%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN341+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 09:08:37 AM UTC 2026 % Result : Theorem 0.33s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN341+1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:22:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.57 % SZS status Theorem % 0.33/0.57 % SZS output start Proof % 0.33/0.57 ( % 0.33/0.57 (declare-sort $$unsorted 0) % 0.33/0.57 (declare-const tptp.big_f (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.57 (define @t1 () (@var "X4" $$unsorted)) % 0.33/0.57 (define @t2 () (@var "X3" $$unsorted)) % 0.33/0.57 (define @t3 () (@var "X2" $$unsorted)) % 0.33/0.57 (define @t4 () (tptp.big_f @t3 @t2 @t1)) % 0.33/0.57 (define @t5 () (@var "X1" $$unsorted)) % 0.33/0.57 (define @t6 () (tptp.big_f @t5 @t3 @t2)) % 0.33/0.57 (define @t7 () (@list @t1)) % 0.33/0.57 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.33/0.57 (define @t9 () (@list @t2)) % 0.33/0.57 (define @t10 () (exists @t9 @t8)) % 0.33/0.57 (define @t11 () (@list @t3)) % 0.33/0.57 (define @t12 () (forall @t11 @t10)) % 0.33/0.57 (define @t13 () (@list @t5)) % 0.33/0.57 (define @t14 () (exists @t13 @t12)) % 0.33/0.57 (define @t15 () (not @t14)) % 0.33/0.57 (define @t16 () (@var "BOUND_VARIABLE_7442" $$unsorted)) % 0.33/0.57 (define @t17 () (@list @t16)) % 0.33/0.57 (define @t18 () (forall @t17 (not (forall @t7 (tptp.big_f @t3 @t16 @t1))))) % 0.33/0.57 (define @t19 () (not @t18)) % 0.33/0.57 (define @t20 () (@var "BOUND_VARIABLE_7437" $$unsorted)) % 0.33/0.57 (define @t21 () (@list @t20)) % 0.33/0.57 (define @t22 () (forall @t21 (tptp.big_f @t5 @t3 @t20))) % 0.33/0.57 (define @t23 () (forall @t11 (or (not @t22) @t19))) % 0.33/0.57 (define @t24 () (forall @t13 (not @t23))) % 0.33/0.57 (define @t25 () (forall @t7 @t4)) % 0.33/0.57 (define @t26 () (not @t25)) % 0.33/0.57 (define @t27 () (forall @t9 @t26)) % 0.33/0.57 (define @t28 () (@list @t2)) % 0.33/0.57 (define @t29 () (forall @t9 @t6)) % 0.33/0.57 (define @t30 () (@list @t20)) % 0.33/0.57 (define @t31 () (and @t29 @t27)) % 0.33/0.57 (define @t32 () (not @t6)) % 0.33/0.57 (define @t33 () (or @t32 @t25)) % 0.33/0.57 (define @t34 () (forall @t9 (not @t33))) % 0.33/0.57 (define @t35 () (not @t34)) % 0.33/0.57 (define @t36 () (@const 0 $$unsorted)) % 0.33/0.57 (define @t37 () (@quantifiers_skolemize (forall @t11 (or (not (forall @t21 (tptp.big_f @t36 @t3 @t20))) @t19)) 0)) % 0.33/0.57 (define @t38 () (forall @t17 (not (forall @t7 (tptp.big_f @t37 @t16 @t1))))) % 0.33/0.57 (define @t39 () (not @t38)) % 0.33/0.57 (define @t40 () (or (not (forall @t21 (tptp.big_f @t36 @t37 @t20))) @t39)) % 0.33/0.57 (define @t41 () (@list true)) % 0.33/0.57 (define @t42 () (@quantifiers_skolemize (forall @t11 (or (not (forall @t21 (tptp.big_f @t37 @t3 @t20))) @t19)) 0)) % 0.33/0.57 (define @t43 () (forall @t21 (tptp.big_f @t37 @t42 @t20))) % 0.33/0.57 (define @t44 () (not @t43)) % 0.33/0.57 (define @t45 () (or @t44 (not (forall @t17 (not (forall @t7 (tptp.big_f @t42 @t16 @t1))))))) % 0.33/0.57 (define @t46 () (forall @t7 (tptp.big_f @t37 @t42 @t1))) % 0.33/0.57 (assume @p1 @t15) % 0.33/0.57 (assume @p2 true) % 0.33/0.57 (step @p3 :rule bool-double-not-elim :args (@t24)) % 0.33/0.57 (step @p4 :rule exists-elim :args ((= (exists @t13 @t23) (not @t24)))) % 0.33/0.57 (step @p5 :rule bool-and-de-morgan :args (@t22 @t18 true)) % 0.33/0.57 (step @p6 :rule cong :premises (@p5) :args ((forall @t11 (not (and @t22 @t18))))) % 0.33/0.57 (step @p7 :rule alpha_equiv :args (@t27 @t28 (@list @t16))) % 0.33/0.57 (step @p8 :rule alpha_equiv :args (@t29 @t28 @t30)) % 0.33/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t31)) % 0.33/0.57 (step @p10 :rule quant-miniscope-and :args ((= (forall @t9 (and @t6 @t26)) @t31))) % 0.33/0.57 (step @p11 :rule trans :premises (@p10 @p9)) % 0.33/0.57 (step @p12 :rule refl :args (@t26)) % 0.33/0.57 (step @p13 :rule bool-double-not-elim :args (@t6)) % 0.33/0.57 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((and (not @t32) @t26))) % 0.33/0.57 (step @p15 :rule bool-or-de-morgan :args (@t32 @t25 false)) % 0.33/0.57 (step @p16 :rule trans :premises (@p15 @p14)) % 0.33/0.57 (step @p17 :rule cong :premises (@p16) :args (@t34)) % 0.33/0.57 (step @p18 :rule trans :premises (@p17 @p11)) % 0.33/0.57 (step @p19 :rule cong :premises (@p18) :args (@t35)) % 0.33/0.57 (step @p20 :rule exists-elim :args ((= (exists @t9 @t33) @t35))) % 0.33/0.57 (step @p21 :rule trans :premises (@p20 @p19)) % 0.33/0.57 (step @p22 :rule quant-miniscope-or :args ((= (forall @t7 (or @t32 @t4)) @t33))) % 0.33/0.57 (step @p23 :rule bool-impl-elim :args (@t6 @t4)) % 0.33/0.57 (step @p24 :rule cong :premises (@p23) :args (@t8)) % 0.33/0.57 (step @p25 :rule trans :premises (@p24 @p22)) % 0.33/0.57 (step @p26 :rule cong :premises (@p25) :args (@t10)) % 0.33/0.57 (step @p27 :rule trans :premises (@p26 @p21)) % 0.33/0.57 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 0.33/0.57 (step @p29 :rule trans :premises (@p28 @p6)) % 0.33/0.57 (step @p30 :rule cong :premises (@p29) :args (@t14)) % 0.33/0.57 (step @p31 :rule trans :premises (@p30 @p4)) % 0.33/0.57 (step @p32 :rule cong :premises (@p31) :args (@t15)) % 0.33/0.57 (step @p33 :rule trans :premises (@p32 @p3)) % 0.33/0.57 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.33/0.57 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t36))) % 0.40/0.57 (step @p36 :rule skolemize :premises (@p35)) % 0.40/0.57 (step @p37 :rule bool-double-not-elim :args (@t38)) % 0.40/0.57 (step @p38 :rule refl :args (@t40)) % 0.40/0.57 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t40 (not @t39)))) % 0.40/0.57 (step @p40 :rule cnf_or_neg :args (@t40 1)) % 0.40/0.57 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.40/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t38 @t40))) % 0.40/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t38 @t41 (@list @t40))) % 0.40/0.57 (step @p44 :rule instantiate :premises (@p34) :args ((@list @t37))) % 0.40/0.57 (step @p45 :rule skolemize :premises (@p44)) % 0.40/0.57 (step @p46 :rule bool-double-not-elim :args (@t43)) % 0.40/0.57 (step @p47 :rule refl :args (@t45)) % 0.40/0.57 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t45 (not @t44)))) % 0.40/0.57 (step @p49 :rule cnf_or_neg :args (@t45 0)) % 0.40/0.57 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.40/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t43 @t45))) % 0.40/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p45) :args (@t43 @t41 (@list @t45))) % 0.40/0.57 (step @p53 :rule alpha_equiv :args (@t43 @t30 (@list @t1))) % 0.40/0.57 (step @p54 :rule equiv_elim1 :premises (@p53)) % 0.40/0.57 (step @p55 :rule chain_m_resolution :premises (@p54 @p52) :args (@t46 (@list false) (@list @t43))) % 0.40/0.57 (assume-push @p62 @t38) % 0.40/0.57 (step @p57 :rule instantiate :premises (@p43) :args ((@list @t42))) % 0.40/0.57 (step-pop @p63 :rule scope :premises (@p57)) % 0.40/0.57 (step @p58 :rule process_scope :premises (@p63) :args ((not @t46))) % 0.40/0.57 (step @p60 :rule implies_elim :premises (@p58)) % 0.40/0.57 (step @p61 false :rule chain_m_resolution :premises (@p60 @p55 @p43) :args (false (@list false false) (@list @t46 @t38))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------