%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 09:07:20 AM UTC 2026 % Result : Theorem 15.42s 15.66s % Output : Proof 15.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0. % 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 : n007.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 23:05:57 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.42/15.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.66 --- Run --no-e-matching --full-saturate-quant at 6... % 15.42/15.66 % SZS status Theorem % 15.42/15.66 % SZS output start Proof % 15.42/15.66 ( % 15.42/15.66 (declare-sort $$unsorted 0) % 15.42/15.66 (declare-const tptp.ord (-> $$unsorted Bool)) % 15.42/15.66 (declare-const tptp.merge (-> $$unsorted $$unsorted $$unsorted)) % 15.42/15.66 (declare-const tptp.leqNat (-> $$unsorted $$unsorted Bool)) % 15.42/15.66 (declare-const tptp.z $$unsorted) % 15.42/15.66 (declare-const tptp.proj1S (-> $$unsorted $$unsorted)) % 15.42/15.66 (declare-const tptp.nil $$unsorted) % 15.42/15.66 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 15.42/15.66 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 15.42/15.66 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 15.42/15.66 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 15.42/15.66 (define @t1 () (@var "X" $$unsorted)) % 15.42/15.66 (define @t2 () (@var "X2" $$unsorted)) % 15.42/15.66 (define @t3 () (tptp.cons @t1 @t2)) % 15.42/15.66 (define @t4 () (@list @t1 @t2)) % 15.42/15.66 (define @t5 () (tptp.s @t1)) % 15.42/15.66 (define @t6 () (@list @t1)) % 15.42/15.66 (define @t7 () (@var "Y" $$unsorted)) % 15.42/15.66 (define @t8 () (@list @t7)) % 15.42/15.66 (define @t9 () (@var "Z" $$unsorted)) % 15.42/15.66 (define @t10 () (tptp.s @t9)) % 15.42/15.66 (define @t11 () (@var "M" $$unsorted)) % 15.42/15.66 (define @t12 () (tptp.merge tptp.nil @t7)) % 15.42/15.66 (define @t13 () (forall @t8 (= @t12 @t7))) % 15.42/15.66 (define @t14 () (@var "Xs" $$unsorted)) % 15.42/15.66 (define @t15 () (tptp.cons @t9 @t14)) % 15.42/15.66 (define @t16 () (@var "Ys" $$unsorted)) % 15.42/15.66 (define @t17 () (@var "Y2" $$unsorted)) % 15.42/15.66 (define @t18 () (tptp.cons @t17 @t16)) % 15.42/15.66 (define @t19 () (tptp.merge @t15 @t18)) % 15.42/15.66 (define @t20 () (tptp.leqNat @t9 @t17)) % 15.42/15.66 (define @t21 () (@list @t9 @t14 @t17 @t16)) % 15.42/15.66 (define @t22 () (tptp.ord tptp.nil)) % 15.42/15.66 (define @t23 () (tptp.cons @t17 @t14)) % 15.42/15.66 (define @t24 () (tptp.ord (tptp.merge @t14 @t16))) % 15.42/15.66 (define @t25 () (tptp.ord @t16)) % 15.42/15.66 (define @t26 () (not @t25)) % 15.42/15.66 (define @t27 () (=> @t26 @t24)) % 15.42/15.66 (define @t28 () (tptp.ord @t14)) % 15.42/15.66 (define @t29 () (=> @t28 @t27)) % 15.42/15.66 (define @t30 () (not @t29)) % 15.42/15.66 (define @t31 () (@list @t14 @t16)) % 15.42/15.66 (define @t32 () (exists @t31 @t30)) % 15.42/15.66 (define @t33 () (not @t32)) % 15.42/15.66 (define @t34 () (tptp.s tptp.z)) % 15.42/15.66 (define @t35 () (tptp.cons tptp.z tptp.nil)) % 15.42/15.66 (define @t36 () (tptp.leqNat @t34 tptp.z)) % 15.42/15.66 (define @t37 () (and @t36 (tptp.ord @t35))) % 15.42/15.66 (define @t38 () (not @t37)) % 15.42/15.66 (define @t39 () (tptp.cons @t34 @t35)) % 15.42/15.66 (define @t40 () (tptp.ord @t39)) % 15.42/15.66 (define @t41 () (= @t40 @t37)) % 15.42/15.66 (define @t42 () (not @t40)) % 15.42/15.66 (define @t43 () (tptp.ord (tptp.merge tptp.nil @t39))) % 15.42/15.66 (define @t44 () (not @t28)) % 15.42/15.66 (define @t45 () (or @t44 @t25 @t24)) % 15.42/15.66 (define @t46 () (forall @t31 (not @t30))) % 15.42/15.66 (define @t47 () (not @t46)) % 15.42/15.66 (define @t48 () (not @t22)) % 15.42/15.66 (define @t49 () (or @t48 @t40 @t43)) % 15.42/15.66 (assume @p1 (forall @t4 (= (tptp.head @t3) @t1))) % 15.42/15.66 (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2))) % 15.42/15.66 (assume @p3 (forall @t4 (not (= tptp.nil @t3)))) % 15.42/15.66 (assume @p4 (forall @t6 (= (tptp.proj1S @t5) @t1))) % 15.42/15.66 (assume @p5 (forall @t6 (not (= tptp.z @t5)))) % 15.42/15.66 (assume @p6 (forall @t8 (tptp.leqNat tptp.z @t7))) % 15.42/15.66 (assume @p7 (forall (@list @t9) (not (tptp.leqNat @t10 tptp.z)))) % 15.42/15.66 (assume @p8 (forall (@list @t9 @t11) (= (tptp.leqNat @t10 (tptp.s @t11)) (tptp.leqNat @t9 @t11)))) % 15.42/15.66 (assume @p9 @t13) % 15.42/15.66 (assume @p10 (forall (@list @t9 @t14) (= (tptp.merge @t15 tptp.nil) @t15))) % 15.42/15.66 (assume @p11 (forall @t21 (=> @t20 (= @t19 (tptp.cons @t9 (tptp.merge @t14 @t18)))))) % 15.42/15.66 (assume @p12 (forall @t21 (=> (not @t20) (= @t19 (tptp.cons @t17 (tptp.merge @t15 @t16)))))) % 15.42/15.66 (assume @p13 @t22) % 15.42/15.66 (assume @p14 (forall @t8 (tptp.ord (tptp.cons @t7 tptp.nil)))) % 15.42/15.66 (assume @p15 (forall (@list @t7 @t17 @t14) (= (tptp.ord (tptp.cons @t7 @t23)) (and (tptp.leqNat @t7 @t17) (tptp.ord @t23))))) % 15.42/15.66 (assume @p16 @t33) % 15.42/15.66 (assume @p17 true) % 15.42/15.66 (step @p18 :rule evaluate :args ((= true false))) % 15.42/15.66 (step @p19 :rule instantiate :premises (@p15) :args ((@list @t34 tptp.z tptp.nil))) % 15.42/15.66 (step @p20 :rule instantiate :premises (@p7) :args ((@list tptp.z))) % 15.42/15.66 (step @p21 :rule cnf_and_pos :args (@t37 0)) % 15.42/15.66 (step @p22 :rule reordering :premises (@p21) :args ((or @t36 @t38))) % 15.42/15.66 (step @p23 :rule chain_m_resolution :premises (@p22 @p20) :args (@t38 (@list true) (@list @t36))) % 15.42/15.66 (step @p24 :rule cnf_equiv_pos1 :args (@t41)) % 15.42/15.66 (step @p25 :rule reordering :premises (@p24) :args ((or @t37 @t42 (not @t41)))) % 15.42/15.66 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p19) :args (@t42 (@list true false) (@list @t37 @t41))) % 15.42/15.66 (step @p27 :rule false_intro :premises (@p26)) % 15.42/15.66 (step @p28 :rule eq-symm :args (@t12 @t7)) % 15.42/15.66 (step @p29 :rule cong :premises (@p28) :args (@t13)) % 15.42/15.66 (step @p30 :rule eq_resolve :premises (@p9 @p29)) % 15.42/15.66 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t39))) % 15.42/15.66 (step @p32 :rule symm :premises (@p31)) % 15.42/15.66 (step @p33 :rule cong :premises (@p32) :args (@t43)) % 15.42/15.66 (step @p34 :rule bool-double-not-elim :args ((forall @t31 @t45))) % 15.42/15.66 (step @p35 :rule aci_norm :args ((= (or @t44 (or @t25 @t24)) @t45))) % 15.42/15.66 (step @p36 :rule refl :args (@t24)) % 15.42/15.66 (step @p37 :rule bool-double-not-elim :args (@t25)) % 15.42/15.66 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t26) @t24))) % 15.42/15.66 (step @p39 :rule bool-impl-elim :args (@t26 @t24)) % 15.42/15.66 (step @p40 :rule trans :premises (@p39 @p38)) % 15.42/15.66 (step @p41 :rule refl :args (@t44)) % 15.42/15.66 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t44 @t27))) % 15.42/15.66 (step @p43 :rule trans :premises (@p42 @p35)) % 15.42/15.66 (step @p44 :rule bool-impl-elim :args (@t28 @t27)) % 15.42/15.66 (step @p45 :rule trans :premises (@p44 @p43)) % 15.42/15.66 (step @p46 :rule cong :premises (@p45) :args ((forall @t31 @t29))) % 15.42/15.66 (step @p47 :rule bool-double-not-elim :args (@t29)) % 15.42/15.66 (step @p48 :rule cong :premises (@p47) :args (@t46)) % 15.42/15.66 (step @p49 :rule trans :premises (@p48 @p46)) % 15.42/15.66 (step @p50 :rule cong :premises (@p49) :args (@t47)) % 15.42/15.66 (step @p51 :rule exists-elim :args ((= @t32 @t47))) % 15.42/15.66 (step @p52 :rule trans :premises (@p51 @p50)) % 15.42/15.66 (step @p53 :rule cong :premises (@p52) :args (@t33)) % 15.42/15.66 (step @p54 :rule trans :premises (@p53 @p34)) % 15.42/15.66 (step @p55 :rule eq_resolve :premises (@p16 @p54)) % 15.42/15.66 (step @p56 :rule instantiate :premises (@p55) :args ((@list tptp.nil @t39))) % 15.42/15.66 (step @p57 :rule cnf_or_pos :args (@t49)) % 15.42/15.66 (step @p58 :rule reordering :premises (@p57) :args ((or @t48 @t40 @t43 (not @t49)))) % 15.42/15.66 (step @p59 :rule chain_m_resolution :premises (@p58 @p13 @p26 @p56) :args (@t43 (@list false true false) (@list @t22 @t40 @t49))) % 15.42/15.66 (step @p60 :rule true_intro :premises (@p59)) % 15.42/15.66 (step @p61 :rule symm :premises (@p60)) % 15.42/15.66 (step @p62 :rule trans :premises (@p61 @p33 @p27)) % 15.42/15.66 (step @p63 false :rule eq_resolve :premises (@p62 @p18)) % 15.42/15.66 ) % 15.42/15.66 % SZS output end Proof % 15.42/15.66 % cvc5 exiting %------------------------------------------------------------------------------