%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL123-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:10:04 AM UTC 2026 % Result : Unsatisfiable 1.03s 1.28s % Output : Proof 1.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL123-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n009.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 20:26:29 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.03/1.28 % SZS status Unsatisfiable % 1.03/1.28 % SZS output start Proof % 1.03/1.28 ( % 1.03/1.28 (declare-sort $$unsorted 0) % 1.03/1.28 (declare-const tptp.v_xaa (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.v_x $$unsorted) % 1.03/1.28 (declare-const tptp.v_xb $$unsorted) % 1.03/1.28 (declare-const tptp.v_z $$unsorted) % 1.03/1.28 (declare-const tptp.v_xa (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.t_a $$unsorted) % 1.03/1.28 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.v_r $$unsorted) % 1.03/1.28 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.v_y $$unsorted) % 1.03/1.28 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (define @t1 () (@var "T_a" $$unsorted)) % 1.03/1.28 (define @t2 () (tptp.tc_prod @t1 @t1)) % 1.03/1.28 (define @t3 () (@var "V_r" $$unsorted)) % 1.03/1.28 (define @t4 () (tptp.c_Transitive__Closure_Ortrancl @t3 @t1)) % 1.03/1.28 (define @t5 () (@var "V_p" $$unsorted)) % 1.03/1.28 (define @t6 () (forall (@list @t5 @t3 @t1) (or (not (tptp.c_in @t5 @t3 @t2)) (tptp.c_in @t5 @t4 @t2)))) % 1.03/1.28 (define @t7 () (@var "V_c" $$unsorted)) % 1.03/1.28 (define @t8 () (@var "V_a" $$unsorted)) % 1.03/1.28 (define @t9 () (@var "V_b" $$unsorted)) % 1.03/1.28 (define @t10 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 1.03/1.28 (define @t11 () (tptp.c_in (tptp.c_Pair tptp.v_y tptp.v_z tptp.t_a tptp.t_a) tptp.v_r @t10)) % 1.03/1.28 (define @t12 () (tptp.c_in (tptp.c_Pair tptp.v_x tptp.v_xb tptp.t_a tptp.t_a) tptp.v_r @t10)) % 1.03/1.28 (define @t13 () (@var "V_U" $$unsorted)) % 1.03/1.28 (define @t14 () (not (tptp.c_in (tptp.c_Pair tptp.v_x @t13 tptp.t_a tptp.t_a) tptp.v_r @t10))) % 1.03/1.28 (define @t15 () (tptp.c_Transitive__Closure_Ortrancl tptp.v_r tptp.t_a)) % 1.03/1.28 (define @t16 () (tptp.v_xaa @t13)) % 1.03/1.28 (define @t17 () (@list @t13)) % 1.03/1.28 (define @t18 () (@var "V_V" $$unsorted)) % 1.03/1.28 (define @t19 () (not (tptp.c_in (tptp.c_Pair @t13 @t18 tptp.t_a tptp.t_a) tptp.v_r @t10))) % 1.03/1.28 (define @t20 () (@var "V_W" $$unsorted)) % 1.03/1.28 (define @t21 () (not (tptp.c_in (tptp.c_Pair @t13 @t20 tptp.t_a tptp.t_a) tptp.v_r @t10))) % 1.03/1.28 (define @t22 () (tptp.v_xa @t13 @t18 @t20)) % 1.03/1.28 (define @t23 () (tptp.v_xaa tptp.v_xb)) % 1.03/1.28 (define @t24 () (tptp.v_xa tptp.v_y tptp.v_z @t23)) % 1.03/1.28 (define @t25 () (@list tptp.v_xb)) % 1.03/1.28 (define @t26 () (not @t12)) % 1.03/1.28 (define @t27 () (tptp.c_in (tptp.c_Pair tptp.v_y @t23 tptp.t_a tptp.t_a) tptp.v_r @t10)) % 1.03/1.28 (define @t28 () (or @t27 @t26)) % 1.03/1.28 (define @t29 () (@list false false)) % 1.03/1.28 (define @t30 () (not @t11)) % 1.03/1.28 (define @t31 () (not @t27)) % 1.03/1.28 (define @t32 () (tptp.c_in (tptp.c_Pair tptp.v_z @t24 tptp.t_a tptp.t_a) tptp.v_r @t10)) % 1.03/1.28 (define @t33 () (or @t32 @t31 @t30)) % 1.03/1.28 (define @t34 () (@list false false false)) % 1.03/1.28 (define @t35 () (tptp.c_in (tptp.c_Pair tptp.v_xb @t24 tptp.t_a tptp.t_a) @t15 @t10)) % 1.03/1.28 (define @t36 () (not @t35)) % 1.03/1.28 (define @t37 () (not @t32)) % 1.03/1.28 (define @t38 () (or @t37 @t36)) % 1.03/1.28 (define @t39 () (tptp.c_in (tptp.c_Pair tptp.v_xb @t23 tptp.t_a tptp.t_a) @t15 @t10)) % 1.03/1.28 (define @t40 () (or @t39 @t26)) % 1.03/1.28 (define @t41 () (not @t39)) % 1.03/1.28 (define @t42 () (tptp.c_Pair @t23 @t24 tptp.t_a tptp.t_a)) % 1.03/1.28 (define @t43 () (tptp.c_in @t42 @t15 @t10)) % 1.03/1.28 (define @t44 () (not @t43)) % 1.03/1.28 (define @t45 () (or @t44 @t41 @t35)) % 1.03/1.28 (define @t46 () (tptp.c_in @t42 tptp.v_r @t10)) % 1.03/1.28 (define @t47 () (or @t46 @t31 @t30)) % 1.03/1.28 (define @t48 () (not @t46)) % 1.03/1.28 (define @t49 () (or @t48 @t43)) % 1.03/1.28 (define @t50 () (not @t49)) % 1.03/1.28 (assume @p1 @t6) % 1.03/1.28 (assume @p2 (forall (@list @t9 @t7 @t1 @t3 @t8) (or (not (tptp.c_in (tptp.c_Pair @t9 @t7 @t1 @t1) @t4 @t2)) (not (tptp.c_in (tptp.c_Pair @t8 @t9 @t1 @t1) @t4 @t2)) (tptp.c_in (tptp.c_Pair @t8 @t7 @t1 @t1) @t4 @t2)))) % 1.03/1.28 (assume @p3 @t11) % 1.03/1.28 (assume @p4 @t12) % 1.03/1.28 (assume @p5 (forall @t17 (or (tptp.c_in (tptp.c_Pair @t13 @t16 tptp.t_a tptp.t_a) @t15 @t10) @t14))) % 1.03/1.28 (assume @p6 (forall @t17 (or (tptp.c_in (tptp.c_Pair tptp.v_y @t16 tptp.t_a tptp.t_a) tptp.v_r @t10) @t14))) % 1.03/1.28 (assume @p7 (forall @t17 (or (not (tptp.c_in (tptp.c_Pair tptp.v_z @t13 tptp.t_a tptp.t_a) tptp.v_r @t10)) (not (tptp.c_in (tptp.c_Pair tptp.v_xb @t13 tptp.t_a tptp.t_a) @t15 @t10))))) % 1.03/1.28 (assume @p8 (forall (@list @t18 @t13 @t20) (or (tptp.c_in (tptp.c_Pair @t18 @t22 tptp.t_a tptp.t_a) tptp.v_r @t10) @t21 @t19))) % 1.03/1.28 (assume @p9 (forall (@list @t20 @t13 @t18) (or (tptp.c_in (tptp.c_Pair @t20 @t22 tptp.t_a tptp.t_a) tptp.v_r @t10) @t21 @t19))) % 1.03/1.28 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t23 @t24 tptp.t_a tptp.v_r tptp.v_xb))) % 1.03/1.28 (step @p11 :rule instantiate :premises (@p7) :args ((@list @t24))) % 1.03/1.28 (step @p12 :rule instantiate :premises (@p8) :args ((@list tptp.v_z tptp.v_y @t23))) % 1.03/1.28 (step @p13 :rule instantiate :premises (@p6) :args (@t25)) % 1.03/1.28 (step @p14 :rule cnf_or_pos :args (@t28)) % 1.03/1.28 (step @p15 :rule reordering :premises (@p14) :args ((or @t26 @t27 (not @t28)))) % 1.03/1.28 (step @p16 :rule chain_m_resolution :premises (@p15 @p4 @p13) :args (@t27 @t29 (@list @t12 @t28))) % 1.03/1.28 (step @p17 :rule cnf_or_pos :args (@t33)) % 1.03/1.28 (step @p18 :rule reordering :premises (@p17) :args ((or @t30 @t31 @t32 (not @t33)))) % 1.03/1.28 (step @p19 :rule chain_m_resolution :premises (@p18 @p3 @p16 @p12) :args (@t32 @t34 (@list @t11 @t27 @t33))) % 1.03/1.28 (step @p20 :rule cnf_or_pos :args (@t38)) % 1.03/1.28 (step @p21 :rule reordering :premises (@p20) :args ((or @t37 @t36 (not @t38)))) % 1.03/1.28 (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p11) :args (@t36 @t29 (@list @t32 @t38))) % 1.03/1.28 (step @p23 :rule instantiate :premises (@p5) :args (@t25)) % 1.03/1.28 (step @p24 :rule cnf_or_pos :args (@t40)) % 1.03/1.28 (step @p25 :rule reordering :premises (@p24) :args ((or @t26 @t39 (not @t40)))) % 1.03/1.28 (step @p26 :rule chain_m_resolution :premises (@p25 @p4 @p23) :args (@t39 @t29 (@list @t12 @t40))) % 1.03/1.28 (step @p27 :rule cnf_or_pos :args (@t45)) % 1.03/1.28 (step @p28 :rule reordering :premises (@p27) :args ((or @t41 @t35 @t44 (not @t45)))) % 1.03/1.28 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p22 @p10) :args (@t44 (@list false true false) (@list @t39 @t35 @t45))) % 1.03/1.28 (step @p30 :rule instantiate :premises (@p9) :args ((@list @t23 tptp.v_y tptp.v_z))) % 1.03/1.28 (step @p31 :rule cnf_or_pos :args (@t47)) % 1.03/1.28 (step @p32 :rule reordering :premises (@p31) :args ((or @t30 @t31 @t46 (not @t47)))) % 1.03/1.28 (step @p33 :rule chain_m_resolution :premises (@p32 @p3 @p16 @p30) :args (@t46 @t34 (@list @t11 @t27 @t47))) % 1.03/1.28 (step @p34 :rule cnf_or_pos :args (@t49)) % 1.03/1.28 (step @p35 :rule reordering :premises (@p34) :args ((or @t48 @t43 @t50))) % 1.03/1.28 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p29) :args (@t50 (@list false true) (@list @t46 @t43))) % 1.03/1.28 (assume-push @p43 @t6) % 1.03/1.28 (step @p38 :rule instantiate :premises (@p1) :args ((@list @t42 tptp.v_r tptp.t_a))) % 1.03/1.28 (step-pop @p44 :rule scope :premises (@p38)) % 1.03/1.28 (step @p39 :rule process_scope :premises (@p44) :args (@t49)) % 1.03/1.28 (step @p41 :rule implies_elim :premises (@p39)) % 1.03/1.28 (step @p42 false :rule chain_m_resolution :premises (@p41 @p36 @p1) :args (false (@list true false) (@list @t49 @t6))) % 1.03/1.28 ) % 1.03/1.29 % SZS output end Proof % 1.03/1.29 % cvc5 exiting %------------------------------------------------------------------------------