%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO086+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 : n008.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 01:19:50 PM UTC 2026
% Result : Theorem 1.15s 1.17s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 45 ( 10 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 12 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 17 !; 4 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( ( X1 != X0
& part_of(X1,X0) )
=> open(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c1) ).
fof(f17,conjecture,
! [X0,X1] :
( ( part_of(X1,X0)
& open(X0) )
=> open(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_2) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( part_of(X1,X0)
& open(X0) )
=> open(X1) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f26,plain,
! [X0,X1] :
( X0 = X1
| ~ part_of(X1,X0)
| open(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| ~ part_of(X1,X0)
| open(X1) ),
inference(flattening,[],[f26]) ).
fof(f38,plain,
? [X0,X1] :
( part_of(X1,X0)
& open(X0)
& ~ open(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f39,plain,
? [X0,X1] :
( part_of(X1,X0)
& open(X0)
& ~ open(X1) ),
inference(flattening,[],[f38]) ).
fof(f68,plain,
( part_of(sK14,sK13)
& open(sK13)
& ~ open(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f39]) ).
fof(f99,plain,
! [X0,X1] :
( X0 = X1
| ~ part_of(X1,X0)
| open(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f111,plain,
part_of(sK14,sK13),
inference(cnf_transformation,[],[f68]) ).
fof(f112,plain,
open(sK13),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
~ open(sK14),
inference(cnf_transformation,[],[f68]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( open(X0)
| ( X0 = X1 )
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_91,negated_conjecture,
~ open(sK14),
inference(cnf_transformation,[],[f113]) ).
tcf(c_92,negated_conjecture,
open(sK13),
inference(cnf_transformation,[],[f112]) ).
tcf(c_93,negated_conjecture,
part_of(sK14,sK13),
inference(cnf_transformation,[],[f111]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ part_of(X0,X1)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_79,c_91]) ).
tcf(c_708,plain,
! [X0: $i] :
( ( sK14 = X0 )
| ~ part_of(sK14,X0) ),
inference(unflattening,[status(thm)],[c_707]) ).
tcf(c_709,plain,
( ( sK14 = sK13 )
| ~ part_of(sK14,sK13) ),
inference(instantiation,[status(thm)],[c_708]) ).
tcf(c_721,plain,
sK14 != sK13,
inference(resolution_lifted,[status(thm)],[c_91,c_92]) ).
tcf(c_722,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_721,c_709,c_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO086+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 10:47:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 1.15/1.17 % SZS status Started for theBenchmark.p
% 1.15/1.17 % SZS status Theorem for theBenchmark.p
% 1.15/1.17
% 1.15/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.15/1.17
% 1.15/1.17 % ------ iProver source info
% 1.15/1.17
% 1.15/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.15/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.15/1.17 % git: non_committed_changes: false
% 1.15/1.17
% 1.15/1.17 % ------ Parsing...
% 1.15/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.15/1.17
% 1.15/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s %
% 1.15/1.17
% 1.15/1.17 % SZS status Theorem for theBenchmark.p
% 1.15/1.17
% 1.15/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/1.17
% 1.15/1.17
%------------------------------------------------------------------------------