%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 01:20:29 PM UTC 2026
% Result : Theorem 1.14s 6.28s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 18 ~; 15 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 0-1 aty)
% Number of variables : 16 ( 0 sgn 15 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(f13,axiom,
! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
fof(f32,conjecture,
! [X0] :
( line(X0)
=> unequally_directed_lines(X0,reverse_line(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( line(X0)
=> unequally_directed_lines(X0,reverse_line(X0)) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f44,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f45,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f44]) ).
fof(f70,plain,
? [X0] :
( line(X0)
& ~ unequally_directed_lines(X0,reverse_line(X0)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f71,plain,
( line(sK0)
& ~ unequally_directed_lines(sK0,reverse_line(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f70]) ).
fof(f78,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f84,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f107,plain,
line(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f108,plain,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(cnf_transformation,[],[f71]) ).
tcf(c_55,plain,
! [X0: $i] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f78]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_84,negated_conjecture,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(cnf_transformation,[],[f108]) ).
tcf(c_85,negated_conjecture,
line(sK0),
inference(cnf_transformation,[],[f107]) ).
tcf(c_88,plain,
~ unequally_directed_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_99,plain,
( unequally_directed_lines(sK0,sK0)
| unequally_directed_lines(sK0,reverse_line(sK0))
| ~ line(sK0) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_100,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_99,c_84,c_88,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n018.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Wed Sep 23 11:37:23 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 1.14/6.28 % SZS status Started for theBenchmark.p
% 1.14/6.28 % SZS status Theorem for theBenchmark.p
% 1.14/6.28
% 1.14/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.14/6.28
% 1.14/6.28 % ------ iProver source info
% 1.14/6.28
% 1.14/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.14/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.14/6.28 % git: non_committed_changes: false
% 1.14/6.28
% 1.14/6.28 % ------ Parsing...
% 1.14/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.14/6.28
% 1.14/6.28 % ------ Preprocessing...%
% 1.14/6.28
% 1.14/6.28 % SZS status Theorem for theBenchmark.p
% 1.14/6.28
% 1.14/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.14/6.28
% 1.14/6.28
%------------------------------------------------------------------------------