%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO080+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 : n013.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 01:19:48 PM UTC 2026
% Result : Theorem 0.41s 21.30s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 18 ~; 16 |; 6 &)
% ( 2 <=>; 1 =>; 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 25 !; 3 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(f17,conjecture,
! [X0] : part_of(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_reflexivity) ).
fof(f18,negated_conjecture,
~ ! [X0] : part_of(X0,X0),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f21,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f40,plain,
? [X0] : ~ part_of(X0,X0),
inference(ennf_transformation,[],[f18]) ).
fof(f41,plain,
! [X0,X1] :
( ( ~ part_of(X1,X0)
| ! [X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0) ) )
& ( ? [X2] :
( incident_c(X2,X1)
& ~ incident_c(X2,X0) )
| part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f42,plain,
! [X0,X1] :
( ( ~ part_of(X1,X0)
| ! [X3] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0) ) )
& ( ? [X2] :
( incident_c(X2,X1)
& ~ incident_c(X2,X0) )
| part_of(X1,X0) ) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( ~ part_of(X1,X0)
| ! [X3] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0) ) )
& ( ( incident_c(sK0(X0,X1),X1)
& ~ incident_c(sK0(X0,X1),X0) )
| part_of(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f42]) ).
fof(f67,plain,
~ part_of(sK13,sK13),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f40]) ).
fof(f69,plain,
! [X0,X1] :
( incident_c(sK0(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f70,plain,
! [X0,X1] :
( ~ incident_c(sK0(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f109,plain,
~ part_of(sK13,sK13),
inference(cnf_transformation,[],[f67]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( part_of(X1,X0)
| ~ incident_c(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( part_of(X1,X0)
| incident_c(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_90,negated_conjecture,
~ part_of(sK13,sK13),
inference(cnf_transformation,[],[f109]) ).
tcf(c_98,plain,
( part_of(sK13,sK13)
| incident_c(sK0(sK13,sK13),sK13) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_101,plain,
( part_of(sK13,sK13)
| ~ incident_c(sK0(sK13,sK13),sK13) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_102,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_101,c_98,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO080+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/20.40 % Computer : n013.cluster.edu
% 0.02/20.40 % Model : x86_64 x86_64
% 0.02/20.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/20.40 % Memory : 8046.5625MB
% 0.02/20.40 % OS : Linux 6.8.0-71-generic
% 0.02/20.40 % CPULimit : 300
% 0.02/20.40 % WCLimit : 300
% 0.02/20.40 % DateTime : Wed Sep 23 10:45:03 UTC 2026
% 0.02/20.40 % CPUTime :
% 0.02/20.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/20.43 Running first-order theorem proving
% 0.02/20.43 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
% 0.02/20.44
% 0.02/20.44 % ======== iProver multi-core TPTP/SMT =========
% 0.02/20.44
% 0.02/20.44 % Detected problem language: tptp
% 0.02/20.46 % Proving...
% 0.41/21.30 % SZS status Started for theBenchmark.p
% 0.41/21.30 % SZS status Theorem for theBenchmark.p
% 0.41/21.30
% 0.41/21.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.41/21.30
% 0.41/21.30 % ------ iProver source info
% 0.41/21.30
% 0.41/21.30 % git: date: 2026-07-19 20:42:38 +0200
% 0.41/21.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.41/21.30 % git: non_committed_changes: false
% 0.41/21.30
% 0.41/21.30 % ------ Parsing...
% 0.41/21.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.41/21.30
% 0.41/21.30 % ------ Preprocessing...%
% 0.41/21.30
% 0.41/21.30 % SZS status Theorem for theBenchmark.p
% 0.41/21.30
% 0.41/21.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.27/21.30
% 1.27/21.30
%------------------------------------------------------------------------------