%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:35 AM UTC 2026 % Result : Theorem 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n026.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 16:36:41 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.18/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/0.50 % SZS status Theorem % 0.18/0.50 % SZS output start Proof % 0.18/0.50 ( % 0.18/0.50 (declare-sort $$unsorted 0) % 0.18/0.50 (declare-const tptp.p201 (-> $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.p101 (-> $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (define @t1 () (@var "X" $$unsorted)) % 0.18/0.50 (define @t2 () (@list @t1)) % 0.18/0.50 (define @t3 () (@var "Z" $$unsorted)) % 0.18/0.50 (define @t4 () (@var "Y" $$unsorted)) % 0.18/0.50 (define @t5 () (tptp.r1 @t1 @t4)) % 0.18/0.50 (define @t6 () (tptp.p101 @t1)) % 0.18/0.50 (define @t7 () (tptp.p201 @t1)) % 0.18/0.50 (define @t8 () (not (and @t7 @t6))) % 0.18/0.50 (define @t9 () (not (tptp.r1 @t4 @t1))) % 0.18/0.50 (define @t10 () (or @t9 @t8)) % 0.18/0.50 (define @t11 () (forall @t2 @t10)) % 0.18/0.50 (define @t12 () (not @t5)) % 0.18/0.50 (define @t13 () (or @t12 @t11)) % 0.18/0.50 (define @t14 () (@list @t4)) % 0.18/0.50 (define @t15 () (forall @t14 @t13)) % 0.18/0.50 (define @t16 () (not @t15)) % 0.18/0.50 (define @t17 () (or @t16 @t8)) % 0.18/0.50 (define @t18 () (not @t17)) % 0.18/0.50 (define @t19 () (exists @t2 @t18)) % 0.18/0.50 (define @t20 () (not @t6)) % 0.18/0.50 (define @t21 () (not @t7)) % 0.18/0.50 (define @t22 () (@var "BOUND_VARIABLE_7456" $$unsorted)) % 0.18/0.50 (define @t23 () (not (tptp.p101 @t22))) % 0.18/0.50 (define @t24 () (not (tptp.p201 @t22))) % 0.18/0.50 (define @t25 () (not (tptp.r1 @t4 @t22))) % 0.18/0.50 (define @t26 () (or @t12 @t25 @t24 @t23)) % 0.18/0.50 (define @t27 () (@list @t4 @t22)) % 0.18/0.50 (define @t28 () (not (forall @t27 @t26))) % 0.18/0.50 (define @t29 () (or @t28 @t21 @t20)) % 0.18/0.50 (define @t30 () (or @t21 @t20)) % 0.18/0.50 (define @t31 () (or @t28 @t8)) % 0.18/0.50 (define @t32 () (not @t31)) % 0.18/0.50 (define @t33 () (forall @t2 (not @t32))) % 0.18/0.50 (define @t34 () (not @t33)) % 0.18/0.50 (define @t35 () (or @t25 @t24 @t23)) % 0.18/0.50 (define @t36 () (or @t12 @t35)) % 0.18/0.50 (define @t37 () (forall @t27 @t36)) % 0.18/0.50 (define @t38 () (@list @t22)) % 0.18/0.50 (define @t39 () (forall @t38 @t36)) % 0.18/0.50 (define @t40 () (forall @t38 @t35)) % 0.18/0.50 (define @t41 () (or @t12 @t40)) % 0.18/0.50 (define @t42 () (or @t9 @t21 @t20)) % 0.18/0.50 (define @t43 () (@quantifiers_skolemize (forall @t2 @t29) 0)) % 0.18/0.50 (define @t44 () (tptp.p201 @t43)) % 0.18/0.50 (define @t45 () (tptp.p101 @t43)) % 0.18/0.50 (define @t46 () (not @t45)) % 0.18/0.50 (define @t47 () (not @t44)) % 0.18/0.50 (define @t48 () (forall @t27 (or (not (tptp.r1 @t43 @t4)) @t25 @t24 @t23))) % 0.18/0.50 (define @t49 () (not @t48)) % 0.18/0.50 (define @t50 () (or @t49 @t47 @t46)) % 0.18/0.50 (define @t51 () (@list true)) % 0.18/0.50 (define @t52 () (@list @t50)) % 0.18/0.50 (define @t53 () (tptp.r1 @t43 @t43)) % 0.18/0.50 (define @t54 () (not @t53)) % 0.18/0.50 (define @t55 () (or @t54 @t54 @t47 @t46)) % 0.18/0.50 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 0.18/0.50 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and @t5 (tptp.r1 @t4 @t3)) (tptp.r1 @t1 @t3)))) % 0.18/0.50 (assume @p3 (not (not @t19))) % 0.18/0.50 (assume @p4 true) % 0.18/0.50 (step @p5 :rule aci_norm :args ((= (or @t28 @t30) @t29))) % 0.18/0.50 (step @p6 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.18/0.50 (step @p7 :rule refl :args (@t28)) % 0.18/0.50 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t31)) % 0.18/0.50 (step @p9 :rule trans :premises (@p8 @p5)) % 0.18/0.50 (step @p10 :rule cong :premises (@p9) :args ((forall @t2 @t31))) % 0.18/0.50 (step @p11 :rule bool-double-not-elim :args (@t31)) % 0.18/0.50 (step @p12 :rule cong :premises (@p11) :args (@t33)) % 0.18/0.50 (step @p13 :rule trans :premises (@p12 @p10)) % 0.18/0.50 (step @p14 :rule cong :premises (@p13) :args (@t34)) % 0.18/0.50 (step @p15 :rule exists-elim :args ((= (exists @t2 @t32) @t34))) % 0.18/0.50 (step @p16 :rule trans :premises (@p15 @p14)) % 0.18/0.50 (step @p17 :rule refl :args (@t8)) % 0.18/0.50 (step @p18 :rule aci_norm :args ((= @t36 @t26))) % 0.18/0.50 (step @p19 :rule cong :premises (@p18) :args (@t37)) % 0.18/0.50 (step @p20 :rule quant-merge-prenex :args ((= (forall @t14 @t39) @t37))) % 0.18/0.50 (step @p21 :rule alpha_equiv :args (@t40 (@list @t22) (@list @t1))) % 0.18/0.50 (step @p22 :rule refl :args (@t12)) % 0.18/0.50 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t41)) % 0.18/0.50 (step @p24 :rule quant-miniscope-or :args ((= @t39 @t41))) % 0.18/0.50 (step @p25 :rule trans :premises (@p24 @p23)) % 0.18/0.50 (step @p26 :rule symm :premises (@p25)) % 0.18/0.50 (step @p27 :rule cong :premises (@p26) :args ((forall @t14 (or @t12 (forall @t2 @t42))))) % 0.18/0.50 (step @p28 :rule trans :premises (@p27 @p20)) % 0.18/0.50 (step @p29 :rule trans :premises (@p28 @p19)) % 0.18/0.50 (step @p30 :rule aci_norm :args ((= (or @t9 @t30) @t42))) % 0.18/0.50 (step @p31 :rule refl :args (@t9)) % 0.18/0.50 (step @p32 :rule nary_cong :premises (@p31 @p6) :args (@t10)) % 0.18/0.50 (step @p33 :rule trans :premises (@p32 @p30)) % 0.18/0.50 (step @p34 :rule cong :premises (@p33) :args (@t11)) % 0.18/0.50 (step @p35 :rule refl :args (@t12)) % 0.18/0.50 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t13)) % 0.18/0.50 (step @p37 :rule cong :premises (@p36) :args (@t15)) % 0.18/0.50 (step @p38 :rule trans :premises (@p37 @p29)) % 0.18/0.50 (step @p39 :rule cong :premises (@p38) :args (@t16)) % 0.18/0.50 (step @p40 :rule nary_cong :premises (@p39 @p17) :args (@t17)) % 0.18/0.50 (step @p41 :rule cong :premises (@p40) :args (@t18)) % 0.18/0.50 (step @p42 :rule cong :premises (@p41) :args (@t19)) % 0.18/0.50 (step @p43 :rule trans :premises (@p42 @p16)) % 0.18/0.50 (step @p44 :rule bool-double-not-elim :args (@t19)) % 0.18/0.50 (step @p45 :rule trans :premises (@p44 @p43)) % 0.18/0.50 (step @p46 :rule eq_resolve :premises (@p3 @p45)) % 0.18/0.50 (step @p47 :rule skolemize :premises (@p46)) % 0.18/0.50 (step @p48 :rule bool-double-not-elim :args (@t44)) % 0.18/0.50 (step @p49 :rule refl :args (@t50)) % 0.18/0.50 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t50 (not @t47)))) % 0.18/0.50 (step @p51 :rule cnf_or_neg :args (@t50 1)) % 0.18/0.50 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.18/0.50 (step @p53 :rule reordering :premises (@p52) :args ((or @t44 @t50))) % 0.18/0.50 (step @p54 :rule chain_m_resolution :premises (@p53 @p47) :args (@t44 @t51 @t52)) % 0.18/0.50 (step @p55 :rule bool-double-not-elim :args (@t45)) % 0.18/0.50 (step @p56 :rule nary_cong :premises (@p49 @p55) :args ((or @t50 (not @t46)))) % 0.18/0.50 (step @p57 :rule cnf_or_neg :args (@t50 2)) % 0.18/0.50 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.18/0.50 (step @p59 :rule reordering :premises (@p58) :args ((or @t45 @t50))) % 0.18/0.50 (step @p60 :rule chain_m_resolution :premises (@p59 @p47) :args (@t45 @t51 @t52)) % 0.18/0.50 (step @p61 :rule instantiate :premises (@p1) :args ((@list @t43))) % 0.18/0.50 (step @p62 :rule bool-double-not-elim :args (@t48)) % 0.18/0.50 (step @p63 :rule nary_cong :premises (@p49 @p62) :args ((or @t50 (not @t49)))) % 0.18/0.50 (step @p64 :rule cnf_or_neg :args (@t50 0)) % 0.18/0.50 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.18/0.50 (step @p66 :rule reordering :premises (@p65) :args ((or @t48 @t50))) % 0.18/0.50 (step @p67 :rule chain_m_resolution :premises (@p66 @p47) :args (@t48 @t51 @t52)) % 0.18/0.50 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t43 @t43))) % 0.18/0.50 (step @p69 :rule cnf_or_pos :args (@t55)) % 0.18/0.50 (step @p70 :rule factoring :premises (@p69)) % 0.18/0.50 (step @p71 :rule reordering :premises (@p70) :args ((or @t47 @t46 @t54 (not @t55)))) % 0.18/0.50 (step @p72 false :rule chain_m_resolution :premises (@p71 @p68 @p61 @p60 @p54) :args (false (@list false false false false) (@list @t55 @t53 @t45 @t44))) % 0.18/0.50 ) % 0.18/0.50 % SZS output end Proof % 0.18/0.50 % cvc5 exiting %------------------------------------------------------------------------------