%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL121-2 : TPTP v9.2.1. 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 : n005.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 08:10:03 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL121-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n005.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 20:26:33 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.v_ya $$unsorted) % 0.38/0.57 (declare-const tptp.v_r $$unsorted) % 0.38/0.57 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.t_a $$unsorted) % 0.38/0.57 (declare-const tptp.c_Comb_Odiamond (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.v_y $$unsorted) % 0.38/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.v_z $$unsorted) % 0.38/0.57 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Comb_Odiamond__strip__lemmaE__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_xaa $$unsorted) % 0.38/0.57 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "T_a" $$unsorted)) % 0.38/0.57 (define @t2 () (tptp.tc_prod @t1 @t1)) % 0.38/0.57 (define @t3 () (@var "V_r" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.c_Transitive__Closure_Ortrancl @t3 @t1)) % 0.38/0.57 (define @t5 () (@var "V_y_H" $$unsorted)) % 0.38/0.57 (define @t6 () (@var "V_y" $$unsorted)) % 0.38/0.57 (define @t7 () (tptp.c_Comb_Odiamond__strip__lemmaE__1 @t3 @t6 @t5 @t1)) % 0.38/0.57 (define @t8 () (@var "V_x" $$unsorted)) % 0.38/0.57 (define @t9 () (not (tptp.c_in (tptp.c_Pair @t8 @t6 @t1 @t1) @t4 @t2))) % 0.38/0.57 (define @t10 () (not (tptp.c_in (tptp.c_Pair @t8 @t5 @t1 @t1) @t3 @t2))) % 0.38/0.57 (define @t11 () (not (tptp.c_Comb_Odiamond @t3 @t1))) % 0.38/0.57 (define @t12 () (@list @t3 @t1 @t8 @t5 @t6)) % 0.38/0.57 (define @t13 () (@var "V_p" $$unsorted)) % 0.38/0.57 (define @t14 () (@var "V_c" $$unsorted)) % 0.38/0.57 (define @t15 () (@var "V_a" $$unsorted)) % 0.38/0.57 (define @t16 () (@var "V_b" $$unsorted)) % 0.38/0.57 (define @t17 () (forall (@list @t16 @t14 @t1 @t3 @t15) (or (not (tptp.c_in (tptp.c_Pair @t16 @t14 @t1 @t1) @t4 @t2)) (not (tptp.c_in (tptp.c_Pair @t15 @t16 @t1 @t1) @t4 @t2)) (tptp.c_in (tptp.c_Pair @t15 @t14 @t1 @t1) @t4 @t2)))) % 0.38/0.57 (define @t18 () (tptp.c_Comb_Odiamond tptp.v_r tptp.t_a)) % 0.38/0.57 (define @t19 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.38/0.57 (define @t20 () (tptp.c_in (tptp.c_Pair tptp.v_ya tptp.v_z tptp.t_a tptp.t_a) tptp.v_r @t19)) % 0.38/0.57 (define @t21 () (tptp.c_Transitive__Closure_Ortrancl tptp.v_r tptp.t_a)) % 0.38/0.57 (define @t22 () (tptp.c_in (tptp.c_Pair tptp.v_y tptp.v_xaa tptp.t_a tptp.t_a) @t21 @t19)) % 0.38/0.57 (define @t23 () (@var "V_U" $$unsorted)) % 0.38/0.57 (define @t24 () (not (tptp.c_in (tptp.c_Pair tptp.v_y @t23 tptp.t_a tptp.t_a) @t21 @t19))) % 0.38/0.57 (define @t25 () (tptp.v_x @t23)) % 0.38/0.57 (define @t26 () (@list @t23)) % 0.38/0.57 (define @t27 () (tptp.v_x tptp.v_xaa)) % 0.38/0.57 (define @t28 () (tptp.c_Comb_Odiamond__strip__lemmaE__1 tptp.v_r @t27 tptp.v_z tptp.t_a)) % 0.38/0.57 (define @t29 () (tptp.c_Pair @t27 @t28 tptp.t_a tptp.t_a)) % 0.38/0.57 (define @t30 () (@list tptp.v_r tptp.t_a tptp.v_ya tptp.v_z @t27)) % 0.38/0.57 (define @t31 () (@list tptp.v_xaa)) % 0.38/0.57 (define @t32 () (not @t22)) % 0.38/0.57 (define @t33 () (tptp.c_in (tptp.c_Pair tptp.v_ya @t27 tptp.t_a tptp.t_a) @t21 @t19)) % 0.38/0.57 (define @t34 () (or @t33 @t32)) % 0.38/0.57 (define @t35 () (@list false false)) % 0.38/0.57 (define @t36 () (tptp.c_in @t29 tptp.v_r @t19)) % 0.38/0.57 (define @t37 () (not @t33)) % 0.38/0.57 (define @t38 () (not @t20)) % 0.38/0.57 (define @t39 () (not @t18)) % 0.38/0.57 (define @t40 () (or @t39 @t38 @t37 @t36)) % 0.38/0.57 (define @t41 () (@list false false false false)) % 0.38/0.57 (define @t42 () (tptp.c_in @t29 @t21 @t19)) % 0.38/0.57 (define @t43 () (not @t36)) % 0.38/0.57 (define @t44 () (or @t43 @t42)) % 0.38/0.57 (define @t45 () (tptp.c_in (tptp.c_Pair tptp.v_z @t28 tptp.t_a tptp.t_a) @t21 @t19)) % 0.38/0.57 (define @t46 () (or @t39 @t38 @t37 @t45)) % 0.38/0.57 (define @t47 () (not @t45)) % 0.38/0.57 (define @t48 () (tptp.c_in (tptp.c_Pair tptp.v_xaa @t28 tptp.t_a tptp.t_a) @t21 @t19)) % 0.38/0.57 (define @t49 () (not @t48)) % 0.38/0.57 (define @t50 () (or @t49 @t47)) % 0.38/0.57 (define @t51 () (tptp.c_in (tptp.c_Pair tptp.v_xaa @t27 tptp.t_a tptp.t_a) @t21 @t19)) % 0.38/0.57 (define @t52 () (or @t51 @t32)) % 0.38/0.57 (define @t53 () (not @t51)) % 0.38/0.57 (define @t54 () (not @t42)) % 0.38/0.57 (define @t55 () (or @t54 @t53 @t48)) % 0.38/0.57 (define @t56 () (not @t55)) % 0.38/0.57 (assume @p1 (forall @t12 (or @t11 @t10 @t9 (tptp.c_in (tptp.c_Pair @t5 @t7 @t1 @t1) @t4 @t2)))) % 0.38/0.57 (assume @p2 (forall @t12 (or @t11 @t10 @t9 (tptp.c_in (tptp.c_Pair @t6 @t7 @t1 @t1) @t3 @t2)))) % 0.38/0.57 (assume @p3 (forall (@list @t13 @t3 @t1) (or (not (tptp.c_in @t13 @t3 @t2)) (tptp.c_in @t13 @t4 @t2)))) % 0.38/0.57 (assume @p4 @t17) % 0.38/0.57 (assume @p5 @t18) % 0.38/0.57 (assume @p6 @t20) % 0.38/0.57 (assume @p7 @t22) % 0.38/0.57 (assume @p8 (forall @t26 (or (tptp.c_in (tptp.c_Pair tptp.v_ya @t25 tptp.t_a tptp.t_a) @t21 @t19) @t24))) % 0.38/0.57 (assume @p9 (forall @t26 (or (tptp.c_in (tptp.c_Pair @t23 @t25 tptp.t_a tptp.t_a) @t21 @t19) @t24))) % 0.38/0.57 (assume @p10 (forall @t26 (or (not (tptp.c_in (tptp.c_Pair tptp.v_xaa @t23 tptp.t_a tptp.t_a) @t21 @t19)) (not (tptp.c_in (tptp.c_Pair tptp.v_z @t23 tptp.t_a tptp.t_a) @t21 @t19))))) % 0.38/0.57 (step @p11 :rule instantiate :premises (@p3) :args ((@list @t29 tptp.v_r tptp.t_a))) % 0.38/0.57 (step @p12 :rule instantiate :premises (@p2) :args (@t30)) % 0.38/0.57 (step @p13 :rule instantiate :premises (@p8) :args (@t31)) % 0.38/0.57 (step @p14 :rule cnf_or_pos :args (@t34)) % 0.38/0.57 (step @p15 :rule reordering :premises (@p14) :args ((or @t32 @t33 (not @t34)))) % 0.38/0.57 (step @p16 :rule chain_m_resolution :premises (@p15 @p7 @p13) :args (@t33 @t35 (@list @t22 @t34))) % 0.38/0.57 (step @p17 :rule cnf_or_pos :args (@t40)) % 0.38/0.57 (step @p18 :rule reordering :premises (@p17) :args ((or @t39 @t38 @t37 @t36 (not @t40)))) % 0.38/0.57 (step @p19 :rule chain_m_resolution :premises (@p18 @p5 @p6 @p16 @p12) :args (@t36 @t41 (@list @t18 @t20 @t33 @t40))) % 0.38/0.57 (step @p20 :rule cnf_or_pos :args (@t44)) % 0.38/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t43 @t42 (not @t44)))) % 0.38/0.57 (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p11) :args (@t42 @t35 (@list @t36 @t44))) % 0.38/0.57 (step @p23 :rule instantiate :premises (@p10) :args ((@list @t28))) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p1) :args (@t30)) % 0.38/0.57 (step @p25 :rule cnf_or_pos :args (@t46)) % 0.38/0.57 (step @p26 :rule reordering :premises (@p25) :args ((or @t39 @t38 @t37 @t45 (not @t46)))) % 0.38/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p5 @p6 @p16 @p24) :args (@t45 @t41 (@list @t18 @t20 @t33 @t46))) % 0.38/0.57 (step @p28 :rule cnf_or_pos :args (@t50)) % 0.38/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t47 @t49 (not @t50)))) % 0.38/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p23) :args (@t49 @t35 (@list @t45 @t50))) % 0.38/0.57 (step @p31 :rule instantiate :premises (@p9) :args (@t31)) % 0.38/0.57 (step @p32 :rule cnf_or_pos :args (@t52)) % 0.38/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t32 @t51 (not @t52)))) % 0.38/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p7 @p31) :args (@t51 @t35 (@list @t22 @t52))) % 0.38/0.57 (step @p35 :rule cnf_or_pos :args (@t55)) % 0.38/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t53 @t48 @t54 @t56))) % 0.38/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30 @p22) :args (@t56 (@list false true false) (@list @t51 @t48 @t42))) % 0.38/0.57 (assume-push @p44 @t17) % 0.38/0.57 (step @p39 :rule instantiate :premises (@p4) :args ((@list @t27 @t28 tptp.t_a tptp.v_r tptp.v_xaa))) % 0.38/0.57 (step-pop @p45 :rule scope :premises (@p39)) % 0.38/0.57 (step @p40 :rule process_scope :premises (@p45) :args (@t55)) % 0.38/0.57 (step @p42 :rule implies_elim :premises (@p40)) % 0.38/0.57 (step @p43 false :rule chain_m_resolution :premises (@p42 @p37 @p4) :args (false (@list true false) (@list @t55 @t17))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------