%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP545-1 : 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 : n029.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 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : GRP545-1 : TPTP v9.2.1. Released v2.6.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.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 01:16:17 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.56 % SZS status Unsatisfiable % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort $$unsorted 0) % 0.33/0.56 (declare-const tptp.b1 $$unsorted) % 0.33/0.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.33/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.56 (declare-const tptp.a1 $$unsorted) % 0.33/0.56 (declare-const tptp.identity $$unsorted) % 0.33/0.56 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.33/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.33/0.56 (define @t3 () (@var "B" $$unsorted)) % 0.33/0.56 (define @t4 () (@list @t2)) % 0.33/0.56 (define @t5 () (tptp.inverse tptp.b1)) % 0.33/0.56 (define @t6 () (tptp.multiply @t5 tptp.b1)) % 0.33/0.56 (define @t7 () (tptp.inverse tptp.a1)) % 0.33/0.56 (define @t8 () (tptp.multiply @t7 tptp.a1)) % 0.33/0.56 (define @t9 () (= @t8 @t6)) % 0.33/0.56 (define @t10 () (not @t9)) % 0.33/0.56 (define @t11 () (tptp.divide tptp.identity tptp.a1)) % 0.33/0.56 (define @t12 () (tptp.divide tptp.identity tptp.b1)) % 0.33/0.56 (define @t13 () (tptp.divide @t12 @t12)) % 0.33/0.56 (define @t14 () (= tptp.identity @t13)) % 0.33/0.56 (define @t15 () (not @t14)) % 0.33/0.56 (define @t16 () (tptp.divide @t11 @t11)) % 0.33/0.56 (define @t17 () (= tptp.identity @t16)) % 0.33/0.56 (define @t18 () (not @t17)) % 0.33/0.56 (define @t19 () (= @t5 @t12)) % 0.33/0.56 (define @t20 () (not @t19)) % 0.33/0.56 (define @t21 () (= @t7 @t11)) % 0.33/0.56 (define @t22 () (not @t21)) % 0.33/0.56 (define @t23 () (= @t6 (tptp.divide @t5 @t12))) % 0.33/0.56 (define @t24 () (not @t23)) % 0.33/0.56 (define @t25 () (= @t8 (tptp.divide @t7 @t11))) % 0.33/0.56 (define @t26 () (not @t25)) % 0.33/0.56 (define @t27 () (and @t10 @t25 @t23 @t21 @t19 @t17)) % 0.33/0.56 (assume @p1 (forall (@list @t2 @t3 @t1) (= (tptp.divide (tptp.divide tptp.identity (tptp.divide @t2 @t3)) (tptp.divide (tptp.divide @t3 @t1) @t2)) @t1))) % 0.33/0.56 (assume @p2 (forall (@list @t2 @t3) (= (tptp.multiply @t2 @t3) (tptp.divide @t2 (tptp.divide tptp.identity @t3))))) % 0.33/0.56 (assume @p3 (forall @t4 (= (tptp.inverse @t2) (tptp.divide tptp.identity @t2)))) % 0.33/0.56 (assume @p4 (forall @t4 (= tptp.identity (tptp.divide @t2 @t2)))) % 0.33/0.56 (assume @p5 @t10) % 0.33/0.56 (step @p6 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.a1))) % 0.33/0.56 (step @p7 :rule instantiate :premises (@p2) :args ((@list @t5 tptp.b1))) % 0.33/0.56 (step @p8 :rule instantiate :premises (@p3) :args ((@list tptp.a1))) % 0.33/0.56 (step @p9 :rule instantiate :premises (@p3) :args ((@list tptp.b1))) % 0.33/0.56 (step @p10 :rule instantiate :premises (@p4) :args ((@list @t11))) % 0.33/0.56 (step @p11 :rule instantiate :premises (@p4) :args ((@list @t12))) % 0.33/0.56 (step @p12 :rule refl :args (@t15)) % 0.33/0.56 (step @p13 :rule refl :args (@t18)) % 0.33/0.56 (step @p14 :rule refl :args (@t20)) % 0.33/0.56 (step @p15 :rule refl :args (@t22)) % 0.33/0.56 (step @p16 :rule refl :args (@t24)) % 0.33/0.56 (step @p17 :rule refl :args (@t26)) % 0.33/0.56 (step @p18 :rule bool-double-not-elim :args (@t9)) % 0.33/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16 @p15 @p14 @p13 @p12) :args ((or (not @t10) @t26 @t24 @t22 @t20 @t18 @t15))) % 0.33/0.56 (assume-push @p52 @t10) % 0.33/0.56 (assume-push @p53 @t25) % 0.33/0.56 (assume-push @p54 @t23) % 0.33/0.56 (assume-push @p55 @t21) % 0.33/0.56 (assume-push @p56 @t19) % 0.33/0.56 (assume-push @p57 @t17) % 0.33/0.56 (step @p26 :rule false_intro :premises (@p5)) % 0.33/0.56 (step @p27 :rule symm :premises (@p7)) % 0.33/0.56 (step @p28 :rule refl :args (@t12)) % 0.33/0.56 (step @p29 :rule symm :premises (@p9)) % 0.33/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args (@t13)) % 0.33/0.56 (step @p31 :rule trans :premises (@p30 @p27)) % 0.33/0.56 (step @p32 :rule symm :premises (@p6)) % 0.33/0.56 (step @p33 :rule refl :args (@t11)) % 0.33/0.56 (step @p34 :rule symm :premises (@p8)) % 0.33/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args (@t16)) % 0.33/0.56 (step @p36 :rule trans :premises (@p10 @p35 @p32)) % 0.33/0.56 (step @p37 :rule cong :premises (@p36 @p31) :args (@t14)) % 0.33/0.56 (step @p38 :rule trans :premises (@p37 @p26)) % 0.33/0.56 (step @p39 :rule false_elim :premises (@p38)) % 0.33/0.56 (step-pop @p58 :rule scope :premises (@p39)) % 0.33/0.56 (step-pop @p59 :rule scope :premises (@p58)) % 0.33/0.56 (step-pop @p60 :rule scope :premises (@p59)) % 0.33/0.56 (step-pop @p61 :rule scope :premises (@p60)) % 0.33/0.56 (step-pop @p62 :rule scope :premises (@p61)) % 0.33/0.56 (step-pop @p63 :rule scope :premises (@p62)) % 0.33/0.56 (step @p40 :rule process_scope :premises (@p63) :args (@t15)) % 0.33/0.56 (step @p47 :rule implies_elim :premises (@p40)) % 0.33/0.56 (step @p48 :rule cnf_and_neg :args (@t27)) % 0.33/0.56 (step @p49 :rule resolution :premises (@p48 @p47) :args (true @t27)) % 0.33/0.56 (step @p50 :rule eq_resolve :premises (@p49 @p19)) % 0.33/0.56 (step @p51 false :rule chain_m_resolution :premises (@p50 @p11 @p10 @p9 @p8 @p7 @p6 @p5) :args (false (@list false false false false false false true) (@list @t14 @t17 @t19 @t21 @t23 @t25 @t9))) % 0.33/0.56 ) % 0.33/0.56 % SZS output end Proof % 0.33/0.56 % cvc5 exiting 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