%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO081+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 : n001.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 4.04s 1.29s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 78 ( 31 ~; 28 |; 14 &)
% ( 2 <=>; 3 =>; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 37 !; 8 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( ( part_of(X1,X2)
& part_of(X0,X1) )
=> part_of(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_transitivity) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( part_of(X1,X2)
& part_of(X0,X1) )
=> part_of(X0,X2) ),
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,X1,X2] :
( part_of(X1,X2)
& part_of(X0,X1)
& ~ part_of(X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f41,plain,
? [X0,X1,X2] :
( part_of(X1,X2)
& part_of(X0,X1)
& ~ part_of(X0,X2) ),
inference(flattening,[],[f40]) ).
fof(f42,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(f43,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,[],[f42]) ).
fof(f44,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))],[f43]) ).
fof(f68,plain,
( part_of(sK14,sK15)
& part_of(sK13,sK14)
& ~ part_of(sK13,sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f41]) ).
fof(f69,plain,
! [X3,X0,X1] :
( ~ part_of(X1,X0)
| ~ incident_c(X3,X1)
| incident_c(X3,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f70,plain,
! [X0,X1] :
( incident_c(sK0(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f71,plain,
! [X0,X1] :
( ~ incident_c(sK0(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f110,plain,
part_of(sK14,sK15),
inference(cnf_transformation,[],[f68]) ).
fof(f111,plain,
part_of(sK13,sK14),
inference(cnf_transformation,[],[f68]) ).
fof(f112,plain,
~ part_of(sK13,sK15),
inference(cnf_transformation,[],[f68]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( part_of(X1,X0)
| ~ incident_c(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( part_of(X1,X0)
| incident_c(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_90,negated_conjecture,
~ part_of(sK13,sK15),
inference(cnf_transformation,[],[f112]) ).
tcf(c_91,negated_conjecture,
part_of(sK13,sK14),
inference(cnf_transformation,[],[f111]) ).
tcf(c_92,negated_conjecture,
part_of(sK14,sK15),
inference(cnf_transformation,[],[f110]) ).
tcf(c_2063,plain,
( part_of(sK13,sK15)
| ~ incident_c(sK0(sK15,sK13),sK15) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2064,plain,
( part_of(sK13,sK15)
| incident_c(sK0(sK15,sK13),sK13) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_2156,plain,
! [X0: $i] :
( incident_c(sK0(sK15,sK13),X0)
| ~ part_of(sK13,X0)
| ~ incident_c(sK0(sK15,sK13),sK13) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2864,plain,
! [X0: $i] :
( incident_c(sK0(sK15,sK13),sK15)
| ~ part_of(X0,sK15)
| ~ incident_c(sK0(sK15,sK13),X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_3511,plain,
( incident_c(sK0(sK15,sK13),sK15)
| ~ part_of(sK14,sK15)
| ~ incident_c(sK0(sK15,sK13),sK14) ),
inference(instantiation,[status(thm)],[c_2864]) ).
tcf(c_8156,plain,
( incident_c(sK0(sK15,sK13),sK14)
| ~ part_of(sK13,sK14)
| ~ incident_c(sK0(sK15,sK13),sK13) ),
inference(instantiation,[status(thm)],[c_2156]) ).
tcf(c_8157,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8156,c_3511,c_2064,c_2063,c_90,c_91,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO081+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 10:51:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.04/1.29 % SZS status Started for theBenchmark.p
% 4.04/1.29 % SZS status Theorem for theBenchmark.p
% 4.04/1.29
% 4.04/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.04/1.29
% 4.04/1.29 % ------ iProver source info
% 4.04/1.29
% 4.04/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.04/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.04/1.29 % git: non_committed_changes: false
% 4.04/1.29
% 4.04/1.29 % ------ Parsing...
% 4.04/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.04/1.29
% 4.04/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.04/1.29
% 4.04/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.04/1.29
% 4.04/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.04/1.29 % ------ Proving...
% 4.04/1.29 % ------ Problem Properties
% 4.04/1.29
% 4.04/1.29 %
% 4.04/1.29 % clauses 44
% 4.04/1.29 % conjectures 3
% 4.04/1.29 % EPR 16
% 4.04/1.29 % Horn 28
% 4.04/1.29 % unary 4
% 4.04/1.29 % binary 16
% 4.04/1.29 % lits 132
% 4.04/1.29 % lits eq 12
% 4.04/1.29 % fd_pure 0
% 4.04/1.29 % fd_pseudo 0
% 4.04/1.29 % fd_cond 0
% 4.04/1.29 % fd_pseudo_cond 7
% 4.04/1.29 % AC symbols 0
% 4.04/1.29
% 4.04/1.29 % ------ Schedule dynamic 5 is on
% 4.04/1.29
% 4.04/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.04/1.29
% 4.04/1.29
% 4.04/1.29 % ------
% 4.04/1.29 % Current options:
% 4.04/1.29 % ------
% 4.04/1.29
% 4.04/1.29
% 4.04/1.29 %
% 4.04/1.29
% 4.04/1.29 % ------ Proving...
% 4.04/1.29 %
% 4.04/1.29
% 4.04/1.29 % SZS status Theorem for theBenchmark.p
% 4.04/1.29
% 4.04/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.29
% 4.04/1.29
%------------------------------------------------------------------------------