%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 1.86s 16.31s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 13 unt; 4 def)
% Number of atoms : 102 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 35 ~; 28 |; 11 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 50 !; 6 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) )
& ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(external_ties(X0,X2),external_ties(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).
fof(f9,conjecture,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(position(X0,X2),position(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(position(X0,X2),position(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ( ( external_ties(X0,X2) != external_ties(X0,X1)
| position(X0,X2) = position(X0,X1) )
& ( ~ greater(external_ties(X0,X2),external_ties(X0,X1))
| greater(position(X0,X2),position(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(external_ties(X0,X2),external_ties(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(external_ties(X0,X2),external_ties(X0,X1)) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( greater(age(X0,X2),age(X0,X1))
& organization(X0)
& ~ greater(position(X0,X2),position(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f20,plain,
? [X0,X1,X2] :
( greater(age(X0,X2),age(X0,X1))
& organization(X0)
& ~ greater(position(X0,X2),position(X0,X1)) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
( greater(age(sK0,sK2),age(sK0,sK1))
& organization(sK0)
& ~ greater(position(sK0,sK2),position(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f20]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(external_ties(X0,X2),external_ties(X0,X1))
| greater(position(X0,X2),position(X0,X1)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(external_ties(X0,X2),external_ties(X0,X1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f21]) ).
fof(f30,plain,
organization(sK0),
inference(cnf_transformation,[],[f21]) ).
fof(f31,plain,
~ greater(position(sK0,sK2),position(sK0,sK1)),
inference(cnf_transformation,[],[f21]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(position(X0,X1),position(X0,X2))
| ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2)) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2)) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_56,negated_conjecture,
~ greater(position(sK0,sK2),position(sK0,sK1)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_57,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f30]) ).
tcf(c_58,negated_conjecture,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f29]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_57]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( greater(external_ties(sK0,X0),external_ties(sK0,X1))
| ~ greater(age(sK0,X0),age(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_167]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(position(X0,X1),position(X0,X2))
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( greater(position(sK0,X0),position(sK0,X1))
| ~ greater(external_ties(sK0,X0),external_ties(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_185]) ).
tcf(c_265,definition,
iPr_def_10 = age(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_266,definition,
iPr_def_11 = age(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_267,definition,
iPr_def_12 = position(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_268,definition,
iPr_def_13 = position(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i] :
( greater(position(sK0,X0),position(sK0,X1))
| ~ greater(external_ties(sK0,X0),external_ties(sK0,X1)) ),
inference(demodulation,[status(thm)],[c_186]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i] :
( greater(external_ties(sK0,X0),external_ties(sK0,X1))
| ~ greater(age(sK0,X0),age(sK0,X1)) ),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_272,negated_conjecture,
greater(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_58,c_266,c_265]) ).
tcf(c_273,negated_conjecture,
~ greater(iPr_def_12,iPr_def_13),
inference(demodulation,[status(thm)],[c_56,c_268,c_267]) ).
tcf(c_444,plain,
! [X0: $i] :
( greater(external_ties(sK0,sK2),external_ties(sK0,X0))
| ~ greater(iPr_def_10,age(sK0,X0)) ),
inference(superposition,[status(thm)],[c_265,c_271]) ).
tcf(c_464,plain,
! [X0: $i] :
( greater(position(sK0,sK2),position(sK0,X0))
| ~ greater(iPr_def_10,age(sK0,X0)) ),
inference(superposition,[status(thm)],[c_444,c_269]) ).
tcf(c_465,plain,
! [X0: $i] :
( greater(iPr_def_12,position(sK0,X0))
| ~ greater(iPr_def_10,age(sK0,X0)) ),
inference(light_normalisation,[status(thm)],[c_464,c_267]) ).
tcf(c_776,plain,
( greater(iPr_def_12,position(sK0,sK1))
| ~ greater(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_266,c_465]) ).
tcf(c_777,plain,
( greater(iPr_def_12,iPr_def_13)
| ~ greater(iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_776,c_268]) ).
tcf(c_778,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_777,c_273,c_272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/15.40 % Computer : n002.cluster.edu
% 0.11/15.40 % Model : x86_64 x86_64
% 0.11/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.40 % Memory : 8046.5625MB
% 0.11/15.40 % OS : Linux 6.8.0-71-generic
% 0.11/15.41 % CPULimit : 300
% 0.11/15.41 % WCLimit : 300
% 0.11/15.41 % DateTime : Thu Sep 24 01:14:04 UTC 2026
% 0.11/15.41 % CPUTime :
% 0.11/15.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/15.44 Running first-order theorem proving
% 0.11/15.44 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/15.45
% 0.11/15.45 % ======== iProver multi-core TPTP/SMT =========
% 0.11/15.45
% 0.11/15.45 % Detected problem language: tptp
% 0.11/15.46 % Proving...
% 1.86/16.31 % SZS status Started for theBenchmark.p
% 1.86/16.31 % SZS status Theorem for theBenchmark.p
% 1.86/16.31
% 1.86/16.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.86/16.31
% 1.86/16.31 % ------ iProver source info
% 1.86/16.31
% 1.86/16.31 % git: date: 2026-07-19 20:42:38 +0200
% 1.86/16.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.86/16.31 % git: non_committed_changes: false
% 1.86/16.31
% 1.86/16.31 % ------ Parsing...
% 1.86/16.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.86/16.31
% 1.86/16.31 % ------ 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: 2 0s sf_e pe_s pe_e %
% 1.86/16.31
% 1.86/16.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.86/16.31
% 1.86/16.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.86/16.31 % ------ Proving...
% 1.86/16.31 % ------ Problem Properties
% 1.86/16.31
% 1.86/16.31 %
% 1.86/16.31 % clauses 12
% 1.86/16.31 % conjectures 2
% 1.86/16.31 % EPR 5
% 1.86/16.31 % Horn 11
% 1.86/16.31 % unary 6
% 1.86/16.31 % binary 4
% 1.86/16.31 % lits 20
% 1.86/16.31 % lits eq 7
% 1.86/16.31 % fd_pure 0
% 1.86/16.31 % fd_pseudo 0
% 1.86/16.31 % fd_cond 0
% 1.86/16.31 % fd_pseudo_cond 1
% 1.86/16.31 % AC symbols 0
% 1.86/16.31
% 1.86/16.31 % ------ Schedule dynamic 5 is on
% 1.86/16.31
% 1.86/16.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.86/16.31
% 1.86/16.31
% 1.86/16.31 % ------
% 1.86/16.31 % Current options:
% 1.86/16.31 % ------
% 1.86/16.31
% 1.86/16.31
% 1.86/16.31 %
% 1.86/16.31
% 1.86/16.31 % ------ Proving...
% 1.86/16.31 %
% 1.86/16.31
% 1.86/16.31 % SZS status Theorem for theBenchmark.p
% 1.86/16.31
% 1.86/16.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.86/16.31
% 1.86/16.31
%------------------------------------------------------------------------------