%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP490-1 : 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 : n002.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 08:20:48 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 : GRP490-1 : TPTP v9.2.1. Released v2.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n002.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 01:12:48 EDT 2026 % 0.15/0.33 % 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 $$unsorted 0) % 0.36/0.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.identity $$unsorted) % 0.36/0.57 (declare-const tptp.a1 $$unsorted) % 0.36/0.57 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.36/0.57 (define @t4 () (tptp.double_divide (tptp.double_divide tptp.identity @t3) (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide @t3 @t2) tptp.identity) (tptp.double_divide @t1 @t2))))) % 0.36/0.57 (define @t5 () (@list @t3 @t2 @t1)) % 0.36/0.57 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.36/0.57 (define @t7 () (tptp.inverse @t3)) % 0.36/0.57 (define @t8 () (@list @t3)) % 0.36/0.57 (define @t9 () (forall @t8 (= @t7 (tptp.double_divide @t3 tptp.identity)))) % 0.36/0.57 (define @t10 () (tptp.inverse tptp.a1)) % 0.36/0.57 (define @t11 () (tptp.double_divide tptp.a1 @t10)) % 0.36/0.57 (define @t12 () (tptp.double_divide @t11 tptp.identity)) % 0.36/0.57 (define @t13 () (tptp.inverse @t12)) % 0.36/0.57 (define @t14 () (tptp.double_divide @t12 @t11)) % 0.36/0.57 (define @t15 () (tptp.double_divide tptp.identity @t14)) % 0.36/0.57 (define @t16 () (tptp.double_divide @t12 tptp.identity)) % 0.36/0.57 (define @t17 () (@list @t16)) % 0.36/0.57 (define @t18 () (tptp.inverse @t11)) % 0.36/0.57 (define @t19 () (@list @t11)) % 0.36/0.57 (define @t20 () (tptp.double_divide tptp.identity @t11)) % 0.36/0.57 (define @t21 () (tptp.double_divide @t12 @t13)) % 0.36/0.57 (define @t22 () (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide @t21 tptp.identity) @t21))) % 0.36/0.57 (define @t23 () (tptp.double_divide @t20 @t22)) % 0.36/0.57 (define @t24 () (tptp.double_divide @t23 tptp.identity)) % 0.36/0.57 (define @t25 () (tptp.double_divide tptp.identity @t12)) % 0.36/0.57 (define @t26 () (tptp.double_divide @t24 (tptp.double_divide @t25 @t22))) % 0.36/0.57 (define @t27 () (tptp.double_divide tptp.identity @t26)) % 0.36/0.57 (define @t28 () (= @t18 @t12)) % 0.36/0.57 (define @t29 () (tptp.double_divide tptp.identity @t20)) % 0.36/0.57 (define @t30 () (tptp.double_divide @t29 @t27)) % 0.36/0.57 (define @t31 () (= @t25 @t30)) % 0.36/0.57 (define @t32 () (forall @t5 (= @t1 @t4))) % 0.36/0.57 (assume @p1 @t6) % 0.36/0.57 (assume @p2 (forall (@list @t3 @t2) (= (tptp.multiply @t3 @t2) (tptp.double_divide (tptp.double_divide @t2 @t3) tptp.identity)))) % 0.36/0.57 (assume @p3 @t9) % 0.36/0.57 (assume @p4 (forall @t8 (= tptp.identity (tptp.double_divide @t3 @t7)))) % 0.36/0.57 (assume @p5 (not (= (tptp.multiply @t10 tptp.a1) tptp.identity))) % 0.36/0.57 (step @p6 :rule eq-symm :args (@t4 @t1)) % 0.36/0.57 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 0.36/0.57 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.36/0.57 (step @p9 :rule symm :premises (@p5)) % 0.36/0.57 (step @p10 :rule false_intro :premises (@p9)) % 0.36/0.57 (step @p11 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.a1))) % 0.36/0.57 (step @p12 :rule symm :premises (@p11)) % 0.36/0.57 (step @p13 :rule instantiate :premises (@p8) :args ((@list @t12 @t13 @t12))) % 0.36/0.57 (step @p14 :rule symm :premises (@p13)) % 0.36/0.57 (step @p15 :rule instantiate :premises (@p4) :args ((@list @t12))) % 0.36/0.57 (step @p16 :rule instantiate :premises (@p4) :args ((@list tptp.a1))) % 0.36/0.57 (step @p17 :rule symm :premises (@p16)) % 0.36/0.57 (step @p18 :rule trans :premises (@p17 @p15)) % 0.36/0.57 (step @p19 :rule refl :args (tptp.identity)) % 0.36/0.57 (step @p20 :rule cong :premises (@p18 @p19) :args (@t12)) % 0.36/0.57 (step @p21 :rule cong :premises (@p20 @p18) :args (@t14)) % 0.36/0.57 (step @p22 :rule cong :premises (@p19 @p21) :args (@t15)) % 0.36/0.57 (step @p23 :rule refl :args (@t12)) % 0.36/0.57 (step @p24 :rule cong :premises (@p23 @p16) :args (@t16)) % 0.36/0.57 (step @p25 :rule instantiate :premises (@p8) :args ((@list @t11 tptp.identity @t16))) % 0.36/0.57 (step @p26 :rule symm :premises (@p25)) % 0.36/0.57 (step @p27 :rule instantiate :premises (@p3) :args (@t17)) % 0.36/0.57 (step @p28 :rule refl :args (@t16)) % 0.36/0.57 (step @p29 :rule cong :premises (@p28 @p27) :args ((tptp.double_divide @t16 (tptp.inverse @t16)))) % 0.36/0.57 (step @p30 :rule instantiate :premises (@p4) :args (@t17)) % 0.36/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.36/0.57 (step @p32 :rule cong :premises (@p17 @p31) :args (@t12)) % 0.36/0.57 (step @p33 :rule trans :premises (@p14 @p32)) % 0.36/0.57 (step @p34 :rule cong :premises (@p17 @p16) :args (@t12)) % 0.36/0.57 (step @p35 :rule instantiate :premises (@p8) :args ((@list @t11 @t18 @t11))) % 0.36/0.57 (step @p36 :rule symm :premises (@p35)) % 0.36/0.57 (step @p37 :rule instantiate :premises (@p4) :args (@t19)) % 0.36/0.57 (step @p38 :rule trans :premises (@p17 @p37)) % 0.36/0.57 (step @p39 :rule cong :premises (@p38 @p19) :args (@t12)) % 0.36/0.57 (step @p40 :rule cong :premises (@p39 @p38) :args (@t14)) % 0.36/0.57 (step @p41 :rule cong :premises (@p19 @p40) :args (@t15)) % 0.36/0.57 (step @p42 :rule symm :premises (@p22)) % 0.36/0.57 (step @p43 :rule trans :premises (@p42 @p41)) % 0.36/0.57 (step @p44 :rule refl :args (@t20)) % 0.36/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args (@t23)) % 0.36/0.57 (step @p46 :rule trans :premises (@p45 @p36)) % 0.36/0.57 (step @p47 :rule cong :premises (@p46 @p19) :args (@t24)) % 0.36/0.57 (step @p48 :rule trans :premises (@p47 @p34)) % 0.36/0.57 (step @p49 :rule cong :premises (@p48 @p33) :args (@t26)) % 0.36/0.57 (step @p50 :rule trans :premises (@p49 @p26 @p24)) % 0.36/0.57 (step @p51 :rule cong :premises (@p19 @p50) :args (@t27)) % 0.36/0.57 (step @p52 :rule trans :premises (@p51 @p22)) % 0.36/0.57 (step @p53 :rule eq-symm :args (@t18 @t12)) % 0.36/0.57 (step @p54 :rule refl :args (@t9)) % 0.36/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t9 @t28))) % 0.36/0.57 (assume-push @p84 @t9) % 0.36/0.57 (step @p57 :rule instantiate :premises (@p3) :args (@t19)) % 0.36/0.57 (step-pop @p85 :rule scope :premises (@p57)) % 0.36/0.57 (step @p58 :rule process_scope :premises (@p85) :args (@t28)) % 0.36/0.57 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 0.36/0.57 (step @p61 :rule implies_elim :premises (@p60)) % 0.36/0.57 (step @p62 :rule chain_m_resolution :premises (@p61 @p3) :args ((= @t12 @t18) (@list false) (@list @t9))) % 0.36/0.57 (step @p63 :rule cong :premises (@p16 @p62) :args (@t25)) % 0.36/0.57 (step @p64 :rule symm :premises (@p63)) % 0.36/0.57 (step @p65 :rule trans :premises (@p17 @p37 @p64)) % 0.36/0.57 (step @p66 :rule symm :premises (@p37)) % 0.36/0.57 (step @p67 :rule symm :premises (@p34)) % 0.36/0.57 (step @p68 :rule trans :premises (@p67 @p62)) % 0.36/0.57 (step @p69 :rule cong :premises (@p16 @p68) :args (@t29)) % 0.36/0.57 (step @p70 :rule trans :premises (@p69 @p66 @p16)) % 0.36/0.57 (step @p71 :rule trans :premises (@p70 @p65)) % 0.36/0.57 (step @p72 :rule cong :premises (@p71 @p52) :args (@t30)) % 0.36/0.57 (step @p73 :rule trans :premises (@p72 @p14 @p12)) % 0.36/0.57 (step @p74 :rule trans :premises (@p63 @p66)) % 0.36/0.57 (step @p75 :rule cong :premises (@p74 @p73) :args (@t31)) % 0.36/0.57 (step @p76 :rule trans :premises (@p75 @p10)) % 0.36/0.57 (step @p77 :rule false_elim :premises (@p76)) % 0.36/0.57 (assume-push @p86 @t32) % 0.36/0.57 (step @p79 :rule instantiate :premises (@p8) :args ((@list @t20 @t22 @t25))) % 0.36/0.57 (step-pop @p87 :rule scope :premises (@p79)) % 0.36/0.57 (step @p80 :rule process_scope :premises (@p87) :args (@t31)) % 0.36/0.57 (step @p82 :rule implies_elim :premises (@p80)) % 0.36/0.57 (step @p83 false :rule chain_m_resolution :premises (@p82 @p77 @p8) :args (false (@list true false) (@list @t31 @t32))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------