%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO176+1 : 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 : 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 01:20:06 PM UTC 2026
% Result : Theorem 1.95s 1.30s
% Output : CNFRefutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 12 unt; 1 def)
% Number of atoms : 93 ( 1 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 31 ~; 29 |; 13 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 41 !; 8 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).
fof(f15,conjecture,
! [X0,X1,X2,X3] :
( ( ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> distinct_points(X0,intersection_point(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> distinct_points(X0,intersection_point(X2,X3)) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f25,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f26,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ),
inference(flattening,[],[f29]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1)
& ~ distinct_points(X0,intersection_point(X2,X3)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f36,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1)
& ~ distinct_points(X0,intersection_point(X2,X3)) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
( ( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) )
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1)
& ~ distinct_points(sK0,intersection_point(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)],[f36]) ).
fof(f46,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f52,plain,
( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f53,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
~ distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_63,negated_conjecture,
~ distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f55]) ).
tcf(c_65,negated_conjecture,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f53]) ).
tcf(c_66,negated_conjecture,
( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_150,definition,
iPr_def_10 = intersection_point(sK2,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_151,negated_conjecture,
( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) ),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_152,negated_conjecture,
convergent_lines(sK2,sK3),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_154,negated_conjecture,
~ distinct_points(sK0,iPr_def_10),
inference(demodulation,[status(thm)],[c_63,c_150]) ).
tcf(c_667,plain,
( ~ apart_point_and_line(iPr_def_10,sK2)
| ~ convergent_lines(sK2,sK3) ),
inference(superposition,[status(thm)],[c_150,c_57]) ).
tcf(c_668,plain,
~ apart_point_and_line(iPr_def_10,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_667,c_152]) ).
tcf(c_674,plain,
( ~ apart_point_and_line(iPr_def_10,sK3)
| ~ convergent_lines(sK2,sK3) ),
inference(superposition,[status(thm)],[c_150,c_58]) ).
tcf(c_675,plain,
~ apart_point_and_line(iPr_def_10,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_674,c_152]) ).
tcf(c_682,plain,
! [X0: $i] :
( apart_point_and_line(sK0,sK2)
| apart_point_and_line(X0,sK3)
| distinct_points(sK0,X0) ),
inference(superposition,[status(thm)],[c_151,c_60]) ).
tcf(c_762,plain,
( apart_point_and_line(iPr_def_10,sK3)
| apart_point_and_line(sK0,sK2) ),
inference(superposition,[status(thm)],[c_682,c_154]) ).
tcf(c_763,plain,
apart_point_and_line(sK0,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_762,c_675]) ).
tcf(c_767,plain,
! [X0: $i] :
( apart_point_and_line(X0,sK2)
| distinct_points(sK0,X0) ),
inference(superposition,[status(thm)],[c_763,c_60]) ).
tcf(c_828,plain,
apart_point_and_line(iPr_def_10,sK2),
inference(superposition,[status(thm)],[c_767,c_154]) ).
tcf(c_829,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_828,c_668]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO176+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 % Computer : n001.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Wed Sep 23 11:23:21 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 1.95/1.30 % SZS status Started for theBenchmark.p
% 1.95/1.30 % SZS status Theorem for theBenchmark.p
% 1.95/1.30
% 1.95/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.95/1.30
% 1.95/1.30 % ------ iProver source info
% 1.95/1.30
% 1.95/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.95/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.95/1.30 % git: non_committed_changes: false
% 1.95/1.30
% 1.95/1.30 % ------ Parsing...
% 1.95/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.95/1.30
% 1.95/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.95/1.30
% 1.95/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.95/1.30
% 1.95/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.95/1.30 % ------ Proving...
% 1.95/1.30 % ------ Problem Properties
% 1.95/1.30
% 1.95/1.30 %
% 1.95/1.30 % clauses 19
% 1.95/1.30 % conjectures 4
% 1.95/1.30 % EPR 14
% 1.95/1.30 % Horn 11
% 1.95/1.30 % unary 7
% 1.95/1.30 % binary 5
% 1.95/1.30 % lits 41
% 1.95/1.30 % lits eq 1
% 1.95/1.30 % fd_pure 0
% 1.95/1.30 % fd_pseudo 0
% 1.95/1.30 % fd_cond 0
% 1.95/1.30 % fd_pseudo_cond 0
% 1.95/1.30 % AC symbols 0
% 1.95/1.30
% 1.95/1.30 % ------ Schedule dynamic 5 is on
% 1.95/1.30
% 1.95/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.95/1.30
% 1.95/1.30
% 1.95/1.30 % ------
% 1.95/1.30 % Current options:
% 1.95/1.30 % ------
% 1.95/1.30
% 1.95/1.30
% 1.95/1.30 %
% 1.95/1.30
% 1.95/1.30 % ------ Proving...
% 1.95/1.30 %
% 1.95/1.30
% 1.95/1.30 % SZS status Theorem for theBenchmark.p
% 1.95/1.30
% 1.95/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.95/1.31
% 1.95/1.31
%------------------------------------------------------------------------------