%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW469_1 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:04:59 AM UTC 2026 % Result : Theorem 0.26s 0.56s % Output : Proof 0.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW469_1 : TPTP v9.2.1. Released v5.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.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 22:02:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.26/0.56 % SZS status Theorem % 0.26/0.56 % SZS output start Proof % 0.26/0.56 ( % 0.26/0.56 (declare-sort tptp.state 0) % 0.26/0.56 (declare-const tptp.induct_true Bool) % 0.26/0.56 (declare-const tptp.induct_false Bool) % 0.26/0.56 (declare-const tptp.hoare_1310879719gleton Bool) % 0.26/0.56 (define @t1 () (@var "T" tptp.state)) % 0.26/0.56 (define @t2 () (@var "S" tptp.state)) % 0.26/0.56 (define @t3 () (= @t2 @t1)) % 0.26/0.56 (define @t4 () (not @t3)) % 0.26/0.56 (define @t5 () (@list @t2 @t1)) % 0.26/0.56 (define @t6 () (exists @t5 @t4)) % 0.26/0.56 (define @t7 () (= tptp.hoare_1310879719gleton @t6)) % 0.26/0.56 (define @t8 () (@list @t2)) % 0.26/0.56 (define @t9 () (forall (@list @t1) (not (forall @t8 @t3)))) % 0.26/0.56 (define @t10 () (not @t9)) % 0.26/0.56 (define @t11 () (@quantifiers_skolemize @t9 0)) % 0.26/0.56 (define @t12 () (forall @t8 (= @t2 @t11))) % 0.26/0.56 (define @t13 () (not (not @t12))) % 0.26/0.56 (define @t14 () (forall @t5 (not @t4))) % 0.26/0.56 (define @t15 () (not @t14)) % 0.26/0.56 (define @t16 () (forall @t5 @t3)) % 0.26/0.56 (define @t17 () (not @t16)) % 0.26/0.56 (define @t18 () (@quantifiers_skolemize @t16 0)) % 0.26/0.56 (define @t19 () (= @t18 @t11)) % 0.26/0.56 (assume @p1 @t7) % 0.26/0.56 (assume @p2 (not tptp.induct_false)) % 0.26/0.56 (assume @p3 tptp.induct_true) % 0.26/0.56 (assume @p4 tptp.hoare_1310879719gleton) % 0.26/0.56 (assume @p5 @t10) % 0.26/0.56 (assume @p6 true) % 0.26/0.56 (step @p7 :rule refl :args (@t12)) % 0.26/0.56 (step @p8 :rule bool-double-not-elim :args (@t9)) % 0.26/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or (not @t10) @t12))) % 0.26/0.56 (step @p10 :rule bool-double-not-elim :args (@t12)) % 0.26/0.56 (step @p11 :rule refl :args (@t10)) % 0.26/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args ((=> @t10 @t13))) % 0.26/0.56 (assume-push @p46 @t10) % 0.26/0.56 (step @p14 :rule skolemize :premises (@p5)) % 0.26/0.56 (step-pop @p47 :rule scope :premises (@p14)) % 0.26/0.56 (step @p15 :rule process_scope :premises (@p47) :args (@t13)) % 0.26/0.56 (step @p17 :rule eq_resolve :premises (@p15 @p12)) % 0.26/0.56 (step @p18 :rule implies_elim :premises (@p17)) % 0.26/0.56 (step @p19 :rule eq_resolve :premises (@p18 @p9)) % 0.26/0.56 (step @p20 :rule chain_m_resolution :premises (@p19 @p5) :args (@t12 (@list true) (@list @t9))) % 0.26/0.56 (step @p21 :rule bool-double-not-elim :args (@t3)) % 0.26/0.56 (step @p22 :rule cong :premises (@p21) :args (@t14)) % 0.26/0.56 (step @p23 :rule cong :premises (@p22) :args (@t15)) % 0.26/0.56 (step @p24 :rule exists-elim :args ((= @t6 @t15))) % 0.26/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.26/0.56 (step @p26 :rule refl :args (tptp.hoare_1310879719gleton)) % 0.26/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args (@t7)) % 0.26/0.56 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.26/0.56 (step @p29 :rule equiv_elim1 :premises (@p28)) % 0.26/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t17 (not tptp.hoare_1310879719gleton)))) % 0.26/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p4) :args (@t17 (@list false) (@list tptp.hoare_1310879719gleton))) % 0.26/0.56 (step @p32 :rule skolemize :premises (@p31)) % 0.26/0.56 (step @p33 :rule false_intro :premises (@p32)) % 0.26/0.56 (step @p34 :rule instantiate :premises (@p20) :args ((@list (@quantifiers_skolemize @t16 1)))) % 0.26/0.56 (step @p35 :rule symm :premises (@p34)) % 0.26/0.56 (step @p36 :rule refl :args (@t18)) % 0.26/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args (@t19)) % 0.26/0.56 (step @p38 :rule trans :premises (@p37 @p33)) % 0.26/0.56 (step @p39 :rule false_elim :premises (@p38)) % 0.26/0.56 (assume-push @p48 @t12) % 0.26/0.56 (step @p41 :rule instantiate :premises (@p20) :args ((@list @t18))) % 0.26/0.56 (step-pop @p49 :rule scope :premises (@p41)) % 0.26/0.56 (step @p42 :rule process_scope :premises (@p49) :args (@t19)) % 0.26/0.56 (step @p44 :rule implies_elim :premises (@p42)) % 0.26/0.56 (step @p45 false :rule chain_m_resolution :premises (@p44 @p39 @p20) :args (false (@list true false) (@list @t19 @t12))) % 0.26/0.56 ) % 0.26/0.56 % SZS output end Proof % 0.26/0.56 % cvc5 exiting %------------------------------------------------------------------------------