%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP010-4 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:19:35 AM UTC 2026 % Result : Unsatisfiable 16.43s 16.61s % Output : Proof 16.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP010-4 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 00:40:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/16.58 --- Run --no-e-matching --full-saturate-quant at 6... % 16.43/16.61 % SZS status Unsatisfiable % 16.43/16.61 % SZS output start Proof % 16.43/16.61 ( % 16.43/16.61 (declare-sort $$unsorted 0) % 16.43/16.61 (declare-const tptp.c $$unsorted) % 16.43/16.61 (declare-const tptp.b $$unsorted) % 16.43/16.61 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.43/16.61 (declare-const tptp.identity $$unsorted) % 16.43/16.61 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.43/16.61 (define @t1 () (@var "Z" $$unsorted)) % 16.43/16.61 (define @t2 () (@var "Y" $$unsorted)) % 16.43/16.61 (define @t3 () (@var "X" $$unsorted)) % 16.43/16.61 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.multiply (tptp.multiply @t3 @t2) @t1) (tptp.multiply @t3 (tptp.multiply @t2 @t1))))) % 16.43/16.61 (define @t5 () (tptp.multiply tptp.identity @t3)) % 16.43/16.61 (define @t6 () (@list @t3)) % 16.43/16.61 (define @t7 () (forall @t6 (= @t5 @t3))) % 16.43/16.61 (define @t8 () (tptp.multiply (tptp.inverse @t3) @t3)) % 16.43/16.61 (define @t9 () (forall @t6 (= @t8 tptp.identity))) % 16.43/16.61 (define @t10 () (tptp.multiply tptp.c tptp.b)) % 16.43/16.61 (define @t11 () (tptp.multiply tptp.b tptp.c)) % 16.43/16.61 (define @t12 () (not (= @t11 tptp.identity))) % 16.43/16.61 (define @t13 () (tptp.inverse tptp.c)) % 16.43/16.61 (define @t14 () (tptp.multiply @t13 (tptp.multiply tptp.c @t11))) % 16.43/16.61 (define @t15 () (tptp.multiply (tptp.multiply @t13 tptp.c) @t11)) % 16.43/16.61 (define @t16 () (= @t15 @t14)) % 16.43/16.61 (define @t17 () (= @t14 @t15)) % 16.43/16.61 (define @t18 () (= tptp.identity @t11)) % 16.43/16.61 (define @t19 () (= @t3 @t5)) % 16.43/16.61 (define @t20 () (= tptp.identity @t8)) % 16.43/16.61 (define @t21 () (@list tptp.c)) % 16.43/16.61 (assume @p1 @t4) % 16.43/16.61 (assume @p2 @t7) % 16.43/16.61 (assume @p3 @t9) % 16.43/16.61 (assume @p4 (= @t10 tptp.identity)) % 16.43/16.61 (assume @p5 @t12) % 16.43/16.61 (step @p6 :rule bool-eq-false :args (@t16)) % 16.43/16.61 (step @p7 :rule symm :premises (@p6)) % 16.43/16.61 (step @p8 :rule eq-symm :args (@t14 @t15)) % 16.43/16.61 (step @p9 :rule cong :premises (@p8) :args ((not @t17))) % 16.43/16.61 (step @p10 :rule bool-eq-false :args (@t17)) % 16.43/16.61 (step @p11 :rule trans :premises (@p10 @p9)) % 16.43/16.61 (step @p12 :rule trans :premises (@p11 @p7)) % 16.43/16.61 (step @p13 :rule refl :args (@t11)) % 16.43/16.61 (step @p14 :rule symm :premises (@p4)) % 16.43/16.61 (step @p15 :rule cong :premises (@p14 @p13) :args (@t18)) % 16.43/16.61 (step @p16 :rule cong :premises (@p15) :args ((not @t18))) % 16.43/16.61 (step @p17 :rule eq-symm :args (@t11 tptp.identity)) % 16.43/16.61 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 16.43/16.61 (step @p19 :rule trans :premises (@p18 @p16)) % 16.43/16.61 (step @p20 :rule eq_resolve :premises (@p5 @p19)) % 16.43/16.61 (step @p21 :rule false_intro :premises (@p20)) % 16.43/16.61 (step @p22 :rule refl :args (@t3)) % 16.43/16.61 (step @p23 :rule cong :premises (@p14 @p22) :args (@t5)) % 16.43/16.61 (step @p24 :rule cong :premises (@p22 @p23) :args (@t19)) % 16.43/16.61 (step @p25 :rule cong :premises (@p24) :args ((forall @t6 @t19))) % 16.43/16.61 (step @p26 :rule eq-symm :args (@t5 @t3)) % 16.43/16.61 (step @p27 :rule cong :premises (@p26) :args (@t7)) % 16.43/16.61 (step @p28 :rule trans :premises (@p27 @p25)) % 16.43/16.61 (step @p29 :rule eq_resolve :premises (@p2 @p28)) % 16.43/16.61 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t11))) % 16.43/16.61 (step @p31 :rule symm :premises (@p30)) % 16.43/16.61 (step @p32 :rule eq-symm :args (@t10 @t8)) % 16.43/16.61 (step @p33 :rule cong :premises (@p32) :args ((forall @t6 (= @t10 @t8)))) % 16.43/16.61 (step @p34 :rule refl :args (@t8)) % 16.43/16.61 (step @p35 :rule cong :premises (@p14 @p34) :args (@t20)) % 16.43/16.61 (step @p36 :rule cong :premises (@p35) :args ((forall @t6 @t20))) % 16.43/16.61 (step @p37 :rule trans :premises (@p36 @p33)) % 16.43/16.61 (step @p38 :rule eq-symm :args (@t8 tptp.identity)) % 16.43/16.61 (step @p39 :rule cong :premises (@p38) :args (@t9)) % 16.43/16.61 (step @p40 :rule trans :premises (@p39 @p37)) % 16.43/16.61 (step @p41 :rule eq_resolve :premises (@p3 @p40)) % 16.43/16.61 (step @p42 :rule instantiate :premises (@p41) :args (@t21)) % 16.43/16.61 (step @p43 :rule cong :premises (@p42 @p13) :args (@t15)) % 16.43/16.61 (step @p44 :rule trans :premises (@p43 @p31)) % 16.43/16.61 (step @p45 :rule instantiate :premises (@p29) :args (@t21)) % 16.43/16.61 (step @p46 :rule symm :premises (@p45)) % 16.43/16.61 (step @p47 :rule instantiate :premises (@p1) :args ((@list tptp.c tptp.b tptp.c))) % 16.43/16.61 (step @p48 :rule symm :premises (@p47)) % 16.43/16.61 (step @p49 :rule trans :premises (@p48 @p46)) % 16.43/16.61 (step @p50 :rule refl :args (@t13)) % 16.43/16.61 (step @p51 :rule cong :premises (@p50 @p49) :args (@t14)) % 16.43/16.61 (step @p52 :rule trans :premises (@p51 @p42)) % 16.43/16.61 (step @p53 :rule cong :premises (@p52 @p44) :args (@t17)) % 16.43/16.61 (step @p54 :rule trans :premises (@p53 @p21)) % 16.43/16.61 (step @p55 :rule eq_resolve :premises (@p54 @p12)) % 16.43/16.61 (step @p56 :rule false_elim :premises (@p55)) % 16.43/16.61 (assume-push @p63 @t4) % 16.43/16.61 (step @p58 :rule instantiate :premises (@p1) :args ((@list @t13 tptp.c @t11))) % 16.43/16.61 (step-pop @p64 :rule scope :premises (@p58)) % 16.43/16.61 (step @p59 :rule process_scope :premises (@p64) :args (@t16)) % 16.43/16.61 (step @p61 :rule implies_elim :premises (@p59)) % 16.43/16.61 (step @p62 false :rule chain_m_resolution :premises (@p61 @p56 @p1) :args (false (@list true false) (@list @t16 @t4))) % 16.43/16.61 ) % 16.43/16.61 % SZS output end Proof % 16.43/16.61 % cvc5 exiting %------------------------------------------------------------------------------