%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT049+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 02:12:55 PM UTC 2026
% Result : Theorem 1.16s 1.28s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 49 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 18 ~; 12 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 38 !; 6 ?; 14 :)
% 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/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(f8,axiom,
! [X0,X1,X2] :
( organization(X0)
=> external_ties(X0,X2) = external_ties(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11) ).
fof(f9,conjecture,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> position(X0,X2) = position(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_6) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> 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] :
( ~ organization(X0)
| 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)
& position(X0,X2) != position(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f19,plain,
? [X0,X1,X2] :
( greater(age(X0,X2),age(X0,X1))
& organization(X0)
& position(X0,X2) != position(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
( greater(age(sK0,sK2),age(sK0,sK1))
& organization(sK0)
& 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)],[f19]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X2) != external_ties(X0,X1)
| position(X0,X2) = position(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X2) = external_ties(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f29,plain,
organization(sK0),
inference(cnf_transformation,[],[f20]) ).
fof(f30,plain,
position(sK0,sK2) != position(sK0,sK1),
inference(cnf_transformation,[],[f20]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( position(X0,X1) = position(X0,X2) )
| ~ organization(X0)
| ( external_ties(X0,X1) != external_ties(X0,X2) ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( external_ties(X0,X1) = external_ties(X0,X2) )
| ~ organization(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_56,negated_conjecture,
position(sK0,sK2) != position(sK0,sK1),
inference(cnf_transformation,[],[f30]) ).
tcf(c_57,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f29]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( position(X0,X1) = position(X0,X2) )
| ~ organization(X0) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_55,c_54]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( position(X0,X1) = position(X0,X2) )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_57]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] : position(sK0,X0) = position(sK0,X1),
inference(unflattening,[status(thm)],[c_162]) ).
tcf(c_184,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT049+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 01:13:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.16/1.28 % SZS status Started for theBenchmark.p
% 1.16/1.28 % SZS status Theorem for theBenchmark.p
% 1.16/1.28
% 1.16/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.16/1.28
% 1.16/1.28 % ------ iProver source info
% 1.16/1.28
% 1.16/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.16/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.16/1.28 % git: non_committed_changes: false
% 1.16/1.28
% 1.16/1.28 % ------ Parsing...
% 1.16/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.16/1.28
% 1.16/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s%
% 1.16/1.28
% 1.16/1.28 % SZS status Theorem for theBenchmark.p
% 1.16/1.28
% 1.16/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.16/1.28
% 1.16/1.28
%------------------------------------------------------------------------------