%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP174-1 : 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 : n009.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 08:20:05 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP174-1 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.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 00:54:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.a $$unsorted) % 0.38/0.57 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.identity $$unsorted) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.38/0.57 (define @t3 () (@list @t1)) % 0.38/0.57 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.38/0.57 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.38/0.57 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.38/0.57 (define @t7 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t8 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t9 () (tptp.multiply @t1 @t8)) % 0.38/0.57 (define @t10 () (@list @t1 @t8 @t7)) % 0.38/0.57 (define @t11 () (tptp.greatest_lower_bound @t1 @t8)) % 0.38/0.57 (define @t12 () (@list @t1 @t8)) % 0.38/0.57 (define @t13 () (tptp.least_upper_bound @t1 @t8)) % 0.38/0.57 (define @t14 () (tptp.greatest_lower_bound @t8 @t7)) % 0.38/0.57 (define @t15 () (tptp.least_upper_bound @t8 @t7)) % 0.38/0.57 (define @t16 () (tptp.greatest_lower_bound @t1 @t1)) % 0.38/0.57 (define @t17 () (forall @t3 (= @t16 @t1))) % 0.38/0.57 (define @t18 () (tptp.multiply @t1 @t7)) % 0.38/0.57 (define @t19 () (tptp.multiply @t7 @t1)) % 0.38/0.57 (define @t20 () (tptp.multiply @t8 @t1)) % 0.38/0.57 (define @t21 () (@list @t8 @t7 @t1)) % 0.38/0.57 (define @t22 () (forall @t21 (= (tptp.multiply @t14 @t1) (tptp.greatest_lower_bound @t20 @t19)))) % 0.38/0.57 (define @t23 () (tptp.greatest_lower_bound tptp.identity tptp.a)) % 0.38/0.57 (define @t24 () (tptp.inverse tptp.a)) % 0.38/0.57 (define @t25 () (tptp.greatest_lower_bound tptp.identity @t24)) % 0.38/0.57 (define @t26 () (= tptp.identity tptp.a)) % 0.38/0.57 (define @t27 () (@list tptp.a)) % 0.38/0.57 (define @t28 () (tptp.greatest_lower_bound tptp.identity tptp.identity)) % 0.38/0.57 (define @t29 () (tptp.multiply (tptp.greatest_lower_bound @t24 @t24) tptp.a)) % 0.38/0.57 (define @t30 () (tptp.multiply @t24 tptp.a)) % 0.38/0.57 (define @t31 () (tptp.greatest_lower_bound @t30 @t30)) % 0.38/0.57 (define @t32 () (= @t29 @t31)) % 0.38/0.57 (define @t33 () (@list @t24 @t24 tptp.a)) % 0.38/0.57 (define @t34 () (= @t31 @t29)) % 0.38/0.57 (define @t35 () (= tptp.a @t23)) % 0.38/0.57 (define @t36 () (= @t24 @t25)) % 0.38/0.57 (define @t37 () (= tptp.identity @t30)) % 0.38/0.57 (define @t38 () (= @t23 (tptp.greatest_lower_bound tptp.a tptp.identity))) % 0.38/0.57 (define @t39 () (tptp.greatest_lower_bound @t28 @t24)) % 0.38/0.57 (define @t40 () (= (tptp.greatest_lower_bound tptp.identity @t25) @t39)) % 0.38/0.57 (define @t41 () (= tptp.identity @t28)) % 0.38/0.57 (define @t42 () (tptp.multiply @t28 tptp.a)) % 0.38/0.57 (define @t43 () (tptp.greatest_lower_bound @t42 @t30)) % 0.38/0.57 (define @t44 () (= (tptp.multiply @t39 tptp.a) @t43)) % 0.38/0.57 (define @t45 () (= tptp.a (tptp.multiply tptp.identity tptp.a))) % 0.38/0.57 (define @t46 () (and @t35 @t36 @t37 @t38 @t40 @t41 @t44 @t34 @t45)) % 0.38/0.57 (assume @p1 @t4) % 0.38/0.57 (assume @p2 @t6) % 0.38/0.57 (assume @p3 (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.38/0.57 (assume @p4 (forall @t12 (= @t11 (tptp.greatest_lower_bound @t8 @t1)))) % 0.38/0.57 (assume @p5 (forall @t12 (= @t13 (tptp.least_upper_bound @t8 @t1)))) % 0.38/0.57 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t14) (tptp.greatest_lower_bound @t11 @t7)))) % 0.38/0.57 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t15) (tptp.least_upper_bound @t13 @t7)))) % 0.38/0.57 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.38/0.57 (assume @p9 @t17) % 0.38/0.57 (assume @p10 (forall @t12 (= (tptp.least_upper_bound @t1 @t11) @t1))) % 0.38/0.57 (assume @p11 (forall @t12 (= (tptp.greatest_lower_bound @t1 @t13) @t1))) % 0.38/0.57 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.least_upper_bound @t9 @t18)))) % 0.38/0.57 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t14) (tptp.greatest_lower_bound @t9 @t18)))) % 0.38/0.57 (assume @p14 (forall @t21 (= (tptp.multiply @t15 @t1) (tptp.least_upper_bound @t20 @t19)))) % 0.38/0.57 (assume @p15 @t22) % 0.38/0.57 (assume @p16 (= @t23 tptp.a)) % 0.38/0.57 (assume @p17 (= @t25 @t24)) % 0.38/0.57 (assume @p18 (not @t26)) % 0.38/0.57 (step @p19 :rule symm :premises (@p16)) % 0.38/0.57 (step @p20 :rule symm :premises (@p17)) % 0.38/0.57 (step @p21 :rule eq-symm :args (@t5 tptp.identity)) % 0.38/0.57 (step @p22 :rule cong :premises (@p21) :args (@t6)) % 0.38/0.57 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p23) :args (@t27)) % 0.38/0.57 (step @p25 :rule instantiate :premises (@p4) :args ((@list tptp.identity tptp.a))) % 0.38/0.57 (step @p26 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.identity @t24))) % 0.38/0.57 (step @p27 :rule eq-symm :args (@t16 @t1)) % 0.38/0.57 (step @p28 :rule cong :premises (@p27) :args (@t17)) % 0.38/0.57 (step @p29 :rule eq_resolve :premises (@p9 @p28)) % 0.38/0.57 (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.identity))) % 0.38/0.57 (step @p31 :rule instantiate :premises (@p15) :args ((@list @t28 @t24 tptp.a))) % 0.38/0.57 (step @p32 :rule eq-symm :args (@t29 @t31)) % 0.38/0.57 (step @p33 :rule refl :args (@t22)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t22 @t32))) % 0.38/0.57 (assume-push @p89 @t22) % 0.38/0.57 (step @p36 :rule instantiate :premises (@p15) :args (@t33)) % 0.38/0.57 (step-pop @p90 :rule scope :premises (@p36)) % 0.38/0.57 (step @p37 :rule process_scope :premises (@p90) :args (@t32)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.38/0.57 (step @p40 :rule implies_elim :premises (@p39)) % 0.38/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p15) :args (@t34 (@list false) (@list @t22))) % 0.38/0.57 (step @p42 :rule eq-symm :args (@t2 @t1)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42) :args (@t4)) % 0.38/0.57 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 0.38/0.57 (step @p45 :rule instantiate :premises (@p44) :args (@t27)) % 0.38/0.57 (assume-push @p91 @t35) % 0.38/0.57 (assume-push @p92 @t36) % 0.38/0.57 (assume-push @p93 @t37) % 0.38/0.57 (assume-push @p94 @t38) % 0.38/0.57 (assume-push @p95 @t40) % 0.38/0.57 (assume-push @p96 @t41) % 0.38/0.57 (assume-push @p97 @t44) % 0.38/0.57 (assume-push @p98 @t34) % 0.38/0.57 (assume-push @p99 @t45) % 0.38/0.57 (step @p55 :rule symm :premises (@p25)) % 0.38/0.57 (step @p56 :rule symm :premises (@p30)) % 0.38/0.57 (step @p57 :rule symm :premises (@p24)) % 0.38/0.57 (step @p58 :rule cong :premises (@p57 @p57) :args (@t31)) % 0.38/0.57 (step @p36 :rule instantiate :premises (@p15) :args (@t33)) % 0.38/0.57 (step @p59 :rule trans :premises (@p36 @p58 @p56)) % 0.38/0.57 (step @p60 :rule symm :premises (@p45)) % 0.38/0.57 (step @p61 :rule refl :args (tptp.a)) % 0.38/0.57 (step @p62 :rule cong :premises (@p56 @p61) :args (@t42)) % 0.38/0.57 (step @p63 :rule trans :premises (@p62 @p60)) % 0.38/0.57 (step @p64 :rule cong :premises (@p63 @p59) :args ((tptp.greatest_lower_bound @t42 @t29))) % 0.38/0.57 (step @p65 :rule symm :premises (@p58)) % 0.38/0.57 (step @p66 :rule trans :premises (@p57 @p30 @p65 @p41)) % 0.38/0.57 (step @p67 :rule refl :args (@t42)) % 0.38/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args (@t43)) % 0.38/0.57 (step @p69 :rule refl :args (tptp.identity)) % 0.38/0.57 (step @p70 :rule cong :premises (@p69 @p20) :args (@t25)) % 0.38/0.57 (step @p71 :rule trans :premises (@p20 @p70 @p26)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71 @p61) :args (@t30)) % 0.38/0.57 (step @p73 :rule trans :premises (@p24 @p72 @p31 @p68 @p64 @p55 @p16)) % 0.38/0.57 (step-pop @p100 :rule scope :premises (@p73)) % 0.38/0.57 (step-pop @p101 :rule scope :premises (@p100)) % 0.38/0.57 (step-pop @p102 :rule scope :premises (@p101)) % 0.38/0.57 (step-pop @p103 :rule scope :premises (@p102)) % 0.38/0.57 (step-pop @p104 :rule scope :premises (@p103)) % 0.38/0.57 (step-pop @p105 :rule scope :premises (@p104)) % 0.38/0.57 (step-pop @p106 :rule scope :premises (@p105)) % 0.38/0.57 (step-pop @p107 :rule scope :premises (@p106)) % 0.38/0.57 (step-pop @p108 :rule scope :premises (@p107)) % 0.38/0.57 (step @p74 :rule process_scope :premises (@p108) :args (@t26)) % 0.38/0.57 (step @p84 :rule implies_elim :premises (@p74)) % 0.38/0.57 (step @p85 :rule cnf_and_neg :args (@t46)) % 0.38/0.57 (step @p86 :rule resolution :premises (@p85 @p84) :args (true @t46)) % 0.38/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t26 (not @t35) (not @t36) (not @t37) (not @t38) (not @t40) (not @t41) (not @t44) (not @t34) (not @t45)))) % 0.38/0.57 (step @p88 false :rule chain_m_resolution :premises (@p87 @p45 @p41 @p31 @p30 @p26 @p25 @p24 @p18 @p20 @p19) :args (false (@list false false false false false false false true false false) (@list @t45 @t34 @t44 @t41 @t40 @t38 @t37 @t26 @t36 @t35))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------