%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL487+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 : n011.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 117.44s 119.63s % Output : Proof 117.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL487+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.37 % Computer : n011.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.38 % CPULimit : 300 % 0.12/0.38 % WCLimit : 300 % 0.12/0.38 % DateTime : Sat Sep 5 14:17:44 UTC 2026 % 0.12/0.38 % CPUTime : % 0.12/0.46 %----Proving TF0_NAR, FOF, or CNF % 117.44/119.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 117.44/119.63 --- Run --no-e-matching --full-saturate-quant at 6... % 117.44/119.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 117.44/119.63 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 117.44/119.63 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 117.44/119.63 --- Run --trigger-sel=max --full-saturate-quant at 15... % 117.44/119.63 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 117.44/119.63 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 117.44/119.63 % SZS status Theorem % 117.44/119.63 % SZS output start Proof % 117.44/119.63 ( % 117.44/119.63 (declare-sort $$unsorted 0) % 117.44/119.63 (declare-const tptp.op_equiv Bool) % 117.44/119.63 (declare-const tptp.op_implies_or Bool) % 117.44/119.63 (declare-const tptp.op_and Bool) % 117.44/119.63 (declare-const tptp.r4 Bool) % 117.44/119.63 (declare-const tptp.r3 Bool) % 117.44/119.63 (declare-const tptp.implies_2 Bool) % 117.44/119.63 (declare-const tptp.and_2 Bool) % 117.44/119.63 (declare-const tptp.modus_tollens Bool) % 117.44/119.63 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 117.44/119.63 (declare-const tptp.op_or Bool) % 117.44/119.63 (declare-const tptp.or_1 Bool) % 117.44/119.63 (declare-const tptp.equivalence_3 Bool) % 117.44/119.63 (declare-const tptp.and_1 Bool) % 117.44/119.63 (declare-const tptp.equiv (-> $$unsorted $$unsorted $$unsorted)) % 117.44/119.63 (declare-const tptp.implies_3 Bool) % 117.44/119.63 (declare-const tptp.substitution_of_equivalents Bool) % 117.44/119.63 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 117.44/119.63 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 117.44/119.63 (declare-const tptp.op_implies_and Bool) % 117.44/119.63 (declare-const tptp.or_3 Bool) % 117.44/119.63 (declare-const tptp.equivalence_2 Bool) % 117.44/119.63 (declare-const tptp.modus_ponens Bool) % 117.44/119.63 (declare-const tptp.implies_1 Bool) % 117.44/119.63 (declare-const tptp.equivalence_1 Bool) % 117.44/119.63 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 117.44/119.63 (declare-const tptp.r5 Bool) % 117.44/119.63 (declare-const tptp.and_3 Bool) % 117.44/119.63 (declare-const tptp.cn3 Bool) % 117.44/119.63 (declare-const tptp.or_2 Bool) % 117.44/119.63 (declare-const tptp.kn1 Bool) % 117.44/119.63 (declare-const tptp.cn1 Bool) % 117.44/119.63 (declare-const tptp.kn2 Bool) % 117.44/119.63 (declare-const tptp.cn2 Bool) % 117.44/119.63 (declare-const tptp.kn3 Bool) % 117.44/119.63 (declare-const tptp.is_a_theorem (-> $$unsorted Bool)) % 117.44/119.63 (declare-const tptp.r1 Bool) % 117.44/119.63 (declare-const tptp.r2 Bool) % 117.44/119.63 (define @t1 () (@var "Y" $$unsorted)) % 117.44/119.63 (define @t2 () (tptp.is_a_theorem @t1)) % 117.44/119.63 (define @t3 () (@var "X" $$unsorted)) % 117.44/119.63 (define @t4 () (tptp.implies @t3 @t1)) % 117.44/119.63 (define @t5 () (tptp.is_a_theorem @t4)) % 117.44/119.63 (define @t6 () (tptp.is_a_theorem @t3)) % 117.44/119.63 (define @t7 () (and @t6 @t5)) % 117.44/119.63 (define @t8 () (@list @t3 @t1)) % 117.44/119.63 (define @t9 () (forall @t8 (=> @t7 @t2))) % 117.44/119.63 (define @t10 () (= tptp.modus_ponens @t9)) % 117.44/119.63 (define @t11 () (tptp.equiv @t3 @t1)) % 117.44/119.63 (define @t12 () (tptp.not @t3)) % 117.44/119.63 (define @t13 () (tptp.not @t1)) % 117.44/119.63 (define @t14 () (tptp.implies @t1 @t3)) % 117.44/119.63 (define @t15 () (@var "Z" $$unsorted)) % 117.44/119.63 (define @t16 () (tptp.implies @t3 @t15)) % 117.44/119.63 (define @t17 () (tptp.implies @t1 @t15)) % 117.44/119.63 (define @t18 () (@list @t3 @t1 @t15)) % 117.44/119.63 (define @t19 () (tptp.and @t3 @t1)) % 117.44/119.63 (define @t20 () (forall @t8 (tptp.is_a_theorem (tptp.implies @t19 @t3)))) % 117.44/119.63 (define @t21 () (tptp.or @t3 @t1)) % 117.44/119.63 (define @t22 () (@var "P" $$unsorted)) % 117.44/119.63 (define @t23 () (@list @t22)) % 117.44/119.63 (define @t24 () (@var "Q" $$unsorted)) % 117.44/119.63 (define @t25 () (@list @t22 @t24)) % 117.44/119.63 (define @t26 () (@var "R" $$unsorted)) % 117.44/119.63 (define @t27 () (tptp.implies @t22 @t24)) % 117.44/119.63 (define @t28 () (@list @t22 @t24 @t26)) % 117.44/119.63 (define @t29 () (tptp.implies @t24 @t26)) % 117.44/119.63 (define @t30 () (tptp.not @t22)) % 117.44/119.63 (define @t31 () (tptp.or @t22 @t24)) % 117.44/119.63 (define @t32 () (tptp.or @t22 @t26)) % 117.44/119.63 (define @t33 () (forall @t8 (= @t21 (tptp.not (tptp.and @t12 @t13))))) % 117.44/119.63 (define @t34 () (=> tptp.op_or @t33)) % 117.44/119.63 (define @t35 () (forall @t8 (= @t19 (tptp.not (tptp.or @t12 @t13))))) % 117.44/119.63 (define @t36 () (=> tptp.op_and @t35)) % 117.44/119.63 (define @t37 () (forall @t8 (= @t4 (tptp.not (tptp.and @t3 @t13))))) % 117.44/119.63 (define @t38 () (=> tptp.op_implies_and @t37)) % 117.44/119.63 (define @t39 () (forall @t8 (= @t4 (tptp.or @t12 @t1)))) % 117.44/119.63 (define @t40 () (=> tptp.op_implies_or @t39)) % 117.44/119.63 (define @t41 () (not tptp.and_1)) % 117.44/119.63 (define @t42 () (@quantifiers_skolemize @t20 1)) % 117.44/119.63 (define @t43 () (@quantifiers_skolemize @t20 0)) % 117.44/119.63 (define @t44 () (tptp.not @t42)) % 117.44/119.63 (define @t45 () (tptp.not @t43)) % 117.44/119.63 (define @t46 () (tptp.or @t45 @t44)) % 117.44/119.63 (define @t47 () (tptp.not @t46)) % 117.44/119.63 (define @t48 () (tptp.not @t47)) % 117.44/119.63 (define @t49 () (tptp.or @t44 @t45)) % 117.44/119.63 (define @t50 () (tptp.implies @t49 @t48)) % 117.44/119.63 (define @t51 () (tptp.not @t49)) % 117.44/119.63 (define @t52 () (tptp.or @t51 @t48)) % 117.44/119.63 (define @t53 () (= @t50 @t52)) % 117.44/119.63 (define @t54 () (@list @t49 @t48)) % 117.44/119.63 (define @t55 () (= @t52 @t50)) % 117.44/119.63 (define @t56 () (@list false)) % 117.44/119.63 (define @t57 () (@list @t39)) % 117.44/119.63 (define @t58 () (not @t5)) % 117.44/119.63 (define @t59 () (not @t6)) % 117.44/119.63 (define @t60 () (tptp.or @t48 @t51)) % 117.44/119.63 (define @t61 () (tptp.or @t46 @t51)) % 117.44/119.63 (define @t62 () (tptp.or @t51 @t46)) % 117.44/119.63 (define @t63 () (@list @t44 @t45)) % 117.44/119.63 (define @t64 () (tptp.is_a_theorem @t62)) % 117.44/119.63 (define @t65 () (tptp.is_a_theorem @t61)) % 117.44/119.63 (define @t66 () (tptp.is_a_theorem (tptp.implies @t62 @t61))) % 117.44/119.63 (define @t67 () (not @t66)) % 117.44/119.63 (define @t68 () (not @t64)) % 117.44/119.63 (define @t69 () (or @t68 @t67 @t65)) % 117.44/119.63 (define @t70 () (@list false false false)) % 117.44/119.63 (define @t71 () (tptp.and @t43 @t42)) % 117.44/119.63 (define @t72 () (tptp.implies @t71 @t51)) % 117.44/119.63 (define @t73 () (tptp.not @t71)) % 117.44/119.63 (define @t74 () (tptp.or @t73 @t51)) % 117.44/119.63 (define @t75 () (= @t72 @t74)) % 117.44/119.63 (define @t76 () (tptp.is_a_theorem @t60)) % 117.44/119.63 (define @t77 () (tptp.is_a_theorem @t52)) % 117.44/119.63 (define @t78 () (tptp.is_a_theorem (tptp.implies @t60 @t52))) % 117.44/119.63 (define @t79 () (not @t78)) % 117.44/119.63 (define @t80 () (not @t76)) % 117.44/119.63 (define @t81 () (or @t80 @t79 @t77)) % 117.44/119.63 (define @t82 () (tptp.not @t45)) % 117.44/119.63 (define @t83 () (tptp.or @t82 @t73)) % 117.44/119.63 (define @t84 () (tptp.or @t82 @t49)) % 117.44/119.63 (define @t85 () (tptp.implies @t84 @t83)) % 117.44/119.63 (define @t86 () (tptp.implies @t49 @t73)) % 117.44/119.63 (define @t87 () (tptp.is_a_theorem @t84)) % 117.44/119.63 (define @t88 () (tptp.or @t73 @t43)) % 117.44/119.63 (define @t89 () (tptp.or @t43 @t73)) % 117.44/119.63 (define @t90 () (tptp.is_a_theorem @t88)) % 117.44/119.63 (define @t91 () (@list @t43 @t73)) % 117.44/119.63 (define @t92 () (tptp.is_a_theorem (tptp.implies @t89 @t88))) % 117.44/119.63 (define @t93 () (not @t92)) % 117.44/119.63 (define @t94 () (not (tptp.is_a_theorem @t89))) % 117.44/119.63 (define @t95 () (or @t94 @t93 @t90)) % 117.44/119.63 (define @t96 () (@list false true false)) % 117.44/119.63 (define @t97 () (@list @t45 @t73)) % 117.44/119.63 (define @t98 () (tptp.implies @t45 @t73)) % 117.44/119.63 (define @t99 () (= @t98 @t83)) % 117.44/119.63 (define @t100 () (tptp.is_a_theorem @t83)) % 117.44/119.63 (define @t101 () (tptp.is_a_theorem @t85)) % 117.44/119.63 (define @t102 () (not @t101)) % 117.44/119.63 (define @t103 () (not @t87)) % 117.44/119.63 (define @t104 () (or @t103 @t102 @t100)) % 117.44/119.63 (define @t105 () (tptp.is_a_theorem (tptp.implies @t86 @t85))) % 117.44/119.63 (define @t106 () (not @t105)) % 117.44/119.63 (define @t107 () (tptp.is_a_theorem @t86)) % 117.44/119.63 (define @t108 () (not @t107)) % 117.44/119.63 (define @t109 () (or @t108 @t106 @t101)) % 117.44/119.63 (define @t110 () (= @t71 @t47)) % 117.44/119.63 (define @t111 () (and @t110 @t55 @t77)) % 117.44/119.63 (assume @p1 @t10) % 117.44/119.63 (assume @p2 (= tptp.substitution_of_equivalents (forall @t8 (=> (tptp.is_a_theorem @t11) (= @t3 @t1))))) % 117.44/119.63 (assume @p3 (= tptp.modus_tollens (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t13 @t12) @t4))))) % 117.44/119.63 (assume @p4 (= tptp.implies_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t14))))) % 117.44/119.63 (assume @p5 (= tptp.implies_2 (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t3 @t4) @t4))))) % 117.44/119.63 (assume @p6 (= tptp.implies_3 (forall @t18 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t17 @t16)))))) % 117.44/119.63 (assume @p7 (= tptp.and_1 @t20)) % 117.44/119.63 (assume @p8 (= tptp.and_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t19 @t1))))) % 117.44/119.63 (assume @p9 (= tptp.and_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 (tptp.implies @t1 @t19)))))) % 117.44/119.63 (assume @p10 (= tptp.or_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t21))))) % 117.44/119.63 (assume @p11 (= tptp.or_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t1 @t21))))) % 117.44/119.63 (assume @p12 (= tptp.or_3 (forall @t18 (tptp.is_a_theorem (tptp.implies @t16 (tptp.implies @t17 (tptp.implies @t21 @t15))))))) % 117.44/119.63 (assume @p13 (= tptp.equivalence_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t11 @t4))))) % 117.44/119.63 (assume @p14 (= tptp.equivalence_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t11 @t14))))) % 117.44/119.63 (assume @p15 (= tptp.equivalence_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t14 @t11)))))) % 117.44/119.63 (assume @p16 (= tptp.kn1 (forall @t23 (tptp.is_a_theorem (tptp.implies @t22 (tptp.and @t22 @t22)))))) % 117.44/119.63 (assume @p17 (= tptp.kn2 (forall @t25 (tptp.is_a_theorem (tptp.implies (tptp.and @t22 @t24) @t22))))) % 117.44/119.63 (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)))))))) % 117.44/119.63 (assume @p19 (= tptp.cn1 (forall @t28 (tptp.is_a_theorem (tptp.implies @t27 (tptp.implies @t29 (tptp.implies @t22 @t26))))))) % 117.44/119.63 (assume @p20 (= tptp.cn2 (forall @t25 (tptp.is_a_theorem (tptp.implies @t22 (tptp.implies @t30 @t24)))))) % 117.44/119.63 (assume @p21 (= tptp.cn3 (forall @t23 (tptp.is_a_theorem (tptp.implies (tptp.implies @t30 @t22) @t22))))) % 117.44/119.63 (assume @p22 (= tptp.r1 (forall @t23 (tptp.is_a_theorem (tptp.implies (tptp.or @t22 @t22) @t22))))) % 117.44/119.63 (assume @p23 (= tptp.r2 (forall @t25 (tptp.is_a_theorem (tptp.implies @t24 @t31))))) % 117.44/119.63 (assume @p24 (= tptp.r3 (forall @t25 (tptp.is_a_theorem (tptp.implies @t31 (tptp.or @t24 @t22)))))) % 117.44/119.63 (assume @p25 (= tptp.r4 (forall @t28 (tptp.is_a_theorem (tptp.implies (tptp.or @t22 (tptp.or @t24 @t26)) (tptp.or @t24 @t32)))))) % 117.44/119.63 (assume @p26 (= tptp.r5 (forall @t28 (tptp.is_a_theorem (tptp.implies @t29 (tptp.implies @t31 @t32)))))) % 117.44/119.63 (assume @p27 @t34) % 117.44/119.63 (assume @p28 @t36) % 117.44/119.63 (assume @p29 @t38) % 117.44/119.63 (assume @p30 @t40) % 117.44/119.63 (assume @p31 (=> tptp.op_equiv (forall @t8 (= @t11 (tptp.and @t4 @t14))))) % 117.44/119.63 (assume @p32 tptp.op_implies_or) % 117.44/119.63 (assume @p33 tptp.op_and) % 117.44/119.63 (assume @p34 tptp.op_equiv) % 117.44/119.63 (assume @p35 tptp.modus_ponens) % 117.44/119.63 (assume @p36 tptp.r1) % 117.44/119.63 (assume @p37 tptp.r2) % 117.44/119.63 (assume @p38 tptp.r3) % 117.44/119.63 (assume @p39 tptp.r4) % 117.44/119.63 (assume @p40 tptp.r5) % 117.44/119.63 (assume @p41 tptp.substitution_of_equivalents) % 117.44/119.63 (assume @p42 tptp.op_or) % 117.44/119.63 (assume @p43 tptp.op_implies_and) % 117.44/119.63 (assume @p44 @t41) % 117.44/119.63 (assume @p45 true) % 117.44/119.63 (step @p46 :rule bool-impl-true2 :args (@t35)) % 117.44/119.63 (step @p47 :rule refl :args (@t35)) % 117.44/119.63 (step @p48 :rule bool-eq-true :args (tptp.op_and)) % 117.44/119.63 (step @p49 :rule symm :premises (@p48)) % 117.44/119.63 (step @p50 :rule eq_resolve :premises (@p33 @p49)) % 117.44/119.63 (step @p51 :rule cong :premises (@p50 @p47) :args (@t36)) % 117.44/119.63 (step @p52 :rule trans :premises (@p51 @p46)) % 117.44/119.63 (step @p53 :rule eq_resolve :premises (@p28 @p52)) % 117.44/119.63 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t43 @t42))) % 117.44/119.63 (step @p55 :rule bool-impl-true2 :args (@t39)) % 117.44/119.63 (step @p56 :rule refl :args (@t39)) % 117.44/119.63 (step @p57 :rule bool-eq-true :args (tptp.op_implies_or)) % 117.44/119.63 (step @p58 :rule symm :premises (@p57)) % 117.44/119.63 (step @p59 :rule eq_resolve :premises (@p32 @p58)) % 117.44/119.63 (step @p60 :rule cong :premises (@p59 @p56) :args (@t40)) % 117.44/119.63 (step @p61 :rule trans :premises (@p60 @p55)) % 117.44/119.63 (step @p62 :rule eq_resolve :premises (@p30 @p61)) % 117.44/119.63 (step @p63 :rule eq-symm :args (@t50 @t52)) % 117.44/119.63 (step @p64 :rule cong :premises (@p56 @p63) :args ((=> @t39 @t53))) % 117.44/119.63 (assume-push @p208 @t39) % 117.44/119.63 (step @p66 :rule instantiate :premises (@p62) :args (@t54)) % 117.44/119.63 (step-pop @p209 :rule scope :premises (@p66)) % 117.44/119.63 (step @p67 :rule process_scope :premises (@p209) :args (@t53)) % 117.44/119.63 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 117.44/119.63 (step @p70 :rule implies_elim :premises (@p69)) % 117.44/119.63 (step @p71 :rule chain_m_resolution :premises (@p70 @p62) :args (@t55 @t56 @t57)) % 117.44/119.63 (step @p72 :rule aci_norm :args ((= (or (or @t59 @t58) @t2) (or @t59 @t58 @t2)))) % 117.44/119.63 (step @p73 :rule refl :args (@t2)) % 117.44/119.63 (step @p74 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 117.44/119.63 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t7) @t2))) % 117.44/119.63 (step @p76 :rule trans :premises (@p75 @p72)) % 117.44/119.63 (step @p77 :rule bool-impl-elim :args (@t7 @t2)) % 117.44/119.63 (step @p78 :rule trans :premises (@p77 @p76)) % 117.44/119.63 (step @p79 :rule cong :premises (@p78) :args (@t9)) % 117.44/119.63 (step @p80 :rule refl :args (tptp.modus_ponens)) % 117.44/119.63 (step @p81 :rule cong :premises (@p80 @p79) :args (@t10)) % 117.44/119.63 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 117.44/119.63 (step @p83 :rule eq_resolve :premises (@p35 @p82)) % 117.44/119.63 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t60 @t52))) % 117.44/119.63 (step @p85 :rule instantiate :premises (@p83) :args ((@list @t62 @t61))) % 117.44/119.63 (step @p86 :rule eq_resolve :premises (@p38 @p24)) % 117.44/119.63 (step @p87 :rule instantiate :premises (@p86) :args (@t63)) % 117.44/119.63 (step @p88 :rule true_intro :premises (@p87)) % 117.44/119.63 (step @p89 :rule instantiate :premises (@p62) :args ((@list @t49 @t46))) % 117.44/119.63 (step @p90 :rule symm :premises (@p89)) % 117.44/119.63 (step @p91 :rule cong :premises (@p90) :args (@t64)) % 117.44/119.63 (step @p92 :rule trans :premises (@p91 @p88)) % 117.44/119.63 (step @p93 :rule true_elim :premises (@p92)) % 117.44/119.63 (step @p94 :rule instantiate :premises (@p86) :args ((@list @t51 @t46))) % 117.44/119.63 (step @p95 :rule cnf_or_pos :args (@t69)) % 117.44/119.63 (step @p96 :rule reordering :premises (@p95) :args ((or @t67 @t68 @t65 (not @t69)))) % 117.44/119.63 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p93 @p85) :args (@t65 @t70 (@list @t66 @t64 @t69))) % 117.44/119.63 (step @p98 :rule true_intro :premises (@p97)) % 117.44/119.63 (step @p99 :rule bool-impl-true2 :args (@t33)) % 117.44/119.63 (step @p100 :rule refl :args (@t33)) % 117.44/119.63 (step @p101 :rule bool-eq-true :args (tptp.op_or)) % 117.44/119.63 (step @p102 :rule symm :premises (@p101)) % 117.44/119.63 (step @p103 :rule eq_resolve :premises (@p42 @p102)) % 117.44/119.63 (step @p104 :rule cong :premises (@p103 @p100) :args (@t34)) % 117.44/119.63 (step @p105 :rule trans :premises (@p104 @p99)) % 117.44/119.63 (step @p106 :rule eq_resolve :premises (@p27 @p105)) % 117.44/119.63 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t46 @t51))) % 117.44/119.63 (step @p108 :rule symm :premises (@p107)) % 117.44/119.63 (step @p109 :rule bool-impl-true2 :args (@t37)) % 117.44/119.63 (step @p110 :rule refl :args (@t37)) % 117.44/119.63 (step @p111 :rule bool-eq-true :args (tptp.op_implies_and)) % 117.44/119.63 (step @p112 :rule symm :premises (@p111)) % 117.44/119.63 (step @p113 :rule eq_resolve :premises (@p43 @p112)) % 117.44/119.63 (step @p114 :rule cong :premises (@p113 @p110) :args (@t38)) % 117.44/119.63 (step @p115 :rule trans :premises (@p114 @p109)) % 117.44/119.63 (step @p116 :rule eq_resolve :premises (@p29 @p115)) % 117.44/119.63 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t47 @t51))) % 117.44/119.63 (step @p118 :rule refl :args (@t51)) % 117.44/119.63 (step @p119 :rule cong :premises (@p54 @p118) :args (@t72)) % 117.44/119.63 (step @p120 :rule eq-symm :args (@t72 @t74)) % 117.44/119.63 (step @p121 :rule cong :premises (@p56 @p120) :args ((=> @t39 @t75))) % 117.44/119.63 (assume-push @p210 @t39) % 117.44/119.63 (step @p123 :rule instantiate :premises (@p62) :args ((@list @t71 @t51))) % 117.44/119.63 (step-pop @p211 :rule scope :premises (@p123)) % 117.44/119.63 (step @p124 :rule process_scope :premises (@p211) :args (@t75)) % 117.44/119.63 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 117.44/119.63 (step @p127 :rule implies_elim :premises (@p126)) % 117.44/119.63 (step @p128 :rule chain_m_resolution :premises (@p127 @p62) :args ((= @t74 @t72) @t56 @t57)) % 117.44/119.63 (step @p129 :rule symm :premises (@p54)) % 117.44/119.63 (step @p130 :rule cong :premises (@p129) :args (@t48)) % 117.44/119.63 (step @p131 :rule cong :premises (@p130 @p118) :args (@t60)) % 117.44/119.63 (step @p132 :rule trans :premises (@p131 @p128 @p119 @p117 @p108)) % 117.44/119.63 (step @p133 :rule cong :premises (@p132) :args (@t76)) % 117.44/119.63 (step @p134 :rule trans :premises (@p133 @p98)) % 117.44/119.63 (step @p135 :rule true_elim :premises (@p134)) % 117.44/119.63 (step @p136 :rule instantiate :premises (@p86) :args ((@list @t48 @t51))) % 117.44/119.63 (step @p137 :rule cnf_or_pos :args (@t81)) % 117.44/119.63 (step @p138 :rule reordering :premises (@p137) :args ((or @t79 @t77 @t80 (not @t81)))) % 117.44/119.63 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p135 @p84) :args (@t77 @t70 (@list @t78 @t76 @t81))) % 117.44/119.63 (step @p140 :rule instantiate :premises (@p83) :args ((@list @t86 @t85))) % 117.44/119.63 (step @p141 :rule instantiate :premises (@p83) :args ((@list @t84 @t83))) % 117.44/119.63 (step @p142 :rule eq_resolve :premises (@p37 @p23)) % 117.44/119.63 (step @p143 :rule instantiate :premises (@p142) :args (@t63)) % 117.44/119.63 (step @p144 :rule true_intro :premises (@p143)) % 117.44/119.63 (step @p145 :rule instantiate :premises (@p62) :args ((@list @t45 @t49))) % 117.44/119.63 (step @p146 :rule symm :premises (@p145)) % 117.44/119.63 (step @p147 :rule cong :premises (@p146) :args (@t87)) % 117.44/119.63 (step @p148 :rule trans :premises (@p147 @p144)) % 117.44/119.63 (step @p149 :rule true_elim :premises (@p148)) % 117.44/119.63 (step @p150 :rule instantiate :premises (@p83) :args ((@list @t89 @t88))) % 117.44/119.63 (step @p151 :rule cong :premises (@p7) :args (@t41)) % 117.44/119.63 (step @p152 :rule eq_resolve :premises (@p44 @p151)) % 117.44/119.63 (step @p153 :rule skolemize :premises (@p152)) % 117.44/119.63 (step @p154 :rule false_intro :premises (@p153)) % 117.44/119.63 (step @p155 :rule instantiate :premises (@p62) :args ((@list @t71 @t43))) % 117.44/119.63 (step @p156 :rule symm :premises (@p155)) % 117.44/119.63 (step @p157 :rule cong :premises (@p156) :args (@t90)) % 117.44/119.63 (step @p158 :rule trans :premises (@p157 @p154)) % 117.44/119.63 (step @p159 :rule false_elim :premises (@p158)) % 117.44/119.63 (step @p160 :rule instantiate :premises (@p86) :args (@t91)) % 117.44/119.63 (step @p161 :rule cnf_or_pos :args (@t95)) % 117.44/119.63 (step @p162 :rule reordering :premises (@p161) :args ((or @t93 @t94 @t90 (not @t95)))) % 117.44/119.63 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p159 @p150) :args (@t94 @t96 (@list @t92 @t90 @t95))) % 117.44/119.63 (step @p164 :rule false_intro :premises (@p163)) % 117.44/119.63 (step @p165 :rule instantiate :premises (@p106) :args (@t91)) % 117.44/119.63 (step @p166 :rule symm :premises (@p165)) % 117.44/119.63 (step @p167 :rule instantiate :premises (@p116) :args (@t97)) % 117.44/119.63 (step @p168 :rule eq-symm :args (@t98 @t83)) % 117.44/119.66 (step @p169 :rule cong :premises (@p56 @p168) :args ((=> @t39 @t99))) % 117.44/119.66 (assume-push @p212 @t39) % 117.44/119.66 (step @p171 :rule instantiate :premises (@p62) :args (@t97)) % 117.44/119.66 (step-pop @p213 :rule scope :premises (@p171)) % 117.44/119.66 (step @p172 :rule process_scope :premises (@p213) :args (@t99)) % 117.44/119.66 (step @p174 :rule eq_resolve :premises (@p172 @p169)) % 117.44/119.66 (step @p175 :rule implies_elim :premises (@p174)) % 117.44/119.66 (step @p176 :rule chain_m_resolution :premises (@p175 @p62) :args ((= @t83 @t98) @t56 @t57)) % 117.44/119.66 (step @p177 :rule trans :premises (@p176 @p167 @p166)) % 117.44/119.66 (step @p178 :rule cong :premises (@p177) :args (@t100)) % 117.44/119.66 (step @p179 :rule trans :premises (@p178 @p164)) % 117.44/119.66 (step @p180 :rule false_elim :premises (@p179)) % 117.44/119.66 (step @p181 :rule cnf_or_pos :args (@t104)) % 117.44/119.66 (step @p182 :rule reordering :premises (@p181) :args ((or @t100 @t103 @t102 (not @t104)))) % 117.44/119.66 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p149 @p141) :args (@t102 (@list true false false) (@list @t100 @t87 @t104))) % 117.44/119.66 (step @p184 :rule eq_resolve :premises (@p40 @p26)) % 117.44/119.66 (step @p185 :rule instantiate :premises (@p184) :args ((@list @t82 @t49 @t73))) % 117.44/119.66 (step @p186 :rule cnf_or_pos :args (@t109)) % 117.44/119.66 (step @p187 :rule reordering :premises (@p186) :args ((or @t106 @t101 @t108 (not @t109)))) % 117.44/119.66 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p183 @p140) :args (@t108 @t96 (@list @t105 @t101 @t109))) % 117.44/119.66 (assume-push @p214 @t110) % 117.44/119.66 (assume-push @p215 @t55) % 117.44/119.66 (assume-push @p216 @t77) % 117.44/119.66 (step @p192 :rule true_intro :premises (@p139)) % 117.44/119.66 (step @p66 :rule instantiate :premises (@p62) :args (@t54)) % 117.44/119.66 (step @p193 :rule cong :premises (@p54) :args (@t73)) % 117.44/119.66 (step @p194 :rule refl :args (@t49)) % 117.44/119.66 (step @p195 :rule cong :premises (@p194 @p193) :args (@t86)) % 117.44/119.66 (step @p196 :rule trans :premises (@p195 @p66)) % 117.44/119.66 (step @p197 :rule cong :premises (@p196) :args (@t107)) % 117.44/119.66 (step @p198 :rule trans :premises (@p197 @p192)) % 117.44/119.66 (step @p199 :rule true_elim :premises (@p198)) % 117.44/119.66 (step-pop @p217 :rule scope :premises (@p199)) % 117.44/119.66 (step-pop @p218 :rule scope :premises (@p217)) % 117.44/119.66 (step-pop @p219 :rule scope :premises (@p218)) % 117.44/119.66 (step @p200 :rule process_scope :premises (@p219) :args (@t107)) % 117.44/119.66 (step @p204 :rule implies_elim :premises (@p200)) % 117.44/119.66 (step @p205 :rule cnf_and_neg :args (@t111)) % 117.44/119.66 (step @p206 :rule resolution :premises (@p205 @p204) :args (true @t111)) % 117.44/119.66 (step @p207 false :rule chain_m_resolution :premises (@p206 @p188 @p139 @p71 @p54) :args (false (@list true false false false) (@list @t107 @t77 @t55 @t110))) % 117.44/119.66 ) % 117.44/119.66 % SZS output end Proof % 117.44/119.66 % cvc5 exiting %------------------------------------------------------------------------------