%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL458+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 : n007.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 11:22:56 AM UTC 2026 % Result : Theorem 35.61s 36.83s % Output : Proof 35.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : LCL458+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.42 % Computer : n007.cluster.edu % 0.16/0.42 % Model : x86_64 x86_64 % 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.42 % Memory : 8046.5625MB % 0.16/0.42 % OS : Linux 6.8.0-71-generic % 0.16/0.42 % CPULimit : 300 % 0.16/0.42 % WCLimit : 300 % 0.16/0.42 % DateTime : Fri Sep 4 15:54:54 UTC 2026 % 0.16/0.42 % CPUTime : % 0.26/0.53 %----Proving TF0_NAR, FOF, or CNF % 35.61/36.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.61/36.83 --- Run --no-e-matching --full-saturate-quant at 6... % 35.61/36.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.61/36.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.61/36.83 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.61/36.83 % SZS status Theorem % 35.61/36.83 % SZS output start Proof % 35.61/36.83 ( % 35.61/36.83 (declare-sort $$unsorted 0) % 35.61/36.83 (declare-const tptp.op_equiv Bool) % 35.61/36.83 (declare-const tptp.op_implies_or Bool) % 35.61/36.83 (declare-const tptp.op_and Bool) % 35.61/36.83 (declare-const tptp.r4 Bool) % 35.61/36.83 (declare-const tptp.r3 Bool) % 35.61/36.83 (declare-const tptp.implies_2 Bool) % 35.61/36.83 (declare-const tptp.and_2 Bool) % 35.61/36.83 (declare-const tptp.modus_tollens Bool) % 35.61/36.83 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 35.61/36.83 (declare-const tptp.op_or Bool) % 35.61/36.83 (declare-const tptp.or_1 Bool) % 35.61/36.83 (declare-const tptp.equivalence_3 Bool) % 35.61/36.83 (declare-const tptp.and_1 Bool) % 35.61/36.83 (declare-const tptp.equiv (-> $$unsorted $$unsorted $$unsorted)) % 35.61/36.83 (declare-const tptp.implies_3 Bool) % 35.61/36.83 (declare-const tptp.substitution_of_equivalents Bool) % 35.61/36.83 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 35.61/36.83 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 35.61/36.83 (declare-const tptp.op_implies_and Bool) % 35.61/36.83 (declare-const tptp.or_3 Bool) % 35.61/36.83 (declare-const tptp.equivalence_2 Bool) % 35.61/36.83 (declare-const tptp.modus_ponens Bool) % 35.61/36.83 (declare-const tptp.implies_1 Bool) % 35.61/36.83 (declare-const tptp.equivalence_1 Bool) % 35.61/36.83 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 35.61/36.83 (declare-const tptp.r5 Bool) % 35.61/36.83 (declare-const tptp.and_3 Bool) % 35.61/36.83 (declare-const tptp.cn3 Bool) % 35.61/36.83 (declare-const tptp.or_2 Bool) % 35.61/36.83 (declare-const tptp.kn1 Bool) % 35.61/36.83 (declare-const tptp.cn1 Bool) % 35.61/36.83 (declare-const tptp.kn2 Bool) % 35.61/36.83 (declare-const tptp.cn2 Bool) % 35.61/36.83 (declare-const tptp.kn3 Bool) % 35.61/36.83 (declare-const tptp.is_a_theorem (-> $$unsorted Bool)) % 35.61/36.83 (declare-const tptp.r1 Bool) % 35.61/36.83 (declare-const tptp.r2 Bool) % 35.61/36.83 (define @t1 () (@var "Y" $$unsorted)) % 35.61/36.83 (define @t2 () (tptp.is_a_theorem @t1)) % 35.61/36.83 (define @t3 () (@var "X" $$unsorted)) % 35.61/36.83 (define @t4 () (tptp.implies @t3 @t1)) % 35.61/36.83 (define @t5 () (tptp.is_a_theorem @t4)) % 35.61/36.83 (define @t6 () (tptp.is_a_theorem @t3)) % 35.61/36.83 (define @t7 () (and @t6 @t5)) % 35.61/36.83 (define @t8 () (@list @t3 @t1)) % 35.61/36.83 (define @t9 () (forall @t8 (=> @t7 @t2))) % 35.61/36.83 (define @t10 () (= tptp.modus_ponens @t9)) % 35.61/36.83 (define @t11 () (= @t3 @t1)) % 35.61/36.83 (define @t12 () (tptp.equiv @t3 @t1)) % 35.61/36.83 (define @t13 () (tptp.is_a_theorem @t12)) % 35.61/36.83 (define @t14 () (forall @t8 (=> @t13 @t11))) % 35.61/36.83 (define @t15 () (= tptp.substitution_of_equivalents @t14)) % 35.61/36.83 (define @t16 () (tptp.not @t3)) % 35.61/36.83 (define @t17 () (tptp.not @t1)) % 35.61/36.83 (define @t18 () (tptp.implies @t1 @t3)) % 35.61/36.83 (define @t19 () (@var "Z" $$unsorted)) % 35.61/36.83 (define @t20 () (tptp.implies @t3 @t19)) % 35.61/36.83 (define @t21 () (tptp.implies @t1 @t19)) % 35.61/36.83 (define @t22 () (@list @t3 @t1 @t19)) % 35.61/36.83 (define @t23 () (tptp.and @t3 @t1)) % 35.61/36.83 (define @t24 () (tptp.or @t3 @t1)) % 35.61/36.83 (define @t25 () (@var "P" $$unsorted)) % 35.61/36.83 (define @t26 () (@list @t25)) % 35.61/36.83 (define @t27 () (@var "Q" $$unsorted)) % 35.61/36.83 (define @t28 () (@list @t25 @t27)) % 35.61/36.83 (define @t29 () (@var "R" $$unsorted)) % 35.61/36.83 (define @t30 () (tptp.implies @t25 @t27)) % 35.61/36.83 (define @t31 () (@list @t25 @t27 @t29)) % 35.61/36.83 (define @t32 () (tptp.implies @t27 @t29)) % 35.61/36.83 (define @t33 () (tptp.not @t25)) % 35.61/36.83 (define @t34 () (tptp.or @t25 @t27)) % 35.61/36.83 (define @t35 () (tptp.or @t25 @t29)) % 35.61/36.83 (define @t36 () (forall @t31 (tptp.is_a_theorem (tptp.implies @t32 (tptp.implies @t34 @t35))))) % 35.61/36.83 (define @t37 () (forall @t8 (= @t24 (tptp.not (tptp.and @t16 @t17))))) % 35.61/36.83 (define @t38 () (=> tptp.op_or @t37)) % 35.61/36.83 (define @t39 () (forall @t8 (= @t4 (tptp.or @t16 @t1)))) % 35.61/36.83 (define @t40 () (=> tptp.op_implies_or @t39)) % 35.61/36.83 (define @t41 () (not tptp.r5)) % 35.61/36.83 (define @t42 () (not @t5)) % 35.61/36.83 (define @t43 () (not @t6)) % 35.61/36.83 (define @t44 () (or @t43 @t42 @t2)) % 35.61/36.83 (define @t45 () (@quantifiers_skolemize @t36 2)) % 35.61/36.83 (define @t46 () (@quantifiers_skolemize @t36 0)) % 35.61/36.83 (define @t47 () (tptp.or @t46 @t45)) % 35.61/36.83 (define @t48 () (@quantifiers_skolemize @t36 1)) % 35.61/36.83 (define @t49 () (tptp.or @t46 @t48)) % 35.61/36.83 (define @t50 () (tptp.implies @t49 @t47)) % 35.61/36.83 (define @t51 () (tptp.implies @t45 @t50)) % 35.61/36.83 (define @t52 () (tptp.implies @t47 @t50)) % 35.61/36.83 (define @t53 () (tptp.not @t48)) % 35.61/36.83 (define @t54 () (tptp.implies (tptp.or @t53 @t45) @t50)) % 35.61/36.83 (define @t55 () (tptp.is_a_theorem @t54)) % 35.61/36.83 (define @t56 () (tptp.implies @t51 @t54)) % 35.61/36.83 (define @t57 () (tptp.implies @t53 @t50)) % 35.61/36.83 (define @t58 () (@list @t53 @t47)) % 35.61/36.83 (define @t59 () (tptp.implies @t48 @t47)) % 35.61/36.83 (define @t60 () (tptp.equiv @t59 @t50)) % 35.61/36.83 (define @t61 () (tptp.is_a_theorem @t60)) % 35.61/36.83 (define @t62 () (not @t61)) % 35.61/36.83 (define @t63 () (or @t62 (= @t59 @t50))) % 35.61/36.83 (define @t64 () (forall @t8 (or (not @t13) @t11))) % 35.61/36.83 (define @t65 () (@list @t59 @t50)) % 35.61/36.83 (define @t66 () (= @t50 @t59)) % 35.61/36.83 (define @t67 () (or @t62 @t66)) % 35.61/36.83 (define @t68 () (tptp.implies @t50 @t59)) % 35.61/36.83 (define @t69 () (tptp.implies @t68 @t60)) % 35.61/36.83 (define @t70 () (tptp.implies @t59 @t50)) % 35.61/36.83 (define @t71 () (tptp.implies @t46 @t47)) % 35.61/36.83 (define @t72 () (@list @t46 @t45)) % 35.61/36.83 (define @t73 () (tptp.is_a_theorem @t70)) % 35.61/36.83 (define @t74 () (tptp.is_a_theorem (tptp.implies @t71 @t70))) % 35.61/36.83 (define @t75 () (not @t74)) % 35.61/36.83 (define @t76 () (tptp.is_a_theorem @t71)) % 35.61/36.83 (define @t77 () (not @t76)) % 35.61/36.83 (define @t78 () (or @t77 @t75 @t73)) % 35.61/36.83 (define @t79 () (@list false false false)) % 35.61/36.83 (define @t80 () (tptp.is_a_theorem @t69)) % 35.61/36.83 (define @t81 () (tptp.is_a_theorem (tptp.implies @t70 @t69))) % 35.61/36.83 (define @t82 () (not @t81)) % 35.61/36.83 (define @t83 () (not @t73)) % 35.61/36.83 (define @t84 () (or @t83 @t82 @t80)) % 35.61/36.83 (define @t85 () (tptp.implies @t48 @t49)) % 35.61/36.83 (define @t86 () (tptp.is_a_theorem @t68)) % 35.61/36.83 (define @t87 () (tptp.is_a_theorem (tptp.implies @t85 @t68))) % 35.61/36.83 (define @t88 () (not @t87)) % 35.61/36.83 (define @t89 () (tptp.is_a_theorem @t85)) % 35.61/36.83 (define @t90 () (not @t89)) % 35.61/36.83 (define @t91 () (or @t90 @t88 @t86)) % 35.61/36.83 (define @t92 () (not @t80)) % 35.61/36.83 (define @t93 () (not @t86)) % 35.61/36.83 (define @t94 () (or @t93 @t92 @t61)) % 35.61/36.83 (define @t95 () (tptp.is_a_theorem @t57)) % 35.61/36.83 (define @t96 () (tptp.is_a_theorem @t56)) % 35.61/36.83 (define @t97 () (tptp.is_a_theorem (tptp.implies @t57 @t56))) % 35.61/36.83 (define @t98 () (not @t97)) % 35.61/36.83 (define @t99 () (not @t95)) % 35.61/36.83 (define @t100 () (or @t99 @t98 @t96)) % 35.61/36.83 (define @t101 () (not @t96)) % 35.61/36.83 (define @t102 () (tptp.is_a_theorem @t51)) % 35.61/36.83 (define @t103 () (not @t102)) % 35.61/36.83 (define @t104 () (or @t103 @t101 @t55)) % 35.61/36.83 (define @t105 () (@list false true false)) % 35.61/36.83 (define @t106 () (tptp.implies @t52 @t51)) % 35.61/36.83 (define @t107 () (tptp.is_a_theorem @t106)) % 35.61/36.83 (define @t108 () (not @t107)) % 35.61/36.83 (define @t109 () (tptp.is_a_theorem @t52)) % 35.61/36.83 (define @t110 () (not @t109)) % 35.61/36.83 (define @t111 () (or @t110 @t108 @t102)) % 35.61/36.83 (define @t112 () (tptp.implies @t45 @t47)) % 35.61/36.83 (define @t113 () (tptp.is_a_theorem (tptp.implies @t112 @t106))) % 35.61/36.83 (define @t114 () (not @t113)) % 35.61/36.83 (define @t115 () (tptp.is_a_theorem @t112)) % 35.61/36.83 (define @t116 () (not @t115)) % 35.61/36.83 (define @t117 () (or @t116 @t114 @t107)) % 35.61/36.83 (define @t118 () (not @t117)) % 35.61/36.83 (define @t119 () (forall @t8 @t44)) % 35.61/36.83 (assume @p1 @t10) % 35.61/36.83 (assume @p2 @t15) % 35.61/36.83 (assume @p3 (= tptp.modus_tollens (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t17 @t16) @t4))))) % 35.61/36.83 (assume @p4 (= tptp.implies_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t18))))) % 35.61/36.83 (assume @p5 (= tptp.implies_2 (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t3 @t4) @t4))))) % 35.61/36.83 (assume @p6 (= tptp.implies_3 (forall @t22 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t21 @t20)))))) % 35.61/36.83 (assume @p7 (= tptp.and_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t23 @t3))))) % 35.61/36.83 (assume @p8 (= tptp.and_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t23 @t1))))) % 35.61/36.83 (assume @p9 (= tptp.and_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 (tptp.implies @t1 @t23)))))) % 35.61/36.83 (assume @p10 (= tptp.or_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t24))))) % 35.61/36.83 (assume @p11 (= tptp.or_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t1 @t24))))) % 35.61/36.83 (assume @p12 (= tptp.or_3 (forall @t22 (tptp.is_a_theorem (tptp.implies @t20 (tptp.implies @t21 (tptp.implies @t24 @t19))))))) % 35.61/36.83 (assume @p13 (= tptp.equivalence_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t12 @t4))))) % 35.61/36.83 (assume @p14 (= tptp.equivalence_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t12 @t18))))) % 35.61/36.83 (assume @p15 (= tptp.equivalence_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t18 @t12)))))) % 35.61/36.83 (assume @p16 (= tptp.kn1 (forall @t26 (tptp.is_a_theorem (tptp.implies @t25 (tptp.and @t25 @t25)))))) % 35.61/36.83 (assume @p17 (= tptp.kn2 (forall @t28 (tptp.is_a_theorem (tptp.implies (tptp.and @t25 @t27) @t25))))) % 35.61/36.83 (assume @p18 (= tptp.kn3 (forall @t31 (tptp.is_a_theorem (tptp.implies @t30 (tptp.implies (tptp.not (tptp.and @t27 @t29)) (tptp.not (tptp.and @t29 @t25)))))))) % 35.61/36.83 (assume @p19 (= tptp.cn1 (forall @t31 (tptp.is_a_theorem (tptp.implies @t30 (tptp.implies @t32 (tptp.implies @t25 @t29))))))) % 35.61/36.83 (assume @p20 (= tptp.cn2 (forall @t28 (tptp.is_a_theorem (tptp.implies @t25 (tptp.implies @t33 @t27)))))) % 35.61/36.83 (assume @p21 (= tptp.cn3 (forall @t26 (tptp.is_a_theorem (tptp.implies (tptp.implies @t33 @t25) @t25))))) % 35.61/36.83 (assume @p22 (= tptp.r1 (forall @t26 (tptp.is_a_theorem (tptp.implies (tptp.or @t25 @t25) @t25))))) % 35.61/36.83 (assume @p23 (= tptp.r2 (forall @t28 (tptp.is_a_theorem (tptp.implies @t27 @t34))))) % 35.61/36.83 (assume @p24 (= tptp.r3 (forall @t28 (tptp.is_a_theorem (tptp.implies @t34 (tptp.or @t27 @t25)))))) % 35.61/36.83 (assume @p25 (= tptp.r4 (forall @t31 (tptp.is_a_theorem (tptp.implies (tptp.or @t25 (tptp.or @t27 @t29)) (tptp.or @t27 @t35)))))) % 35.61/36.83 (assume @p26 (= tptp.r5 @t36)) % 35.61/36.83 (assume @p27 @t38) % 35.61/36.83 (assume @p28 (=> tptp.op_and (forall @t8 (= @t23 (tptp.not (tptp.or @t16 @t17)))))) % 35.61/36.83 (assume @p29 (=> tptp.op_implies_and (forall @t8 (= @t4 (tptp.not (tptp.and @t3 @t17)))))) % 35.61/36.83 (assume @p30 @t40) % 35.61/36.83 (assume @p31 (=> tptp.op_equiv (forall @t8 (= @t12 (tptp.and @t4 @t18))))) % 35.61/36.83 (assume @p32 tptp.op_or) % 35.61/36.83 (assume @p33 tptp.op_implies_and) % 35.61/36.83 (assume @p34 tptp.op_equiv) % 35.61/36.83 (assume @p35 tptp.modus_ponens) % 35.61/36.83 (assume @p36 tptp.modus_tollens) % 35.61/36.83 (assume @p37 tptp.implies_1) % 35.61/36.83 (assume @p38 tptp.implies_2) % 35.61/36.83 (assume @p39 tptp.implies_3) % 35.61/36.83 (assume @p40 tptp.and_1) % 35.61/36.83 (assume @p41 tptp.and_2) % 35.61/36.83 (assume @p42 tptp.and_3) % 35.61/36.83 (assume @p43 tptp.or_1) % 35.61/36.83 (assume @p44 tptp.or_2) % 35.61/36.83 (assume @p45 tptp.or_3) % 35.61/36.83 (assume @p46 tptp.equivalence_1) % 35.61/36.83 (assume @p47 tptp.equivalence_2) % 35.61/36.83 (assume @p48 tptp.equivalence_3) % 35.61/36.83 (assume @p49 tptp.substitution_of_equivalents) % 35.61/36.83 (assume @p50 tptp.op_implies_or) % 35.61/36.83 (assume @p51 tptp.op_and) % 35.61/36.83 (assume @p52 @t41) % 35.61/36.83 (assume @p53 true) % 35.61/36.83 (step @p54 :rule aci_norm :args ((= (or (or @t43 @t42) @t2) @t44))) % 35.61/36.83 (step @p55 :rule refl :args (@t2)) % 35.61/36.83 (step @p56 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 35.61/36.83 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t7) @t2))) % 35.61/36.83 (step @p58 :rule trans :premises (@p57 @p54)) % 35.61/36.83 (step @p59 :rule bool-impl-elim :args (@t7 @t2)) % 35.61/36.83 (step @p60 :rule trans :premises (@p59 @p58)) % 35.61/36.83 (step @p61 :rule cong :premises (@p60) :args (@t9)) % 35.61/36.83 (step @p62 :rule refl :args (tptp.modus_ponens)) % 35.61/36.83 (step @p63 :rule cong :premises (@p62 @p61) :args (@t10)) % 35.61/36.83 (step @p64 :rule eq_resolve :premises (@p1 @p63)) % 35.61/36.83 (step @p65 :rule eq_resolve :premises (@p35 @p64)) % 35.61/36.83 (step @p66 :rule eq_resolve :premises (@p39 @p6)) % 35.61/36.83 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t45 @t47 @t50))) % 35.61/36.83 (step @p68 :rule instantiate :premises (@p65) :args ((@list @t52 @t51))) % 35.61/36.83 (step @p69 :rule instantiate :premises (@p65) :args ((@list @t51 @t54))) % 35.61/36.83 (step @p70 :rule cong :premises (@p26) :args (@t41)) % 35.61/36.83 (step @p71 :rule eq_resolve :premises (@p52 @p70)) % 35.61/36.83 (step @p72 :rule skolemize :premises (@p71)) % 35.61/36.83 (step @p73 :rule false_intro :premises (@p72)) % 35.61/36.83 (step @p74 :rule refl :args (@t50)) % 35.61/36.83 (step @p75 :rule bool-impl-true2 :args (@t39)) % 35.61/36.83 (step @p76 :rule refl :args (@t39)) % 35.61/36.83 (step @p77 :rule bool-eq-true :args (tptp.op_implies_or)) % 35.61/36.83 (step @p78 :rule symm :premises (@p77)) % 35.61/36.83 (step @p79 :rule eq_resolve :premises (@p50 @p78)) % 35.61/36.83 (step @p80 :rule cong :premises (@p79 @p76) :args (@t40)) % 35.61/36.83 (step @p81 :rule trans :premises (@p80 @p75)) % 35.61/36.83 (step @p82 :rule eq_resolve :premises (@p30 @p81)) % 35.61/36.83 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t48 @t45))) % 35.61/36.83 (step @p84 :rule symm :premises (@p83)) % 35.61/36.83 (step @p85 :rule cong :premises (@p84 @p74) :args (@t54)) % 35.61/36.83 (step @p86 :rule cong :premises (@p85) :args (@t55)) % 35.61/36.83 (step @p87 :rule trans :premises (@p86 @p73)) % 35.61/36.83 (step @p88 :rule false_elim :premises (@p87)) % 35.61/36.83 (step @p89 :rule instantiate :premises (@p65) :args ((@list @t57 @t56))) % 35.61/36.83 (step @p90 :rule eq_resolve :premises (@p43 @p10)) % 35.61/36.83 (step @p91 :rule instantiate :premises (@p90) :args (@t58)) % 35.61/36.83 (step @p92 :rule true_intro :premises (@p91)) % 35.61/36.83 (step @p93 :rule bool-impl-true2 :args (@t37)) % 35.61/36.83 (step @p94 :rule refl :args (@t37)) % 35.61/36.83 (step @p95 :rule bool-eq-true :args (tptp.op_or)) % 35.61/36.83 (step @p96 :rule symm :premises (@p95)) % 35.61/36.83 (step @p97 :rule eq_resolve :premises (@p32 @p96)) % 35.61/36.83 (step @p98 :rule cong :premises (@p97 @p94) :args (@t38)) % 35.61/36.83 (step @p99 :rule trans :premises (@p98 @p93)) % 35.61/36.83 (step @p100 :rule eq_resolve :premises (@p27 @p99)) % 35.61/36.83 (step @p101 :rule instantiate :premises (@p100) :args (@t58)) % 35.61/36.83 (step @p102 :rule symm :premises (@p101)) % 35.61/36.83 (step @p103 :rule refl :args (@t53)) % 35.61/36.83 (step @p104 :rule cong :premises (@p103 @p102) :args ((tptp.implies @t53 (tptp.not (tptp.and (tptp.not @t53) (tptp.not @t47)))))) % 35.61/36.83 (step @p105 :rule instantiate :premises (@p82) :args ((@list @t48 @t47))) % 35.61/36.83 (step @p106 :rule bool-impl-elim :args (@t13 @t11)) % 35.61/36.83 (step @p107 :rule cong :premises (@p106) :args (@t14)) % 35.61/36.83 (step @p108 :rule refl :args (tptp.substitution_of_equivalents)) % 35.61/36.83 (step @p109 :rule cong :premises (@p108 @p107) :args (@t15)) % 35.61/36.83 (step @p110 :rule eq_resolve :premises (@p2 @p109)) % 35.61/36.83 (step @p111 :rule eq_resolve :premises (@p49 @p110)) % 35.61/36.83 (step @p112 :rule eq-symm :args (@t59 @t50)) % 35.61/36.83 (step @p113 :rule refl :args (@t62)) % 35.61/36.83 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t63)) % 35.61/36.83 (step @p115 :rule refl :args (@t64)) % 35.61/36.83 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t64 @t63))) % 35.61/36.83 (assume-push @p179 @t64) % 35.61/36.83 (step @p118 :rule instantiate :premises (@p111) :args (@t65)) % 35.61/36.83 (step-pop @p180 :rule scope :premises (@p118)) % 35.61/36.83 (step @p119 :rule process_scope :premises (@p180) :args (@t63)) % 35.61/36.83 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 35.61/36.83 (step @p122 :rule implies_elim :premises (@p121)) % 35.61/36.83 (step @p123 :rule chain_m_resolution :premises (@p122 @p111) :args (@t67 (@list false) (@list @t64))) % 35.61/36.83 (step @p124 :rule instantiate :premises (@p65) :args ((@list @t68 @t60))) % 35.61/36.83 (step @p125 :rule instantiate :premises (@p65) :args ((@list @t70 @t69))) % 35.61/36.83 (step @p126 :rule eq_resolve :premises (@p48 @p15)) % 35.61/36.83 (step @p127 :rule instantiate :premises (@p126) :args (@t65)) % 35.61/36.83 (step @p128 :rule instantiate :premises (@p65) :args ((@list @t71 @t70))) % 35.61/36.83 (step @p129 :rule eq_resolve :premises (@p45 @p12)) % 35.61/36.83 (step @p130 :rule instantiate :premises (@p129) :args ((@list @t46 @t48 @t47))) % 35.61/36.83 (step @p131 :rule instantiate :premises (@p90) :args (@t72)) % 35.61/36.83 (step @p132 :rule cnf_or_pos :args (@t78)) % 35.61/36.83 (step @p133 :rule reordering :premises (@p132) :args ((or @t77 @t75 @t73 (not @t78)))) % 35.61/36.83 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p130 @p128) :args (@t73 @t79 (@list @t76 @t74 @t78))) % 35.61/36.83 (step @p135 :rule cnf_or_pos :args (@t84)) % 35.61/36.83 (step @p136 :rule reordering :premises (@p135) :args ((or @t83 @t82 @t80 (not @t84)))) % 35.61/36.83 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p127 @p125) :args (@t80 @t79 (@list @t73 @t81 @t84))) % 35.61/36.83 (step @p138 :rule instantiate :premises (@p65) :args ((@list @t85 @t68))) % 35.61/36.83 (step @p139 :rule instantiate :premises (@p66) :args ((@list @t48 @t49 @t47))) % 35.61/36.83 (step @p140 :rule eq_resolve :premises (@p44 @p11)) % 35.61/36.83 (step @p141 :rule instantiate :premises (@p140) :args ((@list @t46 @t48))) % 35.61/36.83 (step @p142 :rule cnf_or_pos :args (@t91)) % 35.61/36.83 (step @p143 :rule reordering :premises (@p142) :args ((or @t90 @t88 @t86 (not @t91)))) % 35.61/36.83 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p139 @p138) :args (@t86 @t79 (@list @t89 @t87 @t91))) % 35.61/36.83 (step @p145 :rule cnf_or_pos :args (@t94)) % 35.61/36.83 (step @p146 :rule reordering :premises (@p145) :args ((or @t61 @t93 @t92 (not @t94)))) % 35.61/36.83 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p137 @p124) :args (@t61 @t79 (@list @t86 @t80 @t94))) % 35.61/36.83 (step @p148 :rule cnf_or_pos :args (@t67)) % 35.61/36.83 (step @p149 :rule reordering :premises (@p148) :args ((or @t66 @t62 (not @t67)))) % 35.61/36.83 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p123) :args (@t66 (@list false false) (@list @t61 @t67))) % 35.61/36.83 (step @p151 :rule trans :premises (@p150 @p105 @p101)) % 35.61/36.83 (step @p152 :rule cong :premises (@p103 @p151) :args (@t57)) % 35.61/36.83 (step @p153 :rule trans :premises (@p152 @p104)) % 35.61/36.83 (step @p154 :rule cong :premises (@p153) :args (@t95)) % 35.61/36.83 (step @p155 :rule trans :premises (@p154 @p92)) % 35.61/36.83 (step @p156 :rule true_elim :premises (@p155)) % 35.61/36.83 (step @p157 :rule instantiate :premises (@p129) :args ((@list @t53 @t45 @t50))) % 35.61/36.83 (step @p158 :rule cnf_or_pos :args (@t100)) % 35.61/36.83 (step @p159 :rule reordering :premises (@p158) :args ((or @t98 @t99 @t96 (not @t100)))) % 35.61/36.83 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p156 @p89) :args (@t96 @t79 (@list @t97 @t95 @t100))) % 35.61/36.84 (step @p161 :rule cnf_or_pos :args (@t104)) % 35.61/36.84 (step @p162 :rule reordering :premises (@p161) :args ((or @t103 @t101 @t55 (not @t104)))) % 35.61/36.84 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p88 @p69) :args (@t103 @t105 (@list @t96 @t55 @t104))) % 35.61/36.84 (step @p164 :rule eq_resolve :premises (@p37 @p4)) % 35.61/36.84 (step @p165 :rule instantiate :premises (@p164) :args ((@list @t47 @t49))) % 35.61/36.84 (step @p166 :rule cnf_or_pos :args (@t111)) % 35.61/36.84 (step @p167 :rule reordering :premises (@p166) :args ((or @t110 @t102 @t108 (not @t111)))) % 35.61/36.84 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p163 @p68) :args (@t108 @t105 (@list @t109 @t102 @t111))) % 35.61/36.84 (step @p169 :rule instantiate :premises (@p140) :args (@t72)) % 35.61/36.84 (step @p170 :rule cnf_or_pos :args (@t117)) % 35.61/36.84 (step @p171 :rule reordering :premises (@p170) :args ((or @t116 @t107 @t114 @t118))) % 35.61/36.84 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p168 @p67) :args (@t118 @t105 (@list @t115 @t107 @t113))) % 35.61/36.84 (assume-push @p181 @t119) % 35.61/36.84 (step @p174 :rule instantiate :premises (@p65) :args ((@list @t112 @t106))) % 35.61/36.84 (step-pop @p182 :rule scope :premises (@p174)) % 35.61/36.84 (step @p175 :rule process_scope :premises (@p182) :args (@t117)) % 35.61/36.84 (step @p177 :rule implies_elim :premises (@p175)) % 35.61/36.84 (step @p178 false :rule chain_m_resolution :premises (@p177 @p172 @p65) :args (false (@list true false) (@list @t117 @t119))) % 35.61/36.84 ) % 35.61/36.84 % SZS output end Proof % 35.61/36.84 % cvc5 exiting %------------------------------------------------------------------------------