%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP192-1 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:20:11 AM UTC 2026 % Result : Unsatisfiable 15.52s 15.79s % Output : Proof 15.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP192-1 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.25 % Computer : n012.cluster.edu % 0.09/0.25 % Model : x86_64 x86_64 % 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.25 % Memory : 8042.1875MB % 0.09/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.25 % CPULimit : 300 % 0.09/0.25 % WCLimit : 300 % 0.09/0.25 % DateTime : Tue Jun 2 00:57:33 EDT 2026 % 0.09/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.74 --- Run --no-e-matching --full-saturate-quant at 6... % 15.52/15.79 % SZS status Unsatisfiable % 15.52/15.79 % SZS output start Proof % 15.58/15.80 ( % 15.58/15.80 (declare-sort $$unsorted 0) % 15.58/15.80 (declare-const tptp.b $$unsorted) % 15.58/15.80 (declare-const tptp.a $$unsorted) % 15.58/15.80 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 15.58/15.80 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 15.58/15.80 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.58/15.80 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.58/15.80 (declare-const tptp.identity $$unsorted) % 15.58/15.80 (define @t1 () (@var "X" $$unsorted)) % 15.58/15.80 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.58/15.80 (define @t3 () (@list @t1)) % 15.58/15.80 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.58/15.80 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.58/15.80 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.58/15.80 (define @t7 () (@var "Z" $$unsorted)) % 15.58/15.80 (define @t8 () (@var "Y" $$unsorted)) % 15.58/15.80 (define @t9 () (tptp.multiply @t1 @t8)) % 15.58/15.80 (define @t10 () (@list @t1 @t8 @t7)) % 15.58/15.80 (define @t11 () (tptp.greatest_lower_bound @t1 @t8)) % 15.58/15.80 (define @t12 () (@list @t1 @t8)) % 15.58/15.80 (define @t13 () (tptp.least_upper_bound @t1 @t8)) % 15.58/15.80 (define @t14 () (tptp.greatest_lower_bound @t8 @t7)) % 15.58/15.80 (define @t15 () (tptp.least_upper_bound @t8 @t7)) % 15.58/15.80 (define @t16 () (tptp.multiply @t1 @t7)) % 15.58/15.80 (define @t17 () (tptp.multiply @t7 @t1)) % 15.58/15.80 (define @t18 () (tptp.multiply @t8 @t1)) % 15.58/15.80 (define @t19 () (@list @t8 @t7 @t1)) % 15.58/15.80 (define @t20 () (tptp.least_upper_bound tptp.identity @t1)) % 15.58/15.80 (define @t21 () (forall @t3 (= @t20 @t1))) % 15.58/15.80 (define @t22 () (tptp.multiply tptp.a tptp.b)) % 15.58/15.80 (define @t23 () (= @t22 (tptp.multiply tptp.b tptp.a))) % 15.58/15.80 (define @t24 () (@list tptp.a)) % 15.58/15.80 (define @t25 () (@list tptp.b)) % 15.58/15.80 (define @t26 () (tptp.inverse tptp.b)) % 15.58/15.80 (define @t27 () (tptp.inverse tptp.a)) % 15.58/15.80 (define @t28 () (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) % 15.58/15.80 (define @t29 () (tptp.least_upper_bound tptp.identity tptp.a)) % 15.58/15.80 (define @t30 () (= @t29 (tptp.least_upper_bound tptp.a tptp.identity))) % 15.58/15.80 (define @t31 () (= tptp.a @t29)) % 15.58/15.80 (define @t32 () (tptp.least_upper_bound tptp.identity tptp.b)) % 15.58/15.80 (define @t33 () (= tptp.b @t32)) % 15.58/15.80 (define @t34 () (tptp.multiply tptp.identity tptp.b)) % 15.58/15.80 (define @t35 () (= tptp.b @t34)) % 15.58/15.80 (define @t36 () (tptp.multiply @t26 tptp.b)) % 15.58/15.80 (define @t37 () (= tptp.identity @t36)) % 15.58/15.80 (define @t38 () (= @t32 (tptp.least_upper_bound tptp.b tptp.identity))) % 15.58/15.80 (define @t39 () (tptp.least_upper_bound tptp.identity @t26)) % 15.58/15.80 (define @t40 () (= @t26 @t39)) % 15.58/15.80 (define @t41 () (tptp.multiply tptp.identity tptp.a)) % 15.58/15.80 (define @t42 () (= tptp.a @t41)) % 15.58/15.80 (define @t43 () (tptp.multiply @t27 tptp.a)) % 15.58/15.80 (define @t44 () (= tptp.identity @t43)) % 15.58/15.80 (define @t45 () (tptp.least_upper_bound @t34 @t36)) % 15.58/15.80 (define @t46 () (= (tptp.multiply @t39 tptp.b) @t45)) % 15.58/15.80 (define @t47 () (tptp.least_upper_bound tptp.identity @t27)) % 15.58/15.80 (define @t48 () (= @t27 @t47)) % 15.58/15.80 (define @t49 () (tptp.least_upper_bound @t41 @t43)) % 15.58/15.80 (define @t50 () (= (tptp.multiply @t47 tptp.a) @t49)) % 15.58/15.80 (define @t51 () (and @t28 @t30 @t31 @t33 @t35 @t37 @t38 @t40 @t42 @t44 @t46 @t48 @t50)) % 15.58/15.80 (assume @p1 @t4) % 15.58/15.80 (assume @p2 @t6) % 15.58/15.80 (assume @p3 (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.58/15.80 (assume @p4 (forall @t12 (= @t11 (tptp.greatest_lower_bound @t8 @t1)))) % 15.58/15.80 (assume @p5 (forall @t12 (= @t13 (tptp.least_upper_bound @t8 @t1)))) % 15.58/15.80 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t14) (tptp.greatest_lower_bound @t11 @t7)))) % 15.58/15.80 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t15) (tptp.least_upper_bound @t13 @t7)))) % 15.58/15.80 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 15.58/15.80 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 15.58/15.80 (assume @p10 (forall @t12 (= (tptp.least_upper_bound @t1 @t11) @t1))) % 15.58/15.80 (assume @p11 (forall @t12 (= (tptp.greatest_lower_bound @t1 @t13) @t1))) % 15.58/15.80 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.least_upper_bound @t9 @t16)))) % 15.58/15.80 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t14) (tptp.greatest_lower_bound @t9 @t16)))) % 15.58/15.80 (assume @p14 (forall @t19 (= (tptp.multiply @t15 @t1) (tptp.least_upper_bound @t18 @t17)))) % 15.58/15.80 (assume @p15 (forall @t19 (= (tptp.multiply @t14 @t1) (tptp.greatest_lower_bound @t18 @t17)))) % 15.58/15.80 (assume @p16 @t21) % 15.58/15.80 (assume @p17 (not @t23)) % 15.58/15.80 (step @p18 :rule eq-symm :args (@t2 @t1)) % 15.58/15.80 (step @p19 :rule cong :premises (@p18) :args (@t4)) % 15.58/15.80 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 15.58/15.80 (step @p21 :rule instantiate :premises (@p20) :args ((@list tptp.identity))) % 15.58/15.80 (step @p22 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.a))) % 15.58/15.80 (step @p23 :rule eq-symm :args (@t20 @t1)) % 15.58/15.80 (step @p24 :rule cong :premises (@p23) :args (@t21)) % 15.58/15.80 (step @p25 :rule eq_resolve :premises (@p16 @p24)) % 15.58/15.80 (step @p26 :rule instantiate :premises (@p25) :args (@t24)) % 15.58/15.80 (step @p27 :rule instantiate :premises (@p25) :args (@t25)) % 15.58/15.80 (step @p28 :rule instantiate :premises (@p20) :args (@t25)) % 15.58/15.80 (step @p29 :rule eq-symm :args (@t5 tptp.identity)) % 15.58/15.80 (step @p30 :rule cong :premises (@p29) :args (@t6)) % 15.58/15.80 (step @p31 :rule eq_resolve :premises (@p2 @p30)) % 15.58/15.80 (step @p32 :rule instantiate :premises (@p31) :args (@t25)) % 15.58/15.80 (step @p33 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.b))) % 15.58/15.80 (step @p34 :rule instantiate :premises (@p25) :args ((@list @t26))) % 15.58/15.80 (step @p35 :rule instantiate :premises (@p20) :args (@t24)) % 15.58/15.80 (step @p36 :rule instantiate :premises (@p31) :args (@t24)) % 15.58/15.80 (step @p37 :rule instantiate :premises (@p14) :args ((@list tptp.identity @t26 tptp.b))) % 15.58/15.80 (step @p38 :rule instantiate :premises (@p25) :args ((@list @t27))) % 15.58/15.80 (step @p39 :rule instantiate :premises (@p14) :args ((@list tptp.identity @t27 tptp.a))) % 15.58/15.80 (assume-push @p99 @t28) % 15.58/15.80 (assume-push @p100 @t30) % 15.58/15.80 (assume-push @p101 @t31) % 15.58/15.80 (assume-push @p102 @t33) % 15.58/15.80 (assume-push @p103 @t35) % 15.58/15.80 (assume-push @p104 @t37) % 15.58/15.80 (assume-push @p105 @t38) % 15.58/15.80 (assume-push @p106 @t40) % 15.58/15.80 (assume-push @p107 @t42) % 15.58/15.80 (assume-push @p108 @t44) % 15.58/15.80 (assume-push @p109 @t46) % 15.58/15.80 (assume-push @p110 @t48) % 15.58/15.80 (assume-push @p111 @t50) % 15.58/15.80 (step @p53 :rule refl :args (tptp.a)) % 15.58/15.80 (step @p54 :rule symm :premises (@p27)) % 15.58/15.80 (step @p55 :rule symm :premises (@p33)) % 15.58/15.80 (step @p56 :rule symm :premises (@p32)) % 15.58/15.80 (step @p57 :rule symm :premises (@p28)) % 15.58/15.80 (step @p58 :rule cong :premises (@p57 @p56) :args (@t45)) % 15.58/15.80 (step @p59 :rule refl :args (tptp.b)) % 15.58/15.80 (step @p60 :rule cong :premises (@p34 @p59) :args (@t36)) % 15.58/15.80 (step @p61 :rule trans :premises (@p32 @p60 @p37 @p58 @p55 @p54)) % 15.58/15.80 (step @p62 :rule cong :premises (@p61 @p53) :args (@t41)) % 15.58/15.80 (step @p63 :rule symm :premises (@p26)) % 15.58/15.80 (step @p64 :rule symm :premises (@p22)) % 15.58/15.80 (step @p65 :rule symm :premises (@p36)) % 15.58/15.80 (step @p66 :rule symm :premises (@p35)) % 15.58/15.80 (step @p67 :rule cong :premises (@p66 @p65) :args (@t49)) % 15.58/15.80 (step @p68 :rule cong :premises (@p38 @p53) :args (@t43)) % 15.58/15.80 (step @p69 :rule symm :premises (@p21)) % 15.58/15.80 (step @p70 :rule refl :args (tptp.identity)) % 15.58/15.80 (step @p71 :rule symm :premises (@p68)) % 15.58/15.80 (step @p72 :rule symm :premises (@p39)) % 15.58/15.80 (step @p73 :rule symm :premises (@p67)) % 15.58/15.80 (step @p74 :rule trans :premises (@p22 @p73 @p72 @p71 @p65)) % 15.58/15.80 (step @p75 :rule trans :premises (@p26 @p74)) % 15.58/15.80 (step @p76 :rule cong :premises (@p75 @p70) :args ((tptp.multiply tptp.a tptp.identity))) % 15.58/15.80 (step @p77 :rule symm :premises (@p61)) % 15.58/15.80 (step @p78 :rule cong :premises (@p53 @p77) :args (@t22)) % 15.58/15.80 (step @p79 :rule trans :premises (@p78 @p76 @p69 @p36 @p68 @p39 @p67 @p64 @p63 @p35 @p62)) % 15.58/15.80 (step-pop @p112 :rule scope :premises (@p79)) % 15.58/15.80 (step-pop @p113 :rule scope :premises (@p112)) % 15.58/15.80 (step-pop @p114 :rule scope :premises (@p113)) % 15.58/15.80 (step-pop @p115 :rule scope :premises (@p114)) % 15.58/15.80 (step-pop @p116 :rule scope :premises (@p115)) % 15.58/15.80 (step-pop @p117 :rule scope :premises (@p116)) % 15.58/15.80 (step-pop @p118 :rule scope :premises (@p117)) % 15.58/15.80 (step-pop @p119 :rule scope :premises (@p118)) % 15.58/15.80 (step-pop @p120 :rule scope :premises (@p119)) % 15.58/15.80 (step-pop @p121 :rule scope :premises (@p120)) % 15.58/15.80 (step-pop @p122 :rule scope :premises (@p121)) % 15.58/15.80 (step-pop @p123 :rule scope :premises (@p122)) % 15.58/15.80 (step-pop @p124 :rule scope :premises (@p123)) % 15.58/15.80 (step @p80 :rule process_scope :premises (@p124) :args (@t23)) % 15.58/15.80 (step @p94 :rule implies_elim :premises (@p80)) % 15.58/15.80 (step @p95 :rule cnf_and_neg :args (@t51)) % 15.58/15.80 (step @p96 :rule resolution :premises (@p95 @p94) :args (true @t51)) % 15.58/15.80 (step @p97 :rule reordering :premises (@p96) :args ((or @t23 (not @t28) (not @t30) (not @t31) (not @t33) (not @t35) (not @t37) (not @t38) (not @t40) (not @t42) (not @t44) (not @t46) (not @t48) (not @t50)))) % 15.58/15.80 (step @p98 false :rule chain_m_resolution :premises (@p97 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p28 @p27 @p26 @p22 @p21 @p17) :args (false (@list false false false false false false false false false false false false false true) (@list @t50 @t48 @t46 @t44 @t42 @t40 @t38 @t37 @t35 @t33 @t31 @t30 @t28 @t23))) % 15.58/15.80 ) % 15.58/15.80 % SZS output end Proof % 15.58/15.80 % cvc5 exiting %------------------------------------------------------------------------------