%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP522-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:20:51 AM UTC 2026 % Result : Unsatisfiable 15.41s 15.75s % Output : Proof 15.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP522-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n005.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 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:14:48 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.57 --- Run --no-e-matching --full-saturate-quant at 6... % 15.41/15.75 % SZS status Unsatisfiable % 15.41/15.75 % SZS output start Proof % 15.41/15.75 ( % 15.41/15.75 (declare-sort $$unsorted 0) % 15.41/15.75 (declare-const tptp.b2 $$unsorted) % 15.41/15.75 (declare-const tptp.a2 $$unsorted) % 15.41/15.75 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.41/15.75 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.75 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.75 (define @t1 () (@var "C" $$unsorted)) % 15.41/15.75 (define @t2 () (@var "B" $$unsorted)) % 15.41/15.75 (define @t3 () (@var "A" $$unsorted)) % 15.41/15.75 (define @t4 () (tptp.divide @t3 (tptp.divide @t2 (tptp.divide @t1 (tptp.divide @t3 @t2))))) % 15.41/15.75 (define @t5 () (@list @t3 @t2 @t1)) % 15.41/15.75 (define @t6 () (forall @t5 (= @t4 @t1))) % 15.41/15.75 (define @t7 () (tptp.inverse tptp.b2)) % 15.41/15.75 (define @t8 () (tptp.divide @t7 @t7)) % 15.41/15.75 (define @t9 () (tptp.divide tptp.b2 tptp.b2)) % 15.41/15.75 (define @t10 () (tptp.divide @t9 @t9)) % 15.41/15.75 (define @t11 () (tptp.divide tptp.b2 @t10)) % 15.41/15.75 (define @t12 () (tptp.divide tptp.b2 @t11)) % 15.41/15.75 (define @t13 () (tptp.divide tptp.a2 tptp.a2)) % 15.41/15.75 (define @t14 () (tptp.divide tptp.b2 @t13)) % 15.41/15.75 (define @t15 () (tptp.divide tptp.a2 @t14)) % 15.41/15.75 (define @t16 () (tptp.divide tptp.a2 @t10)) % 15.41/15.75 (define @t17 () (tptp.divide @t9 @t16)) % 15.41/15.75 (define @t18 () (tptp.divide @t9 @t17)) % 15.41/15.75 (define @t19 () (= tptp.a2 @t18)) % 15.41/15.75 (define @t20 () (forall @t5 (= @t1 @t4))) % 15.41/15.75 (assume @p1 @t6) % 15.41/15.75 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 15.41/15.75 (assume @p3 (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 15.41/15.75 (assume @p4 (not (= (tptp.multiply (tptp.multiply @t7 tptp.b2) tptp.a2) tptp.a2))) % 15.41/15.75 (step @p5 :rule eq-symm :args (@t4 @t1)) % 15.41/15.75 (step @p6 :rule cong :premises (@p5) :args (@t6)) % 15.41/15.75 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 15.41/15.75 (step @p8 :rule symm :premises (@p4)) % 15.41/15.75 (step @p9 :rule false_intro :premises (@p8)) % 15.41/15.75 (step @p10 :rule refl :args (tptp.a2)) % 15.41/15.75 (step @p11 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.b2 tptp.b2))) % 15.41/15.75 (step @p12 :rule symm :premises (@p11)) % 15.41/15.75 (step @p13 :rule instantiate :premises (@p3) :args ((@list tptp.b2 tptp.b2))) % 15.41/15.75 (step @p14 :rule refl :args (@t7)) % 15.41/15.75 (step @p15 :rule cong :premises (@p14 @p13) :args (@t8)) % 15.41/15.75 (step @p16 :rule instantiate :premises (@p7) :args ((@list tptp.b2 tptp.b2 @t8))) % 15.41/15.75 (step @p17 :rule symm :premises (@p16)) % 15.41/15.75 (step @p18 :rule instantiate :premises (@p2) :args ((@list tptp.b2 @t9 @t7))) % 15.41/15.75 (step @p19 :rule instantiate :premises (@p2) :args ((@list tptp.b2 @t9 tptp.b2))) % 15.41/15.75 (step @p20 :rule symm :premises (@p19)) % 15.41/15.75 (step @p21 :rule trans :premises (@p20 @p18)) % 15.41/15.75 (step @p22 :rule refl :args (tptp.b2)) % 15.41/15.75 (step @p23 :rule cong :premises (@p22 @p21) :args (@t12)) % 15.41/15.75 (step @p24 :rule instantiate :premises (@p7) :args ((@list tptp.b2 tptp.b2 @t9))) % 15.41/15.75 (step @p25 :rule trans :premises (@p24 @p23 @p17 @p15 @p12)) % 15.41/15.75 (step @p26 :rule cong :premises (@p25 @p10) :args ((tptp.multiply @t9 tptp.a2))) % 15.41/15.75 (step @p27 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.a2 tptp.b2))) % 15.41/15.75 (step @p28 :rule symm :premises (@p27)) % 15.41/15.75 (step @p29 :rule instantiate :premises (@p7) :args ((@list tptp.a2 tptp.b2 tptp.a2))) % 15.41/15.75 (step @p30 :rule symm :premises (@p29)) % 15.41/15.75 (step @p31 :rule instantiate :premises (@p7) :args ((@list tptp.b2 tptp.b2 tptp.b2))) % 15.41/15.75 (step @p32 :rule symm :premises (@p31)) % 15.41/15.75 (step @p33 :rule symm :premises (@p24)) % 15.41/15.75 (step @p34 :rule instantiate :premises (@p2) :args ((@list tptp.b2 @t9 @t9))) % 15.41/15.75 (step @p35 :rule symm :premises (@p34)) % 15.41/15.75 (step @p36 :rule trans :premises (@p35 @p19)) % 15.41/15.75 (step @p37 :rule cong :premises (@p22 @p36) :args ((tptp.divide tptp.b2 (tptp.divide tptp.b2 (tptp.divide @t10 @t9))))) % 15.41/15.75 (step @p38 :rule instantiate :premises (@p7) :args ((@list tptp.b2 tptp.b2 @t10))) % 15.41/15.75 (step @p39 :rule trans :premises (@p38 @p37 @p33)) % 15.41/15.75 (step @p40 :rule cong :premises (@p22 @p39) :args (@t11)) % 15.41/15.75 (step @p41 :rule cong :premises (@p22 @p40) :args (@t12)) % 15.41/15.75 (step @p42 :rule trans :premises (@p24 @p41)) % 15.41/15.75 (step @p43 :rule cong :premises (@p22 @p42) :args ((tptp.divide tptp.b2 @t9))) % 15.41/15.75 (step @p44 :rule instantiate :premises (@p2) :args ((@list tptp.b2 @t9 tptp.a2))) % 15.41/15.75 (step @p45 :rule symm :premises (@p44)) % 15.41/15.75 (step @p46 :rule trans :premises (@p45 @p19)) % 15.41/15.75 (step @p47 :rule cong :premises (@p22 @p46) :args ((tptp.divide tptp.b2 (tptp.divide tptp.b2 (tptp.divide @t13 @t9))))) % 15.41/15.75 (step @p48 :rule instantiate :premises (@p7) :args ((@list tptp.b2 tptp.b2 @t13))) % 15.41/15.75 (step @p49 :rule trans :premises (@p48 @p47 @p33)) % 15.41/15.75 (step @p50 :rule cong :premises (@p22 @p49) :args (@t14)) % 15.41/15.75 (step @p51 :rule trans :premises (@p50 @p43 @p32)) % 15.41/15.75 (step @p52 :rule cong :premises (@p10 @p51) :args (@t15)) % 15.41/15.75 (step @p53 :rule cong :premises (@p10 @p52) :args ((tptp.divide tptp.a2 @t15))) % 15.41/15.75 (step @p54 :rule instantiate :premises (@p7) :args ((@list tptp.a2 tptp.a2 tptp.b2))) % 15.41/15.75 (step @p55 :rule trans :premises (@p54 @p53)) % 15.41/15.75 (step @p56 :rule cong :premises (@p22 @p55) :args (@t9)) % 15.41/15.75 (step @p57 :rule cong :premises (@p10 @p56) :args ((tptp.divide tptp.a2 @t9))) % 15.41/15.75 (step @p58 :rule cong :premises (@p10 @p39) :args (@t16)) % 15.41/15.75 (step @p59 :rule trans :premises (@p58 @p57 @p30)) % 15.41/15.75 (step @p60 :rule refl :args (@t9)) % 15.41/15.75 (step @p61 :rule cong :premises (@p60 @p59) :args (@t17)) % 15.41/15.75 (step @p62 :rule cong :premises (@p60 @p61) :args (@t18)) % 15.41/15.75 (step @p63 :rule trans :premises (@p62 @p28 @p26)) % 15.41/15.75 (step @p64 :rule cong :premises (@p10 @p63) :args (@t19)) % 15.41/15.75 (step @p65 :rule trans :premises (@p64 @p9)) % 15.41/15.75 (step @p66 :rule false_elim :premises (@p65)) % 15.41/15.75 (assume-push @p73 @t20) % 15.41/15.75 (step @p68 :rule instantiate :premises (@p7) :args ((@list @t9 @t9 tptp.a2))) % 15.41/15.75 (step-pop @p74 :rule scope :premises (@p68)) % 15.41/15.75 (step @p69 :rule process_scope :premises (@p74) :args (@t19)) % 15.41/15.75 (step @p71 :rule implies_elim :premises (@p69)) % 15.41/15.75 (step @p72 false :rule chain_m_resolution :premises (@p71 @p66 @p7) :args (false (@list true false) (@list @t19 @t20))) % 15.41/15.75 ) % 15.41/15.75 % SZS output end Proof % 15.41/15.75 % cvc5 exiting %------------------------------------------------------------------------------