%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 01:20:28 PM UTC 2026
% Result : Theorem 1.58s 1.16s
% Output : CNFRefutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 12 unt; 1 def)
% Number of atoms : 67 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 30 ~; 20 |; 14 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn 16 !; 4 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
fof(f32,conjecture,
! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ~ ( ~ unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ~ ( ~ unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f44,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f45,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f44]) ).
fof(f70,plain,
? [X0,X1] :
( line(X1)
& line(X0)
& ~ unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f71,plain,
? [X0,X1] :
( line(X1)
& line(X0)
& ~ unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
( line(sK1)
& line(sK0)
& ~ unequally_directed_lines(sK0,reverse_line(sK1))
& ~ unequally_directed_lines(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f71]) ).
fof(f85,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f108,plain,
line(sK1),
inference(cnf_transformation,[],[f72]) ).
fof(f109,plain,
line(sK0),
inference(cnf_transformation,[],[f72]) ).
fof(f110,plain,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f72]) ).
fof(f111,plain,
~ unequally_directed_lines(sK0,sK1),
inference(cnf_transformation,[],[f72]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_84,negated_conjecture,
~ unequally_directed_lines(sK0,sK1),
inference(cnf_transformation,[],[f111]) ).
tcf(c_85,negated_conjecture,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f110]) ).
tcf(c_86,negated_conjecture,
line(sK0),
inference(cnf_transformation,[],[f109]) ).
tcf(c_87,negated_conjecture,
line(sK1),
inference(cnf_transformation,[],[f108]) ).
tcf(c_265,definition,
iPr_def_10 = reverse_line(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_266,negated_conjecture,
line(sK1),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_268,negated_conjecture,
~ unequally_directed_lines(sK0,iPr_def_10),
inference(demodulation,[status(thm)],[c_85,c_265]) ).
tcf(c_434,plain,
! [X0: $i] :
( unequally_directed_lines(X0,iPr_def_10)
| unequally_directed_lines(X0,sK1)
| ~ line(sK1)
| ~ line(X0) ),
inference(superposition,[status(thm)],[c_265,c_61]) ).
tcf(c_443,plain,
! [X0: $i] :
( unequally_directed_lines(X0,iPr_def_10)
| unequally_directed_lines(X0,sK1)
| ~ line(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_434,c_266]) ).
tcf(c_458,plain,
( unequally_directed_lines(sK0,iPr_def_10)
| unequally_directed_lines(sK0,sK1)
| ~ line(sK0) ),
inference(instantiation,[status(thm)],[c_443]) ).
tcf(c_459,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_458,c_268,c_84,c_86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n011.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 11:34:42 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 1.58/1.16 % SZS status Started for theBenchmark.p
% 1.58/1.16 % SZS status Theorem for theBenchmark.p
% 1.58/1.16
% 1.58/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.58/1.16
% 1.58/1.16 % ------ iProver source info
% 1.58/1.16
% 1.58/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.58/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.58/1.16 % git: non_committed_changes: false
% 1.58/1.16
% 1.58/1.16 % ------ Parsing...
% 1.58/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.58/1.16
% 1.58/1.16 % ------ Preprocessing... sf_s rm: 13 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.58/1.16
% 1.58/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.58/1.16
% 1.58/1.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.58/1.16 % ------ Proving...
% 1.58/1.16 % ------ Problem Properties
% 1.58/1.16
% 1.58/1.16 %
% 1.58/1.16 % clauses 12
% 1.58/1.16 % conjectures 4
% 1.58/1.16 % EPR 6
% 1.58/1.16 % Horn 10
% 1.58/1.16 % unary 8
% 1.58/1.16 % binary 2
% 1.58/1.16 % lits 19
% 1.58/1.16 % lits eq 1
% 1.58/1.16 % fd_pure 0
% 1.58/1.16 % fd_pseudo 0
% 1.58/1.16 % fd_cond 0
% 1.58/1.16 % fd_pseudo_cond 0
% 1.58/1.16 % AC symbols 0
% 1.58/1.16
% 1.58/1.16 % ------ Schedule dynamic 5 is on
% 1.58/1.16
% 1.58/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.58/1.16
% 1.58/1.16
% 1.58/1.16 % ------
% 1.58/1.16 % Current options:
% 1.58/1.16 % ------
% 1.58/1.16
% 1.58/1.16
% 1.58/1.16 %
% 1.58/1.16
% 1.58/1.16 % ------ Proving...
% 1.58/1.16 %
% 1.58/1.16
% 1.58/1.16 % SZS status Theorem for theBenchmark.p
% 1.58/1.16
% 1.58/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.58/1.16
% 1.58/1.16
%------------------------------------------------------------------------------