%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW288+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 : Fri Sep 25 03:29:27 PM UTC 2026
% Result : Theorem 16.56s 3.39s
% Output : CNFRefutation 16.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 19 unt; 0 def)
% Number of atoms : 65 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 22 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ( class_Rings_Oidom(t_a)
& class_Int_Oring__char__0(t_a) )
=> hAPP(c_Polynomial_Opoly(t_a,v_p),X0) = hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_Bx_O_Apoly_Ap_Ax_A_061_Apoly_Ap_A_I0_058_058_Ha_J_096) ).
fof(f14,axiom,
( ( class_Rings_Oidom(t_a)
& class_Int_Oring__char__0(t_a) )
=> v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096p_A_061_A_091_058poly_Ap_A_I0_058_058_Ha_J_058_093_096) ).
fof(f32,axiom,
! [X0,X1] :
( class_Groups_Ozero(X1)
=> c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__pCons__0) ).
fof(f1012,axiom,
! [X0] :
( class_Int_Oring__char__0(X0)
=> class_Groups_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clrel_Int_Oring__char__0__Groups_Ozero) ).
fof(f1216,conjecture,
c_Polynomial_Odegree(t_a,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1217,negated_conjecture,
c_Polynomial_Odegree(t_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(negated_conjecture,[status(cth)],[f1216]) ).
fof(f1218,axiom,
class_Int_Oring__char__0(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0) ).
fof(f1219,axiom,
class_Rings_Oidom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_1) ).
fof(f1220,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Polynomial_Odegree(t_a,v_p),
inference(flattening,[],[f1217]) ).
fof(f1250,plain,
( ~ class_Rings_Oidom(t_a)
| ~ class_Int_Oring__char__0(t_a)
| v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) ),
inference(ennf_transformation,[],[f14]) ).
fof(f1251,plain,
( ~ class_Rings_Oidom(t_a)
| ~ class_Int_Oring__char__0(t_a)
| v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) ),
inference(flattening,[],[f1250]) ).
fof(f1254,plain,
! [X0] :
( ~ class_Rings_Oidom(t_a)
| ~ class_Int_Oring__char__0(t_a)
| hAPP(c_Polynomial_Opoly(t_a,v_p),X0) = hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f1255,plain,
! [X0] :
( ~ class_Rings_Oidom(t_a)
| ~ class_Int_Oring__char__0(t_a)
| hAPP(c_Polynomial_Opoly(t_a,v_p),X0) = hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)) ),
inference(flattening,[],[f1254]) ).
fof(f1280,plain,
! [X0,X1] :
( ~ class_Groups_Ozero(X1)
| c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(ennf_transformation,[],[f32]) ).
fof(f1325,plain,
! [X0] :
( ~ class_Int_Oring__char__0(X0)
| class_Groups_Ozero(X0) ),
inference(ennf_transformation,[],[f1012]) ).
fof(f2061,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Polynomial_Odegree(t_a,v_p),
inference(cnf_transformation,[],[f1220]) ).
fof(f2062,plain,
class_Int_Oring__char__0(t_a),
inference(cnf_transformation,[],[f1218]) ).
fof(f2063,plain,
class_Rings_Oidom(t_a),
inference(cnf_transformation,[],[f1219]) ).
fof(f2065,plain,
( ~ class_Rings_Oidom(t_a)
| ~ class_Int_Oring__char__0(t_a)
| v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) ),
inference(cnf_transformation,[],[f1251]) ).
fof(f2067,plain,
! [X0] :
( ~ class_Rings_Oidom(t_a)
| ~ class_Int_Oring__char__0(t_a)
| hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)) = hAPP(c_Polynomial_Opoly(t_a,v_p),X0) ),
inference(cnf_transformation,[],[f1255]) ).
fof(f2117,plain,
! [X0,X1] :
( ~ class_Groups_Ozero(X1)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))) ),
inference(cnf_transformation,[],[f1280]) ).
fof(f2214,plain,
! [X0] :
( ~ class_Int_Oring__char__0(X0)
| class_Groups_Ozero(X0) ),
inference(cnf_transformation,[],[f1325]) ).
tcf(c_49,negated_conjecture,
c_Polynomial_Odegree(t_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(cnf_transformation,[],[f2061]) ).
tcf(c_50,plain,
class_Int_Oring__char__0(t_a),
inference(cnf_transformation,[],[f2062]) ).
tcf(c_51,plain,
class_Rings_Oidom(t_a),
inference(cnf_transformation,[],[f2063]) ).
tcf(c_53,plain,
( ( c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = v_p )
| ~ class_Rings_Oidom(t_a)
| ~ class_Int_Oring__char__0(t_a) ),
inference(cnf_transformation,[],[f2065]) ).
tcf(c_55,plain,
! [X0: $i] :
( ( hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)) = hAPP(c_Polynomial_Opoly(t_a,v_p),X0) )
| ~ class_Rings_Oidom(t_a)
| ~ class_Int_Oring__char__0(t_a) ),
inference(cnf_transformation,[],[f2067]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Odegree(X0,c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
| ~ class_Groups_Ozero(X0) ),
inference(cnf_transformation,[],[f2117]) ).
tcf(c_196,plain,
! [X0: $i] :
( class_Groups_Ozero(X0)
| ~ class_Int_Oring__char__0(X0) ),
inference(cnf_transformation,[],[f2214]) ).
tcf(c_1286,plain,
! [X0: $i] : hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)) = hAPP(c_Polynomial_Opoly(t_a,v_p),X0),
inference(global_subsumption_just,[status(thm)],[c_55,c_51,c_50,c_55]) ).
tcf(c_1292,plain,
c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = v_p,
inference(global_subsumption_just,[status(thm)],[c_53,c_51,c_50,c_53]) ).
tcf(c_39172,plain,
! [X0: $i,X1: $i] : hAPP(c_Polynomial_Opoly(t_a,v_p),X0) = hAPP(c_Polynomial_Opoly(t_a,v_p),X1),
inference(superposition,[status(thm)],[c_1286,c_1286]) ).
tcf(c_39177,plain,
class_Groups_Ozero(t_a),
inference(superposition,[status(thm)],[c_50,c_196]) ).
tcf(c_39216,plain,
! [X0: $i] : c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = v_p,
inference(superposition,[status(thm)],[c_39172,c_1292]) ).
tcf(c_44598,plain,
! [X0: $i] : c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(superposition,[status(thm)],[c_39177,c_101]) ).
tcf(c_46157,plain,
c_Polynomial_Odegree(t_a,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(superposition,[status(thm)],[c_39216,c_44598]) ).
tcf(c_46159,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_46157,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW288+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.40 % Computer : n002.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Thu Sep 24 22:01:04 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.46
% 0.15/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.46
% 0.15/0.47 % Detected problem language: tptp
% 0.15/0.48 % Proving...
% 16.56/3.39 % SZS status Started for theBenchmark.p
% 16.56/3.39 ERROR - "ProverProcess:heur/409474:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 16.56/3.39 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 16.56/3.39 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 4 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution true --res_lit_sel pos_max --res_lit_sel_side num_var --res_ordering kbo_pred --res_passive_queue_type priority_queues --res_passive_queues "[[-num_lits];[-conj_symb;-num_symb;+num_symb]]" --res_passive_queues_freq "[15;3]" --res_prop_simpl_given false --res_prop_simpl_new true --res_sim_input true --res_time_limit 202.80 --res_to_prop_solver passive --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_gxkg6l7r/whsx3v6o 2>> /export/starexec/sandbox/tmp/iprover_out_gxkg6l7r/whsx3v6o_error
% 16.56/3.39 % SZS status Theorem for theBenchmark.p
% 16.56/3.39
% 16.56/3.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.56/3.39
% 16.56/3.39 % ------ iProver source info
% 16.56/3.39
% 16.56/3.39 % git: date: 2026-07-19 20:42:38 +0200
% 16.56/3.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.56/3.39 % git: non_committed_changes: false
% 16.56/3.39
% 16.56/3.39 % ------ Parsing...
% 16.56/3.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.56/3.39
% 16.56/3.39 % ------ Preprocessing... sup_sim: 48 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 16.56/3.39
% 16.56/3.39 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 16.56/3.39
% 16.56/3.39 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 16.56/3.39 % ------ Proving...
% 16.56/3.39 % ------ Problem Properties
% 16.56/3.39
% 16.56/3.39 %
% 16.56/3.39 % clauses 576
% 16.56/3.39 % conjectures 1
% 16.56/3.39 % EPR 62
% 16.56/3.39 % Horn 513
% 16.56/3.39 % unary 104
% 16.56/3.39 % binary 269
% 16.56/3.39 % lits 1332
% 16.56/3.39 % lits eq 370
% 16.56/3.39 % fd_pure 0
% 16.56/3.39 % fd_pseudo 0
% 16.56/3.39 % fd_cond 34
% 16.56/3.39 % fd_pseudo_cond 56
% 16.56/3.39 % AC symbols 0
% 16.56/3.39
% 16.56/3.39 % ------ Schedule dynamic 5 is on
% 16.56/3.39
% 16.56/3.39 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.56/3.39
% 16.56/3.39
% 16.56/3.39 % ------
% 16.56/3.39 % Current options:
% 16.56/3.39 % ------
% 16.56/3.39
% 16.56/3.39
% 16.56/3.39 %
% 16.56/3.39
% 16.56/3.39 % ------ Proving...
% 16.56/3.39 %
% 16.56/3.39
% 16.56/3.39 % SZS status Theorem for theBenchmark.p
% 16.56/3.39
% 16.56/3.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.56/3.39
% 16.56/3.39
%------------------------------------------------------------------------------