%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO171+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 01:20:05 PM UTC 2026
% Result : Theorem 1.63s 1.16s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 4 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 12 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
fof(f13,conjecture,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f31,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f32,plain,
? [X0,X1] :
( convergent_lines(X0,X1)
& ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
( convergent_lines(sK0,sK1)
& ~ distinct_lines(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f32]) ).
fof(f47,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f48,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
~ distinct_lines(sK0,sK1),
inference(cnf_transformation,[],[f33]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_63,negated_conjecture,
~ distinct_lines(sK0,sK1),
inference(cnf_transformation,[],[f49]) ).
tcf(c_64,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f48]) ).
tcf(c_174,plain,
( distinct_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_175,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_174,c_63,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO171+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 11:18:23 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.63/1.16 % SZS status Started for theBenchmark.p
% 1.63/1.16 % SZS status Theorem for theBenchmark.p
% 1.63/1.16
% 1.63/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.63/1.16
% 1.63/1.16 % ------ iProver source info
% 1.63/1.16
% 1.63/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.63/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.63/1.16 % git: non_committed_changes: false
% 1.63/1.16
% 1.63/1.16 % ------ Parsing...
% 1.63/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.63/1.16
% 1.63/1.16 % ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.63/1.16
% 1.63/1.16 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.63/1.16 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.63/1.16 % ------ Proving...
% 1.63/1.16 % ------ Problem Properties
% 1.63/1.16
% 1.63/1.16 %
% 1.63/1.16 % clauses 7
% 1.63/1.16 % conjectures 2
% 1.63/1.16 % EPR 7
% 1.63/1.16 % Horn 5
% 1.63/1.16 % unary 4
% 1.63/1.16 % binary 1
% 1.63/1.16 % lits 12
% 1.63/1.16 % lits eq 0
% 1.63/1.16 % fd_pure 0
% 1.63/1.16 % fd_pseudo 0
% 1.63/1.16 % fd_cond 0
% 1.63/1.16 % fd_pseudo_cond 0
% 1.63/1.16 % AC symbols 0
% 1.63/1.16
% 1.63/1.16 % ------ Schedule EPR non Horn non eq is on
% 1.63/1.16
% 1.63/1.16 % ------ no equalities: superposition off
% 1.63/1.16
% 1.63/1.16 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.63/1.16
% 1.63/1.16
% 1.63/1.16 % ------
% 1.63/1.16 % Current options:
% 1.63/1.16 % ------
% 1.63/1.16
% 1.63/1.16
% 1.63/1.16 %
% 1.63/1.16
% 1.63/1.16 % ------ Proving...
% 1.63/1.16 %
% 1.63/1.16
% 1.63/1.16 % SZS status Theorem for theBenchmark.p
% 1.63/1.16
% 1.63/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.63/1.16
% 1.63/1.16
%------------------------------------------------------------------------------