%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL490+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:59 AM UTC 2026 % Result : Theorem 34.83s 35.71s % Output : Proof 34.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL490+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n001.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 5 13:43:17 UTC 2026 % 0.11/0.37 % CPUTime : % 0.13/0.44 %----Proving TF0_NAR, FOF, or CNF % 34.83/35.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.83/35.71 --- Run --no-e-matching --full-saturate-quant at 6... % 34.83/35.71 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.83/35.71 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.83/35.71 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.83/35.71 % SZS status Theorem % 34.83/35.71 % SZS output start Proof % 34.83/35.71 ( % 34.83/35.71 (declare-sort $$unsorted 0) % 34.83/35.71 (declare-const tptp.op_equiv Bool) % 34.83/35.71 (declare-const tptp.op_implies_or Bool) % 34.83/35.71 (declare-const tptp.op_and Bool) % 34.83/35.71 (declare-const tptp.r4 Bool) % 34.83/35.71 (declare-const tptp.r3 Bool) % 34.83/35.71 (declare-const tptp.implies_2 Bool) % 34.83/35.71 (declare-const tptp.and_2 Bool) % 34.83/35.71 (declare-const tptp.modus_tollens Bool) % 34.83/35.71 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 34.83/35.71 (declare-const tptp.op_or Bool) % 34.83/35.71 (declare-const tptp.or_1 Bool) % 34.83/35.71 (declare-const tptp.equivalence_3 Bool) % 34.83/35.71 (declare-const tptp.and_1 Bool) % 34.83/35.71 (declare-const tptp.equiv (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.71 (declare-const tptp.implies_3 Bool) % 34.83/35.71 (declare-const tptp.substitution_of_equivalents Bool) % 34.83/35.71 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.71 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.71 (declare-const tptp.op_implies_and Bool) % 34.83/35.71 (declare-const tptp.or_3 Bool) % 34.83/35.71 (declare-const tptp.equivalence_2 Bool) % 34.83/35.71 (declare-const tptp.modus_ponens Bool) % 34.83/35.71 (declare-const tptp.implies_1 Bool) % 34.83/35.71 (declare-const tptp.equivalence_1 Bool) % 34.83/35.71 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 34.83/35.71 (declare-const tptp.r5 Bool) % 34.83/35.71 (declare-const tptp.and_3 Bool) % 34.83/35.71 (declare-const tptp.cn3 Bool) % 34.83/35.71 (declare-const tptp.or_2 Bool) % 34.83/35.71 (declare-const tptp.kn1 Bool) % 34.83/35.71 (declare-const tptp.cn1 Bool) % 34.83/35.71 (declare-const tptp.kn2 Bool) % 34.83/35.71 (declare-const tptp.cn2 Bool) % 34.83/35.71 (declare-const tptp.kn3 Bool) % 34.83/35.71 (declare-const tptp.is_a_theorem (-> $$unsorted Bool)) % 34.83/35.71 (declare-const tptp.r1 Bool) % 34.83/35.71 (declare-const tptp.r2 Bool) % 34.83/35.71 (define @t1 () (@var "Y" $$unsorted)) % 34.83/35.71 (define @t2 () (tptp.is_a_theorem @t1)) % 34.83/35.71 (define @t3 () (@var "X" $$unsorted)) % 34.83/35.71 (define @t4 () (tptp.implies @t3 @t1)) % 34.83/35.71 (define @t5 () (tptp.is_a_theorem @t4)) % 34.83/35.71 (define @t6 () (tptp.is_a_theorem @t3)) % 34.83/35.71 (define @t7 () (and @t6 @t5)) % 34.83/35.71 (define @t8 () (@list @t3 @t1)) % 34.83/35.71 (define @t9 () (forall @t8 (=> @t7 @t2))) % 34.83/35.71 (define @t10 () (= tptp.modus_ponens @t9)) % 34.83/35.71 (define @t11 () (tptp.equiv @t3 @t1)) % 34.83/35.71 (define @t12 () (tptp.not @t3)) % 34.83/35.71 (define @t13 () (tptp.not @t1)) % 34.83/35.71 (define @t14 () (tptp.implies @t1 @t3)) % 34.83/35.71 (define @t15 () (@var "Z" $$unsorted)) % 34.83/35.71 (define @t16 () (tptp.implies @t3 @t15)) % 34.83/35.71 (define @t17 () (tptp.implies @t1 @t15)) % 34.83/35.71 (define @t18 () (@list @t3 @t1 @t15)) % 34.83/35.71 (define @t19 () (tptp.and @t3 @t1)) % 34.83/35.71 (define @t20 () (tptp.or @t3 @t1)) % 34.83/35.71 (define @t21 () (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t20)))) % 34.83/35.71 (define @t22 () (@var "P" $$unsorted)) % 34.83/35.71 (define @t23 () (@list @t22)) % 34.83/35.71 (define @t24 () (@var "Q" $$unsorted)) % 34.83/35.71 (define @t25 () (@list @t22 @t24)) % 34.83/35.71 (define @t26 () (@var "R" $$unsorted)) % 34.83/35.71 (define @t27 () (tptp.implies @t22 @t24)) % 34.83/35.71 (define @t28 () (@list @t22 @t24 @t26)) % 34.83/35.71 (define @t29 () (tptp.implies @t24 @t26)) % 34.83/35.71 (define @t30 () (tptp.not @t22)) % 34.83/35.71 (define @t31 () (tptp.or @t22 @t24)) % 34.83/35.71 (define @t32 () (tptp.or @t22 @t26)) % 34.83/35.71 (define @t33 () (forall @t8 (= @t20 (tptp.not (tptp.and @t12 @t13))))) % 34.83/35.71 (define @t34 () (=> tptp.op_or @t33)) % 34.83/35.71 (define @t35 () (forall @t8 (= @t4 (tptp.not (tptp.and @t3 @t13))))) % 34.83/35.71 (define @t36 () (=> tptp.op_implies_and @t35)) % 34.83/35.71 (define @t37 () (forall @t8 (= @t4 (tptp.or @t12 @t1)))) % 34.83/35.71 (define @t38 () (=> tptp.op_implies_or @t37)) % 34.83/35.71 (define @t39 () (not tptp.or_1)) % 34.83/35.71 (define @t40 () (@quantifiers_skolemize @t21 0)) % 34.83/35.71 (define @t41 () (@quantifiers_skolemize @t21 1)) % 34.83/35.71 (define @t42 () (tptp.or @t41 @t40)) % 34.83/35.71 (define @t43 () (tptp.not @t40)) % 34.83/35.71 (define @t44 () (not @t5)) % 34.83/35.71 (define @t45 () (not @t6)) % 34.83/35.71 (define @t46 () (tptp.or @t42 @t43)) % 34.83/35.71 (define @t47 () (tptp.or @t43 @t42)) % 34.83/35.71 (define @t48 () (@list @t41 @t40)) % 34.83/35.71 (define @t49 () (tptp.is_a_theorem @t47)) % 34.83/35.71 (define @t50 () (tptp.or @t40 @t41)) % 34.83/35.71 (define @t51 () (tptp.or @t50 @t43)) % 34.83/35.71 (define @t52 () (tptp.not @t42)) % 34.83/35.71 (define @t53 () (tptp.or @t50 @t52)) % 34.83/35.71 (define @t54 () (tptp.implies @t53 @t51)) % 34.83/35.71 (define @t55 () (tptp.implies @t52 @t43)) % 34.83/35.71 (define @t56 () (tptp.or @t52 @t50)) % 34.83/35.71 (define @t57 () (tptp.is_a_theorem @t56)) % 34.83/35.71 (define @t58 () (tptp.is_a_theorem @t53)) % 34.83/35.71 (define @t59 () (tptp.is_a_theorem (tptp.implies @t56 @t53))) % 34.83/35.71 (define @t60 () (not @t59)) % 34.83/35.71 (define @t61 () (not @t57)) % 34.83/35.71 (define @t62 () (or @t61 @t60 @t58)) % 34.83/35.71 (define @t63 () (tptp.or @t43 @t50)) % 34.83/35.71 (define @t64 () (tptp.is_a_theorem @t63)) % 34.83/35.71 (define @t65 () (tptp.is_a_theorem (tptp.implies @t51 @t63))) % 34.83/35.71 (define @t66 () (not @t65)) % 34.83/35.71 (define @t67 () (tptp.is_a_theorem @t51)) % 34.83/35.71 (define @t68 () (not @t67)) % 34.83/35.71 (define @t69 () (or @t68 @t66 @t64)) % 34.83/35.71 (define @t70 () (@list false true false)) % 34.83/35.71 (define @t71 () (tptp.is_a_theorem @t54)) % 34.83/35.71 (define @t72 () (not @t71)) % 34.83/35.71 (define @t73 () (not @t58)) % 34.83/35.71 (define @t74 () (or @t73 @t72 @t67)) % 34.83/35.71 (define @t75 () (tptp.is_a_theorem (tptp.implies @t55 @t54))) % 34.83/35.71 (define @t76 () (not @t75)) % 34.83/35.71 (define @t77 () (not (tptp.is_a_theorem @t55))) % 34.83/35.71 (define @t78 () (or @t77 @t76 @t71)) % 34.83/35.71 (define @t79 () (tptp.is_a_theorem @t46)) % 34.83/35.71 (define @t80 () (tptp.is_a_theorem (tptp.implies @t47 @t46))) % 34.83/35.71 (define @t81 () (not @t80)) % 34.83/35.71 (define @t82 () (not @t49)) % 34.83/35.71 (define @t83 () (or @t82 @t81 @t79)) % 34.83/35.71 (assume @p1 @t10) % 34.83/35.71 (assume @p2 (= tptp.substitution_of_equivalents (forall @t8 (=> (tptp.is_a_theorem @t11) (= @t3 @t1))))) % 34.83/35.71 (assume @p3 (= tptp.modus_tollens (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t13 @t12) @t4))))) % 34.83/35.71 (assume @p4 (= tptp.implies_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t14))))) % 34.83/35.71 (assume @p5 (= tptp.implies_2 (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t3 @t4) @t4))))) % 34.83/35.71 (assume @p6 (= tptp.implies_3 (forall @t18 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t17 @t16)))))) % 34.83/35.71 (assume @p7 (= tptp.and_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t19 @t3))))) % 34.83/35.71 (assume @p8 (= tptp.and_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t19 @t1))))) % 34.83/35.71 (assume @p9 (= tptp.and_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 (tptp.implies @t1 @t19)))))) % 34.83/35.71 (assume @p10 (= tptp.or_1 @t21)) % 34.83/35.71 (assume @p11 (= tptp.or_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t1 @t20))))) % 34.83/35.71 (assume @p12 (= tptp.or_3 (forall @t18 (tptp.is_a_theorem (tptp.implies @t16 (tptp.implies @t17 (tptp.implies @t20 @t15))))))) % 34.83/35.71 (assume @p13 (= tptp.equivalence_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t11 @t4))))) % 34.83/35.71 (assume @p14 (= tptp.equivalence_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t11 @t14))))) % 34.83/35.71 (assume @p15 (= tptp.equivalence_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t14 @t11)))))) % 34.83/35.71 (assume @p16 (= tptp.kn1 (forall @t23 (tptp.is_a_theorem (tptp.implies @t22 (tptp.and @t22 @t22)))))) % 34.83/35.71 (assume @p17 (= tptp.kn2 (forall @t25 (tptp.is_a_theorem (tptp.implies (tptp.and @t22 @t24) @t22))))) % 34.83/35.71 (assume @p18 (= tptp.kn3 (forall @t28 (tptp.is_a_theorem (tptp.implies @t27 (tptp.implies (tptp.not (tptp.and @t24 @t26)) (tptp.not (tptp.and @t26 @t22)))))))) % 34.83/35.71 (assume @p19 (= tptp.cn1 (forall @t28 (tptp.is_a_theorem (tptp.implies @t27 (tptp.implies @t29 (tptp.implies @t22 @t26))))))) % 34.83/35.71 (assume @p20 (= tptp.cn2 (forall @t25 (tptp.is_a_theorem (tptp.implies @t22 (tptp.implies @t30 @t24)))))) % 34.83/35.71 (assume @p21 (= tptp.cn3 (forall @t23 (tptp.is_a_theorem (tptp.implies (tptp.implies @t30 @t22) @t22))))) % 34.83/35.71 (assume @p22 (= tptp.r1 (forall @t23 (tptp.is_a_theorem (tptp.implies (tptp.or @t22 @t22) @t22))))) % 34.83/35.71 (assume @p23 (= tptp.r2 (forall @t25 (tptp.is_a_theorem (tptp.implies @t24 @t31))))) % 34.83/35.71 (assume @p24 (= tptp.r3 (forall @t25 (tptp.is_a_theorem (tptp.implies @t31 (tptp.or @t24 @t22)))))) % 34.83/35.71 (assume @p25 (= tptp.r4 (forall @t28 (tptp.is_a_theorem (tptp.implies (tptp.or @t22 (tptp.or @t24 @t26)) (tptp.or @t24 @t32)))))) % 34.83/35.71 (assume @p26 (= tptp.r5 (forall @t28 (tptp.is_a_theorem (tptp.implies @t29 (tptp.implies @t31 @t32)))))) % 34.83/35.71 (assume @p27 @t34) % 34.83/35.71 (assume @p28 (=> tptp.op_and (forall @t8 (= @t19 (tptp.not (tptp.or @t12 @t13)))))) % 34.83/35.71 (assume @p29 @t36) % 34.83/35.71 (assume @p30 @t38) % 34.83/35.71 (assume @p31 (=> tptp.op_equiv (forall @t8 (= @t11 (tptp.and @t4 @t14))))) % 34.83/35.71 (assume @p32 tptp.op_implies_or) % 34.83/35.71 (assume @p33 tptp.op_and) % 34.83/35.71 (assume @p34 tptp.op_equiv) % 34.83/35.71 (assume @p35 tptp.modus_ponens) % 34.83/35.71 (assume @p36 tptp.r1) % 34.83/35.71 (assume @p37 tptp.r2) % 34.83/35.71 (assume @p38 tptp.r3) % 34.83/35.71 (assume @p39 tptp.r4) % 34.83/35.71 (assume @p40 tptp.r5) % 34.83/35.71 (assume @p41 tptp.substitution_of_equivalents) % 34.83/35.71 (assume @p42 tptp.op_or) % 34.83/35.71 (assume @p43 tptp.op_implies_and) % 34.83/35.71 (assume @p44 @t39) % 34.83/35.71 (assume @p45 true) % 34.83/35.71 (step @p46 :rule eq_resolve :premises (@p38 @p24)) % 34.83/35.71 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t43 @t42))) % 34.83/35.71 (step @p48 :rule aci_norm :args ((= (or (or @t45 @t44) @t2) (or @t45 @t44 @t2)))) % 34.83/35.71 (step @p49 :rule refl :args (@t2)) % 34.83/35.71 (step @p50 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 34.83/35.71 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or (not @t7) @t2))) % 34.83/35.71 (step @p52 :rule trans :premises (@p51 @p48)) % 34.83/35.71 (step @p53 :rule bool-impl-elim :args (@t7 @t2)) % 34.83/35.71 (step @p54 :rule trans :premises (@p53 @p52)) % 34.83/35.71 (step @p55 :rule cong :premises (@p54) :args (@t9)) % 34.83/35.71 (step @p56 :rule refl :args (tptp.modus_ponens)) % 34.83/35.71 (step @p57 :rule cong :premises (@p56 @p55) :args (@t10)) % 34.83/35.71 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 34.83/35.71 (step @p59 :rule eq_resolve :premises (@p35 @p58)) % 34.83/35.71 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t47 @t46))) % 34.83/35.71 (step @p61 :rule eq_resolve :premises (@p37 @p23)) % 34.83/35.71 (step @p62 :rule instantiate :premises (@p61) :args (@t48)) % 34.83/35.71 (step @p63 :rule true_intro :premises (@p62)) % 34.83/35.71 (step @p64 :rule bool-impl-true2 :args (@t37)) % 34.83/35.71 (step @p65 :rule refl :args (@t37)) % 34.83/35.71 (step @p66 :rule bool-eq-true :args (tptp.op_implies_or)) % 34.83/35.71 (step @p67 :rule symm :premises (@p66)) % 34.83/35.71 (step @p68 :rule eq_resolve :premises (@p32 @p67)) % 34.83/35.71 (step @p69 :rule cong :premises (@p68 @p65) :args (@t38)) % 34.83/35.71 (step @p70 :rule trans :premises (@p69 @p64)) % 34.83/35.71 (step @p71 :rule eq_resolve :premises (@p30 @p70)) % 34.83/35.71 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t40 @t42))) % 34.83/35.71 (step @p73 :rule symm :premises (@p72)) % 34.83/35.71 (step @p74 :rule cong :premises (@p73) :args (@t49)) % 34.83/35.71 (step @p75 :rule trans :premises (@p74 @p63)) % 34.83/35.71 (step @p76 :rule true_elim :premises (@p75)) % 34.83/35.71 (step @p77 :rule instantiate :premises (@p59) :args ((@list @t55 @t54))) % 34.83/35.71 (step @p78 :rule instantiate :premises (@p59) :args ((@list @t53 @t51))) % 34.83/35.71 (step @p79 :rule instantiate :premises (@p59) :args ((@list @t56 @t53))) % 34.83/35.71 (step @p80 :rule instantiate :premises (@p46) :args (@t48)) % 34.83/35.71 (step @p81 :rule true_intro :premises (@p80)) % 34.83/35.71 (step @p82 :rule instantiate :premises (@p71) :args ((@list @t42 @t50))) % 34.83/35.71 (step @p83 :rule symm :premises (@p82)) % 34.83/35.71 (step @p84 :rule cong :premises (@p83) :args (@t57)) % 34.83/35.71 (step @p85 :rule trans :premises (@p84 @p81)) % 34.83/35.71 (step @p86 :rule true_elim :premises (@p85)) % 34.83/35.71 (step @p87 :rule instantiate :premises (@p46) :args ((@list @t52 @t50))) % 34.83/35.71 (step @p88 :rule cnf_or_pos :args (@t62)) % 34.83/35.71 (step @p89 :rule reordering :premises (@p88) :args ((or @t60 @t61 @t58 (not @t62)))) % 34.83/35.71 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p86 @p79) :args (@t58 (@list false false false) (@list @t59 @t57 @t62))) % 34.83/35.71 (step @p91 :rule instantiate :premises (@p59) :args ((@list @t51 @t63))) % 34.83/35.71 (step @p92 :rule cong :premises (@p10) :args (@t39)) % 34.83/35.71 (step @p93 :rule eq_resolve :premises (@p44 @p92)) % 34.83/35.71 (step @p94 :rule skolemize :premises (@p93)) % 34.83/35.71 (step @p95 :rule false_intro :premises (@p94)) % 34.83/35.71 (step @p96 :rule instantiate :premises (@p71) :args ((@list @t40 @t50))) % 34.83/35.71 (step @p97 :rule symm :premises (@p96)) % 34.83/35.71 (step @p98 :rule cong :premises (@p97) :args (@t64)) % 34.83/35.71 (step @p99 :rule trans :premises (@p98 @p95)) % 34.83/35.71 (step @p100 :rule false_elim :premises (@p99)) % 34.83/35.71 (step @p101 :rule instantiate :premises (@p46) :args ((@list @t50 @t43))) % 34.83/35.71 (step @p102 :rule cnf_or_pos :args (@t69)) % 34.83/35.71 (step @p103 :rule reordering :premises (@p102) :args ((or @t66 @t68 @t64 (not @t69)))) % 34.83/35.71 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p100 @p91) :args (@t68 @t70 (@list @t65 @t64 @t69))) % 34.83/35.71 (step @p105 :rule cnf_or_pos :args (@t74)) % 34.83/35.71 (step @p106 :rule reordering :premises (@p105) :args ((or @t67 @t73 @t72 (not @t74)))) % 34.83/35.71 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p90 @p78) :args (@t72 (@list true false false) (@list @t67 @t58 @t74))) % 34.83/35.71 (step @p108 :rule eq_resolve :premises (@p40 @p26)) % 34.83/35.71 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t50 @t52 @t43))) % 34.83/35.71 (step @p110 :rule cnf_or_pos :args (@t78)) % 34.83/35.71 (step @p111 :rule reordering :premises (@p110) :args ((or @t76 @t77 @t71 (not @t78)))) % 34.83/35.71 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p107 @p77) :args (@t77 @t70 (@list @t75 @t71 @t78))) % 34.83/35.72 (step @p113 :rule false_intro :premises (@p112)) % 34.83/35.72 (step @p114 :rule bool-impl-true2 :args (@t35)) % 34.83/35.72 (step @p115 :rule refl :args (@t35)) % 34.83/35.72 (step @p116 :rule bool-eq-true :args (tptp.op_implies_and)) % 34.83/35.72 (step @p117 :rule symm :premises (@p116)) % 34.83/35.72 (step @p118 :rule eq_resolve :premises (@p43 @p117)) % 34.83/35.72 (step @p119 :rule cong :premises (@p118 @p115) :args (@t36)) % 34.83/35.72 (step @p120 :rule trans :premises (@p119 @p114)) % 34.83/35.72 (step @p121 :rule eq_resolve :premises (@p29 @p120)) % 34.83/35.72 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t52 @t43))) % 34.83/35.72 (step @p123 :rule symm :premises (@p122)) % 34.83/35.72 (step @p124 :rule bool-impl-true2 :args (@t33)) % 34.83/35.72 (step @p125 :rule refl :args (@t33)) % 34.83/35.72 (step @p126 :rule bool-eq-true :args (tptp.op_or)) % 34.83/35.72 (step @p127 :rule symm :premises (@p126)) % 34.83/35.72 (step @p128 :rule eq_resolve :premises (@p42 @p127)) % 34.83/35.72 (step @p129 :rule cong :premises (@p128 @p125) :args (@t34)) % 34.83/35.72 (step @p130 :rule trans :premises (@p129 @p124)) % 34.83/35.72 (step @p131 :rule eq_resolve :premises (@p27 @p130)) % 34.83/35.72 (step @p132 :rule instantiate :premises (@p131) :args ((@list @t42 @t43))) % 34.83/35.72 (step @p133 :rule trans :premises (@p132 @p123)) % 34.83/35.72 (step @p134 :rule cong :premises (@p133) :args (@t79)) % 34.83/35.72 (step @p135 :rule trans :premises (@p134 @p113)) % 34.83/35.72 (step @p136 :rule false_elim :premises (@p135)) % 34.83/35.72 (step @p137 :rule cnf_or_pos :args (@t83)) % 34.83/35.72 (step @p138 :rule reordering :premises (@p137) :args ((or @t81 @t82 @t79 (not @t83)))) % 34.83/35.72 (step @p139 false :rule chain_m_resolution :premises (@p138 @p136 @p76 @p60 @p47) :args (false (@list true false false false) (@list @t79 @t49 @t83 @t80))) % 34.83/35.72 ) % 34.83/35.72 % SZS output end Proof % 34.83/35.72 % cvc5 exiting %------------------------------------------------------------------------------