%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT091-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 01:58:14 PM UTC 2026
% Result : Unsatisfiable 2.54s 1.11s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 91 ( 0 sgn 91 !; 0 ?; 79 :)
% 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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_4) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
join(b,a) != join(a,b),
inference(cnf_transformation,[],[f6]) ).
tcf(c_137,plain,
! [X0: $i] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_58,c_56]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_58,c_59]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_59,c_58]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] : meet(meet(X0,meet(X0,X1)),meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_55,c_166]) ).
tcf(c_321,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(superposition,[status(thm)],[c_58,c_260]) ).
tcf(c_333,plain,
! [X0: $i] : join(X0,join(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_137,c_321]) ).
tcf(c_334,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_56,c_321]) ).
tcf(c_362,plain,
! [X0: $i] : join(join(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_321,c_162]) ).
tcf(c_366,plain,
! [X0: $i] : meet(join(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_321,c_58]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_333,c_58]) ).
tcf(c_389,plain,
! [X0: $i] : join(meet(join(X0,X0),X0),meet(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_362,c_57]) ).
tcf(c_392,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_389,c_321,c_366]) ).
tcf(c_415,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_334,c_392]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] : join(meet(X0,meet(X1,X0)),meet(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_415,c_55]) ).
tcf(c_426,plain,
! [X0: $i,X1: $i] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(light_normalisation,[status(thm)],[c_424,c_321]) ).
tcf(c_439,plain,
! [X0: $i,X1: $i] : meet(meet(meet(X0,X1),X1),meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_415,c_374]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i] : meet(X0,meet(join(X0,X1),X0)) = meet(join(X0,X1),X0),
inference(superposition,[status(thm)],[c_166,c_439]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i] : join(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_714,c_426]) ).
tcf(c_1126,plain,
! [X0: $i,X1: $i] : join(meet(meet(join(X0,X1),X0),X0),meet(meet(join(X0,X1),X0),X0)) = meet(join(X0,X1),X0),
inference(superposition,[status(thm)],[c_1065,c_55]) ).
tcf(c_1133,plain,
! [X0: $i,X1: $i] : meet(join(X0,X1),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1126,c_166,c_392]) ).
tcf(c_1179,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(superposition,[status(thm)],[c_57,c_1133]) ).
tcf(c_1182,plain,
! [X0: $i,X1: $i] : meet(X0,join(meet(X0,X1),X0)) = join(meet(X0,X1),X0),
inference(superposition,[status(thm)],[c_162,c_1133]) ).
tcf(c_1261,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
inference(superposition,[status(thm)],[c_1179,c_59]) ).
tcf(c_1580,plain,
! [X0: $i,X1: $i] : meet(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_1182,c_374]) ).
tcf(c_1647,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_1580,c_55]) ).
tcf(c_1655,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1647,c_162,c_392,c_1580]) ).
tcf(c_1696,plain,
! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_1133,c_1655]) ).
tcf(c_1775,plain,
! [X0: $i,X1: $i] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_1696,c_55]) ).
tcf(c_2222,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_1775,c_392]) ).
tcf(c_2230,plain,
! [X0: $i,X1: $i] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(superposition,[status(thm)],[c_1655,c_2222]) ).
tcf(c_2248,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),X0) = join(X0,X1),
inference(superposition,[status(thm)],[c_2222,c_415]) ).
tcf(c_2249,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_2222,c_1261]) ).
tcf(c_2251,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_374,c_2230]) ).
tcf(c_4706,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_2251,c_2249]) ).
tcf(c_4862,plain,
! [X0: $i,X1: $i] : join(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(superposition,[status(thm)],[c_4706,c_2248]) ).
tcf(c_5031,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(superposition,[status(thm)],[c_4862,c_4706]) ).
tcf(c_5070,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_60,c_5031]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT091-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 20:14:36 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running UEQ theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.54/1.11 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.54/1.11 % SZS status Started for theBenchmark.p
% 2.54/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.54/1.11
% 2.54/1.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.54/1.11
% 2.54/1.11 % ------ iProver source info
% 2.54/1.11
% 2.54/1.11 % git: date: 2026-07-19 20:42:38 +0200
% 2.54/1.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.54/1.11 % git: non_committed_changes: false
% 2.54/1.11
% 2.54/1.11 % ------ Parsing...% successful
% 2.54/1.11
% 2.54/1.11
% 2.54/1.11 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.54/1.11
% 2.54/1.11 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.54/1.11
% 2.54/1.11 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.54/1.11
% 2.54/1.11 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.54/1.11 % ------ Proving...
% 2.54/1.11 % ------ Problem Properties
% 2.54/1.11
% 2.54/1.11 %
% 2.54/1.11 % clauses 6
% 2.54/1.11 % conjectures 1
% 2.54/1.11 % EPR 0
% 2.54/1.11 % Horn 6
% 2.54/1.11 % unary 6
% 2.54/1.11 % binary 0
% 2.54/1.11 % lits 6
% 2.54/1.11 % lits eq 6
% 2.54/1.11 % fd_pure 0
% 2.54/1.11 % fd_pseudo 0
% 2.54/1.11 % fd_cond 0
% 2.54/1.11 % fd_pseudo_cond 0
% 2.54/1.11 % AC symbols 0
% 2.54/1.11
% 2.54/1.11 % ------ Input Options Time Limit: Unbounded
% 2.54/1.11
% 2.54/1.11
% 2.54/1.11 % ------
% 2.54/1.11 % Current options:
% 2.54/1.11 % ------
% 2.54/1.11
% 2.54/1.11
% 2.54/1.11 %
% 2.54/1.11
% 2.54/1.11 % ------ Proving...
% 2.54/1.11 %
% 2.54/1.11
% 2.54/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.54/1.11
% 2.54/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.54/1.11
% 2.54/1.11
%------------------------------------------------------------------------------