%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP167-2 : 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 : n019.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 17.24s 17.43s % Output : Proof 17.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP167-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n019.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 00:54:34 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.98/16.13 --- Run --no-e-matching --full-saturate-quant at 6... % 17.24/17.43 % SZS status Unsatisfiable % 17.24/17.43 % SZS output start Proof % 17.24/17.43 ( % 17.24/17.43 (declare-sort $$unsorted 0) % 17.24/17.43 (declare-const tptp.a $$unsorted) % 17.24/17.43 (declare-const tptp.negative_part (-> $$unsorted $$unsorted)) % 17.24/17.43 (declare-const tptp.positive_part (-> $$unsorted $$unsorted)) % 17.24/17.43 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 17.24/17.43 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 17.24/17.43 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 17.24/17.43 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 17.24/17.43 (declare-const tptp.identity $$unsorted) % 17.24/17.43 (define @t1 () (@var "X" $$unsorted)) % 17.24/17.43 (define @t2 () (tptp.multiply tptp.identity @t1)) % 17.24/17.43 (define @t3 () (@list @t1)) % 17.24/17.43 (define @t4 () (forall @t3 (= @t2 @t1))) % 17.24/17.43 (define @t5 () (tptp.inverse @t1)) % 17.24/17.43 (define @t6 () (@var "Z" $$unsorted)) % 17.24/17.43 (define @t7 () (@var "Y" $$unsorted)) % 17.24/17.43 (define @t8 () (tptp.multiply @t1 @t7)) % 17.24/17.43 (define @t9 () (@list @t1 @t7 @t6)) % 17.24/17.43 (define @t10 () (tptp.greatest_lower_bound @t1 @t7)) % 17.24/17.43 (define @t11 () (@list @t1 @t7)) % 17.24/17.43 (define @t12 () (tptp.least_upper_bound @t1 @t7)) % 17.24/17.43 (define @t13 () (tptp.greatest_lower_bound @t7 @t6)) % 17.24/17.43 (define @t14 () (forall @t9 (= (tptp.greatest_lower_bound @t1 @t13) (tptp.greatest_lower_bound @t10 @t6)))) % 17.24/17.43 (define @t15 () (tptp.least_upper_bound @t7 @t6)) % 17.24/17.43 (define @t16 () (tptp.least_upper_bound @t1 @t10)) % 17.24/17.43 (define @t17 () (forall @t11 (= @t16 @t1))) % 17.24/17.43 (define @t18 () (tptp.greatest_lower_bound @t1 @t12)) % 17.24/17.43 (define @t19 () (forall @t11 (= @t18 @t1))) % 17.24/17.43 (define @t20 () (tptp.multiply @t1 @t6)) % 17.24/17.43 (define @t21 () (tptp.multiply @t6 @t1)) % 17.24/17.43 (define @t22 () (tptp.multiply @t7 @t1)) % 17.24/17.43 (define @t23 () (@list @t7 @t6 @t1)) % 17.24/17.43 (define @t24 () (tptp.inverse @t5)) % 17.24/17.43 (define @t25 () (forall @t3 (= @t24 @t1))) % 17.24/17.43 (define @t26 () (tptp.negative_part tptp.a)) % 17.24/17.43 (define @t27 () (tptp.positive_part tptp.a)) % 17.24/17.43 (define @t28 () (tptp.multiply @t27 @t26)) % 17.24/17.43 (define @t29 () (tptp.multiply tptp.a tptp.a)) % 17.24/17.43 (define @t30 () (tptp.least_upper_bound tptp.a @t29)) % 17.24/17.43 (define @t31 () (tptp.least_upper_bound tptp.a tptp.identity)) % 17.24/17.43 (define @t32 () (tptp.greatest_lower_bound (tptp.greatest_lower_bound tptp.a @t31) @t30)) % 17.24/17.43 (define @t33 () (tptp.greatest_lower_bound @t31 @t30)) % 17.24/17.43 (define @t34 () (tptp.greatest_lower_bound tptp.a @t33)) % 17.24/17.43 (define @t35 () (= @t34 @t32)) % 17.24/17.43 (define @t36 () (= @t32 @t34)) % 17.24/17.43 (define @t37 () (@list tptp.a @t28)) % 17.24/17.43 (define @t38 () (@list tptp.a)) % 17.24/17.43 (define @t39 () (tptp.multiply tptp.identity @t26)) % 17.24/17.43 (define @t40 () (tptp.multiply tptp.a @t26)) % 17.24/17.43 (define @t41 () (tptp.greatest_lower_bound tptp.a tptp.identity)) % 17.24/17.43 (define @t42 () (@list tptp.identity tptp.a)) % 17.24/17.43 (define @t43 () (tptp.greatest_lower_bound tptp.identity tptp.a)) % 17.24/17.43 (define @t44 () (@list tptp.a tptp.identity tptp.a)) % 17.24/17.43 (define @t45 () (tptp.multiply tptp.a tptp.identity)) % 17.24/17.43 (define @t46 () (@list tptp.a tptp.identity)) % 17.24/17.43 (define @t47 () (tptp.inverse tptp.a)) % 17.24/17.43 (define @t48 () (tptp.greatest_lower_bound tptp.a @t29)) % 17.24/17.43 (define @t49 () (@list tptp.a @t29)) % 17.24/17.43 (define @t50 () (tptp.multiply @t26 tptp.identity)) % 17.24/17.43 (define @t51 () (tptp.multiply @t26 tptp.a)) % 17.24/17.43 (assume @p1 @t4) % 17.24/17.43 (assume @p2 (forall @t3 (= (tptp.multiply @t5 @t1) tptp.identity))) % 17.24/17.43 (assume @p3 (forall @t9 (= (tptp.multiply @t8 @t6) (tptp.multiply @t1 (tptp.multiply @t7 @t6))))) % 17.24/17.43 (assume @p4 (forall @t11 (= @t10 (tptp.greatest_lower_bound @t7 @t1)))) % 17.24/17.43 (assume @p5 (forall @t11 (= @t12 (tptp.least_upper_bound @t7 @t1)))) % 17.24/17.43 (assume @p6 @t14) % 17.24/17.43 (assume @p7 (forall @t9 (= (tptp.least_upper_bound @t1 @t15) (tptp.least_upper_bound @t12 @t6)))) % 17.24/17.43 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 17.24/17.43 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 17.24/17.43 (assume @p10 @t17) % 17.24/17.43 (assume @p11 @t19) % 17.24/17.43 (assume @p12 (forall @t9 (= (tptp.multiply @t1 @t15) (tptp.least_upper_bound @t8 @t20)))) % 17.24/17.43 (assume @p13 (forall @t9 (= (tptp.multiply @t1 @t13) (tptp.greatest_lower_bound @t8 @t20)))) % 17.24/17.43 (assume @p14 (forall @t23 (= (tptp.multiply @t15 @t1) (tptp.least_upper_bound @t22 @t21)))) % 17.24/17.43 (assume @p15 (forall @t23 (= (tptp.multiply @t13 @t1) (tptp.greatest_lower_bound @t22 @t21)))) % 17.24/17.43 (assume @p16 (= (tptp.inverse tptp.identity) tptp.identity)) % 17.24/17.43 (assume @p17 @t25) % 17.24/17.43 (assume @p18 (forall @t11 (= (tptp.inverse @t8) (tptp.multiply (tptp.inverse @t7) @t5)))) % 17.24/17.43 (assume @p19 (forall @t3 (= (tptp.positive_part @t1) (tptp.least_upper_bound @t1 tptp.identity)))) % 17.24/17.43 (assume @p20 (forall @t3 (= (tptp.negative_part @t1) (tptp.greatest_lower_bound @t1 tptp.identity)))) % 17.24/17.43 (assume @p21 (forall @t9 (= (tptp.least_upper_bound @t1 @t13) (tptp.greatest_lower_bound @t12 (tptp.least_upper_bound @t1 @t6))))) % 17.24/17.43 (assume @p22 (forall @t9 (= (tptp.greatest_lower_bound @t1 @t15) (tptp.least_upper_bound @t10 (tptp.greatest_lower_bound @t1 @t6))))) % 17.24/17.43 (assume @p23 (not (= tptp.a @t28))) % 17.24/17.43 (step @p24 :rule bool-eq-false :args (@t35)) % 17.24/17.43 (step @p25 :rule symm :premises (@p24)) % 17.24/17.43 (step @p26 :rule eq-symm :args (@t32 @t34)) % 17.24/17.43 (step @p27 :rule cong :premises (@p26) :args ((not @t36))) % 17.24/17.43 (step @p28 :rule bool-eq-false :args (@t36)) % 17.24/17.43 (step @p29 :rule trans :premises (@p28 @p27)) % 17.24/17.43 (step @p30 :rule trans :premises (@p29 @p25)) % 17.24/17.43 (step @p31 :rule false_intro :premises (@p23)) % 17.24/17.43 (step @p32 :rule eq-symm :args (@t18 @t1)) % 17.24/17.43 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 17.24/17.43 (step @p34 :rule eq_resolve :premises (@p11 @p33)) % 17.24/17.43 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t28 tptp.a))) % 17.24/17.43 (step @p36 :rule symm :premises (@p35)) % 17.24/17.43 (step @p37 :rule instantiate :premises (@p5) :args (@t37)) % 17.24/17.43 (step @p38 :rule refl :args (@t26)) % 17.24/17.43 (step @p39 :rule instantiate :premises (@p19) :args (@t38)) % 17.24/17.43 (step @p40 :rule symm :premises (@p39)) % 17.24/17.43 (step @p41 :rule cong :premises (@p40 @p38) :args ((tptp.multiply @t31 @t26))) % 17.24/17.43 (step @p42 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.identity @t26))) % 17.24/17.43 (step @p43 :rule symm :premises (@p42)) % 17.24/17.43 (step @p44 :rule trans :premises (@p43 @p41)) % 17.24/17.43 (step @p45 :rule refl :args (tptp.a)) % 17.24/17.43 (step @p46 :rule cong :premises (@p45 @p44) :args ((tptp.least_upper_bound tptp.a (tptp.least_upper_bound @t40 @t39)))) % 17.24/17.43 (step @p47 :rule instantiate :premises (@p7) :args ((@list tptp.a @t40 @t39))) % 17.24/17.43 (step @p48 :rule symm :premises (@p47)) % 17.24/17.43 (step @p49 :rule eq-symm :args (@t2 @t1)) % 17.24/17.43 (step @p50 :rule cong :premises (@p49) :args (@t4)) % 17.24/17.43 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 17.24/17.43 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t26))) % 17.24/17.43 (step @p53 :rule instantiate :premises (@p20) :args (@t38)) % 17.24/17.43 (step @p54 :rule symm :premises (@p53)) % 17.24/17.43 (step @p55 :rule cong :premises (@p45 @p54) :args ((tptp.multiply tptp.a @t41))) % 17.24/17.43 (step @p56 :rule instantiate :premises (@p4) :args (@t42)) % 17.24/17.43 (step @p57 :rule cong :premises (@p45 @p56) :args ((tptp.multiply tptp.a @t43))) % 17.24/17.43 (step @p58 :rule instantiate :premises (@p13) :args (@t44)) % 17.24/17.43 (step @p59 :rule symm :premises (@p58)) % 17.24/17.43 (step @p60 :rule refl :args (@t29)) % 17.24/17.43 (step @p61 :rule eq-symm :args (@t24 @t1)) % 17.24/17.43 (step @p62 :rule cong :premises (@p61) :args (@t25)) % 17.24/17.43 (step @p63 :rule eq_resolve :premises (@p17 @p62)) % 17.24/17.43 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t45))) % 17.24/17.43 (step @p65 :rule symm :premises (@p64)) % 17.24/17.43 (step @p66 :rule instantiate :premises (@p18) :args (@t46)) % 17.24/17.43 (step @p67 :rule symm :premises (@p66)) % 17.24/17.43 (step @p68 :rule refl :args (@t47)) % 17.24/17.43 (step @p69 :rule symm :premises (@p16)) % 17.24/17.43 (step @p70 :rule cong :premises (@p69 @p68) :args ((tptp.multiply tptp.identity @t47))) % 17.24/17.43 (step @p71 :rule instantiate :premises (@p51) :args ((@list @t47))) % 17.24/17.43 (step @p72 :rule trans :premises (@p71 @p70 @p67)) % 17.24/17.43 (step @p73 :rule cong :premises (@p72) :args ((tptp.inverse @t47))) % 17.24/17.43 (step @p74 :rule instantiate :premises (@p63) :args (@t38)) % 17.24/17.43 (step @p75 :rule trans :premises (@p74 @p73 @p65)) % 17.24/17.43 (step @p76 :rule cong :premises (@p75 @p60) :args (@t48)) % 17.24/17.43 (step @p77 :rule trans :premises (@p76 @p59 @p57 @p55)) % 17.24/17.43 (step @p78 :rule cong :premises (@p45 @p77) :args ((tptp.least_upper_bound tptp.a @t48))) % 17.24/17.43 (step @p79 :rule eq-symm :args (@t16 @t1)) % 17.24/17.43 (step @p80 :rule cong :premises (@p79) :args (@t17)) % 17.24/17.43 (step @p81 :rule eq_resolve :premises (@p10 @p80)) % 17.24/17.43 (step @p82 :rule instantiate :premises (@p81) :args (@t49)) % 17.24/17.43 (step @p83 :rule trans :premises (@p82 @p78)) % 17.24/17.43 (step @p84 :rule cong :premises (@p83 @p52) :args ((tptp.least_upper_bound tptp.a @t26))) % 17.24/17.43 (step @p85 :rule cong :premises (@p45 @p54) :args ((tptp.least_upper_bound tptp.a @t41))) % 17.24/17.43 (step @p86 :rule instantiate :premises (@p81) :args (@t46)) % 17.24/17.43 (step @p87 :rule trans :premises (@p86 @p85 @p84 @p48 @p46 @p37)) % 17.24/17.43 (step @p88 :rule refl :args (@t28)) % 17.24/17.43 (step @p89 :rule cong :premises (@p88 @p87) :args ((tptp.greatest_lower_bound @t28 tptp.a))) % 17.24/17.43 (step @p90 :rule instantiate :premises (@p4) :args (@t37)) % 17.24/17.43 (step @p91 :rule instantiate :premises (@p51) :args ((@list tptp.identity))) % 17.24/17.43 (step @p92 :rule symm :premises (@p91)) % 17.24/17.43 (step @p93 :rule symm :premises (@p75)) % 17.24/17.43 (step @p94 :rule cong :premises (@p93 @p92) :args ((tptp.greatest_lower_bound @t45 (tptp.multiply tptp.identity tptp.identity)))) % 17.24/17.43 (step @p95 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.identity tptp.identity))) % 17.24/17.43 (step @p96 :rule refl :args (tptp.identity)) % 17.24/17.43 (step @p97 :rule cong :premises (@p53 @p96) :args (@t50)) % 17.24/17.43 (step @p98 :rule trans :premises (@p97 @p95 @p94 @p54 @p52)) % 17.24/17.43 (step @p99 :rule instantiate :premises (@p13) :args ((@list tptp.a tptp.a tptp.identity))) % 17.24/17.43 (step @p100 :rule symm :premises (@p99)) % 17.24/17.43 (step @p101 :rule instantiate :premises (@p51) :args (@t38)) % 17.24/17.43 (step @p102 :rule symm :premises (@p101)) % 17.24/17.43 (step @p103 :rule trans :premises (@p102 @p74 @p73 @p65)) % 17.24/17.43 (step @p104 :rule cong :premises (@p60 @p103) :args ((tptp.greatest_lower_bound @t29 (tptp.multiply tptp.identity tptp.a)))) % 17.24/17.43 (step @p105 :rule instantiate :premises (@p15) :args (@t44)) % 17.24/17.43 (step @p106 :rule cong :premises (@p53 @p45) :args (@t51)) % 17.24/17.43 (step @p107 :rule trans :premises (@p106 @p105 @p104 @p100 @p55)) % 17.24/17.43 (step @p108 :rule cong :premises (@p107 @p98) :args ((tptp.least_upper_bound @t51 @t50))) % 17.24/17.43 (step @p109 :rule instantiate :premises (@p12) :args ((@list @t26 tptp.a tptp.identity))) % 17.24/17.43 (step @p110 :rule cong :premises (@p38 @p39) :args ((tptp.multiply @t26 @t27))) % 17.24/17.43 (step @p111 :rule refl :args (@t27)) % 17.24/17.43 (step @p112 :rule trans :premises (@p56 @p54)) % 17.24/17.43 (step @p113 :rule cong :premises (@p112 @p111) :args ((tptp.multiply @t43 @t27))) % 17.24/17.43 (step @p114 :rule instantiate :premises (@p15) :args ((@list tptp.identity tptp.a @t27))) % 17.24/17.43 (step @p115 :rule symm :premises (@p114)) % 17.24/17.43 (step @p116 :rule cong :premises (@p45 @p40) :args ((tptp.multiply tptp.a @t31))) % 17.24/17.43 (step @p117 :rule instantiate :premises (@p5) :args (@t42)) % 17.24/17.43 (step @p118 :rule cong :premises (@p45 @p117) :args ((tptp.multiply tptp.a (tptp.least_upper_bound tptp.identity tptp.a)))) % 17.24/17.43 (step @p119 :rule instantiate :premises (@p12) :args (@t44)) % 17.24/17.43 (step @p120 :rule symm :premises (@p119)) % 17.24/17.43 (step @p121 :rule cong :premises (@p75 @p60) :args (@t30)) % 17.24/17.43 (step @p122 :rule trans :premises (@p121 @p120 @p118 @p116)) % 17.24/17.43 (step @p123 :rule instantiate :premises (@p51) :args ((@list @t27))) % 17.24/17.43 (step @p124 :rule trans :premises (@p40 @p123)) % 17.24/17.43 (step @p125 :rule cong :premises (@p124 @p122) :args (@t33)) % 17.24/17.43 (step @p126 :rule trans :premises (@p125 @p115 @p113 @p110 @p109 @p108 @p43 @p41)) % 17.24/17.43 (step @p127 :rule cong :premises (@p45 @p126) :args (@t34)) % 17.24/17.43 (step @p128 :rule trans :premises (@p127 @p90 @p89 @p36)) % 17.24/17.43 (step @p129 :rule instantiate :premises (@p34) :args (@t49)) % 17.24/17.43 (step @p130 :rule symm :premises (@p129)) % 17.24/17.43 (step @p131 :rule refl :args (@t30)) % 17.24/17.43 (step @p132 :rule instantiate :premises (@p34) :args (@t46)) % 17.24/17.43 (step @p133 :rule symm :premises (@p132)) % 17.24/17.43 (step @p134 :rule cong :premises (@p133 @p131) :args (@t32)) % 17.24/17.43 (step @p135 :rule trans :premises (@p134 @p130)) % 17.24/17.43 (step @p136 :rule cong :premises (@p135 @p128) :args (@t36)) % 17.24/17.43 (step @p137 :rule trans :premises (@p136 @p31)) % 17.24/17.43 (step @p138 :rule eq_resolve :premises (@p137 @p30)) % 17.24/17.43 (step @p139 :rule false_elim :premises (@p138)) % 17.24/17.43 (assume-push @p146 @t14) % 17.24/17.43 (step @p141 :rule instantiate :premises (@p6) :args ((@list tptp.a @t31 @t30))) % 17.24/17.43 (step-pop @p147 :rule scope :premises (@p141)) % 17.24/17.43 (step @p142 :rule process_scope :premises (@p147) :args (@t35)) % 17.24/17.43 (step @p144 :rule implies_elim :premises (@p142)) % 17.24/17.43 (step @p145 false :rule chain_m_resolution :premises (@p144 @p139 @p6) :args (false (@list true false) (@list @t35 @t14))) % 17.24/17.43 ) % 17.24/17.44 % SZS output end Proof % 17.24/17.44 % cvc5 exiting %------------------------------------------------------------------------------