%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP577-1 : 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 : n017.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 08:20:57 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP577-1 : TPTP v9.2.1. Released v2.6.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n017.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 01:16:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.a1 $$unsorted) % 0.31/0.55 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.identity $$unsorted) % 0.31/0.55 (define @t1 () (@var "C" $$unsorted)) % 0.31/0.55 (define @t2 () (tptp.double_divide tptp.identity tptp.identity)) % 0.31/0.55 (define @t3 () (@var "B" $$unsorted)) % 0.31/0.55 (define @t4 () (@var "A" $$unsorted)) % 0.31/0.55 (define @t5 () (tptp.double_divide @t3 @t4)) % 0.31/0.55 (define @t6 () (tptp.double_divide (tptp.double_divide @t4 (tptp.double_divide (tptp.double_divide @t5 @t1) (tptp.double_divide @t3 tptp.identity))) @t2)) % 0.31/0.55 (define @t7 () (forall (@list @t4 @t3 @t1) (= @t6 @t1))) % 0.31/0.55 (define @t8 () (tptp.inverse @t4)) % 0.31/0.55 (define @t9 () (@list @t4)) % 0.31/0.55 (define @t10 () (forall @t9 (= @t8 (tptp.double_divide @t4 tptp.identity)))) % 0.31/0.55 (define @t11 () (tptp.inverse tptp.a1)) % 0.31/0.55 (define @t12 () (tptp.multiply @t11 tptp.a1)) % 0.31/0.55 (define @t13 () (tptp.double_divide tptp.a1 @t11)) % 0.31/0.55 (define @t14 () (tptp.inverse @t13)) % 0.31/0.55 (define @t15 () (tptp.double_divide @t13 tptp.identity)) % 0.31/0.55 (define @t16 () (= @t14 @t15)) % 0.31/0.55 (define @t17 () (@list @t13)) % 0.31/0.55 (define @t18 () (= @t15 @t14)) % 0.31/0.55 (define @t19 () (@list false)) % 0.31/0.55 (define @t20 () (@list @t10)) % 0.31/0.55 (define @t21 () (tptp.inverse @t15)) % 0.31/0.55 (define @t22 () (tptp.double_divide @t15 tptp.identity)) % 0.31/0.55 (define @t23 () (= @t21 @t22)) % 0.31/0.55 (define @t24 () (@list @t15)) % 0.31/0.55 (define @t25 () (= @t22 @t21)) % 0.31/0.55 (define @t26 () (tptp.double_divide tptp.a1 tptp.identity)) % 0.31/0.55 (define @t27 () (tptp.double_divide (tptp.double_divide @t26 tptp.identity) @t26)) % 0.31/0.55 (define @t28 () (= @t12 @t15)) % 0.31/0.55 (define @t29 () (= tptp.identity @t13)) % 0.31/0.55 (define @t30 () (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity @t27) @t2))) % 0.31/0.55 (define @t31 () (tptp.double_divide @t13 @t14)) % 0.31/0.55 (define @t32 () (= tptp.identity @t31)) % 0.31/0.55 (define @t33 () (tptp.double_divide @t31 tptp.identity)) % 0.31/0.55 (define @t34 () (tptp.double_divide @t33 @t15)) % 0.31/0.55 (define @t35 () (tptp.double_divide @t14 @t34)) % 0.31/0.55 (define @t36 () (tptp.double_divide @t35 @t2)) % 0.31/0.55 (define @t37 () (= tptp.identity @t36)) % 0.31/0.55 (define @t38 () (= @t15 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide @t22 @t15) @t22)) @t2))) % 0.31/0.55 (define @t39 () (tptp.double_divide @t31 @t27)) % 0.31/0.55 (define @t40 () (tptp.double_divide @t39 @t15)) % 0.31/0.55 (define @t41 () (tptp.double_divide @t14 @t40)) % 0.31/0.55 (define @t42 () (tptp.double_divide @t41 @t2)) % 0.31/0.55 (define @t43 () (= @t27 @t42)) % 0.31/0.55 (define @t44 () (tptp.double_divide @t31 @t14)) % 0.31/0.55 (define @t45 () (tptp.double_divide @t44 @t15)) % 0.31/0.55 (define @t46 () (tptp.double_divide @t14 @t45)) % 0.31/0.55 (define @t47 () (tptp.double_divide @t46 @t2)) % 0.31/0.55 (define @t48 () (= @t14 @t47)) % 0.31/0.55 (define @t49 () (tptp.double_divide @t15 @t21)) % 0.31/0.55 (define @t50 () (= tptp.identity @t49)) % 0.31/0.55 (define @t51 () (= tptp.identity @t12)) % 0.31/0.55 (define @t52 () (and @t28 @t29 @t18 @t30 @t25 @t32 @t37 @t38 @t43 @t48 @t50)) % 0.31/0.55 (assume @p1 @t7) % 0.31/0.55 (assume @p2 (forall (@list @t4 @t3) (= (tptp.multiply @t4 @t3) (tptp.double_divide @t5 tptp.identity)))) % 0.31/0.55 (assume @p3 @t10) % 0.31/0.55 (assume @p4 (forall @t9 (= tptp.identity (tptp.double_divide @t4 @t8)))) % 0.31/0.55 (assume @p5 (not (= @t12 tptp.identity))) % 0.31/0.55 (step @p6 :rule symm :premises (@p5)) % 0.31/0.55 (step @p7 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.a1))) % 0.31/0.55 (step @p8 :rule instantiate :premises (@p4) :args ((@list tptp.a1))) % 0.31/0.55 (step @p9 :rule eq-symm :args (@t14 @t15)) % 0.31/0.55 (step @p10 :rule refl :args (@t10)) % 0.31/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((=> @t10 @t16))) % 0.31/0.55 (assume-push @p109 @t10) % 0.31/0.55 (step @p13 :rule instantiate :premises (@p3) :args (@t17)) % 0.31/0.55 (step-pop @p110 :rule scope :premises (@p13)) % 0.31/0.55 (step @p14 :rule process_scope :premises (@p110) :args (@t16)) % 0.31/0.55 (step @p16 :rule eq_resolve :premises (@p14 @p11)) % 0.31/0.55 (step @p17 :rule implies_elim :premises (@p16)) % 0.31/0.55 (step @p18 :rule chain_m_resolution :premises (@p17 @p3) :args (@t18 @t19 @t20)) % 0.31/0.55 (step @p19 :rule eq-symm :args (@t6 @t1)) % 0.31/0.55 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 0.31/0.55 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.31/0.55 (step @p22 :rule instantiate :premises (@p21) :args ((@list tptp.identity tptp.a1 tptp.identity))) % 0.31/0.55 (step @p23 :rule eq-symm :args (@t21 @t22)) % 0.31/0.55 (step @p24 :rule cong :premises (@p10 @p23) :args ((=> @t10 @t23))) % 0.31/0.55 (assume-push @p111 @t10) % 0.31/0.55 (step @p26 :rule instantiate :premises (@p3) :args (@t24)) % 0.31/0.55 (step-pop @p112 :rule scope :premises (@p26)) % 0.31/0.55 (step @p27 :rule process_scope :premises (@p112) :args (@t23)) % 0.31/0.55 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.31/0.55 (step @p30 :rule implies_elim :premises (@p29)) % 0.31/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p3) :args (@t25 @t19 @t20)) % 0.31/0.55 (step @p32 :rule instantiate :premises (@p4) :args (@t17)) % 0.31/0.55 (step @p33 :rule instantiate :premises (@p21) :args ((@list @t14 @t13 tptp.identity))) % 0.31/0.55 (step @p34 :rule instantiate :premises (@p21) :args ((@list tptp.identity @t15 @t15))) % 0.31/0.55 (step @p35 :rule instantiate :premises (@p21) :args ((@list @t14 @t13 @t27))) % 0.31/0.55 (step @p36 :rule instantiate :premises (@p21) :args ((@list @t14 @t13 @t14))) % 0.31/0.55 (step @p37 :rule instantiate :premises (@p4) :args (@t24)) % 0.31/0.55 (assume-push @p113 @t28) % 0.31/0.55 (assume-push @p114 @t29) % 0.31/0.55 (assume-push @p115 @t18) % 0.31/0.55 (assume-push @p116 @t30) % 0.31/0.55 (assume-push @p117 @t25) % 0.31/0.55 (assume-push @p118 @t32) % 0.31/0.55 (assume-push @p119 @t37) % 0.31/0.55 (assume-push @p120 @t38) % 0.31/0.55 (assume-push @p121 @t43) % 0.31/0.55 (assume-push @p122 @t48) % 0.31/0.55 (assume-push @p123 @t50) % 0.31/0.55 (step @p49 :rule symm :premises (@p7)) % 0.31/0.55 (step @p50 :rule symm :premises (@p34)) % 0.31/0.55 (step @p51 :rule refl :args (tptp.identity)) % 0.31/0.55 (step @p52 :rule symm :premises (@p8)) % 0.31/0.55 (step @p53 :rule cong :premises (@p52 @p51) :args (@t15)) % 0.31/0.55 (step @p26 :rule instantiate :premises (@p3) :args (@t24)) % 0.31/0.55 (step @p54 :rule symm :premises (@p53)) % 0.31/0.55 (step @p55 :rule symm :premises (@p22)) % 0.31/0.55 (step @p56 :rule refl :args (@t27)) % 0.31/0.55 (step @p57 :rule symm :premises (@p32)) % 0.31/0.55 (step @p58 :rule cong :premises (@p57 @p56) :args (@t39)) % 0.31/0.55 (step @p59 :rule cong :premises (@p58 @p53) :args (@t40)) % 0.31/0.55 (step @p60 :rule trans :premises (@p59 @p55)) % 0.31/0.55 (step @p13 :rule instantiate :premises (@p3) :args (@t17)) % 0.31/0.55 (step @p61 :rule cong :premises (@p13 @p60) :args (@t41)) % 0.31/0.55 (step @p62 :rule cong :premises (@p61 @p54) :args (@t42)) % 0.31/0.55 (step @p63 :rule trans :premises (@p35 @p62)) % 0.31/0.55 (step @p64 :rule symm :premises (@p35)) % 0.31/0.55 (step @p65 :rule symm :premises (@p62)) % 0.31/0.55 (step @p66 :rule refl :args (@t14)) % 0.31/0.55 (step @p67 :rule trans :premises (@p57 @p8)) % 0.31/0.55 (step @p68 :rule cong :premises (@p67 @p66) :args (@t44)) % 0.31/0.55 (step @p69 :rule trans :premises (@p68 @p57 @p8)) % 0.31/0.55 (step @p70 :rule cong :premises (@p69 @p18) :args (@t45)) % 0.31/0.55 (step @p71 :rule trans :premises (@p70 @p57)) % 0.31/0.55 (step @p72 :rule cong :premises (@p13 @p71) :args (@t46)) % 0.31/0.55 (step @p73 :rule cong :premises (@p72 @p54) :args (@t47)) % 0.31/0.55 (step @p74 :rule trans :premises (@p18 @p36 @p73 @p65 @p64)) % 0.31/0.55 (step @p75 :rule trans :premises (@p74 @p63)) % 0.31/0.55 (step @p76 :rule cong :premises (@p75 @p26) :args (@t49)) % 0.31/0.55 (step @p77 :rule trans :premises (@p37 @p76)) % 0.31/0.55 (step @p78 :rule cong :premises (@p51 @p77) :args (@t2)) % 0.31/0.55 (step @p79 :rule trans :premises (@p53 @p78)) % 0.31/0.55 (step @p80 :rule cong :premises (@p57 @p51) :args (@t33)) % 0.31/0.55 (step @p81 :rule trans :premises (@p80 @p54)) % 0.31/0.55 (step @p82 :rule trans :premises (@p81 @p79)) % 0.31/0.55 (step @p83 :rule cong :premises (@p82 @p53) :args (@t34)) % 0.31/0.55 (step @p84 :rule symm :premises (@p81)) % 0.31/0.55 (step @p85 :rule trans :premises (@p83 @p50)) % 0.31/0.55 (step @p86 :rule trans :premises (@p13 @p84)) % 0.31/0.55 (step @p87 :rule cong :premises (@p86 @p85) :args (@t35)) % 0.31/0.55 (step @p88 :rule trans :premises (@p87 @p83 @p50)) % 0.31/0.55 (step @p89 :rule trans :premises (@p88 @p84)) % 0.31/0.55 (step @p90 :rule cong :premises (@p89 @p54) :args (@t36)) % 0.31/0.55 (step @p91 :rule trans :premises (@p33 @p90 @p83 @p50 @p49)) % 0.31/0.55 (step-pop @p124 :rule scope :premises (@p91)) % 0.31/0.55 (step-pop @p125 :rule scope :premises (@p124)) % 0.31/0.55 (step-pop @p126 :rule scope :premises (@p125)) % 0.31/0.55 (step-pop @p127 :rule scope :premises (@p126)) % 0.31/0.55 (step-pop @p128 :rule scope :premises (@p127)) % 0.31/0.55 (step-pop @p129 :rule scope :premises (@p128)) % 0.31/0.55 (step-pop @p130 :rule scope :premises (@p129)) % 0.31/0.55 (step-pop @p131 :rule scope :premises (@p130)) % 0.31/0.55 (step-pop @p132 :rule scope :premises (@p131)) % 0.31/0.55 (step-pop @p133 :rule scope :premises (@p132)) % 0.31/0.55 (step-pop @p134 :rule scope :premises (@p133)) % 0.31/0.55 (step @p92 :rule process_scope :premises (@p134) :args (@t51)) % 0.31/0.55 (step @p104 :rule implies_elim :premises (@p92)) % 0.31/0.55 (step @p105 :rule cnf_and_neg :args (@t52)) % 0.31/0.55 (step @p106 :rule resolution :premises (@p105 @p104) :args (true @t52)) % 0.31/0.55 (step @p107 :rule reordering :premises (@p106) :args ((or @t51 (not @t28) (not @t29) (not @t18) (not @t30) (not @t25) (not @t32) (not @t37) (not @t38) (not @t43) (not @t48) (not @t50)))) % 0.31/0.55 (step @p108 false :rule chain_m_resolution :premises (@p107 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p22 @p18 @p8 @p7 @p6) :args (false (@list false false false false false false false false false false false true) (@list @t50 @t48 @t43 @t38 @t37 @t32 @t25 @t30 @t18 @t29 @t28 @t51))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------