63 (step @p133 :rule true_elim :premises (@p132)) % 0.41/0.63 (step @p134 :rule refl :args (@t74)) % 0.41/0.63 (step @p135 :rule bool-double-not-elim :args (@t27)) % 0.41/0.63 (step @p136 :rule refl :args (@t77)) % 0.41/0.63 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args ((or @t77 @t78 @t74))) % 0.41/0.63 (step @p138 :rule cnf_equiv_pos1 :args (@t75)) % 0.41/0.63 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.41/0.63 (step @p140 :rule reordering :premises (@p139) :args ((or @t27 @t74 @t77))) % 0.41/0.63 (assume-push @p293 @t27) % 0.41/0.63 (step @p142 :rule instantiate :premises (@p293) :args ((@list tptp.cS))) % 0.41/0.63 (step-pop @p294 :rule scope :premises (@p142)) % 0.41/0.63 (step @p143 :rule process_scope :premises (@p294) :args (@t81)) % 0.41/0.63 (step @p145 :rule implies_elim :premises (@p143)) % 0.41/0.63 (step @p146 :rule cnf_or_pos :args (@t81)) % 0.41/0.63 (step @p147 :rule reordering :premises (@p146) :args ((or @t61 @t80 (not @t81)))) % 0.41/0.63 (step @p148 :rule bool-double-not-elim :args (@t79)) % 0.41/0.63 (step @p149 :rule refl :args (@t82)) % 0.41/0.63 (step @p150 :rule refl :args (@t83)) % 0.41/0.63 (step @p151 :rule refl :args (@t72)) % 0.41/0.63 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149 @p148) :args ((or @t72 @t83 @t82 (not @t80)))) % 0.41/0.63 (assume-push @p295 @t80) % 0.41/0.63 (assume-push @p296 @t65) % 0.41/0.63 (assume-push @p297 @t60) % 0.41/0.63 (assume-push @p298 @t30) % 0.41/0.63 (step @p157 :rule evaluate :args (@t84)) % 0.41/0.63 (step @p158 :rule false_intro :premises (@p295)) % 0.41/0.63 (step @p159 :rule refl :args (tptp.cS)) % 0.41/0.63 (step @p160 :rule symm :premises (@p118)) % 0.41/0.63 (step @p161 :rule trans :premises (@p120 @p160)) % 0.41/0.63 (step @p162 :rule cong :premises (@p161 @p159) :args (@t30)) % 0.41/0.63 (step @p163 :rule true_intro :premises (@p298)) % 0.41/0.63 (step @p164 :rule symm :premises (@p163)) % 0.41/0.63 (step @p165 :rule trans :premises (@p164 @p162 @p158)) % 0.41/0.63 (step @p166 false :rule eq_resolve :premises (@p165 @p157)) % 0.41/0.63 (step-pop @p299 :rule scope :premises (@p166)) % 0.41/0.63 (step-pop @p300 :rule scope :premises (@p299)) % 0.41/0.63 (step-pop @p301 :rule scope :premises (@p300)) % 0.41/0.63 (step-pop @p302 :rule scope :premises (@p301)) % 0.41/0.63 (step @p167 :rule process_scope :premises (@p302) :args (false)) % 0.41/0.63 (assume-push @p303 @t30) % 0.41/0.63 (assume-push @p304 @t60) % 0.41/0.63 (assume-push @p305 @t65) % 0.41/0.63 (assume-push @p306 @t80) % 0.41/0.63 (step @p176 :rule and_intro :premises (@p306 @p118 @p104 @p303)) % 0.41/0.63 (step-pop @p307 :rule scope :premises (@p176)) % 0.41/0.63 (step-pop @p308 :rule scope :premises (@p307)) % 0.41/0.63 (step-pop @p309 :rule scope :premises (@p308)) % 0.41/0.63 (step-pop @p310 :rule scope :premises (@p309)) % 0.41/0.63 (step @p177 :rule process_scope :premises (@p310) :args (@t85)) % 0.41/0.63 (step @p182 :rule implies_elim :premises (@p177)) % 0.41/0.63 (step @p183 :rule resolution :premises (@p182 @p167) :args (true @t85)) % 0.41/0.63 (step @p184 :rule not_and :premises (@p183)) % 0.41/0.63 (step @p185 :rule eq_resolve :premises (@p184 @p152)) % 0.41/0.63 (step @p186 :rule chain_m_resolution :premises (@p185 @p118 @p104 @p147 @p101 @p145 @p140 @p133 @p130 @p128 @p125 @p123) :args (@t72 (@list false false true false false false false false false true false) (@list @t65 @t60 @t79 @t33 @t81 @t27 @t73 @t75 @t76 @t71 @t69))) % 0.41/0.63 (step @p187 :rule bool-eq-true :args (@t28)) % 0.41/0.63 (step @p188 :rule evaluate :args ((not false))) % 0.41/0.63 (step @p189 :rule beta-reduce :args ((= @t87 false))) % 0.41/0.63 (step @p190 :rule cong :premises (@p189) :args (@t88)) % 0.41/0.63 (step @p191 :rule trans :premises (@p190 @p188)) % 0.41/0.63 (step @p192 :rule refl :args (@t28)) % 0.41/0.63 (step @p193 :rule cong :premises (@p192 @p191) :args (@t89)) % 0.41/0.63 (step @p194 :rule trans :premises (@p193 @p187)) % 0.41/0.63 (step @p195 :rule bool-eq-true :args (@t30)) % 0.41/0.63 (step @p196 :rule beta-reduce :args ((= @t90 false))) % 0.41/0.63 (step @p197 :rule cong :premises (@p196) :args (@t91)) % 0.41/0.63 (step @p198 :rule trans :premises (@p197 @p188)) % 0.41/0.63 (step @p199 :rule refl :args (@t30)) % 0.41/0.63 (step @p200 :rule cong :premises (@p199 @p198) :args (@t92)) % 0.41/0.63 (step @p201 :rule trans :premises (@p200 @p195)) % 0.41/0.63 (step @p202 :rule nary_cong :premises (@p201 @p194) :args (@t93)) % 0.41/0.63 (step @p203 :rule refl :args (@t31)) % 0.41/0.63 (step @p204 :rule cong :premises (@p203 @p202) :args ((=> @t31 @t93))) % 0.41/0.63 (assume-push @p311 @t31) % 0.41/0.63 (step @p206 :rule instantiate :premises (@p127) :args ((@list @t86))) % 0.41/0.63 (step-pop @p312 :rule scope :premises (@p206)) % 0.41/0.63 (step @p207 :rule process_scope :premises (@p312) :args (@t93)) % 0.41/0.63 (step @p209 :rule eq_resolve :premises (@p207 @p204)) % 0.41/0.63 (step @p210 :rule implies_elim :premises (@p209)) % 0.41/0.63 (step @p211 :rule chain_m_resolution :premises (@p210 @p127) :args (@t94 @t67 (@list @t31))) % 0.41/0.63 (step @p212 :rule cnf_or_pos :args (@t94)) % 0.41/0.63 (step @p213 :rule reordering :premises (@p212) :args ((or @t28 @t30 (not @t94)))) % 0.41/0.63 (step @p214 :rule chain_m_resolution :premises (@p213 @p186 @p211) :args (@t28 (@list true false) (@list @t30 @t94))) % 0.41/0.63 (step @p215 :rule refl :args (@t101)) % 0.41/0.63 (step @p216 :rule nary_cong :premises (@p135 @p215) :args ((or @t78 @t101))) % 0.41/0.63 (assume-push @p313 @t28) % 0.41/0.63 (step @p218 :rule skolemize :premises (@p313)) % 0.41/0.63 (step-pop @p314 :rule scope :premises (@p218)) % 0.41/0.63 (step @p219 :rule process_scope :premises (@p314) :args (@t101)) % 0.41/0.63 (step @p221 :rule implies_elim :premises (@p219)) % 0.41/0.63 (step @p222 :rule eq_resolve :premises (@p221 @p216)) % 0.41/0.63 (step @p223 :rule chain_m_resolution :premises (@p222 @p214) :args (@t101 @t102 (@list @t27))) % 0.41/0.63 (step @p224 :rule bool-double-not-elim :args (@t96)) % 0.41/0.63 (step @p225 :rule refl :args (@t100)) % 0.41/0.63 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t100 (not @t97)))) % 0.41/0.63 (step @p227 :rule cnf_or_neg :args (@t100 1)) % 0.41/0.63 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 0.41/0.63 (step @p229 :rule reordering :premises (@p228) :args ((or @t96 @t100))) % 0.41/0.63 (step @p230 :rule chain_m_resolution :premises (@p229 @p223) :args (@t96 @t102 @t103)) % 0.41/0.63 (step @p231 :rule eq-symm :args (@t95 tptp.cS)) % 0.41/0.63 (step @p232 :rule refl :args (@t99)) % 0.41/0.63 (step @p233 :rule nary_cong :premises (@p232 @p231) :args (@t104)) % 0.41/0.63 (step @p234 :rule cong :premises (@p9 @p233) :args ((=> @t37 @t104))) % 0.41/0.63 (assume-push @p315 @t37) % 0.41/0.63 (step @p236 :rule instantiate :premises (@p99) :args ((@list @t95 tptp.cS))) % 0.41/0.63 (step-pop @p316 :rule scope :premises (@p236)) % 0.41/0.63 (step @p237 :rule process_scope :premises (@p316) :args (@t104)) % 0.41/0.63 (step @p239 :rule eq_resolve :premises (@p237 @p234)) % 0.41/0.63 (step @p240 :rule implies_elim :premises (@p239)) % 0.41/0.63 (step @p241 :rule chain_m_resolution :premises (@p240 @p99) :args (@t106 @t67 @t68)) % 0.41/0.63 (step @p242 :rule bool-double-not-elim :args (@t98)) % 0.41/0.63 (step @p243 :rule nary_cong :premises (@p225 @p242) :args ((or @t100 (not @t99)))) % 0.41/0.63 (step @p244 :rule cnf_or_neg :args (@t100 0)) % 0.41/0.63 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 0.41/0.63 (step @p246 :rule reordering :premises (@p245) :args ((or @t98 @t100))) % 0.41/0.63 (step @p247 :rule chain_m_resolution :premises (@p246 @p223) :args (@t98 @t102 @t103)) % 0.41/0.63 (step @p248 :rule cnf_or_pos :args (@t106)) % 0.41/0.63 (step @p249 :rule reordering :premises (@p248) :args ((or @t99 @t105 (not @t106)))) % 0.41/0.63 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p241) :args (@t105 @t63 (@list @t98 @t106))) % 0.41/0.63 (step @p251 :rule refl :args (@t107)) % 0.41/0.63 (step @p252 :rule refl :args (@t97)) % 0.41/0.63 (step @p253 :rule bool-double-not-elim :args (@t30)) % 0.41/0.63 (step @p254 :rule nary_cong :premises (@p253 @p150 @p252 @p149 @p251) :args ((or (not @t72) @t83 @t97 @t82 @t107))) % 0.41/0.63 (assume-push @p317 @t72) % 0.41/0.63 (assume-push @p318 @t60) % 0.41/0.63 (assume-push @p319 @t65) % 0.41/0.63 (assume-push @p320 @t105) % 0.41/0.63 (assume-push @p321 @t96) % 0.41/0.63 (step @p157 :rule evaluate :args (@t84)) % 0.41/0.63 (step @p260 :rule false_intro :premises (@p317)) % 0.41/0.63 (step @p261 :rule symm :premises (@p320)) % 0.41/0.63 (step @p262 :rule trans :premises (@p118 @p104)) % 0.41/0.63 (step @p263 :rule cong :premises (@p262 @p261) :args (@t96)) % 0.41/0.63 (step @p264 :rule true_intro :premises (@p321)) % 0.41/0.63 (step @p265 :rule symm :premises (@p264)) % 0.41/0.63 (step @p266 :rule trans :premises (@p265 @p263 @p260)) % 0.41/0.63 (step @p267 false :rule eq_resolve :premises (@p266 @p157)) % 0.41/0.63 (step-pop @p322 :rule scope :premises (@p267)) % 0.41/0.63 (step-pop @p323 :rule scope :premises (@p322)) % 0.41/0.63 (step-pop @p324 :rule scope :premises (@p323)) % 0.41/0.63 (step-pop @p325 :rule scope :premises (@p324)) % 0.41/0.63 (step-pop @p326 :rule scope :premises (@p325)) % 0.41/0.63 (step @p268 :rule process_scope :premises (@p326) :args (false)) % 0.41/0.63 (assume-push @p327 @t72) % 0.41/0.63 (assume-push @p328 @t60) % 0.41/0.63 (assume-push @p329 @t96) % 0.41/0.63 (assume-push @p330 @t65) % 0.41/0.63 (assume-push @p331 @t105) % 0.41/0.63 (step @p279 :rule and_intro :premises (@p327 @p104 @p118 @p331 @p329)) % 0.41/0.63 (step-pop @p332 :rule scope :premises (@p279)) % 0.41/0.63 (step-pop @p333 :rule scope :premises (@p332)) % 0.41/0.63 (step-pop @p334 :rule scope :premises (@p333)) % 0.41/0.63 (step-pop @p335 :rule scope :premises (@p334)) % 0.41/0.63 (step-pop @p336 :rule scope :premises (@p335)) % 0.41/0.63 (step @p280 :rule process_scope :premises (@p336) :args (@t108)) % 0.41/0.63 (step @p286 :rule implies_elim :premises (@p280)) % 0.41/0.63 (step @p287 :rule resolution :premises (@p286 @p268) :args (true @t108)) % 0.41/0.63 (step @p288 :rule not_and :premises (@p287)) % 0.41/0.63 (step @p289 :rule eq_resolve :premises (@p288 @p254)) % 0.41/0.63 (step @p290 false :rule chain_m_resolution :premises (@p289 @p250 @p230 @p186 @p118 @p104) :args (false (@list false false true false false) (@list @t105 @t96 @t30 @t65 @t60))) % 0.41/0.63 ) % 0.41/0.63 % SZS output end Proof % 0.41/0.63 % cvc5 exiting %------------------------------------------------------------------------------