%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL194-3 : 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 : n003.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 11:22:22 AM UTC 2026 % Result : Unsatisfiable 38.30s 39.18s % Output : Proof 33.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL194-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.35 % Computer : n003.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 18:57:36 UTC 2026 % 0.09/0.36 % CPUTime : % 0.14/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/15.64 --- Run --no-e-matching --full-saturate-quant at 6... % 21.27/21.81 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.27/27.97 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.31/34.13 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 38.30/39.18 % SZS status Unsatisfiable % 38.30/39.18 % SZS output start Proof % 38.30/39.19 ( % 38.30/39.19 (declare-sort $$unsorted 0) % 38.30/39.19 (declare-const tptp.p $$unsorted) % 38.30/39.19 (declare-const tptp.r $$unsorted) % 38.30/39.19 (declare-const tptp.theorem (-> $$unsorted Bool)) % 38.30/39.19 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 38.30/39.19 (declare-const tptp.q $$unsorted) % 38.30/39.19 (declare-const tptp.axiom (-> $$unsorted Bool)) % 38.30/39.19 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 38.30/39.19 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 38.30/39.19 (define @t1 () (@var "A" $$unsorted)) % 38.30/39.19 (define @t2 () (@var "B" $$unsorted)) % 38.30/39.19 (define @t3 () (tptp.or @t2 @t1)) % 38.30/39.19 (define @t4 () (@list @t1 @t2)) % 38.30/39.19 (define @t5 () (@var "C" $$unsorted)) % 38.30/39.19 (define @t6 () (@list @t1 @t2 @t5)) % 38.30/39.19 (define @t7 () (@var "Y" $$unsorted)) % 38.30/39.19 (define @t8 () (@var "X" $$unsorted)) % 38.30/39.19 (define @t9 () (@list @t8 @t7)) % 38.30/39.19 (define @t10 () (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 38.30/39.19 (define @t11 () (tptp.theorem @t8)) % 38.30/39.19 (define @t12 () (tptp.or tptp.p tptp.r)) % 38.30/39.19 (define @t13 () (tptp.or tptp.q tptp.p)) % 38.30/39.19 (define @t14 () (tptp.implies @t13 @t12)) % 38.30/39.19 (define @t15 () (tptp.implies tptp.q tptp.r)) % 38.30/39.19 (define @t16 () (tptp.or tptp.p tptp.q)) % 38.30/39.19 (define @t17 () (tptp.implies @t13 @t16)) % 38.30/39.19 (define @t18 () (tptp.implies @t16 @t12)) % 38.30/39.19 (define @t19 () (tptp.implies @t18 @t14)) % 38.30/39.19 (define @t20 () (tptp.not @t15)) % 38.30/39.19 (define @t21 () (tptp.or @t20 @t14)) % 38.30/39.19 (define @t22 () (tptp.or @t20 @t18)) % 38.30/39.19 (define @t23 () (tptp.implies @t22 @t21)) % 38.30/39.19 (define @t24 () (tptp.implies @t19 @t23)) % 38.30/39.19 (define @t25 () (tptp.axiom @t24)) % 38.30/39.19 (define @t26 () (not @t25)) % 38.30/39.19 (define @t27 () (tptp.theorem @t24)) % 38.30/39.19 (define @t28 () (or @t27 @t26)) % 38.30/39.19 (define @t29 () (@list false false)) % 38.30/39.19 (define @t30 () (tptp.implies @t15 @t18)) % 38.30/39.19 (define @t31 () (tptp.axiom @t30)) % 38.30/39.19 (define @t32 () (not @t31)) % 38.30/39.19 (define @t33 () (tptp.theorem @t30)) % 38.30/39.19 (define @t34 () (or @t33 @t32)) % 38.30/39.19 (define @t35 () (tptp.theorem @t22)) % 38.30/39.19 (define @t36 () (tptp.theorem @t21)) % 38.30/39.19 (define @t37 () (not @t35)) % 38.30/39.19 (define @t38 () (tptp.theorem @t23)) % 38.30/39.19 (define @t39 () (not @t38)) % 38.30/39.19 (define @t40 () (or @t36 @t39 @t37)) % 38.30/39.19 (define @t41 () (@list true false false)) % 38.30/39.19 (define @t42 () (tptp.theorem @t19)) % 38.30/39.19 (define @t43 () (not @t42)) % 38.30/39.19 (define @t44 () (not @t27)) % 38.30/39.19 (define @t45 () (or @t38 @t44 @t43)) % 38.30/39.19 (define @t46 () (tptp.axiom @t17)) % 38.30/39.19 (define @t47 () (not @t46)) % 38.30/39.19 (define @t48 () (tptp.theorem @t17)) % 38.30/39.19 (define @t49 () (or @t48 @t47)) % 38.30/39.19 (define @t50 () (not @t48)) % 38.30/39.19 (define @t51 () (not (tptp.theorem (tptp.implies @t17 @t19)))) % 38.30/39.19 (define @t52 () (or @t42 @t51 @t50)) % 38.30/39.19 (define @t53 () (tptp.not @t18)) % 38.30/39.19 (define @t54 () (tptp.not @t13)) % 38.30/39.19 (define @t55 () (tptp.or @t54 @t12)) % 38.30/39.19 (define @t56 () (tptp.or @t53 @t55)) % 38.30/39.19 (define @t57 () (tptp.or @t54 @t16)) % 38.30/39.19 (define @t58 () (tptp.implies @t57 @t56)) % 38.30/39.19 (define @t59 () (tptp.not @t57)) % 38.30/39.19 (define @t60 () (tptp.or @t59 @t56)) % 38.30/39.19 (define @t61 () (= @t58 @t60)) % 38.30/39.19 (define @t62 () (tptp.theorem @t60)) % 38.30/39.19 (define @t63 () (tptp.or @t53 (tptp.or @t59 @t55))) % 38.30/39.19 (define @t64 () (tptp.implies @t57 @t55)) % 38.30/39.19 (define @t65 () (tptp.implies @t18 @t64)) % 38.30/39.19 (define @t66 () (tptp.axiom @t65)) % 38.30/39.19 (define @t67 () (not @t66)) % 38.30/39.19 (define @t68 () (tptp.theorem @t65)) % 38.30/39.19 (define @t69 () (or @t68 @t67)) % 38.30/39.19 (define @t70 () (tptp.theorem @t63)) % 38.30/39.19 (define @t71 () (tptp.implies @t63 @t60)) % 38.30/39.19 (define @t72 () (tptp.axiom @t71)) % 38.30/39.19 (define @t73 () (not @t72)) % 38.30/39.19 (define @t74 () (tptp.theorem @t71)) % 38.30/39.19 (define @t75 () (or @t74 @t73)) % 38.30/39.19 (define @t76 () (not @t70)) % 38.30/39.19 (define @t77 () (not @t74)) % 38.30/39.19 (define @t78 () (or @t62 @t77 @t76)) % 38.30/39.19 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 38.30/39.19 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 38.30/39.19 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 38.30/39.19 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 38.30/39.19 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 38.30/39.19 (assume @p6 @t10) % 38.30/39.19 (assume @p7 (forall (@list @t8) (or @t11 (not (tptp.axiom @t8))))) % 38.30/39.19 (assume @p8 (forall @t9 (or @t11 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 38.30/39.19 (assume @p9 (not (tptp.theorem (tptp.implies @t15 @t14)))) % 38.30/39.19 (step @p10 :rule evaluate :args ((= true false))) % 38.30/39.19 (step @p11 :rule instantiate :premises (@p8) :args ((@list @t19 @t17))) % 38.30/39.19 (step @p12 :rule instantiate :premises (@p8) :args ((@list @t23 @t19))) % 38.30/39.19 (step @p13 :rule instantiate :premises (@p7) :args ((@list @t24))) % 38.30/39.19 (step @p14 :rule instantiate :premises (@p5) :args ((@list @t18 @t14 @t20))) % 38.30/39.19 (step @p15 :rule cnf_or_pos :args (@t28)) % 38.30/39.19 (step @p16 :rule reordering :premises (@p15) :args ((or @t26 @t27 (not @t28)))) % 38.30/39.19 (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p13) :args (@t27 @t29 (@list @t25 @t28))) % 38.30/39.19 (step @p18 :rule instantiate :premises (@p8) :args ((@list @t21 @t22))) % 38.30/39.19 (step @p19 :rule instantiate :premises (@p7) :args ((@list @t30))) % 38.30/39.19 (step @p20 :rule instantiate :premises (@p5) :args ((@list tptp.q tptp.r tptp.p))) % 38.30/39.19 (step @p21 :rule cnf_or_pos :args (@t34)) % 38.30/39.19 (step @p22 :rule reordering :premises (@p21) :args ((or @t32 @t33 (not @t34)))) % 38.30/39.19 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p19) :args (@t33 @t29 (@list @t31 @t34))) % 38.30/39.19 (step @p24 :rule true_intro :premises (@p23)) % 38.30/39.19 (step @p25 :rule instantiate :premises (@p6) :args ((@list @t15 @t18))) % 38.30/39.19 (step @p26 :rule symm :premises (@p25)) % 38.30/39.19 (step @p27 :rule cong :premises (@p26) :args (@t35)) % 38.30/39.19 (step @p28 :rule trans :premises (@p27 @p24)) % 38.30/39.19 (step @p29 :rule true_elim :premises (@p28)) % 38.30/39.19 (step @p30 :rule false_intro :premises (@p9)) % 38.30/39.19 (step @p31 :rule instantiate :premises (@p6) :args ((@list @t15 @t14))) % 38.30/39.19 (step @p32 :rule symm :premises (@p31)) % 38.30/39.19 (step @p33 :rule cong :premises (@p32) :args (@t36)) % 38.30/39.19 (step @p34 :rule trans :premises (@p33 @p30)) % 38.30/39.19 (step @p35 :rule false_elim :premises (@p34)) % 38.30/39.19 (step @p36 :rule cnf_or_pos :args (@t40)) % 38.30/39.19 (step @p37 :rule reordering :premises (@p36) :args ((or @t36 @t39 @t37 (not @t40)))) % 38.30/39.19 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p29 @p18) :args (@t39 @t41 (@list @t36 @t35 @t40))) % 38.30/39.19 (step @p39 :rule cnf_or_pos :args (@t45)) % 38.30/39.19 (step @p40 :rule reordering :premises (@p39) :args ((or @t38 @t44 @t43 (not @t45)))) % 38.30/39.19 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p17 @p12) :args (@t43 @t41 (@list @t38 @t27 @t45))) % 38.30/39.19 (step @p42 :rule instantiate :premises (@p7) :args ((@list @t17))) % 38.30/39.19 (step @p43 :rule instantiate :premises (@p3) :args ((@list tptp.q tptp.p))) % 38.30/39.19 (step @p44 :rule cnf_or_pos :args (@t49)) % 38.30/39.19 (step @p45 :rule reordering :premises (@p44) :args ((or @t47 @t48 (not @t49)))) % 38.30/39.19 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42) :args (@t48 @t29 (@list @t46 @t49))) % 38.30/39.19 (step @p47 :rule cnf_or_pos :args (@t52)) % 38.30/39.19 (step @p48 :rule reordering :premises (@p47) :args ((or @t50 @t42 @t51 (not @t52)))) % 38.30/39.19 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p41 @p11) :args (@t51 (@list false true false) (@list @t48 @t42 @t52))) % 38.30/39.19 (step @p50 :rule false_intro :premises (@p49)) % 38.30/39.19 (step @p51 :rule instantiate :premises (@p6) :args ((@list @t18 @t14))) % 38.30/39.19 (step @p52 :rule symm :premises (@p51)) % 38.30/39.19 (step @p53 :rule instantiate :premises (@p6) :args ((@list @t13 @t12))) % 38.30/39.19 (step @p54 :rule symm :premises (@p53)) % 38.30/39.19 (step @p55 :rule refl :args (@t53)) % 38.30/39.19 (step @p56 :rule cong :premises (@p55 @p54) :args (@t56)) % 38.30/39.19 (step @p57 :rule trans :premises (@p56 @p52)) % 38.30/39.19 (step @p58 :rule instantiate :premises (@p6) :args ((@list @t13 @t16))) % 38.30/39.19 (step @p59 :rule symm :premises (@p58)) % 38.30/39.19 (step @p60 :rule cong :premises (@p59 @p57) :args (@t58)) % 38.30/39.19 (step @p61 :rule eq-symm :args (@t58 @t60)) % 38.30/39.19 (step @p62 :rule refl :args (@t10)) % 38.30/39.19 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t10 @t61))) % 38.30/39.19 (assume-push @p101 @t10) % 38.30/39.19 (step @p65 :rule instantiate :premises (@p6) :args ((@list @t57 @t56))) % 38.30/39.19 (step-pop @p102 :rule scope :premises (@p65)) % 38.30/39.19 (step @p66 :rule process_scope :premises (@p102) :args (@t61)) % 38.30/39.19 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 38.30/39.19 (step @p69 :rule implies_elim :premises (@p68)) % 38.30/39.19 (step @p70 :rule chain_m_resolution :premises (@p69 @p6) :args ((= @t60 @t58) (@list false) (@list @t10))) % 38.30/39.19 (step @p71 :rule trans :premises (@p70 @p60)) % 38.30/39.19 (step @p72 :rule cong :premises (@p71) :args (@t62)) % 38.30/39.19 (step @p73 :rule instantiate :premises (@p8) :args ((@list @t60 @t63))) % 38.30/39.19 (step @p74 :rule instantiate :premises (@p7) :args ((@list @t65))) % 38.30/39.19 (step @p75 :rule instantiate :premises (@p5) :args ((@list @t16 @t12 @t54))) % 38.30/39.19 (step @p76 :rule cnf_or_pos :args (@t69)) % 38.30/39.19 (step @p77 :rule reordering :premises (@p76) :args ((or @t67 @t68 (not @t69)))) % 38.30/39.19 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p74) :args (@t68 @t29 (@list @t66 @t69))) % 38.30/39.19 (step @p79 :rule true_intro :premises (@p78)) % 38.30/39.19 (step @p80 :rule instantiate :premises (@p6) :args ((@list @t18 @t64))) % 38.30/39.19 (step @p81 :rule symm :premises (@p80)) % 38.30/39.19 (step @p82 :rule instantiate :premises (@p6) :args ((@list @t57 @t55))) % 38.30/39.19 (step @p83 :rule symm :premises (@p82)) % 38.30/39.19 (step @p84 :rule cong :premises (@p55 @p83) :args (@t63)) % 38.30/39.19 (step @p85 :rule trans :premises (@p84 @p81)) % 38.30/39.19 (step @p86 :rule cong :premises (@p85) :args (@t70)) % 38.30/39.19 (step @p87 :rule trans :premises (@p86 @p79)) % 38.30/39.19 (step @p88 :rule true_elim :premises (@p87)) % 38.30/39.19 (step @p89 :rule instantiate :premises (@p7) :args ((@list @t71))) % 38.30/39.19 (step @p90 :rule instantiate :premises (@p4) :args ((@list @t53 @t59 @t55))) % 38.30/39.19 (step @p91 :rule cnf_or_pos :args (@t75)) % 38.30/39.19 (step @p92 :rule reordering :premises (@p91) :args ((or @t73 @t74 (not @t75)))) % 38.30/39.19 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p89) :args (@t74 @t29 (@list @t72 @t75))) % 38.30/39.19 (step @p94 :rule cnf_or_pos :args (@t78)) % 38.30/39.19 (step @p95 :rule reordering :premises (@p94) :args ((or @t62 @t77 @t76 (not @t78)))) % 38.30/39.19 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p88 @p73) :args (@t62 (@list false false false) (@list @t74 @t70 @t78))) % 38.30/39.19 (step @p97 :rule true_intro :premises (@p96)) % 38.30/39.19 (step @p98 :rule symm :premises (@p97)) % 38.30/39.19 (step @p99 :rule trans :premises (@p98 @p72 @p50)) % 38.30/39.19 (step @p100 false :rule eq_resolve :premises (@p99 @p10)) % 38.30/39.19 ) % 33.32/39.21 % SZS output end Proof % 33.32/39.21 % cvc5 exiting %------------------------------------------------------------------------------