%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT148-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:29:49 AM UTC 2026 % Result : Unsatisfiable 18.62s 18.82s % Output : Proof 18.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT148-1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 05:54:25 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... % 15.33/15.59 --- Run --no-e-matching --full-saturate-quant at 6... % 18.62/18.82 % SZS status Unsatisfiable % 18.62/18.82 % SZS output start Proof % 18.62/18.83 ( % 18.62/18.83 (declare-sort $$unsorted 0) % 18.62/18.83 (declare-const tptp.c $$unsorted) % 18.62/18.83 (declare-const tptp.a $$unsorted) % 18.62/18.83 (declare-const tptp.b $$unsorted) % 18.62/18.83 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 18.62/18.83 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 18.62/18.83 (define @t1 () (@var "X" $$unsorted)) % 18.62/18.83 (define @t2 () (@list @t1)) % 18.62/18.83 (define @t3 () (@var "Y" $$unsorted)) % 18.62/18.83 (define @t4 () (tptp.join @t1 @t3)) % 18.62/18.83 (define @t5 () (tptp.meet @t1 @t4)) % 18.62/18.83 (define @t6 () (@list @t1 @t3)) % 18.62/18.83 (define @t7 () (forall @t6 (= @t5 @t1))) % 18.62/18.83 (define @t8 () (tptp.meet @t1 @t3)) % 18.62/18.83 (define @t9 () (tptp.join @t1 @t8)) % 18.62/18.83 (define @t10 () (forall @t6 (= @t9 @t1))) % 18.62/18.83 (define @t11 () (@var "Z" $$unsorted)) % 18.62/18.83 (define @t12 () (@list @t1 @t3 @t11)) % 18.62/18.83 (define @t13 () (tptp.join @t3 @t11)) % 18.62/18.83 (define @t14 () (@var "U" $$unsorted)) % 18.62/18.83 (define @t15 () (forall (@list @t1 @t3 @t11 @t14) (= (tptp.meet @t1 (tptp.join @t3 (tptp.meet @t11 @t14))) (tptp.meet @t1 (tptp.join @t3 (tptp.meet @t11 (tptp.join @t3 (tptp.meet @t14 @t13)))))))) % 18.62/18.83 (define @t16 () (tptp.join tptp.a tptp.b)) % 18.62/18.83 (define @t17 () (tptp.meet tptp.c @t16)) % 18.62/18.83 (define @t18 () (tptp.meet tptp.a tptp.b)) % 18.62/18.83 (define @t19 () (tptp.join @t18 @t17)) % 18.62/18.83 (define @t20 () (tptp.meet tptp.a (tptp.join tptp.b (tptp.meet tptp.a @t19)))) % 18.62/18.83 (define @t21 () (tptp.join tptp.b tptp.a)) % 18.62/18.83 (define @t22 () (tptp.meet @t19 @t21)) % 18.62/18.83 (define @t23 () (tptp.join tptp.b @t22)) % 18.62/18.83 (define @t24 () (tptp.meet tptp.a @t23)) % 18.62/18.83 (define @t25 () (tptp.join tptp.b @t24)) % 18.62/18.83 (define @t26 () (tptp.meet tptp.a @t25)) % 18.62/18.83 (define @t27 () (= @t20 @t26)) % 18.62/18.83 (define @t28 () (= @t26 @t20)) % 18.62/18.83 (define @t29 () (tptp.meet tptp.c @t21)) % 18.62/18.83 (define @t30 () (@list tptp.b tptp.a)) % 18.62/18.83 (define @t31 () (tptp.meet tptp.b tptp.a)) % 18.62/18.83 (define @t32 () (@list tptp.a tptp.b)) % 18.62/18.83 (define @t33 () (tptp.meet tptp.b @t16)) % 18.62/18.83 (define @t34 () (tptp.meet @t16 tptp.c)) % 18.62/18.83 (define @t35 () (tptp.meet @t16 @t18)) % 18.62/18.83 (define @t36 () (tptp.join @t35 @t34)) % 18.62/18.83 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 18.62/18.83 (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1))) % 18.62/18.83 (assume @p3 @t7) % 18.62/18.83 (assume @p4 @t10) % 18.62/18.83 (assume @p5 (forall @t6 (= @t8 (tptp.meet @t3 @t1)))) % 18.62/18.83 (assume @p6 (forall @t6 (= @t4 (tptp.join @t3 @t1)))) % 18.62/18.83 (assume @p7 (forall @t12 (= (tptp.meet @t8 @t11) (tptp.meet @t1 (tptp.meet @t3 @t11))))) % 18.62/18.83 (assume @p8 (forall @t12 (= (tptp.join @t4 @t11) (tptp.join @t1 @t13)))) % 18.62/18.83 (assume @p9 @t15) % 18.62/18.83 (assume @p10 (not (= (tptp.meet tptp.a (tptp.join tptp.b (tptp.meet tptp.a tptp.c))) @t20))) % 18.62/18.83 (step @p11 :rule bool-eq-false :args (@t27)) % 18.62/18.83 (step @p12 :rule symm :premises (@p11)) % 18.62/18.83 (step @p13 :rule eq-symm :args (@t26 @t20)) % 18.62/18.83 (step @p14 :rule cong :premises (@p13) :args ((not @t28))) % 18.62/18.83 (step @p15 :rule bool-eq-false :args (@t28)) % 18.62/18.83 (step @p16 :rule trans :premises (@p15 @p14)) % 18.62/18.83 (step @p17 :rule trans :premises (@p16 @p12)) % 18.62/18.83 (step @p18 :rule false_intro :premises (@p10)) % 18.62/18.83 (step @p19 :rule refl :args (@t20)) % 18.62/18.83 (step @p20 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.a tptp.c))) % 18.62/18.83 (step @p21 :rule symm :premises (@p20)) % 18.62/18.83 (step @p22 :rule refl :args (@t29)) % 18.62/18.83 (step @p23 :rule eq-symm :args (@t9 @t1)) % 18.62/18.83 (step @p24 :rule cong :premises (@p23) :args (@t10)) % 18.62/18.83 (step @p25 :rule eq_resolve :premises (@p4 @p24)) % 18.62/18.83 (step @p26 :rule instantiate :premises (@p25) :args (@t30)) % 18.62/18.83 (step @p27 :rule symm :premises (@p26)) % 18.62/18.83 (step @p28 :rule cong :premises (@p27 @p22) :args ((tptp.join (tptp.join tptp.b @t31) @t29))) % 18.62/18.83 (step @p29 :rule instantiate :premises (@p8) :args ((@list tptp.b @t31 @t29))) % 18.62/18.83 (step @p30 :rule symm :premises (@p29)) % 18.62/18.83 (step @p31 :rule instantiate :premises (@p6) :args (@t32)) % 18.62/18.83 (step @p32 :rule refl :args (tptp.c)) % 18.62/18.83 (step @p33 :rule cong :premises (@p32 @p31) :args (@t17)) % 18.62/18.83 (step @p34 :rule instantiate :premises (@p5) :args (@t32)) % 18.62/18.83 (step @p35 :rule cong :premises (@p34 @p33) :args (@t19)) % 18.62/18.83 (step @p36 :rule refl :args (tptp.b)) % 18.62/18.83 (step @p37 :rule cong :premises (@p36 @p35) :args ((tptp.join tptp.b @t19))) % 18.62/18.83 (step @p38 :rule eq-symm :args (@t5 @t1)) % 18.62/18.83 (step @p39 :rule cong :premises (@p38) :args (@t7)) % 18.62/18.83 (step @p40 :rule eq_resolve :premises (@p3 @p39)) % 18.62/18.83 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t19 @t16))) % 18.62/18.83 (step @p42 :rule symm :premises (@p41)) % 18.62/18.83 (step @p43 :rule instantiate :premises (@p6) :args ((@list @t16 @t19))) % 18.62/18.83 (step @p44 :rule instantiate :premises (@p5) :args ((@list tptp.c @t16))) % 18.62/18.83 (step @p45 :rule symm :premises (@p44)) % 18.62/18.83 (step @p46 :rule instantiate :premises (@p40) :args (@t30)) % 18.62/18.83 (step @p47 :rule symm :premises (@p46)) % 18.62/18.83 (step @p48 :rule cong :premises (@p36 @p31) :args (@t33)) % 18.62/18.83 (step @p49 :rule trans :premises (@p48 @p47)) % 18.62/18.83 (step @p50 :rule refl :args (tptp.a)) % 18.62/18.83 (step @p51 :rule cong :premises (@p50 @p49) :args ((tptp.meet tptp.a @t33))) % 18.62/18.83 (step @p52 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t16))) % 18.62/18.83 (step @p53 :rule instantiate :premises (@p5) :args ((@list @t18 @t16))) % 18.62/18.83 (step @p54 :rule symm :premises (@p53)) % 18.62/18.83 (step @p55 :rule trans :premises (@p54 @p52 @p51)) % 18.62/18.83 (step @p56 :rule cong :premises (@p55 @p45) :args (@t36)) % 18.62/18.83 (step @p57 :rule refl :args (@t16)) % 18.62/18.83 (step @p58 :rule cong :premises (@p57 @p56) :args ((tptp.join @t16 @t36))) % 18.62/18.83 (step @p59 :rule instantiate :premises (@p8) :args ((@list @t16 @t35 @t34))) % 18.62/18.83 (step @p60 :rule refl :args (@t34)) % 18.62/18.83 (step @p61 :rule instantiate :premises (@p25) :args ((@list @t16 @t18))) % 18.62/18.83 (step @p62 :rule cong :premises (@p61 @p60) :args ((tptp.join @t16 @t34))) % 18.62/18.83 (step @p63 :rule instantiate :premises (@p25) :args ((@list @t16 tptp.c))) % 18.62/18.83 (step @p64 :rule trans :premises (@p63 @p62 @p59 @p58 @p43)) % 18.62/18.83 (step @p65 :rule refl :args (@t19)) % 18.62/18.83 (step @p66 :rule cong :premises (@p65 @p64) :args ((tptp.meet @t19 @t16))) % 18.62/18.83 (step @p67 :rule symm :premises (@p31)) % 18.62/18.83 (step @p68 :rule cong :premises (@p65 @p67) :args (@t22)) % 18.62/18.83 (step @p69 :rule trans :premises (@p68 @p66 @p42)) % 18.62/18.83 (step @p70 :rule cong :premises (@p36 @p69) :args (@t23)) % 18.62/18.83 (step @p71 :rule trans :premises (@p70 @p37 @p30 @p28)) % 18.62/18.83 (step @p72 :rule cong :premises (@p50 @p71) :args (@t24)) % 18.62/18.83 (step @p73 :rule cong :premises (@p36 @p72) :args (@t25)) % 18.62/18.83 (step @p74 :rule cong :premises (@p50 @p73) :args (@t26)) % 18.62/18.83 (step @p75 :rule trans :premises (@p74 @p21)) % 18.62/18.83 (step @p76 :rule cong :premises (@p75 @p19) :args (@t28)) % 18.62/18.83 (step @p77 :rule trans :premises (@p76 @p18)) % 18.62/18.83 (step @p78 :rule eq_resolve :premises (@p77 @p17)) % 18.62/18.83 (step @p79 :rule false_elim :premises (@p78)) % 18.62/18.83 (assume-push @p86 @t15) % 18.62/18.83 (step @p81 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.a @t19))) % 18.62/18.83 (step-pop @p87 :rule scope :premises (@p81)) % 18.62/18.83 (step @p82 :rule process_scope :premises (@p87) :args (@t27)) % 18.62/18.83 (step @p84 :rule implies_elim :premises (@p82)) % 18.62/18.83 (step @p85 false :rule chain_m_resolution :premises (@p84 @p79 @p9) :args (false (@list true false) (@list @t27 @t15))) % 18.62/18.83 ) % 18.62/18.83 % SZS output end Proof % 18.62/18.83 % cvc5 exiting %------------------------------------------------------------------------------