%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO267+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 : n012.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 01:20:38 PM UTC 2026
% Result : Theorem 0.07s 5.98s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 15 ~; 11 |; 7 &)
% ( 1 <=>; 2 =>; 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 : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn 24 !; 6 ?; 8 :)
% 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(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,X1,X2] :
( unequally_directed_opposite_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_opposite_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( unequally_directed_opposite_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_opposite_lines(X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f78,plain,
? [X0,X1,X2] :
( unequally_directed_opposite_lines(X0,X1)
& ~ unequally_directed_lines(X1,X2)
& ~ unequally_directed_opposite_lines(X1,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f79,plain,
? [X0,X1,X2] :
( unequally_directed_opposite_lines(X0,X1)
& ~ unequally_directed_lines(X1,X2)
& ~ unequally_directed_opposite_lines(X1,X2) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) )
& ( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f81,plain,
( unequally_directed_opposite_lines(sK0,sK1)
& ~ unequally_directed_lines(sK1,sK2)
& ~ unequally_directed_opposite_lines(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f79]) ).
fof(f83,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f98,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f122,plain,
~ unequally_directed_lines(sK1,sK2),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
~ unequally_directed_opposite_lines(sK1,sK2),
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,[],[f83]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_88,negated_conjecture,
~ unequally_directed_opposite_lines(sK1,sK2),
inference(cnf_transformation,[],[f123]) ).
tcf(c_89,negated_conjecture,
~ unequally_directed_lines(sK1,sK2),
inference(cnf_transformation,[],[f122]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_65,c_49]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_140]) ).
tcf(c_352,plain,
unequally_directed_lines(sK1,sK2),
inference(resolution,[status(thm)],[c_141,c_88]) ).
tcf(c_353,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_352,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO267+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/5.31 % Computer : n012.cluster.edu
% 0.03/5.31 % Model : x86_64 x86_64
% 0.03/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.31 % Memory : 8046.5625MB
% 0.03/5.31 % OS : Linux 6.8.0-71-generic
% 0.03/5.31 % CPULimit : 300
% 0.03/5.31 % WCLimit : 300
% 0.03/5.31 % DateTime : Wed Sep 23 11:46:04 UTC 2026
% 0.03/5.32 % CPUTime :
% 0.03/5.32 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/5.33 Running first-order theorem proving
% 0.03/5.33 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
% 0.03/5.34
% 0.03/5.34 % ======== iProver multi-core TPTP/SMT =========
% 0.03/5.34
% 0.03/5.34 % Detected problem language: tptp
% 0.03/5.35 % Proving...
% 0.07/5.98 % SZS status Started for theBenchmark.p
% 0.07/5.98 % SZS status Theorem for theBenchmark.p
% 0.07/5.98
% 0.07/5.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.07/5.98
% 0.07/5.98 % ------ iProver source info
% 0.07/5.98
% 0.07/5.98 % git: date: 2026-07-19 20:42:38 +0200
% 0.07/5.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.07/5.98 % git: non_committed_changes: false
% 0.07/5.98
% 0.07/5.98 % ------ Parsing...
% 0.07/5.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.07/5.98
% 0.07/5.98 % ------ Preprocessing... sf_s rm: 16 0s sf_e pe_s pe:1:0s%
% 0.07/5.98
% 0.07/5.98 % SZS status Theorem for theBenchmark.p
% 0.07/5.98
% 0.07/5.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.07/5.98
% 0.07/5.98
%------------------------------------------------------------------------------