%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT044+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 : n006.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 02:12:54 PM UTC 2026
% Result : Theorem 2.11s 1.28s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 16 unt; 4 def)
% Number of atoms : 161 ( 29 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 151 ( 64 ~; 58 |; 19 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 89 !; 6 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f7,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( internal_friction(X0,X2) = internal_friction(X0,X1)
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) )
& ( ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
& smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7) ).
fof(f9,axiom,
! [X0,X1,X2] :
( organization(X0)
=> internal_friction(X0,X2) = internal_friction(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9) ).
fof(f10,conjecture,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(capability(X0,X2),capability(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(capability(X0,X2),capability(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ( X0 = X1
| smaller(X0,X1) )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f13,plain,
! [X0,X1] :
( ( X0 != X1
& ~ smaller(X0,X1) )
| smaller_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ( ( internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| capability(X0,X2) = capability(X0,X1) )
& ( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1)) )
& ( ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| greater(capability(X0,X2),capability(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ( ( internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| capability(X0,X2) = capability(X0,X1) )
& ( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1)) )
& ( ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| greater(capability(X0,X2),capability(X0,X1)) ) ) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| internal_friction(X0,X2) = internal_friction(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f22,plain,
? [X0,X1,X2] :
( greater(age(X0,X2),age(X0,X1))
& organization(X0)
& ~ greater(capability(X0,X2),capability(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f23,plain,
? [X0,X1,X2] :
( greater(age(X0,X2),age(X0,X1))
& organization(X0)
& ~ greater(capability(X0,X2),capability(X0,X1)) ),
inference(flattening,[],[f22]) ).
fof(f25,plain,
( greater(age(sK0,sK2),age(sK0,sK1))
& organization(sK0)
& ~ greater(capability(sK0,sK2),capability(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f23]) ).
fof(f26,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| greater(capability(X0,X2),capability(X0,X1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| internal_friction(X0,X2) = internal_friction(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f38,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f25]) ).
fof(f39,plain,
organization(sK0),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
~ greater(capability(sK0,sK2),capability(sK0,sK1)),
inference(cnf_transformation,[],[f25]) ).
fof(f41,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f26]) ).
tcf(c_50,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f41]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2)) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2)) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( internal_friction(X0,X1) = internal_friction(X0,X2) )
| ~ organization(X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_61,negated_conjecture,
~ greater(capability(sK0,sK2),capability(sK0,sK1)),
inference(cnf_transformation,[],[f40]) ).
tcf(c_62,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f39]) ).
tcf(c_63,negated_conjecture,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f38]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( internal_friction(X0,X1) = internal_friction(X0,X2) )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_62]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i] : internal_friction(sK0,X0) = internal_friction(sK0,X1),
inference(unflattening,[status(thm)],[c_221]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_62]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i] :
( greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1))
| ~ greater(age(sK0,X0),age(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_227]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_62]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] :
( greater(capability(sK0,X0),capability(sK0,X1))
| ~ greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1))
| ~ smaller_or_equal(internal_friction(sK0,X0),internal_friction(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_248]) ).
tcf(c_307,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(capability(sK0,X0),capability(sK0,X2))
| ~ greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X2))
| ( internal_friction(sK0,X2) != X1 )
| ( internal_friction(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_249]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i] :
( greater(capability(sK0,X1),capability(sK0,X0))
| ~ greater(stock_of_knowledge(sK0,X1),stock_of_knowledge(sK0,X0))
| ( internal_friction(sK0,X0) != internal_friction(sK0,X1) ) ),
inference(unflattening,[status(thm)],[c_307]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i] :
( greater(capability(sK0,X1),capability(sK0,X0))
| ~ greater(stock_of_knowledge(sK0,X1),stock_of_knowledge(sK0,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_308,c_222,c_308]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i] :
( greater(capability(sK0,X0),capability(sK0,X1))
| ~ greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1)) ),
inference(renaming,[status(thm)],[c_310]) ).
tcf(c_436,definition,
iPr_def_10 = age(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_437,definition,
iPr_def_11 = age(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_438,definition,
iPr_def_12 = capability(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_439,definition,
iPr_def_13 = capability(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i] :
( greater(capability(sK0,X0),capability(sK0,X1))
| ~ greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1)) ),
inference(demodulation,[status(thm)],[c_311]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i] :
( greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1))
| ~ greater(age(sK0,X0),age(sK0,X1)) ),
inference(demodulation,[status(thm)],[c_228]) ).
tcf(c_446,negated_conjecture,
greater(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_63,c_437,c_436]) ).
tcf(c_447,negated_conjecture,
~ greater(iPr_def_12,iPr_def_13),
inference(demodulation,[status(thm)],[c_61,c_439,c_438]) ).
tcf(c_728,plain,
! [X0: $i] :
( greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,X0))
| ~ greater(iPr_def_10,age(sK0,X0)) ),
inference(superposition,[status(thm)],[c_436,c_443]) ).
tcf(c_781,plain,
! [X0: $i] :
( greater(capability(sK0,sK2),capability(sK0,X0))
| ~ greater(iPr_def_10,age(sK0,X0)) ),
inference(superposition,[status(thm)],[c_728,c_440]) ).
tcf(c_782,plain,
! [X0: $i] :
( greater(iPr_def_12,capability(sK0,X0))
| ~ greater(iPr_def_10,age(sK0,X0)) ),
inference(light_normalisation,[status(thm)],[c_781,c_438]) ).
tcf(c_1278,plain,
( greater(iPr_def_12,capability(sK0,sK1))
| ~ greater(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_437,c_782]) ).
tcf(c_1279,plain,
( greater(iPr_def_12,iPr_def_13)
| ~ greater(iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_1278,c_439]) ).
tcf(c_1280,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1279,c_447,c_446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT044+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n006.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 01:10:26 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 2.11/1.28 % SZS status Started for theBenchmark.p
% 2.11/1.28 % SZS status Theorem for theBenchmark.p
% 2.11/1.28
% 2.11/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.11/1.28
% 2.11/1.28 % ------ iProver source info
% 2.11/1.28
% 2.11/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.11/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.11/1.28 % git: non_committed_changes: false
% 2.11/1.28
% 2.11/1.28 % ------ Parsing...
% 2.11/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.11/1.28
% 2.11/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 2.11/1.28
% 2.11/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.11/1.28
% 2.11/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.11/1.28 % ------ Proving...
% 2.11/1.28 % ------ Problem Properties
% 2.11/1.28
% 2.11/1.28 %
% 2.11/1.28 % clauses 17
% 2.11/1.28 % conjectures 2
% 2.11/1.28 % EPR 7
% 2.11/1.28 % Horn 16
% 2.11/1.28 % unary 7
% 2.11/1.28 % binary 6
% 2.11/1.28 % lits 31
% 2.11/1.28 % lits eq 9
% 2.11/1.28 % fd_pure 0
% 2.11/1.28 % fd_pseudo 0
% 2.11/1.28 % fd_cond 0
% 2.11/1.28 % fd_pseudo_cond 1
% 2.11/1.28 % AC symbols 0
% 2.11/1.28
% 2.11/1.28 % ------ Schedule dynamic 5 is on
% 2.11/1.28
% 2.11/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.11/1.28
% 2.11/1.28
% 2.11/1.28 % ------
% 2.11/1.28 % Current options:
% 2.11/1.28 % ------
% 2.11/1.28
% 2.11/1.28
% 2.11/1.28 %
% 2.11/1.28
% 2.11/1.28 % ------ Proving...
% 2.11/1.28 %
% 2.11/1.28
% 2.11/1.28 % SZS status Theorem for theBenchmark.p
% 2.11/1.28
% 2.11/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.11/1.28
% 2.11/1.28
%------------------------------------------------------------------------------