%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL493+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 115.53s 116.87s % Output : Proof 115.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL493+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.35 % Computer : n017.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 19:25:06 UTC 2026 % 0.10/0.36 % CPUTime : % 0.14/0.44 %----Proving TF0_NAR, FOF, or CNF % 115.53/116.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 115.53/116.87 --- Run --no-e-matching --full-saturate-quant at 6... % 115.53/116.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 115.53/116.87 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 115.53/116.87 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 115.53/116.87 --- Run --trigger-sel=max --full-saturate-quant at 15... % 115.53/116.87 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 115.53/116.87 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 115.53/116.87 % SZS status Theorem % 115.53/116.87 % SZS output start Proof % 115.53/116.87 ( % 115.53/116.87 (declare-sort $$unsorted 0) % 115.53/116.87 (declare-const tptp.op_equiv Bool) % 115.53/116.87 (declare-const tptp.op_implies_or Bool) % 115.53/116.87 (declare-const tptp.op_and Bool) % 115.53/116.87 (declare-const tptp.r4 Bool) % 115.53/116.87 (declare-const tptp.r3 Bool) % 115.53/116.87 (declare-const tptp.implies_2 Bool) % 115.53/116.87 (declare-const tptp.and_2 Bool) % 115.53/116.87 (declare-const tptp.modus_tollens Bool) % 115.53/116.87 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 115.53/116.87 (declare-const tptp.op_or Bool) % 115.53/116.87 (declare-const tptp.or_1 Bool) % 115.53/116.87 (declare-const tptp.equivalence_3 Bool) % 115.53/116.87 (declare-const tptp.and_1 Bool) % 115.53/116.87 (declare-const tptp.equiv (-> $$unsorted $$unsorted $$unsorted)) % 115.53/116.87 (declare-const tptp.implies_3 Bool) % 115.53/116.87 (declare-const tptp.substitution_of_equivalents Bool) % 115.53/116.87 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 115.53/116.87 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 115.53/116.87 (declare-const tptp.op_implies_and Bool) % 115.53/116.87 (declare-const tptp.or_3 Bool) % 115.53/116.87 (declare-const tptp.equivalence_2 Bool) % 115.53/116.87 (declare-const tptp.modus_ponens Bool) % 115.53/116.87 (declare-const tptp.implies_1 Bool) % 115.53/116.87 (declare-const tptp.equivalence_1 Bool) % 115.53/116.87 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 115.53/116.87 (declare-const tptp.r5 Bool) % 115.53/116.87 (declare-const tptp.and_3 Bool) % 115.53/116.87 (declare-const tptp.cn3 Bool) % 115.53/116.87 (declare-const tptp.or_2 Bool) % 115.53/116.87 (declare-const tptp.kn1 Bool) % 115.53/116.87 (declare-const tptp.cn1 Bool) % 115.53/116.87 (declare-const tptp.kn2 Bool) % 115.53/116.87 (declare-const tptp.cn2 Bool) % 115.53/116.87 (declare-const tptp.kn3 Bool) % 115.53/116.87 (declare-const tptp.is_a_theorem (-> $$unsorted Bool)) % 115.53/116.87 (declare-const tptp.r1 Bool) % 115.53/116.87 (declare-const tptp.r2 Bool) % 115.53/116.87 (define @t1 () (@var "Y" $$unsorted)) % 115.53/116.87 (define @t2 () (tptp.is_a_theorem @t1)) % 115.53/116.87 (define @t3 () (@var "X" $$unsorted)) % 115.53/116.87 (define @t4 () (tptp.implies @t3 @t1)) % 115.53/116.87 (define @t5 () (tptp.is_a_theorem @t4)) % 115.53/116.87 (define @t6 () (tptp.is_a_theorem @t3)) % 115.53/116.87 (define @t7 () (and @t6 @t5)) % 115.53/116.87 (define @t8 () (@list @t3 @t1)) % 115.53/116.87 (define @t9 () (forall @t8 (=> @t7 @t2))) % 115.53/116.87 (define @t10 () (= tptp.modus_ponens @t9)) % 115.53/116.87 (define @t11 () (tptp.equiv @t3 @t1)) % 115.53/116.87 (define @t12 () (tptp.not @t3)) % 115.53/116.87 (define @t13 () (tptp.not @t1)) % 115.53/116.87 (define @t14 () (tptp.implies @t1 @t3)) % 115.53/116.87 (define @t15 () (@var "Z" $$unsorted)) % 115.53/116.87 (define @t16 () (tptp.implies @t3 @t15)) % 115.53/116.87 (define @t17 () (tptp.implies @t1 @t15)) % 115.53/116.87 (define @t18 () (@list @t3 @t1 @t15)) % 115.53/116.87 (define @t19 () (tptp.and @t3 @t1)) % 115.53/116.87 (define @t20 () (tptp.or @t3 @t1)) % 115.53/116.87 (define @t21 () (forall @t8 (tptp.is_a_theorem (tptp.implies @t11 @t4)))) % 115.53/116.87 (define @t22 () (@var "P" $$unsorted)) % 115.53/116.87 (define @t23 () (@list @t22)) % 115.53/116.87 (define @t24 () (@var "Q" $$unsorted)) % 115.53/116.87 (define @t25 () (@list @t22 @t24)) % 115.53/116.87 (define @t26 () (@var "R" $$unsorted)) % 115.53/116.87 (define @t27 () (tptp.implies @t22 @t24)) % 115.53/116.87 (define @t28 () (@list @t22 @t24 @t26)) % 115.53/116.87 (define @t29 () (tptp.implies @t24 @t26)) % 115.53/116.87 (define @t30 () (tptp.not @t22)) % 115.53/116.87 (define @t31 () (tptp.or @t22 @t24)) % 115.53/116.87 (define @t32 () (tptp.or @t22 @t26)) % 115.53/116.87 (define @t33 () (forall @t8 (= @t20 (tptp.not (tptp.and @t12 @t13))))) % 115.53/116.87 (define @t34 () (=> tptp.op_or @t33)) % 115.53/116.87 (define @t35 () (forall @t8 (= @t19 (tptp.not (tptp.or @t12 @t13))))) % 115.53/116.87 (define @t36 () (=> tptp.op_and @t35)) % 115.53/116.87 (define @t37 () (forall @t8 (= @t4 (tptp.not (tptp.and @t3 @t13))))) % 115.53/116.87 (define @t38 () (=> tptp.op_implies_and @t37)) % 115.53/116.87 (define @t39 () (forall @t8 (= @t4 (tptp.or @t12 @t1)))) % 115.53/116.87 (define @t40 () (=> tptp.op_implies_or @t39)) % 115.53/116.87 (define @t41 () (forall @t8 (= @t11 (tptp.and @t4 @t14)))) % 115.53/116.87 (define @t42 () (=> tptp.op_equiv @t41)) % 115.53/116.87 (define @t43 () (not tptp.equivalence_1)) % 115.53/116.87 (define @t44 () (not @t5)) % 115.53/116.87 (define @t45 () (not @t6)) % 115.53/116.87 (define @t46 () (@quantifiers_skolemize @t21 1)) % 115.53/116.87 (define @t47 () (@quantifiers_skolemize @t21 0)) % 115.53/116.87 (define @t48 () (tptp.implies @t47 @t46)) % 115.53/116.87 (define @t49 () (tptp.equiv @t47 @t46)) % 115.53/116.87 (define @t50 () (tptp.not @t49)) % 115.53/116.87 (define @t51 () (tptp.or @t50 @t48)) % 115.53/116.87 (define @t52 () (tptp.or @t48 @t50)) % 115.53/116.87 (define @t53 () (tptp.is_a_theorem @t51)) % 115.53/116.87 (define @t54 () (@list @t48 @t50)) % 115.53/116.87 (define @t55 () (tptp.is_a_theorem (tptp.implies @t52 @t51))) % 115.53/116.87 (define @t56 () (not @t55)) % 115.53/116.87 (define @t57 () (not (tptp.is_a_theorem @t52))) % 115.53/116.87 (define @t58 () (or @t57 @t56 @t53)) % 115.53/116.87 (define @t59 () (tptp.not @t48)) % 115.53/116.87 (define @t60 () (@list @t59 @t50)) % 115.53/116.87 (define @t61 () (tptp.implies @t59 @t50)) % 115.53/116.87 (define @t62 () (tptp.not @t59)) % 115.53/116.87 (define @t63 () (tptp.or @t62 @t50)) % 115.53/116.87 (define @t64 () (= @t61 @t63)) % 115.53/116.87 (define @t65 () (@list false)) % 115.53/116.87 (define @t66 () (@list @t39)) % 115.53/116.87 (define @t67 () (tptp.is_a_theorem @t63)) % 115.53/116.87 (define @t68 () (tptp.implies @t46 @t47)) % 115.53/116.87 (define @t69 () (tptp.not @t68)) % 115.53/116.87 (define @t70 () (tptp.or @t69 @t59)) % 115.53/116.87 (define @t71 () (tptp.or @t62 @t70)) % 115.53/116.87 (define @t72 () (tptp.is_a_theorem @t71)) % 115.53/116.87 (define @t73 () (tptp.implies @t71 @t63)) % 115.53/116.87 (define @t74 () (tptp.implies @t70 @t50)) % 115.53/116.87 (define @t75 () (tptp.not @t47)) % 115.53/116.87 (define @t76 () (tptp.and @t46 @t75)) % 115.53/116.87 (define @t77 () (@list @t48 @t76)) % 115.53/116.87 (define @t78 () (@list @t46 @t47)) % 115.53/116.87 (define @t79 () (tptp.not @t75)) % 115.53/116.87 (define @t80 () (tptp.not @t46)) % 115.53/116.87 (define @t81 () (tptp.not @t80)) % 115.53/116.87 (define @t82 () (@list @t81 @t79)) % 115.53/116.87 (define @t83 () (tptp.implies @t81 @t79)) % 115.53/116.87 (define @t84 () (tptp.or (tptp.not @t81) @t79)) % 115.53/116.87 (define @t85 () (= @t83 @t84)) % 115.53/116.87 (define @t86 () (tptp.and @t81 @t75)) % 115.53/116.87 (define @t87 () (tptp.and @t68 @t62)) % 115.53/116.87 (define @t88 () (@list @t68 @t59)) % 115.53/116.87 (define @t89 () (tptp.implies @t68 @t59)) % 115.53/116.87 (define @t90 () (= @t89 @t70)) % 115.53/116.87 (define @t91 () (tptp.is_a_theorem @t74)) % 115.53/116.87 (define @t92 () (tptp.is_a_theorem @t73)) % 115.53/116.87 (define @t93 () (tptp.is_a_theorem (tptp.implies @t74 @t73))) % 115.53/116.87 (define @t94 () (not @t93)) % 115.53/116.87 (define @t95 () (not @t91)) % 115.53/116.87 (define @t96 () (or @t95 @t94 @t92)) % 115.53/116.87 (define @t97 () (not @t92)) % 115.53/116.87 (define @t98 () (not @t72)) % 115.53/116.87 (define @t99 () (or @t98 @t97 @t67)) % 115.53/116.87 (assume @p1 @t10) % 115.53/116.87 (assume @p2 (= tptp.substitution_of_equivalents (forall @t8 (=> (tptp.is_a_theorem @t11) (= @t3 @t1))))) % 115.53/116.87 (assume @p3 (= tptp.modus_tollens (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t13 @t12) @t4))))) % 115.53/116.87 (assume @p4 (= tptp.implies_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t14))))) % 115.53/116.87 (assume @p5 (= tptp.implies_2 (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t3 @t4) @t4))))) % 115.53/116.87 (assume @p6 (= tptp.implies_3 (forall @t18 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t17 @t16)))))) % 115.53/116.87 (assume @p7 (= tptp.and_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t19 @t3))))) % 115.53/116.87 (assume @p8 (= tptp.and_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t19 @t1))))) % 115.53/116.87 (assume @p9 (= tptp.and_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 (tptp.implies @t1 @t19)))))) % 115.53/116.87 (assume @p10 (= tptp.or_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t20))))) % 115.53/116.87 (assume @p11 (= tptp.or_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t1 @t20))))) % 115.53/116.87 (assume @p12 (= tptp.or_3 (forall @t18 (tptp.is_a_theorem (tptp.implies @t16 (tptp.implies @t17 (tptp.implies @t20 @t15))))))) % 115.53/116.87 (assume @p13 (= tptp.equivalence_1 @t21)) % 115.53/116.87 (assume @p14 (= tptp.equivalence_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t11 @t14))))) % 115.53/116.87 (assume @p15 (= tptp.equivalence_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t14 @t11)))))) % 115.53/116.87 (assume @p16 (= tptp.kn1 (forall @t23 (tptp.is_a_theorem (tptp.implies @t22 (tptp.and @t22 @t22)))))) % 115.53/116.87 (assume @p17 (= tptp.kn2 (forall @t25 (tptp.is_a_theorem (tptp.implies (tptp.and @t22 @t24) @t22))))) % 115.53/116.87 (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)))))))) % 115.53/116.87 (assume @p19 (= tptp.cn1 (forall @t28 (tptp.is_a_theorem (tptp.implies @t27 (tptp.implies @t29 (tptp.implies @t22 @t26))))))) % 115.53/116.87 (assume @p20 (= tptp.cn2 (forall @t25 (tptp.is_a_theorem (tptp.implies @t22 (tptp.implies @t30 @t24)))))) % 115.53/116.87 (assume @p21 (= tptp.cn3 (forall @t23 (tptp.is_a_theorem (tptp.implies (tptp.implies @t30 @t22) @t22))))) % 115.53/116.87 (assume @p22 (= tptp.r1 (forall @t23 (tptp.is_a_theorem (tptp.implies (tptp.or @t22 @t22) @t22))))) % 115.53/116.87 (assume @p23 (= tptp.r2 (forall @t25 (tptp.is_a_theorem (tptp.implies @t24 @t31))))) % 115.53/116.87 (assume @p24 (= tptp.r3 (forall @t25 (tptp.is_a_theorem (tptp.implies @t31 (tptp.or @t24 @t22)))))) % 115.53/116.87 (assume @p25 (= tptp.r4 (forall @t28 (tptp.is_a_theorem (tptp.implies (tptp.or @t22 (tptp.or @t24 @t26)) (tptp.or @t24 @t32)))))) % 115.53/116.87 (assume @p26 (= tptp.r5 (forall @t28 (tptp.is_a_theorem (tptp.implies @t29 (tptp.implies @t31 @t32)))))) % 115.53/116.87 (assume @p27 @t34) % 115.53/116.87 (assume @p28 @t36) % 115.53/116.87 (assume @p29 @t38) % 115.53/116.87 (assume @p30 @t40) % 115.53/116.87 (assume @p31 @t42) % 115.53/116.87 (assume @p32 tptp.op_implies_or) % 115.53/116.87 (assume @p33 tptp.op_and) % 115.53/116.87 (assume @p34 tptp.op_equiv) % 115.53/116.87 (assume @p35 tptp.modus_ponens) % 115.53/116.87 (assume @p36 tptp.r1) % 115.53/116.87 (assume @p37 tptp.r2) % 115.53/116.87 (assume @p38 tptp.r3) % 115.53/116.87 (assume @p39 tptp.r4) % 115.53/116.87 (assume @p40 tptp.r5) % 115.53/116.87 (assume @p41 tptp.substitution_of_equivalents) % 115.53/116.87 (assume @p42 tptp.op_or) % 115.53/116.87 (assume @p43 tptp.op_implies_and) % 115.53/116.87 (assume @p44 @t43) % 115.53/116.87 (assume @p45 true) % 115.53/116.87 (step @p46 :rule aci_norm :args ((= (or (or @t45 @t44) @t2) (or @t45 @t44 @t2)))) % 115.53/116.87 (step @p47 :rule refl :args (@t2)) % 115.53/116.87 (step @p48 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 115.53/116.87 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t7) @t2))) % 115.53/116.87 (step @p50 :rule trans :premises (@p49 @p46)) % 115.53/116.87 (step @p51 :rule bool-impl-elim :args (@t7 @t2)) % 115.53/116.87 (step @p52 :rule trans :premises (@p51 @p50)) % 115.53/116.87 (step @p53 :rule cong :premises (@p52) :args (@t9)) % 115.53/116.87 (step @p54 :rule refl :args (tptp.modus_ponens)) % 115.53/116.87 (step @p55 :rule cong :premises (@p54 @p53) :args (@t10)) % 115.53/116.87 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 115.53/116.87 (step @p57 :rule eq_resolve :premises (@p35 @p56)) % 115.53/116.87 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t52 @t51))) % 115.53/116.87 (step @p59 :rule cong :premises (@p13) :args (@t43)) % 115.53/116.87 (step @p60 :rule eq_resolve :premises (@p44 @p59)) % 115.53/116.87 (step @p61 :rule skolemize :premises (@p60)) % 115.53/116.87 (step @p62 :rule false_intro :premises (@p61)) % 115.53/116.87 (step @p63 :rule bool-impl-true2 :args (@t39)) % 115.53/116.87 (step @p64 :rule refl :args (@t39)) % 115.53/116.87 (step @p65 :rule bool-eq-true :args (tptp.op_implies_or)) % 115.53/116.87 (step @p66 :rule symm :premises (@p65)) % 115.53/116.87 (step @p67 :rule eq_resolve :premises (@p32 @p66)) % 115.53/116.87 (step @p68 :rule cong :premises (@p67 @p64) :args (@t40)) % 115.53/116.87 (step @p69 :rule trans :premises (@p68 @p63)) % 115.53/116.87 (step @p70 :rule eq_resolve :premises (@p30 @p69)) % 115.53/116.87 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t49 @t48))) % 115.53/116.87 (step @p72 :rule symm :premises (@p71)) % 115.53/116.87 (step @p73 :rule cong :premises (@p72) :args (@t53)) % 115.53/116.87 (step @p74 :rule trans :premises (@p73 @p62)) % 115.53/116.87 (step @p75 :rule false_elim :premises (@p74)) % 115.53/116.87 (step @p76 :rule eq_resolve :premises (@p38 @p24)) % 115.53/116.87 (step @p77 :rule instantiate :premises (@p76) :args (@t54)) % 115.53/116.87 (step @p78 :rule cnf_or_pos :args (@t58)) % 115.53/116.87 (step @p79 :rule reordering :premises (@p78) :args ((or @t56 @t57 @t53 (not @t58)))) % 115.53/116.87 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p75 @p58) :args (@t57 (@list false true false) (@list @t55 @t53 @t58))) % 115.53/116.87 (step @p81 :rule false_intro :premises (@p80)) % 115.53/116.87 (step @p82 :rule bool-impl-true2 :args (@t33)) % 115.53/116.87 (step @p83 :rule refl :args (@t33)) % 115.53/116.87 (step @p84 :rule bool-eq-true :args (tptp.op_or)) % 115.53/116.87 (step @p85 :rule symm :premises (@p84)) % 115.53/116.87 (step @p86 :rule eq_resolve :premises (@p42 @p85)) % 115.53/116.87 (step @p87 :rule cong :premises (@p86 @p83) :args (@t34)) % 115.53/116.87 (step @p88 :rule trans :premises (@p87 @p82)) % 115.53/116.87 (step @p89 :rule eq_resolve :premises (@p27 @p88)) % 115.53/116.87 (step @p90 :rule instantiate :premises (@p89) :args (@t54)) % 115.53/116.87 (step @p91 :rule symm :premises (@p90)) % 115.53/116.87 (step @p92 :rule bool-impl-true2 :args (@t37)) % 115.53/116.87 (step @p93 :rule refl :args (@t37)) % 115.53/116.87 (step @p94 :rule bool-eq-true :args (tptp.op_implies_and)) % 115.53/116.87 (step @p95 :rule symm :premises (@p94)) % 115.53/116.87 (step @p96 :rule eq_resolve :premises (@p43 @p95)) % 115.53/116.87 (step @p97 :rule cong :premises (@p96 @p93) :args (@t38)) % 115.53/116.87 (step @p98 :rule trans :premises (@p97 @p92)) % 115.53/116.87 (step @p99 :rule eq_resolve :premises (@p29 @p98)) % 115.53/116.87 (step @p100 :rule instantiate :premises (@p99) :args (@t60)) % 115.53/116.87 (step @p101 :rule eq-symm :args (@t61 @t63)) % 115.53/116.87 (step @p102 :rule cong :premises (@p64 @p101) :args ((=> @t39 @t64))) % 115.53/116.87 (assume-push @p203 @t39) % 115.53/116.87 (step @p104 :rule instantiate :premises (@p70) :args (@t60)) % 115.53/116.87 (step-pop @p204 :rule scope :premises (@p104)) % 115.53/116.87 (step @p105 :rule process_scope :premises (@p204) :args (@t64)) % 115.53/116.87 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 115.53/116.87 (step @p108 :rule implies_elim :premises (@p107)) % 115.53/116.87 (step @p109 :rule chain_m_resolution :premises (@p108 @p70) :args ((= @t63 @t61) @t65 @t66)) % 115.53/116.87 (step @p110 :rule trans :premises (@p109 @p100 @p91)) % 115.53/116.87 (step @p111 :rule cong :premises (@p110) :args (@t67)) % 115.53/116.87 (step @p112 :rule trans :premises (@p111 @p81)) % 115.53/116.87 (step @p113 :rule false_elim :premises (@p112)) % 115.53/116.87 (step @p114 :rule instantiate :premises (@p57) :args ((@list @t71 @t63))) % 115.53/116.87 (step @p115 :rule eq_resolve :premises (@p37 @p23)) % 115.53/116.87 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t69 @t59))) % 115.53/116.87 (step @p117 :rule true_intro :premises (@p116)) % 115.53/116.87 (step @p118 :rule instantiate :premises (@p70) :args ((@list @t59 @t70))) % 115.53/116.87 (step @p119 :rule symm :premises (@p118)) % 115.53/116.87 (step @p120 :rule cong :premises (@p119) :args (@t72)) % 115.53/116.87 (step @p121 :rule trans :premises (@p120 @p117)) % 115.53/116.87 (step @p122 :rule true_elim :premises (@p121)) % 115.53/116.87 (step @p123 :rule instantiate :premises (@p57) :args ((@list @t74 @t73))) % 115.53/116.87 (step @p124 :rule instantiate :premises (@p76) :args ((@list @t76 @t59))) % 115.53/116.87 (step @p125 :rule true_intro :premises (@p124)) % 115.53/116.87 (step @p126 :rule instantiate :premises (@p70) :args (@t77)) % 115.53/116.87 (step @p127 :rule instantiate :premises (@p99) :args (@t77)) % 115.53/116.87 (step @p128 :rule symm :premises (@p127)) % 115.53/116.87 (step @p129 :rule instantiate :premises (@p99) :args (@t78)) % 115.53/116.87 (step @p130 :rule refl :args (@t48)) % 115.53/116.87 (step @p131 :rule cong :premises (@p130 @p129) :args ((tptp.and @t48 @t68))) % 115.53/116.87 (step @p132 :rule bool-impl-true2 :args (@t41)) % 115.53/116.87 (step @p133 :rule refl :args (@t41)) % 115.53/116.87 (step @p134 :rule bool-eq-true :args (tptp.op_equiv)) % 115.53/116.87 (step @p135 :rule symm :premises (@p134)) % 115.53/116.87 (step @p136 :rule eq_resolve :premises (@p34 @p135)) % 115.53/116.87 (step @p137 :rule cong :premises (@p136 @p133) :args (@t42)) % 115.53/116.87 (step @p138 :rule trans :premises (@p137 @p132)) % 115.53/116.87 (step @p139 :rule eq_resolve :premises (@p31 @p138)) % 115.53/116.87 (step @p140 :rule instantiate :premises (@p139) :args ((@list @t47 @t46))) % 115.53/116.87 (step @p141 :rule trans :premises (@p140 @p131)) % 115.53/116.87 (step @p142 :rule cong :premises (@p141) :args (@t50)) % 115.53/116.87 (step @p143 :rule trans :premises (@p142 @p128 @p126)) % 115.53/116.87 (step @p144 :rule refl :args (@t59)) % 115.53/116.87 (step @p145 :rule bool-impl-true2 :args (@t35)) % 115.53/116.87 (step @p146 :rule refl :args (@t35)) % 115.53/116.87 (step @p147 :rule bool-eq-true :args (tptp.op_and)) % 115.53/116.87 (step @p148 :rule symm :premises (@p147)) % 115.53/116.87 (step @p149 :rule eq_resolve :premises (@p33 @p148)) % 115.53/116.87 (step @p150 :rule cong :premises (@p149 @p146) :args (@t36)) % 115.53/116.87 (step @p151 :rule trans :premises (@p150 @p145)) % 115.53/116.87 (step @p152 :rule eq_resolve :premises (@p28 @p151)) % 115.53/116.87 (step @p153 :rule instantiate :premises (@p152) :args ((@list @t46 @t75))) % 115.53/116.87 (step @p154 :rule symm :premises (@p153)) % 115.53/116.87 (step @p155 :rule instantiate :premises (@p89) :args ((@list @t80 @t79))) % 115.53/116.87 (step @p156 :rule symm :premises (@p155)) % 115.53/116.87 (step @p157 :rule instantiate :premises (@p99) :args (@t82)) % 115.53/116.87 (step @p158 :rule eq-symm :args (@t83 @t84)) % 115.53/116.87 (step @p159 :rule cong :premises (@p64 @p158) :args ((=> @t39 @t85))) % 115.53/116.87 (assume-push @p205 @t39) % 115.53/116.87 (step @p161 :rule instantiate :premises (@p70) :args (@t82)) % 115.53/116.87 (step-pop @p206 :rule scope :premises (@p161)) % 115.53/116.87 (step @p162 :rule process_scope :premises (@p206) :args (@t85)) % 115.53/116.87 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 115.53/116.87 (step @p165 :rule implies_elim :premises (@p164)) % 115.53/116.87 (step @p166 :rule chain_m_resolution :premises (@p165 @p70) :args ((= @t84 @t83) @t65 @t66)) % 115.53/116.87 (step @p167 :rule trans :premises (@p166 @p157 @p156)) % 115.53/116.87 (step @p168 :rule cong :premises (@p167) :args ((tptp.not @t84))) % 115.53/116.87 (step @p169 :rule instantiate :premises (@p152) :args ((@list @t81 @t75))) % 115.53/116.87 (step @p170 :rule trans :premises (@p169 @p168 @p154)) % 115.53/116.87 (step @p171 :rule cong :premises (@p170 @p144) :args ((tptp.or @t86 @t59))) % 115.53/116.87 (step @p172 :rule instantiate :premises (@p89) :args ((@list @t86 @t59))) % 115.53/116.87 (step @p173 :rule symm :premises (@p172)) % 115.53/116.87 (step @p174 :rule refl :args (@t62)) % 115.53/116.87 (step @p175 :rule instantiate :premises (@p89) :args ((@list @t80 @t47))) % 115.53/116.87 (step @p176 :rule instantiate :premises (@p70) :args (@t78)) % 115.53/116.87 (step @p177 :rule trans :premises (@p176 @p175)) % 115.53/116.87 (step @p178 :rule cong :premises (@p177 @p174) :args (@t87)) % 115.53/116.87 (step @p179 :rule cong :premises (@p178) :args ((tptp.not @t87))) % 115.53/116.87 (step @p180 :rule instantiate :premises (@p99) :args (@t88)) % 115.53/116.89 (step @p181 :rule eq-symm :args (@t89 @t70)) % 115.53/116.89 (step @p182 :rule cong :premises (@p64 @p181) :args ((=> @t39 @t90))) % 115.53/116.89 (assume-push @p207 @t39) % 115.53/116.89 (step @p184 :rule instantiate :premises (@p70) :args (@t88)) % 115.53/116.89 (step-pop @p208 :rule scope :premises (@p184)) % 115.53/116.89 (step @p185 :rule process_scope :premises (@p208) :args (@t90)) % 115.53/116.89 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 115.53/116.89 (step @p188 :rule implies_elim :premises (@p187)) % 115.53/116.89 (step @p189 :rule chain_m_resolution :premises (@p188 @p70) :args ((= @t70 @t89) @t65 @t66)) % 115.53/116.89 (step @p190 :rule trans :premises (@p189 @p180 @p179 @p173 @p171)) % 115.53/116.89 (step @p191 :rule cong :premises (@p190 @p143) :args (@t74)) % 115.53/116.89 (step @p192 :rule cong :premises (@p191) :args (@t91)) % 115.53/116.89 (step @p193 :rule trans :premises (@p192 @p125)) % 115.53/116.89 (step @p194 :rule true_elim :premises (@p193)) % 115.53/116.89 (step @p195 :rule eq_resolve :premises (@p40 @p26)) % 115.53/116.89 (step @p196 :rule instantiate :premises (@p195) :args ((@list @t62 @t70 @t50))) % 115.53/116.89 (step @p197 :rule cnf_or_pos :args (@t96)) % 115.53/116.89 (step @p198 :rule reordering :premises (@p197) :args ((or @t94 @t92 @t95 (not @t96)))) % 115.53/116.89 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p194 @p123) :args (@t92 (@list false false false) (@list @t93 @t91 @t96))) % 115.53/116.89 (step @p200 :rule cnf_or_pos :args (@t99)) % 115.53/116.89 (step @p201 :rule reordering :premises (@p200) :args ((or @t67 @t98 @t97 (not @t99)))) % 115.53/116.89 (step @p202 false :rule chain_m_resolution :premises (@p201 @p199 @p122 @p114 @p113) :args (false (@list false false false true) (@list @t92 @t72 @t99 @t67))) % 115.53/116.89 ) % 115.53/116.89 % SZS output end Proof % 115.53/116.89 % cvc5 exiting %------------------------------------------------------------------------------