%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP184-4 : 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 : n022.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 0.52s 0.75s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP184-4 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n022.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 00:55:08 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.75 % SZS status Unsatisfiable % 0.52/0.75 % SZS output start Proof % 0.52/0.75 ( % 0.52/0.75 (declare-sort $$unsorted 0) % 0.52/0.75 (declare-const tptp.a $$unsorted) % 0.52/0.75 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.identity $$unsorted) % 0.52/0.75 (define @t1 () (@var "X" $$unsorted)) % 0.52/0.75 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.52/0.75 (define @t3 () (@list @t1)) % 0.52/0.75 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.52/0.75 (define @t5 () (tptp.inverse @t1)) % 0.52/0.75 (define @t6 () (tptp.multiply @t5 @t1)) % 0.52/0.75 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 0.52/0.75 (define @t8 () (@var "Z" $$unsorted)) % 0.52/0.75 (define @t9 () (@var "Y" $$unsorted)) % 0.52/0.75 (define @t10 () (tptp.multiply @t1 @t9)) % 0.52/0.75 (define @t11 () (@list @t1 @t9 @t8)) % 0.52/0.75 (define @t12 () (forall @t11 (= (tptp.multiply @t10 @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 0.52/0.75 (define @t13 () (tptp.greatest_lower_bound @t1 @t9)) % 0.52/0.75 (define @t14 () (@list @t1 @t9)) % 0.52/0.75 (define @t15 () (tptp.least_upper_bound @t1 @t9)) % 0.52/0.75 (define @t16 () (tptp.greatest_lower_bound @t9 @t8)) % 0.52/0.75 (define @t17 () (tptp.least_upper_bound @t9 @t8)) % 0.52/0.75 (define @t18 () (tptp.multiply @t1 @t8)) % 0.52/0.75 (define @t19 () (tptp.multiply @t8 @t1)) % 0.52/0.75 (define @t20 () (tptp.multiply @t9 @t1)) % 0.52/0.75 (define @t21 () (@list @t9 @t8 @t1)) % 0.52/0.75 (define @t22 () (tptp.inverse tptp.identity)) % 0.52/0.75 (define @t23 () (tptp.inverse @t5)) % 0.52/0.75 (define @t24 () (forall @t3 (= @t23 @t1))) % 0.52/0.75 (define @t25 () (tptp.inverse @t9)) % 0.52/0.75 (define @t26 () (tptp.least_upper_bound tptp.a tptp.identity)) % 0.52/0.75 (define @t27 () (tptp.greatest_lower_bound tptp.a tptp.identity)) % 0.52/0.75 (define @t28 () (tptp.inverse @t27)) % 0.52/0.75 (define @t29 () (tptp.inverse tptp.a)) % 0.52/0.75 (define @t30 () (tptp.multiply @t26 (tptp.multiply @t29 @t26))) % 0.52/0.75 (define @t31 () (tptp.multiply (tptp.multiply @t26 @t29) @t26)) % 0.52/0.75 (define @t32 () (= @t31 @t30)) % 0.52/0.75 (define @t33 () (= @t30 @t31)) % 0.52/0.75 (define @t34 () (@list tptp.a tptp.identity)) % 0.52/0.75 (define @t35 () (tptp.least_upper_bound @t29 @t22)) % 0.52/0.75 (define @t36 () (tptp.multiply tptp.identity @t29)) % 0.52/0.75 (define @t37 () (@list tptp.a)) % 0.52/0.75 (define @t38 () (tptp.multiply @t22 tptp.a)) % 0.52/0.75 (define @t39 () (tptp.multiply @t22 tptp.identity)) % 0.52/0.75 (define @t40 () (tptp.multiply @t29 tptp.a)) % 0.52/0.75 (define @t41 () (tptp.multiply @t28 tptp.a)) % 0.52/0.75 (define @t42 () (@list @t29)) % 0.52/0.75 (define @t43 () (tptp.multiply tptp.a @t29)) % 0.52/0.75 (define @t44 () (tptp.multiply @t29 tptp.identity)) % 0.52/0.75 (assume @p1 @t4) % 0.52/0.75 (assume @p2 @t7) % 0.52/0.75 (assume @p3 @t12) % 0.52/0.75 (assume @p4 (forall @t14 (= @t13 (tptp.greatest_lower_bound @t9 @t1)))) % 0.52/0.75 (assume @p5 (forall @t14 (= @t15 (tptp.least_upper_bound @t9 @t1)))) % 0.52/0.75 (assume @p6 (forall @t11 (= (tptp.greatest_lower_bound @t1 @t16) (tptp.greatest_lower_bound @t13 @t8)))) % 0.52/0.75 (assume @p7 (forall @t11 (= (tptp.least_upper_bound @t1 @t17) (tptp.least_upper_bound @t15 @t8)))) % 0.52/0.75 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.52/0.75 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.52/0.75 (assume @p10 (forall @t14 (= (tptp.least_upper_bound @t1 @t13) @t1))) % 0.52/0.75 (assume @p11 (forall @t14 (= (tptp.greatest_lower_bound @t1 @t15) @t1))) % 0.52/0.75 (assume @p12 (forall @t11 (= (tptp.multiply @t1 @t17) (tptp.least_upper_bound @t10 @t18)))) % 0.52/0.75 (assume @p13 (forall @t11 (= (tptp.multiply @t1 @t16) (tptp.greatest_lower_bound @t10 @t18)))) % 0.52/0.75 (assume @p14 (forall @t21 (= (tptp.multiply @t17 @t1) (tptp.least_upper_bound @t20 @t19)))) % 0.52/0.75 (assume @p15 (forall @t21 (= (tptp.multiply @t16 @t1) (tptp.greatest_lower_bound @t20 @t19)))) % 0.52/0.75 (assume @p16 (= @t22 tptp.identity)) % 0.52/0.75 (assume @p17 @t24) % 0.52/0.75 (assume @p18 (forall @t14 (= (tptp.inverse @t10) (tptp.multiply @t25 @t5)))) % 0.52/0.75 (assume @p19 (forall @t14 (= (tptp.inverse @t13) (tptp.least_upper_bound @t5 @t25)))) % 0.52/0.75 (assume @p20 (forall @t14 (= (tptp.inverse @t15) (tptp.greatest_lower_bound @t5 @t25)))) % 0.52/0.75 (assume @p21 (not (= (tptp.multiply @t26 @t28) (tptp.multiply @t28 @t26)))) % 0.52/0.75 (step @p22 :rule bool-eq-false :args (@t32)) % 0.52/0.75 (step @p23 :rule symm :premises (@p22)) % 0.52/0.75 (step @p24 :rule eq-symm :args (@t30 @t31)) % 0.52/0.75 (step @p25 :rule cong :premises (@p24) :args ((not @t33))) % 0.52/0.75 (step @p26 :rule bool-eq-false :args (@t33)) % 0.52/0.75 (step @p27 :rule trans :premises (@p26 @p25)) % 0.52/0.75 (step @p28 :rule trans :premises (@p27 @p23)) % 0.52/0.75 (step @p29 :rule false_intro :premises (@p21)) % 0.52/0.75 (step @p30 :rule refl :args (@t26)) % 0.52/0.75 (step @p31 :rule eq-symm :args (@t2 @t1)) % 0.52/0.75 (step @p32 :rule cong :premises (@p31) :args (@t4)) % 0.52/0.75 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.52/0.75 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t28))) % 0.52/0.75 (step @p35 :rule symm :premises (@p34)) % 0.52/0.75 (step @p36 :rule refl :args (@t28)) % 0.52/0.75 (step @p37 :rule cong :premises (@p16 @p36) :args ((tptp.multiply @t22 @t28))) % 0.52/0.75 (step @p38 :rule trans :premises (@p37 @p35)) % 0.52/0.75 (step @p39 :rule symm :premises (@p37)) % 0.52/0.75 (step @p40 :rule instantiate :premises (@p19) :args (@t34)) % 0.52/0.75 (step @p41 :rule symm :premises (@p40)) % 0.52/0.75 (step @p42 :rule refl :args (tptp.identity)) % 0.52/0.75 (step @p43 :rule cong :premises (@p42 @p41) :args ((tptp.multiply tptp.identity @t35))) % 0.52/0.75 (step @p44 :rule instantiate :premises (@p12) :args ((@list tptp.identity @t29 @t22))) % 0.52/0.75 (step @p45 :rule symm :premises (@p44)) % 0.52/0.75 (step @p46 :rule trans :premises (@p45 @p43 @p39)) % 0.52/0.75 (step @p47 :rule trans :premises (@p46 @p38)) % 0.52/0.75 (step @p48 :rule cong :premises (@p47 @p30) :args ((tptp.multiply (tptp.least_upper_bound @t36 (tptp.multiply tptp.identity @t22)) @t26))) % 0.52/0.75 (step @p49 :rule instantiate :premises (@p5) :args (@t34)) % 0.52/0.75 (step @p50 :rule symm :premises (@p49)) % 0.52/0.75 (step @p51 :rule instantiate :premises (@p33) :args (@t37)) % 0.52/0.75 (step @p52 :rule symm :premises (@p51)) % 0.52/0.75 (step @p53 :rule refl :args (tptp.a)) % 0.52/0.75 (step @p54 :rule cong :premises (@p16 @p53) :args (@t38)) % 0.52/0.75 (step @p55 :rule trans :premises (@p54 @p52)) % 0.52/0.75 (step @p56 :rule eq-symm :args (@t6 tptp.identity)) % 0.52/0.75 (step @p57 :rule cong :premises (@p56) :args (@t7)) % 0.52/0.75 (step @p58 :rule eq_resolve :premises (@p2 @p57)) % 0.52/0.75 (step @p59 :rule instantiate :premises (@p58) :args ((@list tptp.identity))) % 0.52/0.75 (step @p60 :rule symm :premises (@p59)) % 0.52/0.75 (step @p61 :rule cong :premises (@p60 @p55) :args ((tptp.least_upper_bound @t39 @t38))) % 0.52/0.75 (step @p62 :rule refl :args (@t38)) % 0.52/0.75 (step @p63 :rule instantiate :premises (@p58) :args (@t37)) % 0.52/0.75 (step @p64 :rule symm :premises (@p63)) % 0.52/0.75 (step @p65 :rule trans :premises (@p64 @p59)) % 0.52/0.75 (step @p66 :rule cong :premises (@p65 @p62) :args ((tptp.least_upper_bound @t40 @t38))) % 0.52/0.75 (step @p67 :rule instantiate :premises (@p14) :args ((@list @t29 @t22 tptp.a))) % 0.52/0.75 (step @p68 :rule cong :premises (@p40 @p53) :args (@t41)) % 0.52/0.75 (step @p69 :rule trans :premises (@p68 @p67 @p66 @p61 @p50)) % 0.52/0.75 (step @p70 :rule symm :premises (@p47)) % 0.52/0.75 (step @p71 :rule cong :premises (@p70 @p69) :args ((tptp.multiply @t28 @t41))) % 0.52/0.75 (step @p72 :rule symm :premises (@p69)) % 0.52/0.75 (step @p73 :rule instantiate :premises (@p5) :args ((@list @t29 @t22))) % 0.52/0.75 (step @p74 :rule symm :premises (@p73)) % 0.52/0.75 (step @p75 :rule instantiate :premises (@p33) :args (@t42)) % 0.52/0.75 (step @p76 :rule symm :premises (@p75)) % 0.52/0.75 (step @p77 :rule symm :premises (@p16)) % 0.52/0.75 (step @p78 :rule instantiate :premises (@p58) :args (@t42)) % 0.52/0.75 (step @p79 :rule symm :premises (@p78)) % 0.52/0.75 (step @p80 :rule refl :args (@t29)) % 0.52/0.75 (step @p81 :rule eq-symm :args (@t23 @t1)) % 0.52/0.75 (step @p82 :rule cong :premises (@p81) :args (@t24)) % 0.52/0.75 (step @p83 :rule eq_resolve :premises (@p17 @p82)) % 0.52/0.75 (step @p84 :rule instantiate :premises (@p83) :args (@t37)) % 0.52/0.75 (step @p85 :rule cong :premises (@p84 @p80) :args (@t43)) % 0.52/0.75 (step @p86 :rule cong :premises (@p53 @p76) :args ((tptp.multiply tptp.a @t36))) % 0.52/0.75 (step @p87 :rule trans :premises (@p86 @p85 @p79)) % 0.52/0.75 (step @p88 :rule symm :premises (@p86)) % 0.52/0.75 (step @p89 :rule trans :premises (@p88 @p87 @p77)) % 0.52/0.75 (step @p90 :rule cong :premises (@p89 @p76) :args ((tptp.least_upper_bound @t43 @t36))) % 0.52/0.75 (step @p91 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.identity @t29))) % 0.52/0.75 (step @p92 :rule trans :premises (@p91 @p90 @p74 @p41 @p34 @p39)) % 0.52/0.75 (step @p93 :rule trans :premises (@p92 @p38)) % 0.52/0.75 (step @p94 :rule cong :premises (@p93 @p72) :args (@t31)) % 0.52/0.75 (step @p95 :rule trans :premises (@p94 @p71 @p48)) % 0.52/0.75 (step @p96 :rule cong :premises (@p50 @p36) :args ((tptp.multiply (tptp.least_upper_bound tptp.identity tptp.a) @t28))) % 0.52/0.75 (step @p97 :rule instantiate :premises (@p33) :args ((@list @t27))) % 0.52/0.75 (step @p98 :rule symm :premises (@p97)) % 0.52/0.75 (step @p99 :rule cong :premises (@p98) :args ((tptp.inverse (tptp.multiply tptp.identity @t27)))) % 0.52/0.75 (step @p100 :rule instantiate :premises (@p18) :args ((@list tptp.identity @t27))) % 0.52/0.75 (step @p101 :rule symm :premises (@p100)) % 0.52/0.75 (step @p102 :rule cong :premises (@p36 @p77) :args ((tptp.multiply @t28 tptp.identity))) % 0.52/0.75 (step @p103 :rule cong :premises (@p41 @p42) :args ((tptp.multiply @t35 tptp.identity))) % 0.52/0.75 (step @p104 :rule instantiate :premises (@p14) :args ((@list @t29 @t22 tptp.identity))) % 0.52/0.75 (step @p105 :rule symm :premises (@p104)) % 0.52/0.75 (step @p106 :rule instantiate :premises (@p5) :args ((@list @t44 @t39))) % 0.52/0.75 (step @p107 :rule symm :premises (@p106)) % 0.52/0.75 (step @p108 :rule refl :args (@t44)) % 0.52/0.75 (step @p109 :rule cong :premises (@p65 @p108) :args ((tptp.least_upper_bound @t40 @t44))) % 0.52/0.75 (step @p110 :rule instantiate :premises (@p12) :args ((@list @t29 tptp.a tptp.identity))) % 0.52/0.75 (step @p111 :rule trans :premises (@p110 @p109 @p107 @p105 @p103 @p102 @p101 @p99)) % 0.52/0.75 (step @p112 :rule cong :premises (@p49 @p111) :args (@t30)) % 0.52/0.75 (step @p113 :rule trans :premises (@p112 @p96)) % 0.52/0.75 (step @p114 :rule cong :premises (@p113 @p95) :args (@t33)) % 0.52/0.75 (step @p115 :rule trans :premises (@p114 @p29)) % 0.52/0.75 (step @p116 :rule eq_resolve :premises (@p115 @p28)) % 0.52/0.75 (step @p117 :rule false_elim :premises (@p116)) % 0.52/0.75 (assume-push @p124 @t12) % 0.52/0.75 (step @p119 :rule instantiate :premises (@p3) :args ((@list @t26 @t29 @t26))) % 0.52/0.75 (step-pop @p125 :rule scope :premises (@p119)) % 0.52/0.75 (step @p120 :rule process_scope :premises (@p125) :args (@t32)) % 0.52/0.75 (step @p122 :rule implies_elim :premises (@p120)) % 0.52/0.75 (step @p123 false :rule chain_m_resolution :premises (@p122 @p117 @p3) :args (false (@list true false) (@list @t32 @t12))) % 0.52/0.75 ) % 0.52/0.75 % SZS output end Proof % 0.52/0.75 % cvc5 exiting %------------------------------------------------------------------------------