%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP169-1 : 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 : 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 08:20:04 AM UTC 2026 % Result : Unsatisfiable 158.75s 159.08s % Output : Proof 158.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP169-1 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n009.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 00:54:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/16.15 --- Run --no-e-matching --full-saturate-quant at 6... % 21.92/22.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.00/28.22 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.01/34.27 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.38/64.66 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.61/79.87 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.98/113.25 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.26/128.53 --- Run --prenex-quant=none --full-saturate-quant at 30... % 128.31/158.92 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.75/159.08 % SZS status Unsatisfiable % 158.75/159.08 % SZS output start Proof % 158.75/159.08 ( % 158.75/159.08 (declare-sort $$unsorted 0) % 158.75/159.08 (declare-const tptp.a $$unsorted) % 158.75/159.08 (declare-const tptp.b $$unsorted) % 158.75/159.08 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 158.75/159.08 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 158.75/159.08 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 158.75/159.08 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 158.75/159.08 (declare-const tptp.identity $$unsorted) % 158.75/159.08 (define @t1 () (@var "X" $$unsorted)) % 158.75/159.08 (define @t2 () (tptp.multiply tptp.identity @t1)) % 158.75/159.08 (define @t3 () (@list @t1)) % 158.75/159.08 (define @t4 () (forall @t3 (= @t2 @t1))) % 158.75/159.08 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 158.75/159.08 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 158.75/159.08 (define @t7 () (@var "Z" $$unsorted)) % 158.75/159.08 (define @t8 () (@var "Y" $$unsorted)) % 158.75/159.08 (define @t9 () (tptp.multiply @t1 @t8)) % 158.75/159.08 (define @t10 () (@list @t1 @t8 @t7)) % 158.75/159.08 (define @t11 () (tptp.greatest_lower_bound @t1 @t8)) % 158.75/159.08 (define @t12 () (@list @t1 @t8)) % 158.75/159.08 (define @t13 () (tptp.least_upper_bound @t1 @t8)) % 158.75/159.08 (define @t14 () (tptp.greatest_lower_bound @t8 @t7)) % 158.75/159.08 (define @t15 () (tptp.least_upper_bound @t8 @t7)) % 158.75/159.08 (define @t16 () (tptp.multiply @t1 @t7)) % 158.75/159.08 (define @t17 () (tptp.multiply @t7 @t1)) % 158.75/159.08 (define @t18 () (tptp.multiply @t8 @t1)) % 158.75/159.08 (define @t19 () (@list @t8 @t7 @t1)) % 158.75/159.08 (define @t20 () (tptp.inverse tptp.b)) % 158.75/159.08 (define @t21 () (tptp.inverse tptp.a)) % 158.75/159.08 (define @t22 () (tptp.least_upper_bound @t21 @t20)) % 158.75/159.08 (define @t23 () (tptp.least_upper_bound tptp.a tptp.b)) % 158.75/159.08 (define @t24 () (@list tptp.a)) % 158.75/159.08 (define @t25 () (@list tptp.b)) % 158.75/159.08 (define @t26 () (tptp.inverse @t21)) % 158.75/159.08 (define @t27 () (= @t20 @t22)) % 158.75/159.08 (define @t28 () (tptp.multiply @t21 tptp.a)) % 158.75/159.08 (define @t29 () (= tptp.identity @t28)) % 158.75/159.08 (define @t30 () (tptp.multiply @t20 tptp.b)) % 158.75/159.08 (define @t31 () (= tptp.identity @t30)) % 158.75/159.08 (define @t32 () (tptp.least_upper_bound @t20 @t21)) % 158.75/159.08 (define @t33 () (= @t22 @t32)) % 158.75/159.08 (define @t34 () (tptp.multiply @t21 tptp.b)) % 158.75/159.08 (define @t35 () (tptp.least_upper_bound @t30 @t34)) % 158.75/159.08 (define @t36 () (= (tptp.multiply @t32 tptp.b) @t35)) % 158.75/159.08 (define @t37 () (tptp.multiply tptp.identity tptp.a)) % 158.75/159.08 (define @t38 () (= tptp.a @t37)) % 158.75/159.08 (define @t39 () (tptp.multiply @t21 @t23)) % 158.75/159.08 (define @t40 () (= @t39 (tptp.least_upper_bound @t28 @t34))) % 158.75/159.08 (define @t41 () (tptp.multiply tptp.identity tptp.b)) % 158.75/159.08 (define @t42 () (= tptp.b @t41)) % 158.75/159.08 (define @t43 () (tptp.multiply @t26 @t21)) % 158.75/159.08 (define @t44 () (= tptp.identity @t43)) % 158.75/159.08 (define @t45 () (tptp.least_upper_bound @t37 @t41)) % 158.75/159.08 (define @t46 () (= (tptp.multiply tptp.identity @t23) @t45)) % 158.75/159.08 (define @t47 () (tptp.multiply @t26 @t28)) % 158.75/159.08 (define @t48 () (= (tptp.multiply @t43 tptp.a) @t47)) % 158.75/159.08 (define @t49 () (tptp.multiply @t43 @t23)) % 158.75/159.08 (define @t50 () (= @t49 (tptp.multiply @t26 @t39))) % 158.75/159.08 (define @t51 () (= tptp.a @t23)) % 158.75/159.08 (define @t52 () (and @t27 @t29 @t31 @t33 @t36 @t38 @t40 @t42 @t44 @t46 @t48 @t50)) % 158.75/159.08 (assume @p1 @t4) % 158.75/159.08 (assume @p2 @t6) % 158.75/159.08 (assume @p3 (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 158.75/159.08 (assume @p4 (forall @t12 (= @t11 (tptp.greatest_lower_bound @t8 @t1)))) % 158.75/159.08 (assume @p5 (forall @t12 (= @t13 (tptp.least_upper_bound @t8 @t1)))) % 158.75/159.08 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t14) (tptp.greatest_lower_bound @t11 @t7)))) % 158.75/159.08 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t15) (tptp.least_upper_bound @t13 @t7)))) % 158.75/159.08 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 158.75/159.08 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 158.75/159.08 (assume @p10 (forall @t12 (= (tptp.least_upper_bound @t1 @t11) @t1))) % 158.75/159.08 (assume @p11 (forall @t12 (= (tptp.greatest_lower_bound @t1 @t13) @t1))) % 158.75/159.08 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.least_upper_bound @t9 @t16)))) % 158.75/159.08 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t14) (tptp.greatest_lower_bound @t9 @t16)))) % 158.75/159.08 (assume @p14 (forall @t19 (= (tptp.multiply @t15 @t1) (tptp.least_upper_bound @t18 @t17)))) % 158.75/159.08 (assume @p15 (forall @t19 (= (tptp.multiply @t14 @t1) (tptp.greatest_lower_bound @t18 @t17)))) % 158.75/159.08 (assume @p16 (= @t22 @t20)) % 158.75/159.08 (assume @p17 (not (= @t23 tptp.a))) % 158.75/159.08 (step @p18 :rule symm :premises (@p16)) % 158.75/159.08 (step @p19 :rule symm :premises (@p17)) % 158.75/159.08 (step @p20 :rule eq-symm :args (@t5 tptp.identity)) % 158.75/159.08 (step @p21 :rule cong :premises (@p20) :args (@t6)) % 158.75/159.08 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 158.75/159.08 (step @p23 :rule instantiate :premises (@p22) :args (@t24)) % 158.75/159.08 (step @p24 :rule instantiate :premises (@p22) :args (@t25)) % 158.75/159.08 (step @p25 :rule instantiate :premises (@p5) :args ((@list @t21 @t20))) % 158.75/159.08 (step @p26 :rule instantiate :premises (@p14) :args ((@list @t20 @t21 tptp.b))) % 158.75/159.08 (step @p27 :rule eq-symm :args (@t2 @t1)) % 158.75/159.08 (step @p28 :rule cong :premises (@p27) :args (@t4)) % 158.75/159.08 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 158.75/159.08 (step @p30 :rule instantiate :premises (@p29) :args (@t24)) % 158.75/159.08 (step @p31 :rule instantiate :premises (@p12) :args ((@list @t21 tptp.a tptp.b))) % 158.75/159.08 (step @p32 :rule instantiate :premises (@p29) :args (@t25)) % 158.75/159.08 (step @p33 :rule instantiate :premises (@p22) :args ((@list @t21))) % 158.75/159.08 (step @p34 :rule instantiate :premises (@p12) :args ((@list tptp.identity tptp.a tptp.b))) % 158.75/159.08 (step @p35 :rule instantiate :premises (@p3) :args ((@list @t26 @t21 tptp.a))) % 158.75/159.08 (step @p36 :rule instantiate :premises (@p3) :args ((@list @t26 @t21 @t23))) % 158.75/159.08 (assume-push @p89 @t27) % 158.75/159.08 (assume-push @p90 @t29) % 158.75/159.08 (assume-push @p91 @t31) % 158.75/159.08 (assume-push @p92 @t33) % 158.75/159.08 (assume-push @p93 @t36) % 158.75/159.08 (assume-push @p94 @t38) % 158.75/159.08 (assume-push @p95 @t40) % 158.75/159.08 (assume-push @p96 @t42) % 158.75/159.08 (assume-push @p97 @t44) % 158.75/159.08 (assume-push @p98 @t46) % 158.75/159.08 (assume-push @p99 @t48) % 158.75/159.08 (assume-push @p100 @t50) % 158.75/159.08 (step @p49 :rule symm :premises (@p32)) % 158.75/159.08 (step @p50 :rule symm :premises (@p30)) % 158.75/159.08 (step @p51 :rule cong :premises (@p50 @p49) :args (@t45)) % 158.75/159.08 (step @p52 :rule refl :args (@t23)) % 158.75/159.08 (step @p53 :rule symm :premises (@p33)) % 158.75/159.08 (step @p54 :rule cong :premises (@p53 @p52) :args (@t49)) % 158.75/159.08 (step @p55 :rule symm :premises (@p36)) % 158.75/159.08 (step @p56 :rule symm :premises (@p31)) % 158.75/159.08 (step @p57 :rule refl :args (@t34)) % 158.75/159.08 (step @p58 :rule symm :premises (@p24)) % 158.75/159.08 (step @p59 :rule trans :premises (@p58 @p23)) % 158.75/159.08 (step @p60 :rule cong :premises (@p59 @p57) :args (@t35)) % 158.75/159.08 (step @p61 :rule refl :args (tptp.b)) % 158.75/159.08 (step @p62 :rule trans :premises (@p18 @p25)) % 158.75/159.08 (step @p63 :rule cong :premises (@p62 @p61) :args (@t30)) % 158.75/159.08 (step @p64 :rule symm :premises (@p23)) % 158.75/159.08 (step @p65 :rule trans :premises (@p64 @p24 @p63 @p26 @p60 @p56)) % 158.75/159.08 (step @p66 :rule refl :args (@t26)) % 158.75/159.08 (step @p67 :rule cong :premises (@p66 @p65) :args (@t47)) % 158.75/159.08 (step @p68 :rule refl :args (tptp.a)) % 158.75/159.08 (step @p69 :rule cong :premises (@p33 @p68) :args (@t37)) % 158.75/159.08 (step @p70 :rule trans :premises (@p30 @p69 @p35 @p67 @p55 @p54 @p34 @p51)) % 158.75/159.08 (step-pop @p101 :rule scope :premises (@p70)) % 158.75/159.08 (step-pop @p102 :rule scope :premises (@p101)) % 158.75/159.08 (step-pop @p103 :rule scope :premises (@p102)) % 158.75/159.08 (step-pop @p104 :rule scope :premises (@p103)) % 158.75/159.08 (step-pop @p105 :rule scope :premises (@p104)) % 158.75/159.08 (step-pop @p106 :rule scope :premises (@p105)) % 158.75/159.08 (step-pop @p107 :rule scope :premises (@p106)) % 158.75/159.08 (step-pop @p108 :rule scope :premises (@p107)) % 158.75/159.08 (step-pop @p109 :rule scope :premises (@p108)) % 158.75/159.08 (step-pop @p110 :rule scope :premises (@p109)) % 158.75/159.08 (step-pop @p111 :rule scope :premises (@p110)) % 158.75/159.08 (step-pop @p112 :rule scope :premises (@p111)) % 158.75/159.08 (step @p71 :rule process_scope :premises (@p112) :args (@t51)) % 158.75/159.08 (step @p84 :rule implies_elim :premises (@p71)) % 158.75/159.08 (step @p85 :rule cnf_and_neg :args (@t52)) % 158.75/159.08 (step @p86 :rule resolution :premises (@p85 @p84) :args (true @t52)) % 158.75/159.08 (step @p87 :rule reordering :premises (@p86) :args ((or @t51 (not @t27) (not @t29) (not @t31) (not @t33) (not @t36) (not @t38) (not @t40) (not @t42) (not @t44) (not @t46) (not @t48) (not @t50)))) % 158.75/159.08 (step @p88 false :rule chain_m_resolution :premises (@p87 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p26 @p25 @p24 @p23 @p19 @p18) :args (false (@list false false false false false false false false false false false true false) (@list @t50 @t48 @t46 @t44 @t42 @t40 @t38 @t36 @t33 @t31 @t29 @t51 @t27))) % 158.75/159.08 ) % 158.75/159.08 % SZS output end Proof % 158.75/159.08 % cvc5 exiting %------------------------------------------------------------------------------