%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO209+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 01:20:21 PM UTC 2026
% Result : Theorem 1.82s 6.31s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 103 ( 43 ~; 33 |; 23 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 48 ( 0 sgn 40 !; 8 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).
fof(f15,axiom,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cup1) ).
fof(f16,conjecture,
! [X0,X1,X2,X3] :
( ( ~ convergent_lines(X3,X1)
& ~ convergent_lines(X2,X1)
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f17,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ~ convergent_lines(X3,X1)
& ~ convergent_lines(X2,X1)
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X2,X3) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(flattening,[],[f22]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X1,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X1,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
? [X0,X1,X2,X3] :
( ~ convergent_lines(X3,X1)
& ~ convergent_lines(X2,X1)
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X0,X1)
& distinct_lines(X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f38,plain,
? [X0,X1,X2,X3] :
( ~ convergent_lines(X3,X1)
& ~ convergent_lines(X2,X1)
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X0,X1)
& distinct_lines(X2,X3) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
( ~ convergent_lines(sK3,sK1)
& ~ convergent_lines(sK2,sK1)
& ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& apart_point_and_line(sK0,sK1)
& distinct_lines(sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f38]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
~ convergent_lines(sK3,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f58,plain,
~ convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f59,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f39]) ).
fof(f60,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
distinct_lines(sK2,sK3),
inference(cnf_transformation,[],[f39]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_66,negated_conjecture,
distinct_lines(sK2,sK3),
inference(cnf_transformation,[],[f62]) ).
tcf(c_68,negated_conjecture,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f60]) ).
tcf(c_69,negated_conjecture,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f59]) ).
tcf(c_70,negated_conjecture,
~ convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f58]) ).
tcf(c_71,negated_conjecture,
~ convergent_lines(sK3,sK1),
inference(cnf_transformation,[],[f57]) ).
tcf(c_188,plain,
! [X0: $i] :
( convergent_lines(sK2,sK3)
| apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK2)
| ~ distinct_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_189,plain,
( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2)
| convergent_lines(sK2,sK3)
| ~ distinct_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_188]) ).
tcf(c_202,plain,
! [X0: $i] :
( convergent_lines(sK3,X0)
| convergent_lines(sK2,X0)
| ~ convergent_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_221,plain,
( convergent_lines(sK3,sK1)
| convergent_lines(sK2,sK1)
| ~ convergent_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_202]) ).
tcf(c_222,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_221,c_189,c_68,c_69,c_70,c_71,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO209+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.39 % Computer : n011.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Wed Sep 23 11:30:17 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.45
% 0.16/5.45 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 1.82/6.31 % SZS status Started for theBenchmark.p
% 1.82/6.31 % SZS status Theorem for theBenchmark.p
% 1.82/6.31
% 1.82/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.82/6.31
% 1.82/6.31 % ------ iProver source info
% 1.82/6.31
% 1.82/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 1.82/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.82/6.31 % git: non_committed_changes: false
% 1.82/6.31
% 1.82/6.31 % ------ Parsing...
% 1.82/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.82/6.31
% 1.82/6.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.82/6.31
% 1.82/6.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.82/6.31 % ------ Proving...
% 1.82/6.31 % ------ Problem Properties
% 1.82/6.31
% 1.82/6.31 %
% 1.82/6.31 % clauses 23
% 1.82/6.31 % conjectures 6
% 1.82/6.31 % EPR 17
% 1.82/6.31 % Horn 16
% 1.82/6.31 % unary 11
% 1.82/6.31 % binary 1
% 1.82/6.31 % lits 50
% 1.82/6.31 % lits eq 0
% 1.82/6.31 % fd_pure 0
% 1.82/6.31 % fd_pseudo 0
% 1.82/6.31 % fd_cond 0
% 1.82/6.31 % fd_pseudo_cond 0
% 1.82/6.31 % AC symbols 0
% 1.82/6.31
% 1.82/6.31 % ------ Schedule dynamic 5 is on
% 1.82/6.31
% 1.82/6.31 % ------ no equalities: superposition off
% 1.82/6.31
% 1.82/6.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.82/6.31
% 1.82/6.31
% 1.82/6.31 % ------
% 1.82/6.31 % Current options:
% 1.82/6.31 % ------
% 1.82/6.31
% 1.82/6.31
% 1.82/6.31 %
% 1.82/6.31
% 1.82/6.31 % ------ Proving...
% 1.82/6.31 %
% 1.82/6.31
% 1.82/6.31 % SZS status Theorem for theBenchmark.p
% 1.82/6.31
% 1.82/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.82/6.31
% 1.82/6.31
%------------------------------------------------------------------------------