%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP185-1 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:20:09 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP185-1 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:56:43 EDT 2026 % 0.16/0.34 % 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... % 0.46/0.63 % SZS status Unsatisfiable % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.a $$unsorted) % 0.46/0.63 (declare-const tptp.b $$unsorted) % 0.46/0.63 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.identity $$unsorted) % 0.46/0.63 (define @t1 () (@var "X" $$unsorted)) % 0.46/0.63 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.46/0.63 (define @t3 () (@list @t1)) % 0.46/0.63 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.46/0.63 (define @t5 () (@var "Z" $$unsorted)) % 0.46/0.63 (define @t6 () (@var "Y" $$unsorted)) % 0.46/0.63 (define @t7 () (tptp.multiply @t1 @t6)) % 0.46/0.63 (define @t8 () (@list @t1 @t6 @t5)) % 0.46/0.63 (define @t9 () (tptp.greatest_lower_bound @t1 @t6)) % 0.46/0.63 (define @t10 () (@list @t1 @t6)) % 0.46/0.63 (define @t11 () (tptp.least_upper_bound @t1 @t6)) % 0.46/0.63 (define @t12 () (tptp.greatest_lower_bound @t6 @t5)) % 0.46/0.63 (define @t13 () (tptp.least_upper_bound @t6 @t5)) % 0.46/0.63 (define @t14 () (forall @t8 (= (tptp.least_upper_bound @t1 @t13) (tptp.least_upper_bound @t11 @t5)))) % 0.46/0.63 (define @t15 () (tptp.least_upper_bound @t1 @t9)) % 0.46/0.63 (define @t16 () (forall @t10 (= @t15 @t1))) % 0.46/0.63 (define @t17 () (tptp.greatest_lower_bound @t1 @t11)) % 0.46/0.63 (define @t18 () (forall @t10 (= @t17 @t1))) % 0.46/0.63 (define @t19 () (tptp.multiply @t1 @t5)) % 0.46/0.63 (define @t20 () (tptp.multiply @t5 @t1)) % 0.46/0.63 (define @t21 () (tptp.multiply @t6 @t1)) % 0.46/0.63 (define @t22 () (@list @t6 @t5 @t1)) % 0.46/0.63 (define @t23 () (tptp.least_upper_bound tptp.b tptp.identity)) % 0.46/0.63 (define @t24 () (tptp.least_upper_bound tptp.a tptp.identity)) % 0.46/0.63 (define @t25 () (tptp.multiply @t24 @t23)) % 0.46/0.63 (define @t26 () (tptp.multiply tptp.a tptp.b)) % 0.46/0.63 (define @t27 () (tptp.least_upper_bound @t26 tptp.identity)) % 0.46/0.63 (define @t28 () (tptp.multiply tptp.identity @t23)) % 0.46/0.63 (define @t29 () (tptp.multiply tptp.a @t23)) % 0.46/0.63 (define @t30 () (tptp.multiply tptp.a tptp.identity)) % 0.46/0.63 (define @t31 () (@list @t26 tptp.identity)) % 0.46/0.63 (define @t32 () (tptp.greatest_lower_bound @t26 @t27)) % 0.46/0.63 (define @t33 () (tptp.least_upper_bound tptp.identity @t26)) % 0.46/0.63 (define @t34 () (tptp.least_upper_bound tptp.identity @t29)) % 0.46/0.63 (define @t35 () (tptp.multiply @t24 tptp.b)) % 0.46/0.63 (define @t36 () (tptp.multiply tptp.identity tptp.identity)) % 0.46/0.63 (define @t37 () (tptp.least_upper_bound @t35 @t30)) % 0.46/0.63 (define @t38 () (tptp.least_upper_bound @t37 tptp.identity)) % 0.46/0.63 (define @t39 () (tptp.least_upper_bound tptp.identity tptp.a)) % 0.46/0.63 (define @t40 () (tptp.greatest_lower_bound tptp.identity @t39)) % 0.46/0.63 (define @t41 () (tptp.least_upper_bound @t38 @t40)) % 0.46/0.63 (define @t42 () (tptp.least_upper_bound @t37 (tptp.least_upper_bound tptp.identity @t40))) % 0.46/0.63 (define @t43 () (= @t42 @t41)) % 0.46/0.63 (assume @p1 @t4) % 0.46/0.63 (assume @p2 (forall @t3 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity))) % 0.46/0.63 (assume @p3 (forall @t8 (= (tptp.multiply @t7 @t5) (tptp.multiply @t1 (tptp.multiply @t6 @t5))))) % 0.46/0.63 (assume @p4 (forall @t10 (= @t9 (tptp.greatest_lower_bound @t6 @t1)))) % 0.46/0.63 (assume @p5 (forall @t10 (= @t11 (tptp.least_upper_bound @t6 @t1)))) % 0.46/0.63 (assume @p6 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t12) (tptp.greatest_lower_bound @t9 @t5)))) % 0.46/0.63 (assume @p7 @t14) % 0.46/0.63 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.46/0.63 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.46/0.63 (assume @p10 @t16) % 0.46/0.63 (assume @p11 @t18) % 0.46/0.63 (assume @p12 (forall @t8 (= (tptp.multiply @t1 @t13) (tptp.least_upper_bound @t7 @t19)))) % 0.46/0.63 (assume @p13 (forall @t8 (= (tptp.multiply @t1 @t12) (tptp.greatest_lower_bound @t7 @t19)))) % 0.46/0.63 (assume @p14 (forall @t22 (= (tptp.multiply @t13 @t1) (tptp.least_upper_bound @t21 @t20)))) % 0.46/0.63 (assume @p15 (forall @t22 (= (tptp.multiply @t12 @t1) (tptp.greatest_lower_bound @t21 @t20)))) % 0.46/0.63 (assume @p16 (not (= (tptp.least_upper_bound @t27 @t25) @t25))) % 0.46/0.63 (step @p17 :rule symm :premises (@p16)) % 0.46/0.63 (step @p18 :rule false_intro :premises (@p17)) % 0.46/0.63 (step @p19 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.identity @t23))) % 0.46/0.63 (step @p20 :rule symm :premises (@p19)) % 0.46/0.63 (step @p21 :rule refl :args (@t27)) % 0.46/0.63 (step @p22 :rule cong :premises (@p21 @p20) :args ((tptp.least_upper_bound @t27 (tptp.least_upper_bound @t29 @t28)))) % 0.46/0.63 (step @p23 :rule instantiate :premises (@p7) :args ((@list @t27 @t29 @t28))) % 0.46/0.63 (step @p24 :rule symm :premises (@p23)) % 0.46/0.63 (step @p25 :rule instantiate :premises (@p5) :args ((@list (tptp.least_upper_bound @t27 @t29) @t28))) % 0.46/0.63 (step @p26 :rule symm :premises (@p25)) % 0.46/0.63 (step @p27 :rule instantiate :premises (@p12) :args ((@list tptp.a tptp.b tptp.identity))) % 0.46/0.63 (step @p28 :rule symm :premises (@p27)) % 0.46/0.63 (step @p29 :rule cong :premises (@p21 @p28) :args ((tptp.least_upper_bound @t27 (tptp.least_upper_bound @t26 @t30)))) % 0.46/0.63 (step @p30 :rule instantiate :premises (@p7) :args ((@list @t27 @t26 @t30))) % 0.46/0.63 (step @p31 :rule symm :premises (@p30)) % 0.46/0.63 (step @p32 :rule refl :args (@t30)) % 0.46/0.63 (step @p33 :rule eq-symm :args (@t17 @t1)) % 0.46/0.63 (step @p34 :rule cong :premises (@p33) :args (@t18)) % 0.46/0.63 (step @p35 :rule eq_resolve :premises (@p11 @p34)) % 0.46/0.63 (step @p36 :rule instantiate :premises (@p35) :args (@t31)) % 0.46/0.63 (step @p37 :rule symm :premises (@p36)) % 0.46/0.63 (step @p38 :rule instantiate :premises (@p5) :args (@t31)) % 0.46/0.63 (step @p39 :rule symm :premises (@p38)) % 0.46/0.63 (step @p40 :rule cong :premises (@p39 @p37) :args ((tptp.least_upper_bound @t33 @t32))) % 0.46/0.63 (step @p41 :rule instantiate :premises (@p7) :args ((@list tptp.identity @t26 @t32))) % 0.46/0.63 (step @p42 :rule eq-symm :args (@t15 @t1)) % 0.46/0.63 (step @p43 :rule cong :premises (@p42) :args (@t16)) % 0.46/0.63 (step @p44 :rule eq_resolve :premises (@p10 @p43)) % 0.46/0.63 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t26 @t27))) % 0.46/0.63 (step @p46 :rule refl :args (tptp.identity)) % 0.46/0.63 (step @p47 :rule cong :premises (@p46 @p45) :args (@t33)) % 0.46/0.63 (step @p48 :rule trans :premises (@p38 @p47 @p41 @p40)) % 0.46/0.63 (step @p49 :rule trans :premises (@p39 @p48)) % 0.46/0.63 (step @p50 :rule cong :premises (@p49 @p32) :args ((tptp.least_upper_bound @t33 @t30))) % 0.46/0.63 (step @p51 :rule instantiate :premises (@p7) :args ((@list tptp.identity @t26 @t30))) % 0.46/0.63 (step @p52 :rule cong :premises (@p46 @p27) :args (@t34)) % 0.46/0.63 (step @p53 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t29))) % 0.46/0.63 (step @p54 :rule symm :premises (@p53)) % 0.46/0.63 (step @p55 :rule trans :premises (@p54 @p52 @p51 @p50 @p31 @p29)) % 0.46/0.63 (step @p56 :rule refl :args (@t28)) % 0.46/0.63 (step @p57 :rule cong :premises (@p56 @p55) :args ((tptp.least_upper_bound @t28 (tptp.least_upper_bound @t29 tptp.identity)))) % 0.46/0.63 (step @p58 :rule cong :premises (@p56 @p53) :args ((tptp.least_upper_bound @t28 @t34))) % 0.46/0.63 (step @p59 :rule instantiate :premises (@p5) :args ((@list @t34 @t28))) % 0.46/0.63 (step @p60 :rule instantiate :premises (@p7) :args ((@list tptp.identity @t29 @t28))) % 0.46/0.63 (step @p61 :rule cong :premises (@p46 @p19) :args ((tptp.least_upper_bound tptp.identity @t25))) % 0.46/0.63 (step @p62 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t25))) % 0.46/0.63 (step @p63 :rule symm :premises (@p62)) % 0.46/0.63 (step @p64 :rule instantiate :premises (@p35) :args ((@list tptp.identity tptp.a))) % 0.46/0.63 (step @p65 :rule symm :premises (@p64)) % 0.46/0.63 (step @p66 :rule instantiate :premises (@p12) :args ((@list @t24 tptp.b tptp.identity))) % 0.46/0.63 (step @p67 :rule symm :premises (@p66)) % 0.46/0.63 (step @p68 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.identity tptp.identity))) % 0.46/0.63 (step @p69 :rule symm :premises (@p68)) % 0.46/0.63 (step @p70 :rule refl :args (@t35)) % 0.46/0.63 (step @p71 :rule cong :premises (@p70 @p69) :args ((tptp.least_upper_bound @t35 (tptp.least_upper_bound @t30 @t36)))) % 0.46/0.63 (step @p72 :rule instantiate :premises (@p7) :args ((@list @t35 @t30 @t36))) % 0.46/0.63 (step @p73 :rule symm :premises (@p72)) % 0.46/0.63 (step @p74 :rule eq-symm :args (@t2 @t1)) % 0.46/0.63 (step @p75 :rule cong :premises (@p74) :args (@t4)) % 0.46/0.63 (step @p76 :rule eq_resolve :premises (@p1 @p75)) % 0.46/0.63 (step @p77 :rule instantiate :premises (@p76) :args ((@list tptp.identity))) % 0.46/0.63 (step @p78 :rule refl :args (@t37)) % 0.46/0.63 (step @p79 :rule cong :premises (@p78 @p77) :args (@t38)) % 0.46/0.63 (step @p80 :rule trans :premises (@p79 @p73 @p71 @p67)) % 0.46/0.63 (step @p81 :rule cong :premises (@p80 @p65) :args (@t41)) % 0.46/0.63 (step @p82 :rule trans :premises (@p81 @p63 @p61 @p60 @p59 @p58 @p57 @p26 @p24 @p22)) % 0.46/0.63 (step @p83 :rule instantiate :premises (@p44) :args ((@list tptp.identity @t39))) % 0.46/0.63 (step @p84 :rule symm :premises (@p83)) % 0.46/0.63 (step @p85 :rule trans :premises (@p84 @p77)) % 0.46/0.63 (step @p86 :rule cong :premises (@p78 @p85) :args (@t42)) % 0.46/0.63 (step @p87 :rule trans :premises (@p86 @p73 @p71 @p67)) % 0.46/0.63 (step @p88 :rule cong :premises (@p87 @p82) :args (@t43)) % 0.46/0.63 (step @p89 :rule trans :premises (@p88 @p18)) % 0.46/0.63 (step @p90 :rule false_elim :premises (@p89)) % 0.46/0.63 (assume-push @p97 @t14) % 0.46/0.63 (step @p92 :rule instantiate :premises (@p7) :args ((@list @t37 tptp.identity @t40))) % 0.46/0.63 (step-pop @p98 :rule scope :premises (@p92)) % 0.46/0.63 (step @p93 :rule process_scope :premises (@p98) :args (@t43)) % 0.46/0.63 (step @p95 :rule implies_elim :premises (@p93)) % 0.46/0.63 (step @p96 false :rule chain_m_resolution :premises (@p95 @p90 @p7) :args (false (@list true false) (@list @t43 @t14))) % 0.46/0.63 ) % 0.46/0.63 % SZS output end Proof % 0.46/0.64 % cvc5 exiting %------------------------------------------------------------------------------