%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 2.01s 1.27s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).
fof(f3,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).
fof(f6,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_3) ).
fof(f7,plain,
a != join(a,a),
inference(reorient_equations,[],[f6]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(cnf_transformation,[],[f1]) ).
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(a,a) != a,
inference(cnf_transformation,[],[f7]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_58,c_59]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_59,c_58]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i] : meet(meet(X0,meet(X0,X1)),meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_55,c_161]) ).
tcf(c_312,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(superposition,[status(thm)],[c_58,c_251]) ).
tcf(c_352,plain,
! [X0: $i] : join(join(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_312,c_157]) ).
tcf(c_356,plain,
! [X0: $i] : meet(join(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_312,c_58]) ).
tcf(c_379,plain,
! [X0: $i] : join(meet(join(X0,X0),X0),meet(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_352,c_57]) ).
tcf(c_382,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_379,c_312,c_356]) ).
tcf(c_385,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_60,c_382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n004.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 20:12:52 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running UEQ theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 2.01/1.27 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.01/1.27 % SZS status Started for theBenchmark.p
% 2.01/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.01/1.27
% 2.01/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.01/1.27
% 2.01/1.27 % ------ iProver source info
% 2.01/1.27
% 2.01/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.01/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.01/1.27 % git: non_committed_changes: false
% 2.01/1.27
% 2.01/1.27 % ------ Parsing...% successful
% 2.01/1.27
% 2.01/1.27
% 2.01/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.01/1.27
% 2.01/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.01/1.27
% 2.01/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.01/1.27
% 2.01/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.01/1.27 % ------ Proving...
% 2.01/1.27 % ------ Problem Properties
% 2.01/1.27
% 2.01/1.27 %
% 2.01/1.27 % clauses 6
% 2.01/1.27 % conjectures 1
% 2.01/1.27 % EPR 0
% 2.01/1.27 % Horn 6
% 2.01/1.27 % unary 6
% 2.01/1.27 % binary 0
% 2.01/1.27 % lits 6
% 2.01/1.27 % lits eq 6
% 2.01/1.27 % fd_pure 0
% 2.01/1.27 % fd_pseudo 0
% 2.01/1.27 % fd_cond 0
% 2.01/1.27 % fd_pseudo_cond 0
% 2.01/1.27 % AC symbols 0
% 2.01/1.27
% 2.01/1.27 % ------ Input Options Time Limit: Unbounded
% 2.01/1.27
% 2.01/1.27
% 2.01/1.27 % ------
% 2.01/1.27 % Current options:
% 2.01/1.27 % ------
% 2.01/1.27
% 2.01/1.27
% 2.01/1.27 %
% 2.01/1.27
% 2.01/1.27 % ------ Proving...
% 2.01/1.27 %
% 2.01/1.27
% 2.01/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.01/1.27
% 2.01/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.01/1.27
% 2.01/1.27
%------------------------------------------------------------------------------