%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT029-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 01:58:08 PM UTC 2026
% Result : Unsatisfiable 8.03s 1.71s
% Output : CNFRefutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 6
% Syntax : Number of formulae : 61 ( 56 unt; 0 def)
% Number of atoms : 73 ( 72 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_1) ).
fof(f2,axiom,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_2) ).
fof(f3,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_3) ).
fof(f4,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_4) ).
fof(f5,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_5) ).
fof(f6,negated_conjecture,
( join(b,a) != join(a,b)
| join(a,a) != a
| meet(b,a) != meet(a,b)
| meet(a,a) != a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms) ).
fof(f7,plain,
( join(b,a) != join(a,b)
| a != join(a,a)
| meet(b,a) != meet(a,b)
| a != meet(a,a) ),
inference(reorient_equations,[],[f6]) ).
tcf(c_55,negated_conjecture,
( ( join(a,b) != join(b,a) )
| ( join(a,a) != a )
| ( meet(a,b) != meet(b,a) )
| ( meet(a,a) != a ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_56,c_57]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_57,c_56]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,join(meet(join(X0,X1),X0),X0))) = X0,
inference(superposition,[status(thm)],[c_140,c_58]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,join(X1,meet(X2,X0))),meet(X2,X0)) = meet(X2,X0),
inference(superposition,[status(thm)],[c_58,c_57]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i] : meet(meet(X0,meet(X0,X1)),meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_60,c_140]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_162,c_57]) ).
tcf(c_592,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(superposition,[status(thm)],[c_319,c_290]) ).
tcf(c_603,plain,
( ( join(a,b) != join(b,a) )
| ( join(a,a) != a )
| ( meet(a,b) != meet(b,a) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_55,c_592]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_59,c_592]) ).
tcf(c_622,plain,
! [X0: $i] : join(join(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_592,c_142]) ).
tcf(c_624,plain,
! [X0: $i] : meet(join(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_592,c_57]) ).
tcf(c_657,plain,
! [X0: $i] : join(meet(join(X0,X0),X0),meet(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_622,c_58]) ).
tcf(c_663,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_657,c_592,c_624]) ).
tcf(c_665,plain,
( ( join(a,b) != join(b,a) )
| ( meet(a,b) != meet(b,a) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_603,c_663]) ).
tcf(c_815,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_609,c_663]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i] : join(meet(X0,meet(X1,X0)),meet(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_815,c_60]) ).
tcf(c_826,plain,
! [X0: $i,X1: $i] : join(meet(X0,meet(X1,X0)),meet(meet(X1,X0),X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_815,c_58]) ).
tcf(c_833,plain,
! [X0: $i,X1: $i] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(light_normalisation,[status(thm)],[c_825,c_592]) ).
tcf(c_1514,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X0),meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_815,c_168]) ).
tcf(c_1557,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(light_normalisation,[status(thm)],[c_1514,c_592]) ).
tcf(c_1559,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),X1) = X1,
inference(demodulation,[status(thm)],[c_833,c_1557]) ).
tcf(c_1614,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
inference(superposition,[status(thm)],[c_1557,c_56]) ).
tcf(c_2230,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(meet(X0,X1),X1)) = meet(X0,X1),
inference(light_normalisation,[status(thm)],[c_826,c_1557]) ).
tcf(c_2246,plain,
! [X0: $i,X1: $i] : join(meet(join(X0,X1),X0),X0) = meet(join(X0,X1),X0),
inference(superposition,[status(thm)],[c_140,c_2230]) ).
tcf(c_2322,plain,
! [X0: $i,X1: $i] : meet(join(X0,X1),X0) = X0,
inference(demodulation,[status(thm)],[c_2246,c_1559]) ).
tcf(c_2326,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_60,c_2322]) ).
tcf(c_2331,plain,
! [X0: $i,X1: $i] : meet(X0,join(meet(X0,X1),X0)) = join(meet(X0,X1),X0),
inference(superposition,[status(thm)],[c_142,c_2322]) ).
tcf(c_2775,plain,
! [X0: $i,X1: $i] : meet(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_2331,c_319]) ).
tcf(c_3498,plain,
! [X0: $i,X1: $i] : join(X0,meet(join(meet(X0,X1),X0),join(join(meet(X0,X1),X0),X0))) = join(meet(X0,X1),X0),
inference(superposition,[status(thm)],[c_2775,c_60]) ).
tcf(c_3516,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),X0) = X0,
inference(light_normalisation,[status(thm)],[c_3498,c_142,c_663,c_2775]) ).
tcf(c_3563,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_2322,c_3516]) ).
tcf(c_3638,plain,
! [X0: $i,X1: $i] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_3563,c_60]) ).
tcf(c_3930,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_3638,c_663]) ).
tcf(c_3937,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(superposition,[status(thm)],[c_3516,c_3930]) ).
tcf(c_3959,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),X0) = join(X0,X1),
inference(superposition,[status(thm)],[c_3930,c_815]) ).
tcf(c_3964,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(meet(X0,join(X1,X2)),X1),join(X1,X2)) = join(X1,X2),
inference(superposition,[status(thm)],[c_3930,c_1614]) ).
tcf(c_3967,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_319,c_3937]) ).
tcf(c_4097,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_3937,c_815]) ).
tcf(c_4130,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_4097,c_168]) ).
tcf(c_5206,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_4130,c_4097]) ).
tcf(c_5207,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_4130,c_3937]) ).
tcf(c_6323,plain,
! [X0: $i,X1: $i] : meet(meet(X0,meet(X0,X1)),meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_5206,c_168]) ).
tcf(c_6341,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(light_normalisation,[status(thm)],[c_6323,c_2326,c_5207]) ).
tcf(c_6374,plain,
join(a,b) != join(b,a),
inference(backward_subsumption_resolution,[status(thm)],[c_665,c_6341]) ).
tcf(c_7386,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_3967,c_3964]) ).
tcf(c_7526,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(superposition,[status(thm)],[c_7386,c_3959]) ).
tcf(c_7653,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(superposition,[status(thm)],[c_7526,c_7386]) ).
tcf(c_7697,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_6374,c_7653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT029-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 20:03:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 0.09/0.40
% 0.09/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.40
% 0.09/0.40 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 8.03/1.71 % SZS status Started for theBenchmark.p
% 8.03/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.03/1.71
% 8.03/1.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.03/1.71
% 8.03/1.71 % ------ iProver source info
% 8.03/1.71
% 8.03/1.71 % git: date: 2026-07-19 20:42:38 +0200
% 8.03/1.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.03/1.71 % git: non_committed_changes: false
% 8.03/1.71
% 8.03/1.71 % ------ Parsing...% successful
% 8.03/1.71
% 8.03/1.71
% 8.03/1.71 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.03/1.71
% 8.03/1.71 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.03/1.71
% 8.03/1.71 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.03/1.71
% 8.03/1.71 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.03/1.71 % ------ Proving...
% 8.03/1.71 % ------ Problem Properties
% 8.03/1.71
% 8.03/1.71 %
% 8.03/1.71 % clauses 6
% 8.03/1.71 % conjectures 1
% 8.03/1.71 % EPR 0
% 8.03/1.71 % Horn 6
% 8.03/1.71 % unary 5
% 8.03/1.71 % binary 0
% 8.03/1.71 % lits 9
% 8.03/1.71 % lits eq 9
% 8.03/1.71 % fd_pure 0
% 8.03/1.71 % fd_pseudo 0
% 8.03/1.71 % fd_cond 0
% 8.03/1.71 % fd_pseudo_cond 0
% 8.03/1.71 % AC symbols 0
% 8.03/1.71
% 8.03/1.71 % ------ Schedule dynamic 5 is on
% 8.03/1.71
% 8.03/1.71 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.03/1.71
% 8.03/1.71
% 8.03/1.71 % ------
% 8.03/1.71 % Current options:
% 8.03/1.71 % ------
% 8.03/1.71
% 8.03/1.71
% 8.03/1.71 %
% 8.03/1.71
% 8.03/1.71 % ------ Proving...
% 8.03/1.71 %
% 8.03/1.71
% 8.03/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.03/1.71
% 8.03/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.03/1.71
% 8.03/1.71
%------------------------------------------------------------------------------