%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% 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 01:58:04 PM UTC 2026
% Result : Unsatisfiable 7.37s 1.68s
% Output : CNFRefutation 7.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 91 ( 45 unt; 0 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 172 ( 87 ~; 85 |; 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 : 126 ( 0 sgn 126 !; 0 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : join(X0,n0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_x_and_0) ).
fof(f6,axiom,
! [X0] : meet(n0,X0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_0_and_x) ).
fof(f7,axiom,
! [X0] : meet(X0,n0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_x_and_0) ).
fof(f11,axiom,
! [X2,X0,X1] :
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f12,axiom,
! [X2,X0,X1] :
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f13,axiom,
! [X2,X0,X1] :
( join(X0,X2,X0)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion1) ).
fof(f14,axiom,
! [X2,X0,X1] :
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion2) ).
fof(f15,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/sandbox2/benchmark/theBenchmark.p',associativity_of_meet1) ).
fof(f16,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/sandbox2/benchmark/theBenchmark.p',associativity_of_meet2) ).
fof(f17,axiom,
! [X2,X3,X0,X1,X4,X5] :
( join(X2,X3,X5)
| ~ join(X0,X4,X5)
| ~ join(X1,X3,X4)
| ~ join(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join1) ).
fof(f20,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/sandbox2/benchmark/theBenchmark.p',modularity2) ).
fof(f21,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a2_and_b2) ).
fof(f22,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a_and_b) ).
fof(f24,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c_and_r2) ).
fof(f25,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_b) ).
fof(f26,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_a_and_b) ).
fof(f28,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c2_and_r1) ).
fof(f29,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_a) ).
fof(f30,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_e) ).
fof(f31,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_d) ).
tcf(c_84,plain,
! [X0: $i] : join(X0,n0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_85,plain,
! [X0: $i] : meet(n0,X0,n0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_86,plain,
! [X0: $i] : meet(X0,n0,n0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( join(X0,X2,X0)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f14]) ).
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,[],[f15]) ).
tcf(c_95,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,[],[f16]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( join(X4,X1,X5)
| ~ join(X3,X2,X5)
| ~ join(X3,X0,X4)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( meet(X5,X2,X4)
| ~ meet(X1,X5,X3)
| ~ meet(X0,X5,X0)
| ~ join(X0,X3,X4)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_100,negated_conjecture,
~ meet(a2,b2,r1),
inference(cnf_transformation,[],[f21]) ).
tcf(c_101,negated_conjecture,
meet(a,b,c),
inference(cnf_transformation,[],[f22]) ).
tcf(c_103,negated_conjecture,
meet(c,r2,n0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_104,negated_conjecture,
meet(r2,b,e),
inference(cnf_transformation,[],[f25]) ).
tcf(c_105,negated_conjecture,
join(a,b,c2),
inference(cnf_transformation,[],[f26]) ).
tcf(c_107,negated_conjecture,
meet(c2,r1,n0),
inference(cnf_transformation,[],[f28]) ).
tcf(c_108,negated_conjecture,
meet(r2,a,d),
inference(cnf_transformation,[],[f29]) ).
tcf(c_109,negated_conjecture,
join(r1,e,a2),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,negated_conjecture,
join(r1,d,b2),
inference(cnf_transformation,[],[f31]) ).
tcf(c_123,plain,
meet(r2,c,n0),
inference(superposition,[status(thm)],[c_103,c_90]) ).
tcf(c_124,plain,
meet(b,r2,e),
inference(superposition,[status(thm)],[c_104,c_90]) ).
tcf(c_125,plain,
meet(r1,c2,n0),
inference(superposition,[status(thm)],[c_107,c_90]) ).
tcf(c_126,plain,
meet(a,r2,d),
inference(superposition,[status(thm)],[c_108,c_90]) ).
tcf(c_141,plain,
join(e,r1,a2),
inference(superposition,[status(thm)],[c_109,c_91]) ).
tcf(c_157,plain,
join(b,e,b),
inference(superposition,[status(thm)],[c_124,c_92]) ).
tcf(c_167,plain,
meet(a,c2,a),
inference(superposition,[status(thm)],[c_105,c_93]) ).
tcf(c_169,plain,
meet(r1,a2,r1),
inference(superposition,[status(thm)],[c_109,c_93]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,b,X2)
| ~ meet(X0,c,X2)
| ~ meet(X0,a,X1) ),
inference(superposition,[status(thm)],[c_101,c_94]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X2,r2,X1)
| ~ meet(X0,c,X2)
| ~ meet(X0,n0,X1) ),
inference(superposition,[status(thm)],[c_103,c_94]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,b,X2)
| ~ meet(X0,e,X2)
| ~ meet(X0,r2,X1) ),
inference(superposition,[status(thm)],[c_104,c_94]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X1,a,X2)
| ~ meet(X0,d,X2)
| ~ meet(X0,r2,X1) ),
inference(superposition,[status(thm)],[c_108,c_94]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(a2,b2,r1)
| ~ meet(X1,a2,X2)
| ~ meet(X0,a2,X0)
| ~ join(X0,X2,r1)
| ~ join(X0,X1,b2) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_252,plain,
meet(c2,a,a),
inference(superposition,[status(thm)],[c_167,c_90]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,c,X2)
| ~ meet(X1,b,X2)
| ~ meet(X0,a,X1) ),
inference(superposition,[status(thm)],[c_101,c_95]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,e,X2)
| ~ meet(X1,b,X2)
| ~ meet(X0,r2,X1) ),
inference(superposition,[status(thm)],[c_104,c_95]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,d,X2)
| ~ meet(X1,r2,X2)
| ~ meet(X0,a,X1) ),
inference(superposition,[status(thm)],[c_126,c_95]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i] :
( meet(X0,a2,X1)
| ~ meet(a2,X0,X1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_449,plain,
! [X0: $i] :
( meet(a2,b2,r1)
| ~ meet(r1,a2,r1)
| ~ join(r1,n0,r1)
| ~ meet(X0,a2,n0)
| ~ join(r1,X0,b2) ),
inference(instantiation,[status(thm)],[c_207]) ).
tcf(c_450,plain,
join(r1,n0,r1),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i,X2: $i] :
( join(X1,e,X2)
| ~ join(X0,b,X2)
| ~ join(X0,b,X1) ),
inference(superposition,[status(thm)],[c_157,c_96]) ).
tcf(c_556,plain,
! [X0: $i] :
( meet(d,b,X0)
| ~ meet(r2,c,X0) ),
inference(superposition,[status(thm)],[c_108,c_180]) ).
tcf(c_589,plain,
meet(d,b,n0),
inference(superposition,[status(thm)],[c_123,c_556]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i] :
( meet(X1,r2,n0)
| ~ meet(X0,c,X1) ),
inference(superposition,[status(thm)],[c_86,c_181]) ).
tcf(c_598,plain,
( meet(n0,r2,n0)
| ~ meet(n0,c,n0) ),
inference(instantiation,[status(thm)],[c_594]) ).
tcf(c_621,plain,
! [X0: $i] :
( meet(n0,b,X0)
| ~ meet(c,e,X0) ),
inference(superposition,[status(thm)],[c_103,c_182]) ).
tcf(c_625,plain,
( meet(n0,b,n0)
| ~ meet(c,e,n0) ),
inference(instantiation,[status(thm)],[c_621]) ).
tcf(c_698,plain,
! [X0: $i] :
( meet(e,a,X0)
| ~ meet(b,d,X0) ),
inference(superposition,[status(thm)],[c_124,c_184]) ).
tcf(c_754,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X2,a2,X1)
| ~ meet(e,X2,e)
| ~ meet(r1,X2,X0)
| ~ join(e,X0,X1) ),
inference(superposition,[status(thm)],[c_141,c_99]) ).
tcf(c_917,plain,
! [X0: $i,X1: $i,X2: $i] :
( meet(X0,a,X2)
| ~ meet(X1,a,X2)
| ~ meet(X0,c2,X1) ),
inference(superposition,[status(thm)],[c_252,c_95]) ).
tcf(c_987,plain,
! [X0: $i] :
( meet(n0,c,X0)
| ~ meet(n0,b,X0) ),
inference(superposition,[status(thm)],[c_85,c_273]) ).
tcf(c_997,plain,
( meet(n0,c,n0)
| ~ meet(n0,b,n0) ),
inference(instantiation,[status(thm)],[c_987]) ).
tcf(c_1048,plain,
! [X0: $i] :
( meet(c,e,X0)
| ~ meet(n0,b,X0) ),
inference(superposition,[status(thm)],[c_103,c_275]) ).
tcf(c_1115,plain,
meet(c,e,n0),
inference(superposition,[status(thm)],[c_85,c_1048]) ).
tcf(c_1294,plain,
meet(b,d,n0),
inference(superposition,[status(thm)],[c_589,c_90]) ).
tcf(c_1557,plain,
( meet(a2,b2,r1)
| ~ meet(d,a2,n0)
| ~ meet(r1,a2,r1)
| ~ join(r1,d,b2)
| ~ join(r1,n0,r1) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_4346,plain,
meet(e,a,n0),
inference(superposition,[status(thm)],[c_1294,c_698]) ).
tcf(c_5229,plain,
( meet(d,a2,n0)
| ~ meet(a2,d,n0) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_8091,plain,
! [X0: $i] :
( join(c2,e,X0)
| ~ join(a,b,X0) ),
inference(superposition,[status(thm)],[c_105,c_471]) ).
tcf(c_8165,plain,
join(c2,e,c2),
inference(superposition,[status(thm)],[c_105,c_8091]) ).
tcf(c_8180,plain,
join(e,c2,c2),
inference(superposition,[status(thm)],[c_8165,c_91]) ).
tcf(c_8325,plain,
meet(e,c2,e),
inference(superposition,[status(thm)],[c_8180,c_93]) ).
tcf(c_14664,plain,
! [X0: $i] :
( meet(c2,a2,X0)
| ~ meet(e,c2,e)
| ~ join(e,n0,X0) ),
inference(superposition,[status(thm)],[c_125,c_754]) ).
tcf(c_14675,plain,
! [X0: $i] :
( meet(c2,a2,X0)
| ~ join(e,n0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14664,c_8325]) ).
tcf(c_21056,plain,
meet(c2,a2,e),
inference(superposition,[status(thm)],[c_84,c_14675]) ).
tcf(c_21136,plain,
meet(a2,c2,e),
inference(superposition,[status(thm)],[c_21056,c_90]) ).
tcf(c_24935,plain,
! [X0: $i] :
( meet(a2,a,X0)
| ~ meet(e,a,X0) ),
inference(superposition,[status(thm)],[c_21136,c_917]) ).
tcf(c_27849,plain,
meet(a2,a,n0),
inference(superposition,[status(thm)],[c_4346,c_24935]) ).
tcf(c_27862,plain,
! [X0: $i] :
( meet(a2,d,X0)
| ~ meet(n0,r2,X0) ),
inference(superposition,[status(thm)],[c_27849,c_282]) ).
tcf(c_27870,plain,
( meet(a2,d,n0)
| ~ meet(n0,r2,n0) ),
inference(instantiation,[status(thm)],[c_27862]) ).
tcf(c_27871,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_27870,c_5229,c_1557,c_1115,c_997,c_625,c_598,c_450,c_169,c_100,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n003.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 20:00:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running EPR theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 7.37/1.68 % SZS status Started for theBenchmark.p
% 7.37/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.37/1.68
% 7.37/1.68 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.37/1.68
% 7.37/1.68 % ------ iProver source info
% 7.37/1.68
% 7.37/1.68 % git: date: 2026-07-19 20:42:38 +0200
% 7.37/1.68 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.37/1.68 % git: non_committed_changes: false
% 7.37/1.68
% 7.37/1.68 % ------ Parsing...% successful
% 7.37/1.68
% 7.37/1.68
% 7.37/1.68 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.37/1.68 % ------ Proving...
% 7.37/1.68 % ------ Problem Properties
% 7.37/1.68
% 7.37/1.68 %
% 7.37/1.68 % clauses 31
% 7.37/1.68 % conjectures 11
% 7.37/1.68 % EPR 31
% 7.37/1.68 % Horn 31
% 7.37/1.68 % unary 21
% 7.37/1.68 % binary 4
% 7.37/1.68 % lits 55
% 7.37/1.68 % lits eq 0
% 7.37/1.68 % fd_pure 0
% 7.37/1.68 % fd_pseudo 0
% 7.37/1.68 % fd_cond 0
% 7.37/1.68 % fd_pseudo_cond 0
% 7.37/1.68 % AC symbols 0
% 7.37/1.68
% 7.37/1.68 % ------ Input Options Time Limit: Unbounded
% 7.37/1.68
% 7.37/1.68
% 7.37/1.68 % ------
% 7.37/1.68 % Current options:
% 7.37/1.68 % ------
% 7.37/1.68
% 7.37/1.68
% 7.37/1.68 %
% 7.37/1.68
% 7.37/1.68 % ------ Proving...
% 7.37/1.68 %
% 7.37/1.68
% 7.37/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.37/1.68
% 7.37/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.37/1.68
% 7.37/1.68
%------------------------------------------------------------------------------