%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL287-3 : TPTP v9.3.1. Released v2.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 11:22:35 AM UTC 2026 % Result : Unsatisfiable 47.08s 48.02s % Output : Proof 47.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL287-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.12/0.38 % Computer : n010.cluster.edu % 0.12/0.38 % Model : x86_64 x86_64 % 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.38 % Memory : 8046.5625MB % 0.12/0.38 % 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 05:19:53 UTC 2026 % 0.12/0.38 % CPUTime : % 0.12/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.21/15.67 --- Run --no-e-matching --full-saturate-quant at 6... % 21.26/21.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.28/27.99 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.30/34.15 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 47.08/48.02 % SZS status Unsatisfiable % 47.08/48.02 % SZS output start Proof % 47.08/48.03 ( % 47.08/48.03 (declare-sort $$unsorted 0) % 47.08/48.03 (declare-const tptp.p $$unsorted) % 47.08/48.03 (declare-const tptp.q $$unsorted) % 47.08/48.03 (declare-const tptp.theorem (-> $$unsorted Bool)) % 47.08/48.03 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 47.08/48.03 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 47.08/48.03 (declare-const tptp.axiom (-> $$unsorted Bool)) % 47.08/48.03 (declare-const tptp.equivalent (-> $$unsorted $$unsorted $$unsorted)) % 47.08/48.03 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 47.08/48.03 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 47.08/48.03 (define @t1 () (@var "A" $$unsorted)) % 47.08/48.03 (define @t2 () (@var "B" $$unsorted)) % 47.08/48.03 (define @t3 () (tptp.or @t2 @t1)) % 47.08/48.03 (define @t4 () (@list @t1 @t2)) % 47.08/48.03 (define @t5 () (@var "C" $$unsorted)) % 47.08/48.03 (define @t6 () (@list @t1 @t2 @t5)) % 47.08/48.03 (define @t7 () (@var "Y" $$unsorted)) % 47.08/48.03 (define @t8 () (@var "X" $$unsorted)) % 47.08/48.03 (define @t9 () (@list @t8 @t7)) % 47.08/48.03 (define @t10 () (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 47.08/48.03 (define @t11 () (tptp.theorem @t8)) % 47.08/48.03 (define @t12 () (@var "Q" $$unsorted)) % 47.08/48.03 (define @t13 () (@var "P" $$unsorted)) % 47.08/48.03 (define @t14 () (@list @t13 @t12)) % 47.08/48.03 (define @t15 () (tptp.not (tptp.or (tptp.not tptp.p) (tptp.not tptp.q)))) % 47.08/48.03 (define @t16 () (tptp.and tptp.p tptp.q)) % 47.08/48.03 (define @t17 () (tptp.equivalent @t16 @t15)) % 47.08/48.03 (define @t18 () (tptp.theorem @t17)) % 47.08/48.03 (define @t19 () (tptp.not @t15)) % 47.08/48.03 (define @t20 () (tptp.or @t19 @t16)) % 47.08/48.03 (define @t21 () (tptp.implies @t20 @t20)) % 47.08/48.03 (define @t22 () (tptp.implies @t21 @t20)) % 47.08/48.03 (define @t23 () (tptp.implies @t16 @t16)) % 47.08/48.03 (define @t24 () (tptp.not @t23)) % 47.08/48.03 (define @t25 () (tptp.or @t24 @t21)) % 47.08/48.03 (define @t26 () (tptp.implies @t25 (tptp.or @t24 @t20))) % 47.08/48.03 (define @t27 () (tptp.not @t21)) % 47.08/48.03 (define @t28 () (tptp.or @t27 @t16)) % 47.08/48.03 (define @t29 () (tptp.or @t19 @t28)) % 47.08/48.03 (define @t30 () (tptp.or @t27 @t20)) % 47.08/48.03 (define @t31 () (tptp.implies @t15 @t28)) % 47.08/48.03 (define @t32 () (= @t31 @t29)) % 47.08/48.03 (define @t33 () (tptp.axiom @t29)) % 47.08/48.03 (define @t34 () (not @t33)) % 47.08/48.03 (define @t35 () (tptp.theorem @t29)) % 47.08/48.03 (define @t36 () (or @t35 @t34)) % 47.08/48.03 (define @t37 () (@list false false)) % 47.08/48.03 (define @t38 () (tptp.implies @t29 @t30)) % 47.08/48.03 (define @t39 () (tptp.axiom @t38)) % 47.08/48.03 (define @t40 () (not @t39)) % 47.08/48.03 (define @t41 () (tptp.theorem @t38)) % 47.08/48.03 (define @t42 () (or @t41 @t40)) % 47.08/48.03 (define @t43 () (not @t35)) % 47.08/48.03 (define @t44 () (not @t41)) % 47.08/48.03 (define @t45 () (tptp.theorem @t30)) % 47.08/48.03 (define @t46 () (or @t45 @t44 @t43)) % 47.08/48.03 (define @t47 () (@list false false false)) % 47.08/48.03 (define @t48 () (tptp.implies @t16 @t15)) % 47.08/48.03 (define @t49 () (tptp.theorem @t22)) % 47.08/48.03 (define @t50 () (tptp.implies @t22 @t26)) % 47.08/48.03 (define @t51 () (tptp.axiom @t50)) % 47.08/48.03 (define @t52 () (not @t51)) % 47.08/48.03 (define @t53 () (tptp.theorem @t50)) % 47.08/48.03 (define @t54 () (or @t53 @t52)) % 47.08/48.03 (define @t55 () (not @t49)) % 47.08/48.03 (define @t56 () (not @t53)) % 47.08/48.03 (define @t57 () (tptp.theorem @t26)) % 47.08/48.03 (define @t58 () (or @t57 @t56 @t55)) % 47.08/48.03 (define @t59 () (tptp.implies @t23 @t21)) % 47.08/48.03 (define @t60 () (tptp.axiom @t59)) % 47.08/48.03 (define @t61 () (not @t60)) % 47.08/48.03 (define @t62 () (tptp.theorem @t59)) % 47.08/48.03 (define @t63 () (or @t62 @t61)) % 47.08/48.03 (define @t64 () (@list @t23 @t21)) % 47.08/48.03 (define @t65 () (tptp.theorem @t25)) % 47.08/48.03 (define @t66 () (tptp.theorem (tptp.implies @t21 @t23))) % 47.08/48.03 (define @t67 () (tptp.implies @t15 @t16)) % 47.08/48.03 (define @t68 () (tptp.not @t67)) % 47.08/48.03 (define @t69 () (tptp.or @t68 @t68)) % 47.08/48.03 (define @t70 () (tptp.not @t69)) % 47.08/48.03 (define @t71 () (tptp.or @t70 @t68)) % 47.08/48.03 (define @t72 () (tptp.or @t68 @t70)) % 47.08/48.03 (define @t73 () (tptp.implies @t69 @t68)) % 47.08/48.03 (define @t74 () (tptp.axiom @t73)) % 47.08/48.03 (define @t75 () (not @t74)) % 47.08/48.03 (define @t76 () (tptp.theorem @t73)) % 47.08/48.03 (define @t77 () (or @t76 @t75)) % 47.08/48.03 (define @t78 () (tptp.theorem @t71)) % 47.08/48.03 (define @t79 () (tptp.implies @t71 @t72)) % 47.08/48.03 (define @t80 () (tptp.axiom @t79)) % 47.08/48.03 (define @t81 () (not @t80)) % 47.08/48.03 (define @t82 () (tptp.theorem @t79)) % 47.08/48.03 (define @t83 () (or @t82 @t81)) % 47.08/48.03 (define @t84 () (not @t78)) % 47.08/48.03 (define @t85 () (not @t82)) % 47.08/48.03 (define @t86 () (tptp.theorem @t72)) % 47.08/48.03 (define @t87 () (or @t86 @t85 @t84)) % 47.08/48.03 (define @t88 () (tptp.not @t48)) % 47.08/48.03 (define @t89 () (tptp.or @t88 @t68)) % 47.08/48.03 (define @t90 () (tptp.implies @t67 @t17)) % 47.08/48.03 (define @t91 () (tptp.theorem @t90)) % 47.08/48.03 (define @t92 () (not (tptp.theorem @t67))) % 47.08/48.03 (define @t93 () (not @t91)) % 47.08/48.03 (define @t94 () (or @t18 @t93 @t92)) % 47.08/48.03 (define @t95 () (@list true false false)) % 47.08/48.03 (define @t96 () (tptp.theorem @t23)) % 47.08/48.03 (define @t97 () (tptp.theorem @t21)) % 47.08/48.03 (define @t98 () (not @t97)) % 47.08/48.03 (define @t99 () (not @t66)) % 47.08/48.03 (define @t100 () (or @t96 @t99 @t98)) % 47.08/48.03 (define @t101 () (not @t65)) % 47.08/48.03 (define @t102 () (tptp.implies @t25 @t21)) % 47.08/48.03 (define @t103 () (tptp.theorem @t102)) % 47.08/48.03 (define @t104 () (not @t103)) % 47.08/48.03 (define @t105 () (or @t97 @t104 @t101)) % 47.08/48.03 (define @t106 () (= @t16 @t15)) % 47.08/48.03 (define @t107 () (= @t67 @t20)) % 47.08/48.03 (define @t108 () (tptp.not @t20)) % 47.08/48.03 (define @t109 () (tptp.or @t108 @t20)) % 47.08/48.03 (define @t110 () (= @t21 @t109)) % 47.08/48.03 (define @t111 () (and @t106 @t107 @t110 @t57)) % 47.08/48.03 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 47.08/48.03 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 47.08/48.03 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 47.08/48.03 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 47.08/48.03 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 47.08/48.03 (assume @p6 @t10) % 47.08/48.03 (assume @p7 (forall (@list @t8) (or @t11 (not (tptp.axiom @t8))))) % 47.08/48.03 (assume @p8 (forall @t9 (or @t11 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 47.08/48.03 (assume @p9 (forall @t14 (= (tptp.and @t13 @t12) (tptp.not (tptp.or (tptp.not @t13) (tptp.not @t12)))))) % 47.08/48.03 (assume @p10 (forall @t14 (= (tptp.equivalent @t13 @t12) (tptp.and (tptp.implies @t13 @t12) (tptp.implies @t12 @t13))))) % 47.08/48.03 (assume @p11 (not @t18)) % 47.08/48.03 (step @p12 :rule instantiate :premises (@p9) :args ((@list tptp.p tptp.q))) % 47.08/48.03 (step @p13 :rule instantiate :premises (@p6) :args ((@list @t15 @t16))) % 47.08/48.03 (step @p14 :rule instantiate :premises (@p6) :args ((@list @t20 @t20))) % 47.08/48.03 (step @p15 :rule instantiate :premises (@p8) :args ((@list @t26 @t22))) % 47.08/48.03 (step @p16 :rule instantiate :premises (@p8) :args ((@list @t30 @t29))) % 47.08/48.03 (step @p17 :rule instantiate :premises (@p7) :args ((@list @t29))) % 47.08/48.03 (step @p18 :rule instantiate :premises (@p2) :args ((@list @t16 @t27))) % 47.08/48.03 (step @p19 :rule true_intro :premises (@p18)) % 47.08/48.03 (step @p20 :rule refl :args (@t28)) % 47.08/48.03 (step @p21 :rule symm :premises (@p12)) % 47.08/48.03 (step @p22 :rule cong :premises (@p21 @p20) :args (@t31)) % 47.08/48.03 (step @p23 :rule eq-symm :args (@t31 @t29)) % 47.08/48.03 (step @p24 :rule refl :args (@t10)) % 47.08/48.03 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t10 @t32))) % 47.08/48.03 (assume-push @p171 @t10) % 47.08/48.03 (step @p27 :rule instantiate :premises (@p6) :args ((@list @t15 @t28))) % 47.08/48.03 (step-pop @p172 :rule scope :premises (@p27)) % 47.08/48.03 (step @p28 :rule process_scope :premises (@p172) :args (@t32)) % 47.08/48.03 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 47.08/48.03 (step @p31 :rule implies_elim :premises (@p30)) % 47.08/48.03 (step @p32 :rule chain_m_resolution :premises (@p31 @p6) :args ((= @t29 @t31) (@list false) (@list @t10))) % 47.08/48.03 (step @p33 :rule trans :premises (@p32 @p22)) % 47.08/48.03 (step @p34 :rule cong :premises (@p33) :args (@t33)) % 47.08/48.03 (step @p35 :rule trans :premises (@p34 @p19)) % 47.08/48.03 (step @p36 :rule true_elim :premises (@p35)) % 47.08/48.03 (step @p37 :rule cnf_or_pos :args (@t36)) % 47.08/48.03 (step @p38 :rule reordering :premises (@p37) :args ((or @t35 @t34 (not @t36)))) % 47.08/48.03 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p17) :args (@t35 @t37 (@list @t33 @t36))) % 47.08/48.03 (step @p40 :rule instantiate :premises (@p7) :args ((@list @t38))) % 47.08/48.03 (step @p41 :rule instantiate :premises (@p4) :args ((@list @t19 @t27 @t16))) % 47.08/48.03 (step @p42 :rule cnf_or_pos :args (@t42)) % 47.08/48.03 (step @p43 :rule reordering :premises (@p42) :args ((or @t40 @t41 (not @t42)))) % 47.08/48.03 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p40) :args (@t41 @t37 (@list @t39 @t42))) % 47.08/48.03 (step @p45 :rule cnf_or_pos :args (@t46)) % 47.08/48.03 (step @p46 :rule reordering :premises (@p45) :args ((or @t45 @t44 @t43 (not @t46)))) % 47.08/48.03 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p39 @p16) :args (@t45 @t47 (@list @t41 @t35 @t46))) % 47.08/48.03 (step @p48 :rule true_intro :premises (@p47)) % 47.08/48.03 (step @p49 :rule cong :premises (@p12 @p21) :args (@t48)) % 47.08/48.03 (step @p50 :rule refl :args (@t16)) % 47.08/48.03 (step @p51 :rule cong :premises (@p50 @p12) :args (@t23)) % 47.08/48.03 (step @p52 :rule trans :premises (@p51 @p49 @p13)) % 47.08/48.03 (step @p53 :rule refl :args (@t27)) % 47.08/48.03 (step @p54 :rule cong :premises (@p53 @p52) :args ((tptp.or @t27 @t23))) % 47.08/48.03 (step @p55 :rule instantiate :premises (@p6) :args ((@list @t21 @t23))) % 47.08/48.03 (step @p56 :rule symm :premises (@p52)) % 47.08/48.03 (step @p57 :rule refl :args (@t21)) % 47.08/48.03 (step @p58 :rule cong :premises (@p57 @p56) :args (@t22)) % 47.08/48.03 (step @p59 :rule trans :premises (@p58 @p55 @p54)) % 47.08/48.03 (step @p60 :rule cong :premises (@p59) :args (@t49)) % 47.08/48.03 (step @p61 :rule trans :premises (@p60 @p48)) % 47.08/48.03 (step @p62 :rule true_elim :premises (@p61)) % 47.08/48.03 (step @p63 :rule instantiate :premises (@p7) :args ((@list @t50))) % 47.08/48.03 (step @p64 :rule instantiate :premises (@p5) :args ((@list @t21 @t20 @t24))) % 47.08/48.03 (step @p65 :rule cnf_or_pos :args (@t54)) % 47.08/48.03 (step @p66 :rule reordering :premises (@p65) :args ((or @t52 @t53 (not @t54)))) % 47.08/48.03 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p63) :args (@t53 @t37 (@list @t51 @t54))) % 47.08/48.03 (step @p68 :rule cnf_or_pos :args (@t58)) % 47.08/48.03 (step @p69 :rule reordering :premises (@p68) :args ((or @t57 @t56 @t55 (not @t58)))) % 47.08/48.03 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p62 @p15) :args (@t57 @t47 (@list @t53 @t49 @t58))) % 47.08/48.03 (step @p71 :rule instantiate :premises (@p8) :args ((@list @t21 @t25))) % 47.08/48.03 (step @p72 :rule instantiate :premises (@p7) :args ((@list @t59))) % 47.08/48.03 (step @p73 :rule instantiate :premises (@p5) :args ((@list @t16 @t16 @t19))) % 47.08/48.03 (step @p74 :rule cnf_or_pos :args (@t63)) % 47.08/48.03 (step @p75 :rule reordering :premises (@p74) :args ((or @t61 @t62 (not @t63)))) % 47.08/48.03 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p72) :args (@t62 @t37 (@list @t60 @t63))) % 47.08/48.03 (step @p77 :rule true_intro :premises (@p76)) % 47.08/48.03 (step @p78 :rule instantiate :premises (@p6) :args (@t64)) % 47.08/48.03 (step @p79 :rule symm :premises (@p78)) % 47.08/48.03 (step @p80 :rule cong :premises (@p79) :args (@t65)) % 47.08/48.03 (step @p81 :rule trans :premises (@p80 @p77)) % 47.08/48.03 (step @p82 :rule true_elim :premises (@p81)) % 47.08/48.03 (step @p83 :rule instantiate :premises (@p8) :args (@t64)) % 47.08/48.03 (step @p84 :rule symm :premises (@p58)) % 47.08/48.03 (step @p85 :rule cong :premises (@p84) :args (@t66)) % 47.08/48.03 (step @p86 :rule trans :premises (@p85 @p60 @p48)) % 47.08/48.03 (step @p87 :rule true_elim :premises (@p86)) % 47.08/48.03 (step @p88 :rule instantiate :premises (@p8) :args ((@list @t17 @t67))) % 47.08/48.03 (step @p89 :rule instantiate :premises (@p8) :args ((@list @t72 @t71))) % 47.08/48.03 (step @p90 :rule instantiate :premises (@p7) :args ((@list @t73))) % 47.08/48.03 (step @p91 :rule instantiate :premises (@p1) :args ((@list @t68))) % 47.08/48.03 (step @p92 :rule cnf_or_pos :args (@t77)) % 47.08/48.03 (step @p93 :rule reordering :premises (@p92) :args ((or @t75 @t76 (not @t77)))) % 47.08/48.03 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90) :args (@t76 @t37 (@list @t74 @t77))) % 47.08/48.03 (step @p95 :rule true_intro :premises (@p94)) % 47.08/48.03 (step @p96 :rule instantiate :premises (@p6) :args ((@list @t69 @t68))) % 47.08/48.03 (step @p97 :rule symm :premises (@p96)) % 47.08/48.03 (step @p98 :rule cong :premises (@p97) :args (@t78)) % 47.08/48.03 (step @p99 :rule trans :premises (@p98 @p95)) % 47.08/48.03 (step @p100 :rule true_elim :premises (@p99)) % 47.08/48.03 (step @p101 :rule instantiate :premises (@p7) :args ((@list @t79))) % 47.08/48.03 (step @p102 :rule instantiate :premises (@p3) :args ((@list @t70 @t68))) % 47.08/48.03 (step @p103 :rule cnf_or_pos :args (@t83)) % 47.08/48.03 (step @p104 :rule reordering :premises (@p103) :args ((or @t81 @t82 (not @t83)))) % 47.08/48.03 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p101) :args (@t82 @t37 (@list @t80 @t83))) % 47.08/48.03 (step @p106 :rule cnf_or_pos :args (@t87)) % 47.08/48.03 (step @p107 :rule reordering :premises (@p106) :args ((or @t86 @t85 @t84 (not @t87)))) % 47.08/48.03 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p100 @p89) :args (@t86 @t47 (@list @t82 @t78 @t87))) % 47.08/48.03 (step @p109 :rule true_intro :premises (@p108)) % 47.08/48.03 (step @p110 :rule instantiate :premises (@p6) :args ((@list @t67 @t70))) % 47.08/48.03 (step @p111 :rule refl :args (@t68)) % 47.08/48.03 (step @p112 :rule cong :premises (@p49) :args (@t88)) % 47.08/48.03 (step @p113 :rule cong :premises (@p112 @p111) :args (@t89)) % 47.08/48.03 (step @p114 :rule cong :premises (@p113) :args ((tptp.not @t89))) % 47.08/48.03 (step @p115 :rule instantiate :premises (@p9) :args ((@list @t48 @t67))) % 47.08/48.03 (step @p116 :rule instantiate :premises (@p10) :args ((@list @t16 @t15))) % 47.08/48.03 (step @p117 :rule trans :premises (@p116 @p115 @p114)) % 47.08/48.03 (step @p118 :rule refl :args (@t67)) % 47.08/48.03 (step @p119 :rule cong :premises (@p118 @p117) :args (@t90)) % 47.08/48.03 (step @p120 :rule trans :premises (@p119 @p110)) % 47.08/48.03 (step @p121 :rule cong :premises (@p120) :args (@t91)) % 47.08/48.03 (step @p122 :rule trans :premises (@p121 @p109)) % 47.08/48.03 (step @p123 :rule true_elim :premises (@p122)) % 47.08/48.03 (step @p124 :rule cnf_or_pos :args (@t94)) % 47.08/48.03 (step @p125 :rule reordering :premises (@p124) :args ((or @t18 @t92 @t93 (not @t94)))) % 47.08/48.03 (step @p126 :rule chain_m_resolution :premises (@p125 @p11 @p123 @p88) :args (@t92 @t95 (@list @t18 @t91 @t94))) % 47.08/48.03 (step @p127 :rule false_intro :premises (@p126)) % 47.08/48.03 (step @p128 :rule trans :premises (@p51 @p49)) % 47.08/48.03 (step @p129 :rule cong :premises (@p128) :args (@t96)) % 47.08/48.03 (step @p130 :rule trans :premises (@p129 @p127)) % 47.08/48.03 (step @p131 :rule false_elim :premises (@p130)) % 47.08/48.03 (step @p132 :rule cnf_or_pos :args (@t100)) % 47.08/48.03 (step @p133 :rule reordering :premises (@p132) :args ((or @t98 @t96 @t99 (not @t100)))) % 47.08/48.03 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p87 @p83) :args (@t98 @t95 (@list @t96 @t66 @t100))) % 47.08/48.03 (step @p135 :rule cnf_or_pos :args (@t105)) % 47.08/48.03 (step @p136 :rule reordering :premises (@p135) :args ((or @t97 @t101 @t104 (not @t105)))) % 47.08/48.03 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p82 @p71) :args (@t104 @t95 (@list @t97 @t65 @t105))) % 47.08/48.03 (assume-push @p173 @t106) % 47.08/48.03 (assume-push @p174 @t107) % 47.08/48.03 (assume-push @p175 @t110) % 47.08/48.03 (assume-push @p176 @t57) % 47.08/48.03 (step @p142 :rule true_intro :premises (@p70)) % 47.08/48.03 (step @p143 :rule refl :args (@t20)) % 47.08/48.03 (step @p144 :rule cong :premises (@p50 @p21) :args (@t48)) % 47.08/48.03 (step @p145 :rule cong :premises (@p21 @p12) :args (@t67)) % 47.08/48.03 (step @p146 :rule trans :premises (@p145 @p144)) % 47.08/48.03 (step @p147 :rule cong :premises (@p146) :args (@t68)) % 47.08/48.03 (step @p148 :rule trans :premises (@p112 @p147)) % 47.08/48.03 (step @p149 :rule symm :premises (@p112)) % 47.08/48.03 (step @p150 :rule symm :premises (@p13)) % 47.08/48.03 (step @p151 :rule cong :premises (@p150) :args (@t108)) % 47.08/48.03 (step @p152 :rule trans :premises (@p151 @p149)) % 47.08/48.03 (step @p153 :rule trans :premises (@p152 @p148)) % 47.08/48.03 (step @p154 :rule cong :premises (@p153 @p143) :args (@t109)) % 47.08/48.03 (step @p155 :rule trans :premises (@p14 @p154)) % 47.08/48.03 (step @p156 :rule refl :args (@t25)) % 47.08/48.03 (step @p157 :rule cong :premises (@p156 @p155) :args (@t102)) % 47.08/48.03 (step @p158 :rule cong :premises (@p157) :args (@t103)) % 47.08/48.03 (step @p159 :rule trans :premises (@p158 @p142)) % 47.08/48.03 (step @p160 :rule true_elim :premises (@p159)) % 47.08/48.03 (step-pop @p177 :rule scope :premises (@p160)) % 47.08/48.03 (step-pop @p178 :rule scope :premises (@p177)) % 47.08/48.03 (step-pop @p179 :rule scope :premises (@p178)) % 47.08/48.03 (step-pop @p180 :rule scope :premises (@p179)) % 47.08/48.03 (step @p161 :rule process_scope :premises (@p180) :args (@t103)) % 47.08/48.03 (step @p166 :rule implies_elim :premises (@p161)) % 47.08/48.03 (step @p167 :rule cnf_and_neg :args (@t111)) % 47.08/48.03 (step @p168 :rule resolution :premises (@p167 @p166) :args (true @t111)) % 47.08/48.03 (step @p169 :rule reordering :premises (@p168) :args ((or (not @t106) (not @t107) (not @t110) @t103 (not @t57)))) % 47.08/48.03 (step @p170 false :rule chain_m_resolution :premises (@p169 @p137 @p70 @p14 @p13 @p12) :args (false (@list true false false false false) (@list @t103 @t57 @t110 @t107 @t106))) % 47.08/48.03 ) % 47.20/48.06 % SZS output end Proof % 47.20/48.07 % cvc5 exiting %------------------------------------------------------------------------------