%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT244-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 01:58:26 PM UTC 2026
% Result : Unsatisfiable 87.78s 17.03s
% Output : CNFRefutation 87.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 54 ( 51 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( complement(X0) = X1
| join(X0,X1) != one
| meet(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',meet_join_complement) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(join(X0,X1),join(X2,meet(X0,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H58) ).
fof(f13,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f14,plain,
a = meet(b,a),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f16,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f15]) ).
tcf(c_63,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_71,plain,
! [X0: $i] : join(X0,complement(X0)) = one,
inference(cnf_transformation,[],[f9]) ).
tcf(c_72,plain,
! [X0: $i] : meet(X0,complement(X0)) = zero,
inference(cnf_transformation,[],[f10]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( ( complement(X0) = X1 )
| ( meet(X0,X1) != zero )
| ( join(X0,X1) != one ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(join(X0,X1),join(X2,meet(X0,X1))))) = meet(X0,join(X1,X2)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_75,plain,
meet(b,a) = a,
inference(cnf_transformation,[],[f14]) ).
tcf(c_76,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
inference(cnf_transformation,[],[f16]) ).
tcf(c_77249,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_70,c_68]) ).
tcf(c_77727,plain,
meet(a,b) = a,
inference(demodulation,[status(thm)],[c_75,c_67]) ).
tcf(c_77740,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_67,c_66]) ).
tcf(c_77847,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_63,c_69]) ).
tcf(c_77851,plain,
! [X0: $i] : meet(a,meet(b,X0)) = meet(a,X0),
inference(superposition,[status(thm)],[c_77727,c_69]) ).
tcf(c_77961,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_64,c_70]) ).
tcf(c_78032,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(join(X0,X1)))) = one,
inference(superposition,[status(thm)],[c_71,c_70]) ).
tcf(c_78202,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_72,c_66]) ).
tcf(c_78291,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,meet(join(X0,X1),join(meet(X0,X1),X2)))) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c_68,c_74]) ).
tcf(c_78292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : meet(X0,join(X1,meet(join(X0,X1),join(X2,join(X3,meet(X0,X1)))))) = meet(X0,join(X1,join(X2,X3))),
inference(superposition,[status(thm)],[c_70,c_74]) ).
tcf(c_79343,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X1,X0),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_77740,c_70]) ).
tcf(c_79347,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,meet(X2,X0))) = join(X1,X0),
inference(superposition,[status(thm)],[c_77740,c_77249]) ).
tcf(c_79589,plain,
! [X0: $i] : meet(X0,zero) = zero,
inference(superposition,[status(thm)],[c_72,c_77847]) ).
tcf(c_80058,plain,
meet(a,complement(b)) = meet(a,zero),
inference(superposition,[status(thm)],[c_72,c_77851]) ).
tcf(c_80072,plain,
meet(a,complement(b)) = zero,
inference(demodulation,[status(thm)],[c_80058,c_79589]) ).
tcf(c_80340,plain,
! [X0: $i] : meet(a,join(complement(b),meet(join(a,complement(b)),join(X0,zero)))) = meet(a,join(complement(b),X0)),
inference(superposition,[status(thm)],[c_80072,c_74]) ).
tcf(c_80347,plain,
! [X0: $i] : meet(a,join(complement(b),meet(join(a,complement(b)),X0))) = meet(a,join(complement(b),X0)),
inference(demodulation,[status(thm)],[c_80340,c_78202]) ).
tcf(c_84811,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_78202,c_68]) ).
tcf(c_89456,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,join(meet(X0,X1),X2))) = meet(X0,join(X1,join(X2,meet(X0,X1)))),
inference(superposition,[status(thm)],[c_78292,c_78291]) ).
tcf(c_89459,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(demodulation,[status(thm)],[c_89456,c_79347,c_79343]) ).
tcf(c_259116,plain,
meet(a,join(complement(b),complement(join(a,complement(b))))) = meet(a,join(complement(b),zero)),
inference(superposition,[status(thm)],[c_72,c_80347]) ).
tcf(c_259232,plain,
meet(a,join(complement(b),complement(join(a,complement(b))))) = zero,
inference(demodulation,[status(thm)],[c_259116,c_80072,c_84811,c_89459]) ).
tcf(c_261823,plain,
( ( join(complement(b),complement(join(a,complement(b)))) = complement(a) )
| ( join(a,join(complement(b),complement(join(a,complement(b))))) != one ) ),
inference(superposition,[status(thm)],[c_259232,c_73]) ).
tcf(c_261880,plain,
join(complement(b),complement(join(a,complement(b)))) = complement(a),
inference(ground_joinability,[status(thm)],[c_261823,c_78032]) ).
tcf(c_261978,plain,
join(complement(b),complement(a)) = complement(a),
inference(superposition,[status(thm)],[c_261880,c_77961]) ).
tcf(c_262008,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_261978,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT244-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 20:40:11 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 87.78/17.03 % SZS status Started for theBenchmark.p
% 87.78/17.03 ERROR - "ProverProcess:heur/445550:16.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( complement(zero) = one )")
% 87.78/17.03 Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( complement(zero) = one )")
% 87.78/17.03 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode time_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 1.6084091637003026 --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 false --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red true --prep_gs_sim false --prep_res_sim true --prep_sem_filter neg --prep_sup_sim_all true --prep_sup_sim_sup true --prep_unflatten true --prep_upred false --preprocessing_flag true --prolific_symb_bound 32768 --prop_solver_per_cl 4096 --pure_diseq_elim false --res_backward_subs subset_subsumption --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution false --res_lit_sel adaptive --res_lit_sel_side num_var --res_ordering kbo --res_passive_queue_type stack --res_passive_queues "[[-num_lits;+conj_symb;-num_symb];[-num_lits;+min_def_symb]]" --res_passive_queues_freq "[1;3]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input false --res_time_limit 202.19 --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 true --splitting_grd true --splitting_mode input --splitting_nvd 16 --stats_out none --sub_typing false --subs_bck_mult 1 --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 "[DemodLightNormLoopTriv;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 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.9903106699302947 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 5.33" --time_out_real 16.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_x6lyf85u/ugyuypzd 2>> /export/starexec/sandbox/tmp/iprover_out_x6lyf85u/ugyuypzd_error
% 87.78/17.03 % SZS status Unsatisfiable for theBenchmark.p
% 87.78/17.03
% 87.78/17.03 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 87.78/17.03
% 87.78/17.03 % ------ iProver source info
% 87.78/17.03
% 87.78/17.03 % git: date: 2026-07-19 20:42:38 +0200
% 87.78/17.03 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 87.78/17.03 % git: non_committed_changes: false
% 87.78/17.03
% 87.78/17.03 % ------ Parsing...% successful
% 87.78/17.03
% 87.78/17.03
% 87.78/17.03 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 87.78/17.03
% 87.78/17.03 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 87.78/17.03
% 87.78/17.03 % ------ Preprocessing...%
% 87.78/17.03
% 87.78/17.03 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 87.78/17.03 % ------ Proving...
% 87.78/17.03 % ------ Problem Properties
% 87.78/17.03
% 87.78/17.03 %
% 87.78/17.03 % clauses 14
% 87.78/17.03 % conjectures 1
% 87.78/17.03 % EPR 0
% 87.78/17.03 % Horn 14
% 87.78/17.03 % unary 13
% 87.78/17.03 % binary 0
% 87.78/17.03 % lits 16
% 87.78/17.03 % lits eq 16
% 87.78/17.03 % fd_pure 0
% 87.78/17.03 % fd_pseudo 0
% 87.78/17.03 % fd_cond 0
% 87.78/17.03 % fd_pseudo_cond 1
% 87.78/17.03 % AC symbols 2
% 87.78/17.03
% 87.78/17.03 % ------ Input Options Time Limit: Unbounded
% 87.78/17.03
% 87.78/17.03
% 87.78/17.03 % ------
% 87.78/17.03 % Current options:
% 87.78/17.03 % ------
% 87.78/17.03
% 87.78/17.03
% 87.78/17.03 %
% 87.78/17.03
% 87.78/17.03 % ------ Proving...
% 87.78/17.03 %
% 87.78/17.03
% 87.78/17.03 % SZS status Unsatisfiable for theBenchmark.p
% 87.78/17.03
% 87.78/17.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 87.78/17.03
% 87.78/17.03
%------------------------------------------------------------------------------