%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT138-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:29:48 AM UTC 2026 % Result : Unsatisfiable 17.42s 17.69s % Output : Proof 17.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT138-1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 05:52:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.73/16.01 --- Run --no-e-matching --full-saturate-quant at 6... % 17.42/17.69 % SZS status Unsatisfiable % 17.42/17.69 % SZS output start Proof % 17.42/17.69 ( % 17.42/17.69 (declare-sort $$unsorted 0) % 17.42/17.69 (declare-const tptp.c $$unsorted) % 17.42/17.69 (declare-const tptp.a $$unsorted) % 17.42/17.69 (declare-const tptp.b $$unsorted) % 17.42/17.69 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 17.42/17.69 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 17.42/17.69 (define @t1 () (@var "X" $$unsorted)) % 17.42/17.69 (define @t2 () (@list @t1)) % 17.42/17.69 (define @t3 () (tptp.join @t1 @t1)) % 17.42/17.69 (define @t4 () (forall @t2 (= @t3 @t1))) % 17.42/17.69 (define @t5 () (@var "Y" $$unsorted)) % 17.42/17.69 (define @t6 () (tptp.join @t1 @t5)) % 17.42/17.69 (define @t7 () (tptp.meet @t1 @t6)) % 17.42/17.69 (define @t8 () (@list @t1 @t5)) % 17.42/17.69 (define @t9 () (forall @t8 (= @t7 @t1))) % 17.42/17.69 (define @t10 () (tptp.meet @t1 @t5)) % 17.42/17.69 (define @t11 () (tptp.join @t1 @t10)) % 17.42/17.69 (define @t12 () (forall @t8 (= @t11 @t1))) % 17.42/17.69 (define @t13 () (@var "Z" $$unsorted)) % 17.42/17.69 (define @t14 () (@list @t1 @t5 @t13)) % 17.42/17.69 (define @t15 () (forall @t14 (= (tptp.meet @t10 @t13) (tptp.meet @t1 (tptp.meet @t5 @t13))))) % 17.42/17.69 (define @t16 () (tptp.join tptp.a tptp.b)) % 17.42/17.69 (define @t17 () (tptp.meet tptp.c @t16)) % 17.42/17.69 (define @t18 () (tptp.meet tptp.a tptp.c)) % 17.42/17.69 (define @t19 () (tptp.join tptp.b @t18)) % 17.42/17.69 (define @t20 () (tptp.meet tptp.a @t19)) % 17.42/17.69 (define @t21 () (tptp.join @t20 @t17)) % 17.42/17.69 (define @t22 () (tptp.meet tptp.a @t21)) % 17.42/17.69 (define @t23 () (tptp.join @t22 tptp.b)) % 17.42/17.69 (define @t24 () (tptp.meet tptp.a @t23)) % 17.42/17.69 (define @t25 () (tptp.meet @t21 @t24)) % 17.42/17.69 (define @t26 () (tptp.meet (tptp.meet @t21 tptp.a) @t23)) % 17.42/17.69 (define @t27 () (= @t26 @t25)) % 17.42/17.69 (define @t28 () (= @t25 @t26)) % 17.42/17.69 (define @t29 () (@list @t20 @t21)) % 17.42/17.69 (define @t30 () (tptp.join @t18 tptp.b)) % 17.42/17.69 (define @t31 () (@list tptp.a tptp.c)) % 17.42/17.69 (define @t32 () (tptp.join @t18 @t21)) % 17.42/17.69 (define @t33 () (tptp.meet tptp.c tptp.a)) % 17.42/17.69 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 17.42/17.69 (assume @p2 @t4) % 17.42/17.69 (assume @p3 @t9) % 17.42/17.69 (assume @p4 @t12) % 17.42/17.69 (assume @p5 (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 17.42/17.69 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 17.42/17.69 (assume @p7 @t15) % 17.42/17.69 (assume @p8 (forall @t14 (= (tptp.join @t6 @t13) (tptp.join @t1 (tptp.join @t5 @t13))))) % 17.42/17.69 (assume @p9 (forall @t14 (= (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t1 @t13))) (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t1 (tptp.join @t10 (tptp.meet @t13 @t6)))))))) % 17.42/17.69 (assume @p10 (not (= @t20 @t22))) % 17.42/17.69 (step @p11 :rule bool-eq-false :args (@t27)) % 17.42/17.69 (step @p12 :rule symm :premises (@p11)) % 17.42/17.69 (step @p13 :rule eq-symm :args (@t25 @t26)) % 17.42/17.69 (step @p14 :rule cong :premises (@p13) :args ((not @t28))) % 17.42/17.69 (step @p15 :rule bool-eq-false :args (@t28)) % 17.42/17.69 (step @p16 :rule trans :premises (@p15 @p14)) % 17.42/17.69 (step @p17 :rule trans :premises (@p16 @p12)) % 17.42/17.69 (step @p18 :rule false_intro :premises (@p10)) % 17.42/17.69 (step @p19 :rule eq-symm :args (@t7 @t1)) % 17.42/17.69 (step @p20 :rule cong :premises (@p19) :args (@t9)) % 17.42/17.69 (step @p21 :rule eq_resolve :premises (@p3 @p20)) % 17.42/17.69 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t22 tptp.b))) % 17.42/17.69 (step @p23 :rule symm :premises (@p22)) % 17.42/17.69 (step @p24 :rule refl :args (@t23)) % 17.42/17.69 (step @p25 :rule instantiate :premises (@p5) :args ((@list tptp.a @t21))) % 17.42/17.69 (step @p26 :rule symm :premises (@p25)) % 17.42/17.69 (step @p27 :rule cong :premises (@p26 @p24) :args (@t26)) % 17.42/17.69 (step @p28 :rule trans :premises (@p27 @p23)) % 17.42/17.69 (step @p29 :rule instantiate :premises (@p21) :args (@t29)) % 17.42/17.69 (step @p30 :rule symm :premises (@p29)) % 17.42/17.69 (step @p31 :rule instantiate :premises (@p8) :args ((@list @t20 @t20 @t17))) % 17.42/17.69 (step @p32 :rule refl :args (@t17)) % 17.42/17.69 (step @p33 :rule eq-symm :args (@t3 @t1)) % 17.42/17.69 (step @p34 :rule cong :premises (@p33) :args (@t4)) % 17.42/17.69 (step @p35 :rule eq_resolve :premises (@p2 @p34)) % 17.42/17.69 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t20))) % 17.42/17.69 (step @p37 :rule cong :premises (@p36 @p32) :args (@t21)) % 17.42/17.69 (step @p38 :rule trans :premises (@p37 @p31)) % 17.42/17.69 (step @p39 :rule refl :args (@t20)) % 17.42/17.69 (step @p40 :rule cong :premises (@p39 @p38) :args ((tptp.meet @t20 @t21))) % 17.42/17.69 (step @p41 :rule instantiate :premises (@p5) :args (@t29)) % 17.42/17.69 (step @p42 :rule symm :premises (@p41)) % 17.42/17.69 (step @p43 :rule instantiate :premises (@p6) :args ((@list tptp.b @t18))) % 17.42/17.69 (step @p44 :rule symm :premises (@p43)) % 17.42/17.69 (step @p45 :rule refl :args (tptp.b)) % 17.42/17.69 (step @p46 :rule instantiate :premises (@p35) :args ((@list @t18))) % 17.42/17.69 (step @p47 :rule symm :premises (@p46)) % 17.42/17.69 (step @p48 :rule cong :premises (@p47 @p45) :args ((tptp.join (tptp.join @t18 @t18) tptp.b))) % 17.42/17.69 (step @p49 :rule instantiate :premises (@p8) :args ((@list @t18 @t18 tptp.b))) % 17.42/17.69 (step @p50 :rule symm :premises (@p49)) % 17.42/17.69 (step @p51 :rule refl :args (@t18)) % 17.42/17.69 (step @p52 :rule cong :premises (@p51 @p43) :args ((tptp.join @t18 @t19))) % 17.42/17.69 (step @p53 :rule instantiate :premises (@p6) :args ((@list @t18 @t19))) % 17.42/17.69 (step @p54 :rule symm :premises (@p53)) % 17.42/17.69 (step @p55 :rule trans :premises (@p54 @p52 @p50 @p48 @p44)) % 17.42/17.69 (step @p56 :rule refl :args (tptp.a)) % 17.42/17.69 (step @p57 :rule cong :premises (@p56 @p55) :args ((tptp.meet tptp.a (tptp.join @t19 @t18)))) % 17.42/17.69 (step @p58 :rule instantiate :premises (@p9) :args ((@list tptp.a @t19 tptp.c))) % 17.42/17.69 (step @p59 :rule symm :premises (@p58)) % 17.42/17.69 (step @p60 :rule cong :premises (@p56 @p44) :args ((tptp.join tptp.a @t30))) % 17.42/17.69 (step @p61 :rule instantiate :premises (@p8) :args ((@list tptp.a @t18 tptp.b))) % 17.42/17.69 (step @p62 :rule eq-symm :args (@t11 @t1)) % 17.42/17.69 (step @p63 :rule cong :premises (@p62) :args (@t12)) % 17.42/17.69 (step @p64 :rule eq_resolve :premises (@p4 @p63)) % 17.42/17.69 (step @p65 :rule instantiate :premises (@p64) :args (@t31)) % 17.42/17.69 (step @p66 :rule cong :premises (@p65 @p45) :args (@t16)) % 17.42/17.69 (step @p67 :rule trans :premises (@p66 @p61 @p60)) % 17.42/17.69 (step @p68 :rule refl :args (tptp.c)) % 17.42/17.69 (step @p69 :rule cong :premises (@p68 @p67) :args (@t17)) % 17.42/17.69 (step @p70 :rule cong :premises (@p39 @p69) :args (@t21)) % 17.42/17.69 (step @p71 :rule cong :premises (@p56 @p70) :args (@t22)) % 17.42/17.69 (step @p72 :rule refl :args (@t19)) % 17.42/17.69 (step @p73 :rule cong :premises (@p72 @p71) :args ((tptp.join @t19 @t22))) % 17.42/17.69 (step @p74 :rule instantiate :premises (@p6) :args ((@list @t19 @t22))) % 17.42/17.69 (step @p75 :rule symm :premises (@p74)) % 17.42/17.69 (step @p76 :rule refl :args (@t22)) % 17.42/17.69 (step @p77 :rule cong :premises (@p76 @p44) :args ((tptp.join @t22 @t30))) % 17.42/17.69 (step @p78 :rule instantiate :premises (@p8) :args ((@list @t22 @t18 tptp.b))) % 17.42/17.69 (step @p79 :rule instantiate :premises (@p21) :args ((@list @t18 @t21))) % 17.42/17.69 (step @p80 :rule symm :premises (@p79)) % 17.42/17.69 (step @p81 :rule refl :args (@t32)) % 17.42/17.69 (step @p82 :rule instantiate :premises (@p5) :args (@t31)) % 17.42/17.69 (step @p83 :rule symm :premises (@p82)) % 17.42/17.69 (step @p84 :rule cong :premises (@p83 @p81) :args ((tptp.meet @t33 @t32))) % 17.42/17.69 (step @p85 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.a @t32))) % 17.42/17.69 (step @p86 :rule symm :premises (@p85)) % 17.42/17.69 (step @p87 :rule instantiate :premises (@p8) :args ((@list @t18 @t20 @t17))) % 17.42/17.69 (step @p88 :rule instantiate :premises (@p6) :args ((@list @t18 @t20))) % 17.42/17.69 (step @p89 :rule symm :premises (@p88)) % 17.42/17.69 (step @p90 :rule instantiate :premises (@p21) :args ((@list @t18 tptp.b))) % 17.42/17.69 (step @p91 :rule symm :premises (@p90)) % 17.42/17.69 (step @p92 :rule refl :args (@t30)) % 17.42/17.69 (step @p93 :rule cong :premises (@p83 @p92) :args ((tptp.meet @t33 @t30))) % 17.42/17.69 (step @p94 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.a @t30))) % 17.42/17.69 (step @p95 :rule symm :premises (@p94)) % 17.42/17.69 (step @p96 :rule cong :premises (@p56 @p43) :args (@t20)) % 17.42/17.69 (step @p97 :rule cong :premises (@p68 @p96) :args ((tptp.meet tptp.c @t20))) % 17.42/17.69 (step @p98 :rule instantiate :premises (@p5) :args ((@list tptp.c @t20))) % 17.42/17.69 (step @p99 :rule symm :premises (@p98)) % 17.42/17.69 (step @p100 :rule trans :premises (@p99 @p97 @p95 @p93 @p91)) % 17.42/17.69 (step @p101 :rule cong :premises (@p39 @p100) :args ((tptp.join @t20 (tptp.meet @t20 tptp.c)))) % 17.42/17.69 (step @p102 :rule instantiate :premises (@p64) :args ((@list @t20 tptp.c))) % 17.42/17.69 (step @p103 :rule trans :premises (@p102 @p101 @p89)) % 17.42/17.69 (step @p104 :rule cong :premises (@p103 @p32) :args (@t21)) % 17.42/17.69 (step @p105 :rule trans :premises (@p104 @p87)) % 17.42/17.69 (step @p106 :rule cong :premises (@p56 @p105) :args (@t22)) % 17.42/17.69 (step @p107 :rule cong :premises (@p68 @p106) :args ((tptp.meet tptp.c @t22))) % 17.42/17.69 (step @p108 :rule instantiate :premises (@p5) :args ((@list tptp.c @t22))) % 17.42/17.69 (step @p109 :rule symm :premises (@p108)) % 17.42/17.69 (step @p110 :rule trans :premises (@p109 @p107 @p86 @p84 @p80)) % 17.42/17.69 (step @p111 :rule cong :premises (@p76 @p110) :args ((tptp.join @t22 (tptp.meet @t22 tptp.c)))) % 17.42/17.69 (step @p112 :rule instantiate :premises (@p64) :args ((@list @t22 tptp.c))) % 17.42/17.69 (step @p113 :rule trans :premises (@p112 @p111)) % 17.42/17.69 (step @p114 :rule cong :premises (@p113 @p45) :args (@t23)) % 17.42/17.69 (step @p115 :rule trans :premises (@p114 @p78 @p77 @p75 @p73)) % 17.42/17.69 (step @p116 :rule cong :premises (@p56 @p115) :args (@t24)) % 17.42/17.69 (step @p117 :rule trans :premises (@p116 @p59 @p57)) % 17.42/17.69 (step @p118 :rule refl :args (@t21)) % 17.42/17.69 (step @p119 :rule cong :premises (@p118 @p117) :args (@t25)) % 17.42/17.69 (step @p120 :rule trans :premises (@p119 @p42 @p40 @p30)) % 17.42/17.69 (step @p121 :rule cong :premises (@p120 @p28) :args (@t28)) % 17.42/17.69 (step @p122 :rule trans :premises (@p121 @p18)) % 17.42/17.69 (step @p123 :rule eq_resolve :premises (@p122 @p17)) % 17.42/17.69 (step @p124 :rule false_elim :premises (@p123)) % 17.42/17.69 (assume-push @p131 @t15) % 17.42/17.69 (step @p126 :rule instantiate :premises (@p7) :args ((@list @t21 tptp.a @t23))) % 17.42/17.69 (step-pop @p132 :rule scope :premises (@p126)) % 17.42/17.69 (step @p127 :rule process_scope :premises (@p132) :args (@t27)) % 17.42/17.69 (step @p129 :rule implies_elim :premises (@p127)) % 17.42/17.69 (step @p130 false :rule chain_m_resolution :premises (@p129 @p124 @p7) :args (false (@list true false) (@list @t27 @t15))) % 17.42/17.69 ) % 17.42/17.69 % SZS output end Proof % 17.42/17.70 % cvc5 exiting %------------------------------------------------------------------------------