%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP186-3 : 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 : n028.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 204.38s 204.89s % Output : Proof 204.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP186-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n028.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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:56:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.94/16.19 --- Run --no-e-matching --full-saturate-quant at 6... % 22.01/22.22 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.02/28.24 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.01/34.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.49/64.70 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.66/79.94 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 113.03/113.35 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.34/128.60 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.60/159.01 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 173.91/174.27 --- Run --relevant-triggers --full-saturate-quant at 30... % 204.28/204.68 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.38/204.89 % SZS status Unsatisfiable % 204.38/204.89 % SZS output start Proof % 204.38/204.90 ( % 204.38/204.90 (declare-sort $$unsorted 0) % 204.38/204.90 (declare-const tptp.a $$unsorted) % 204.38/204.90 (declare-const tptp.b $$unsorted) % 204.38/204.90 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 204.38/204.90 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 204.38/204.90 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 204.38/204.90 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 204.38/204.90 (declare-const tptp.identity $$unsorted) % 204.38/204.90 (define @t1 () (@var "X" $$unsorted)) % 204.38/204.90 (define @t2 () (tptp.multiply tptp.identity @t1)) % 204.38/204.90 (define @t3 () (@list @t1)) % 204.38/204.90 (define @t4 () (forall @t3 (= @t2 @t1))) % 204.38/204.90 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 204.38/204.90 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 204.38/204.90 (define @t7 () (@var "Z" $$unsorted)) % 204.38/204.90 (define @t8 () (@var "Y" $$unsorted)) % 204.38/204.90 (define @t9 () (tptp.multiply @t1 @t8)) % 204.38/204.90 (define @t10 () (@list @t1 @t8 @t7)) % 204.38/204.90 (define @t11 () (tptp.greatest_lower_bound @t1 @t8)) % 204.38/204.90 (define @t12 () (@list @t1 @t8)) % 204.38/204.90 (define @t13 () (tptp.least_upper_bound @t1 @t8)) % 204.38/204.90 (define @t14 () (tptp.greatest_lower_bound @t8 @t7)) % 204.38/204.90 (define @t15 () (tptp.least_upper_bound @t8 @t7)) % 204.38/204.90 (define @t16 () (tptp.multiply @t1 @t7)) % 204.38/204.90 (define @t17 () (tptp.multiply @t7 @t1)) % 204.38/204.90 (define @t18 () (tptp.multiply @t8 @t1)) % 204.38/204.90 (define @t19 () (@list @t8 @t7 @t1)) % 204.38/204.90 (define @t20 () (tptp.inverse tptp.a)) % 204.38/204.90 (define @t21 () (tptp.least_upper_bound @t20 tptp.b)) % 204.38/204.90 (define @t22 () (tptp.multiply tptp.a tptp.b)) % 204.38/204.90 (define @t23 () (tptp.least_upper_bound @t22 tptp.identity)) % 204.38/204.90 (define @t24 () (= @t23 (tptp.multiply tptp.a @t21))) % 204.38/204.90 (define @t25 () (@list tptp.b)) % 204.38/204.90 (define @t26 () (@list tptp.a)) % 204.38/204.90 (define @t27 () (tptp.inverse @t20)) % 204.38/204.90 (define @t28 () (tptp.multiply @t20 tptp.a)) % 204.38/204.90 (define @t29 () (tptp.multiply (tptp.inverse tptp.b) tptp.b)) % 204.38/204.90 (define @t30 () (= tptp.identity @t29)) % 204.38/204.90 (define @t31 () (= tptp.b (tptp.multiply tptp.identity tptp.b))) % 204.38/204.90 (define @t32 () (tptp.multiply tptp.identity @t21)) % 204.38/204.90 (define @t33 () (= @t21 @t32)) % 204.38/204.90 (define @t34 () (tptp.least_upper_bound tptp.b @t20)) % 204.38/204.90 (define @t35 () (= @t21 @t34)) % 204.38/204.90 (define @t36 () (tptp.multiply @t27 @t20)) % 204.38/204.90 (define @t37 () (= tptp.identity @t36)) % 204.38/204.90 (define @t38 () (= tptp.identity @t28)) % 204.38/204.90 (define @t39 () (tptp.multiply tptp.identity tptp.a)) % 204.38/204.90 (define @t40 () (= tptp.a @t39)) % 204.38/204.90 (define @t41 () (tptp.multiply @t20 @t22)) % 204.38/204.90 (define @t42 () (tptp.multiply @t28 tptp.b)) % 204.38/204.90 (define @t43 () (= @t42 @t41)) % 204.38/204.90 (define @t44 () (tptp.multiply @t27 @t41)) % 204.38/204.90 (define @t45 () (= (tptp.multiply @t36 @t22) @t44)) % 204.38/204.90 (define @t46 () (tptp.multiply @t27 @t28)) % 204.38/204.90 (define @t47 () (tptp.multiply @t36 tptp.a)) % 204.38/204.90 (define @t48 () (= @t47 @t46)) % 204.38/204.90 (define @t49 () (tptp.multiply @t46 @t21)) % 204.38/204.90 (define @t50 () (= @t49 (tptp.multiply @t27 (tptp.multiply @t28 @t21)))) % 204.38/204.90 (define @t51 () (tptp.multiply @t27 @t34)) % 204.38/204.90 (define @t52 () (= @t51 (tptp.least_upper_bound (tptp.multiply @t27 tptp.b) @t36))) % 204.38/204.90 (define @t53 () (tptp.multiply tptp.identity @t22)) % 204.38/204.90 (define @t54 () (= (tptp.multiply @t39 tptp.b) @t53)) % 204.38/204.90 (define @t55 () (and @t30 @t31 @t33 @t35 @t37 @t38 @t40 @t43 @t45 @t48 @t50 @t52 @t54)) % 204.38/204.90 (assume @p1 @t4) % 204.38/204.90 (assume @p2 @t6) % 204.38/204.90 (assume @p3 (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 204.38/204.90 (assume @p4 (forall @t12 (= @t11 (tptp.greatest_lower_bound @t8 @t1)))) % 204.38/204.90 (assume @p5 (forall @t12 (= @t13 (tptp.least_upper_bound @t8 @t1)))) % 204.38/204.90 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t14) (tptp.greatest_lower_bound @t11 @t7)))) % 204.38/204.90 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t15) (tptp.least_upper_bound @t13 @t7)))) % 204.38/204.90 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 204.38/204.90 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 204.38/204.90 (assume @p10 (forall @t12 (= (tptp.least_upper_bound @t1 @t11) @t1))) % 204.38/204.90 (assume @p11 (forall @t12 (= (tptp.greatest_lower_bound @t1 @t13) @t1))) % 204.38/204.90 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.least_upper_bound @t9 @t16)))) % 204.38/204.90 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t14) (tptp.greatest_lower_bound @t9 @t16)))) % 204.38/204.90 (assume @p14 (forall @t19 (= (tptp.multiply @t15 @t1) (tptp.least_upper_bound @t18 @t17)))) % 204.38/204.90 (assume @p15 (forall @t19 (= (tptp.multiply @t14 @t1) (tptp.greatest_lower_bound @t18 @t17)))) % 204.38/204.90 (assume @p16 (not @t24)) % 204.38/204.90 (step @p17 :rule eq-symm :args (@t5 tptp.identity)) % 204.38/204.90 (step @p18 :rule cong :premises (@p17) :args (@t6)) % 204.38/204.90 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 204.38/204.90 (step @p20 :rule instantiate :premises (@p19) :args (@t25)) % 204.38/204.90 (step @p21 :rule eq-symm :args (@t2 @t1)) % 204.38/204.90 (step @p22 :rule cong :premises (@p21) :args (@t4)) % 204.38/204.90 (step @p23 :rule eq_resolve :premises (@p1 @p22)) % 204.38/204.90 (step @p24 :rule instantiate :premises (@p23) :args (@t25)) % 204.38/204.90 (step @p25 :rule instantiate :premises (@p23) :args ((@list @t21))) % 204.38/204.90 (step @p26 :rule instantiate :premises (@p5) :args ((@list @t20 tptp.b))) % 204.38/204.90 (step @p27 :rule instantiate :premises (@p19) :args ((@list @t20))) % 204.38/204.90 (step @p28 :rule instantiate :premises (@p19) :args (@t26)) % 204.38/204.90 (step @p29 :rule instantiate :premises (@p23) :args (@t26)) % 204.38/204.90 (step @p30 :rule instantiate :premises (@p3) :args ((@list @t20 tptp.a tptp.b))) % 204.38/204.90 (step @p31 :rule instantiate :premises (@p3) :args ((@list @t27 @t20 @t22))) % 204.38/204.90 (step @p32 :rule instantiate :premises (@p3) :args ((@list @t27 @t20 tptp.a))) % 204.38/204.90 (step @p33 :rule instantiate :premises (@p3) :args ((@list @t27 @t28 @t21))) % 204.38/204.90 (step @p34 :rule instantiate :premises (@p12) :args ((@list @t27 tptp.b @t20))) % 204.38/204.90 (step @p35 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.a tptp.b))) % 204.38/204.90 (assume-push @p99 @t30) % 204.38/204.90 (assume-push @p100 @t31) % 204.38/204.90 (assume-push @p101 @t33) % 204.38/204.90 (assume-push @p102 @t35) % 204.38/204.90 (assume-push @p103 @t37) % 204.38/204.90 (assume-push @p104 @t38) % 204.38/204.90 (assume-push @p105 @t40) % 204.38/204.90 (assume-push @p106 @t43) % 204.38/204.90 (assume-push @p107 @t45) % 204.38/204.90 (assume-push @p108 @t48) % 204.38/204.90 (assume-push @p109 @t50) % 204.38/204.90 (assume-push @p110 @t52) % 204.38/204.90 (assume-push @p111 @t54) % 204.38/204.90 (step @p49 :rule refl :args (@t21)) % 204.38/204.90 (step @p50 :rule symm :premises (@p29)) % 204.38/204.90 (step @p51 :rule refl :args (tptp.a)) % 204.38/204.90 (step @p52 :rule symm :premises (@p27)) % 204.38/204.90 (step @p53 :rule cong :premises (@p52 @p51) :args (@t47)) % 204.38/204.90 (step @p54 :rule symm :premises (@p32)) % 204.38/204.90 (step @p55 :rule trans :premises (@p54 @p53 @p50)) % 204.38/204.90 (step @p56 :rule cong :premises (@p55 @p49) :args (@t49)) % 204.38/204.90 (step @p57 :rule symm :premises (@p33)) % 204.38/204.90 (step @p58 :rule cong :premises (@p28 @p49) :args (@t32)) % 204.38/204.90 (step @p59 :rule symm :premises (@p26)) % 204.38/204.90 (step @p60 :rule trans :premises (@p59 @p25 @p58)) % 204.38/204.90 (step @p61 :rule refl :args (@t27)) % 204.38/204.90 (step @p62 :rule cong :premises (@p61 @p60) :args (@t51)) % 204.38/204.90 (step @p63 :rule symm :premises (@p34)) % 204.38/204.90 (step @p64 :rule symm :premises (@p24)) % 204.38/204.90 (step @p65 :rule refl :args (tptp.b)) % 204.38/204.90 (step @p66 :rule symm :premises (@p20)) % 204.38/204.90 (step @p67 :rule cong :premises (@p66 @p65) :args ((tptp.multiply @t29 tptp.b))) % 204.38/204.90 (step @p68 :rule symm :premises (@p28)) % 204.38/204.90 (step @p69 :rule trans :premises (@p68 @p20)) % 204.38/204.90 (step @p70 :rule cong :premises (@p69 @p65) :args (@t42)) % 204.38/204.90 (step @p71 :rule symm :premises (@p30)) % 204.38/204.90 (step @p72 :rule trans :premises (@p71 @p70 @p67 @p64)) % 204.38/204.90 (step @p73 :rule cong :premises (@p61 @p72) :args (@t44)) % 204.38/204.90 (step @p74 :rule refl :args (@t22)) % 204.38/204.90 (step @p75 :rule cong :premises (@p27 @p74) :args (@t53)) % 204.38/204.90 (step @p76 :rule cong :premises (@p29 @p65) :args (@t22)) % 204.38/204.90 (step @p77 :rule trans :premises (@p76 @p35 @p75 @p31 @p73)) % 204.38/204.90 (step @p78 :rule cong :premises (@p77 @p27) :args (@t23)) % 204.38/204.90 (step @p79 :rule trans :premises (@p78 @p63 @p62 @p57 @p56)) % 204.38/204.90 (step-pop @p112 :rule scope :premises (@p79)) % 204.38/204.90 (step-pop @p113 :rule scope :premises (@p112)) % 204.38/204.90 (step-pop @p114 :rule scope :premises (@p113)) % 204.38/204.90 (step-pop @p115 :rule scope :premises (@p114)) % 204.38/204.90 (step-pop @p116 :rule scope :premises (@p115)) % 204.38/204.90 (step-pop @p117 :rule scope :premises (@p116)) % 204.38/204.90 (step-pop @p118 :rule scope :premises (@p117)) % 204.38/204.90 (step-pop @p119 :rule scope :premises (@p118)) % 204.38/204.90 (step-pop @p120 :rule scope :premises (@p119)) % 204.38/204.90 (step-pop @p121 :rule scope :premises (@p120)) % 204.38/204.90 (step-pop @p122 :rule scope :premises (@p121)) % 204.38/204.90 (step-pop @p123 :rule scope :premises (@p122)) % 204.38/204.90 (step-pop @p124 :rule scope :premises (@p123)) % 204.38/204.90 (step @p80 :rule process_scope :premises (@p124) :args (@t24)) % 204.38/204.90 (step @p94 :rule implies_elim :premises (@p80)) % 204.38/204.90 (step @p95 :rule cnf_and_neg :args (@t55)) % 204.38/204.90 (step @p96 :rule resolution :premises (@p95 @p94) :args (true @t55)) % 204.38/204.90 (step @p97 :rule reordering :premises (@p96) :args ((or @t24 (not @t30) (not @t31) (not @t33) (not @t35) (not @t37) (not @t38) (not @t40) (not @t43) (not @t45) (not @t48) (not @t50) (not @t52) (not @t54)))) % 204.38/204.90 (step @p98 false :rule chain_m_resolution :premises (@p97 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p20 @p16) :args (false (@list false false false false false false false false false false false false false true) (@list @t54 @t52 @t50 @t48 @t45 @t43 @t40 @t38 @t37 @t35 @t33 @t31 @t30 @t24))) % 204.38/204.90 ) % 204.38/204.90 % SZS output end Proof % 204.38/204.90 % cvc5 exiting %------------------------------------------------------------------------------