%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP461-1 : 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 : n028.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 0.30s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP461-1 : 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 % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:09:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.56 % SZS status Unsatisfiable % 0.30/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.a2 $$unsorted) % 0.38/0.56 (declare-const tptp.identity $$unsorted) % 0.38/0.56 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t4 () (tptp.divide @t3 @t3)) % 0.38/0.56 (define @t5 () (tptp.divide tptp.identity @t1)) % 0.38/0.56 (define @t6 () (tptp.divide @t3 (tptp.divide (tptp.divide @t5 @t2) (tptp.divide (tptp.divide @t4 @t3) @t2)))) % 0.38/0.56 (define @t7 () (forall (@list @t3 @t1 @t2) (= @t6 @t1))) % 0.38/0.56 (define @t8 () (@list @t3)) % 0.38/0.56 (define @t9 () (tptp.multiply tptp.identity tptp.a2)) % 0.38/0.56 (define @t10 () (tptp.divide tptp.identity tptp.a2)) % 0.38/0.56 (define @t11 () (tptp.divide tptp.identity tptp.identity)) % 0.38/0.56 (define @t12 () (tptp.divide @t11 tptp.identity)) % 0.38/0.56 (define @t13 () (tptp.divide (tptp.divide @t10 tptp.a2) (tptp.divide @t12 tptp.a2))) % 0.38/0.56 (define @t14 () (tptp.divide @t12 @t13)) % 0.38/0.56 (define @t15 () (tptp.divide @t11 @t13)) % 0.38/0.56 (define @t16 () (tptp.divide @t15 @t14)) % 0.38/0.56 (define @t17 () (tptp.divide @t12 tptp.identity)) % 0.38/0.56 (define @t18 () (tptp.divide tptp.identity @t13)) % 0.38/0.56 (define @t19 () (tptp.divide @t18 tptp.identity)) % 0.38/0.56 (define @t20 () (tptp.divide @t19 @t17)) % 0.38/0.56 (define @t21 () (= tptp.identity @t11)) % 0.38/0.56 (define @t22 () (= tptp.a2 @t18)) % 0.38/0.56 (define @t23 () (tptp.divide @t10 @t10)) % 0.38/0.56 (define @t24 () (tptp.divide tptp.identity (tptp.divide @t23 (tptp.divide @t12 @t10)))) % 0.38/0.56 (define @t25 () (= tptp.a2 @t24)) % 0.38/0.56 (define @t26 () (tptp.divide tptp.identity @t20)) % 0.38/0.56 (define @t27 () (= @t13 @t26)) % 0.38/0.56 (define @t28 () (tptp.divide tptp.identity @t16)) % 0.38/0.56 (define @t29 () (= tptp.identity @t28)) % 0.38/0.56 (define @t30 () (= @t16 (tptp.divide tptp.identity (tptp.divide (tptp.divide @t28 @t16) (tptp.divide @t12 @t16))))) % 0.38/0.56 (define @t31 () (tptp.multiply tptp.identity @t20)) % 0.38/0.56 (define @t32 () (= @t31 (tptp.divide tptp.identity @t26))) % 0.38/0.56 (define @t33 () (= tptp.identity @t23)) % 0.38/0.56 (define @t34 () (= tptp.a2 (tptp.divide tptp.a2 (tptp.divide @t23 (tptp.divide (tptp.divide (tptp.divide tptp.a2 tptp.a2) tptp.a2) @t10))))) % 0.38/0.56 (define @t35 () (tptp.divide @t24 tptp.identity)) % 0.38/0.56 (define @t36 () (= tptp.a2 @t9)) % 0.38/0.56 (define @t37 () (and @t21 @t22 @t25 @t27 @t29 @t30 @t32 @t33 @t34)) % 0.38/0.56 (assume @p1 @t7) % 0.38/0.56 (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 @t5)))) % 0.38/0.56 (assume @p3 (forall @t8 (= (tptp.inverse @t3) (tptp.divide tptp.identity @t3)))) % 0.38/0.56 (assume @p4 (forall @t8 (= tptp.identity @t4))) % 0.38/0.56 (assume @p5 (not (= @t9 tptp.a2))) % 0.38/0.56 (step @p6 :rule symm :premises (@p5)) % 0.38/0.56 (step @p7 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 0.38/0.56 (step @p8 :rule eq-symm :args (@t6 @t1)) % 0.38/0.56 (step @p9 :rule cong :premises (@p8) :args (@t7)) % 0.38/0.56 (step @p10 :rule eq_resolve :premises (@p1 @p9)) % 0.38/0.56 (step @p11 :rule instantiate :premises (@p10) :args ((@list tptp.identity tptp.a2 tptp.a2))) % 0.38/0.56 (step @p12 :rule instantiate :premises (@p10) :args ((@list tptp.identity tptp.a2 @t10))) % 0.38/0.56 (step @p13 :rule instantiate :premises (@p10) :args ((@list tptp.identity @t13 tptp.identity))) % 0.38/0.56 (step @p14 :rule instantiate :premises (@p10) :args ((@list tptp.identity tptp.identity @t13))) % 0.38/0.56 (step @p15 :rule instantiate :premises (@p10) :args ((@list tptp.identity @t16 @t16))) % 0.38/0.56 (step @p16 :rule instantiate :premises (@p2) :args ((@list tptp.identity @t20))) % 0.38/0.56 (step @p17 :rule instantiate :premises (@p4) :args ((@list @t10))) % 0.38/0.56 (step @p18 :rule instantiate :premises (@p10) :args ((@list tptp.a2 tptp.a2 @t10))) % 0.38/0.56 (assume-push @p89 @t21) % 0.38/0.56 (assume-push @p90 @t22) % 0.38/0.56 (assume-push @p91 @t25) % 0.38/0.56 (assume-push @p92 @t27) % 0.38/0.56 (assume-push @p93 @t29) % 0.38/0.56 (assume-push @p94 @t30) % 0.38/0.56 (assume-push @p95 @t32) % 0.38/0.56 (assume-push @p96 @t33) % 0.38/0.56 (assume-push @p97 @t34) % 0.38/0.56 (step @p28 :rule symm :premises (@p18)) % 0.38/0.56 (step @p29 :rule refl :args (@t10)) % 0.38/0.56 (step @p30 :rule refl :args (tptp.a2)) % 0.38/0.56 (step @p31 :rule symm :premises (@p11)) % 0.38/0.56 (step @p32 :rule refl :args (@t13)) % 0.38/0.56 (step @p33 :rule symm :premises (@p7)) % 0.38/0.56 (step @p34 :rule refl :args (tptp.identity)) % 0.38/0.56 (step @p35 :rule cong :premises (@p33 @p34) :args (@t12)) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p33)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36 @p32) :args (@t14)) % 0.38/0.56 (step @p38 :rule trans :premises (@p37 @p31)) % 0.38/0.56 (step @p39 :rule cong :premises (@p33 @p32) :args (@t15)) % 0.38/0.56 (step @p40 :rule trans :premises (@p39 @p31)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40 @p38) :args (@t16)) % 0.38/0.56 (step @p42 :rule symm :premises (@p15)) % 0.38/0.56 (step @p43 :rule refl :args (@t16)) % 0.38/0.56 (step @p44 :rule symm :premises (@p36)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t28)) % 0.38/0.56 (step @p46 :rule trans :premises (@p14 @p45)) % 0.38/0.56 (step @p47 :rule cong :premises (@p14 @p43) :args (@t28)) % 0.38/0.56 (step @p48 :rule trans :premises (@p14 @p47)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48 @p46) :args (@t11)) % 0.38/0.56 (step @p50 :rule trans :premises (@p7 @p49)) % 0.38/0.56 (step @p51 :rule cong :premises (@p34 @p50) :args (@t11)) % 0.38/0.56 (step @p52 :rule trans :premises (@p7 @p51 @p42 @p41)) % 0.38/0.56 (step @p53 :rule cong :premises (@p52 @p30) :args (@t10)) % 0.38/0.56 (step @p54 :rule cong :premises (@p53 @p29) :args (@t23)) % 0.38/0.56 (step @p55 :rule trans :premises (@p17 @p54)) % 0.38/0.56 (step @p56 :rule cong :premises (@p17 @p55) :args (@t11)) % 0.38/0.56 (step @p57 :rule trans :premises (@p7 @p56)) % 0.38/0.56 (step @p58 :rule cong :premises (@p31 @p57) :args (@t19)) % 0.38/0.56 (step @p59 :rule cong :premises (@p36 @p34) :args (@t17)) % 0.38/0.56 (step @p60 :rule trans :premises (@p59 @p33)) % 0.38/0.56 (step @p61 :rule symm :premises (@p12)) % 0.38/0.56 (step @p62 :rule trans :premises (@p61 @p11)) % 0.38/0.56 (step @p63 :rule cong :premises (@p62 @p34) :args (@t35)) % 0.38/0.56 (step @p64 :rule trans :premises (@p63 @p58 @p28 @p11)) % 0.38/0.56 (step @p65 :rule cong :premises (@p64 @p60) :args ((tptp.divide @t35 @t17))) % 0.38/0.56 (step @p66 :rule refl :args (@t17)) % 0.38/0.56 (step @p67 :rule symm :premises (@p63)) % 0.38/0.56 (step @p68 :rule cong :premises (@p67 @p66) :args (@t20)) % 0.38/0.56 (step @p69 :rule trans :premises (@p68 @p65 @p58 @p28)) % 0.38/0.56 (step @p70 :rule cong :premises (@p34 @p69) :args (@t31)) % 0.38/0.56 (step @p71 :rule symm :premises (@p16)) % 0.38/0.56 (step @p72 :rule cong :premises (@p34 @p13) :args (@t18)) % 0.38/0.56 (step @p73 :rule trans :premises (@p11 @p72 @p71 @p70)) % 0.38/0.56 (step-pop @p98 :rule scope :premises (@p73)) % 0.38/0.56 (step-pop @p99 :rule scope :premises (@p98)) % 0.38/0.56 (step-pop @p100 :rule scope :premises (@p99)) % 0.38/0.56 (step-pop @p101 :rule scope :premises (@p100)) % 0.38/0.56 (step-pop @p102 :rule scope :premises (@p101)) % 0.38/0.56 (step-pop @p103 :rule scope :premises (@p102)) % 0.38/0.56 (step-pop @p104 :rule scope :premises (@p103)) % 0.38/0.56 (step-pop @p105 :rule scope :premises (@p104)) % 0.38/0.56 (step-pop @p106 :rule scope :premises (@p105)) % 0.38/0.56 (step @p74 :rule process_scope :premises (@p106) :args (@t36)) % 0.38/0.56 (step @p84 :rule implies_elim :premises (@p74)) % 0.38/0.56 (step @p85 :rule cnf_and_neg :args (@t37)) % 0.38/0.56 (step @p86 :rule resolution :premises (@p85 @p84) :args (true @t37)) % 0.38/0.56 (step @p87 :rule reordering :premises (@p86) :args ((or @t36 (not @t21) (not @t22) (not @t25) (not @t27) (not @t29) (not @t30) (not @t32) (not @t33) (not @t34)))) % 0.38/0.56 (step @p88 false :rule chain_m_resolution :premises (@p87 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p7 @p6) :args (false (@list false false false false false false false false false true) (@list @t34 @t33 @t32 @t30 @t29 @t27 @t25 @t22 @t21 @t36))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------