TSTP Solution File: MGT044+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : MGT044+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:14:45 EDT 2023
% Result : Theorem 1.94s 1.13s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 148 ( 29 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 158 ( 59 ~; 51 |; 30 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 103 ( 6 sgn; 60 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f7,axiom,
! [X0,X3,X4] :
( organization(X0)
=> ( ( ( internal_friction(X0,X4) = internal_friction(X0,X3)
& stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3) )
=> capability(X0,X4) = capability(X0,X3) )
& ( ( greater(internal_friction(X0,X4),internal_friction(X0,X3))
& smaller_or_equal(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
=> smaller(capability(X0,X4),capability(X0,X3)) )
& ( ( smaller_or_equal(internal_friction(X0,X4),internal_friction(X0,X3))
& greater(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
=> greater(capability(X0,X4),capability(X0,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f8,axiom,
! [X0,X3,X4] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7) ).
fof(f9,axiom,
! [X0,X3,X4] :
( organization(X0)
=> internal_friction(X0,X4) = internal_friction(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9) ).
fof(f10,conjecture,
! [X0,X3,X4] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(capability(X0,X4),capability(X0,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3) ).
fof(f11,negated_conjecture,
~ ! [X0,X3,X4] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(capability(X0,X4),capability(X0,X3)) ),
inference(negated_conjecture,[],[f10]) ).
fof(f12,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(rectify,[],[f7]) ).
fof(f13,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(rectify,[],[f8]) ).
fof(f14,plain,
! [X0,X1,X2] :
( organization(X0)
=> internal_friction(X0,X2) = internal_friction(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f15,plain,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(capability(X0,X2),capability(X0,X1)) ),
inference(rectify,[],[f11]) ).
fof(f16,plain,
! [X0,X1] :
( ( X0 = X1
| smaller(X0,X1) )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f17,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( ( capability(X0,X2) = capability(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
& ( smaller(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)) )
& ( greater(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)) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( ( capability(X0,X2) = capability(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
& ( smaller(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)) )
& ( greater(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)) ) )
| ~ organization(X0) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( internal_friction(X0,X2) = internal_friction(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f26,plain,
? [X0,X1,X2] :
( ~ greater(capability(X0,X2),capability(X0,X1))
& greater(age(X0,X2),age(X0,X1))
& organization(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ~ greater(capability(X0,X2),capability(X0,X1))
& greater(age(X0,X2),age(X0,X1))
& organization(X0) ),
inference(flattening,[],[f26]) ).
fof(f29,plain,
( ? [X0,X1,X2] :
( ~ greater(capability(X0,X2),capability(X0,X1))
& greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> ( ~ greater(capability(sK0,sK2),capability(sK0,sK1))
& greater(age(sK0,sK2),age(sK0,sK1))
& organization(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ~ greater(capability(sK0,sK2),capability(sK0,sK1))
& greater(age(sK0,sK2),age(sK0,sK1))
& organization(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f29]) ).
fof(f32,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
! [X2,X0,X1] :
( greater(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))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f41,plain,
! [X2,X0,X1] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f42,plain,
! [X2,X0,X1] :
( internal_friction(X0,X2) = internal_friction(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f43,plain,
organization(sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f30]) ).
fof(f45,plain,
~ greater(capability(sK0,sK2),capability(sK0,sK1)),
inference(cnf_transformation,[],[f30]) ).
fof(f46,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f32]) ).
cnf(c_49,plain,
smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f46]) ).
cnf(c_58,plain,
( ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| greater(capability(X0,X1),capability(X0,X2)) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_59,plain,
( ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0)
| greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_60,plain,
( ~ organization(X0)
| internal_friction(X0,X1) = internal_friction(X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_61,negated_conjecture,
~ greater(capability(sK0,sK2),capability(sK0,sK1)),
inference(cnf_transformation,[],[f45]) ).
cnf(c_62,negated_conjecture,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f44]) ).
cnf(c_63,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f43]) ).
cnf(c_221,plain,
( X0 != sK0
| internal_friction(X0,X1) = internal_friction(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_60,c_63]) ).
cnf(c_222,plain,
internal_friction(sK0,X0) = internal_friction(sK0,X1),
inference(unflattening,[status(thm)],[c_221]) ).
cnf(c_227,plain,
( X0 != sK0
| ~ greater(age(X0,X1),age(X0,X2))
| greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)) ),
inference(resolution_lifted,[status(thm)],[c_59,c_63]) ).
cnf(c_228,plain,
( ~ greater(age(sK0,X0),age(sK0,X1))
| greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_227]) ).
cnf(c_236,plain,
( X0 != sK0
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| greater(capability(X0,X1),capability(X0,X2)) ),
inference(resolution_lifted,[status(thm)],[c_58,c_63]) ).
cnf(c_237,plain,
( ~ smaller_or_equal(internal_friction(sK0,X0),internal_friction(sK0,X1))
| ~ greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1))
| greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_236]) ).
cnf(c_271,plain,
( internal_friction(sK0,X0) != X1
| internal_friction(sK0,X2) != X1
| ~ greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X2))
| greater(capability(sK0,X0),capability(sK0,X2)) ),
inference(resolution_lifted,[status(thm)],[c_49,c_237]) ).
cnf(c_272,plain,
( internal_friction(sK0,X0) != internal_friction(sK0,X1)
| ~ greater(stock_of_knowledge(sK0,X1),stock_of_knowledge(sK0,X0))
| greater(capability(sK0,X1),capability(sK0,X0)) ),
inference(unflattening,[status(thm)],[c_271]) ).
cnf(c_274,plain,
( ~ greater(stock_of_knowledge(sK0,X1),stock_of_knowledge(sK0,X0))
| greater(capability(sK0,X1),capability(sK0,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_272,c_222,c_272]) ).
cnf(c_275,plain,
( ~ greater(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1))
| greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(renaming,[status(thm)],[c_274]) ).
cnf(c_648,plain,
greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)),
inference(superposition,[status(thm)],[c_62,c_228]) ).
cnf(c_658,plain,
greater(capability(sK0,sK2),capability(sK0,sK1)),
inference(superposition,[status(thm)],[c_648,c_275]) ).
cnf(c_659,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_658,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT044+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 06:26:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.94/1.13 % SZS status Started for theBenchmark.p
% 1.94/1.13 % SZS status Theorem for theBenchmark.p
% 1.94/1.13
% 1.94/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.94/1.13
% 1.94/1.13 ------ iProver source info
% 1.94/1.13
% 1.94/1.13 git: date: 2023-05-31 18:12:56 +0000
% 1.94/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.94/1.13 git: non_committed_changes: false
% 1.94/1.13 git: last_make_outside_of_git: false
% 1.94/1.13
% 1.94/1.13 ------ Parsing...
% 1.94/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.94/1.13
% 1.94/1.13 ------ 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
% 1.94/1.13
% 1.94/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.94/1.13
% 1.94/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.94/1.13 ------ Proving...
% 1.94/1.13 ------ Problem Properties
% 1.94/1.13
% 1.94/1.13
% 1.94/1.13 clauses 13
% 1.94/1.13 conjectures 2
% 1.94/1.13 EPR 5
% 1.94/1.13 Horn 12
% 1.94/1.13 unary 3
% 1.94/1.13 binary 6
% 1.94/1.13 lits 27
% 1.94/1.13 lits eq 5
% 1.94/1.13 fd_pure 0
% 1.94/1.13 fd_pseudo 0
% 1.94/1.13 fd_cond 0
% 1.94/1.13 fd_pseudo_cond 1
% 1.94/1.13 AC symbols 0
% 1.94/1.13
% 1.94/1.13 ------ Schedule dynamic 5 is on
% 1.94/1.13
% 1.94/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.94/1.13
% 1.94/1.13
% 1.94/1.13 ------
% 1.94/1.13 Current options:
% 1.94/1.13 ------
% 1.94/1.13
% 1.94/1.13
% 1.94/1.13
% 1.94/1.13
% 1.94/1.13 ------ Proving...
% 1.94/1.13
% 1.94/1.13
% 1.94/1.13 % SZS status Theorem for theBenchmark.p
% 1.94/1.13
% 1.94/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.94/1.13
% 1.94/1.14
%------------------------------------------------------------------------------