%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MSC008-1.002 : 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 0.93s 1.10s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 66 ( 3 unt; 0 def)
% Number of atoms : 188 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 217 ( 95 ~; 122 |; 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 : 109 ( 0 sgn 109 !; 0 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ eq(p_1,p_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1_is_not_p_2) ).
fof(f3,axiom,
! [X0,X1] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( eq(X2,X3)
| ~ latin(X0,X1,X3)
| ~ latin(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_element_is_unique) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( eq(X0,X3)
| ~ latin(X3,X1,X2)
| ~ latin(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_is_unique) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( eq(X2,X3)
| ~ greek(X0,X1,X3)
| ~ greek(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_element_is_unique) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( eq(X1,X3)
| ~ greek(X0,X3,X2)
| ~ greek(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_is_unique) ).
fof(f10,axiom,
! [X0,X1] :
( latin(X0,X1,p_2)
| latin(X0,X1,p_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_cell_element) ).
fof(f11,axiom,
! [X0,X1] :
( latin(X0,p_2,X1)
| latin(X0,p_1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_required) ).
fof(f12,axiom,
! [X0,X1] :
( latin(p_2,X0,X1)
| latin(p_1,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_required) ).
fof(f13,axiom,
! [X0,X1] :
( greek(X0,X1,p_2)
| greek(X0,X1,p_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_cell_element) ).
fof(f14,axiom,
! [X0,X1] :
( greek(X0,p_2,X1)
| greek(X0,p_1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_required) ).
fof(f15,axiom,
! [X0,X1] :
( greek(p_2,X0,X1)
| greek(p_1,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_required) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( eq(X1,X5)
| ~ 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_same1) ).
tcf(c_66,plain,
~ eq(p_1,p_2),
inference(cnf_transformation,[],[f1]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(X2,X3)
| ~ latin(X0,X1,X3)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(X0,X3)
| ~ latin(X3,X1,X2)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(X2,X3)
| ~ greek(X0,X1,X3)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(X1,X3)
| ~ greek(X0,X3,X2)
| ~ greek(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( latin(X0,X1,p_2)
| latin(X0,X1,p_1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( latin(X0,p_2,X1)
| latin(X0,p_1,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( latin(p_2,X0,X1)
| latin(p_1,X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( greek(X0,X1,p_2)
| greek(X0,X1,p_1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( greek(X0,p_2,X1)
| greek(X0,p_1,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( greek(p_2,X0,X1)
| greek(p_1,X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_81,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eq(X1,X4)
| ~ greek(X3,X4,X5)
| ~ greek(X0,X1,X5)
| ~ latin(X3,X4,X2)
| ~ latin(X0,X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_84,plain,
( greek(p_2,p_1,p_1)
| greek(p_1,p_1,p_1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_87,plain,
( latin(p_2,p_1,p_1)
| latin(p_1,p_1,p_1) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(p_1,p_2)
| ~ greek(X2,p_2,X3)
| ~ greek(X0,p_1,X3)
| ~ latin(X2,p_2,X1)
| ~ latin(X0,p_1,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_182,plain,
( eq(p_1,p_2)
| ~ eq(p_2,p_1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i] :
( eq(p_1,p_2)
| ~ latin(p_2,X0,X1)
| ~ latin(p_1,X0,X1) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] :
( eq(p_1,p_2)
| ~ greek(X0,X1,p_2)
| ~ greek(X0,X1,p_1) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] :
( eq(p_1,p_2)
| ~ greek(X0,p_2,X1)
| ~ greek(X0,p_1,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_196,plain,
! [X0: $i] :
( greek(p_2,X0,p_2)
| greek(p_2,X0,p_1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_199,plain,
! [X0: $i] :
( greek(p_2,p_2,X0)
| greek(p_2,p_1,X0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_200,plain,
( greek(p_2,p_2,p_1)
| greek(p_2,p_1,p_1) ),
inference(instantiation,[status(thm)],[c_199]) ).
tcf(c_205,plain,
! [X0: $i] :
( greek(p_2,p_2,X0)
| greek(p_1,p_2,X0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_206,plain,
( greek(p_2,p_2,p_1)
| greek(p_1,p_2,p_1) ),
inference(instantiation,[status(thm)],[c_205]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] :
( eq(p_2,p_1)
| ~ latin(X0,X1,p_2)
| ~ latin(X0,X1,p_1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_210,plain,
( eq(p_2,p_1)
| ~ latin(p_1,p_1,p_2)
| ~ latin(p_1,p_1,p_1) ),
inference(instantiation,[status(thm)],[c_209]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(p_2,p_1)
| ~ greek(X2,p_1,X3)
| ~ greek(X0,p_2,X3)
| ~ latin(X2,p_1,X1)
| ~ latin(X0,p_2,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_224,plain,
! [X0: $i] :
( latin(X0,p_2,p_2)
| latin(X0,p_1,p_2) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_225,plain,
( latin(p_1,p_2,p_2)
| latin(p_1,p_1,p_2) ),
inference(instantiation,[status(thm)],[c_224]) ).
tcf(c_227,plain,
! [X0: $i] :
( latin(p_2,X0,p_2)
| latin(p_1,X0,p_2) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_230,plain,
! [X0: $i] :
( latin(X0,p_2,p_2)
| latin(X0,p_2,p_1) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_231,plain,
( latin(p_1,p_2,p_2)
| latin(p_1,p_2,p_1) ),
inference(instantiation,[status(thm)],[c_230]) ).
tcf(c_242,plain,
! [X0: $i] :
( eq(p_1,p_2)
| ~ greek(X0,p_2,p_2)
| ~ greek(X0,p_2,p_1) ),
inference(instantiation,[status(thm)],[c_189]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i,X2: $i] :
( eq(p_1,p_2)
| ~ greek(p_2,p_1,X2)
| ~ latin(p_2,p_1,X1)
| ~ greek(X0,p_2,X2)
| ~ latin(X0,p_2,X1) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_275,plain,
( eq(p_1,p_2)
| ~ greek(p_2,p_2,p_1)
| ~ greek(p_2,p_1,p_1) ),
inference(instantiation,[status(thm)],[c_191]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i,X2: $i] :
( eq(p_2,p_1)
| ~ greek(p_2,p_1,X2)
| ~ latin(p_2,p_1,X1)
| ~ greek(X0,p_2,X2)
| ~ latin(X0,p_2,X1) ),
inference(instantiation,[status(thm)],[c_222]) ).
tcf(c_284,plain,
( eq(p_2,p_1)
| ~ greek(p_2,p_1,p_1)
| ~ greek(p_1,p_2,p_1)
| ~ latin(p_2,p_1,p_1)
| ~ latin(p_1,p_2,p_1) ),
inference(instantiation,[status(thm)],[c_283]) ).
tcf(c_350,plain,
( latin(p_2,p_2,p_2)
| latin(p_2,p_1,p_2) ),
inference(instantiation,[status(thm)],[c_224]) ).
tcf(c_352,plain,
( eq(p_1,p_2)
| ~ latin(p_2,p_2,p_2)
| ~ latin(p_1,p_2,p_2) ),
inference(instantiation,[status(thm)],[c_187]) ).
tcf(c_353,plain,
! [X0: $i,X1: $i] :
( eq(p_1,p_2)
| ~ latin(p_2,p_1,p_2)
| ~ greek(p_2,p_1,X1)
| ~ latin(X0,p_2,p_2)
| ~ greek(X0,p_2,X1) ),
inference(instantiation,[status(thm)],[c_256]) ).
tcf(c_356,plain,
( eq(p_1,p_2)
| ~ greek(p_2,p_1,p_1)
| ~ greek(p_1,p_2,p_1)
| ~ latin(p_2,p_1,p_2)
| ~ latin(p_1,p_2,p_2) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i,X2: $i] :
( eq(p_1,p_2)
| ~ latin(X2,p_2,p_2)
| ~ latin(X0,p_1,p_2)
| ~ greek(X2,p_2,X1)
| ~ greek(X0,p_1,X1) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_643,plain,
( eq(p_1,p_2)
| ~ greek(p_2,p_2,p_2)
| ~ greek(p_2,p_2,p_1) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_810,plain,
( greek(p_2,p_2,p_2)
| greek(p_2,p_2,p_1) ),
inference(instantiation,[status(thm)],[c_196]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i] :
( eq(p_1,p_2)
| ~ latin(p_2,p_2,p_2)
| ~ greek(p_2,p_2,X1)
| ~ latin(X0,p_1,p_2)
| ~ greek(X0,p_1,X1) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_956,plain,
( latin(p_2,p_2,p_2)
| latin(p_1,p_2,p_2) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_957,plain,
( eq(p_1,p_2)
| ~ greek(p_2,p_2,p_1)
| ~ greek(p_1,p_1,p_1)
| ~ latin(p_2,p_2,p_2)
| ~ latin(p_1,p_1,p_2) ),
inference(instantiation,[status(thm)],[c_954]) ).
tcf(c_1051,plain,
( greek(p_2,p_2,p_2)
| greek(p_2,p_1,p_2) ),
inference(instantiation,[status(thm)],[c_199]) ).
tcf(c_1052,plain,
( greek(p_2,p_2,p_2)
| greek(p_1,p_2,p_2) ),
inference(instantiation,[status(thm)],[c_205]) ).
tcf(c_1285,plain,
! [X0: $i] :
( eq(p_1,p_2)
| ~ greek(p_2,p_1,p_2)
| ~ latin(p_2,p_1,p_2)
| ~ greek(X0,p_2,p_2)
| ~ latin(X0,p_2,p_2) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_1286,plain,
( eq(p_1,p_2)
| ~ greek(p_2,p_1,p_2)
| ~ greek(p_1,p_2,p_2)
| ~ latin(p_2,p_1,p_2)
| ~ latin(p_1,p_2,p_2) ),
inference(instantiation,[status(thm)],[c_1285]) ).
tcf(c_1462,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1286,c_1051,c_1052,c_956,c_957,c_810,c_643,c_356,c_352,c_350,c_284,c_275,c_231,c_225,c_210,c_206,c_200,c_182,c_87,c_84,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 01:27:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running EPR theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 0.93/1.10 % SZS status Started for theBenchmark.p
% 0.93/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 0.93/1.10
% 0.93/1.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.93/1.10
% 0.93/1.10 % ------ iProver source info
% 0.93/1.10
% 0.93/1.10 % git: date: 2026-07-19 20:42:38 +0200
% 0.93/1.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.93/1.10 % git: non_committed_changes: false
% 0.93/1.10
% 0.93/1.10 % ------ Parsing...% successful
% 0.93/1.10
% 0.93/1.10
% 0.93/1.10 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.93/1.10 %
% 0.93/1.10
% 0.93/1.10 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.93/1.10
% 0.93/1.10 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.93/1.10 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.93/1.10 % ------ Proving...
% 0.93/1.10 % ------ Problem Properties
% 0.93/1.10
% 0.93/1.10 %
% 0.93/1.10 % clauses 17
% 0.93/1.10 % conjectures 2
% 0.93/1.10 % EPR 17
% 0.93/1.10 % Horn 11
% 0.93/1.10 % unary 2
% 0.93/1.10 % binary 7
% 0.93/1.10 % lits 44
% 0.93/1.10 % lits eq 0
% 0.93/1.10 % fd_pure 0
% 0.93/1.10 % fd_pseudo 0
% 0.93/1.10 % fd_cond 0
% 0.93/1.10 % fd_pseudo_cond 0
% 0.93/1.10 % AC symbols 0
% 0.93/1.10
% 0.93/1.10 % ------ Schedule EPR non Horn non eq is on
% 0.93/1.10
% 0.93/1.10 % ------ no equalities: superposition off
% 0.93/1.10
% 0.93/1.10 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.93/1.10
% 0.93/1.10
% 0.93/1.10 % ------
% 0.93/1.10 % Current options:
% 0.93/1.10 % ------
% 0.93/1.10
% 0.93/1.10
% 0.93/1.10 %
% 0.93/1.10
% 0.93/1.10 % ------ Proving...
% 0.93/1.10 %
% 0.93/1.10
% 0.93/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 0.93/1.10
% 0.93/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.93/1.10
% 0.93/1.10
%------------------------------------------------------------------------------