%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP581-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:20:58 AM UTC 2026 % Result : Unsatisfiable 0.34s 0.57s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP581-1 : TPTP v9.2.1. Released v2.6.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n008.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 01:17:48 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.57 % SZS status Unsatisfiable % 0.34/0.57 % SZS output start Proof % 0.34/0.57 ( % 0.34/0.57 (declare-sort $$unsorted 0) % 0.34/0.57 (declare-const tptp.a1 $$unsorted) % 0.34/0.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.identity $$unsorted) % 0.34/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.34/0.57 (define @t2 () (tptp.double_divide tptp.identity tptp.identity)) % 0.34/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.34/0.57 (define @t4 () (@var "B" $$unsorted)) % 0.34/0.57 (define @t5 () (tptp.double_divide @t4 @t3)) % 0.34/0.57 (define @t6 () (tptp.double_divide (tptp.double_divide @t3 (tptp.double_divide (tptp.double_divide tptp.identity @t4) (tptp.double_divide @t1 @t5))) @t2)) % 0.34/0.57 (define @t7 () (forall (@list @t3 @t4 @t1) (= @t6 @t1))) % 0.34/0.57 (define @t8 () (tptp.inverse @t3)) % 0.34/0.57 (define @t9 () (@list @t3)) % 0.34/0.57 (define @t10 () (forall @t9 (= @t8 (tptp.double_divide @t3 tptp.identity)))) % 0.34/0.57 (define @t11 () (tptp.inverse tptp.a1)) % 0.34/0.57 (define @t12 () (tptp.multiply @t11 tptp.a1)) % 0.34/0.57 (define @t13 () (tptp.double_divide tptp.a1 @t11)) % 0.34/0.57 (define @t14 () (tptp.inverse @t13)) % 0.34/0.57 (define @t15 () (tptp.double_divide @t13 tptp.identity)) % 0.34/0.57 (define @t16 () (= @t14 @t15)) % 0.34/0.57 (define @t17 () (@list @t13)) % 0.34/0.57 (define @t18 () (= @t15 @t14)) % 0.34/0.57 (define @t19 () (@list false)) % 0.34/0.57 (define @t20 () (@list @t10)) % 0.34/0.57 (define @t21 () (tptp.double_divide @t11 (tptp.double_divide (tptp.double_divide tptp.identity tptp.a1) (tptp.double_divide @t13 @t13)))) % 0.34/0.57 (define @t22 () (tptp.inverse @t15)) % 0.34/0.57 (define @t23 () (tptp.double_divide @t15 tptp.identity)) % 0.34/0.57 (define @t24 () (= @t22 @t23)) % 0.34/0.57 (define @t25 () (@list @t15)) % 0.34/0.57 (define @t26 () (= @t23 @t22)) % 0.34/0.57 (define @t27 () (tptp.double_divide @t21 @t2)) % 0.34/0.57 (define @t28 () (tptp.double_divide tptp.identity @t21)) % 0.34/0.57 (define @t29 () (tptp.double_divide @t2 (tptp.double_divide @t28 (tptp.double_divide @t15 @t27)))) % 0.34/0.57 (define @t30 () (= @t12 @t15)) % 0.34/0.57 (define @t31 () (= tptp.identity @t13)) % 0.34/0.57 (define @t32 () (= @t13 @t27)) % 0.34/0.57 (define @t33 () (tptp.double_divide @t2 (tptp.double_divide @t28 (tptp.double_divide @t13 @t27)))) % 0.34/0.57 (define @t34 () (= @t13 (tptp.double_divide @t33 @t2))) % 0.34/0.57 (define @t35 () (tptp.double_divide @t29 @t2)) % 0.34/0.57 (define @t36 () (= @t15 @t35)) % 0.34/0.57 (define @t37 () (tptp.double_divide @t13 @t14)) % 0.34/0.57 (define @t38 () (= tptp.identity @t37)) % 0.34/0.57 (define @t39 () (tptp.double_divide @t21 @t35)) % 0.34/0.57 (define @t40 () (tptp.double_divide tptp.identity @t29)) % 0.34/0.57 (define @t41 () (tptp.double_divide @t40 @t39)) % 0.34/0.57 (define @t42 () (tptp.double_divide @t2 @t41)) % 0.34/0.57 (define @t43 () (tptp.double_divide @t42 @t2)) % 0.34/0.57 (define @t44 () (= @t21 @t43)) % 0.34/0.57 (define @t45 () (= @t28 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity @t15) (tptp.double_divide @t28 @t23))) @t2))) % 0.34/0.57 (define @t46 () (= @t13 (tptp.double_divide (tptp.double_divide @t2 (tptp.double_divide @t40 (tptp.double_divide @t13 @t35))) @t2))) % 0.34/0.57 (define @t47 () (tptp.double_divide @t15 @t22)) % 0.34/0.57 (define @t48 () (= tptp.identity @t47)) % 0.34/0.57 (define @t49 () (tptp.double_divide @t33 @t35)) % 0.34/0.57 (define @t50 () (tptp.double_divide @t40 @t49)) % 0.34/0.57 (define @t51 () (tptp.double_divide @t2 @t50)) % 0.34/0.57 (define @t52 () (tptp.double_divide @t15 @t37)) % 0.34/0.57 (define @t53 () (tptp.double_divide tptp.identity @t13)) % 0.34/0.57 (define @t54 () (= tptp.identity @t12)) % 0.34/0.57 (define @t55 () (and @t30 @t31 @t32 @t18 @t34 @t36 @t26 @t38 @t44 @t45 @t46 @t48)) % 0.34/0.57 (assume @p1 @t7) % 0.34/0.57 (assume @p2 (forall (@list @t3 @t4) (= (tptp.multiply @t3 @t4) (tptp.double_divide @t5 tptp.identity)))) % 0.34/0.57 (assume @p3 @t10) % 0.34/0.57 (assume @p4 (forall @t9 (= tptp.identity (tptp.double_divide @t3 @t8)))) % 0.34/0.57 (assume @p5 (not (= @t12 tptp.identity))) % 0.34/0.57 (step @p6 :rule symm :premises (@p5)) % 0.34/0.57 (step @p7 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.a1))) % 0.34/0.57 (step @p8 :rule instantiate :premises (@p4) :args ((@list tptp.a1))) % 0.34/0.57 (step @p9 :rule eq-symm :args (@t6 @t1)) % 0.34/0.57 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 0.34/0.57 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.34/0.57 (step @p12 :rule instantiate :premises (@p11) :args ((@list @t11 tptp.a1 @t13))) % 0.34/0.57 (step @p13 :rule eq-symm :args (@t14 @t15)) % 0.34/0.57 (step @p14 :rule refl :args (@t10)) % 0.34/0.57 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t10 @t16))) % 0.34/0.57 (assume-push @p128 @t10) % 0.34/0.57 (step @p17 :rule instantiate :premises (@p3) :args (@t17)) % 0.34/0.57 (step-pop @p129 :rule scope :premises (@p17)) % 0.34/0.57 (step @p18 :rule process_scope :premises (@p129) :args (@t16)) % 0.34/0.57 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.34/0.57 (step @p21 :rule implies_elim :premises (@p20)) % 0.34/0.57 (step @p22 :rule chain_m_resolution :premises (@p21 @p3) :args (@t18 @t19 @t20)) % 0.34/0.57 (step @p23 :rule instantiate :premises (@p11) :args ((@list @t2 @t21 @t13))) % 0.34/0.57 (step @p24 :rule instantiate :premises (@p11) :args ((@list @t2 @t21 @t15))) % 0.34/0.57 (step @p25 :rule eq-symm :args (@t22 @t23)) % 0.34/0.57 (step @p26 :rule cong :premises (@p14 @p25) :args ((=> @t10 @t24))) % 0.34/0.57 (assume-push @p130 @t10) % 0.34/0.57 (step @p28 :rule instantiate :premises (@p3) :args (@t25)) % 0.34/0.57 (step-pop @p131 :rule scope :premises (@p28)) % 0.34/0.57 (step @p29 :rule process_scope :premises (@p131) :args (@t24)) % 0.34/0.57 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.34/0.57 (step @p32 :rule implies_elim :premises (@p31)) % 0.34/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p3) :args (@t26 @t19 @t20)) % 0.34/0.57 (step @p34 :rule instantiate :premises (@p4) :args (@t17)) % 0.34/0.57 (step @p35 :rule instantiate :premises (@p11) :args ((@list @t2 @t29 @t21))) % 0.34/0.57 (step @p36 :rule instantiate :premises (@p11) :args ((@list tptp.identity @t15 @t28))) % 0.34/0.57 (step @p37 :rule instantiate :premises (@p11) :args ((@list @t2 @t29 @t13))) % 0.34/0.57 (step @p38 :rule instantiate :premises (@p4) :args (@t25)) % 0.34/0.57 (assume-push @p132 @t30) % 0.34/0.57 (assume-push @p133 @t31) % 0.34/0.57 (assume-push @p134 @t32) % 0.34/0.57 (assume-push @p135 @t18) % 0.34/0.57 (assume-push @p136 @t34) % 0.34/0.57 (assume-push @p137 @t36) % 0.34/0.57 (assume-push @p138 @t26) % 0.34/0.57 (assume-push @p139 @t38) % 0.34/0.57 (assume-push @p140 @t44) % 0.34/0.57 (assume-push @p141 @t45) % 0.34/0.57 (assume-push @p142 @t46) % 0.34/0.57 (assume-push @p143 @t48) % 0.34/0.57 (step @p51 :rule symm :premises (@p7)) % 0.34/0.57 (step @p52 :rule refl :args (tptp.identity)) % 0.34/0.57 (step @p53 :rule cong :premises (@p8 @p52) :args (@t2)) % 0.34/0.57 (step @p54 :rule symm :premises (@p8)) % 0.34/0.57 (step @p55 :rule symm :premises (@p37)) % 0.34/0.57 (step @p56 :rule refl :args (@t2)) % 0.34/0.57 (step @p17 :rule instantiate :premises (@p3) :args (@t17)) % 0.34/0.57 (step @p57 :rule trans :premises (@p17 @p24)) % 0.34/0.57 (step @p58 :rule refl :args (@t13)) % 0.34/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args (@t37)) % 0.34/0.57 (step @p60 :rule symm :premises (@p12)) % 0.34/0.57 (step @p61 :rule symm :premises (@p53)) % 0.34/0.57 (step @p62 :rule refl :args (@t21)) % 0.34/0.57 (step @p63 :rule cong :premises (@p62 @p61) :args ((tptp.double_divide @t21 @t15))) % 0.34/0.57 (step @p64 :rule symm :premises (@p24)) % 0.34/0.57 (step @p65 :rule cong :premises (@p62 @p64) :args (@t39)) % 0.34/0.57 (step @p66 :rule trans :premises (@p65 @p63 @p60 @p54 @p34 @p59)) % 0.34/0.57 (step @p67 :rule refl :args (@t40)) % 0.34/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args (@t41)) % 0.34/0.57 (step @p69 :rule cong :premises (@p56 @p68) :args (@t42)) % 0.34/0.57 (step @p70 :rule symm :premises (@p65)) % 0.34/0.57 (step @p71 :rule symm :premises (@p63)) % 0.34/0.57 (step @p72 :rule symm :premises (@p23)) % 0.34/0.57 (step @p73 :rule trans :premises (@p64 @p61)) % 0.34/0.57 (step @p74 :rule refl :args (@t33)) % 0.34/0.57 (step @p75 :rule cong :premises (@p74 @p73) :args (@t49)) % 0.34/0.57 (step @p76 :rule trans :premises (@p75 @p72 @p12 @p71 @p70)) % 0.34/0.57 (step @p77 :rule cong :premises (@p67 @p76) :args (@t50)) % 0.34/0.57 (step @p78 :rule cong :premises (@p56 @p77) :args (@t51)) % 0.34/0.57 (step @p79 :rule trans :premises (@p78 @p69)) % 0.34/0.57 (step @p80 :rule cong :premises (@p79 @p56) :args ((tptp.double_divide @t51 @t2))) % 0.34/0.57 (step @p81 :rule symm :premises (@p78)) % 0.34/0.57 (step @p82 :rule cong :premises (@p81 @p56) :args (@t43)) % 0.34/0.57 (step @p83 :rule trans :premises (@p35 @p82 @p80 @p55 @p54)) % 0.34/0.57 (step @p84 :rule cong :premises (@p52 @p83) :args (@t28)) % 0.34/0.57 (step @p85 :rule symm :premises (@p36)) % 0.34/0.57 (step @p86 :rule trans :premises (@p17 @p61)) % 0.34/0.57 (step @p87 :rule symm :premises (@p34)) % 0.34/0.57 (step @p88 :rule refl :args (@t15)) % 0.34/0.57 (step @p89 :rule cong :premises (@p88 @p87) :args (@t52)) % 0.34/0.57 (step @p90 :rule symm :premises (@p84)) % 0.34/0.57 (step @p91 :rule trans :premises (@p61 @p90)) % 0.34/0.57 (step @p92 :rule cong :premises (@p52 @p54) :args (@t53)) % 0.34/0.57 (step @p93 :rule trans :premises (@p92 @p53)) % 0.34/0.57 (step @p94 :rule trans :premises (@p93 @p91)) % 0.34/0.57 (step @p95 :rule cong :premises (@p94 @p89) :args ((tptp.double_divide @t53 @t52))) % 0.34/0.57 (step @p96 :rule symm :premises (@p89)) % 0.34/0.57 (step @p28 :rule instantiate :premises (@p3) :args (@t25)) % 0.34/0.57 (step @p97 :rule trans :premises (@p28 @p96)) % 0.34/0.57 (step @p98 :rule symm :premises (@p93)) % 0.34/0.57 (step @p99 :rule cong :premises (@p98 @p97) :args (@t47)) % 0.34/0.57 (step @p100 :rule trans :premises (@p38 @p99 @p95)) % 0.34/0.57 (step @p101 :rule cong :premises (@p54 @p17) :args (@t37)) % 0.34/0.57 (step @p102 :rule trans :premises (@p54 @p34 @p101)) % 0.34/0.57 (step @p103 :rule trans :premises (@p8 @p102)) % 0.34/0.57 (step @p104 :rule cong :premises (@p103 @p100) :args (@t2)) % 0.34/0.57 (step @p105 :rule trans :premises (@p17 @p61 @p104)) % 0.34/0.57 (step @p106 :rule cong :premises (@p54 @p105) :args (@t37)) % 0.34/0.57 (step @p107 :rule trans :premises (@p54 @p34 @p106)) % 0.34/0.57 (step @p108 :rule cong :premises (@p107 @p86) :args (@t37)) % 0.34/0.57 (step @p109 :rule trans :premises (@p34 @p108 @p85 @p84 @p53 @p51)) % 0.34/0.57 (step-pop @p144 :rule scope :premises (@p109)) % 0.34/0.57 (step-pop @p145 :rule scope :premises (@p144)) % 0.34/0.57 (step-pop @p146 :rule scope :premises (@p145)) % 0.34/0.57 (step-pop @p147 :rule scope :premises (@p146)) % 0.34/0.57 (step-pop @p148 :rule scope :premises (@p147)) % 0.34/0.57 (step-pop @p149 :rule scope :premises (@p148)) % 0.34/0.57 (step-pop @p150 :rule scope :premises (@p149)) % 0.34/0.57 (step-pop @p151 :rule scope :premises (@p150)) % 0.34/0.57 (step-pop @p152 :rule scope :premises (@p151)) % 0.34/0.57 (step-pop @p153 :rule scope :premises (@p152)) % 0.34/0.57 (step-pop @p154 :rule scope :premises (@p153)) % 0.34/0.57 (step-pop @p155 :rule scope :premises (@p154)) % 0.34/0.57 (step @p110 :rule process_scope :premises (@p155) :args (@t54)) % 0.34/0.57 (step @p123 :rule implies_elim :premises (@p110)) % 0.34/0.57 (step @p124 :rule cnf_and_neg :args (@t55)) % 0.34/0.57 (step @p125 :rule resolution :premises (@p124 @p123) :args (true @t55)) % 0.34/0.57 (step @p126 :rule reordering :premises (@p125) :args ((or @t54 (not @t30) (not @t31) (not @t32) (not @t18) (not @t34) (not @t36) (not @t26) (not @t38) (not @t44) (not @t45) (not @t46) (not @t48)))) % 0.34/0.57 (step @p127 false :rule chain_m_resolution :premises (@p126 @p38 @p37 @p36 @p35 @p34 @p33 @p24 @p23 @p22 @p12 @p8 @p7 @p6) :args (false (@list false false false false false false false false false false false false true) (@list @t48 @t46 @t45 @t44 @t38 @t26 @t36 @t34 @t18 @t32 @t31 @t30 @t54))) % 0.34/0.57 ) % 0.34/0.58 % SZS output end Proof % 0.34/0.58 % cvc5 exiting %------------------------------------------------------------------------------