%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 11:22:51 AM UTC 2026 % Result : Unsatisfiable 0.21s 0.48s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.36 % Computer : n020.cluster.edu % 0.12/0.36 % Model : x86_64 x86_64 % 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.36 % Memory : 8046.5625MB % 0.12/0.36 % OS : Linux 6.8.0-71-generic % 0.04/0.36 % CPULimit : 300 % 0.04/0.36 % WCLimit : 300 % 0.04/0.36 % DateTime : Fri Sep 4 17:24:27 UTC 2026 % 0.04/0.36 % CPUTime : % 0.04/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.04/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.48 % SZS status Unsatisfiable % 0.21/0.48 % SZS output start Proof % 0.21/0.48 ( % 0.21/0.48 (declare-sort $$unsorted 0) % 0.21/0.48 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.21/0.48 (declare-const tptp.c_PropLog_Ohyps (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.21/0.48 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.21/0.48 (declare-const tptp.tc_PropLog_Opl (-> $$unsorted $$unsorted)) % 0.21/0.48 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.48 (declare-const tptp.c_PropLog_Osat (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.48 (declare-const tptp.c_emptyset $$unsorted) % 0.21/0.48 (declare-const tptp.c_PropLog_Othms (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.48 (declare-const tptp.v_p $$unsorted) % 0.21/0.48 (declare-const tptp.t_a $$unsorted) % 0.21/0.48 (define @t1 () (tptp.c_PropLog_Osat tptp.c_emptyset tptp.v_p tptp.t_a)) % 0.21/0.48 (define @t2 () (tptp.tc_PropLog_Opl tptp.t_a)) % 0.21/0.48 (define @t3 () (tptp.c_PropLog_Othms tptp.c_emptyset tptp.t_a)) % 0.21/0.48 (define @t4 () (tptp.c_in tptp.v_p @t3 @t2)) % 0.21/0.48 (define @t5 () (@var "T_a" $$unsorted)) % 0.21/0.48 (define @t6 () (tptp.tc_PropLog_Opl @t5)) % 0.21/0.48 (define @t7 () (@var "V_t0" $$unsorted)) % 0.21/0.48 (define @t8 () (@var "V_p" $$unsorted)) % 0.21/0.48 (define @t9 () (@var "V_U" $$unsorted)) % 0.21/0.48 (define @t10 () (@var "V_A" $$unsorted)) % 0.21/0.48 (define @t11 () (tptp.c_minus @t10 @t10 (tptp.tc_set @t5))) % 0.21/0.48 (define @t12 () (forall (@list @t10 @t5) (= @t11 tptp.c_emptyset))) % 0.21/0.48 (define @t13 () (tptp.c_PropLog_Ohyps tptp.v_p tptp.t_a tptp.t_a)) % 0.21/0.48 (define @t14 () (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus @t13 @t13 (tptp.tc_set @t2)) tptp.t_a) @t2)) % 0.21/0.48 (define @t15 () (not @t1)) % 0.21/0.48 (define @t16 () (or @t15 @t14)) % 0.21/0.48 (assume @p1 @t1) % 0.21/0.48 (assume @p2 (not @t4)) % 0.21/0.48 (assume @p3 (forall (@list @t8 @t5 @t9 @t7) (or (not (tptp.c_PropLog_Osat tptp.c_emptyset @t8 @t5)) (tptp.c_in @t8 (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps @t8 @t9 @t5) (tptp.c_PropLog_Ohyps @t8 @t7 @t5) (tptp.tc_set @t6)) @t5) @t6)))) % 0.21/0.48 (assume @p4 @t12) % 0.21/0.48 (step @p5 :rule evaluate :args ((= false true))) % 0.21/0.48 (step @p6 :rule instantiate :premises (@p3) :args ((@list tptp.v_p tptp.t_a tptp.t_a tptp.t_a))) % 0.21/0.48 (step @p7 :rule cnf_or_pos :args (@t16)) % 0.21/0.48 (step @p8 :rule reordering :premises (@p7) :args ((or @t15 @t14 (not @t16)))) % 0.21/0.48 (step @p9 :rule chain_m_resolution :premises (@p8 @p1 @p6) :args (@t14 (@list false false) (@list @t1 @t16))) % 0.21/0.48 (step @p10 :rule true_intro :premises (@p9)) % 0.21/0.48 (step @p11 :rule refl :args (@t2)) % 0.21/0.48 (step @p12 :rule refl :args (tptp.t_a)) % 0.21/0.48 (step @p13 :rule eq-symm :args (@t11 tptp.c_emptyset)) % 0.21/0.48 (step @p14 :rule cong :premises (@p13) :args (@t12)) % 0.21/0.48 (step @p15 :rule eq_resolve :premises (@p4 @p14)) % 0.21/0.48 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t13 @t2))) % 0.21/0.48 (step @p17 :rule cong :premises (@p16 @p12) :args (@t3)) % 0.21/0.48 (step @p18 :rule refl :args (tptp.v_p)) % 0.21/0.48 (step @p19 :rule cong :premises (@p18 @p17 @p11) :args (@t4)) % 0.21/0.48 (step @p20 :rule false_intro :premises (@p2)) % 0.21/0.48 (step @p21 :rule symm :premises (@p20)) % 0.21/0.48 (step @p22 :rule trans :premises (@p21 @p19 @p10)) % 0.21/0.48 (step @p23 false :rule eq_resolve :premises (@p22 @p5)) % 0.21/0.48 ) % 0.21/0.48 % SZS output end Proof % 0.21/0.48 % cvc5 exiting %------------------------------------------------------------------------------