%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL230-3 : 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 11:22:28 AM UTC 2026 % Result : Unsatisfiable 47.20s 48.41s % Output : Proof 47.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL230-3 : 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 % 0.11/0.36 % Computer : n003.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 % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 5 05:19:05 UTC 2026 % 0.11/0.37 % CPUTime : % 0.15/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.23/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.30/15.70 --- Run --no-e-matching --full-saturate-quant at 6... % 21.30/21.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.33/28.22 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.36/34.57 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 47.20/48.41 % SZS status Unsatisfiable % 47.20/48.41 % SZS output start Proof % 47.20/48.41 ( % 47.20/48.41 (declare-sort $$unsorted 0) % 47.20/48.41 (declare-const tptp.q $$unsorted) % 47.20/48.41 (declare-const tptp.r $$unsorted) % 47.20/48.41 (declare-const tptp.theorem (-> $$unsorted Bool)) % 47.20/48.41 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 47.20/48.41 (declare-const tptp.p $$unsorted) % 47.20/48.41 (declare-const tptp.axiom (-> $$unsorted Bool)) % 47.20/48.41 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 47.20/48.41 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 47.20/48.41 (define @t1 () (@var "A" $$unsorted)) % 47.20/48.41 (define @t2 () (@var "B" $$unsorted)) % 47.20/48.41 (define @t3 () (tptp.or @t2 @t1)) % 47.20/48.41 (define @t4 () (@list @t1 @t2)) % 47.20/48.41 (define @t5 () (@var "C" $$unsorted)) % 47.20/48.41 (define @t6 () (@list @t1 @t2 @t5)) % 47.20/48.41 (define @t7 () (@var "Y" $$unsorted)) % 47.20/48.41 (define @t8 () (@var "X" $$unsorted)) % 47.20/48.41 (define @t9 () (@list @t8 @t7)) % 47.20/48.41 (define @t10 () (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 47.20/48.41 (define @t11 () (tptp.theorem @t8)) % 47.20/48.41 (define @t12 () (tptp.implies tptp.q tptp.r)) % 47.20/48.41 (define @t13 () (tptp.or tptp.p @t12)) % 47.20/48.41 (define @t14 () (tptp.or tptp.p tptp.r)) % 47.20/48.41 (define @t15 () (tptp.or tptp.p tptp.q)) % 47.20/48.41 (define @t16 () (tptp.implies @t15 @t14)) % 47.20/48.41 (define @t17 () (tptp.implies tptp.q @t15)) % 47.20/48.41 (define @t18 () (tptp.not @t15)) % 47.20/48.41 (define @t19 () (tptp.or @t18 tptp.r)) % 47.20/48.41 (define @t20 () (tptp.implies @t19 @t12)) % 47.20/48.41 (define @t21 () (tptp.or tptp.p @t19)) % 47.20/48.41 (define @t22 () (tptp.implies @t21 @t13)) % 47.20/48.41 (define @t23 () (tptp.implies @t20 @t22)) % 47.20/48.41 (define @t24 () (tptp.axiom @t23)) % 47.20/48.41 (define @t25 () (not @t24)) % 47.20/48.41 (define @t26 () (tptp.theorem @t23)) % 47.20/48.41 (define @t27 () (or @t26 @t25)) % 47.20/48.41 (define @t28 () (@list false false)) % 47.20/48.41 (define @t29 () (tptp.or @t18 @t14)) % 47.20/48.41 (define @t30 () (tptp.not @t29)) % 47.20/48.41 (define @t31 () (tptp.or @t30 @t13)) % 47.20/48.41 (define @t32 () (tptp.or @t30 @t21)) % 47.20/48.41 (define @t33 () (tptp.implies @t32 @t31)) % 47.20/48.41 (define @t34 () (tptp.implies @t22 @t33)) % 47.20/48.41 (define @t35 () (tptp.axiom @t34)) % 47.20/48.41 (define @t36 () (not @t35)) % 47.20/48.41 (define @t37 () (tptp.theorem @t34)) % 47.20/48.41 (define @t38 () (or @t37 @t36)) % 47.20/48.41 (define @t39 () (tptp.implies @t29 @t21)) % 47.20/48.41 (define @t40 () (tptp.axiom @t39)) % 47.20/48.41 (define @t41 () (not @t40)) % 47.20/48.41 (define @t42 () (tptp.theorem @t39)) % 47.20/48.41 (define @t43 () (or @t42 @t41)) % 47.20/48.41 (define @t44 () (tptp.theorem @t32)) % 47.20/48.41 (define @t45 () (tptp.theorem @t31)) % 47.20/48.41 (define @t46 () (not @t44)) % 47.20/48.41 (define @t47 () (tptp.theorem @t33)) % 47.20/48.41 (define @t48 () (not @t47)) % 47.20/48.41 (define @t49 () (or @t45 @t48 @t46)) % 47.20/48.41 (define @t50 () (@list true false false)) % 47.20/48.41 (define @t51 () (tptp.theorem @t22)) % 47.20/48.41 (define @t52 () (not @t51)) % 47.20/48.41 (define @t53 () (not @t37)) % 47.20/48.41 (define @t54 () (or @t47 @t53 @t52)) % 47.20/48.41 (define @t55 () (tptp.theorem @t20)) % 47.20/48.41 (define @t56 () (not @t55)) % 47.20/48.41 (define @t57 () (not @t26)) % 47.20/48.41 (define @t58 () (or @t51 @t57 @t56)) % 47.20/48.41 (define @t59 () (tptp.axiom @t17)) % 47.20/48.41 (define @t60 () (not @t59)) % 47.20/48.41 (define @t61 () (tptp.theorem @t17)) % 47.20/48.41 (define @t62 () (or @t61 @t60)) % 47.20/48.41 (define @t63 () (not @t61)) % 47.20/48.41 (define @t64 () (not (tptp.theorem (tptp.implies @t17 @t20)))) % 47.20/48.41 (define @t65 () (or @t55 @t64 @t63)) % 47.20/48.41 (define @t66 () (tptp.implies @t15 tptp.r)) % 47.20/48.41 (define @t67 () (tptp.not @t66)) % 47.20/48.41 (define @t68 () (tptp.not tptp.q)) % 47.20/48.41 (define @t69 () (tptp.or @t68 tptp.r)) % 47.20/48.41 (define @t70 () (tptp.or @t67 @t69)) % 47.20/48.41 (define @t71 () (tptp.or @t68 @t15)) % 47.20/48.41 (define @t72 () (tptp.implies @t71 @t70)) % 47.20/48.41 (define @t73 () (tptp.not @t71)) % 47.20/48.41 (define @t74 () (tptp.or @t73 @t70)) % 47.20/48.41 (define @t75 () (= @t72 @t74)) % 47.20/48.41 (define @t76 () (tptp.theorem @t74)) % 47.20/48.41 (define @t77 () (tptp.or @t67 (tptp.or @t73 @t69))) % 47.20/48.41 (define @t78 () (tptp.implies @t71 @t69)) % 47.20/48.41 (define @t79 () (tptp.implies @t66 @t78)) % 47.20/48.41 (define @t80 () (tptp.axiom @t79)) % 47.20/48.41 (define @t81 () (not @t80)) % 47.20/48.41 (define @t82 () (tptp.theorem @t79)) % 47.20/48.41 (define @t83 () (or @t82 @t81)) % 47.20/48.41 (define @t84 () (tptp.theorem @t77)) % 47.20/48.41 (define @t85 () (tptp.implies @t77 @t74)) % 47.20/48.41 (define @t86 () (tptp.axiom @t85)) % 47.20/48.41 (define @t87 () (not @t86)) % 47.20/48.41 (define @t88 () (tptp.theorem @t85)) % 47.20/48.41 (define @t89 () (or @t88 @t87)) % 47.20/48.41 (define @t90 () (not @t84)) % 47.20/48.41 (define @t91 () (not @t88)) % 47.20/48.41 (define @t92 () (or @t76 @t91 @t90)) % 47.20/48.41 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 47.20/48.41 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 47.20/48.41 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 47.20/48.41 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 47.20/48.41 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 47.20/48.41 (assume @p6 @t10) % 47.20/48.41 (assume @p7 (forall (@list @t8) (or @t11 (not (tptp.axiom @t8))))) % 47.20/48.41 (assume @p8 (forall @t9 (or @t11 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 47.20/48.41 (assume @p9 (not (tptp.theorem (tptp.implies @t16 @t13)))) % 47.20/48.41 (step @p10 :rule evaluate :args ((= true false))) % 47.20/48.41 (step @p11 :rule instantiate :premises (@p8) :args ((@list @t20 @t17))) % 47.20/48.41 (step @p12 :rule instantiate :premises (@p8) :args ((@list @t22 @t20))) % 47.20/48.41 (step @p13 :rule instantiate :premises (@p7) :args ((@list @t23))) % 47.20/48.41 (step @p14 :rule instantiate :premises (@p5) :args ((@list @t19 @t12 tptp.p))) % 47.20/48.41 (step @p15 :rule cnf_or_pos :args (@t27)) % 47.20/48.41 (step @p16 :rule reordering :premises (@p15) :args ((or @t25 @t26 (not @t27)))) % 47.20/48.41 (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p13) :args (@t26 @t28 (@list @t24 @t27))) % 47.20/48.41 (step @p18 :rule instantiate :premises (@p8) :args ((@list @t33 @t22))) % 47.20/48.41 (step @p19 :rule instantiate :premises (@p7) :args ((@list @t34))) % 47.20/48.41 (step @p20 :rule instantiate :premises (@p5) :args ((@list @t21 @t13 @t30))) % 47.20/48.41 (step @p21 :rule cnf_or_pos :args (@t38)) % 47.20/48.41 (step @p22 :rule reordering :premises (@p21) :args ((or @t36 @t37 (not @t38)))) % 47.20/48.41 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p19) :args (@t37 @t28 (@list @t35 @t38))) % 47.20/48.41 (step @p24 :rule instantiate :premises (@p8) :args ((@list @t31 @t32))) % 47.20/48.41 (step @p25 :rule instantiate :premises (@p7) :args ((@list @t39))) % 47.20/48.41 (step @p26 :rule instantiate :premises (@p4) :args ((@list @t18 tptp.p tptp.r))) % 47.20/48.41 (step @p27 :rule cnf_or_pos :args (@t43)) % 47.20/48.41 (step @p28 :rule reordering :premises (@p27) :args ((or @t41 @t42 (not @t43)))) % 47.20/48.41 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25) :args (@t42 @t28 (@list @t40 @t43))) % 47.20/48.41 (step @p30 :rule true_intro :premises (@p29)) % 47.20/48.41 (step @p31 :rule instantiate :premises (@p6) :args ((@list @t29 @t21))) % 47.20/48.41 (step @p32 :rule symm :premises (@p31)) % 47.20/48.41 (step @p33 :rule cong :premises (@p32) :args (@t44)) % 47.20/48.41 (step @p34 :rule trans :premises (@p33 @p30)) % 47.20/48.41 (step @p35 :rule true_elim :premises (@p34)) % 47.20/48.41 (step @p36 :rule false_intro :premises (@p9)) % 47.20/48.41 (step @p37 :rule instantiate :premises (@p6) :args ((@list @t16 @t13))) % 47.20/48.41 (step @p38 :rule symm :premises (@p37)) % 47.20/48.41 (step @p39 :rule refl :args (@t13)) % 47.20/48.41 (step @p40 :rule instantiate :premises (@p6) :args ((@list @t15 @t14))) % 47.20/48.41 (step @p41 :rule symm :premises (@p40)) % 47.20/48.41 (step @p42 :rule cong :premises (@p41) :args (@t30)) % 47.20/48.41 (step @p43 :rule cong :premises (@p42 @p39) :args (@t31)) % 47.20/48.41 (step @p44 :rule trans :premises (@p43 @p38)) % 47.20/48.41 (step @p45 :rule cong :premises (@p44) :args (@t45)) % 47.20/48.41 (step @p46 :rule trans :premises (@p45 @p36)) % 47.20/48.41 (step @p47 :rule false_elim :premises (@p46)) % 47.20/48.41 (step @p48 :rule cnf_or_pos :args (@t49)) % 47.20/48.41 (step @p49 :rule reordering :premises (@p48) :args ((or @t45 @t48 @t46 (not @t49)))) % 47.20/48.41 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p35 @p24) :args (@t48 @t50 (@list @t45 @t44 @t49))) % 47.20/48.41 (step @p51 :rule cnf_or_pos :args (@t54)) % 47.20/48.41 (step @p52 :rule reordering :premises (@p51) :args ((or @t47 @t53 @t52 (not @t54)))) % 47.20/48.41 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p23 @p18) :args (@t52 @t50 (@list @t47 @t37 @t54))) % 47.20/48.41 (step @p54 :rule cnf_or_pos :args (@t58)) % 47.20/48.41 (step @p55 :rule reordering :premises (@p54) :args ((or @t51 @t57 @t56 (not @t58)))) % 47.20/48.41 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p17 @p12) :args (@t56 @t50 (@list @t51 @t26 @t58))) % 47.20/48.41 (step @p57 :rule instantiate :premises (@p7) :args ((@list @t17))) % 47.20/48.41 (step @p58 :rule instantiate :premises (@p2) :args ((@list tptp.q tptp.p))) % 47.20/48.41 (step @p59 :rule cnf_or_pos :args (@t62)) % 47.20/48.41 (step @p60 :rule reordering :premises (@p59) :args ((or @t60 @t61 (not @t62)))) % 47.20/48.41 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p57) :args (@t61 @t28 (@list @t59 @t62))) % 47.20/48.41 (step @p62 :rule cnf_or_pos :args (@t65)) % 47.20/48.41 (step @p63 :rule reordering :premises (@p62) :args ((or @t63 @t55 @t64 (not @t65)))) % 47.20/48.41 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p56 @p11) :args (@t64 (@list false true false) (@list @t61 @t55 @t65))) % 47.20/48.41 (step @p65 :rule false_intro :premises (@p64)) % 47.20/48.41 (step @p66 :rule instantiate :premises (@p6) :args ((@list @t19 @t12))) % 47.20/48.41 (step @p67 :rule symm :premises (@p66)) % 47.20/48.41 (step @p68 :rule instantiate :premises (@p6) :args ((@list tptp.q tptp.r))) % 47.20/48.41 (step @p69 :rule symm :premises (@p68)) % 47.20/48.41 (step @p70 :rule instantiate :premises (@p6) :args ((@list @t15 tptp.r))) % 47.20/48.41 (step @p71 :rule cong :premises (@p70) :args (@t67)) % 47.20/48.41 (step @p72 :rule cong :premises (@p71 @p69) :args (@t70)) % 47.20/48.41 (step @p73 :rule trans :premises (@p72 @p67)) % 47.20/48.41 (step @p74 :rule instantiate :premises (@p6) :args ((@list tptp.q @t15))) % 47.20/48.41 (step @p75 :rule symm :premises (@p74)) % 47.20/48.41 (step @p76 :rule cong :premises (@p75 @p73) :args (@t72)) % 47.20/48.41 (step @p77 :rule eq-symm :args (@t72 @t74)) % 47.20/48.41 (step @p78 :rule refl :args (@t10)) % 47.20/48.41 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t10 @t75))) % 47.20/48.41 (assume-push @p118 @t10) % 47.20/48.41 (step @p81 :rule instantiate :premises (@p6) :args ((@list @t71 @t70))) % 47.20/48.41 (step-pop @p119 :rule scope :premises (@p81)) % 47.20/48.41 (step @p82 :rule process_scope :premises (@p119) :args (@t75)) % 47.20/48.42 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 47.20/48.42 (step @p85 :rule implies_elim :premises (@p84)) % 47.20/48.42 (step @p86 :rule chain_m_resolution :premises (@p85 @p6) :args ((= @t74 @t72) (@list false) (@list @t10))) % 47.20/48.42 (step @p87 :rule trans :premises (@p86 @p76)) % 47.20/48.42 (step @p88 :rule cong :premises (@p87) :args (@t76)) % 47.20/48.42 (step @p89 :rule instantiate :premises (@p8) :args ((@list @t74 @t77))) % 47.20/48.42 (step @p90 :rule instantiate :premises (@p7) :args ((@list @t79))) % 47.20/48.42 (step @p91 :rule instantiate :premises (@p5) :args ((@list @t15 tptp.r @t68))) % 47.20/48.42 (step @p92 :rule cnf_or_pos :args (@t83)) % 47.20/48.42 (step @p93 :rule reordering :premises (@p92) :args ((or @t81 @t82 (not @t83)))) % 47.20/48.42 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90) :args (@t82 @t28 (@list @t80 @t83))) % 47.20/48.42 (step @p95 :rule true_intro :premises (@p94)) % 47.20/48.42 (step @p96 :rule instantiate :premises (@p6) :args ((@list @t66 @t78))) % 47.20/48.42 (step @p97 :rule symm :premises (@p96)) % 47.20/48.42 (step @p98 :rule instantiate :premises (@p6) :args ((@list @t71 @t69))) % 47.20/48.42 (step @p99 :rule symm :premises (@p98)) % 47.20/48.42 (step @p100 :rule refl :args (@t67)) % 47.20/48.42 (step @p101 :rule cong :premises (@p100 @p99) :args (@t77)) % 47.20/48.42 (step @p102 :rule trans :premises (@p101 @p97)) % 47.20/48.42 (step @p103 :rule cong :premises (@p102) :args (@t84)) % 47.20/48.42 (step @p104 :rule trans :premises (@p103 @p95)) % 47.20/48.42 (step @p105 :rule true_elim :premises (@p104)) % 47.20/48.42 (step @p106 :rule instantiate :premises (@p7) :args ((@list @t85))) % 47.20/48.42 (step @p107 :rule instantiate :premises (@p4) :args ((@list @t67 @t73 @t69))) % 47.20/48.42 (step @p108 :rule cnf_or_pos :args (@t89)) % 47.20/48.42 (step @p109 :rule reordering :premises (@p108) :args ((or @t87 @t88 (not @t89)))) % 47.20/48.42 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p106) :args (@t88 @t28 (@list @t86 @t89))) % 47.20/48.42 (step @p111 :rule cnf_or_pos :args (@t92)) % 47.20/48.42 (step @p112 :rule reordering :premises (@p111) :args ((or @t76 @t91 @t90 (not @t92)))) % 47.20/48.42 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p105 @p89) :args (@t76 (@list false false false) (@list @t88 @t84 @t92))) % 47.20/48.42 (step @p114 :rule true_intro :premises (@p113)) % 47.20/48.42 (step @p115 :rule symm :premises (@p114)) % 47.20/48.42 (step @p116 :rule trans :premises (@p115 @p88 @p65)) % 47.20/48.42 (step @p117 false :rule eq_resolve :premises (@p116 @p10)) % 47.20/48.42 ) % 47.20/48.44 % SZS output end Proof % 47.20/48.44 % cvc5 exiting %------------------------------------------------------------------------------