%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO214+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 : n009.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 01:20:23 PM UTC 2026
% Result : Theorem 1.67s 1.18s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 77 ( 28 ~; 36 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 47 ( 0 sgn 45 !; 2 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart3) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart6) ).
fof(f16,axiom,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
=> ( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',oac1) ).
fof(f21,conjecture,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
=> unorthogonal_lines(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f22,negated_conjecture,
~ ! [X0,X1] :
( unorthogonal_lines(X0,X1)
=> unorthogonal_lines(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(flattening,[],[f27]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1)
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1)
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) ) ),
inference(flattening,[],[f42]) ).
fof(f46,plain,
? [X0,X1] :
( unorthogonal_lines(X0,X1)
& ~ unorthogonal_lines(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f47,plain,
( unorthogonal_lines(sK0,sK1)
& ~ unorthogonal_lines(sK1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f46]) ).
fof(f50,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f65,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1)
| unorthogonal_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f73,plain,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f47]) ).
fof(f74,plain,
~ unorthogonal_lines(sK1,sK0),
inference(cnf_transformation,[],[f47]) ).
tcf(c_51,plain,
! [X0: $i] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f50]) ).
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,[],[f53]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( unorthogonal_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_74,negated_conjecture,
~ unorthogonal_lines(sK1,sK0),
inference(cnf_transformation,[],[f74]) ).
tcf(c_75,negated_conjecture,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f73]) ).
tcf(c_76,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_358,plain,
( unorthogonal_lines(sK1,sK0)
| convergent_lines(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_361,plain,
! [X0: $i] :
( unorthogonal_lines(sK1,sK0)
| convergent_lines(X0,sK0)
| ~ unorthogonal_lines(X0,sK1)
| ~ convergent_lines(X0,sK1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_362,plain,
( unorthogonal_lines(sK1,sK0)
| convergent_lines(sK0,sK0)
| ~ unorthogonal_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_373,plain,
! [X0: $i] :
( convergent_lines(sK0,X0)
| convergent_lines(sK1,X0)
| ~ convergent_lines(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_439,plain,
( convergent_lines(sK0,sK1)
| convergent_lines(sK1,sK1)
| ~ convergent_lines(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_373]) ).
tcf(c_440,plain,
~ convergent_lines(sK1,sK1),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_441,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_440,c_439,c_362,c_358,c_76,c_74,c_75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO214+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 11:31:43 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.67/1.18 % SZS status Started for theBenchmark.p
% 1.67/1.18 % SZS status Theorem for theBenchmark.p
% 1.67/1.18
% 1.67/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.67/1.18
% 1.67/1.18 % ------ iProver source info
% 1.67/1.18
% 1.67/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.67/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.67/1.18 % git: non_committed_changes: false
% 1.67/1.18
% 1.67/1.18 % ------ Parsing...
% 1.67/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.67/1.18
% 1.67/1.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.67/1.18
% 1.67/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.67/1.18 % ------ Proving...
% 1.67/1.18 % ------ Problem Properties
% 1.67/1.18
% 1.67/1.18 %
% 1.67/1.18 % clauses 26
% 1.67/1.18 % conjectures 2
% 1.67/1.18 % EPR 18
% 1.67/1.18 % Horn 14
% 1.67/1.18 % unary 9
% 1.67/1.18 % binary 2
% 1.67/1.18 % lits 67
% 1.67/1.18 % lits eq 0
% 1.67/1.18 % fd_pure 0
% 1.67/1.18 % fd_pseudo 0
% 1.67/1.18 % fd_cond 0
% 1.67/1.18 % fd_pseudo_cond 0
% 1.67/1.18 % AC symbols 0
% 1.67/1.18
% 1.67/1.18 % ------ Schedule dynamic 5 is on
% 1.67/1.18
% 1.67/1.18 % ------ no equalities: superposition off
% 1.67/1.18
% 1.67/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.67/1.18
% 1.67/1.18
% 1.67/1.18 % ------
% 1.67/1.18 % Current options:
% 1.67/1.18 % ------
% 1.67/1.18
% 1.67/1.18
% 1.67/1.18 %
% 1.67/1.18
% 1.67/1.18 % ------ Proving...
% 1.67/1.18 %
% 1.67/1.18
% 1.67/1.18 % SZS status Theorem for theBenchmark.p
% 1.67/1.18
% 1.67/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.67/1.18
% 1.67/1.18
%------------------------------------------------------------------------------