%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN347+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 : n010.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 09:08:38 AM UTC 2026 % Result : Theorem 0.26s 0.55s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN347+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 % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:24:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.26/0.55 % SZS status Theorem % 0.26/0.55 % SZS output start Proof % 0.26/0.55 ( % 0.26/0.55 (declare-sort $$unsorted 0) % 0.26/0.55 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.26/0.55 (define @t1 () (@var "Y" $$unsorted)) % 0.26/0.55 (define @t2 () (@var "Z2" $$unsorted)) % 0.26/0.55 (define @t3 () (@var "Z1" $$unsorted)) % 0.26/0.55 (define @t4 () (@var "X2" $$unsorted)) % 0.26/0.55 (define @t5 () (@var "X1" $$unsorted)) % 0.26/0.55 (define @t6 () (= (tptp.big_f @t5 @t1) (tptp.big_f @t4 @t1))) % 0.26/0.55 (define @t7 () (@list @t1)) % 0.26/0.55 (define @t8 () (forall @t7 (or (= @t6 (tptp.big_f @t3 @t2)) (= (tptp.big_f @t3 @t1) (tptp.big_f @t2 @t1))))) % 0.26/0.55 (define @t9 () (@list @t5 @t4)) % 0.26/0.55 (define @t10 () (exists @t9 @t8)) % 0.26/0.55 (define @t11 () (@list @t3 @t2)) % 0.26/0.55 (define @t12 () (forall @t11 @t10)) % 0.26/0.55 (define @t13 () (not @t12)) % 0.26/0.55 (define @t14 () (not (forall @t9 (not @t8)))) % 0.26/0.55 (define @t15 () (forall @t11 @t14)) % 0.26/0.55 (define @t16 () (@quantifiers_skolemize @t15 1)) % 0.26/0.55 (define @t17 () (tptp.big_f @t16 @t1)) % 0.26/0.55 (define @t18 () (@quantifiers_skolemize @t15 0)) % 0.26/0.55 (define @t19 () (tptp.big_f @t18 @t1)) % 0.26/0.55 (define @t20 () (= @t19 @t17)) % 0.26/0.55 (define @t21 () (tptp.big_f @t18 @t16)) % 0.26/0.55 (define @t22 () (forall @t9 (not (forall @t7 (or (= @t6 @t21) @t20))))) % 0.26/0.55 (define @t23 () (not @t15)) % 0.26/0.55 (define @t24 () (not (not @t22))) % 0.26/0.55 (define @t25 () (@list true)) % 0.26/0.55 (define @t26 () (or @t21 (forall @t7 @t20))) % 0.26/0.55 (define @t27 () (@const 0 $$unsorted)) % 0.26/0.55 (define @t28 () (tptp.big_f @t27 @t1)) % 0.26/0.55 (define @t29 () (= @t28 @t28)) % 0.26/0.55 (define @t30 () (or (= @t29 @t21) @t20)) % 0.26/0.55 (define @t31 () (forall @t7 @t30)) % 0.26/0.55 (define @t32 () (not @t31)) % 0.26/0.55 (define @t33 () (@list false)) % 0.26/0.55 (define @t34 () (@list @t22)) % 0.26/0.55 (define @t35 () (= @t17 @t19)) % 0.26/0.55 (define @t36 () (or (= @t35 @t21) @t20)) % 0.26/0.55 (define @t37 () (forall @t7 @t36)) % 0.26/0.55 (define @t38 () (not @t37)) % 0.26/0.55 (define @t39 () (forall @t7 (or (= @t21 @t20) @t20))) % 0.26/0.55 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.26/0.55 (define @t41 () (= (tptp.big_f @t18 @t40) (tptp.big_f @t16 @t40))) % 0.26/0.55 (define @t42 () (= @t21 @t41)) % 0.26/0.55 (define @t43 () (or @t42 @t41)) % 0.26/0.55 (define @t44 () (@list @t43)) % 0.26/0.55 (assume @p1 @t13) % 0.26/0.55 (assume @p2 true) % 0.26/0.55 (step @p3 :rule exists-elim :args ((= @t10 @t14))) % 0.26/0.55 (step @p4 :rule cong :premises (@p3) :args (@t12)) % 0.26/0.55 (step @p5 :rule cong :premises (@p4) :args (@t13)) % 0.26/0.55 (step @p6 :rule eq_resolve :premises (@p1 @p5)) % 0.26/0.55 (step @p7 :rule refl :args (@t22)) % 0.26/0.55 (step @p8 :rule bool-double-not-elim :args (@t15)) % 0.26/0.55 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or (not @t23) @t22))) % 0.26/0.55 (step @p10 :rule bool-double-not-elim :args (@t22)) % 0.26/0.55 (step @p11 :rule refl :args (@t23)) % 0.26/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args ((=> @t23 @t24))) % 0.26/0.55 (assume-push @p67 @t23) % 0.26/0.55 (step @p14 :rule skolemize :premises (@p6)) % 0.26/0.55 (step-pop @p68 :rule scope :premises (@p14)) % 0.26/0.55 (step @p15 :rule process_scope :premises (@p68) :args (@t24)) % 0.26/0.55 (step @p17 :rule eq_resolve :premises (@p15 @p12)) % 0.26/0.55 (step @p18 :rule implies_elim :premises (@p17)) % 0.26/0.55 (step @p19 :rule eq_resolve :premises (@p18 @p9)) % 0.26/0.55 (step @p20 :rule chain_m_resolution :premises (@p19 @p6) :args (@t22 @t25 (@list @t15))) % 0.26/0.55 (step @p21 :rule quant-miniscope-or :args ((= (forall @t7 (or @t21 @t20)) @t26))) % 0.26/0.55 (step @p22 :rule refl :args (@t20)) % 0.26/0.55 (step @p23 :rule bool-eq-true :args (@t21)) % 0.26/0.55 (step @p24 :rule eq-refl :args (@t28)) % 0.26/0.55 (step @p25 :rule refl :args (@t21)) % 0.26/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t21 @t29))) % 0.26/0.55 (step @p27 :rule trans :premises (@p26 @p23)) % 0.26/0.55 (step @p28 :rule eq-symm :args (@t29 @t21)) % 0.26/0.55 (step @p29 :rule trans :premises (@p28 @p27)) % 0.26/0.55 (step @p30 :rule nary_cong :premises (@p29 @p22) :args (@t30)) % 0.26/0.55 (step @p31 :rule cong :premises (@p30) :args (@t31)) % 0.26/0.55 (step @p32 :rule trans :premises (@p31 @p21)) % 0.26/0.55 (step @p33 :rule cong :premises (@p32) :args (@t32)) % 0.26/0.55 (step @p34 :rule cong :premises (@p7 @p33) :args ((=> @t22 @t32))) % 0.26/0.55 (assume-push @p69 @t22) % 0.26/0.55 (step @p36 :rule instantiate :premises (@p20) :args ((@list @t27 @t27))) % 0.26/0.55 (step-pop @p70 :rule scope :premises (@p36)) % 0.26/0.55 (step @p37 :rule process_scope :premises (@p70) :args (@t32)) % 0.26/0.55 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.26/0.55 (step @p40 :rule implies_elim :premises (@p39)) % 0.26/0.55 (step @p41 :rule chain_m_resolution :premises (@p40 @p20) :args ((not @t26) @t33 @t34)) % 0.26/0.55 (step @p42 :rule cnf_or_neg :args (@t26 0)) % 0.34/0.56 (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args ((not @t21) @t25 (@list @t26))) % 0.34/0.56 (step @p44 :rule eq-symm :args (@t17 @t19)) % 0.34/0.56 (step @p45 :rule cong :premises (@p25 @p44) :args ((= @t21 @t35))) % 0.34/0.56 (step @p46 :rule eq-symm :args (@t35 @t21)) % 0.34/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.34/0.56 (step @p48 :rule nary_cong :premises (@p47 @p22) :args (@t36)) % 0.34/0.56 (step @p49 :rule cong :premises (@p48) :args (@t37)) % 0.34/0.56 (step @p50 :rule cong :premises (@p49) :args (@t38)) % 0.34/0.56 (step @p51 :rule cong :premises (@p7 @p50) :args ((=> @t22 @t38))) % 0.34/0.56 (assume-push @p71 @t22) % 0.34/0.56 (step @p53 :rule instantiate :premises (@p20) :args ((@list @t16 @t18))) % 0.34/0.56 (step-pop @p72 :rule scope :premises (@p53)) % 0.34/0.56 (step @p54 :rule process_scope :premises (@p72) :args (@t38)) % 0.34/0.56 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.34/0.56 (step @p57 :rule implies_elim :premises (@p56)) % 0.34/0.56 (step @p58 :rule chain_m_resolution :premises (@p57 @p20) :args ((not @t39) @t33 @t34)) % 0.34/0.56 (step @p59 :rule skolemize :premises (@p58)) % 0.34/0.56 (step @p60 :rule cnf_or_neg :args (@t43 0)) % 0.34/0.56 (step @p61 :rule chain_m_resolution :premises (@p60 @p59) :args ((not @t42) @t25 @t44)) % 0.34/0.56 (step @p62 :rule cnf_or_neg :args (@t43 1)) % 0.34/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p59) :args ((not @t41) @t25 @t44)) % 0.34/0.56 (step @p64 :rule cnf_equiv_neg1 :args (@t42)) % 0.34/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t21 @t41 @t42))) % 0.34/0.56 (step @p66 false :rule chain_m_resolution :premises (@p65 @p63 @p61 @p43) :args (false (@list true true true) (@list @t41 @t42 @t21))) % 0.34/0.56 ) % 0.34/0.56 % SZS output end Proof % 0.34/0.56 % cvc5 exiting %------------------------------------------------------------------------------