%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN052+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 : n023.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 09:07:54 AM UTC 2026 % Result : Theorem 0.28s 0.56s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN052+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n023.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:19:58 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.56 % SZS status Theorem % 0.28/0.56 % SZS output start Proof % 0.28/0.56 ( % 0.28/0.56 (declare-sort $$unsorted 0) % 0.28/0.56 (declare-const tptp.p Bool) % 0.28/0.56 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.28/0.56 (define @t1 () (@var "X1" $$unsorted)) % 0.28/0.56 (define @t2 () (forall (@list @t1) (tptp.big_f @t1))) % 0.28/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.28/0.56 (define @t4 () (forall (@list @t3) (= tptp.p (tptp.big_f @t3)))) % 0.28/0.56 (define @t5 () (@const 0 $$unsorted)) % 0.28/0.56 (define @t6 () (@list @t5)) % 0.28/0.56 (define @t7 () (tptp.big_f @t5)) % 0.28/0.56 (define @t8 () (= tptp.p @t7)) % 0.28/0.56 (define @t9 () (not @t8)) % 0.28/0.56 (define @t10 () (not tptp.p)) % 0.28/0.56 (define @t11 () (not @t2)) % 0.28/0.56 (define @t12 () (@quantifiers_skolemize @t2 0)) % 0.28/0.56 (define @t13 () (tptp.big_f @t12)) % 0.28/0.56 (define @t14 () (not @t13)) % 0.28/0.56 (define @t15 () (= tptp.p @t13)) % 0.28/0.56 (define @t16 () (not @t15)) % 0.28/0.56 (assume @p1 (not (=> @t4 (= tptp.p @t2)))) % 0.28/0.56 (assume @p2 true) % 0.28/0.56 (step @p3 :rule not_implies_elim1 :premises (@p1)) % 0.28/0.56 (step @p4 :rule instantiate :premises (@p3) :args (@t6)) % 0.28/0.56 (step @p5 :rule cnf_equiv_pos1 :args (@t8)) % 0.28/0.56 (step @p6 :rule reordering :premises (@p5) :args ((or @t10 @t7 @t9))) % 0.28/0.56 (assume-push @p39 @t2) % 0.28/0.56 (step @p8 :rule instantiate :premises (@p39) :args (@t6)) % 0.28/0.56 (step-pop @p40 :rule scope :premises (@p8)) % 0.28/0.56 (step @p9 :rule process_scope :premises (@p40) :args (@t7)) % 0.28/0.56 (step @p11 :rule implies_elim :premises (@p9)) % 0.28/0.56 (step @p12 :rule not_implies_elim2 :premises (@p1)) % 0.28/0.56 (step @p13 :rule not_equiv_elim1 :premises (@p12)) % 0.28/0.56 (step @p14 :rule chain_m_resolution :premises (@p13 @p11 @p6 @p4) :args (@t7 (@list true true false) (@list @t2 tptp.p @t8))) % 0.28/0.56 (step @p15 :rule cnf_equiv_pos2 :args (@t8)) % 0.28/0.56 (step @p16 :rule reordering :premises (@p15) :args ((or tptp.p (not @t7) @t9))) % 0.28/0.56 (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p4) :args (tptp.p (@list false false) (@list @t7 @t8))) % 0.28/0.56 (step @p18 :rule not_equiv_elim2 :premises (@p12)) % 0.28/0.56 (step @p19 :rule chain_m_resolution :premises (@p18 @p17) :args (@t11 (@list false) (@list tptp.p))) % 0.28/0.56 (step @p20 :rule refl :args (@t14)) % 0.28/0.56 (step @p21 :rule bool-double-not-elim :args (@t2)) % 0.28/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t11) @t14))) % 0.28/0.56 (assume-push @p41 @t11) % 0.28/0.56 (step @p24 :rule skolemize :premises (@p41)) % 0.28/0.56 (step-pop @p42 :rule scope :premises (@p24)) % 0.28/0.56 (step @p25 :rule process_scope :premises (@p42) :args (@t14)) % 0.28/0.56 (step @p27 :rule implies_elim :premises (@p25)) % 0.28/0.56 (step @p28 :rule eq_resolve :premises (@p27 @p22)) % 0.28/0.56 (step @p29 :rule chain_m_resolution :premises (@p28 @p19) :args (@t14 (@list true) (@list @t2))) % 0.28/0.56 (step @p30 :rule cnf_equiv_pos1 :args (@t15)) % 0.28/0.56 (step @p31 :rule reordering :premises (@p30) :args ((or @t10 @t13 @t16))) % 0.28/0.56 (step @p32 :rule chain_m_resolution :premises (@p31 @p17 @p29) :args (@t16 (@list false true) (@list tptp.p @t13))) % 0.28/0.56 (assume-push @p43 @t4) % 0.28/0.56 (step @p34 :rule instantiate :premises (@p3) :args ((@list @t12))) % 0.28/0.56 (step-pop @p44 :rule scope :premises (@p34)) % 0.28/0.56 (step @p35 :rule process_scope :premises (@p44) :args (@t15)) % 0.28/0.56 (step @p37 :rule implies_elim :premises (@p35)) % 0.28/0.56 (step @p38 false :rule chain_m_resolution :premises (@p37 @p32 @p3) :args (false (@list true false) (@list @t15 @t4))) % 0.28/0.56 ) % 0.28/0.56 % SZS output end Proof % 0.35/0.56 % cvc5 exiting %------------------------------------------------------------------------------