%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MSC008-2.002 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 02:13:57 PM UTC 2026
% Result : Unsatisfiable 0.70s 1.11s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 3 unt; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 225 ( 92 ~; 133 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 112 ( 0 sgn 112 !; 0 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ eq(p1,p2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1_is_not_p2) ).
fof(f3,axiom,
! [X0,X1] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( eq(X3,X1)
| ~ latin(X0,X3,X2)
| ~ latin(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_is_unique) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( eq(X3,X0)
| ~ latin(X3,X1,X2)
| ~ latin(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_is_unique) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( eq(X3,X1)
| ~ greek(X0,X3,X2)
| ~ greek(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_is_unique) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( eq(X3,X0)
| ~ greek(X3,X1,X2)
| ~ greek(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_is_unique) ).
fof(f11,axiom,
! [X0,X1] :
( latin(X0,p2,X1)
| latin(X0,p1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_required) ).
fof(f12,axiom,
! [X0,X1] :
( latin(p2,X0,X1)
| latin(p1,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_required) ).
fof(f13,axiom,
! [X0,X1] :
( greek(X0,X1,p2)
| greek(X0,X1,p1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_cell_element) ).
fof(f14,axiom,
! [X0,X1] :
( greek(X0,p2,X1)
| greek(X0,p1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_required) ).
fof(f15,axiom,
! [X0,X1] :
( greek(p2,X0,X1)
| greek(p1,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_required) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( eq(X4,X0)
| eq(X5,X1)
| ~ latin(X4,X5,X3)
| ~ greek(X4,X5,X2)
| ~ latin(X0,X1,X3)
| ~ greek(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_same) ).
tcf(c_65,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eq(X4,X1)
| eq(X3,X0)
| ~ greek(X3,X4,X5)
| ~ greek(X0,X1,X5)
| ~ latin(X3,X4,X2)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(X3,X0)
| ~ greek(X3,X1,X2)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(X3,X1)
| ~ greek(X0,X3,X2)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(X3,X0)
| ~ latin(X3,X1,X2)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(X3,X1)
| ~ latin(X0,X3,X2)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_74,plain,
~ eq(p1,p2),
inference(cnf_transformation,[],[f1]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( latin(p2,X0,X1)
| latin(p1,X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( latin(X0,p2,X1)
| latin(X0,p1,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( greek(p2,X0,X1)
| greek(p1,X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( greek(X0,p2,X1)
| greek(X0,p1,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( greek(X0,X1,p2)
| greek(X0,X1,p1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_82,plain,
( greek(p1,p1,p2)
| greek(p1,p1,p1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_84,plain,
( greek(p2,p1,p1)
| greek(p1,p1,p1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_87,plain,
( latin(p2,p1,p1)
| latin(p1,p1,p1) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(p1,p2)
| eq(X2,X0)
| ~ greek(X2,p1,X3)
| ~ greek(X0,p2,X3)
| ~ latin(X2,p1,X1)
| ~ latin(X0,p2,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_169,plain,
( eq(p1,p2)
| ~ eq(p2,p1) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] :
( eq(p1,p2)
| ~ greek(p2,X0,X1)
| ~ greek(p1,X0,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_171,plain,
( eq(p1,p2)
| ~ greek(p2,p1,p1)
| ~ greek(p1,p1,p1) ),
inference(instantiation,[status(thm)],[c_170]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] :
( eq(p1,p2)
| ~ greek(X0,p2,X1)
| ~ greek(X0,p1,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_173,plain,
( eq(p1,p2)
| ~ greek(p1,p2,p1)
| ~ greek(p1,p1,p1) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] :
( eq(p1,p2)
| ~ latin(X0,p2,X1)
| ~ latin(X0,p1,X1) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i] :
( eq(p1,p2)
| ~ greek(p2,p2,X1)
| ~ greek(p1,p1,X1)
| ~ latin(p2,p2,X0)
| ~ latin(p1,p1,X0) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i] :
( eq(p2,p1)
| ~ latin(p2,X0,X1)
| ~ latin(p1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i] :
( eq(p2,p1)
| ~ greek(p2,X0,X1)
| ~ greek(p1,X0,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_195,plain,
( eq(p2,p1)
| ~ greek(p2,p1,p1)
| ~ greek(p1,p1,p1) ),
inference(instantiation,[status(thm)],[c_194]) ).
tcf(c_196,plain,
( eq(p2,p1)
| ~ latin(p2,p1,p1)
| ~ latin(p1,p1,p1) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(p2,p1)
| eq(X2,X0)
| ~ greek(X2,p2,X3)
| ~ greek(X0,p1,X3)
| ~ latin(X2,p2,X1)
| ~ latin(X0,p1,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_201,plain,
! [X0: $i] :
( greek(p2,X0,p2)
| greek(p2,X0,p1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_202,plain,
( greek(p2,p1,p2)
| greek(p2,p1,p1) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_204,plain,
! [X0: $i] :
( greek(p2,p2,X0)
| greek(p2,p1,X0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_205,plain,
( greek(p2,p2,p1)
| greek(p2,p1,p1) ),
inference(instantiation,[status(thm)],[c_204]) ).
tcf(c_207,plain,
! [X0: $i] :
( eq(p1,p2)
| ~ greek(p2,p2,X0)
| ~ greek(p2,p1,X0) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_208,plain,
( eq(p1,p2)
| ~ greek(p2,p2,p1)
| ~ greek(p2,p1,p1) ),
inference(instantiation,[status(thm)],[c_207]) ).
tcf(c_228,plain,
! [X0: $i] :
( latin(p2,p2,X0)
| latin(p2,p1,X0) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_229,plain,
( latin(p2,p2,p1)
| latin(p2,p1,p1) ),
inference(instantiation,[status(thm)],[c_228]) ).
tcf(c_230,plain,
! [X0: $i] :
( eq(p1,p2)
| ~ latin(X0,p2,p1)
| ~ latin(X0,p1,p1) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] :
( eq(p2,p1)
| ~ greek(p2,p2,X1)
| ~ greek(p1,p1,X1)
| ~ latin(p2,p2,X0)
| ~ latin(p1,p1,X0) ),
inference(instantiation,[status(thm)],[c_197]) ).
tcf(c_244,plain,
( eq(p2,p1)
| ~ greek(p2,p2,p1)
| ~ greek(p1,p1,p1)
| ~ latin(p2,p2,p1)
| ~ latin(p1,p1,p1) ),
inference(instantiation,[status(thm)],[c_243]) ).
tcf(c_269,plain,
( greek(p2,p2,p2)
| greek(p2,p2,p1) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_274,plain,
! [X0: $i] :
( eq(p1,p2)
| ~ greek(p2,p2,p2)
| ~ greek(p1,p1,p2)
| ~ latin(p2,p2,X0)
| ~ latin(p1,p1,X0) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_275,plain,
( eq(p1,p2)
| ~ greek(p2,p2,p2)
| ~ greek(p1,p1,p2)
| ~ latin(p2,p2,p1)
| ~ latin(p1,p1,p1) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_332,plain,
( eq(p1,p2)
| ~ latin(p2,p2,p1)
| ~ latin(p2,p1,p1) ),
inference(instantiation,[status(thm)],[c_230]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eq(X0,p2)
| eq(X1,X4)
| latin(p1,X4,X2)
| ~ greek(p2,X4,X3)
| ~ greek(X0,X1,X3)
| ~ latin(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_75,c_65]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(p2,X2)
| eq(X0,p2)
| latin(p1,X2,X3)
| latin(X0,p1,X3)
| ~ greek(p2,X2,X1)
| ~ greek(X0,p2,X1) ),
inference(superposition,[status(thm)],[c_76,c_349]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(p2,X0)
| eq(X2,p2)
| greek(X2,p1,X1)
| latin(p1,X0,X3)
| latin(X2,p1,X3)
| ~ greek(p2,X0,X1) ),
inference(superposition,[status(thm)],[c_79,c_408]) ).
tcf(c_689,plain,
( eq(p2,p1)
| eq(p1,p2)
| greek(p1,p1,p1)
| latin(p1,p1,p1)
| ~ greek(p2,p1,p1) ),
inference(instantiation,[status(thm)],[c_682]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i,X2: $i] :
( eq(p2,X0)
| eq(X1,p2)
| greek(X1,p2,p1)
| latin(p1,X0,X2)
| latin(X1,p1,X2)
| ~ greek(p2,X0,p2) ),
inference(superposition,[status(thm)],[c_80,c_408]) ).
tcf(c_734,plain,
( eq(p2,p1)
| eq(p1,p2)
| greek(p1,p2,p1)
| latin(p1,p1,p1)
| ~ greek(p2,p1,p2) ),
inference(instantiation,[status(thm)],[c_727]) ).
tcf(c_872,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_734,c_689,c_332,c_275,c_269,c_244,c_229,c_208,c_205,c_202,c_196,c_195,c_173,c_171,c_169,c_87,c_84,c_82,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC008-2.002 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 01:27:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running EPR theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 0.70/1.11 % SZS status Started for theBenchmark.p
% 0.70/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.70/1.11
% 0.70/1.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.70/1.11
% 0.70/1.11 % ------ iProver source info
% 0.70/1.11
% 0.70/1.11 % git: date: 2026-07-19 20:42:38 +0200
% 0.70/1.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.70/1.11 % git: non_committed_changes: false
% 0.70/1.11
% 0.70/1.11 % ------ Parsing...% successful
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.70/1.11 %
% 0.70/1.11
% 0.70/1.11 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.70/1.11
% 0.70/1.11 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.70/1.11 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.70/1.11 % ------ Proving...
% 0.70/1.11 % ------ Problem Properties
% 0.70/1.11
% 0.70/1.11 %
% 0.70/1.11 % clauses 16
% 0.70/1.11 % conjectures 1
% 0.70/1.11 % EPR 16
% 0.70/1.11 % Horn 9
% 0.70/1.11 % unary 2
% 0.70/1.11 % binary 7
% 0.70/1.11 % lits 40
% 0.70/1.11 % lits eq 0
% 0.70/1.11 % fd_pure 0
% 0.70/1.11 % fd_pseudo 0
% 0.70/1.11 % fd_cond 0
% 0.70/1.11 % fd_pseudo_cond 0
% 0.70/1.11 % AC symbols 0
% 0.70/1.11
% 0.70/1.11 % ------ Schedule EPR non Horn non eq is on
% 0.70/1.11
% 0.70/1.11 % ------ no equalities: superposition off
% 0.70/1.11
% 0.70/1.11 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 % ------
% 0.70/1.11 % Current options:
% 0.70/1.11 % ------
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 %
% 0.70/1.11
% 0.70/1.11 % ------ Proving...
% 0.70/1.11 %
% 0.70/1.11
% 0.70/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.70/1.11
% 0.70/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.70/1.11
% 0.70/1.11
%------------------------------------------------------------------------------