%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 01:58:06 PM UTC 2026
% Result : Unsatisfiable 0.28s 1.05s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,join(X0,X2))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie2) ).
fof(f3,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie3) ).
fof(f5,negated_conjecture,
meet(a,join(a,b)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_absorbtion) ).
fof(f6,plain,
a != meet(a,join(a,b)),
inference(reorient_equations,[],[f5]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,negated_conjecture,
meet(a,join(a,b)) != a,
inference(cnf_transformation,[],[f6]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_56,c_55]) ).
tcf(c_146,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.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 20:01:48 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running UEQ theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 0.28/1.05 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.28/1.05 % SZS status Started for theBenchmark.p
% 0.28/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 0.28/1.05
% 0.28/1.05 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.28/1.05
% 0.28/1.05 % ------ iProver source info
% 0.28/1.05
% 0.28/1.05 % git: date: 2026-07-19 20:42:38 +0200
% 0.28/1.05 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.28/1.05 % git: non_committed_changes: false
% 0.28/1.05
% 0.28/1.05 % ------ Parsing...% successful
% 0.28/1.05
% 0.28/1.05
% 0.28/1.05 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.28/1.05
% 0.28/1.05 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.28/1.05
% 0.28/1.05 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.28/1.05
% 0.28/1.05 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.28/1.05 % ------ Proving...
% 0.28/1.05 % ------ Problem Properties
% 0.28/1.05
% 0.28/1.05 %
% 0.28/1.05 % clauses 5
% 0.28/1.05 % conjectures 1
% 0.28/1.05 % EPR 0
% 0.28/1.05 % Horn 5
% 0.28/1.05 % unary 5
% 0.28/1.05 % binary 0
% 0.28/1.05 % lits 5
% 0.28/1.05 % lits eq 5
% 0.28/1.05 % fd_pure 0
% 0.28/1.05 % fd_pseudo 0
% 0.28/1.05 % fd_cond 0
% 0.28/1.05 % fd_pseudo_cond 0
% 0.28/1.05 % AC symbols 0
% 0.28/1.05
% 0.28/1.05 % ------ Input Options Time Limit: Unbounded
% 0.28/1.05
% 0.28/1.05
% 0.28/1.05 % ------
% 0.28/1.05 % Current options:
% 0.28/1.05 % ------
% 0.28/1.05
% 0.28/1.05
% 0.28/1.05 %
% 0.28/1.05
% 0.28/1.05 % ------ Proving...
% 0.28/1.05 %
% 0.28/1.05
% 0.28/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 0.28/1.05
% 0.28/1.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.28/1.05
% 0.28/1.05
%------------------------------------------------------------------------------