%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP525-1 : 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 : n011.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 08:20:52 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP525-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 01:14:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.57 % SZS status Unsatisfiable % 0.28/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.a1 $$unsorted) % 0.39/0.57 (declare-const tptp.b1 $$unsorted) % 0.39/0.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.39/0.57 (define @t4 () (tptp.divide @t3 (tptp.divide (tptp.divide @t3 @t2) (tptp.divide @t1 @t2)))) % 0.39/0.57 (define @t5 () (@list @t3 @t2 @t1)) % 0.39/0.57 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.39/0.57 (define @t7 () (tptp.inverse tptp.b1)) % 0.39/0.57 (define @t8 () (tptp.inverse tptp.a1)) % 0.39/0.57 (define @t9 () (tptp.divide @t7 @t7)) % 0.39/0.57 (define @t10 () (tptp.divide tptp.a1 tptp.a1)) % 0.39/0.57 (define @t11 () (tptp.divide @t10 (tptp.divide @t9 tptp.a1))) % 0.39/0.57 (define @t12 () (tptp.divide tptp.a1 @t11)) % 0.39/0.57 (define @t13 () (= @t9 @t12)) % 0.39/0.57 (define @t14 () (= @t12 @t9)) % 0.39/0.57 (define @t15 () (tptp.divide @t10 @t10)) % 0.39/0.57 (define @t16 () (tptp.divide @t15 tptp.b1)) % 0.39/0.57 (define @t17 () (tptp.divide @t15 tptp.a1)) % 0.39/0.57 (define @t18 () (tptp.divide @t8 @t8)) % 0.39/0.57 (define @t19 () (tptp.divide tptp.a1 @t10)) % 0.39/0.57 (define @t20 () (tptp.divide @t15 @t19)) % 0.39/0.57 (define @t21 () (forall @t5 (= @t1 @t4))) % 0.39/0.57 (assume @p1 @t6) % 0.39/0.57 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 0.39/0.57 (assume @p3 (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 0.39/0.57 (assume @p4 (not (= (tptp.multiply @t8 tptp.a1) (tptp.multiply @t7 tptp.b1)))) % 0.39/0.57 (step @p5 :rule eq-symm :args (@t4 @t1)) % 0.39/0.57 (step @p6 :rule cong :premises (@p5) :args (@t6)) % 0.39/0.57 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 0.39/0.57 (step @p8 :rule bool-eq-false :args (@t13)) % 0.39/0.57 (step @p9 :rule symm :premises (@p8)) % 0.39/0.57 (step @p10 :rule eq-symm :args (@t12 @t9)) % 0.39/0.57 (step @p11 :rule cong :premises (@p10) :args ((not @t14))) % 0.39/0.57 (step @p12 :rule bool-eq-false :args (@t14)) % 0.39/0.57 (step @p13 :rule trans :premises (@p12 @p11)) % 0.39/0.57 (step @p14 :rule trans :premises (@p13 @p9)) % 0.39/0.57 (step @p15 :rule false_intro :premises (@p4)) % 0.39/0.57 (step @p16 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.b1 tptp.a1))) % 0.39/0.57 (step @p17 :rule symm :premises (@p16)) % 0.39/0.57 (step @p18 :rule instantiate :premises (@p3) :args ((@list tptp.b1 tptp.a1))) % 0.39/0.57 (step @p19 :rule instantiate :premises (@p3) :args ((@list tptp.b1 @t10))) % 0.39/0.57 (step @p20 :rule symm :premises (@p19)) % 0.39/0.57 (step @p21 :rule trans :premises (@p20 @p18)) % 0.39/0.57 (step @p22 :rule cong :premises (@p20 @p21) :args ((tptp.divide @t16 @t16))) % 0.39/0.57 (step @p23 :rule cong :premises (@p19 @p19) :args (@t9)) % 0.39/0.57 (step @p24 :rule trans :premises (@p23 @p22 @p17)) % 0.39/0.57 (step @p25 :rule instantiate :premises (@p2) :args ((@list @t8 tptp.a1 tptp.a1))) % 0.39/0.57 (step @p26 :rule symm :premises (@p25)) % 0.39/0.57 (step @p27 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.a1))) % 0.39/0.57 (step @p28 :rule instantiate :premises (@p3) :args ((@list tptp.a1 @t10))) % 0.39/0.57 (step @p29 :rule symm :premises (@p28)) % 0.39/0.57 (step @p30 :rule trans :premises (@p29 @p27)) % 0.39/0.57 (step @p31 :rule cong :premises (@p29 @p30) :args ((tptp.divide @t17 @t17))) % 0.39/0.57 (step @p32 :rule cong :premises (@p28 @p28) :args (@t18)) % 0.39/0.57 (step @p33 :rule instantiate :premises (@p7) :args ((@list tptp.a1 tptp.a1 @t18))) % 0.39/0.57 (step @p34 :rule symm :premises (@p33)) % 0.39/0.57 (step @p35 :rule instantiate :premises (@p3) :args ((@list tptp.a1 @t8))) % 0.39/0.57 (step @p36 :rule instantiate :premises (@p7) :args ((@list tptp.a1 @t15 tptp.a1))) % 0.39/0.57 (step @p37 :rule symm :premises (@p36)) % 0.39/0.57 (step @p38 :rule instantiate :premises (@p7) :args ((@list tptp.a1 tptp.a1 tptp.a1))) % 0.39/0.57 (step @p39 :rule cong :premises (@p38 @p38) :args (@t10)) % 0.39/0.57 (step @p40 :rule refl :args (tptp.a1)) % 0.39/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args (@t19)) % 0.39/0.57 (step @p42 :rule trans :premises (@p41 @p37)) % 0.39/0.57 (step @p43 :rule refl :args (@t15)) % 0.39/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args (@t20)) % 0.39/0.57 (step @p45 :rule trans :premises (@p44 @p29 @p35)) % 0.39/0.57 (step @p46 :rule refl :args (@t10)) % 0.39/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args ((tptp.divide @t10 @t20))) % 0.39/0.57 (step @p48 :rule instantiate :premises (@p7) :args ((@list @t10 @t10 tptp.a1))) % 0.39/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.39/0.57 (step @p50 :rule cong :premises (@p40 @p49) :args (@t10)) % 0.39/0.57 (step @p51 :rule symm :premises (@p48)) % 0.39/0.57 (step @p52 :rule symm :premises (@p44)) % 0.39/0.57 (step @p53 :rule instantiate :premises (@p3) :args ((@list tptp.a1 @t7))) % 0.39/0.57 (step @p54 :rule symm :premises (@p53)) % 0.39/0.57 (step @p55 :rule trans :premises (@p54 @p28 @p52)) % 0.39/0.57 (step @p56 :rule cong :premises (@p46 @p55) :args (@t11)) % 0.39/0.57 (step @p57 :rule trans :premises (@p56 @p51)) % 0.39/0.57 (step @p58 :rule cong :premises (@p40 @p57) :args (@t12)) % 0.39/0.57 (step @p59 :rule trans :premises (@p58 @p50 @p34 @p32 @p31 @p26)) % 0.39/0.57 (step @p60 :rule cong :premises (@p59 @p24) :args (@t14)) % 0.39/0.57 (step @p61 :rule trans :premises (@p60 @p15)) % 0.39/0.57 (step @p62 :rule eq_resolve :premises (@p61 @p14)) % 0.39/0.57 (step @p63 :rule false_elim :premises (@p62)) % 0.39/0.57 (assume-push @p70 @t21) % 0.39/0.57 (step @p65 :rule instantiate :premises (@p7) :args ((@list tptp.a1 tptp.a1 @t9))) % 0.39/0.57 (step-pop @p71 :rule scope :premises (@p65)) % 0.39/0.57 (step @p66 :rule process_scope :premises (@p71) :args (@t13)) % 0.39/0.57 (step @p68 :rule implies_elim :premises (@p66)) % 0.39/0.57 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p7) :args (false (@list true false) (@list @t13 @t21))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------