%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW284+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 03:29:23 PM UTC 2026
% Result : Theorem 68.65s 19.99s
% Output : CNFRefutation 68.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 26 unt; 0 def)
% Number of atoms : 80 ( 52 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 67 ( 32 ~; 27 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 40 !; 1 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ! [X2] : hAPP(X1,X2) = hAPP(X0,X2)
=> X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ext) ).
fof(f2,axiom,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pe) ).
fof(f3,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__0(X1)
=> hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__0) ).
fof(f4,axiom,
! [X0,X1] :
( ( class_Rings_Oidom(X1)
& class_Int_Oring__char__0(X1) )
=> ( c_Polynomial_Opoly(X1,X0) = c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
<=> X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__zero) ).
fof(f1102,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f1115,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Int_Oring__char__0) ).
fof(f1122,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(f1180,axiom,
! [X0] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1181,conjecture,
v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1182,negated_conjecture,
v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(negated_conjecture,[status(cth)],[f1181]) ).
fof(f1184,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(flattening,[],[f1182]) ).
fof(f1224,plain,
! [X0,X1] :
( ? [X2] : hAPP(X1,X2) != hAPP(X0,X2)
| X1 = X0 ),
inference(ennf_transformation,[],[f1]) ).
fof(f1225,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X1)
| hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f1226,plain,
! [X0,X1] :
( ~ class_Rings_Oidom(X1)
| ~ class_Int_Oring__char__0(X1)
| ( c_Polynomial_Opoly(X1,X0) = c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
<=> X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f1227,plain,
! [X0,X1] :
( ~ class_Rings_Oidom(X1)
| ~ class_Int_Oring__char__0(X1)
| ( c_Polynomial_Opoly(X1,X0) = c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
<=> X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ) ),
inference(flattening,[],[f1226]) ).
fof(f2351,plain,
! [X0,X1] :
( hAPP(X1,sK4(X0,X1)) != hAPP(X0,sK4(X0,X1))
| X1 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f1224]) ).
fof(f2352,plain,
! [X0,X1] :
( ~ class_Rings_Oidom(X1)
| ~ class_Int_Oring__char__0(X1)
| ( ( c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) != c_Polynomial_Opoly(X1,X0)
| X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) )
& ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) != X0
| c_Polynomial_Opoly(X1,X0) = c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ) ) ),
inference(nnf_transformation,[],[f1227]) ).
fof(f2636,plain,
! [X0,X1] :
( hAPP(X1,sK4(X0,X1)) != hAPP(X0,sK4(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f2351]) ).
fof(f2637,plain,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f2]) ).
fof(f2638,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X1)
| hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1) ),
inference(cnf_transformation,[],[f1225]) ).
fof(f2639,plain,
! [X0,X1] :
( ~ class_Rings_Oidom(X1)
| ~ class_Int_Oring__char__0(X1)
| c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) != c_Polynomial_Opoly(X1,X0)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 ),
inference(cnf_transformation,[],[f2352]) ).
fof(f4068,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1102]) ).
fof(f4081,plain,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1115]) ).
fof(f4088,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1122]) ).
fof(f4146,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0),
inference(cnf_transformation,[],[f1180]) ).
fof(f4147,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(cnf_transformation,[],[f1184]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( hAPP(X0,sK4(X0,X1)) != hAPP(X1,sK4(X0,X1)) ) ),
inference(cnf_transformation,[],[f2636]) ).
tcf(c_50,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p,
inference(cnf_transformation,[],[f2637]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( ( hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0) )
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f2638]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1 )
| ~ class_Rings_Oidom(X0)
| ~ class_Int_Oring__char__0(X0)
| ( c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) != c_Polynomial_Opoly(X0,X1) ) ),
inference(cnf_transformation,[],[f2639]) ).
tcf(c_1422,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f4068]) ).
tcf(c_1435,plain,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f4081]) ).
tcf(c_1442,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f4088]) ).
tcf(c_1500,plain,
! [X0: $i] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f4146]) ).
tcf(c_1501,negated_conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q,
inference(cnf_transformation,[],[f4147]) ).
tcf(c_2750,plain,
v_p != v_q,
inference(demodulation,[status(thm)],[c_1501,c_50]) ).
tcf(c_2753,plain,
! [X0: $i] :
( ( c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q) = X0 )
| ( hAPP(X0,sK4(X0,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q))) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(superposition,[status(thm)],[c_1500,c_49]) ).
tcf(c_2777,plain,
! [X0: $i] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1422,c_51]) ).
tcf(c_2779,plain,
! [X0: $i] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_2777,c_50]) ).
tcf(c_2816,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) = c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),
inference(superposition,[status(thm)],[c_2779,c_2753]) ).
tcf(c_9898,plain,
! [X0: $i] :
( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ~ class_Rings_Oidom(tc_Complex_Ocomplex)
| ~ class_Int_Oring__char__0(tc_Complex_Ocomplex)
| ( c_Polynomial_Opoly(tc_Complex_Ocomplex,X0) != c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) ) ),
inference(superposition,[status(thm)],[c_50,c_52]) ).
tcf(c_9901,plain,
! [X0: $i] :
( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 )
| ( c_Polynomial_Opoly(tc_Complex_Ocomplex,X0) != c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) ) ),
inference(global_subsumption_just,[status(thm)],[c_9898,c_1442,c_1435,c_9898]) ).
tcf(c_9906,plain,
! [X0: $i] :
( ( X0 = v_p )
| ( c_Polynomial_Opoly(tc_Complex_Ocomplex,X0) != c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q) ) ),
inference(light_normalisation,[status(thm)],[c_9901,c_50,c_2816]) ).
tcf(c_64227,plain,
v_p = v_q,
inference(equality_resolution,[status(thm)],[c_9906]) ).
tcf(c_64228,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_64227,c_2750]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW284+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 21:58:24 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 68.65/19.99 % SZS status Started for theBenchmark.p
% 68.65/19.99 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")
% 68.65/19.99 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 68.65/19.99 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out__v9s8z_q/unkstak2 2>> /export/starexec/sandbox2/tmp/iprover_out__v9s8z_q/unkstak2_error
% 68.65/19.99 % SZS status Theorem for theBenchmark.p
% 68.65/19.99
% 68.65/19.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 68.65/19.99
% 68.65/19.99 % ------ iProver source info
% 68.65/19.99
% 68.65/19.99 % git: date: 2026-07-19 20:42:38 +0200
% 68.65/19.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 68.65/19.99 % git: non_committed_changes: false
% 68.65/19.99
% 68.65/19.99 % ------ Parsing...
% 68.65/19.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 68.65/19.99
% 68.65/19.99 % ------ Preprocessing... sf_s rm: 6 0s sf_e sf_s rm: 2 0s sf_e %
% 68.65/19.99
% 68.65/19.99 % ------ Preprocessing...%
% 68.65/19.99
% 68.65/19.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 68.65/19.99 % ------ Proving...
% 68.65/19.99 % ------ Problem Properties
% 68.65/19.99
% 68.65/19.99 %
% 68.65/19.99 % clauses 1256
% 68.65/19.99 % conjectures 1
% 68.65/19.99 % EPR 149
% 68.65/19.99 % Horn 1080
% 68.65/19.99 % unary 276
% 68.65/19.99 % binary 480
% 68.65/19.99 % lits 2964
% 68.65/19.99 % lits eq 944
% 68.65/19.99 % fd_pure 0
% 68.65/19.99 % fd_pseudo 0
% 68.65/19.99 % fd_cond 48
% 68.65/19.99 % fd_pseudo_cond 165
% 68.65/19.99 % AC symbols 0
% 68.65/19.99
% 68.65/19.99 % ------ Input Options Time Limit: Unbounded
% 68.65/19.99
% 68.65/19.99
% 68.65/19.99 % ------
% 68.65/19.99 % Current options:
% 68.65/19.99 % ------
% 68.65/19.99
% 68.65/19.99
% 68.65/19.99 %
% 68.65/19.99
% 68.65/19.99 % ------ Proving...
% 68.65/19.99 %
% 68.65/19.99
% 68.65/19.99 % SZS status Theorem for theBenchmark.p
% 68.65/19.99
% 68.65/19.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 68.65/19.99
% 68.65/19.99
%------------------------------------------------------------------------------