%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT014-1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:29:37 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT014-1 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:42:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.b $$unsorted) % 0.38/0.56 (declare-const tptp.a $$unsorted) % 0.38/0.56 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t3 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t4 () (tptp.join @t1 (tptp.meet @t3 (tptp.meet @t1 @t2)))) % 0.38/0.56 (define @t5 () (@list @t1 @t3 @t2)) % 0.38/0.56 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.38/0.56 (define @t7 () (tptp.meet @t1 (tptp.join @t3 (tptp.join @t1 @t2)))) % 0.38/0.56 (define @t8 () (forall @t5 (= @t7 @t1))) % 0.38/0.56 (define @t9 () (tptp.join (tptp.join (tptp.meet @t1 @t3) (tptp.meet @t3 @t2)) @t3)) % 0.38/0.56 (define @t10 () (forall @t5 (= @t9 @t3))) % 0.38/0.56 (define @t11 () (tptp.meet (tptp.meet (tptp.join @t1 @t3) (tptp.join @t3 @t2)) @t3)) % 0.38/0.56 (define @t12 () (forall @t5 (= @t11 @t3))) % 0.38/0.56 (define @t13 () (tptp.join tptp.a tptp.b)) % 0.38/0.56 (define @t14 () (tptp.meet tptp.a @t13)) % 0.38/0.56 (define @t15 () (@list tptp.a tptp.a tptp.a)) % 0.38/0.56 (define @t16 () (tptp.meet tptp.a tptp.a)) % 0.38/0.56 (define @t17 () (tptp.join tptp.a tptp.a)) % 0.38/0.56 (define @t18 () (tptp.meet @t17 @t17)) % 0.38/0.56 (define @t19 () (tptp.join @t16 @t16)) % 0.38/0.56 (define @t20 () (tptp.join @t19 tptp.a)) % 0.38/0.56 (define @t21 () (tptp.meet @t20 @t13)) % 0.38/0.56 (define @t22 () (tptp.meet tptp.a @t16)) % 0.38/0.56 (define @t23 () (tptp.join @t16 @t14)) % 0.38/0.56 (define @t24 () (tptp.join tptp.a @t22)) % 0.38/0.56 (define @t25 () (tptp.join @t21 @t24)) % 0.38/0.56 (define @t26 () (= tptp.a @t24)) % 0.38/0.56 (define @t27 () (tptp.join tptp.a @t17)) % 0.38/0.56 (define @t28 () (tptp.meet tptp.a @t27)) % 0.38/0.56 (define @t29 () (= tptp.a @t28)) % 0.38/0.56 (define @t30 () (= tptp.a @t20)) % 0.38/0.56 (define @t31 () (tptp.meet @t18 tptp.a)) % 0.38/0.56 (define @t32 () (= tptp.a @t31)) % 0.38/0.56 (define @t33 () (= tptp.a (tptp.join (tptp.join @t31 @t22) tptp.a))) % 0.38/0.56 (define @t34 () (tptp.meet @t21 tptp.a)) % 0.38/0.56 (define @t35 () (= tptp.a @t34)) % 0.38/0.56 (define @t36 () (= @t21 (tptp.join @t21 (tptp.meet tptp.a @t34)))) % 0.38/0.56 (define @t37 () (tptp.meet tptp.a @t25)) % 0.38/0.56 (define @t38 () (= tptp.a @t37)) % 0.38/0.56 (define @t39 () (tptp.join @t23 tptp.a)) % 0.38/0.56 (define @t40 () (= tptp.a @t39)) % 0.38/0.56 (define @t41 () (= @t23 (tptp.meet @t23 (tptp.join tptp.a @t39)))) % 0.38/0.56 (define @t42 () (= @t25 (tptp.join (tptp.join @t37 (tptp.meet @t25 tptp.a)) @t25))) % 0.38/0.56 (define @t43 () (tptp.meet @t21 @t34)) % 0.38/0.56 (define @t44 () (tptp.join @t23 @t39)) % 0.38/0.56 (define @t45 () (= tptp.a @t14)) % 0.38/0.56 (define @t46 () (and @t26 @t29 @t30 @t32 @t33 @t35 @t36 @t38 @t40 @t41 @t42)) % 0.38/0.56 (assume @p1 @t6) % 0.38/0.56 (assume @p2 @t8) % 0.38/0.56 (assume @p3 @t10) % 0.38/0.56 (assume @p4 @t12) % 0.38/0.56 (assume @p5 (not (= @t14 tptp.a))) % 0.38/0.56 (step @p6 :rule symm :premises (@p5)) % 0.38/0.56 (step @p7 :rule eq-symm :args (@t4 @t1)) % 0.38/0.56 (step @p8 :rule cong :premises (@p7) :args (@t6)) % 0.38/0.56 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 0.38/0.56 (step @p10 :rule instantiate :premises (@p9) :args (@t15)) % 0.38/0.56 (step @p11 :rule eq-symm :args (@t7 @t1)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11) :args (@t8)) % 0.38/0.56 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 0.38/0.56 (step @p14 :rule instantiate :premises (@p13) :args (@t15)) % 0.38/0.56 (step @p15 :rule eq-symm :args (@t9 @t3)) % 0.38/0.56 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.38/0.56 (step @p17 :rule eq_resolve :premises (@p3 @p16)) % 0.38/0.56 (step @p18 :rule instantiate :premises (@p17) :args (@t15)) % 0.38/0.56 (step @p19 :rule eq-symm :args (@t11 @t3)) % 0.38/0.56 (step @p20 :rule cong :premises (@p19) :args (@t12)) % 0.38/0.56 (step @p21 :rule eq_resolve :premises (@p4 @p20)) % 0.38/0.56 (step @p22 :rule instantiate :premises (@p21) :args (@t15)) % 0.38/0.56 (step @p23 :rule instantiate :premises (@p17) :args ((@list @t18 tptp.a @t16))) % 0.38/0.56 (step @p24 :rule instantiate :premises (@p21) :args ((@list @t19 tptp.a tptp.b))) % 0.38/0.56 (step @p25 :rule instantiate :premises (@p9) :args ((@list @t21 tptp.a tptp.a))) % 0.38/0.56 (step @p26 :rule instantiate :premises (@p13) :args ((@list tptp.a @t21 @t22))) % 0.38/0.56 (step @p27 :rule instantiate :premises (@p17) :args ((@list tptp.a tptp.a @t13))) % 0.38/0.56 (step @p28 :rule instantiate :premises (@p13) :args ((@list @t23 tptp.a tptp.a))) % 0.38/0.56 (step @p29 :rule instantiate :premises (@p17) :args ((@list tptp.a @t25 tptp.a))) % 0.38/0.56 (assume-push @p114 @t26) % 0.38/0.56 (assume-push @p115 @t29) % 0.38/0.56 (assume-push @p116 @t30) % 0.38/0.56 (assume-push @p117 @t32) % 0.38/0.56 (assume-push @p118 @t33) % 0.38/0.56 (assume-push @p119 @t35) % 0.38/0.56 (assume-push @p120 @t36) % 0.38/0.56 (assume-push @p121 @t38) % 0.38/0.56 (assume-push @p122 @t40) % 0.38/0.56 (assume-push @p123 @t41) % 0.38/0.56 (assume-push @p124 @t42) % 0.38/0.56 (step @p41 :rule refl :args (@t13)) % 0.38/0.56 (step @p42 :rule symm :premises (@p18)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args (@t21)) % 0.38/0.56 (step @p44 :rule symm :premises (@p25)) % 0.38/0.56 (step @p45 :rule refl :args (tptp.a)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45 @p24) :args (@t16)) % 0.38/0.56 (step @p47 :rule symm :premises (@p23)) % 0.38/0.56 (step @p48 :rule refl :args (@t22)) % 0.38/0.56 (step @p49 :rule cong :premises (@p22 @p48) :args (@t24)) % 0.38/0.56 (step @p50 :rule trans :premises (@p10 @p49)) % 0.38/0.56 (step @p51 :rule cong :premises (@p50 @p45) :args (@t17)) % 0.38/0.56 (step @p52 :rule trans :premises (@p51 @p47)) % 0.38/0.56 (step @p53 :rule cong :premises (@p45 @p52) :args (@t27)) % 0.38/0.56 (step @p54 :rule trans :premises (@p53 @p51 @p47)) % 0.38/0.56 (step @p55 :rule cong :premises (@p42 @p54) :args ((tptp.meet @t20 @t27))) % 0.38/0.56 (step @p56 :rule refl :args (@t27)) % 0.38/0.56 (step @p57 :rule cong :premises (@p18 @p56) :args (@t28)) % 0.38/0.56 (step @p58 :rule symm :premises (@p24)) % 0.38/0.56 (step @p59 :rule refl :args (@t21)) % 0.38/0.56 (step @p60 :rule cong :premises (@p59 @p58) :args (@t43)) % 0.38/0.56 (step @p61 :rule trans :premises (@p60 @p58 @p14 @p57 @p55 @p46)) % 0.38/0.56 (step @p62 :rule cong :premises (@p59 @p61) :args ((tptp.join @t21 @t43))) % 0.38/0.56 (step @p63 :rule symm :premises (@p60)) % 0.38/0.56 (step @p64 :rule symm :premises (@p10)) % 0.38/0.56 (step @p65 :rule trans :premises (@p64 @p24 @p63)) % 0.38/0.56 (step @p66 :rule cong :premises (@p59 @p65) :args (@t25)) % 0.38/0.56 (step @p67 :rule symm :premises (@p29)) % 0.38/0.56 (step @p68 :rule symm :premises (@p66)) % 0.38/0.56 (step @p69 :rule symm :premises (@p62)) % 0.38/0.56 (step @p70 :rule symm :premises (@p43)) % 0.38/0.56 (step @p71 :rule trans :premises (@p70 @p25 @p69 @p68)) % 0.38/0.56 (step @p72 :rule trans :premises (@p25 @p69 @p68)) % 0.38/0.56 (step @p73 :rule cong :premises (@p72 @p58) :args (@t43)) % 0.38/0.56 (step @p74 :rule trans :premises (@p24 @p63 @p73)) % 0.38/0.56 (step @p75 :rule cong :premises (@p26 @p74) :args (@t17)) % 0.38/0.56 (step @p76 :rule symm :premises (@p51)) % 0.38/0.56 (step @p77 :rule trans :premises (@p23 @p76 @p75)) % 0.38/0.56 (step @p78 :rule symm :premises (@p14)) % 0.38/0.56 (step @p79 :rule symm :premises (@p57)) % 0.38/0.56 (step @p80 :rule symm :premises (@p55)) % 0.38/0.56 (step @p81 :rule trans :premises (@p80 @p79 @p78)) % 0.38/0.56 (step @p82 :rule trans :premises (@p81 @p77)) % 0.38/0.56 (step @p83 :rule cong :premises (@p82 @p71) :args (@t23)) % 0.38/0.56 (step @p84 :rule symm :premises (@p28)) % 0.38/0.56 (step @p85 :rule cong :premises (@p45 @p27) :args (@t17)) % 0.38/0.56 (step @p86 :rule symm :premises (@p27)) % 0.38/0.56 (step @p87 :rule refl :args (@t23)) % 0.38/0.56 (step @p88 :rule cong :premises (@p87 @p86) :args (@t44)) % 0.38/0.56 (step @p89 :rule trans :premises (@p88 @p86 @p23 @p76 @p85)) % 0.38/0.56 (step @p90 :rule cong :premises (@p87 @p89) :args ((tptp.meet @t23 @t44))) % 0.38/0.56 (step @p91 :rule symm :premises (@p88)) % 0.38/0.56 (step @p92 :rule trans :premises (@p58 @p27 @p91)) % 0.38/0.56 (step @p93 :rule symm :premises (@p83)) % 0.38/0.56 (step @p94 :rule trans :premises (@p25 @p69 @p68 @p29 @p93)) % 0.38/0.56 (step @p95 :rule cong :premises (@p94 @p92) :args (@t43)) % 0.38/0.56 (step @p96 :rule trans :premises (@p24 @p63 @p95 @p90 @p84 @p83 @p67 @p66 @p62 @p44 @p43)) % 0.38/0.56 (step-pop @p125 :rule scope :premises (@p96)) % 0.38/0.56 (step-pop @p126 :rule scope :premises (@p125)) % 0.38/0.56 (step-pop @p127 :rule scope :premises (@p126)) % 0.38/0.56 (step-pop @p128 :rule scope :premises (@p127)) % 0.38/0.56 (step-pop @p129 :rule scope :premises (@p128)) % 0.38/0.56 (step-pop @p130 :rule scope :premises (@p129)) % 0.38/0.56 (step-pop @p131 :rule scope :premises (@p130)) % 0.38/0.56 (step-pop @p132 :rule scope :premises (@p131)) % 0.38/0.56 (step-pop @p133 :rule scope :premises (@p132)) % 0.38/0.56 (step-pop @p134 :rule scope :premises (@p133)) % 0.38/0.56 (step-pop @p135 :rule scope :premises (@p134)) % 0.38/0.56 (step @p97 :rule process_scope :premises (@p135) :args (@t45)) % 0.38/0.56 (step @p109 :rule implies_elim :premises (@p97)) % 0.38/0.56 (step @p110 :rule cnf_and_neg :args (@t46)) % 0.38/0.56 (step @p111 :rule resolution :premises (@p110 @p109) :args (true @t46)) % 0.38/0.56 (step @p112 :rule reordering :premises (@p111) :args ((or @t45 (not @t26) (not @t29) (not @t30) (not @t32) (not @t33) (not @t35) (not @t36) (not @t38) (not @t40) (not @t41) (not @t42)))) % 0.38/0.56 (step @p113 false :rule chain_m_resolution :premises (@p112 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p18 @p14 @p10 @p6) :args (false (@list false false false false false false false false false false false true) (@list @t42 @t41 @t40 @t38 @t36 @t35 @t33 @t32 @t30 @t29 @t26 @t45))) % 0.38/0.56 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------