%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP481-1 : 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 : n010.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 08:20:47 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP481-1 : 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 % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:11:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.55 % SZS status Unsatisfiable % 0.38/0.55 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.a1 $$unsorted) % 0.38/0.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.identity $$unsorted) % 0.38/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t4 () (tptp.double_divide @t3 tptp.identity)) % 0.38/0.56 (define @t5 () (@var "D" $$unsorted)) % 0.38/0.56 (define @t6 () (tptp.double_divide (tptp.double_divide (tptp.double_divide @t3 (tptp.double_divide @t2 tptp.identity)) (tptp.double_divide (tptp.double_divide @t1 (tptp.double_divide @t5 (tptp.double_divide @t5 tptp.identity))) @t4)) @t2)) % 0.38/0.56 (define @t7 () (@list @t3 @t2 @t1 @t5)) % 0.38/0.56 (define @t8 () (forall @t7 (= @t6 @t1))) % 0.38/0.56 (define @t9 () (tptp.inverse @t3)) % 0.38/0.56 (define @t10 () (@list @t3)) % 0.38/0.56 (define @t11 () (forall @t10 (= @t9 @t4))) % 0.38/0.56 (define @t12 () (tptp.inverse tptp.a1)) % 0.38/0.56 (define @t13 () (tptp.double_divide (tptp.double_divide tptp.a1 @t12) tptp.identity)) % 0.38/0.56 (define @t14 () (tptp.double_divide @t13 tptp.identity)) % 0.38/0.56 (define @t15 () (tptp.double_divide @t14 tptp.identity)) % 0.38/0.56 (define @t16 () (tptp.double_divide (tptp.double_divide tptp.a1 tptp.identity) tptp.identity)) % 0.38/0.56 (define @t17 () (tptp.double_divide @t16 (tptp.double_divide @t16 tptp.identity))) % 0.38/0.56 (define @t18 () (tptp.double_divide @t13 @t17)) % 0.38/0.56 (define @t19 () (tptp.double_divide @t18 @t15)) % 0.38/0.56 (define @t20 () (tptp.double_divide @t14 @t15)) % 0.38/0.56 (define @t21 () (tptp.double_divide @t20 @t19)) % 0.38/0.56 (define @t22 () (tptp.double_divide @t21 @t14)) % 0.38/0.56 (define @t23 () (= @t13 @t22)) % 0.38/0.56 (define @t24 () (= @t22 @t13)) % 0.38/0.56 (define @t25 () (@list @t13)) % 0.38/0.56 (define @t26 () (@list @t14)) % 0.38/0.56 (define @t27 () (@list @t16)) % 0.38/0.56 (define @t28 () (forall @t7 (= @t1 @t6))) % 0.38/0.56 (assume @p1 @t8) % 0.38/0.56 (assume @p2 (forall (@list @t3 @t2) (= (tptp.multiply @t3 @t2) (tptp.double_divide (tptp.double_divide @t2 @t3) tptp.identity)))) % 0.38/0.56 (assume @p3 @t11) % 0.38/0.56 (assume @p4 (forall @t10 (= tptp.identity (tptp.double_divide @t3 @t9)))) % 0.38/0.56 (assume @p5 (not (= (tptp.multiply @t12 tptp.a1) tptp.identity))) % 0.38/0.56 (step @p6 :rule eq-symm :args (@t6 @t1)) % 0.38/0.56 (step @p7 :rule cong :premises (@p6) :args (@t8)) % 0.38/0.56 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.38/0.56 (step @p9 :rule bool-eq-false :args (@t23)) % 0.38/0.56 (step @p10 :rule symm :premises (@p9)) % 0.38/0.56 (step @p11 :rule eq-symm :args (@t22 @t13)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11) :args ((not @t24))) % 0.38/0.56 (step @p13 :rule bool-eq-false :args (@t24)) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.56 (step @p15 :rule trans :premises (@p14 @p10)) % 0.38/0.56 (step @p16 :rule symm :premises (@p5)) % 0.38/0.56 (step @p17 :rule false_intro :premises (@p16)) % 0.38/0.56 (step @p18 :rule instantiate :premises (@p2) :args ((@list @t12 tptp.a1))) % 0.38/0.56 (step @p19 :rule symm :premises (@p18)) % 0.38/0.56 (step @p20 :rule instantiate :premises (@p4) :args (@t25)) % 0.38/0.56 (step @p21 :rule symm :premises (@p20)) % 0.38/0.56 (step @p22 :rule eq-symm :args (@t9 @t4)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 0.38/0.56 (step @p24 :rule eq_resolve :premises (@p3 @p23)) % 0.38/0.56 (step @p25 :rule instantiate :premises (@p24) :args (@t25)) % 0.38/0.56 (step @p26 :rule instantiate :premises (@p4) :args (@t26)) % 0.38/0.56 (step @p27 :rule symm :premises (@p26)) % 0.38/0.56 (step @p28 :rule instantiate :premises (@p24) :args (@t26)) % 0.38/0.56 (step @p29 :rule instantiate :premises (@p4) :args (@t27)) % 0.38/0.56 (step @p30 :rule symm :premises (@p29)) % 0.38/0.56 (step @p31 :rule instantiate :premises (@p24) :args (@t27)) % 0.38/0.56 (step @p32 :rule refl :args (@t16)) % 0.38/0.56 (step @p33 :rule cong :premises (@p32 @p31) :args (@t17)) % 0.38/0.56 (step @p34 :rule trans :premises (@p33 @p30)) % 0.38/0.56 (step @p35 :rule refl :args (@t13)) % 0.38/0.56 (step @p36 :rule cong :premises (@p35 @p34) :args (@t18)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36 @p28) :args (@t19)) % 0.38/0.56 (step @p38 :rule trans :premises (@p37 @p27)) % 0.38/0.56 (step @p39 :rule instantiate :premises (@p4) :args ((@list tptp.a1))) % 0.38/0.56 (step @p40 :rule refl :args (@t14)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40 @p28) :args (@t20)) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p27 @p39)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42 @p38) :args (@t21)) % 0.38/0.56 (step @p44 :rule cong :premises (@p43 @p25) :args (@t22)) % 0.38/0.56 (step @p45 :rule trans :premises (@p44 @p21)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45 @p19) :args (@t24)) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p17)) % 0.38/0.56 (step @p48 :rule eq_resolve :premises (@p47 @p15)) % 0.38/0.56 (step @p49 :rule false_elim :premises (@p48)) % 0.38/0.56 (assume-push @p56 @t28) % 0.38/0.56 (step @p51 :rule instantiate :premises (@p8) :args ((@list @t14 @t14 @t13 @t16))) % 0.38/0.56 (step-pop @p57 :rule scope :premises (@p51)) % 0.38/0.56 (step @p52 :rule process_scope :premises (@p57) :args (@t23)) % 0.38/0.56 (step @p54 :rule implies_elim :premises (@p52)) % 0.38/0.56 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p8) :args (false (@list true false) (@list @t23 @t28))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------