%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW216+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 : n001.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 03:29:16 PM UTC 2026
% Result : Theorem 41.03s 6.40s
% Output : CNFRefutation 41.03s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f2334ERROR: Could not build tree for root c_23175ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_m_I1_J) ).
fof(f3,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H_I3_J) ).
fof(f1106,axiom,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).
fof(f1250,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1251,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(negated_conjecture,[status(cth)],[f1250]) ).
fof(f1253,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(flattening,[],[f1251]) ).
fof(f2373,plain,
! [X0,X1,X2,X3] :
( ~ class_Fields_Olinordered__field__inverse__zero(X3)
| ( ( ~ c_Orderings_Oord__class_Oless(X3,X2,c_Rings_Oinverse__class_Odivide(X3,X1,X0))
| ( sP1(X0,X2,X3,X1)
& ( ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
| c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X2),X0),X1) ) ) )
& ( ~ sP1(X0,X2,X3,X1)
| ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
& ~ c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X2),X0),X1) )
| c_Orderings_Oord__class_Oless(X3,X2,c_Rings_Oinverse__class_Odivide(X3,X1,X0)) ) ) ),
inference(nnf_transformation,[],[f2334]) ).
fof(f2374,plain,
! [X0,X1,X2,X3] :
( ~ class_Fields_Olinordered__field__inverse__zero(X3)
| ( ( ~ c_Orderings_Oord__class_Oless(X3,X2,c_Rings_Oinverse__class_Odivide(X3,X1,X0))
| ( sP1(X0,X2,X3,X1)
& ( ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
| c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X2),X0),X1) ) ) )
& ( ~ sP1(X0,X2,X3,X1)
| ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
& ~ c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X2),X0),X1) )
| c_Orderings_Oord__class_Oless(X3,X2,c_Rings_Oinverse__class_Odivide(X3,X1,X0)) ) ) ),
inference(flattening,[],[f2373]) ).
fof(f2767,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(cnf_transformation,[],[f2]) ).
fof(f2768,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
inference(cnf_transformation,[],[f3]) ).
fof(f2840,plain,
! [X2,X3,X0,X1] :
( ~ class_Fields_Olinordered__field__inverse__zero(X3)
| ~ c_Orderings_Oord__class_Oless(X3,X2,c_Rings_Oinverse__class_Odivide(X3,X1,X0))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
| c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X2),X0),X1) ),
inference(cnf_transformation,[],[f2374]) ).
fof(f4415,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1106]) ).
fof(f4559,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(cnf_transformation,[],[f1253]) ).
tcf(c_50,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(cnf_transformation,[],[f2767]) ).
tcf(c_51,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
inference(cnf_transformation,[],[f2768]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Otimes__class_Otimes(X0,X1),X3),X2)
| ~ class_Fields_Olinordered__field__inverse__zero(X0)
| ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
| ~ c_Orderings_Oord__class_Oless(X0,X1,c_Rings_Oinverse__class_Odivide(X0,X2,X3)) ),
inference(cnf_transformation,[],[f2840]) ).
tcf(c_1633,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f4415]) ).
tcf(c_1777,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(cnf_transformation,[],[f4559]) ).
tcf(c_23174,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e)
| ~ class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_23175,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_23174,c_1777,c_51,c_50,c_1633]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW216+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 21:51:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 41.03/6.40 % SZS status Started for theBenchmark.p
% 41.03/6.40 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")
% 41.03/6.40 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 41.03/6.40 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_qnfae1gs/herle1m7 2>> /export/starexec/sandbox/tmp/iprover_out_qnfae1gs/herle1m7_error
% 41.03/6.40 ERROR - "ProverProcess:heur/397442:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 41.03/6.40 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 41.03/6.40 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 64 --comb_mode clause_based --comb_res_mult 1 --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 4 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 8 --inst_learning_loop_flag true --inst_learning_start 2 --inst_lit_activity_flag false --inst_lit_sel "[-split]" --inst_lit_sel_side num_lit --inst_orphan_elimination false --inst_passive_queue_type priority_queues --inst_passive_queues "[[+conj_symb]]" --inst_passive_queues_freq "[50]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.8199321230744955 --inst_solver_per_active 4 --inst_sos_flag false --inst_start_prop_sim_after_learn 7 --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 true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --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_qnfae1gs/_o6qfq3y 2>> /export/starexec/sandbox/tmp/iprover_out_qnfae1gs/_o6qfq3y_error
% 41.03/6.40 % SZS status Theorem for theBenchmark.p
% 41.03/6.40
% 41.03/6.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 41.03/6.40
% 41.03/6.40 % ------ iProver source info
% 41.03/6.40
% 41.03/6.40 % git: date: 2026-07-19 20:42:38 +0200
% 41.03/6.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 41.03/6.40 % git: non_committed_changes: false
% 41.03/6.40
% 41.03/6.40 % ------ Parsing...
% 41.03/6.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 41.03/6.40
% 41.03/6.40 % ------ Preprocessing... sf_s rm: 17 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e %
% 41.03/6.40
% 41.03/6.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 4 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 41.03/6.40
% 41.03/6.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e
% 41.03/6.40 % ------ Proving...
% 41.03/6.40 % ------ Problem Properties
% 41.03/6.40
% 41.03/6.40 %
% 41.03/6.40 % clauses 1601
% 41.03/6.40 % conjectures 1
% 41.03/6.40 % EPR 129
% 41.03/6.40 % Horn 1387
% 41.03/6.40 % unary 519
% 41.03/6.40 % binary 489
% 41.03/6.40 % lits 3594
% 41.03/6.40 % lits eq 894
% 41.03/6.40 % fd_pure 0
% 41.03/6.40 % fd_pseudo 0
% 41.03/6.40 % fd_cond 111
% 41.03/6.40 % fd_pseudo_cond 78
% 41.03/6.40 % AC symbols 0
% 41.03/6.40
% 41.03/6.40 % ------ Input Options Time Limit: Unbounded
% 41.03/6.40
% 41.03/6.40
% 41.03/6.40 % ------
% 41.03/6.40 % Current options:
% 41.03/6.40 % ------
% 41.03/6.40
% 41.03/6.40
% 41.03/6.40 %
% 41.03/6.40
% 41.03/6.40 % ------ Proving...
% 41.03/6.40 %
% 41.03/6.40
% 41.03/6.40 % SZS status Theorem for theBenchmark.p
% 41.03/6.40
% 41.03/6.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 41.03/6.40
% 41.03/6.40
%------------------------------------------------------------------------------