%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO232+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 1.27s 1.27s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 12 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 32 ( 0 sgn 31 !; 1 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
fof(f4,axiom,
! [X0,X1] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
fof(f15,axiom,
! [X0] : equally_directed_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
fof(f18,axiom,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
fof(f37,conjecture,
! [X0] : unequally_directed_opposite_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0] : unequally_directed_opposite_lines(X0,X0),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( equally_directed_lines(X0,X1)
=> ~ unequally_directed_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f42,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
=> unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f43,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f45,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f80,plain,
? [X0] : ~ unequally_directed_opposite_lines(X0,X0),
inference(ennf_transformation,[],[f38]) ).
fof(f81,plain,
~ unequally_directed_opposite_lines(sK0,sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f84,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f91,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f97,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f120,plain,
~ unequally_directed_opposite_lines(sK0,sK0),
inference(cnf_transformation,[],[f81]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_58,plain,
! [X0: $i] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f91]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_87,negated_conjecture,
~ unequally_directed_opposite_lines(sK0,sK0),
inference(cnf_transformation,[],[f120]) ).
tcf(c_88,plain,
equally_directed_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_99,plain,
( unequally_directed_lines(sK0,sK0)
| unequally_directed_lines(sK0,reverse_line(sK0)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_101,plain,
( ~ equally_directed_lines(sK0,sK0)
| ~ unequally_directed_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_102,plain,
( unequally_directed_opposite_lines(sK0,sK0)
| ~ unequally_directed_lines(sK0,reverse_line(sK0)) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_103,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_102,c_101,c_99,c_87,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO232+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.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 11:35:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 1.27/1.27 % SZS status Started for theBenchmark.p
% 1.27/1.27 % SZS status Theorem for theBenchmark.p
% 1.27/1.27
% 1.27/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.27/1.27
% 1.27/1.27 % ------ iProver source info
% 1.27/1.27
% 1.27/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.27/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.27/1.27 % git: non_committed_changes: false
% 1.27/1.27
% 1.27/1.27 % ------ Parsing...
% 1.27/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.27/1.27
% 1.27/1.27 % ------ Preprocessing...%
% 1.27/1.27
% 1.27/1.27 % SZS status Theorem for theBenchmark.p
% 1.27/1.27
% 1.27/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.27/1.27
% 1.27/1.27
%------------------------------------------------------------------------------