%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL489+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 : n027.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 121.90s 123.80s % Output : Proof 111.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : LCL489+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.08 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.21/0.46 % Computer : n027.cluster.edu % 0.21/0.46 % Model : x86_64 x86_64 % 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.21/0.46 % Memory : 8046.5625MB % 0.21/0.46 % OS : Linux 6.8.0-71-generic % 0.21/0.47 % CPULimit : 300 % 0.21/0.47 % WCLimit : 300 % 0.21/0.47 % DateTime : Fri Sep 4 22:58:57 UTC 2026 % 0.21/0.47 % CPUTime : % 0.25/0.60 %----Proving TF0_NAR, FOF, or CNF % 121.90/123.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 121.90/123.80 --- Run --no-e-matching --full-saturate-quant at 6... % 121.90/123.80 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 121.90/123.80 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 121.90/123.80 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 121.90/123.80 --- Run --trigger-sel=max --full-saturate-quant at 15... % 121.90/123.80 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 121.90/123.80 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 121.90/123.80 % SZS status Theorem % 121.90/123.80 % SZS output start Proof % 121.90/123.80 ( % 121.90/123.80 (declare-sort $$unsorted 0) % 121.90/123.80 (declare-const tptp.op_equiv Bool) % 121.90/123.80 (declare-const tptp.op_implies_or Bool) % 121.90/123.80 (declare-const tptp.op_and Bool) % 121.90/123.80 (declare-const tptp.r4 Bool) % 121.90/123.80 (declare-const tptp.r3 Bool) % 121.90/123.80 (declare-const tptp.implies_2 Bool) % 121.90/123.80 (declare-const tptp.and_2 Bool) % 121.90/123.80 (declare-const tptp.modus_tollens Bool) % 121.90/123.80 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 121.90/123.80 (declare-const tptp.op_or Bool) % 121.90/123.80 (declare-const tptp.or_1 Bool) % 121.90/123.80 (declare-const tptp.equivalence_3 Bool) % 121.90/123.80 (declare-const tptp.and_1 Bool) % 121.90/123.80 (declare-const tptp.equiv (-> $$unsorted $$unsorted $$unsorted)) % 121.90/123.80 (declare-const tptp.implies_3 Bool) % 121.90/123.80 (declare-const tptp.substitution_of_equivalents Bool) % 121.90/123.80 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 121.90/123.80 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 121.90/123.80 (declare-const tptp.op_implies_and Bool) % 121.90/123.80 (declare-const tptp.or_3 Bool) % 121.90/123.80 (declare-const tptp.equivalence_2 Bool) % 121.90/123.80 (declare-const tptp.modus_ponens Bool) % 121.90/123.80 (declare-const tptp.implies_1 Bool) % 121.90/123.80 (declare-const tptp.equivalence_1 Bool) % 121.90/123.80 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 121.90/123.80 (declare-const tptp.r5 Bool) % 121.90/123.80 (declare-const tptp.and_3 Bool) % 121.90/123.80 (declare-const tptp.cn3 Bool) % 121.90/123.80 (declare-const tptp.or_2 Bool) % 121.90/123.80 (declare-const tptp.kn1 Bool) % 121.90/123.80 (declare-const tptp.cn1 Bool) % 121.90/123.80 (declare-const tptp.kn2 Bool) % 121.90/123.80 (declare-const tptp.cn2 Bool) % 121.90/123.80 (declare-const tptp.kn3 Bool) % 121.90/123.80 (declare-const tptp.is_a_theorem (-> $$unsorted Bool)) % 121.90/123.80 (declare-const tptp.r1 Bool) % 121.90/123.80 (declare-const tptp.r2 Bool) % 121.90/123.80 (define @t1 () (@var "Y" $$unsorted)) % 121.90/123.80 (define @t2 () (tptp.is_a_theorem @t1)) % 121.90/123.80 (define @t3 () (@var "X" $$unsorted)) % 121.90/123.80 (define @t4 () (tptp.implies @t3 @t1)) % 121.90/123.80 (define @t5 () (tptp.is_a_theorem @t4)) % 121.90/123.80 (define @t6 () (tptp.is_a_theorem @t3)) % 121.90/123.80 (define @t7 () (and @t6 @t5)) % 121.90/123.80 (define @t8 () (@list @t3 @t1)) % 121.90/123.80 (define @t9 () (forall @t8 (=> @t7 @t2))) % 121.90/123.80 (define @t10 () (= tptp.modus_ponens @t9)) % 121.90/123.80 (define @t11 () (tptp.equiv @t3 @t1)) % 121.90/123.80 (define @t12 () (tptp.not @t3)) % 121.90/123.80 (define @t13 () (tptp.not @t1)) % 121.90/123.80 (define @t14 () (tptp.implies @t1 @t3)) % 121.90/123.80 (define @t15 () (@var "Z" $$unsorted)) % 121.90/123.80 (define @t16 () (tptp.implies @t3 @t15)) % 121.90/123.80 (define @t17 () (tptp.implies @t1 @t15)) % 121.90/123.80 (define @t18 () (@list @t3 @t1 @t15)) % 121.90/123.80 (define @t19 () (tptp.and @t3 @t1)) % 121.90/123.80 (define @t20 () (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 (tptp.implies @t1 @t19))))) % 121.90/123.80 (define @t21 () (tptp.or @t3 @t1)) % 121.90/123.80 (define @t22 () (@var "P" $$unsorted)) % 121.90/123.80 (define @t23 () (@list @t22)) % 121.90/123.80 (define @t24 () (@var "Q" $$unsorted)) % 121.90/123.80 (define @t25 () (@list @t22 @t24)) % 121.90/123.80 (define @t26 () (@var "R" $$unsorted)) % 121.90/123.80 (define @t27 () (tptp.implies @t22 @t24)) % 121.90/123.80 (define @t28 () (@list @t22 @t24 @t26)) % 121.90/123.80 (define @t29 () (tptp.implies @t24 @t26)) % 121.90/123.80 (define @t30 () (tptp.not @t22)) % 121.90/123.80 (define @t31 () (tptp.or @t22 @t24)) % 121.90/123.80 (define @t32 () (tptp.or @t22 @t26)) % 121.90/123.80 (define @t33 () (forall @t8 (= @t19 (tptp.not (tptp.or @t12 @t13))))) % 121.90/123.80 (define @t34 () (=> tptp.op_and @t33)) % 121.90/123.80 (define @t35 () (forall @t8 (= @t4 (tptp.or @t12 @t1)))) % 121.90/123.80 (define @t36 () (=> tptp.op_implies_or @t35)) % 121.90/123.80 (define @t37 () (not tptp.and_3)) % 121.90/123.80 (define @t38 () (not @t5)) % 121.90/123.80 (define @t39 () (not @t6)) % 121.90/123.80 (define @t40 () (@quantifiers_skolemize @t20 1)) % 121.90/123.80 (define @t41 () (@quantifiers_skolemize @t20 0)) % 121.90/123.80 (define @t42 () (tptp.and @t41 @t40)) % 121.90/123.80 (define @t43 () (tptp.not @t41)) % 121.90/123.80 (define @t44 () (tptp.or @t43 @t42)) % 121.90/123.80 (define @t45 () (tptp.not @t40)) % 121.90/123.80 (define @t46 () (tptp.or @t45 @t44)) % 121.90/123.80 (define @t47 () (tptp.or @t43 @t45)) % 121.90/123.80 (define @t48 () (tptp.not @t47)) % 121.90/123.80 (define @t49 () (tptp.or @t48 @t43)) % 121.90/123.80 (define @t50 () (tptp.or @t45 @t49)) % 121.90/123.80 (define @t51 () (tptp.implies @t50 @t46)) % 121.90/123.80 (define @t52 () (tptp.implies @t49 @t44)) % 121.90/123.80 (define @t53 () (tptp.or @t45 @t43)) % 121.90/123.80 (define @t54 () (tptp.or @t48 @t53)) % 121.90/123.80 (define @t55 () (tptp.is_a_theorem @t54)) % 121.90/123.80 (define @t56 () (tptp.is_a_theorem @t50)) % 121.90/123.80 (define @t57 () (tptp.is_a_theorem (tptp.implies @t54 @t50))) % 121.90/123.80 (define @t58 () (not @t57)) % 121.90/123.80 (define @t59 () (not @t55)) % 121.90/123.80 (define @t60 () (or @t59 @t58 @t56)) % 121.90/123.80 (define @t61 () (tptp.or @t43 (tptp.or @t45 @t42))) % 121.90/123.80 (define @t62 () (tptp.is_a_theorem @t61)) % 121.90/123.80 (define @t63 () (tptp.is_a_theorem (tptp.implies @t46 @t61))) % 121.90/123.80 (define @t64 () (not @t63)) % 121.90/123.80 (define @t65 () (tptp.is_a_theorem @t46)) % 121.90/123.80 (define @t66 () (not @t65)) % 121.90/123.80 (define @t67 () (or @t66 @t64 @t62)) % 121.90/123.80 (define @t68 () (@list false true false)) % 121.90/123.80 (define @t69 () (tptp.is_a_theorem @t51)) % 121.90/123.80 (define @t70 () (not @t69)) % 121.90/123.80 (define @t71 () (not @t56)) % 121.90/123.80 (define @t72 () (or @t71 @t70 @t65)) % 121.90/123.80 (define @t73 () (tptp.is_a_theorem (tptp.implies @t52 @t51))) % 121.90/123.80 (define @t74 () (not @t73)) % 121.90/123.80 (define @t75 () (not (tptp.is_a_theorem @t52))) % 121.90/123.80 (define @t76 () (or @t75 @t74 @t69)) % 121.90/123.80 (define @t77 () (tptp.or @t42 @t43)) % 121.90/123.80 (define @t78 () (tptp.implies @t77 @t44)) % 121.90/123.80 (assume @p1 @t10) % 121.90/123.80 (assume @p2 (= tptp.substitution_of_equivalents (forall @t8 (=> (tptp.is_a_theorem @t11) (= @t3 @t1))))) % 121.90/123.80 (assume @p3 (= tptp.modus_tollens (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t13 @t12) @t4))))) % 121.90/123.80 (assume @p4 (= tptp.implies_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t14))))) % 121.90/123.80 (assume @p5 (= tptp.implies_2 (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t3 @t4) @t4))))) % 121.90/123.80 (assume @p6 (= tptp.implies_3 (forall @t18 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t17 @t16)))))) % 121.90/123.80 (assume @p7 (= tptp.and_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t19 @t3))))) % 121.90/123.80 (assume @p8 (= tptp.and_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t19 @t1))))) % 121.90/123.80 (assume @p9 (= tptp.and_3 @t20)) % 121.90/123.80 (assume @p10 (= tptp.or_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t21))))) % 121.90/123.80 (assume @p11 (= tptp.or_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t1 @t21))))) % 121.90/123.80 (assume @p12 (= tptp.or_3 (forall @t18 (tptp.is_a_theorem (tptp.implies @t16 (tptp.implies @t17 (tptp.implies @t21 @t15))))))) % 121.90/123.80 (assume @p13 (= tptp.equivalence_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t11 @t4))))) % 121.90/123.80 (assume @p14 (= tptp.equivalence_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t11 @t14))))) % 121.90/123.80 (assume @p15 (= tptp.equivalence_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t14 @t11)))))) % 121.90/123.80 (assume @p16 (= tptp.kn1 (forall @t23 (tptp.is_a_theorem (tptp.implies @t22 (tptp.and @t22 @t22)))))) % 121.90/123.80 (assume @p17 (= tptp.kn2 (forall @t25 (tptp.is_a_theorem (tptp.implies (tptp.and @t22 @t24) @t22))))) % 121.90/123.80 (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)))))))) % 121.90/123.80 (assume @p19 (= tptp.cn1 (forall @t28 (tptp.is_a_theorem (tptp.implies @t27 (tptp.implies @t29 (tptp.implies @t22 @t26))))))) % 121.90/123.80 (assume @p20 (= tptp.cn2 (forall @t25 (tptp.is_a_theorem (tptp.implies @t22 (tptp.implies @t30 @t24)))))) % 121.90/123.80 (assume @p21 (= tptp.cn3 (forall @t23 (tptp.is_a_theorem (tptp.implies (tptp.implies @t30 @t22) @t22))))) % 121.90/123.80 (assume @p22 (= tptp.r1 (forall @t23 (tptp.is_a_theorem (tptp.implies (tptp.or @t22 @t22) @t22))))) % 121.90/123.80 (assume @p23 (= tptp.r2 (forall @t25 (tptp.is_a_theorem (tptp.implies @t24 @t31))))) % 121.90/123.80 (assume @p24 (= tptp.r3 (forall @t25 (tptp.is_a_theorem (tptp.implies @t31 (tptp.or @t24 @t22)))))) % 121.90/123.80 (assume @p25 (= tptp.r4 (forall @t28 (tptp.is_a_theorem (tptp.implies (tptp.or @t22 (tptp.or @t24 @t26)) (tptp.or @t24 @t32)))))) % 121.90/123.80 (assume @p26 (= tptp.r5 (forall @t28 (tptp.is_a_theorem (tptp.implies @t29 (tptp.implies @t31 @t32)))))) % 121.90/123.80 (assume @p27 (=> tptp.op_or (forall @t8 (= @t21 (tptp.not (tptp.and @t12 @t13)))))) % 121.90/123.80 (assume @p28 @t34) % 121.90/123.80 (assume @p29 (=> tptp.op_implies_and (forall @t8 (= @t4 (tptp.not (tptp.and @t3 @t13)))))) % 121.90/123.80 (assume @p30 @t36) % 121.90/123.80 (assume @p31 (=> tptp.op_equiv (forall @t8 (= @t11 (tptp.and @t4 @t14))))) % 121.90/123.80 (assume @p32 tptp.op_implies_or) % 121.90/123.80 (assume @p33 tptp.op_and) % 121.90/123.80 (assume @p34 tptp.op_equiv) % 121.90/123.80 (assume @p35 tptp.modus_ponens) % 121.90/123.80 (assume @p36 tptp.r1) % 121.90/123.80 (assume @p37 tptp.r2) % 121.90/123.80 (assume @p38 tptp.r3) % 121.90/123.80 (assume @p39 tptp.r4) % 121.90/123.80 (assume @p40 tptp.r5) % 121.90/123.80 (assume @p41 tptp.substitution_of_equivalents) % 121.90/123.80 (assume @p42 tptp.op_or) % 121.90/123.80 (assume @p43 tptp.op_implies_and) % 121.90/123.80 (assume @p44 @t37) % 121.90/123.80 (assume @p45 true) % 121.90/123.80 (step @p46 :rule evaluate :args ((= true false))) % 121.90/123.80 (step @p47 :rule aci_norm :args ((= (or (or @t39 @t38) @t2) (or @t39 @t38 @t2)))) % 121.90/123.80 (step @p48 :rule refl :args (@t2)) % 121.90/123.80 (step @p49 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 121.90/123.80 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t7) @t2))) % 121.90/123.80 (step @p51 :rule trans :premises (@p50 @p47)) % 121.90/123.80 (step @p52 :rule bool-impl-elim :args (@t7 @t2)) % 121.90/123.80 (step @p53 :rule trans :premises (@p52 @p51)) % 121.90/123.80 (step @p54 :rule cong :premises (@p53) :args (@t9)) % 121.90/123.80 (step @p55 :rule refl :args (tptp.modus_ponens)) % 121.90/123.80 (step @p56 :rule cong :premises (@p55 @p54) :args (@t10)) % 121.90/123.80 (step @p57 :rule eq_resolve :premises (@p1 @p56)) % 121.90/123.80 (step @p58 :rule eq_resolve :premises (@p35 @p57)) % 121.90/123.80 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t52 @t51))) % 121.90/123.80 (step @p60 :rule instantiate :premises (@p58) :args ((@list @t50 @t46))) % 121.90/123.80 (step @p61 :rule instantiate :premises (@p58) :args ((@list @t54 @t50))) % 121.90/123.80 (step @p62 :rule eq_resolve :premises (@p38 @p24)) % 121.90/123.80 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t43 @t45))) % 121.90/123.80 (step @p64 :rule true_intro :premises (@p63)) % 121.90/123.80 (step @p65 :rule bool-impl-true2 :args (@t35)) % 121.90/123.80 (step @p66 :rule refl :args (@t35)) % 121.90/123.80 (step @p67 :rule bool-eq-true :args (tptp.op_implies_or)) % 121.90/123.80 (step @p68 :rule symm :premises (@p67)) % 121.90/123.80 (step @p69 :rule eq_resolve :premises (@p32 @p68)) % 121.90/123.80 (step @p70 :rule cong :premises (@p69 @p66) :args (@t36)) % 121.90/123.80 (step @p71 :rule trans :premises (@p70 @p65)) % 121.90/123.80 (step @p72 :rule eq_resolve :premises (@p30 @p71)) % 121.90/123.80 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t47 @t53))) % 121.90/123.80 (step @p74 :rule symm :premises (@p73)) % 121.90/123.80 (step @p75 :rule cong :premises (@p74) :args (@t55)) % 121.90/123.80 (step @p76 :rule trans :premises (@p75 @p64)) % 121.90/123.80 (step @p77 :rule true_elim :premises (@p76)) % 121.90/123.80 (step @p78 :rule eq_resolve :premises (@p39 @p25)) % 121.90/123.80 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t48 @t45 @t43))) % 121.90/123.80 (step @p80 :rule cnf_or_pos :args (@t60)) % 121.90/123.80 (step @p81 :rule reordering :premises (@p80) :args ((or @t58 @t59 @t56 (not @t60)))) % 121.90/123.80 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p77 @p61) :args (@t56 (@list false false false) (@list @t57 @t55 @t60))) % 121.90/123.80 (step @p83 :rule instantiate :premises (@p58) :args ((@list @t46 @t61))) % 121.90/123.80 (step @p84 :rule cong :premises (@p9) :args (@t37)) % 121.90/123.80 (step @p85 :rule eq_resolve :premises (@p44 @p84)) % 121.90/123.80 (step @p86 :rule skolemize :premises (@p85)) % 121.90/123.80 (step @p87 :rule false_intro :premises (@p86)) % 121.90/123.80 (step @p88 :rule instantiate :premises (@p72) :args ((@list @t41 (tptp.implies @t40 @t42)))) % 121.90/123.80 (step @p89 :rule symm :premises (@p88)) % 121.90/123.80 (step @p90 :rule instantiate :premises (@p72) :args ((@list @t40 @t42))) % 121.90/123.80 (step @p91 :rule symm :premises (@p90)) % 121.90/123.80 (step @p92 :rule refl :args (@t43)) % 121.90/123.80 (step @p93 :rule cong :premises (@p92 @p91) :args (@t61)) % 121.90/123.80 (step @p94 :rule trans :premises (@p93 @p89)) % 121.90/123.80 (step @p95 :rule cong :premises (@p94) :args (@t62)) % 121.90/123.80 (step @p96 :rule trans :premises (@p95 @p87)) % 121.90/123.80 (step @p97 :rule false_elim :premises (@p96)) % 121.90/123.80 (step @p98 :rule instantiate :premises (@p78) :args ((@list @t45 @t43 @t42))) % 121.90/123.80 (step @p99 :rule cnf_or_pos :args (@t67)) % 121.90/123.80 (step @p100 :rule reordering :premises (@p99) :args ((or @t64 @t66 @t62 (not @t67)))) % 121.90/123.80 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p97 @p83) :args (@t66 @t68 (@list @t63 @t62 @t67))) % 121.90/123.80 (step @p102 :rule cnf_or_pos :args (@t72)) % 121.90/123.80 (step @p103 :rule reordering :premises (@p102) :args ((or @t65 @t71 @t70 (not @t72)))) % 121.90/123.80 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p82 @p60) :args (@t70 (@list true false false) (@list @t65 @t56 @t72))) % 121.90/123.80 (step @p105 :rule eq_resolve :premises (@p40 @p26)) % 121.90/123.80 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t45 @t49 @t44))) % 121.90/123.80 (step @p107 :rule cnf_or_pos :args (@t76)) % 121.90/123.80 (step @p108 :rule reordering :premises (@p107) :args ((or @t74 @t75 @t69 (not @t76)))) % 121.90/123.80 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p104 @p59) :args (@t75 @t68 (@list @t73 @t69 @t76))) % 121.90/123.80 (step @p110 :rule false_intro :premises (@p109)) % 111.70/123.84 (step @p111 :rule refl :args (@t44)) % 111.70/123.84 (step @p112 :rule bool-impl-true2 :args (@t33)) % 111.70/123.84 (step @p113 :rule refl :args (@t33)) % 111.70/123.84 (step @p114 :rule bool-eq-true :args (tptp.op_and)) % 111.70/123.84 (step @p115 :rule symm :premises (@p114)) % 111.70/123.84 (step @p116 :rule eq_resolve :premises (@p33 @p115)) % 111.70/123.84 (step @p117 :rule cong :premises (@p116 @p113) :args (@t34)) % 111.70/123.84 (step @p118 :rule trans :premises (@p117 @p112)) % 111.70/123.84 (step @p119 :rule eq_resolve :premises (@p28 @p118)) % 111.70/123.84 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t41 @t40))) % 111.70/123.84 (step @p121 :rule cong :premises (@p120 @p92) :args (@t77)) % 111.70/123.84 (step @p122 :rule cong :premises (@p121 @p111) :args (@t78)) % 111.70/123.84 (step @p123 :rule cong :premises (@p122) :args ((tptp.is_a_theorem @t78))) % 111.70/123.84 (step @p124 :rule instantiate :premises (@p62) :args ((@list @t42 @t43))) % 111.70/123.84 (step @p125 :rule true_intro :premises (@p124)) % 111.70/123.84 (step @p126 :rule symm :premises (@p125)) % 111.70/123.84 (step @p127 :rule trans :premises (@p126 @p123 @p110)) % 111.70/123.84 (step @p128 false :rule eq_resolve :premises (@p127 @p46)) % 111.70/123.84 ) % 111.70/123.84 % SZS output end Proof % 111.70/123.85 % cvc5 exiting %------------------------------------------------------------------------------