%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO227^5 : 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 : n003.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 0.73s 0.95s % Output : Proof 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SYO227^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:00:44 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.73/0.95 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.73/0.95 % SZS status Theorem % 0.73/0.95 % SZS output start Proof % 0.73/0.95 ( % 0.73/0.95 (declare-sort $$unsorted 0) % 0.73/0.95 (declare-const tptp.c_less_ (-> $$unsorted $$unsorted Bool)) % 0.73/0.95 (declare-const tptp.a $$unsorted) % 0.73/0.95 (declare-const tptp.b $$unsorted) % 0.73/0.95 (declare-const tptp.c $$unsorted) % 0.73/0.95 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 0.73/0.95 (define @t2 () (_ @t1 tptp.c)) % 0.73/0.95 (define @t3 () (not @t2)) % 0.73/0.95 (define @t4 () (_ @t1 tptp.b)) % 0.73/0.95 (define @t5 () (_ @t1 tptp.a)) % 0.73/0.95 (define @t6 () (not @t5)) % 0.73/0.95 (define @t7 () (and @t6 @t4 @t3)) % 0.73/0.95 (define @t8 () (@list @t1)) % 0.73/0.95 (define @t9 () (exists @t8 @t7)) % 0.73/0.95 (define @t10 () (_ (_ tptp.c_less_ tptp.b) tptp.c)) % 0.73/0.95 (define @t11 () (_ tptp.c_less_ tptp.a)) % 0.73/0.95 (define @t12 () (_ @t11 tptp.b)) % 0.73/0.95 (define @t13 () (and @t12 @t10)) % 0.73/0.95 (define @t14 () (=> @t13 @t9)) % 0.73/0.95 (define @t15 () (@var "Xy" $$unsorted)) % 0.73/0.95 (define @t16 () (@var "Xx" $$unsorted)) % 0.73/0.95 (define @t17 () (not (= @t16 @t15))) % 0.73/0.95 (define @t18 () (_ (_ tptp.c_less_ @t16) @t15)) % 0.73/0.95 (define @t19 () (@list @t16 @t15)) % 0.73/0.95 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.73/0.95 (define @t21 () (=> @t20 @t14)) % 0.73/0.95 (define @t22 () (not @t21)) % 0.73/0.95 (define @t23 () (_ @t1 tptp.c)) % 0.73/0.95 (define @t24 () (_ @t1 tptp.b)) % 0.73/0.95 (define @t25 () (_ @t1 tptp.a)) % 0.73/0.95 (define @t26 () (forall @t8 (or @t25 (not @t24) @t23))) % 0.73/0.95 (define @t27 () (not @t26)) % 0.73/0.95 (define @t28 () (tptp.c_less_ tptp.b tptp.c)) % 0.73/0.95 (define @t29 () (tptp.c_less_ tptp.a tptp.b)) % 0.73/0.95 (define @t30 () (=> @t13 @t27)) % 0.73/0.95 (define @t31 () (not (tptp.c_less_ @t15 @t15))) % 0.73/0.95 (define @t32 () (@list @t15)) % 0.73/0.95 (define @t33 () (forall @t32 @t31)) % 0.73/0.95 (define @t34 () (=> @t33 @t30)) % 0.73/0.95 (define @t35 () (not @t4)) % 0.73/0.95 (define @t36 () (or @t5 @t35 @t2)) % 0.73/0.95 (define @t37 () (not @t3)) % 0.73/0.95 (define @t38 () (not @t6)) % 0.73/0.95 (define @t39 () (or @t38 @t35 @t37)) % 0.73/0.95 (define @t40 () (forall @t8 (not @t7))) % 0.73/0.95 (define @t41 () (not @t40)) % 0.73/0.95 (define @t42 () (not (= @t15 @t15))) % 0.73/0.95 (define @t43 () (or @t31 @t42)) % 0.73/0.95 (define @t44 () (tptp.c_less_ @t16 @t15)) % 0.73/0.95 (define @t45 () (not @t44)) % 0.73/0.95 (define @t46 () (or @t17 @t45 @t17)) % 0.73/0.95 (define @t47 () (@list @t16)) % 0.73/0.95 (define @t48 () (or @t45 @t17)) % 0.73/0.95 (define @t49 () (forall @t47 @t48)) % 0.73/0.95 (define @t50 () (forall @t32 @t49)) % 0.73/0.95 (define @t51 () (forall (@list @t15 @t16) @t48)) % 0.73/0.95 (define @t52 () (not @t18)) % 0.73/0.95 (define @t53 () (or @t52 @t17)) % 0.73/0.95 (define @t54 () (= tptp.c tptp.b)) % 0.73/0.95 (define @t55 () (= tptp.b tptp.a)) % 0.73/0.95 (define @t56 () (or @t55 @t54)) % 0.73/0.95 (define @t57 () (@var "BOUND_VARIABLE_22040" $$unsorted)) % 0.73/0.95 (define @t58 () (lambda (@list @t57) (= @t57 tptp.b))) % 0.73/0.95 (define @t59 () (_ @t58 tptp.c)) % 0.73/0.95 (define @t60 () (_ @t58 tptp.b)) % 0.73/0.95 (define @t61 () (not @t60)) % 0.73/0.95 (define @t62 () (_ @t58 tptp.a)) % 0.73/0.95 (define @t63 () (or @t62 @t61 @t59)) % 0.73/0.95 (define @t64 () (@purify @t11)) % 0.73/0.95 (define @t65 () (_ @t64 tptp.b)) % 0.73/0.95 (define @t66 () (= @t12 @t65)) % 0.73/0.95 (define @t67 () (= @t11 @t64)) % 0.73/0.95 (define @t68 () (and @t67 @t66)) % 0.73/0.95 (define @t69 () (_ @t11 tptp.b)) % 0.73/0.95 (define @t70 () (= @t12 @t69)) % 0.73/0.95 (define @t71 () (tptp.c_less_ tptp.a tptp.a)) % 0.73/0.95 (define @t72 () (_ @t64 tptp.a)) % 0.73/0.95 (define @t73 () (not @t72)) % 0.73/0.95 (define @t74 () (not @t67)) % 0.73/0.95 (define @t75 () (not @t71)) % 0.73/0.95 (define @t76 () (= false true)) % 0.73/0.95 (define @t77 () (and @t75 @t72 @t67)) % 0.73/0.95 (define @t78 () (not @t55)) % 0.73/0.95 (define @t79 () (not @t29)) % 0.73/0.95 (define @t80 () (and @t55 @t73 @t67 @t29)) % 0.73/0.95 (define @t81 () (not @t54)) % 0.73/0.95 (define @t82 () (tptp.c_less_ tptp.b tptp.b)) % 0.73/0.95 (define @t83 () (not @t28)) % 0.73/0.95 (define @t84 () (not @t82)) % 0.73/0.95 (define @t85 () (and @t28 @t54 @t84)) % 0.73/0.95 (assume @p1 @t22) % 0.73/0.95 (assume @p2 true) % 0.73/0.95 (step @p3 :rule refl :args (@t27)) % 0.73/0.95 (step @p4 :rule refl :args (@t28)) % 0.73/0.95 (step @p5 :rule refl :args (@t10)) % 0.73/0.95 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t10 @t28))) % 0.73/0.95 (step @p7 :rule symm :premises (@p6)) % 0.73/0.95 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.73/0.95 (step @p9 :rule refl :args (@t29)) % 0.73/0.95 (step @p10 :rule refl :args (@t12)) % 0.73/0.95 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t12 @t29))) % 0.73/0.95 (step @p12 :rule symm :premises (@p11)) % 0.73/0.95 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.73/0.95 (step @p14 :rule nary_cong :premises (@p13 @p8) :args (@t13)) % 0.73/0.95 (step @p15 :rule cong :premises (@p14 @p3) :args (@t30)) % 0.73/0.95 (step @p16 :rule refl :args (@t33)) % 0.73/0.95 (step @p17 :rule cong :premises (@p16 @p15) :args (@t34)) % 0.73/0.95 (step @p18 :rule cong :premises (@p17) :args ((not @t34))) % 0.73/0.95 (step @p19 :rule refl :args (@t23)) % 0.73/0.95 (step @p20 :rule refl :args (@t2)) % 0.73/0.95 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t2 @t23))) % 0.73/0.95 (step @p22 :rule symm :premises (@p21)) % 0.73/0.95 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.73/0.95 (step @p24 :rule refl :args (@t24)) % 0.73/0.95 (step @p25 :rule refl :args (@t4)) % 0.73/0.95 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t4 @t24))) % 0.73/0.95 (step @p27 :rule symm :premises (@p26)) % 0.73/0.95 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.73/0.95 (step @p29 :rule cong :premises (@p28) :args (@t35)) % 0.73/0.95 (step @p30 :rule refl :args (@t25)) % 0.73/0.95 (step @p31 :rule refl :args (@t5)) % 0.73/0.95 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t5 @t25))) % 0.73/0.95 (step @p33 :rule symm :premises (@p32)) % 0.73/0.95 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.73/0.95 (step @p35 :rule nary_cong :premises (@p34 @p29 @p23) :args (@t36)) % 0.73/0.95 (step @p36 :rule cong :premises (@p35) :args ((forall @t8 @t36))) % 0.73/0.95 (step @p37 :rule bool-double-not-elim :args (@t2)) % 0.73/0.95 (step @p38 :rule refl :args (@t35)) % 0.73/0.95 (step @p39 :rule bool-double-not-elim :args (@t5)) % 0.73/0.95 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t39)) % 0.73/0.95 (step @p41 :rule aci_norm :args ((= (or @t38 (or @t35 @t37)) @t39))) % 0.73/0.95 (step @p42 :rule trans :premises (@p41 @p40)) % 0.73/0.95 (step @p43 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 0.73/0.95 (step @p44 :rule refl :args (@t38)) % 0.73/0.95 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t38 (not (and @t4 @t3))))) % 0.73/0.95 (step @p46 :rule bool-and-de-morgan :args (@t6 @t4 (and @t3))) % 0.73/0.95 (step @p47 :rule trans :premises (@p46 @p45)) % 0.73/0.95 (step @p48 :rule trans :premises (@p47 @p42)) % 0.73/0.95 (step @p49 :rule cong :premises (@p48) :args (@t40)) % 0.73/0.95 (step @p50 :rule trans :premises (@p49 @p36)) % 0.73/0.95 (step @p51 :rule cong :premises (@p50) :args (@t41)) % 0.73/0.95 (step @p52 :rule exists-elim :args ((= @t9 @t41))) % 0.73/0.95 (step @p53 :rule trans :premises (@p52 @p51)) % 0.73/0.95 (step @p54 :rule refl :args (@t13)) % 0.73/0.95 (step @p55 :rule cong :premises (@p54 @p53) :args (@t14)) % 0.73/0.95 (step @p56 :rule aci_norm :args ((= (or @t31 false) @t31))) % 0.73/0.95 (step @p57 :rule evaluate :args ((not true))) % 0.73/0.95 (step @p58 :rule eq-refl :args (@t15)) % 0.73/0.95 (step @p59 :rule cong :premises (@p58) :args (@t42)) % 0.73/0.95 (step @p60 :rule trans :premises (@p59 @p57)) % 0.73/0.95 (step @p61 :rule refl :args (@t31)) % 0.73/0.95 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t43)) % 0.73/0.95 (step @p63 :rule trans :premises (@p62 @p56)) % 0.73/0.95 (step @p64 :rule cong :premises (@p63) :args ((forall @t32 @t43))) % 0.73/0.95 (step @p65 :rule quant-var-elim-eq :args ((= (forall @t47 @t46) @t43))) % 0.73/0.95 (step @p66 :rule aci_norm :args ((= @t48 @t46))) % 0.73/0.95 (step @p67 :rule cong :premises (@p66) :args (@t49)) % 0.73/0.95 (step @p68 :rule trans :premises (@p67 @p65)) % 0.73/0.95 (step @p69 :rule cong :premises (@p68) :args (@t50)) % 0.73/0.95 (step @p70 :rule quant-merge-prenex :args ((= @t50 @t51))) % 0.73/0.95 (step @p71 :rule symm :premises (@p70)) % 0.73/0.95 (step @p72 :rule quant_var_reordering :args ((= (forall @t19 @t48) @t51))) % 0.73/0.95 (step @p73 :rule trans :premises (@p72 @p71 @p69)) % 0.73/0.95 (step @p74 :rule trans :premises (@p73 @p64)) % 0.73/0.95 (step @p75 :rule refl :args (@t17)) % 0.73/0.95 (step @p76 :rule refl :args (@t44)) % 0.73/0.95 (step @p77 :rule refl :args (@t18)) % 0.73/0.95 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t18 @t44))) % 0.73/0.95 (step @p79 :rule symm :premises (@p78)) % 0.73/0.95 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.73/0.95 (step @p81 :rule cong :premises (@p80) :args (@t52)) % 0.73/0.95 (step @p82 :rule nary_cong :premises (@p81 @p75) :args (@t53)) % 0.73/0.95 (step @p83 :rule cong :premises (@p82) :args ((forall @t19 @t53))) % 0.73/0.95 (step @p84 :rule trans :premises (@p83 @p74)) % 0.73/0.95 (step @p85 :rule bool-impl-elim :args (@t18 @t17)) % 0.73/0.95 (step @p86 :rule cong :premises (@p85) :args (@t20)) % 0.73/0.95 (step @p87 :rule trans :premises (@p86 @p84)) % 0.73/0.95 (step @p88 :rule cong :premises (@p87 @p55) :args (@t21)) % 0.73/0.95 (step @p89 :rule cong :premises (@p88) :args (@t22)) % 0.73/0.95 (step @p90 :rule trans :premises (@p89 @p18)) % 0.73/0.95 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.73/0.95 (step @p92 :rule not_implies_elim2 :premises (@p91)) % 0.73/0.95 (step @p93 :rule not_implies_elim1 :premises (@p92)) % 0.73/0.95 (step @p94 :rule and_elim :premises (@p93) :args (1)) % 0.73/0.95 (step @p95 :rule not_implies_elim1 :premises (@p91)) % 0.73/0.95 (step @p96 :rule instantiate :premises (@p95) :args ((@list tptp.b))) % 0.73/0.95 (step @p97 :rule not_implies_elim2 :premises (@p92)) % 0.73/0.95 (step @p98 :rule not_not_elim :premises (@p97)) % 0.73/0.95 (step @p99 :rule aci_norm :args ((= (or @t55 false @t54) @t56))) % 0.73/0.95 (step @p100 :rule beta-reduce :args ((= @t59 @t54))) % 0.73/0.95 (step @p101 :rule eq-refl :args (tptp.b)) % 0.73/0.95 (step @p102 :rule beta-reduce :args ((= @t60 (= tptp.b tptp.b)))) % 0.73/0.95 (step @p103 :rule trans :premises (@p102 @p101)) % 0.73/0.95 (step @p104 :rule cong :premises (@p103) :args (@t61)) % 0.73/0.95 (step @p105 :rule trans :premises (@p104 @p57)) % 0.73/0.95 (step @p106 :rule eq-symm :args (tptp.a tptp.b)) % 0.73/0.95 (step @p107 :rule beta-reduce :args ((= @t62 (= tptp.a tptp.b)))) % 0.73/0.95 (step @p108 :rule trans :premises (@p107 @p106)) % 0.73/0.95 (step @p109 :rule nary_cong :premises (@p108 @p105 @p100) :args (@t63)) % 0.73/0.95 (step @p110 :rule trans :premises (@p109 @p99)) % 0.73/0.95 (step @p111 :rule refl :args (@t26)) % 0.73/0.95 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t26 @t63))) % 0.73/0.95 (assume-push @p257 @t26) % 0.73/0.95 (step @p114 :rule instantiate :premises (@p98) :args ((@list @t58))) % 0.73/0.95 (step-pop @p258 :rule scope :premises (@p114)) % 0.73/0.95 (step @p115 :rule process_scope :premises (@p258) :args (@t63)) % 0.73/0.95 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.73/0.95 (step @p118 :rule implies_elim :premises (@p117)) % 0.73/0.95 (step @p119 :rule chain_m_resolution :premises (@p118 @p98) :args (@t56 (@list false) (@list @t26))) % 0.73/0.95 (step @p120 :rule instantiate :premises (@p95) :args ((@list tptp.a))) % 0.73/0.95 (step @p121 :rule refl :args (@t65)) % 0.73/0.95 (step @p122 :rule cong :premises (@p13 @p121) :args (@t66)) % 0.73/0.95 (step @p123 :rule refl :args (@t67)) % 0.73/0.95 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t68)) % 0.73/0.95 (step @p125 :rule eq-symm :args (@t65 @t12)) % 0.73/0.95 (step @p126 :rule eq-symm :args (@t64 @t11)) % 0.73/0.95 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((and (= @t64 @t11) (= @t65 @t12)))) % 0.73/0.95 (step @p128 :rule trans :premises (@p127 @p124)) % 0.73/0.95 (step @p129 :rule evaluate :args ((and true true))) % 0.73/0.95 (step @p130 :rule eq-refl :args (@t12)) % 0.73/0.95 (step @p131 :rule refl :args (@t69)) % 0.73/0.95 (step @p132 :rule refl :args (@t12)) % 0.73/0.95 (step @p133 :rule cong :premises (@p132 @p131) :args (@t70)) % 0.73/0.95 (step @p134 :rule trans :premises (@p133 @p130)) % 0.73/0.95 (step @p135 :rule eq-refl :args (@t11)) % 0.73/0.95 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((and (= @t11 @t11) @t70))) % 0.73/0.95 (step @p137 :rule trans :premises (@p136 @p129)) % 0.73/0.95 (step @p138 :rule refl :args (tptp.b)) % 0.73/0.95 (step @p139 :rule skolem_intro :args (@t64)) % 0.73/0.95 (step @p140 :rule ho_cong :premises (@p139 @p138)) % 0.73/0.95 (step @p141 :rule cong :premises (@p132 @p140) :args (@t66)) % 0.73/0.95 (step @p142 :rule refl :args (@t11)) % 0.73/0.95 (step @p143 :rule cong :premises (@p142 @p139) :args (@t67)) % 0.73/0.95 (step @p144 :rule nary_cong :premises (@p143 @p141) :args (@t68)) % 0.73/0.95 (step @p145 :rule trans :premises (@p127 @p144 @p137)) % 0.73/0.95 (step @p146 :rule true_elim :premises (@p145)) % 0.73/0.95 (step @p147 :rule eq_resolve :premises (@p146 @p128)) % 0.73/0.95 (step @p148 :rule and_elim :premises (@p147) :args (0)) % 0.73/0.95 (step @p149 :rule bool-double-not-elim :args (@t71)) % 0.73/0.95 (step @p150 :rule refl :args (@t73)) % 0.73/0.95 (step @p151 :rule refl :args (@t74)) % 0.73/0.95 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149) :args ((or @t74 @t73 (not @t75)))) % 0.73/0.95 (assume-push @p259 @t75) % 0.73/0.95 (assume-push @p260 @t72) % 0.73/0.95 (assume-push @p261 @t67) % 0.73/0.95 (step @p156 :rule evaluate :args (@t76)) % 0.73/0.95 (step @p157 :rule true_intro :premises (@p260)) % 0.73/0.95 (step @p158 :rule refl :args (@t72)) % 0.73/0.95 (step @p159 :rule symm :premises (@p158)) % 0.73/0.95 (step @p160 :rule refl :args (tptp.a)) % 0.73/0.95 (step @p161 :rule ho_cong :premises (@p148 @p160)) % 0.73/0.95 (step @p162 :rule refl :args (@t71)) % 0.73/0.95 (step @p163 :rule false_intro :premises (@p120)) % 0.73/0.95 (step @p164 :rule symm :premises (@p163)) % 0.73/0.95 (step @p165 :rule trans :premises (@p164 @p162 @p161 @p159 @p157)) % 0.73/0.95 (step @p166 false :rule eq_resolve :premises (@p165 @p156)) % 0.73/0.95 (step-pop @p262 :rule scope :premises (@p166)) % 0.73/0.95 (step-pop @p263 :rule scope :premises (@p262)) % 0.73/0.95 (step-pop @p264 :rule scope :premises (@p263)) % 0.73/0.95 (step @p167 :rule process_scope :premises (@p264) :args (false)) % 0.73/0.95 (assume-push @p265 @t67) % 0.73/0.95 (assume-push @p266 @t72) % 0.73/0.95 (assume-push @p267 @t75) % 0.73/0.95 (step @p174 :rule and_intro :premises (@p120 @p266 @p148)) % 0.73/0.95 (step-pop @p268 :rule scope :premises (@p174)) % 0.73/0.95 (step-pop @p269 :rule scope :premises (@p268)) % 0.73/0.95 (step-pop @p270 :rule scope :premises (@p269)) % 0.73/0.95 (step @p175 :rule process_scope :premises (@p270) :args (@t77)) % 0.73/0.95 (step @p179 :rule implies_elim :premises (@p175)) % 0.73/0.95 (step @p180 :rule resolution :premises (@p179 @p167) :args (true @t77)) % 0.73/0.95 (step @p181 :rule not_and :premises (@p180)) % 0.73/0.95 (step @p182 :rule eq_resolve :premises (@p181 @p152)) % 0.73/0.95 (step @p183 :rule reordering :premises (@p182) :args ((or @t74 @t71 @t73))) % 0.73/0.95 (step @p184 :rule chain_m_resolution :premises (@p183 @p148 @p120) :args (@t73 (@list false true) (@list @t67 @t71))) % 0.73/0.95 (step @p185 :rule and_elim :premises (@p93) :args (0)) % 0.73/0.95 (step @p186 :rule refl :args (@t78)) % 0.73/0.95 (step @p187 :rule bool-double-not-elim :args (@t72)) % 0.73/0.95 (step @p188 :rule refl :args (@t79)) % 0.73/0.95 (step @p189 :rule nary_cong :premises (@p188 @p151 @p187 @p186) :args ((or @t79 @t74 (not @t73) @t78))) % 0.73/0.95 (assume-push @p271 @t55) % 0.73/0.95 (assume-push @p272 @t73) % 0.73/0.95 (assume-push @p273 @t67) % 0.73/0.95 (assume-push @p274 @t29) % 0.73/0.95 (step @p156 :rule evaluate :args (@t76)) % 0.73/0.95 (step @p194 :rule true_intro :premises (@p185)) % 0.73/0.95 (step @p195 :rule ho_cong :premises (@p139 @p138)) % 0.73/0.95 (step @p196 :rule symm :premises (@p271)) % 0.73/0.95 (step @p197 :rule ho_cong :premises (@p148 @p196)) % 0.73/0.95 (step @p160 :rule refl :args (tptp.a)) % 0.73/0.95 (step @p198 :rule ho_cong :premises (@p139 @p160)) % 0.73/0.95 (step @p158 :rule refl :args (@t72)) % 0.73/0.95 (step @p199 :rule false_intro :premises (@p272)) % 0.73/0.95 (step @p200 :rule symm :premises (@p199)) % 0.73/0.95 (step @p201 :rule trans :premises (@p200 @p158 @p198 @p197 @p195 @p13 @p194)) % 0.73/0.95 (step @p202 false :rule eq_resolve :premises (@p201 @p156)) % 0.73/0.95 (step-pop @p275 :rule scope :premises (@p202)) % 0.73/0.95 (step-pop @p276 :rule scope :premises (@p275)) % 0.73/0.95 (step-pop @p277 :rule scope :premises (@p276)) % 0.73/0.95 (step-pop @p278 :rule scope :premises (@p277)) % 0.73/0.95 (step @p203 :rule process_scope :premises (@p278) :args (false)) % 0.73/0.95 (assume-push @p279 @t29) % 0.73/0.95 (assume-push @p280 @t67) % 0.73/0.95 (assume-push @p281 @t73) % 0.73/0.95 (assume-push @p282 @t55) % 0.73/0.95 (step @p212 :rule and_intro :premises (@p282 @p281 @p148 @p185)) % 0.73/0.95 (step-pop @p283 :rule scope :premises (@p212)) % 0.73/0.95 (step-pop @p284 :rule scope :premises (@p283)) % 0.73/0.95 (step-pop @p285 :rule scope :premises (@p284)) % 0.73/0.95 (step-pop @p286 :rule scope :premises (@p285)) % 0.73/0.95 (step @p213 :rule process_scope :premises (@p286) :args (@t80)) % 0.73/0.95 (step @p218 :rule implies_elim :premises (@p213)) % 0.73/0.95 (step @p219 :rule resolution :premises (@p218 @p203) :args (true @t80)) % 0.73/0.95 (step @p220 :rule not_and :premises (@p219)) % 0.73/0.95 (step @p221 :rule eq_resolve :premises (@p220 @p189)) % 0.73/0.95 (step @p222 :rule chain_m_resolution :premises (@p221 @p185 @p148 @p184) :args (@t78 (@list false false true) (@list @t29 @t67 @t72))) % 0.73/0.95 (step @p223 :rule cnf_or_pos :args (@t56)) % 0.73/0.95 (step @p224 :rule reordering :premises (@p223) :args ((or @t55 @t54 (not @t56)))) % 0.73/0.95 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p119) :args (@t54 (@list true false) (@list @t55 @t56))) % 0.73/0.95 (step @p226 :rule refl :args (@t81)) % 0.73/0.95 (step @p227 :rule bool-double-not-elim :args (@t82)) % 0.73/0.95 (step @p228 :rule refl :args (@t83)) % 0.73/0.95 (step @p229 :rule nary_cong :premises (@p228 @p227 @p226) :args ((or @t83 (not @t84) @t81))) % 0.73/0.95 (assume-push @p287 @t28) % 0.73/0.95 (assume-push @p288 @t54) % 0.73/0.95 (assume-push @p289 @t84) % 0.73/0.95 (step @p156 :rule evaluate :args (@t76)) % 0.73/0.95 (step @p233 :rule true_intro :premises (@p94)) % 0.73/0.95 (step @p234 :rule symm :premises (@p288)) % 0.73/0.95 (step @p235 :rule cong :premises (@p138 @p234) :args (@t82)) % 0.73/0.95 (step @p236 :rule false_intro :premises (@p96)) % 0.73/0.95 (step @p237 :rule symm :premises (@p236)) % 0.73/0.95 (step @p238 :rule trans :premises (@p237 @p235 @p233)) % 0.73/0.95 (step @p239 false :rule eq_resolve :premises (@p238 @p156)) % 0.73/0.95 (step-pop @p290 :rule scope :premises (@p239)) % 0.73/0.95 (step-pop @p291 :rule scope :premises (@p290)) % 0.73/0.95 (step-pop @p292 :rule scope :premises (@p291)) % 0.73/0.95 (step @p240 :rule process_scope :premises (@p292) :args (false)) % 0.73/0.95 (assume-push @p293 @t28) % 0.73/0.95 (assume-push @p294 @t84) % 0.73/0.95 (assume-push @p295 @t54) % 0.73/0.95 (step @p247 :rule and_intro :premises (@p94 @p295 @p96)) % 0.73/0.95 (step-pop @p296 :rule scope :premises (@p247)) % 0.73/0.95 (step-pop @p297 :rule scope :premises (@p296)) % 0.73/0.95 (step-pop @p298 :rule scope :premises (@p297)) % 0.73/0.95 (step @p248 :rule process_scope :premises (@p298) :args (@t85)) % 0.73/0.95 (step @p252 :rule implies_elim :premises (@p248)) % 0.73/0.95 (step @p253 :rule resolution :premises (@p252 @p240) :args (true @t85)) % 0.73/0.95 (step @p254 :rule not_and :premises (@p253)) % 0.73/0.95 (step @p255 :rule eq_resolve :premises (@p254 @p229)) % 0.73/0.95 (step @p256 false :rule chain_m_resolution :premises (@p255 @p225 @p96 @p94) :args (false (@list false true false) (@list @t54 @t82 @t28))) % 0.73/0.95 ) % 0.73/0.95 % SZS output end Proof % 0.73/0.95 % cvc5 exiting %------------------------------------------------------------------------------