%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP206-1 : TPTP v9.2.1. Released v2.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:20:12 AM UTC 2026 % Result : Unsatisfiable 16.12s 16.35s % Output : Proof 16.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP206-1 : TPTP v9.2.1. Released v2.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n003.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 00:59:14 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----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... % 16.03/16.29 --- Run --no-e-matching --full-saturate-quant at 6... % 16.12/16.35 % SZS status Unsatisfiable % 16.12/16.35 % SZS output start Proof % 16.12/16.35 ( % 16.12/16.35 (declare-sort $$unsorted 0) % 16.12/16.35 (declare-const tptp.b $$unsorted) % 16.12/16.35 (declare-const tptp.c $$unsorted) % 16.12/16.35 (declare-const tptp.left_inverse (-> $$unsorted $$unsorted)) % 16.12/16.35 (declare-const tptp.right_division (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.35 (declare-const tptp.a $$unsorted) % 16.12/16.35 (declare-const tptp.left_division (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.35 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.35 (declare-const tptp.right_inverse (-> $$unsorted $$unsorted)) % 16.12/16.35 (declare-const tptp.identity $$unsorted) % 16.12/16.35 (define @t1 () (@var "X" $$unsorted)) % 16.12/16.35 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.12/16.35 (define @t3 () (@list @t1)) % 16.12/16.35 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.12/16.35 (define @t5 () (tptp.multiply @t1 tptp.identity)) % 16.12/16.35 (define @t6 () (forall @t3 (= @t5 @t1))) % 16.12/16.35 (define @t7 () (@var "Y" $$unsorted)) % 16.12/16.35 (define @t8 () (tptp.multiply @t1 (tptp.left_division @t1 @t7))) % 16.12/16.35 (define @t9 () (@list @t1 @t7)) % 16.12/16.35 (define @t10 () (forall @t9 (= @t8 @t7))) % 16.12/16.35 (define @t11 () (tptp.multiply @t1 @t7)) % 16.12/16.35 (define @t12 () (@var "Z" $$unsorted)) % 16.12/16.35 (define @t13 () (forall (@list @t1 @t7 @t12) (= (tptp.multiply @t1 (tptp.multiply (tptp.multiply @t7 @t12) @t1)) (tptp.multiply @t11 (tptp.multiply @t12 @t1))))) % 16.12/16.35 (define @t14 () (tptp.multiply tptp.b tptp.c)) % 16.12/16.35 (define @t15 () (tptp.multiply tptp.a @t14)) % 16.12/16.35 (define @t16 () (tptp.multiply tptp.identity tptp.a)) % 16.12/16.35 (define @t17 () (tptp.multiply @t15 @t16)) % 16.12/16.35 (define @t18 () (tptp.multiply (tptp.multiply @t14 tptp.identity) tptp.a)) % 16.12/16.35 (define @t19 () (tptp.multiply tptp.a @t18)) % 16.12/16.35 (define @t20 () (= @t19 @t17)) % 16.12/16.35 (define @t21 () (= @t17 @t19)) % 16.12/16.35 (assume @p1 @t4) % 16.12/16.35 (assume @p2 @t6) % 16.12/16.35 (assume @p3 @t10) % 16.12/16.35 (assume @p4 (forall @t9 (= (tptp.left_division @t1 @t11) @t7))) % 16.12/16.35 (assume @p5 (forall @t9 (= (tptp.multiply (tptp.right_division @t1 @t7) @t7) @t1))) % 16.12/16.35 (assume @p6 (forall @t9 (= (tptp.right_division @t11 @t7) @t1))) % 16.12/16.35 (assume @p7 (forall @t3 (= (tptp.multiply @t1 (tptp.right_inverse @t1)) tptp.identity))) % 16.12/16.35 (assume @p8 (forall @t3 (= (tptp.multiply (tptp.left_inverse @t1) @t1) tptp.identity))) % 16.12/16.35 (assume @p9 @t13) % 16.12/16.35 (assume @p10 (not (= (tptp.multiply @t15 tptp.a) (tptp.multiply (tptp.multiply tptp.a tptp.b) (tptp.multiply tptp.c tptp.a))))) % 16.12/16.35 (step @p11 :rule bool-eq-false :args (@t20)) % 16.12/16.35 (step @p12 :rule symm :premises (@p11)) % 16.12/16.35 (step @p13 :rule eq-symm :args (@t17 @t19)) % 16.12/16.35 (step @p14 :rule cong :premises (@p13) :args ((not @t21))) % 16.12/16.35 (step @p15 :rule bool-eq-false :args (@t21)) % 16.12/16.35 (step @p16 :rule trans :premises (@p15 @p14)) % 16.12/16.35 (step @p17 :rule trans :premises (@p16 @p12)) % 16.12/16.35 (step @p18 :rule false_intro :premises (@p10)) % 16.12/16.35 (step @p19 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.c))) % 16.12/16.35 (step @p20 :rule refl :args (tptp.a)) % 16.12/16.35 (step @p21 :rule eq-symm :args (@t5 @t1)) % 16.12/16.35 (step @p22 :rule cong :premises (@p21) :args (@t6)) % 16.12/16.35 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 16.12/16.35 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t14))) % 16.12/16.35 (step @p25 :rule symm :premises (@p24)) % 16.12/16.35 (step @p26 :rule cong :premises (@p25 @p20) :args (@t18)) % 16.12/16.35 (step @p27 :rule cong :premises (@p20 @p26) :args (@t19)) % 16.12/16.35 (step @p28 :rule trans :premises (@p27 @p19)) % 16.12/16.35 (step @p29 :rule eq-symm :args (@t8 @t7)) % 16.12/16.35 (step @p30 :rule cong :premises (@p29) :args (@t10)) % 16.12/16.35 (step @p31 :rule eq_resolve :premises (@p3 @p30)) % 16.12/16.35 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.identity tptp.a))) % 16.12/16.35 (step @p33 :rule symm :premises (@p32)) % 16.12/16.35 (step @p34 :rule eq-symm :args (@t2 @t1)) % 16.12/16.35 (step @p35 :rule cong :premises (@p34) :args (@t4)) % 16.12/16.35 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 16.12/16.35 (step @p37 :rule instantiate :premises (@p36) :args ((@list (tptp.left_division tptp.identity tptp.a)))) % 16.12/16.35 (step @p38 :rule symm :premises (@p37)) % 16.12/16.35 (step @p39 :rule trans :premises (@p32 @p38)) % 16.12/16.35 (step @p40 :rule refl :args (tptp.identity)) % 16.12/16.35 (step @p41 :rule cong :premises (@p40 @p39) :args (@t16)) % 16.12/16.35 (step @p42 :rule trans :premises (@p41 @p33)) % 16.12/16.35 (step @p43 :rule refl :args (@t15)) % 16.12/16.35 (step @p44 :rule cong :premises (@p43 @p42) :args (@t17)) % 16.12/16.35 (step @p45 :rule cong :premises (@p44 @p28) :args (@t21)) % 16.12/16.35 (step @p46 :rule trans :premises (@p45 @p18)) % 16.12/16.35 (step @p47 :rule eq_resolve :premises (@p46 @p17)) % 16.12/16.35 (step @p48 :rule false_elim :premises (@p47)) % 16.12/16.35 (assume-push @p55 @t13) % 16.12/16.35 (step @p50 :rule instantiate :premises (@p9) :args ((@list tptp.a @t14 tptp.identity))) % 16.12/16.35 (step-pop @p56 :rule scope :premises (@p50)) % 16.12/16.35 (step @p51 :rule process_scope :premises (@p56) :args (@t20)) % 16.12/16.35 (step @p53 :rule implies_elim :premises (@p51)) % 16.12/16.35 (step @p54 false :rule chain_m_resolution :premises (@p53 @p48 @p9) :args (false (@list true false) (@list @t20 @t13))) % 16.12/16.35 ) % 16.12/16.35 % SZS output end Proof % 16.12/16.36 % cvc5 exiting %------------------------------------------------------------------------------