%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP167-4 : 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 : n021.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 19.62s 19.84s % Output : Proof 19.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP167-4 : 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 % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 00:55:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.72/15.97 --- Run --no-e-matching --full-saturate-quant at 6... % 19.62/19.84 % SZS status Unsatisfiable % 19.62/19.84 % SZS output start Proof % 19.62/19.84 ( % 19.62/19.84 (declare-sort $$unsorted 0) % 19.62/19.84 (declare-const tptp.a $$unsorted) % 19.62/19.84 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 19.62/19.84 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 19.62/19.84 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 19.62/19.84 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 19.62/19.84 (declare-const tptp.identity $$unsorted) % 19.62/19.84 (define @t1 () (@var "X" $$unsorted)) % 19.62/19.84 (define @t2 () (tptp.multiply tptp.identity @t1)) % 19.62/19.84 (define @t3 () (@list @t1)) % 19.62/19.84 (define @t4 () (forall @t3 (= @t2 @t1))) % 19.62/19.84 (define @t5 () (tptp.inverse @t1)) % 19.62/19.84 (define @t6 () (tptp.multiply @t5 @t1)) % 19.62/19.84 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 19.62/19.84 (define @t8 () (@var "Z" $$unsorted)) % 19.62/19.84 (define @t9 () (@var "Y" $$unsorted)) % 19.62/19.84 (define @t10 () (tptp.multiply @t1 @t9)) % 19.62/19.84 (define @t11 () (@list @t1 @t9 @t8)) % 19.62/19.84 (define @t12 () (tptp.greatest_lower_bound @t1 @t9)) % 19.62/19.84 (define @t13 () (@list @t1 @t9)) % 19.62/19.84 (define @t14 () (tptp.least_upper_bound @t1 @t9)) % 19.62/19.84 (define @t15 () (tptp.greatest_lower_bound @t9 @t8)) % 19.62/19.84 (define @t16 () (tptp.least_upper_bound @t9 @t8)) % 19.62/19.84 (define @t17 () (forall @t11 (= (tptp.least_upper_bound @t1 @t16) (tptp.least_upper_bound @t14 @t8)))) % 19.62/19.84 (define @t18 () (tptp.least_upper_bound @t1 @t12)) % 19.62/19.84 (define @t19 () (forall @t13 (= @t18 @t1))) % 19.62/19.84 (define @t20 () (tptp.greatest_lower_bound @t1 @t14)) % 19.62/19.84 (define @t21 () (forall @t13 (= @t20 @t1))) % 19.62/19.84 (define @t22 () (tptp.multiply @t1 @t8)) % 19.62/19.84 (define @t23 () (tptp.multiply @t8 @t1)) % 19.62/19.84 (define @t24 () (tptp.multiply @t9 @t1)) % 19.62/19.84 (define @t25 () (@list @t9 @t8 @t1)) % 19.62/19.84 (define @t26 () (tptp.inverse tptp.identity)) % 19.62/19.84 (define @t27 () (tptp.inverse @t5)) % 19.62/19.84 (define @t28 () (forall @t3 (= @t27 @t1))) % 19.62/19.84 (define @t29 () (tptp.greatest_lower_bound tptp.a tptp.identity)) % 19.62/19.84 (define @t30 () (tptp.least_upper_bound tptp.a tptp.identity)) % 19.62/19.84 (define @t31 () (tptp.multiply @t30 @t29)) % 19.62/19.84 (define @t32 () (tptp.multiply tptp.identity @t29)) % 19.62/19.84 (define @t33 () (tptp.multiply tptp.a @t29)) % 19.62/19.84 (define @t34 () (tptp.least_upper_bound tptp.a @t33)) % 19.62/19.84 (define @t35 () (tptp.least_upper_bound @t34 @t32)) % 19.62/19.84 (define @t36 () (tptp.least_upper_bound tptp.a (tptp.least_upper_bound @t33 @t32))) % 19.62/19.84 (define @t37 () (= @t36 @t35)) % 19.62/19.84 (define @t38 () (= @t35 @t36)) % 19.62/19.84 (define @t39 () (@list tptp.a @t31)) % 19.62/19.84 (define @t40 () (@list @t30)) % 19.62/19.84 (define @t41 () (tptp.inverse @t30)) % 19.62/19.84 (define @t42 () (tptp.inverse @t41)) % 19.62/19.84 (define @t43 () (@list tptp.a)) % 19.62/19.84 (define @t44 () (tptp.multiply tptp.a tptp.a)) % 19.62/19.84 (define @t45 () (tptp.inverse tptp.a)) % 19.62/19.84 (define @t46 () (tptp.inverse @t45)) % 19.62/19.84 (define @t47 () (tptp.multiply tptp.a tptp.identity)) % 19.62/19.84 (define @t48 () (@list tptp.a tptp.a tptp.identity)) % 19.62/19.84 (define @t49 () (tptp.multiply tptp.identity @t30)) % 19.62/19.84 (define @t50 () (tptp.multiply tptp.a @t30)) % 19.62/19.84 (define @t51 () (tptp.greatest_lower_bound @t50 @t49)) % 19.62/19.84 (define @t52 () (@list tptp.a @t44)) % 19.62/19.84 (define @t53 () (@list tptp.a tptp.identity)) % 19.62/19.84 (assume @p1 @t4) % 19.62/19.84 (assume @p2 @t7) % 19.62/19.84 (assume @p3 (forall @t11 (= (tptp.multiply @t10 @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 19.62/19.84 (assume @p4 (forall @t13 (= @t12 (tptp.greatest_lower_bound @t9 @t1)))) % 19.62/19.84 (assume @p5 (forall @t13 (= @t14 (tptp.least_upper_bound @t9 @t1)))) % 19.62/19.84 (assume @p6 (forall @t11 (= (tptp.greatest_lower_bound @t1 @t15) (tptp.greatest_lower_bound @t12 @t8)))) % 19.62/19.84 (assume @p7 @t17) % 19.62/19.84 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 19.62/19.84 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 19.62/19.84 (assume @p10 @t19) % 19.62/19.84 (assume @p11 @t21) % 19.62/19.84 (assume @p12 (forall @t11 (= (tptp.multiply @t1 @t16) (tptp.least_upper_bound @t10 @t22)))) % 19.62/19.84 (assume @p13 (forall @t11 (= (tptp.multiply @t1 @t15) (tptp.greatest_lower_bound @t10 @t22)))) % 19.62/19.84 (assume @p14 (forall @t25 (= (tptp.multiply @t16 @t1) (tptp.least_upper_bound @t24 @t23)))) % 19.62/19.84 (assume @p15 (forall @t25 (= (tptp.multiply @t15 @t1) (tptp.greatest_lower_bound @t24 @t23)))) % 19.62/19.84 (assume @p16 (= @t26 tptp.identity)) % 19.62/19.84 (assume @p17 @t28) % 19.62/19.84 (assume @p18 (forall @t13 (= (tptp.inverse @t10) (tptp.multiply (tptp.inverse @t9) @t5)))) % 19.62/19.84 (assume @p19 (not (= tptp.a @t31))) % 19.62/19.84 (step @p20 :rule bool-eq-false :args (@t37)) % 19.62/19.84 (step @p21 :rule symm :premises (@p20)) % 19.62/19.84 (step @p22 :rule eq-symm :args (@t35 @t36)) % 19.62/19.84 (step @p23 :rule cong :premises (@p22) :args ((not @t38))) % 19.62/19.84 (step @p24 :rule bool-eq-false :args (@t38)) % 19.62/19.84 (step @p25 :rule trans :premises (@p24 @p23)) % 19.62/19.84 (step @p26 :rule trans :premises (@p25 @p21)) % 19.62/19.84 (step @p27 :rule false_intro :premises (@p19)) % 19.62/19.84 (step @p28 :rule eq-symm :args (@t18 @t1)) % 19.62/19.84 (step @p29 :rule cong :premises (@p28) :args (@t19)) % 19.62/19.84 (step @p30 :rule eq_resolve :premises (@p10 @p29)) % 19.62/19.84 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t31 tptp.a))) % 19.62/19.84 (step @p32 :rule symm :premises (@p31)) % 19.62/19.84 (step @p33 :rule instantiate :premises (@p4) :args (@t39)) % 19.62/19.84 (step @p34 :rule instantiate :premises (@p13) :args ((@list @t30 tptp.a tptp.identity))) % 19.62/19.84 (step @p35 :rule symm :premises (@p34)) % 19.62/19.84 (step @p36 :rule eq-symm :args (@t27 @t1)) % 19.62/19.84 (step @p37 :rule cong :premises (@p36) :args (@t28)) % 19.62/19.84 (step @p38 :rule eq_resolve :premises (@p17 @p37)) % 19.62/19.84 (step @p39 :rule instantiate :premises (@p38) :args (@t40)) % 19.62/19.84 (step @p40 :rule symm :premises (@p39)) % 19.62/19.84 (step @p41 :rule cong :premises (@p40 @p16) :args ((tptp.multiply @t42 @t26))) % 19.62/19.84 (step @p42 :rule instantiate :premises (@p18) :args ((@list tptp.identity @t41))) % 19.62/19.84 (step @p43 :rule eq-symm :args (@t2 @t1)) % 19.62/19.84 (step @p44 :rule cong :premises (@p43) :args (@t4)) % 19.62/19.84 (step @p45 :rule eq_resolve :premises (@p1 @p44)) % 19.62/19.84 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t41))) % 19.62/19.84 (step @p47 :rule cong :premises (@p46) :args (@t42)) % 19.62/19.84 (step @p48 :rule instantiate :premises (@p45) :args (@t40)) % 19.62/19.84 (step @p49 :rule symm :premises (@p48)) % 19.62/19.84 (step @p50 :rule trans :premises (@p49 @p39 @p47 @p42 @p41)) % 19.62/19.84 (step @p51 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.identity tptp.a))) % 19.62/19.84 (step @p52 :rule symm :premises (@p51)) % 19.62/19.84 (step @p53 :rule instantiate :premises (@p45) :args (@t43)) % 19.62/19.84 (step @p54 :rule refl :args (@t44)) % 19.62/19.84 (step @p55 :rule cong :premises (@p54 @p53) :args ((tptp.least_upper_bound @t44 tptp.a))) % 19.62/19.84 (step @p56 :rule symm :premises (@p53)) % 19.62/19.84 (step @p57 :rule refl :args (tptp.a)) % 19.62/19.84 (step @p58 :rule eq-symm :args (@t6 tptp.identity)) % 19.62/19.84 (step @p59 :rule cong :premises (@p58) :args (@t7)) % 19.62/19.84 (step @p60 :rule eq_resolve :premises (@p2 @p59)) % 19.62/19.84 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t45))) % 19.62/19.84 (step @p62 :rule symm :premises (@p61)) % 19.62/19.84 (step @p63 :rule cong :premises (@p62 @p57) :args ((tptp.multiply (tptp.multiply @t46 @t45) tptp.a))) % 19.62/19.84 (step @p64 :rule instantiate :premises (@p3) :args ((@list @t46 @t45 tptp.a))) % 19.62/19.84 (step @p65 :rule symm :premises (@p64)) % 19.62/19.84 (step @p66 :rule instantiate :premises (@p60) :args (@t43)) % 19.62/19.84 (step @p67 :rule instantiate :premises (@p38) :args (@t43)) % 19.62/19.84 (step @p68 :rule cong :premises (@p67 @p66) :args (@t47)) % 19.62/19.84 (step @p69 :rule trans :premises (@p68 @p65 @p63 @p56)) % 19.62/19.84 (step @p70 :rule cong :premises (@p54 @p69) :args ((tptp.least_upper_bound @t44 @t47))) % 19.62/19.84 (step @p71 :rule instantiate :premises (@p12) :args (@t48)) % 19.62/19.84 (step @p72 :rule trans :premises (@p71 @p70 @p55 @p52)) % 19.62/19.84 (step @p73 :rule cong :premises (@p72 @p50) :args (@t51)) % 19.62/19.84 (step @p74 :rule trans :premises (@p73 @p35)) % 19.62/19.84 (step @p75 :rule cong :premises (@p57 @p74) :args ((tptp.greatest_lower_bound tptp.a @t51))) % 19.62/19.84 (step @p76 :rule instantiate :premises (@p6) :args ((@list tptp.a @t50 @t49))) % 19.62/19.84 (step @p77 :rule symm :premises (@p76)) % 19.62/19.84 (step @p78 :rule symm :premises (@p71)) % 19.62/19.84 (step @p79 :rule symm :premises (@p70)) % 19.62/19.84 (step @p80 :rule instantiate :premises (@p5) :args (@t52)) % 19.62/19.84 (step @p81 :rule trans :premises (@p80 @p79 @p78)) % 19.62/19.84 (step @p82 :rule cong :premises (@p57 @p81) :args ((tptp.greatest_lower_bound tptp.a (tptp.least_upper_bound tptp.a @t44)))) % 19.62/19.84 (step @p83 :rule eq-symm :args (@t20 @t1)) % 19.62/19.84 (step @p84 :rule cong :premises (@p83) :args (@t21)) % 19.62/19.84 (step @p85 :rule eq_resolve :premises (@p11 @p84)) % 19.62/19.84 (step @p86 :rule instantiate :premises (@p85) :args (@t52)) % 19.62/19.84 (step @p87 :rule trans :premises (@p86 @p82)) % 19.62/19.84 (step @p88 :rule cong :premises (@p87 @p48) :args ((tptp.greatest_lower_bound tptp.a @t30))) % 19.62/19.84 (step @p89 :rule instantiate :premises (@p85) :args (@t53)) % 19.62/19.84 (step @p90 :rule trans :premises (@p89 @p88 @p77 @p75 @p33)) % 19.62/19.84 (step @p91 :rule refl :args (@t31)) % 19.62/19.84 (step @p92 :rule cong :premises (@p91 @p90) :args ((tptp.least_upper_bound @t31 tptp.a))) % 19.62/19.84 (step @p93 :rule instantiate :premises (@p5) :args (@t39)) % 19.62/19.84 (step @p94 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.identity @t29))) % 19.62/19.84 (step @p95 :rule symm :premises (@p94)) % 19.62/19.84 (step @p96 :rule cong :premises (@p57 @p95) :args (@t36)) % 19.62/19.84 (step @p97 :rule trans :premises (@p96 @p93 @p92 @p32)) % 19.62/19.84 (step @p98 :rule instantiate :premises (@p30) :args (@t53)) % 19.62/19.84 (step @p99 :rule symm :premises (@p98)) % 19.62/19.84 (step @p100 :rule instantiate :premises (@p45) :args ((@list @t29))) % 19.62/19.84 (step @p101 :rule symm :premises (@p100)) % 19.62/19.84 (step @p102 :rule instantiate :premises (@p30) :args (@t52)) % 19.62/19.84 (step @p103 :rule symm :premises (@p102)) % 19.62/19.84 (step @p104 :rule instantiate :premises (@p4) :args (@t52)) % 19.62/19.84 (step @p105 :rule symm :premises (@p104)) % 19.62/19.84 (step @p106 :rule cong :premises (@p54 @p69) :args ((tptp.greatest_lower_bound @t44 @t47))) % 19.62/19.84 (step @p107 :rule instantiate :premises (@p13) :args (@t48)) % 19.62/19.84 (step @p108 :rule trans :premises (@p107 @p106 @p105)) % 19.62/19.84 (step @p109 :rule cong :premises (@p57 @p108) :args (@t34)) % 19.62/19.84 (step @p110 :rule trans :premises (@p109 @p103)) % 19.62/19.84 (step @p111 :rule cong :premises (@p110 @p101) :args (@t35)) % 19.62/19.84 (step @p112 :rule trans :premises (@p111 @p99)) % 19.62/19.84 (step @p113 :rule cong :premises (@p112 @p97) :args (@t38)) % 19.62/19.84 (step @p114 :rule trans :premises (@p113 @p27)) % 19.62/19.84 (step @p115 :rule eq_resolve :premises (@p114 @p26)) % 19.62/19.84 (step @p116 :rule false_elim :premises (@p115)) % 19.62/19.84 (assume-push @p123 @t17) % 19.62/19.84 (step @p118 :rule instantiate :premises (@p7) :args ((@list tptp.a @t33 @t32))) % 19.62/19.84 (step-pop @p124 :rule scope :premises (@p118)) % 19.62/19.84 (step @p119 :rule process_scope :premises (@p124) :args (@t37)) % 19.62/19.84 (step @p121 :rule implies_elim :premises (@p119)) % 19.62/19.84 (step @p122 false :rule chain_m_resolution :premises (@p121 @p116 @p7) :args (false (@list true false) (@list @t37 @t17))) % 19.62/19.84 ) % 19.62/19.85 % SZS output end Proof % 19.62/19.85 % cvc5 exiting %------------------------------------------------------------------------------