%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP464-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:20:46 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP464-1 : TPTP v9.2.1. Released v2.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.33 % Computer : n013.cluster.edu % 0.18/0.33 % Model : x86_64 x86_64 % 0.18/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.33 % Memory : 8042.1875MB % 0.18/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 01:12:15 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Unsatisfiable % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.a2 $$unsorted) % 0.36/0.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.identity $$unsorted) % 0.36/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "C" $$unsorted)) % 0.36/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.36/0.57 (define @t4 () (tptp.divide tptp.identity @t3)) % 0.36/0.57 (define @t5 () (tptp.divide @t3 @t3)) % 0.36/0.57 (define @t6 () (tptp.divide @t3 (tptp.divide (tptp.divide (tptp.divide @t5 @t1) @t2) (tptp.divide @t4 @t2)))) % 0.36/0.57 (define @t7 () (forall (@list @t3 @t1 @t2) (= @t6 @t1))) % 0.36/0.57 (define @t8 () (@list @t3)) % 0.36/0.57 (define @t9 () (tptp.multiply tptp.identity tptp.a2)) % 0.36/0.57 (define @t10 () (tptp.divide tptp.identity tptp.identity)) % 0.36/0.57 (define @t11 () (tptp.divide @t10 tptp.identity)) % 0.36/0.57 (define @t12 () (tptp.divide @t11 tptp.identity)) % 0.36/0.57 (define @t13 () (tptp.divide tptp.identity tptp.a2)) % 0.36/0.57 (define @t14 () (tptp.divide @t10 @t13)) % 0.36/0.57 (define @t15 () (tptp.divide @t11 @t13)) % 0.36/0.57 (define @t16 () (tptp.divide @t15 @t14)) % 0.36/0.57 (define @t17 () (tptp.divide (tptp.divide @t14 @t13) @t14)) % 0.36/0.57 (define @t18 () (tptp.divide @t10 tptp.a2)) % 0.36/0.57 (define @t19 () (tptp.divide @t18 tptp.a2)) % 0.36/0.57 (define @t20 () (tptp.divide @t19 @t18)) % 0.36/0.57 (define @t21 () (tptp.divide tptp.identity @t12)) % 0.36/0.57 (define @t22 () (tptp.divide @t21 tptp.a2)) % 0.36/0.57 (define @t23 () (tptp.divide (tptp.divide (tptp.divide @t12 @t12) @t11) tptp.a2)) % 0.36/0.57 (define @t24 () (tptp.divide @t23 @t22)) % 0.36/0.57 (define @t25 () (tptp.divide tptp.identity @t13)) % 0.36/0.57 (define @t26 () (= @t9 @t25)) % 0.36/0.57 (define @t27 () (= tptp.identity @t10)) % 0.36/0.57 (define @t28 () (tptp.divide @t12 @t24)) % 0.36/0.57 (define @t29 () (= @t11 @t28)) % 0.36/0.57 (define @t30 () (tptp.divide tptp.identity @t16)) % 0.36/0.57 (define @t31 () (= tptp.identity @t30)) % 0.36/0.57 (define @t32 () (tptp.divide tptp.identity @t20)) % 0.36/0.57 (define @t33 () (= tptp.a2 @t32)) % 0.36/0.57 (define @t34 () (= @t13 (tptp.divide tptp.identity @t17))) % 0.36/0.57 (define @t35 () (tptp.divide @t10 @t16)) % 0.36/0.57 (define @t36 () (= @t16 (tptp.divide tptp.identity (tptp.divide (tptp.divide @t35 tptp.a2) @t18)))) % 0.36/0.57 (define @t37 () (tptp.divide @t10 @t17)) % 0.36/0.57 (define @t38 () (= @t17 (tptp.divide tptp.identity (tptp.divide (tptp.divide @t37 tptp.a2) @t18)))) % 0.36/0.57 (define @t39 () (tptp.divide tptp.identity (tptp.divide (tptp.divide @t35 @t20) (tptp.divide @t10 @t20)))) % 0.36/0.57 (define @t40 () (= @t16 @t39)) % 0.36/0.57 (define @t41 () (= @t24 (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide @t10 @t24) tptp.identity) @t11)))) % 0.36/0.57 (define @t42 () (tptp.divide @t37 @t16)) % 0.36/0.57 (define @t43 () (tptp.divide @t42 @t35)) % 0.36/0.57 (define @t44 () (tptp.divide tptp.identity @t43)) % 0.36/0.57 (define @t45 () (= @t17 @t44)) % 0.36/0.57 (define @t46 () (tptp.divide @t23 @t23)) % 0.36/0.57 (define @t47 () (= @t13 (tptp.divide @t23 (tptp.divide (tptp.divide (tptp.divide @t46 @t13) @t14) (tptp.divide (tptp.divide tptp.identity @t23) @t14))))) % 0.36/0.57 (define @t48 () (tptp.divide @t46 tptp.a2)) % 0.36/0.57 (define @t49 () (tptp.divide @t13 @t13)) % 0.36/0.57 (define @t50 () (= tptp.a2 @t9)) % 0.36/0.57 (define @t51 () (and @t26 @t27 @t29 @t31 @t33 @t34 @t36 @t38 @t40 @t41 @t45 @t47)) % 0.36/0.57 (assume @p1 @t7) % 0.36/0.57 (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide tptp.identity @t1))))) % 0.36/0.57 (assume @p3 (forall @t8 (= (tptp.inverse @t3) @t4))) % 0.36/0.57 (assume @p4 (forall @t8 (= tptp.identity @t5))) % 0.36/0.57 (assume @p5 (not (= @t9 tptp.a2))) % 0.36/0.57 (step @p6 :rule symm :premises (@p5)) % 0.36/0.57 (step @p7 :rule instantiate :premises (@p2) :args ((@list tptp.identity tptp.a2))) % 0.36/0.57 (step @p8 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 0.36/0.57 (step @p9 :rule eq-symm :args (@t6 @t1)) % 0.36/0.57 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 0.36/0.57 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.36/0.57 (step @p12 :rule instantiate :premises (@p11) :args ((@list @t12 @t11 tptp.a2))) % 0.36/0.57 (step @p13 :rule instantiate :premises (@p11) :args ((@list tptp.identity tptp.identity @t13))) % 0.36/0.57 (step @p14 :rule instantiate :premises (@p11) :args ((@list tptp.identity tptp.a2 tptp.a2))) % 0.36/0.57 (step @p15 :rule instantiate :premises (@p11) :args ((@list tptp.identity @t13 @t13))) % 0.36/0.57 (step @p16 :rule instantiate :premises (@p11) :args ((@list tptp.identity @t16 tptp.a2))) % 0.36/0.57 (step @p17 :rule instantiate :premises (@p11) :args ((@list tptp.identity @t17 tptp.a2))) % 0.36/0.57 (step @p18 :rule instantiate :premises (@p11) :args ((@list tptp.identity @t16 @t20))) % 0.36/0.57 (step @p19 :rule instantiate :premises (@p11) :args ((@list tptp.identity @t24 tptp.identity))) % 0.36/0.57 (step @p20 :rule instantiate :premises (@p11) :args ((@list tptp.identity @t17 @t16))) % 0.36/0.57 (step @p21 :rule instantiate :premises (@p11) :args ((@list @t23 @t13 @t14))) % 0.36/0.57 (assume-push @p151 @t26) % 0.36/0.57 (assume-push @p152 @t27) % 0.36/0.57 (assume-push @p153 @t29) % 0.36/0.57 (assume-push @p154 @t31) % 0.36/0.57 (assume-push @p155 @t33) % 0.36/0.57 (assume-push @p156 @t34) % 0.36/0.57 (assume-push @p157 @t36) % 0.36/0.57 (assume-push @p158 @t38) % 0.36/0.57 (assume-push @p159 @t40) % 0.36/0.57 (assume-push @p160 @t41) % 0.36/0.57 (assume-push @p161 @t45) % 0.36/0.57 (assume-push @p162 @t47) % 0.36/0.57 (step @p34 :rule symm :premises (@p7)) % 0.36/0.57 (step @p35 :rule symm :premises (@p21)) % 0.36/0.57 (step @p36 :rule refl :args (@t14)) % 0.36/0.57 (step @p37 :rule refl :args (tptp.a2)) % 0.36/0.57 (step @p38 :rule refl :args (tptp.identity)) % 0.36/0.57 (step @p39 :rule cong :premises (@p8 @p38) :args (@t10)) % 0.36/0.57 (step @p40 :rule trans :premises (@p8 @p39)) % 0.36/0.57 (step @p41 :rule cong :premises (@p40 @p38) :args (@t10)) % 0.36/0.57 (step @p42 :rule trans :premises (@p8 @p41)) % 0.36/0.57 (step @p43 :rule cong :premises (@p42 @p42) :args (@t10)) % 0.36/0.57 (step @p44 :rule trans :premises (@p8 @p43)) % 0.36/0.57 (step @p45 :rule cong :premises (@p44 @p40) :args (@t10)) % 0.36/0.57 (step @p46 :rule trans :premises (@p8 @p45)) % 0.36/0.57 (step @p47 :rule cong :premises (@p46 @p37) :args (@t13)) % 0.36/0.57 (step @p48 :rule cong :premises (@p38 @p47) :args (@t25)) % 0.36/0.57 (step @p49 :rule refl :args (@t13)) % 0.36/0.57 (step @p50 :rule symm :premises (@p40)) % 0.36/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args (@t15)) % 0.36/0.57 (step @p52 :rule trans :premises (@p51 @p48)) % 0.36/0.57 (step @p53 :rule cong :premises (@p52 @p36) :args (@t16)) % 0.36/0.57 (step @p54 :rule symm :premises (@p16)) % 0.36/0.57 (step @p55 :rule cong :premises (@p8 @p37) :args (@t13)) % 0.36/0.57 (step @p56 :rule symm :premises (@p8)) % 0.36/0.57 (step @p57 :rule symm :premises (@p42)) % 0.36/0.57 (step @p58 :rule cong :premises (@p38 @p57) :args (@t21)) % 0.36/0.57 (step @p59 :rule trans :premises (@p58 @p56)) % 0.36/0.57 (step @p60 :rule cong :premises (@p59 @p37) :args (@t22)) % 0.36/0.57 (step @p61 :rule trans :premises (@p60 @p55)) % 0.36/0.57 (step @p62 :rule refl :args (@t16)) % 0.36/0.57 (step @p63 :rule cong :premises (@p8 @p62) :args (@t30)) % 0.36/0.57 (step @p64 :rule trans :premises (@p13 @p63)) % 0.36/0.57 (step @p65 :rule cong :premises (@p64 @p37) :args (@t13)) % 0.36/0.57 (step @p66 :rule symm :premises (@p47)) % 0.36/0.57 (step @p67 :rule trans :premises (@p66 @p65)) % 0.36/0.57 (step @p68 :rule cong :premises (@p67 @p61) :args (@t24)) % 0.36/0.57 (step @p69 :rule cong :premises (@p57 @p68) :args (@t28)) % 0.36/0.57 (step @p70 :rule trans :premises (@p8 @p39 @p12 @p69 @p54 @p53)) % 0.36/0.57 (step @p71 :rule trans :premises (@p60 @p47)) % 0.36/0.57 (step @p72 :rule refl :args (@t23)) % 0.36/0.57 (step @p73 :rule cong :premises (@p72 @p71) :args (@t24)) % 0.36/0.57 (step @p74 :rule symm :premises (@p19)) % 0.36/0.57 (step @p75 :rule refl :args (@t24)) % 0.36/0.57 (step @p76 :rule symm :premises (@p41)) % 0.36/0.57 (step @p77 :rule cong :premises (@p76 @p75) :args (@t28)) % 0.36/0.57 (step @p78 :rule trans :premises (@p8 @p39 @p12 @p77)) % 0.36/0.57 (step @p79 :rule cong :premises (@p78 @p38) :args (@t10)) % 0.36/0.57 (step @p80 :rule trans :premises (@p8 @p79)) % 0.36/0.57 (step @p81 :rule cong :premises (@p80 @p40) :args (@t10)) % 0.36/0.57 (step @p82 :rule trans :premises (@p8 @p81)) % 0.36/0.57 (step @p83 :rule cong :premises (@p38 @p82) :args (@t10)) % 0.36/0.57 (step @p84 :rule trans :premises (@p8 @p83 @p74 @p73)) % 0.36/0.57 (step @p85 :rule cong :premises (@p84 @p49) :args (@t25)) % 0.36/0.57 (step @p86 :rule trans :premises (@p51 @p85)) % 0.36/0.57 (step @p87 :rule cong :premises (@p86 @p36) :args (@t16)) % 0.36/0.57 (step @p88 :rule trans :premises (@p8 @p39 @p12 @p69 @p54 @p87)) % 0.36/0.57 (step @p89 :rule cong :premises (@p88 @p70) :args (@t10)) % 0.36/0.57 (step @p90 :rule symm :premises (@p39)) % 0.36/0.57 (step @p91 :rule symm :premises (@p12)) % 0.36/0.57 (step @p92 :rule symm :premises (@p69)) % 0.36/0.57 (step @p93 :rule trans :premises (@p16 @p92 @p91 @p90 @p89)) % 0.36/0.57 (step @p94 :rule symm :premises (@p15)) % 0.36/0.57 (step @p95 :rule refl :args (@t17)) % 0.36/0.57 (step @p96 :rule cong :premises (@p56 @p95) :args (@t37)) % 0.36/0.57 (step @p97 :rule trans :premises (@p96 @p94 @p47)) % 0.36/0.57 (step @p98 :rule cong :premises (@p97 @p93) :args (@t42)) % 0.36/0.57 (step @p99 :rule symm :premises (@p18)) % 0.36/0.57 (step @p100 :rule symm :premises (@p97)) % 0.36/0.57 (step @p101 :rule symm :premises (@p84)) % 0.36/0.57 (step @p102 :rule cong :premises (@p101 @p37) :args (@t48)) % 0.36/0.57 (step @p103 :rule trans :premises (@p102 @p47)) % 0.36/0.57 (step @p104 :rule trans :premises (@p103 @p100)) % 0.36/0.57 (step @p105 :rule cong :premises (@p104 @p62) :args ((tptp.divide @t48 @t16))) % 0.36/0.57 (step @p106 :rule trans :premises (@p105 @p98 @p35 @p47)) % 0.36/0.57 (step @p107 :rule symm :premises (@p105)) % 0.36/0.57 (step @p108 :rule trans :premises (@p107 @p106 @p100)) % 0.36/0.57 (step @p109 :rule cong :premises (@p108 @p99) :args ((tptp.divide @t42 @t39))) % 0.36/0.57 (step @p110 :rule symm :premises (@p13)) % 0.36/0.57 (step @p111 :rule symm :premises (@p63)) % 0.36/0.57 (step @p112 :rule trans :premises (@p111 @p110 @p8 @p39 @p12 @p69 @p54 @p18)) % 0.36/0.57 (step @p113 :rule refl :args (@t42)) % 0.36/0.57 (step @p114 :rule cong :premises (@p113 @p112) :args (@t43)) % 0.36/0.57 (step @p115 :rule trans :premises (@p114 @p109 @p98 @p35)) % 0.36/0.57 (step @p116 :rule symm :premises (@p83)) % 0.36/0.57 (step @p117 :rule symm :premises (@p60)) % 0.36/0.57 (step @p118 :rule cong :premises (@p47 @p117) :args (@t49)) % 0.36/0.57 (step @p119 :rule trans :premises (@p118 @p19 @p116 @p56)) % 0.36/0.57 (step @p120 :rule cong :premises (@p119 @p115) :args ((tptp.divide @t49 @t43))) % 0.36/0.57 (step @p121 :rule refl :args (@t43)) % 0.36/0.57 (step @p122 :rule symm :premises (@p119)) % 0.36/0.57 (step @p123 :rule cong :premises (@p122 @p121) :args (@t44)) % 0.36/0.57 (step @p124 :rule symm :premises (@p17)) % 0.36/0.57 (step @p125 :rule refl :args (@t18)) % 0.36/0.57 (step @p126 :rule symm :premises (@p55)) % 0.36/0.57 (step @p127 :rule trans :premises (@p126 @p47)) % 0.36/0.57 (step @p128 :rule trans :premises (@p127 @p100)) % 0.36/0.57 (step @p129 :rule cong :premises (@p128 @p37) :args (@t19)) % 0.36/0.57 (step @p130 :rule cong :premises (@p129 @p125) :args (@t20)) % 0.36/0.57 (step @p131 :rule cong :premises (@p38 @p130) :args (@t32)) % 0.36/0.57 (step @p132 :rule trans :premises (@p14 @p131 @p124 @p20 @p123 @p120 @p34)) % 0.36/0.57 (step-pop @p163 :rule scope :premises (@p132)) % 0.36/0.57 (step-pop @p164 :rule scope :premises (@p163)) % 0.36/0.57 (step-pop @p165 :rule scope :premises (@p164)) % 0.36/0.57 (step-pop @p166 :rule scope :premises (@p165)) % 0.36/0.57 (step-pop @p167 :rule scope :premises (@p166)) % 0.36/0.57 (step-pop @p168 :rule scope :premises (@p167)) % 0.36/0.57 (step-pop @p169 :rule scope :premises (@p168)) % 0.36/0.57 (step-pop @p170 :rule scope :premises (@p169)) % 0.36/0.57 (step-pop @p171 :rule scope :premises (@p170)) % 0.36/0.57 (step-pop @p172 :rule scope :premises (@p171)) % 0.36/0.57 (step-pop @p173 :rule scope :premises (@p172)) % 0.36/0.57 (step-pop @p174 :rule scope :premises (@p173)) % 0.36/0.57 (step @p133 :rule process_scope :premises (@p174) :args (@t50)) % 0.36/0.57 (step @p146 :rule implies_elim :premises (@p133)) % 0.36/0.57 (step @p147 :rule cnf_and_neg :args (@t51)) % 0.36/0.57 (step @p148 :rule resolution :premises (@p147 @p146) :args (true @t51)) % 0.36/0.57 (step @p149 :rule reordering :premises (@p148) :args ((or @t50 (not @t26) (not @t27) (not @t29) (not @t31) (not @t33) (not @t34) (not @t36) (not @t38) (not @t40) (not @t41) (not @t45) (not @t47)))) % 0.36/0.57 (step @p150 false :rule chain_m_resolution :premises (@p149 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p8 @p7 @p6) :args (false (@list false false false false false false false false false false false false true) (@list @t47 @t45 @t41 @t40 @t38 @t36 @t34 @t33 @t31 @t29 @t27 @t26 @t50))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------