%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT009-1 : TPTP v9.3.1. Released v2.4.0.
% 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 02:12:19 PM UTC 2026
% Result : Unsatisfiable 1.84s 6.28s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 46 ( 25 unt; 0 def)
% Number of atoms : 203 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 316 ( 159 ~; 157 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 76 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_1) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( greater(X5,X4)
| ~ greater(X7,X6)
| ~ inertia(X2,X7,X3)
| ~ inertia(X0,X6,X1)
| ~ reproducibility(X2,X5,X3)
| ~ reproducibility(X0,X4,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_FOL_3) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X8,X7)
| ~ greater(X6,X5)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ size(X2,X6,X3)
| ~ size(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL_4) ).
fof(f5,negated_conjecture,
organization(sk2,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_5) ).
fof(f6,negated_conjecture,
organization(sk3,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_6) ).
fof(f7,negated_conjecture,
reorganization_free(sk2,sk9,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_7) ).
fof(f8,negated_conjecture,
reorganization_free(sk3,sk10,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_8) ).
fof(f9,negated_conjecture,
class(sk2,sk4,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_9) ).
fof(f10,negated_conjecture,
class(sk3,sk4,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_10) ).
fof(f11,negated_conjecture,
reproducibility(sk2,sk5,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_11) ).
fof(f12,negated_conjecture,
reproducibility(sk3,sk6,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_12) ).
fof(f13,negated_conjecture,
size(sk2,sk7,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_13) ).
fof(f14,negated_conjecture,
size(sk3,sk8,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_14) ).
fof(f15,negated_conjecture,
greater(sk8,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_15) ).
fof(f16,negated_conjecture,
~ greater(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_16) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( greater(X7,X6)
| ~ greater(X4,X1)
| ~ organization(X3,X5)
| ~ organization(X0,X2)
| ~ reproducibility(X3,X7,X5)
| ~ reproducibility(X0,X6,X2)
| ~ reorganization_free(X3,X5,X5)
| ~ reorganization_free(X0,X2,X2)
| ~ inertia(X3,X4,X5)
| ~ inertia(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( greater(X4,X1)
| ~ greater(X8,X7)
| ~ organization(X3,X5)
| ~ organization(X0,X2)
| ~ size(X3,X8,X5)
| ~ size(X0,X7,X2)
| ~ class(X3,X6,X5)
| ~ class(X0,X6,X2)
| ~ inertia(X3,X4,X5)
| ~ inertia(X0,X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_69,negated_conjecture,
organization(sk2,sk9),
inference(cnf_transformation,[],[f5]) ).
tcf(c_70,negated_conjecture,
organization(sk3,sk10),
inference(cnf_transformation,[],[f6]) ).
tcf(c_71,negated_conjecture,
reorganization_free(sk2,sk9,sk9),
inference(cnf_transformation,[],[f7]) ).
tcf(c_72,negated_conjecture,
reorganization_free(sk3,sk10,sk10),
inference(cnf_transformation,[],[f8]) ).
tcf(c_73,negated_conjecture,
class(sk2,sk4,sk9),
inference(cnf_transformation,[],[f9]) ).
tcf(c_74,negated_conjecture,
class(sk3,sk4,sk10),
inference(cnf_transformation,[],[f10]) ).
tcf(c_75,negated_conjecture,
reproducibility(sk2,sk5,sk9),
inference(cnf_transformation,[],[f11]) ).
tcf(c_76,negated_conjecture,
reproducibility(sk3,sk6,sk10),
inference(cnf_transformation,[],[f12]) ).
tcf(c_77,negated_conjecture,
size(sk2,sk7,sk9),
inference(cnf_transformation,[],[f13]) ).
tcf(c_78,negated_conjecture,
size(sk3,sk8,sk10),
inference(cnf_transformation,[],[f14]) ).
tcf(c_79,negated_conjecture,
greater(sk8,sk7),
inference(cnf_transformation,[],[f15]) ).
tcf(c_80,negated_conjecture,
~ greater(sk6,sk5),
inference(cnf_transformation,[],[f16]) ).
tcf(c_182,plain,
( inertia(sk2,sk1(sk9,sk2),sk9)
| ~ organization(sk2,sk9) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_183,plain,
( inertia(sk3,sk1(sk10,sk3),sk10)
| ~ organization(sk3,sk10) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( greater(X3,X5)
| ~ organization(sk2,sk9)
| ~ greater(X1,X4)
| ~ organization(X0,X2)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ reproducibility(sk2,X5,sk9)
| ~ inertia(sk2,X4,sk9)
| ~ reproducibility(X0,X3,X2)
| ~ reorganization_free(X0,X2,X2)
| ~ inertia(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( greater(X1,X5)
| ~ organization(sk2,sk9)
| ~ greater(X4,X6)
| ~ organization(X0,X2)
| ~ size(sk2,X6,sk9)
| ~ class(sk2,X3,sk9)
| ~ inertia(sk2,X5,sk9)
| ~ size(X0,X4,X2)
| ~ class(X0,X3,X2)
| ~ inertia(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(X3,X2)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ greater(X1,X0)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ reproducibility(sk3,X3,sk10)
| ~ reproducibility(sk2,X2,sk9)
| ~ inertia(sk3,X1,sk10)
| ~ inertia(sk2,X0,sk9) ),
inference(instantiation,[status(thm)],[c_186]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( greater(X1,X0)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ greater(X4,X3)
| ~ size(sk3,X4,sk10)
| ~ size(sk2,X3,sk9)
| ~ class(sk3,X2,sk10)
| ~ class(sk2,X2,sk9)
| ~ inertia(sk3,X1,sk10)
| ~ inertia(sk2,X0,sk9) ),
inference(instantiation,[status(thm)],[c_188]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X2,X1)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ reproducibility(sk3,X2,sk10)
| ~ reproducibility(sk2,X1,sk9)
| ~ inertia(sk3,X0,sk10)
| ~ greater(X0,sk1(sk9,sk2))
| ~ inertia(sk2,sk1(sk9,sk2),sk9) ),
inference(instantiation,[status(thm)],[c_195]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(X0,sk1(sk9,sk2))
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ greater(X3,X2)
| ~ size(sk3,X3,sk10)
| ~ size(sk2,X2,sk9)
| ~ class(sk3,X1,sk10)
| ~ class(sk2,X1,sk9)
| ~ inertia(sk3,X0,sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9) ),
inference(instantiation,[status(thm)],[c_199]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ reproducibility(sk3,X1,sk10)
| ~ reproducibility(sk2,X0,sk9)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(instantiation,[status(thm)],[c_212]) ).
tcf(c_232,plain,
! [X0: $i] :
( greater(X0,sk5)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ reproducibility(sk2,sk5,sk9)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ reproducibility(sk3,X0,sk10)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(instantiation,[status(thm)],[c_224]) ).
tcf(c_238,plain,
( greater(sk6,sk5)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ reproducibility(sk3,sk6,sk10)
| ~ reproducibility(sk2,sk5,sk9)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ greater(X2,X1)
| ~ size(sk3,X2,sk10)
| ~ size(sk2,X1,sk9)
| ~ class(sk3,X0,sk10)
| ~ class(sk2,X0,sk9)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9) ),
inference(instantiation,[status(thm)],[c_220]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i] :
( greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ greater(X1,X0)
| ~ class(sk3,sk4,sk10)
| ~ class(sk2,sk4,sk9)
| ~ size(sk3,X1,sk10)
| ~ size(sk2,X0,sk9)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_252,plain,
! [X0: $i] :
( greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ greater(X0,sk7)
| ~ size(sk2,sk7,sk9)
| ~ class(sk3,sk4,sk10)
| ~ class(sk2,sk4,sk9)
| ~ size(sk3,X0,sk10)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_262,plain,
( greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ greater(sk8,sk7)
| ~ organization(sk3,sk10)
| ~ organization(sk2,sk9)
| ~ size(sk3,sk8,sk10)
| ~ size(sk2,sk7,sk9)
| ~ class(sk3,sk4,sk10)
| ~ class(sk2,sk4,sk9)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_263,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_262,c_238,c_183,c_182,c_71,c_72,c_73,c_74,c_75,c_76,c_77,c_78,c_80,c_69,c_70,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT009-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 00:58:39 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.84/6.28 % SZS status Started for theBenchmark.p
% 1.84/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.84/6.28
% 1.84/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.84/6.28
% 1.84/6.28 % ------ iProver source info
% 1.84/6.28
% 1.84/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.84/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.84/6.28 % git: non_committed_changes: false
% 1.84/6.28
% 1.84/6.28 % ------ Parsing...% successful
% 1.84/6.28
% 1.84/6.28
% 1.84/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.84/6.28
% 1.84/6.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.84/6.28
% 1.84/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.84/6.28 % ------ Proving...
% 1.84/6.28 % ------ Problem Properties
% 1.84/6.28
% 1.84/6.28 %
% 1.84/6.28 % clauses 16
% 1.84/6.28 % conjectures 12
% 1.84/6.28 % EPR 15
% 1.84/6.28 % Horn 16
% 1.84/6.28 % unary 12
% 1.84/6.28 % binary 1
% 1.84/6.28 % lits 44
% 1.84/6.28 % lits eq 0
% 1.84/6.28 % fd_pure 0
% 1.84/6.28 % fd_pseudo 0
% 1.84/6.28 % fd_cond 0
% 1.84/6.28 % fd_pseudo_cond 0
% 1.84/6.28 % AC symbols 0
% 1.84/6.28
% 1.84/6.28 % ------ Schedule dynamic 5 is on
% 1.84/6.28
% 1.84/6.28 % ------ no equalities: superposition off
% 1.84/6.28
% 1.84/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.84/6.28
% 1.84/6.28
% 1.84/6.28 % ------
% 1.84/6.28 % Current options:
% 1.84/6.28 % ------
% 1.84/6.28
% 1.84/6.28
% 1.84/6.28 %
% 1.84/6.28
% 1.84/6.28 % ------ Proving...
% 1.84/6.28 %
% 1.84/6.28
% 1.84/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.84/6.28
% 1.84/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.84/6.28
% 1.84/6.28
%------------------------------------------------------------------------------