%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN412+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 09:08:49 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN412+1 : TPTP v9.2.1. Released v2.0.0. % 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 : n002.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 23:27:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.f (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t2 () (@var "Y" $$unsorted)) % 0.31/0.55 (define @t3 () (@list @t2)) % 0.31/0.55 (define @t4 () (forall @t3 (= (tptp.f @t1 @t2) (not (tptp.f @t1 @t1))))) % 0.31/0.55 (define @t5 () (@list @t1)) % 0.31/0.55 (define @t6 () (exists @t5 @t4)) % 0.31/0.55 (define @t7 () (forall @t5 (not @t4))) % 0.31/0.55 (define @t8 () (not @t7)) % 0.31/0.55 (define @t9 () (@quantifiers_skolemize @t7 0)) % 0.31/0.55 (define @t10 () (tptp.f @t9 @t9)) % 0.31/0.55 (define @t11 () (not @t10)) % 0.31/0.55 (define @t12 () (forall @t3 (= (tptp.f @t9 @t2) @t11))) % 0.31/0.55 (define @t13 () (not (not @t12))) % 0.31/0.55 (define @t14 () (= @t10 @t11)) % 0.31/0.55 (assume @p1 (not (not @t6))) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule exists-elim :args ((= @t6 @t8))) % 0.31/0.55 (step @p4 :rule bool-double-not-elim :args (@t6)) % 0.31/0.55 (step @p5 :rule trans :premises (@p4 @p3)) % 0.31/0.55 (step @p6 :rule eq_resolve :premises (@p1 @p5)) % 0.31/0.55 (step @p7 :rule refl :args (@t12)) % 0.31/0.55 (step @p8 :rule bool-double-not-elim :args (@t7)) % 0.31/0.55 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or (not @t8) @t12))) % 0.31/0.55 (step @p10 :rule bool-double-not-elim :args (@t12)) % 0.31/0.55 (step @p11 :rule refl :args (@t8)) % 0.31/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args ((=> @t8 @t13))) % 0.31/0.55 (assume-push @p31 @t8) % 0.31/0.55 (step @p14 :rule skolemize :premises (@p6)) % 0.31/0.55 (step-pop @p32 :rule scope :premises (@p14)) % 0.31/0.55 (step @p15 :rule process_scope :premises (@p32) :args (@t13)) % 0.31/0.55 (step @p17 :rule eq_resolve :premises (@p15 @p12)) % 0.31/0.55 (step @p18 :rule implies_elim :premises (@p17)) % 0.31/0.55 (step @p19 :rule eq_resolve :premises (@p18 @p9)) % 0.31/0.55 (step @p20 :rule chain_m_resolution :premises (@p19 @p6) :args (@t12 (@list true) (@list @t7))) % 0.31/0.55 (step @p21 :rule bool-impl-false1 :args (@t12)) % 0.31/0.55 (step @p22 :rule bool-eq-nrefl :args (@t10)) % 0.31/0.55 (step @p23 :rule cong :premises (@p7 @p22) :args ((=> @t12 @t14))) % 0.31/0.55 (step @p24 :rule trans :premises (@p23 @p21)) % 0.31/0.55 (assume-push @p33 @t12) % 0.31/0.55 (step @p26 :rule instantiate :premises (@p20) :args ((@list @t9))) % 0.31/0.55 (step-pop @p34 :rule scope :premises (@p26)) % 0.31/0.55 (step @p27 :rule process_scope :premises (@p34) :args (@t14)) % 0.31/0.55 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.31/0.55 (step @p30 false :rule chain_m_resolution :premises (@p29 @p20) :args (false (@list false) (@list @t12))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------