%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO171+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 : n013.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 01:20:04 PM UTC 2026
% Result : Theorem 1.65s 6.49s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 57 ( 23 ~; 28 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 43 ( 0 sgn 41 !; 2 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
fof(f15,conjecture,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(flattening,[],[f21]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
? [X0,X1] :
( convergent_lines(X0,X1)
& ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f36,plain,
( convergent_lines(sK0,sK1)
& ~ distinct_lines(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f35]) ).
fof(f39,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
~ distinct_lines(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
tcf(c_51,plain,
! [X0: $i] : ~ convergent_lines(X0,X0),
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,[],[f42]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_63,negated_conjecture,
~ distinct_lines(sK0,sK1),
inference(cnf_transformation,[],[f52]) ).
tcf(c_64,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
tcf(c_65,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_170,plain,
! [X0: $i] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_171,plain,
( convergent_lines(sK1,sK0)
| convergent_lines(sK0,sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_170]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i] :
( convergent_lines(sK1,X1)
| distinct_lines(X0,X1)
| ~ convergent_lines(sK1,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_179,plain,
! [X0: $i] :
( convergent_lines(sK1,sK1)
| distinct_lines(X0,sK1)
| ~ convergent_lines(sK1,X0) ),
inference(instantiation,[status(thm)],[c_175]) ).
tcf(c_180,plain,
~ convergent_lines(sK1,sK1),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_181,plain,
( convergent_lines(sK1,sK1)
| distinct_lines(sK0,sK1)
| ~ convergent_lines(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_179]) ).
tcf(c_182,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_180,c_181,c_171,c_65,c_63,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO171+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.59 % Computer : n013.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Wed Sep 23 11:14:36 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.10/5.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.63 Running first-order theorem proving
% 0.14/5.63 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
% 0.14/5.64
% 0.14/5.64 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.64
% 0.14/5.64 % Detected problem language: tptp
% 0.14/5.65 % Proving...
% 1.65/6.49 % SZS status Started for theBenchmark.p
% 1.65/6.49 % SZS status Theorem for theBenchmark.p
% 1.65/6.49
% 1.65/6.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.65/6.49
% 1.65/6.49 % ------ iProver source info
% 1.65/6.49
% 1.65/6.49 % git: date: 2026-07-19 20:42:38 +0200
% 1.65/6.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.65/6.49 % git: non_committed_changes: false
% 1.65/6.49
% 1.65/6.49 % ------ Parsing...
% 1.65/6.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.65/6.49
% 1.65/6.49 % ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.65/6.49
% 1.65/6.49 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.65/6.49 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.65/6.49 % ------ Proving...
% 1.65/6.49 % ------ Problem Properties
% 1.65/6.49
% 1.65/6.49 %
% 1.65/6.49 % clauses 7
% 1.65/6.49 % conjectures 2
% 1.65/6.49 % EPR 7
% 1.65/6.49 % Horn 4
% 1.65/6.49 % unary 4
% 1.65/6.49 % binary 0
% 1.65/6.49 % lits 13
% 1.65/6.49 % lits eq 0
% 1.65/6.49 % fd_pure 0
% 1.65/6.49 % fd_pseudo 0
% 1.65/6.49 % fd_cond 0
% 1.65/6.49 % fd_pseudo_cond 0
% 1.65/6.49 % AC symbols 0
% 1.65/6.49
% 1.65/6.49 % ------ Schedule EPR non Horn non eq is on
% 1.65/6.49
% 1.65/6.49 % ------ no equalities: superposition off
% 1.65/6.49
% 1.65/6.49 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.65/6.49
% 1.65/6.49
% 1.65/6.49 % ------
% 1.65/6.49 % Current options:
% 1.65/6.49 % ------
% 1.65/6.49
% 1.65/6.49
% 1.65/6.49 %
% 1.65/6.49
% 1.65/6.49 % ------ Proving...
% 1.65/6.49 %
% 1.65/6.49
% 1.65/6.49 % SZS status Theorem for theBenchmark.p
% 1.65/6.49
% 1.65/6.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.65/6.50
% 1.65/6.50
%------------------------------------------------------------------------------