%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP549-1 : 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 : n022.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 08:20:54 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.54s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP549-1 : TPTP v9.2.1. Released v2.6.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.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 01:16:08 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.54 % SZS status Unsatisfiable % 0.31/0.54 % SZS output start Proof % 0.31/0.54 ( % 0.31/0.54 (declare-sort $$unsorted 0) % 0.31/0.54 (declare-const tptp.a1 $$unsorted) % 0.31/0.54 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.31/0.54 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.54 (declare-const tptp.b1 $$unsorted) % 0.31/0.54 (declare-const tptp.identity $$unsorted) % 0.31/0.54 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.54 (define @t1 () (@var "C" $$unsorted)) % 0.31/0.54 (define @t2 () (@var "B" $$unsorted)) % 0.31/0.54 (define @t3 () (@var "A" $$unsorted)) % 0.31/0.54 (define @t4 () (tptp.divide tptp.identity @t3)) % 0.31/0.54 (define @t5 () (tptp.inverse @t3)) % 0.31/0.54 (define @t6 () (@list @t3)) % 0.31/0.54 (define @t7 () (forall @t6 (= @t5 @t4))) % 0.31/0.54 (define @t8 () (tptp.inverse tptp.b1)) % 0.31/0.54 (define @t9 () (tptp.multiply @t8 tptp.b1)) % 0.31/0.54 (define @t10 () (tptp.inverse tptp.a1)) % 0.31/0.54 (define @t11 () (tptp.multiply @t10 tptp.a1)) % 0.31/0.54 (define @t12 () (= @t11 @t9)) % 0.31/0.54 (define @t13 () (not @t12)) % 0.31/0.54 (define @t14 () (tptp.divide tptp.identity tptp.a1)) % 0.31/0.54 (define @t15 () (forall @t6 (= @t4 @t5))) % 0.31/0.54 (define @t16 () (= @t14 @t10)) % 0.31/0.54 (define @t17 () (@list tptp.a1)) % 0.31/0.54 (define @t18 () (= @t10 @t14)) % 0.31/0.54 (define @t19 () (@list false)) % 0.31/0.54 (define @t20 () (@list @t15)) % 0.31/0.54 (define @t21 () (tptp.divide tptp.identity tptp.b1)) % 0.31/0.54 (define @t22 () (= @t21 @t8)) % 0.31/0.54 (define @t23 () (@list tptp.b1)) % 0.31/0.54 (define @t24 () (= @t8 @t21)) % 0.31/0.54 (define @t25 () (tptp.divide @t21 @t21)) % 0.31/0.54 (define @t26 () (= tptp.identity @t25)) % 0.31/0.54 (define @t27 () (not @t26)) % 0.31/0.54 (define @t28 () (tptp.divide @t14 @t14)) % 0.31/0.54 (define @t29 () (= tptp.identity @t28)) % 0.31/0.54 (define @t30 () (not @t29)) % 0.31/0.54 (define @t31 () (not @t24)) % 0.31/0.54 (define @t32 () (not @t18)) % 0.31/0.54 (define @t33 () (= @t9 (tptp.divide @t8 @t21))) % 0.31/0.54 (define @t34 () (not @t33)) % 0.31/0.54 (define @t35 () (= @t11 (tptp.divide @t10 @t14))) % 0.31/0.54 (define @t36 () (not @t35)) % 0.31/0.54 (define @t37 () (and @t13 @t35 @t33 @t18 @t24 @t29)) % 0.31/0.54 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.divide @t4 (tptp.divide (tptp.divide (tptp.divide @t2 @t3) @t1) @t2)) @t1))) % 0.31/0.54 (assume @p2 (forall (@list @t3 @t2) (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide tptp.identity @t2))))) % 0.31/0.54 (assume @p3 @t7) % 0.31/0.54 (assume @p4 (forall @t6 (= tptp.identity (tptp.divide @t3 @t3)))) % 0.31/0.54 (assume @p5 @t13) % 0.31/0.54 (step @p6 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.a1))) % 0.31/0.54 (step @p7 :rule instantiate :premises (@p2) :args ((@list @t8 tptp.b1))) % 0.31/0.54 (step @p8 :rule eq-symm :args (@t5 @t4)) % 0.31/0.54 (step @p9 :rule cong :premises (@p8) :args (@t7)) % 0.31/0.54 (step @p10 :rule eq_resolve :premises (@p3 @p9)) % 0.31/0.54 (step @p11 :rule eq-symm :args (@t14 @t10)) % 0.31/0.54 (step @p12 :rule refl :args (@t15)) % 0.31/0.54 (step @p13 :rule cong :premises (@p12 @p11) :args ((=> @t15 @t16))) % 0.31/0.54 (assume-push @p70 @t15) % 0.31/0.54 (step @p15 :rule instantiate :premises (@p10) :args (@t17)) % 0.31/0.54 (step-pop @p71 :rule scope :premises (@p15)) % 0.31/0.54 (step @p16 :rule process_scope :premises (@p71) :args (@t16)) % 0.31/0.54 (step @p18 :rule eq_resolve :premises (@p16 @p13)) % 0.31/0.54 (step @p19 :rule implies_elim :premises (@p18)) % 0.31/0.54 (step @p20 :rule chain_m_resolution :premises (@p19 @p10) :args (@t18 @t19 @t20)) % 0.31/0.54 (step @p21 :rule eq-symm :args (@t21 @t8)) % 0.31/0.54 (step @p22 :rule cong :premises (@p12 @p21) :args ((=> @t15 @t22))) % 0.31/0.54 (assume-push @p72 @t15) % 0.31/0.54 (step @p24 :rule instantiate :premises (@p10) :args (@t23)) % 0.31/0.54 (step-pop @p73 :rule scope :premises (@p24)) % 0.31/0.54 (step @p25 :rule process_scope :premises (@p73) :args (@t22)) % 0.31/0.54 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.31/0.54 (step @p28 :rule implies_elim :premises (@p27)) % 0.31/0.54 (step @p29 :rule chain_m_resolution :premises (@p28 @p10) :args (@t24 @t19 @t20)) % 0.31/0.54 (step @p30 :rule instantiate :premises (@p4) :args ((@list @t14))) % 0.31/0.54 (step @p31 :rule instantiate :premises (@p4) :args ((@list @t21))) % 0.31/0.54 (step @p32 :rule refl :args (@t27)) % 0.31/0.54 (step @p33 :rule refl :args (@t30)) % 0.31/0.54 (step @p34 :rule refl :args (@t31)) % 0.31/0.54 (step @p35 :rule refl :args (@t32)) % 0.31/0.54 (step @p36 :rule refl :args (@t34)) % 0.31/0.54 (step @p37 :rule refl :args (@t36)) % 0.31/0.54 (step @p38 :rule bool-double-not-elim :args (@t12)) % 0.31/0.54 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36 @p35 @p34 @p33 @p32) :args ((or (not @t13) @t36 @t34 @t32 @t31 @t30 @t27))) % 0.31/0.54 (assume-push @p74 @t13) % 0.31/0.54 (assume-push @p75 @t35) % 0.31/0.54 (assume-push @p76 @t33) % 0.31/0.54 (assume-push @p77 @t18) % 0.31/0.54 (assume-push @p78 @t24) % 0.31/0.54 (assume-push @p79 @t29) % 0.31/0.54 (step @p46 :rule false_intro :premises (@p5)) % 0.31/0.54 (step @p47 :rule symm :premises (@p7)) % 0.31/0.54 (step @p48 :rule refl :args (@t21)) % 0.31/0.54 (step @p24 :rule instantiate :premises (@p10) :args (@t23)) % 0.31/0.54 (step @p49 :rule cong :premises (@p24 @p48) :args (@t25)) % 0.31/0.54 (step @p50 :rule trans :premises (@p49 @p47)) % 0.31/0.54 (step @p51 :rule symm :premises (@p6)) % 0.31/0.54 (step @p52 :rule refl :args (@t14)) % 0.31/0.54 (step @p15 :rule instantiate :premises (@p10) :args (@t17)) % 0.31/0.54 (step @p53 :rule cong :premises (@p15 @p52) :args (@t28)) % 0.31/0.54 (step @p54 :rule trans :premises (@p30 @p53 @p51)) % 0.31/0.54 (step @p55 :rule cong :premises (@p54 @p50) :args (@t26)) % 0.31/0.54 (step @p56 :rule trans :premises (@p55 @p46)) % 0.31/0.54 (step @p57 :rule false_elim :premises (@p56)) % 0.31/0.54 (step-pop @p80 :rule scope :premises (@p57)) % 0.31/0.54 (step-pop @p81 :rule scope :premises (@p80)) % 0.31/0.54 (step-pop @p82 :rule scope :premises (@p81)) % 0.31/0.54 (step-pop @p83 :rule scope :premises (@p82)) % 0.31/0.54 (step-pop @p84 :rule scope :premises (@p83)) % 0.31/0.54 (step-pop @p85 :rule scope :premises (@p84)) % 0.31/0.54 (step @p58 :rule process_scope :premises (@p85) :args (@t27)) % 0.31/0.54 (step @p65 :rule implies_elim :premises (@p58)) % 0.31/0.54 (step @p66 :rule cnf_and_neg :args (@t37)) % 0.31/0.54 (step @p67 :rule resolution :premises (@p66 @p65) :args (true @t37)) % 0.31/0.54 (step @p68 :rule eq_resolve :premises (@p67 @p39)) % 0.31/0.54 (step @p69 false :rule chain_m_resolution :premises (@p68 @p31 @p30 @p29 @p20 @p7 @p6 @p5) :args (false (@list false false false false false false true) (@list @t26 @t29 @t24 @t18 @t33 @t35 @t12))) % 0.31/0.54 ) % 0.31/0.54 % SZS output end Proof % 0.31/0.54 % cvc5 exiting %------------------------------------------------------------------------------