%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL494+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 : n019.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 4.76s 5.13s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL494+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n019.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.04/0.36 % CPULimit : 300 % 0.04/0.36 % WCLimit : 300 % 0.04/0.36 % DateTime : Fri Sep 4 19:02:23 UTC 2026 % 0.04/0.36 % CPUTime : % 0.04/0.44 %----Proving TF0_NAR, FOF, or CNF % 4.76/5.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.76/5.13 % SZS status Theorem % 4.76/5.13 % SZS output start Proof % 4.76/5.13 ( % 4.76/5.13 (declare-sort $$unsorted 0) % 4.76/5.13 (declare-const tptp.op_equiv Bool) % 4.76/5.13 (declare-const tptp.op_implies_or Bool) % 4.76/5.13 (declare-const tptp.op_and Bool) % 4.76/5.13 (declare-const tptp.r4 Bool) % 4.76/5.13 (declare-const tptp.r3 Bool) % 4.76/5.13 (declare-const tptp.implies_2 Bool) % 4.76/5.13 (declare-const tptp.and_2 Bool) % 4.76/5.13 (declare-const tptp.modus_tollens Bool) % 4.76/5.13 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 4.76/5.13 (declare-const tptp.op_or Bool) % 4.76/5.13 (declare-const tptp.or_1 Bool) % 4.76/5.13 (declare-const tptp.equivalence_3 Bool) % 4.76/5.13 (declare-const tptp.and_1 Bool) % 4.76/5.13 (declare-const tptp.equiv (-> $$unsorted $$unsorted $$unsorted)) % 4.76/5.13 (declare-const tptp.implies_3 Bool) % 4.76/5.13 (declare-const tptp.substitution_of_equivalents Bool) % 4.76/5.13 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 4.76/5.13 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 4.76/5.13 (declare-const tptp.op_implies_and Bool) % 4.76/5.13 (declare-const tptp.or_3 Bool) % 4.76/5.13 (declare-const tptp.equivalence_2 Bool) % 4.76/5.13 (declare-const tptp.modus_ponens Bool) % 4.76/5.13 (declare-const tptp.implies_1 Bool) % 4.76/5.13 (declare-const tptp.equivalence_1 Bool) % 4.76/5.13 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 4.76/5.13 (declare-const tptp.r5 Bool) % 4.76/5.13 (declare-const tptp.and_3 Bool) % 4.76/5.13 (declare-const tptp.cn3 Bool) % 4.76/5.13 (declare-const tptp.or_2 Bool) % 4.76/5.13 (declare-const tptp.kn1 Bool) % 4.76/5.13 (declare-const tptp.cn1 Bool) % 4.76/5.13 (declare-const tptp.kn2 Bool) % 4.76/5.13 (declare-const tptp.cn2 Bool) % 4.76/5.13 (declare-const tptp.kn3 Bool) % 4.76/5.13 (declare-const tptp.is_a_theorem (-> $$unsorted Bool)) % 4.76/5.13 (declare-const tptp.r1 Bool) % 4.76/5.13 (declare-const tptp.r2 Bool) % 4.76/5.13 (define @t1 () (@var "Y" $$unsorted)) % 4.76/5.13 (define @t2 () (tptp.is_a_theorem @t1)) % 4.76/5.13 (define @t3 () (@var "X" $$unsorted)) % 4.76/5.13 (define @t4 () (tptp.implies @t3 @t1)) % 4.76/5.13 (define @t5 () (tptp.is_a_theorem @t4)) % 4.76/5.13 (define @t6 () (tptp.is_a_theorem @t3)) % 4.76/5.13 (define @t7 () (and @t6 @t5)) % 4.76/5.13 (define @t8 () (@list @t3 @t1)) % 4.76/5.13 (define @t9 () (forall @t8 (=> @t7 @t2))) % 4.76/5.13 (define @t10 () (= tptp.modus_ponens @t9)) % 4.76/5.13 (define @t11 () (tptp.equiv @t3 @t1)) % 4.76/5.13 (define @t12 () (tptp.not @t3)) % 4.76/5.13 (define @t13 () (tptp.not @t1)) % 4.76/5.13 (define @t14 () (tptp.implies @t1 @t3)) % 4.76/5.13 (define @t15 () (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t14)))) % 4.76/5.13 (define @t16 () (@var "Z" $$unsorted)) % 4.76/5.13 (define @t17 () (tptp.implies @t3 @t16)) % 4.76/5.13 (define @t18 () (tptp.implies @t1 @t16)) % 4.76/5.13 (define @t19 () (@list @t3 @t1 @t16)) % 4.76/5.13 (define @t20 () (tptp.and @t3 @t1)) % 4.76/5.13 (define @t21 () (tptp.or @t3 @t1)) % 4.76/5.13 (define @t22 () (forall @t8 (tptp.is_a_theorem (tptp.implies @t1 @t21)))) % 4.76/5.13 (define @t23 () (forall @t8 (tptp.is_a_theorem (tptp.implies @t11 @t14)))) % 4.76/5.13 (define @t24 () (@var "P" $$unsorted)) % 4.76/5.13 (define @t25 () (@list @t24)) % 4.76/5.13 (define @t26 () (@var "Q" $$unsorted)) % 4.76/5.13 (define @t27 () (@list @t24 @t26)) % 4.76/5.13 (define @t28 () (@var "R" $$unsorted)) % 4.76/5.13 (define @t29 () (tptp.implies @t24 @t26)) % 4.76/5.13 (define @t30 () (@list @t24 @t26 @t28)) % 4.76/5.13 (define @t31 () (tptp.implies @t26 @t28)) % 4.76/5.13 (define @t32 () (tptp.not @t24)) % 4.76/5.13 (define @t33 () (tptp.or @t24 @t26)) % 4.76/5.13 (define @t34 () (forall @t27 (tptp.is_a_theorem (tptp.implies @t26 @t33)))) % 4.76/5.13 (define @t35 () (forall @t27 (tptp.is_a_theorem (tptp.implies @t33 (tptp.or @t26 @t24))))) % 4.76/5.13 (define @t36 () (tptp.or @t24 @t28)) % 4.76/5.13 (define @t37 () (forall @t8 (= @t21 (tptp.not (tptp.and @t12 @t13))))) % 4.76/5.13 (define @t38 () (forall @t8 (= @t4 (tptp.not (tptp.and @t3 @t13))))) % 4.76/5.13 (define @t39 () (forall @t8 (= @t4 (tptp.or @t12 @t1)))) % 4.76/5.13 (define @t40 () (forall @t8 (= @t11 (tptp.and @t4 @t14)))) % 4.76/5.13 (define @t41 () (@list false)) % 4.76/5.13 (define @t42 () (@quantifiers_skolemize @t23 0)) % 4.76/5.13 (define @t43 () (@quantifiers_skolemize @t23 1)) % 4.76/5.13 (define @t44 () (@list @t43 @t42)) % 4.76/5.13 (define @t45 () (tptp.not @t43)) % 4.76/5.13 (define @t46 () (tptp.not @t42)) % 4.76/5.13 (define @t47 () (tptp.and @t43 @t46)) % 4.76/5.13 (define @t48 () (tptp.implies @t42 @t43)) % 4.76/5.13 (define @t49 () (@quantifiers_skolemize @t15 0)) % 4.76/5.13 (define @t50 () (@quantifiers_skolemize @t15 1)) % 4.76/5.13 (define @t51 () (tptp.implies @t49 (tptp.implies @t50 @t49))) % 4.76/5.13 (define @t52 () (tptp.is_a_theorem @t51)) % 4.76/5.13 (define @t53 () (not @t52)) % 4.76/5.13 (define @t54 () (not @t15)) % 4.76/5.13 (define @t55 () (tptp.implies @t48 @t47)) % 4.76/5.13 (define @t56 () (tptp.implies @t47 @t55)) % 4.76/5.13 (define @t57 () (tptp.is_a_theorem @t56)) % 4.76/5.13 (define @t58 () (not @t5)) % 4.76/5.13 (define @t59 () (not @t6)) % 4.76/5.13 (define @t60 () (or @t59 @t58 @t2)) % 4.76/5.13 (define @t61 () (forall @t8 @t60)) % 4.76/5.13 (define @t62 () (tptp.implies @t43 @t42)) % 4.76/5.13 (define @t63 () (tptp.equiv @t42 @t43)) % 4.76/5.13 (define @t64 () (tptp.not @t63)) % 4.76/5.13 (define @t65 () (tptp.or @t64 @t62)) % 4.76/5.13 (define @t66 () (tptp.or @t62 @t64)) % 4.76/5.13 (define @t67 () (tptp.is_a_theorem @t65)) % 4.76/5.13 (define @t68 () (tptp.is_a_theorem (tptp.implies @t66 @t65))) % 4.76/5.13 (define @t69 () (not @t68)) % 4.76/5.13 (define @t70 () (tptp.is_a_theorem @t66)) % 4.76/5.13 (define @t71 () (not @t70)) % 4.76/5.13 (define @t72 () (or @t71 @t69 @t67)) % 4.76/5.13 (define @t73 () (tptp.not @t47)) % 4.76/5.13 (define @t74 () (tptp.or @t73 @t55)) % 4.76/5.13 (define @t75 () (= @t56 @t74)) % 4.76/5.13 (define @t76 () (not @t75)) % 4.76/5.13 (define @t77 () (not @t57)) % 4.76/5.13 (define @t78 () (tptp.and @t48 @t73)) % 4.76/5.13 (define @t79 () (tptp.not @t78)) % 4.76/5.13 (define @t80 () (= @t55 @t79)) % 4.76/5.13 (define @t81 () (not @t80)) % 4.76/5.13 (define @t82 () (tptp.not (tptp.and (tptp.not @t45) @t46))) % 4.76/5.13 (define @t83 () (tptp.or @t45 @t42)) % 4.76/5.13 (define @t84 () (= @t83 @t82)) % 4.76/5.13 (define @t85 () (not @t84)) % 4.76/5.13 (define @t86 () (= @t62 @t73)) % 4.76/5.13 (define @t87 () (not @t86)) % 4.76/5.13 (define @t88 () (= @t63 (tptp.and @t48 @t62))) % 4.76/5.13 (define @t89 () (not @t88)) % 4.76/5.13 (define @t90 () (= @t62 @t83)) % 4.76/5.13 (define @t91 () (not @t90)) % 4.76/5.13 (define @t92 () (and @t71 @t90 @t84 @t86 @t88 @t80 @t75 @t57)) % 4.76/5.13 (assume @p1 @t10) % 4.76/5.13 (assume @p2 (= tptp.substitution_of_equivalents (forall @t8 (=> (tptp.is_a_theorem @t11) (= @t3 @t1))))) % 4.76/5.13 (assume @p3 (= tptp.modus_tollens (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t13 @t12) @t4))))) % 4.76/5.13 (assume @p4 (= tptp.implies_1 @t15)) % 4.76/5.13 (assume @p5 (= tptp.implies_2 (forall @t8 (tptp.is_a_theorem (tptp.implies (tptp.implies @t3 @t4) @t4))))) % 4.76/5.13 (assume @p6 (= tptp.implies_3 (forall @t19 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t18 @t17)))))) % 4.76/5.13 (assume @p7 (= tptp.and_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t20 @t3))))) % 4.76/5.13 (assume @p8 (= tptp.and_2 (forall @t8 (tptp.is_a_theorem (tptp.implies @t20 @t1))))) % 4.76/5.13 (assume @p9 (= tptp.and_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 (tptp.implies @t1 @t20)))))) % 4.76/5.13 (assume @p10 (= tptp.or_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t3 @t21))))) % 4.76/5.13 (assume @p11 (= tptp.or_2 @t22)) % 4.76/5.13 (assume @p12 (= tptp.or_3 (forall @t19 (tptp.is_a_theorem (tptp.implies @t17 (tptp.implies @t18 (tptp.implies @t21 @t16))))))) % 4.76/5.13 (assume @p13 (= tptp.equivalence_1 (forall @t8 (tptp.is_a_theorem (tptp.implies @t11 @t4))))) % 4.76/5.13 (assume @p14 (= tptp.equivalence_2 @t23)) % 4.76/5.13 (assume @p15 (= tptp.equivalence_3 (forall @t8 (tptp.is_a_theorem (tptp.implies @t4 (tptp.implies @t14 @t11)))))) % 4.76/5.13 (assume @p16 (= tptp.kn1 (forall @t25 (tptp.is_a_theorem (tptp.implies @t24 (tptp.and @t24 @t24)))))) % 4.76/5.13 (assume @p17 (= tptp.kn2 (forall @t27 (tptp.is_a_theorem (tptp.implies (tptp.and @t24 @t26) @t24))))) % 4.76/5.13 (assume @p18 (= tptp.kn3 (forall @t30 (tptp.is_a_theorem (tptp.implies @t29 (tptp.implies (tptp.not (tptp.and @t26 @t28)) (tptp.not (tptp.and @t28 @t24)))))))) % 4.76/5.13 (assume @p19 (= tptp.cn1 (forall @t30 (tptp.is_a_theorem (tptp.implies @t29 (tptp.implies @t31 (tptp.implies @t24 @t28))))))) % 4.76/5.13 (assume @p20 (= tptp.cn2 (forall @t27 (tptp.is_a_theorem (tptp.implies @t24 (tptp.implies @t32 @t26)))))) % 4.76/5.13 (assume @p21 (= tptp.cn3 (forall @t25 (tptp.is_a_theorem (tptp.implies (tptp.implies @t32 @t24) @t24))))) % 4.76/5.13 (assume @p22 (= tptp.r1 (forall @t25 (tptp.is_a_theorem (tptp.implies (tptp.or @t24 @t24) @t24))))) % 4.76/5.13 (assume @p23 (= tptp.r2 @t34)) % 4.76/5.13 (assume @p24 (= tptp.r3 @t35)) % 4.76/5.13 (assume @p25 (= tptp.r4 (forall @t30 (tptp.is_a_theorem (tptp.implies (tptp.or @t24 (tptp.or @t26 @t28)) (tptp.or @t26 @t36)))))) % 4.76/5.13 (assume @p26 (= tptp.r5 (forall @t30 (tptp.is_a_theorem (tptp.implies @t31 (tptp.implies @t33 @t36)))))) % 4.76/5.13 (assume @p27 (=> tptp.op_or @t37)) % 4.76/5.13 (assume @p28 (=> tptp.op_and (forall @t8 (= @t20 (tptp.not (tptp.or @t12 @t13)))))) % 4.76/5.13 (assume @p29 (=> tptp.op_implies_and @t38)) % 4.76/5.13 (assume @p30 (=> tptp.op_implies_or @t39)) % 4.76/5.13 (assume @p31 (=> tptp.op_equiv @t40)) % 4.76/5.13 (assume @p32 tptp.op_implies_or) % 4.76/5.13 (assume @p33 tptp.op_and) % 4.76/5.13 (assume @p34 tptp.op_equiv) % 4.76/5.13 (assume @p35 tptp.modus_ponens) % 4.76/5.13 (assume @p36 tptp.r1) % 4.76/5.13 (assume @p37 tptp.r2) % 4.76/5.13 (assume @p38 tptp.r3) % 4.76/5.13 (assume @p39 tptp.r4) % 4.76/5.13 (assume @p40 tptp.r5) % 4.76/5.13 (assume @p41 tptp.substitution_of_equivalents) % 4.76/5.13 (assume @p42 tptp.op_or) % 4.76/5.13 (assume @p43 tptp.op_implies_and) % 4.76/5.13 (assume @p44 (not tptp.equivalence_2)) % 4.76/5.13 (assume @p45 true) % 4.76/5.13 (step @p46 :rule implies_elim :premises (@p30)) % 4.76/5.13 (step @p47 :rule reordering :premises (@p46) :args ((or @t39 (not tptp.op_implies_or)))) % 4.76/5.13 (step @p48 :rule chain_m_resolution :premises (@p47 @p32) :args (@t39 @t41 (@list tptp.op_implies_or))) % 4.76/5.13 (step @p49 :rule instantiate :premises (@p48) :args (@t44)) % 4.76/5.13 (step @p50 :rule implies_elim :premises (@p31)) % 4.76/5.13 (step @p51 :rule reordering :premises (@p50) :args ((or @t40 (not tptp.op_equiv)))) % 4.76/5.13 (step @p52 :rule chain_m_resolution :premises (@p51 @p34) :args (@t40 @t41 (@list tptp.op_equiv))) % 4.76/5.13 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t42 @t43))) % 4.76/5.13 (step @p54 :rule implies_elim :premises (@p29)) % 4.76/5.13 (step @p55 :rule reordering :premises (@p54) :args ((or @t38 (not tptp.op_implies_and)))) % 4.76/5.13 (step @p56 :rule chain_m_resolution :premises (@p55 @p43) :args (@t38 @t41 (@list tptp.op_implies_and))) % 4.76/5.13 (step @p57 :rule instantiate :premises (@p56) :args (@t44)) % 4.76/5.13 (step @p58 :rule implies_elim :premises (@p27)) % 4.76/5.13 (step @p59 :rule reordering :premises (@p58) :args ((or @t37 (not tptp.op_or)))) % 4.76/5.13 (step @p60 :rule chain_m_resolution :premises (@p59 @p42) :args (@t37 @t41 (@list tptp.op_or))) % 4.76/5.13 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t45 @t42))) % 4.76/5.13 (step @p62 :rule instantiate :premises (@p56) :args ((@list @t48 @t47))) % 4.76/5.13 (step @p63 :rule equiv_elim1 :premises (@p23)) % 4.76/5.13 (step @p64 :rule reordering :premises (@p63) :args ((or @t34 (not tptp.r2)))) % 4.76/5.13 (step @p65 :rule chain_m_resolution :premises (@p64 @p37) :args (@t34 @t41 (@list tptp.r2))) % 4.76/5.13 (step @p66 :rule alpha_equiv :args (@t22 (@list @t1 @t3) (@list @t26 @t24))) % 4.76/5.13 (step @p67 :rule equiv_elim2 :premises (@p66)) % 4.76/5.13 (step @p68 :rule chain_m_resolution :premises (@p67 @p65) :args (@t22 @t41 (@list @t34))) % 4.76/5.13 (step @p69 :rule instantiate :premises (@p68) :args ((@list (tptp.not @t50) @t49))) % 4.76/5.13 (step @p70 :rule true_intro :premises (@p69)) % 4.76/5.13 (step @p71 :rule instantiate :premises (@p48) :args ((@list @t50 @t49))) % 4.76/5.13 (step @p72 :rule refl :args (@t49)) % 4.76/5.13 (step @p73 :rule cong :premises (@p72 @p71) :args (@t51)) % 4.76/5.13 (step @p74 :rule cong :premises (@p73) :args (@t52)) % 4.76/5.13 (step @p75 :rule trans :premises (@p74 @p70)) % 4.76/5.13 (step @p76 :rule true_elim :premises (@p75)) % 4.76/5.13 (step @p77 :rule refl :args (@t53)) % 4.76/5.13 (step @p78 :rule bool-double-not-elim :args (@t15)) % 4.76/5.13 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t54) @t53))) % 4.76/5.13 (assume-push @p197 @t54) % 4.76/5.13 (step @p81 :rule skolemize :premises (@p197)) % 4.76/5.13 (step-pop @p198 :rule scope :premises (@p81)) % 4.76/5.13 (step @p82 :rule process_scope :premises (@p198) :args (@t53)) % 4.76/5.13 (step @p84 :rule implies_elim :premises (@p82)) % 4.76/5.13 (step @p85 :rule eq_resolve :premises (@p84 @p79)) % 4.76/5.13 (step @p86 :rule chain_m_resolution :premises (@p85 @p76) :args (@t15 @t41 (@list @t52))) % 4.76/5.13 (assume-push @p199 @t15) % 4.76/5.13 (step @p88 :rule instantiate :premises (@p199) :args ((@list @t47 @t48))) % 4.76/5.13 (step-pop @p200 :rule scope :premises (@p88)) % 4.76/5.13 (step @p89 :rule process_scope :premises (@p200) :args (@t57)) % 4.76/5.13 (step @p91 :rule implies_elim :premises (@p89)) % 4.76/5.13 (step @p92 :rule chain_m_resolution :premises (@p91 @p86) :args (@t57 @t41 (@list @t15))) % 4.76/5.13 (step @p93 :rule aci_norm :args ((= (or (or @t59 @t58) @t2) @t60))) % 4.76/5.13 (step @p94 :rule refl :args (@t2)) % 4.76/5.13 (step @p95 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 4.76/5.13 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or (not @t7) @t2))) % 4.76/5.13 (step @p97 :rule trans :premises (@p96 @p93)) % 4.76/5.13 (step @p98 :rule bool-impl-elim :args (@t7 @t2)) % 4.76/5.13 (step @p99 :rule trans :premises (@p98 @p97)) % 4.76/5.13 (step @p100 :rule cong :premises (@p99) :args (@t9)) % 4.76/5.13 (step @p101 :rule refl :args (tptp.modus_ponens)) % 4.76/5.13 (step @p102 :rule cong :premises (@p101 @p100) :args (@t10)) % 4.76/5.13 (step @p103 :rule eq_resolve :premises (@p1 @p102)) % 4.76/5.13 (step @p104 :rule equiv_elim1 :premises (@p103)) % 4.76/5.13 (step @p105 :rule reordering :premises (@p104) :args ((or @t61 (not tptp.modus_ponens)))) % 4.76/5.13 (step @p106 :rule chain_m_resolution :premises (@p105 @p35) :args (@t61 @t41 (@list tptp.modus_ponens))) % 4.76/5.13 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t66 @t65))) % 4.76/5.13 (step @p108 :rule equiv_elim2 :premises (@p14)) % 4.76/5.13 (step @p109 :rule chain_m_resolution :premises (@p108 @p44) :args ((not @t23) (@list true) (@list tptp.equivalence_2))) % 4.76/5.13 (step @p110 :rule skolemize :premises (@p109)) % 4.76/5.13 (step @p111 :rule false_intro :premises (@p110)) % 4.76/5.13 (step @p112 :rule instantiate :premises (@p48) :args ((@list @t63 @t62))) % 4.76/5.13 (step @p113 :rule symm :premises (@p112)) % 4.76/5.13 (step @p114 :rule cong :premises (@p113) :args (@t67)) % 4.76/5.13 (step @p115 :rule trans :premises (@p114 @p111)) % 4.76/5.13 (step @p116 :rule false_elim :premises (@p115)) % 4.76/5.13 (step @p117 :rule equiv_elim1 :premises (@p24)) % 4.76/5.13 (step @p118 :rule reordering :premises (@p117) :args ((or @t35 (not tptp.r3)))) % 4.76/5.13 (step @p119 :rule chain_m_resolution :premises (@p118 @p38) :args (@t35 @t41 (@list tptp.r3))) % 4.76/5.13 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t62 @t64))) % 4.76/5.13 (step @p121 :rule cnf_or_pos :args (@t72)) % 4.76/5.13 (step @p122 :rule reordering :premises (@p121) :args ((or @t69 @t71 @t67 (not @t72)))) % 4.76/5.13 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p116 @p107) :args (@t71 (@list false true false) (@list @t68 @t67 @t72))) % 4.76/5.13 (step @p124 :rule instantiate :premises (@p48) :args ((@list @t47 @t55))) % 4.76/5.13 (step @p125 :rule refl :args (@t76)) % 4.76/5.13 (step @p126 :rule refl :args (@t77)) % 4.76/5.13 (step @p127 :rule bool-double-not-elim :args (@t70)) % 4.76/5.13 (step @p128 :rule refl :args (@t81)) % 4.76/5.13 (step @p129 :rule refl :args (@t85)) % 4.76/5.13 (step @p130 :rule refl :args (@t87)) % 4.76/5.13 (step @p131 :rule refl :args (@t89)) % 4.76/5.13 (step @p132 :rule refl :args (@t91)) % 4.76/5.13 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125) :args ((or @t91 @t89 @t87 @t85 @t81 (not @t71) @t77 @t76))) % 4.76/5.13 (assume-push @p201 @t71) % 4.76/5.13 (assume-push @p202 @t90) % 4.76/5.13 (assume-push @p203 @t84) % 4.76/5.13 (assume-push @p204 @t86) % 4.76/5.13 (assume-push @p205 @t88) % 4.76/5.13 (assume-push @p206 @t80) % 4.76/5.13 (assume-push @p207 @t75) % 4.76/5.13 (assume-push @p208 @t57) % 4.76/5.13 (step @p142 :rule evaluate :args ((= true false))) % 4.76/5.13 (step @p143 :rule false_intro :premises (@p123)) % 4.76/5.13 (step @p144 :rule refl :args (@t64)) % 4.76/5.13 (step @p145 :rule symm :premises (@p49)) % 4.76/5.13 (step @p146 :rule symm :premises (@p61)) % 4.76/5.13 (step @p147 :rule trans :premises (@p146 @p145)) % 4.76/5.13 (step @p148 :rule cong :premises (@p147 @p144) :args ((tptp.or @t82 @t64))) % 4.76/5.13 (step @p149 :rule symm :premises (@p53)) % 4.76/5.13 (step @p150 :rule symm :premises (@p57)) % 4.76/5.13 (step @p151 :rule refl :args (@t48)) % 4.76/5.13 (step @p152 :rule cong :premises (@p151 @p150) :args (@t78)) % 4.76/5.13 (step @p153 :rule trans :premises (@p152 @p149)) % 4.76/5.13 (step @p154 :rule cong :premises (@p153) :args (@t79)) % 4.76/5.13 (step @p155 :rule trans :premises (@p62 @p154)) % 4.76/5.13 (step @p156 :rule symm :premises (@p147)) % 4.76/5.13 (step @p157 :rule trans :premises (@p150 @p156)) % 4.76/5.13 (step @p158 :rule cong :premises (@p157 @p155) :args (@t74)) % 4.76/5.13 (step @p159 :rule trans :premises (@p124 @p158 @p148)) % 4.76/5.13 (step @p160 :rule cong :premises (@p159) :args (@t57)) % 4.76/5.13 (step @p161 :rule true_intro :premises (@p208)) % 4.76/5.13 (step @p162 :rule symm :premises (@p161)) % 4.76/5.13 (step @p163 :rule trans :premises (@p162 @p160 @p143)) % 4.76/5.13 (step @p164 false :rule eq_resolve :premises (@p163 @p142)) % 4.76/5.13 (step-pop @p209 :rule scope :premises (@p164)) % 4.76/5.13 (step-pop @p210 :rule scope :premises (@p209)) % 4.76/5.13 (step-pop @p211 :rule scope :premises (@p210)) % 4.76/5.13 (step-pop @p212 :rule scope :premises (@p211)) % 4.76/5.13 (step-pop @p213 :rule scope :premises (@p212)) % 4.76/5.13 (step-pop @p214 :rule scope :premises (@p213)) % 4.76/5.13 (step-pop @p215 :rule scope :premises (@p214)) % 4.76/5.13 (step-pop @p216 :rule scope :premises (@p215)) % 4.76/5.13 (step @p165 :rule process_scope :premises (@p216) :args (false)) % 4.76/5.13 (assume-push @p217 @t90) % 4.76/5.13 (assume-push @p218 @t88) % 4.76/5.13 (assume-push @p219 @t86) % 4.76/5.13 (assume-push @p220 @t84) % 4.76/5.13 (assume-push @p221 @t80) % 4.76/5.13 (assume-push @p222 @t71) % 4.76/5.13 (assume-push @p223 @t57) % 4.76/5.13 (assume-push @p224 @t75) % 4.76/5.13 (step @p182 :rule and_intro :premises (@p123 @p49 @p61 @p57 @p53 @p62 @p124 @p223)) % 4.76/5.13 (step-pop @p225 :rule scope :premises (@p182)) % 4.76/5.13 (step-pop @p226 :rule scope :premises (@p225)) % 4.76/5.13 (step-pop @p227 :rule scope :premises (@p226)) % 4.76/5.13 (step-pop @p228 :rule scope :premises (@p227)) % 4.76/5.13 (step-pop @p229 :rule scope :premises (@p228)) % 4.76/5.13 (step-pop @p230 :rule scope :premises (@p229)) % 4.76/5.13 (step-pop @p231 :rule scope :premises (@p230)) % 4.76/5.13 (step-pop @p232 :rule scope :premises (@p231)) % 4.76/5.13 (step @p183 :rule process_scope :premises (@p232) :args (@t92)) % 0.20/5.15 (step @p192 :rule implies_elim :premises (@p183)) % 0.20/5.15 (step @p193 :rule resolution :premises (@p192 @p165) :args (true @t92)) % 0.20/5.15 (step @p194 :rule not_and :premises (@p193)) % 0.20/5.15 (step @p195 :rule eq_resolve :premises (@p194 @p133)) % 0.20/5.15 (step @p196 false :rule chain_m_resolution :premises (@p195 @p124 @p123 @p92 @p62 @p61 @p57 @p53 @p49) :args (false (@list false true false false false false false false) (@list @t75 @t70 @t57 @t80 @t84 @t86 @t88 @t90))) % 0.20/5.15 ) % 0.20/5.15 % SZS output end Proof % 0.20/5.15 % cvc5 exiting %------------------------------------------------------------------------------