%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP190-2 : 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 : 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 08:20:10 AM UTC 2026 % Result : Unsatisfiable 160.28s 160.52s % Output : Proof 160.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP190-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 00:55:23 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.84/16.13 --- Run --no-e-matching --full-saturate-quant at 6... % 21.93/22.16 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.93/28.18 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.01/34.23 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.05/64.63 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.60/79.85 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.97/113.24 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.29/128.51 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.57/158.88 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 160.28/160.52 % SZS status Unsatisfiable % 160.28/160.52 % SZS output start Proof % 160.28/160.53 ( % 160.28/160.53 (declare-sort $$unsorted 0) % 160.28/160.53 (declare-const tptp.b $$unsorted) % 160.28/160.53 (declare-const tptp.a $$unsorted) % 160.28/160.53 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 160.28/160.53 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 160.28/160.53 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 160.28/160.53 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 160.28/160.53 (declare-const tptp.identity $$unsorted) % 160.28/160.53 (define @t1 () (@var "X" $$unsorted)) % 160.28/160.53 (define @t2 () (tptp.multiply tptp.identity @t1)) % 160.28/160.53 (define @t3 () (@list @t1)) % 160.28/160.53 (define @t4 () (forall @t3 (= @t2 @t1))) % 160.28/160.53 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 160.28/160.53 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 160.28/160.53 (define @t7 () (@var "Z" $$unsorted)) % 160.28/160.53 (define @t8 () (@var "Y" $$unsorted)) % 160.28/160.53 (define @t9 () (tptp.multiply @t1 @t8)) % 160.28/160.53 (define @t10 () (@list @t1 @t8 @t7)) % 160.28/160.53 (define @t11 () (tptp.greatest_lower_bound @t1 @t8)) % 160.28/160.53 (define @t12 () (@list @t1 @t8)) % 160.28/160.53 (define @t13 () (tptp.least_upper_bound @t1 @t8)) % 160.28/160.53 (define @t14 () (tptp.greatest_lower_bound @t8 @t7)) % 160.28/160.53 (define @t15 () (tptp.least_upper_bound @t8 @t7)) % 160.28/160.53 (define @t16 () (tptp.least_upper_bound @t1 @t1)) % 160.28/160.53 (define @t17 () (forall @t3 (= @t16 @t1))) % 160.28/160.53 (define @t18 () (tptp.least_upper_bound @t1 @t11)) % 160.28/160.53 (define @t19 () (forall @t12 (= @t18 @t1))) % 160.28/160.53 (define @t20 () (tptp.greatest_lower_bound @t1 @t13)) % 160.28/160.53 (define @t21 () (forall @t12 (= @t20 @t1))) % 160.28/160.53 (define @t22 () (tptp.multiply @t1 @t7)) % 160.28/160.53 (define @t23 () (tptp.multiply @t7 @t1)) % 160.28/160.53 (define @t24 () (tptp.multiply @t8 @t1)) % 160.28/160.53 (define @t25 () (@list @t8 @t7 @t1)) % 160.28/160.53 (define @t26 () (forall @t25 (= (tptp.multiply @t14 @t1) (tptp.greatest_lower_bound @t24 @t23)))) % 160.28/160.53 (define @t27 () (tptp.inverse tptp.a)) % 160.28/160.53 (define @t28 () (tptp.inverse tptp.b)) % 160.28/160.53 (define @t29 () (tptp.greatest_lower_bound @t27 @t28)) % 160.28/160.53 (define @t30 () (tptp.greatest_lower_bound @t28 @t27)) % 160.28/160.53 (define @t31 () (@list @t27)) % 160.28/160.53 (define @t32 () (@list tptp.a)) % 160.28/160.53 (define @t33 () (tptp.multiply @t27 tptp.a)) % 160.28/160.53 (define @t34 () (tptp.inverse @t27)) % 160.28/160.53 (define @t35 () (tptp.multiply @t34 @t27)) % 160.28/160.53 (define @t36 () (tptp.multiply @t34 tptp.identity)) % 160.28/160.53 (define @t37 () (tptp.multiply @t27 tptp.identity)) % 160.28/160.53 (define @t38 () (@list @t28)) % 160.28/160.53 (define @t39 () (tptp.inverse @t28)) % 160.28/160.53 (define @t40 () (tptp.multiply @t39 @t28)) % 160.28/160.53 (define @t41 () (@list tptp.b)) % 160.28/160.53 (define @t42 () (tptp.multiply @t28 tptp.b)) % 160.28/160.53 (define @t43 () (tptp.multiply @t42 @t28)) % 160.28/160.53 (define @t44 () (tptp.multiply @t27 @t39)) % 160.28/160.53 (define @t45 () (tptp.multiply @t27 tptp.b)) % 160.28/160.53 (define @t46 () (tptp.multiply tptp.b tptp.identity)) % 160.28/160.53 (define @t47 () (tptp.multiply @t30 @t46)) % 160.28/160.53 (define @t48 () (tptp.multiply @t45 @t28)) % 160.28/160.53 (define @t49 () (tptp.greatest_lower_bound @t43 @t48)) % 160.28/160.53 (define @t50 () (tptp.multiply (tptp.greatest_lower_bound @t42 @t45) @t28)) % 160.28/160.53 (define @t51 () (= @t50 @t49)) % 160.28/160.53 (assume @p1 @t4) % 160.28/160.53 (assume @p2 @t6) % 160.28/160.53 (assume @p3 (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 160.28/160.53 (assume @p4 (forall @t12 (= @t11 (tptp.greatest_lower_bound @t8 @t1)))) % 160.28/160.53 (assume @p5 (forall @t12 (= @t13 (tptp.least_upper_bound @t8 @t1)))) % 160.28/160.53 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t14) (tptp.greatest_lower_bound @t11 @t7)))) % 160.28/160.53 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t15) (tptp.least_upper_bound @t13 @t7)))) % 160.28/160.53 (assume @p8 @t17) % 160.28/160.53 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 160.28/160.53 (assume @p10 @t19) % 160.28/160.53 (assume @p11 @t21) % 160.28/160.53 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.least_upper_bound @t9 @t22)))) % 160.28/160.53 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t14) (tptp.greatest_lower_bound @t9 @t22)))) % 160.28/160.53 (assume @p14 (forall @t25 (= (tptp.multiply @t15 @t1) (tptp.least_upper_bound @t24 @t23)))) % 160.28/160.53 (assume @p15 @t26) % 160.28/160.53 (assume @p16 (= (tptp.least_upper_bound tptp.a tptp.b) tptp.a)) % 160.28/160.53 (assume @p17 (not (= @t29 @t27))) % 160.28/160.53 (step @p18 :rule symm :premises (@p17)) % 160.28/160.53 (step @p19 :rule false_intro :premises (@p18)) % 160.28/160.53 (step @p20 :rule instantiate :premises (@p4) :args ((@list @t27 @t28))) % 160.28/160.53 (step @p21 :rule symm :premises (@p20)) % 160.28/160.53 (step @p22 :rule eq-symm :args (@t20 @t1)) % 160.28/160.53 (step @p23 :rule cong :premises (@p22) :args (@t21)) % 160.28/160.53 (step @p24 :rule eq_resolve :premises (@p11 @p23)) % 160.28/160.53 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t27 @t29))) % 160.28/160.53 (step @p26 :rule symm :premises (@p25)) % 160.28/160.53 (step @p27 :rule refl :args (@t28)) % 160.28/160.53 (step @p28 :rule cong :premises (@p27 @p26) :args ((tptp.greatest_lower_bound @t28 (tptp.greatest_lower_bound @t27 (tptp.least_upper_bound @t27 @t29))))) % 160.28/160.53 (step @p29 :rule eq-symm :args (@t18 @t1)) % 160.28/160.53 (step @p30 :rule cong :premises (@p29) :args (@t19)) % 160.28/160.53 (step @p31 :rule eq_resolve :premises (@p10 @p30)) % 160.28/160.53 (step @p32 :rule instantiate :premises (@p31) :args ((@list @t28 @t27))) % 160.28/160.53 (step @p33 :rule symm :premises (@p32)) % 160.28/160.53 (step @p34 :rule cong :premises (@p33 @p25) :args ((tptp.greatest_lower_bound (tptp.least_upper_bound @t28 @t30) @t27))) % 160.28/160.53 (step @p35 :rule eq-symm :args (@t2 @t1)) % 160.28/160.53 (step @p36 :rule cong :premises (@p35) :args (@t4)) % 160.28/160.53 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 160.28/160.53 (step @p38 :rule instantiate :premises (@p37) :args (@t31)) % 160.28/160.53 (step @p39 :rule symm :premises (@p38)) % 160.28/160.53 (step @p40 :rule refl :args (@t27)) % 160.28/160.53 (step @p41 :rule eq-symm :args (@t5 tptp.identity)) % 160.28/160.53 (step @p42 :rule cong :premises (@p41) :args (@t6)) % 160.28/160.53 (step @p43 :rule eq_resolve :premises (@p2 @p42)) % 160.28/160.53 (step @p44 :rule instantiate :premises (@p43) :args (@t32)) % 160.28/160.53 (step @p45 :rule symm :premises (@p44)) % 160.28/160.53 (step @p46 :rule cong :premises (@p45 @p40) :args ((tptp.multiply @t33 @t27))) % 160.28/160.53 (step @p47 :rule instantiate :premises (@p3) :args ((@list @t27 tptp.a @t27))) % 160.28/160.53 (step @p48 :rule symm :premises (@p47)) % 160.28/160.53 (step @p49 :rule instantiate :premises (@p37) :args (@t32)) % 160.28/160.53 (step @p50 :rule symm :premises (@p49)) % 160.28/160.53 (step @p51 :rule refl :args (tptp.a)) % 160.28/160.53 (step @p52 :rule instantiate :premises (@p43) :args (@t31)) % 160.28/160.53 (step @p53 :rule symm :premises (@p52)) % 160.28/160.53 (step @p54 :rule cong :premises (@p53 @p51) :args ((tptp.multiply @t35 tptp.a))) % 160.28/160.53 (step @p55 :rule instantiate :premises (@p3) :args ((@list @t34 @t27 tptp.a))) % 160.28/160.53 (step @p56 :rule symm :premises (@p55)) % 160.28/160.53 (step @p57 :rule refl :args (@t34)) % 160.28/160.53 (step @p58 :rule cong :premises (@p57 @p44) :args (@t36)) % 160.28/160.53 (step @p59 :rule trans :premises (@p58 @p56 @p54 @p50)) % 160.28/160.53 (step @p60 :rule cong :premises (@p59 @p40) :args ((tptp.multiply @t36 @t27))) % 160.28/160.53 (step @p61 :rule instantiate :premises (@p3) :args ((@list @t34 tptp.identity @t27))) % 160.28/160.53 (step @p62 :rule symm :premises (@p61)) % 160.28/160.53 (step @p63 :rule cong :premises (@p57 @p38) :args (@t35)) % 160.28/160.53 (step @p64 :rule trans :premises (@p52 @p63 @p62 @p60)) % 160.28/160.53 (step @p65 :rule cong :premises (@p40 @p64) :args (@t37)) % 160.28/160.53 (step @p66 :rule instantiate :premises (@p43) :args (@t38)) % 160.28/160.53 (step @p67 :rule symm :premises (@p66)) % 160.28/160.53 (step @p68 :rule cong :premises (@p40 @p67) :args ((tptp.multiply @t27 @t40))) % 160.28/160.53 (step @p69 :rule instantiate :premises (@p3) :args ((@list @t27 @t39 @t28))) % 160.28/160.53 (step @p70 :rule instantiate :premises (@p37) :args (@t38)) % 160.28/160.53 (step @p71 :rule symm :premises (@p70)) % 160.28/160.53 (step @p72 :rule instantiate :premises (@p43) :args (@t41)) % 160.28/160.53 (step @p73 :rule symm :premises (@p72)) % 160.28/160.53 (step @p74 :rule cong :premises (@p73 @p27) :args (@t43)) % 160.28/160.53 (step @p75 :rule trans :premises (@p74 @p71)) % 160.28/160.53 (step @p76 :rule refl :args (@t44)) % 160.28/160.53 (step @p77 :rule cong :premises (@p76 @p75) :args ((tptp.multiply @t44 @t43))) % 160.28/160.53 (step @p78 :rule instantiate :premises (@p3) :args ((@list @t44 @t42 @t28))) % 160.28/160.53 (step @p79 :rule instantiate :premises (@p3) :args ((@list @t44 @t28 tptp.b))) % 160.28/160.53 (step @p80 :rule refl :args (tptp.b)) % 160.28/160.53 (step @p81 :rule symm :premises (@p69)) % 160.28/160.53 (step @p82 :rule symm :premises (@p68)) % 160.28/160.53 (step @p83 :rule trans :premises (@p82 @p81)) % 160.28/160.53 (step @p84 :rule cong :premises (@p83 @p80) :args ((tptp.multiply @t37 tptp.b))) % 160.28/160.53 (step @p85 :rule instantiate :premises (@p3) :args ((@list @t27 tptp.identity tptp.b))) % 160.28/160.53 (step @p86 :rule symm :premises (@p85)) % 160.28/160.53 (step @p87 :rule instantiate :premises (@p37) :args (@t41)) % 160.28/160.53 (step @p88 :rule cong :premises (@p40 @p87) :args (@t45)) % 160.28/160.53 (step @p89 :rule instantiate :premises (@p24) :args ((@list @t45 @t33))) % 160.28/160.53 (step @p90 :rule symm :premises (@p89)) % 160.28/160.53 (step @p91 :rule instantiate :premises (@p12) :args ((@list @t27 tptp.b tptp.a))) % 160.28/160.53 (step @p92 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.b))) % 160.28/160.53 (step @p93 :rule symm :premises (@p16)) % 160.28/160.53 (step @p94 :rule trans :premises (@p93 @p92)) % 160.28/160.53 (step @p95 :rule cong :premises (@p40 @p94) :args (@t33)) % 160.28/160.53 (step @p96 :rule trans :premises (@p73 @p44 @p95 @p91)) % 160.28/160.53 (step @p97 :rule refl :args (@t45)) % 160.28/160.53 (step @p98 :rule cong :premises (@p97 @p96) :args ((tptp.greatest_lower_bound @t45 @t42))) % 160.28/160.53 (step @p99 :rule instantiate :premises (@p15) :args ((@list @t27 @t28 tptp.b))) % 160.28/160.53 (step @p100 :rule cong :premises (@p21 @p80) :args ((tptp.multiply @t30 tptp.b))) % 160.28/160.53 (step @p101 :rule trans :premises (@p100 @p99 @p98 @p90 @p88 @p86 @p84 @p79)) % 160.28/160.53 (step @p102 :rule symm :premises (@p87)) % 160.28/160.53 (step @p103 :rule cong :premises (@p67 @p80) :args ((tptp.multiply @t40 tptp.b))) % 160.28/160.53 (step @p104 :rule instantiate :premises (@p3) :args ((@list @t39 @t28 tptp.b))) % 160.28/160.53 (step @p105 :rule symm :premises (@p104)) % 160.28/160.53 (step @p106 :rule instantiate :premises (@p37) :args ((@list tptp.identity))) % 160.28/160.53 (step @p107 :rule symm :premises (@p106)) % 160.28/160.53 (step @p108 :rule refl :args (tptp.identity)) % 160.28/160.53 (step @p109 :rule cong :premises (@p73 @p108) :args ((tptp.multiply @t42 tptp.identity))) % 160.28/160.53 (step @p110 :rule instantiate :premises (@p3) :args ((@list @t28 tptp.b tptp.identity))) % 160.28/160.53 (step @p111 :rule symm :premises (@p110)) % 160.28/160.53 (step @p112 :rule trans :premises (@p111 @p109 @p107 @p72)) % 160.28/160.53 (step @p113 :rule refl :args (@t39)) % 160.28/160.53 (step @p114 :rule cong :premises (@p113 @p112) :args ((tptp.multiply @t39 (tptp.multiply @t28 @t46)))) % 160.28/160.53 (step @p115 :rule instantiate :premises (@p3) :args ((@list @t39 @t28 @t46))) % 160.28/160.53 (step @p116 :rule refl :args (@t46)) % 160.28/160.53 (step @p117 :rule cong :premises (@p66 @p116) :args ((tptp.multiply tptp.identity @t46))) % 160.28/160.53 (step @p118 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.b tptp.identity))) % 160.28/160.53 (step @p119 :rule cong :premises (@p87 @p53) :args ((tptp.multiply tptp.b @t35))) % 160.28/160.53 (step @p120 :rule cong :premises (@p80 @p52) :args (@t46)) % 160.28/160.53 (step @p121 :rule trans :premises (@p120 @p119 @p118 @p117 @p115 @p114 @p105 @p103 @p102)) % 160.28/160.53 (step @p122 :rule eq-symm :args (@t16 @t1)) % 160.28/160.53 (step @p123 :rule cong :premises (@p122) :args (@t17)) % 160.28/160.53 (step @p124 :rule eq_resolve :premises (@p8 @p123)) % 160.28/160.53 (step @p125 :rule instantiate :premises (@p124) :args ((@list @t29))) % 160.28/160.53 (step @p126 :rule symm :premises (@p125)) % 160.28/160.53 (step @p127 :rule trans :premises (@p126 @p20)) % 160.28/160.53 (step @p128 :rule cong :premises (@p127 @p121) :args ((tptp.multiply (tptp.least_upper_bound @t29 @t29) @t46))) % 160.28/160.53 (step @p129 :rule symm :premises (@p127)) % 160.28/160.53 (step @p130 :rule cong :premises (@p129 @p116) :args (@t47)) % 160.28/160.53 (step @p131 :rule trans :premises (@p130 @p128)) % 160.28/160.53 (step @p132 :rule trans :premises (@p131 @p101)) % 160.28/160.53 (step @p133 :rule cong :premises (@p132 @p27) :args ((tptp.multiply @t47 @t28))) % 160.28/160.53 (step @p134 :rule symm :premises (@p131)) % 160.28/160.53 (step @p135 :rule symm :premises (@p100)) % 160.28/160.53 (step @p136 :rule symm :premises (@p99)) % 160.28/160.53 (step @p137 :rule symm :premises (@p98)) % 160.28/160.53 (step @p138 :rule trans :premises (@p89 @p137 @p136 @p135)) % 160.28/160.53 (step @p139 :rule trans :premises (@p138 @p134)) % 160.28/160.53 (step @p140 :rule cong :premises (@p139 @p27) :args (@t48)) % 160.28/160.53 (step @p141 :rule trans :premises (@p140 @p133 @p78 @p77 @p69 @p68 @p65 @p48 @p46 @p39)) % 160.28/160.53 (step @p142 :rule trans :premises (@p75 @p32)) % 160.28/160.53 (step @p143 :rule cong :premises (@p142 @p141) :args (@t49)) % 160.28/160.53 (step @p144 :rule trans :premises (@p143 @p34 @p28 @p21)) % 160.28/160.53 (step @p145 :rule instantiate :premises (@p15) :args ((@list @t28 @t27 tptp.b))) % 160.28/160.53 (step @p146 :rule symm :premises (@p145)) % 160.28/160.53 (step @p147 :rule trans :premises (@p146 @p134)) % 160.28/160.53 (step @p148 :rule cong :premises (@p147 @p27) :args (@t50)) % 160.28/160.53 (step @p149 :rule trans :premises (@p148 @p133 @p78 @p77 @p69 @p68 @p65 @p48 @p46 @p39)) % 160.28/160.53 (step @p150 :rule cong :premises (@p149 @p144) :args (@t51)) % 160.28/160.53 (step @p151 :rule trans :premises (@p150 @p19)) % 160.28/160.53 (step @p152 :rule false_elim :premises (@p151)) % 160.28/160.53 (assume-push @p159 @t26) % 160.28/160.53 (step @p154 :rule instantiate :premises (@p15) :args ((@list @t42 @t45 @t28))) % 160.28/160.53 (step-pop @p160 :rule scope :premises (@p154)) % 160.28/160.53 (step @p155 :rule process_scope :premises (@p160) :args (@t51)) % 160.28/160.53 (step @p157 :rule implies_elim :premises (@p155)) % 160.28/160.53 (step @p158 false :rule chain_m_resolution :premises (@p157 @p152 @p15) :args (false (@list true false) (@list @t51 @t26))) % 160.28/160.53 ) % 160.28/160.53 % SZS output end Proof % 160.28/160.53 % cvc5 exiting %------------------------------------------------------------------------------