%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT005-5 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 01:58:04 PM UTC 2026
% Result : Unsatisfiable 4.78s 2.25s
% Output : CNFRefutation 4.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 82 ( 40 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 163 ( 86 ~; 77 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : join(n0,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',join_0_and_x) ).
fof(f4,axiom,
! [X0] : meet(n0,X0,n0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',meet_0_and_x) ).
fof(f7,axiom,
! [X2,X0,X1] :
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',commutativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] :
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',commutativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] :
( join(X0,X2,X0)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',absorbtion1) ).
fof(f10,axiom,
! [X2,X0,X1] :
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',absorbtion2) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( meet(X2,X3,X5)
| ~ meet(X0,X4,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_meet1) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X4,X5] :
( meet(X0,X4,X5)
| ~ meet(X2,X3,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',associativity_of_meet2) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X4,X5] :
( meet(X1,X3,X5)
| ~ join(X0,X4,X5)
| ~ meet(X2,X1,X4)
| ~ join(X0,X2,X3)
| ~ meet(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT002-0.ax',modularity2) ).
fof(f21,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a_and_b) ).
fof(f23,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c_and_r2) ).
fof(f24,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_b) ).
fof(f25,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_a_and_b) ).
fof(f27,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c2_and_r1) ).
fof(f28,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_a) ).
fof(f29,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_e) ).
fof(f30,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_d) ).
fof(f31,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a2_and_b2) ).
tcf(c_80,negated_conjecture,
meet(a,b,c),
inference(cnf_transformation,[],[f21]) ).
tcf(c_82,negated_conjecture,
meet(c,r2,n0),
inference(cnf_transformation,[],[f23]) ).
tcf(c_83,negated_conjecture,
meet(r2,b,e),
inference(cnf_transformation,[],[f24]) ).
tcf(c_84,negated_conjecture,
join(a,b,c2),
inference(cnf_transformation,[],[f25]) ).
tcf(c_86,negated_conjecture,
meet(c2,r1,n0),
inference(cnf_transformation,[],[f27]) ).
tcf(c_87,negated_conjecture,
meet(r2,a,d),
inference(cnf_transformation,[],[f28]) ).
tcf(c_88,negated_conjecture,
join(r1,e,a2),
inference(cnf_transformation,[],[f29]) ).
tcf(c_89,negated_conjecture,
join(r1,d,b2),
inference(cnf_transformation,[],[f30]) ).
tcf(c_90,negated_conjecture,
~ meet(a2,b2,r1),
inference(cnf_transformation,[],[f31]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( meet(X1,X4,X5)
| ~ join(X0,X3,X5)
| ~ join(X0,X2,X4)
| ~ meet(X2,X1,X3)
| ~ meet(X0,X1,X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( meet(X3,X2,X5)
| ~ meet(X4,X1,X5)
| ~ meet(X3,X0,X4)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( meet(X4,X1,X5)
| ~ meet(X3,X2,X5)
| ~ meet(X3,X0,X4)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( join(X0,X2,X0)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_105,plain,
! [X0: $i] : meet(n0,X0,n0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_106,plain,
! [X0: $i] : join(n0,X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_108,plain,
meet(n0,n0,n0),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_112,plain,
meet(a,c2,a),
inference(resolution,[status(thm)],[c_95,c_84]) ).
tcf(c_115,plain,
meet(r1,b2,r1),
inference(resolution,[status(thm)],[c_95,c_89]) ).
tcf(c_134,plain,
meet(r2,c,n0),
inference(resolution,[status(thm)],[c_97,c_82]) ).
tcf(c_135,plain,
meet(b,r2,e),
inference(resolution,[status(thm)],[c_97,c_83]) ).
tcf(c_136,plain,
meet(r1,c2,n0),
inference(resolution,[status(thm)],[c_97,c_86]) ).
tcf(c_149,plain,
join(b,a,c2),
inference(resolution,[status(thm)],[c_103,c_84]) ).
tcf(c_152,plain,
join(d,r1,b2),
inference(resolution,[status(thm)],[c_103,c_89]) ).
tcf(c_156,plain,
! [X0: $i] : join(X0,n0,X0),
inference(resolution,[status(thm)],[c_103,c_106]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,b,X2)
| ~ meet(X0,c,X2)
| ~ meet(X0,a,X1) ),
inference(resolution,[status(thm)],[c_94,c_80]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,r2,X2)
| ~ meet(X0,n0,X2)
| ~ meet(X0,c,X1) ),
inference(resolution,[status(thm)],[c_94,c_82]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,c2,X2)
| ~ meet(X0,a,X2)
| ~ meet(X0,a,X1) ),
inference(resolution,[status(thm)],[c_94,c_112]) ).
tcf(c_227,plain,
( meet(a2,b2,r1)
| ~ meet(b2,a2,r1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(b2,a2,r1)
| ~ join(X0,X2,r1)
| ~ join(X0,X1,a2)
| ~ meet(X1,b2,X2)
| ~ meet(X0,b2,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ meet(X0,b2,X0)
| ~ meet(X1,b2,X2)
| ~ join(X0,X1,a2)
| ~ join(X0,X2,r1) ),
inference(global_subsumption_just,[status(thm)],[c_239,c_90,c_227,c_239]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ join(X0,X2,r1)
| ~ join(X0,X1,a2)
| ~ meet(X1,b2,X2)
| ~ meet(X0,b2,X0) ),
inference(renaming,[status(thm)],[c_241]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,e,X2)
| ~ meet(X1,r2,X2)
| ~ meet(X0,b,X1) ),
inference(resolution,[status(thm)],[c_135,c_93]) ).
tcf(c_293,plain,
join(r1,n0,r1),
inference(resolution,[status(thm)],[c_136,c_96]) ).
tcf(c_401,plain,
meet(b,c2,b),
inference(resolution,[status(thm)],[c_149,c_95]) ).
tcf(c_512,plain,
! [X0: $i] :
( meet(d,b,X0)
| ~ meet(r2,c,X0) ),
inference(resolution,[status(thm)],[c_174,c_87]) ).
tcf(c_530,plain,
! [X0: $i,X1: $i] :
( ~ meet(r1,b2,r1)
| ~ join(r1,X1,r1)
| ~ join(r1,X0,a2)
| ~ meet(X0,b2,X1) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_532,plain,
! [X0: $i,X1: $i] :
( ~ meet(X0,b2,X1)
| ~ join(r1,X0,a2)
| ~ join(r1,X1,r1) ),
inference(global_subsumption_just,[status(thm)],[c_530,c_115,c_530]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i] :
( ~ join(r1,X1,r1)
| ~ join(r1,X0,a2)
| ~ meet(X0,b2,X1) ),
inference(renaming,[status(thm)],[c_532]) ).
tcf(c_538,plain,
meet(d,b,n0),
inference(resolution,[status(thm)],[c_512,c_134]) ).
tcf(c_539,plain,
! [X0: $i] :
( meet(n0,r2,X0)
| ~ meet(n0,n0,X0) ),
inference(resolution,[status(thm)],[c_176,c_105]) ).
tcf(c_540,plain,
( meet(n0,r2,n0)
| ~ meet(n0,n0,n0) ),
inference(instantiation,[status(thm)],[c_539]) ).
tcf(c_2753,plain,
meet(c2,b,b),
inference(resolution,[status(thm)],[c_401,c_97]) ).
tcf(c_2899,plain,
! [X0: $i] :
( ~ join(r1,e,a2)
| ~ join(r1,X0,r1)
| ~ meet(e,b2,X0) ),
inference(instantiation,[status(thm)],[c_533]) ).
tcf(c_2900,plain,
( ~ join(r1,e,a2)
| ~ join(r1,n0,r1)
| ~ meet(e,b2,n0) ),
inference(instantiation,[status(thm)],[c_2899]) ).
tcf(c_5176,plain,
! [X0: $i] :
( meet(d,c2,X0)
| ~ meet(r2,a,X0) ),
inference(resolution,[status(thm)],[c_188,c_87]) ).
tcf(c_5230,plain,
meet(d,c2,d),
inference(resolution,[status(thm)],[c_5176,c_87]) ).
tcf(c_5247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( meet(c2,X2,X3)
| ~ join(d,X1,X3)
| ~ join(d,X0,X2)
| ~ meet(X0,c2,X1) ),
inference(resolution,[status(thm)],[c_5230,c_91]) ).
tcf(c_5656,plain,
! [X0: $i] :
( meet(d,e,X0)
| ~ meet(n0,r2,X0) ),
inference(resolution,[status(thm)],[c_286,c_538]) ).
tcf(c_5657,plain,
( meet(d,e,n0)
| ~ meet(n0,r2,n0) ),
inference(instantiation,[status(thm)],[c_5656]) ).
tcf(c_10862,plain,
! [X0: $i] :
( meet(c2,e,X0)
| ~ meet(b,r2,X0) ),
inference(resolution,[status(thm)],[c_2753,c_286]) ).
tcf(c_13402,plain,
! [X0: $i] :
( meet(e,b2,X0)
| ~ meet(b2,e,X0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_13403,plain,
( meet(e,b2,n0)
| ~ meet(b2,e,n0) ),
inference(instantiation,[status(thm)],[c_13402]) ).
tcf(c_15513,plain,
! [X0: $i,X1: $i] :
( meet(c2,X1,X0)
| ~ join(d,r1,X1)
| ~ join(d,n0,X0) ),
inference(resolution,[status(thm)],[c_5247,c_136]) ).
tcf(c_15522,plain,
! [X0: $i] :
( meet(c2,X0,d)
| ~ join(d,r1,X0) ),
inference(resolution,[status(thm)],[c_15513,c_156]) ).
tcf(c_20092,plain,
meet(c2,e,e),
inference(resolution,[status(thm)],[c_10862,c_135]) ).
tcf(c_20108,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,e,X2)
| ~ meet(X1,e,X2)
| ~ meet(X0,c2,X1) ),
inference(resolution,[status(thm)],[c_20092,c_93]) ).
tcf(c_24821,plain,
meet(c2,b2,d),
inference(resolution,[status(thm)],[c_15522,c_152]) ).
tcf(c_24851,plain,
meet(b2,c2,d),
inference(resolution,[status(thm)],[c_24821,c_97]) ).
tcf(c_34361,plain,
! [X0: $i] :
( meet(b2,e,X0)
| ~ meet(d,e,X0) ),
inference(resolution,[status(thm)],[c_20108,c_24851]) ).
tcf(c_34362,plain,
( meet(b2,e,n0)
| ~ meet(d,e,n0) ),
inference(instantiation,[status(thm)],[c_34361]) ).
tcf(c_34363,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_34362,c_13403,c_5657,c_2900,c_540,c_293,c_108,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT005-5 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 19:59:42 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 4.78/2.25 % SZS status Started for theBenchmark.p
% 4.78/2.25 % SZS status Unsatisfiable for theBenchmark.p
% 4.78/2.25
% 4.78/2.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.78/2.25
% 4.78/2.25 % ------ iProver source info
% 4.78/2.25
% 4.78/2.25 % git: date: 2026-07-19 20:42:38 +0200
% 4.78/2.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.78/2.25 % git: non_committed_changes: false
% 4.78/2.25
% 4.78/2.25 % ------ Parsing...% successful
% 4.78/2.25
% 4.78/2.25
% 4.78/2.25 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 4.78/2.25 %
% 4.78/2.25
% 4.78/2.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 4.78/2.25
% 4.78/2.25 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 4.78/2.25 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.78/2.25 % ------ Proving...
% 4.78/2.25 % ------ Problem Properties
% 4.78/2.25
% 4.78/2.25 %
% 4.78/2.25 % clauses 27
% 4.78/2.25 % conjectures 11
% 4.78/2.25 % EPR 27
% 4.78/2.25 % Horn 27
% 4.78/2.25 % unary 17
% 4.78/2.25 % binary 4
% 4.78/2.25 % lits 51
% 4.78/2.25 % lits eq 0
% 4.78/2.25 % fd_pure 0
% 4.78/2.25 % fd_pseudo 0
% 4.78/2.25 % fd_cond 0
% 4.78/2.25 % fd_pseudo_cond 0
% 4.78/2.25 % AC symbols 0
% 4.78/2.25
% 4.78/2.25 % ------ Schedule EPR Horn non eq is on
% 4.78/2.25
% 4.78/2.25 % ------ no equalities: superposition off
% 4.78/2.25
% 4.78/2.25 % ------ Option_epr_horn Time Limit: Unbounded
% 4.78/2.25
% 4.78/2.25
% 4.78/2.25 % ------
% 4.78/2.25 % Current options:
% 4.78/2.25 % ------
% 4.78/2.25
% 4.78/2.25
% 4.78/2.25 %
% 4.78/2.25
% 4.78/2.25 % ------ Proving...
% 4.78/2.25 %
% 4.78/2.25
% 4.78/2.25 % SZS status Unsatisfiable for theBenchmark.p
% 4.78/2.25
% 4.78/2.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.78/2.25
% 4.78/2.25
%------------------------------------------------------------------------------