%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO258+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 01:20:36 PM UTC 2026
% Result : Theorem 1.42s 11.32s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 91 ( 35 ~; 41 |; 12 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 72 ( 0 sgn 68 !; 4 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
<=> ( ( before_on_line(X0,X2,X1)
& before_on_line(X0,X3,X2) )
| ( before_on_line(X0,X2,X3)
& before_on_line(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a9_defns) ).
fof(f37,conjecture,
! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
=> between_on_line(X0,X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
=> between_on_line(X0,X3,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f76,plain,
? [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
& ~ between_on_line(X0,X3,X2,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ( ~ between_on_line(X0,X1,X2,X3)
| ( before_on_line(X0,X2,X1)
& before_on_line(X0,X3,X2) )
| ( before_on_line(X0,X2,X3)
& before_on_line(X0,X1,X2) ) )
& ( ( ( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X3,X2) )
& ( ~ before_on_line(X0,X2,X3)
| ~ before_on_line(X0,X1,X2) ) )
| between_on_line(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( ( ~ between_on_line(X0,X1,X2,X3)
| ( before_on_line(X0,X2,X1)
& before_on_line(X0,X3,X2) )
| ( before_on_line(X0,X2,X3)
& before_on_line(X0,X1,X2) ) )
& ( ( ( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X3,X2) )
& ( ~ before_on_line(X0,X2,X3)
| ~ before_on_line(X0,X1,X2) ) )
| between_on_line(X0,X1,X2,X3) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
( between_on_line(sK0,sK1,sK2,sK3)
& ~ between_on_line(sK0,sK3,sK2,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f76]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X2,X1)
| before_on_line(X0,X2,X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X3,X2)
| before_on_line(X0,X2,X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X2,X1)
| before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X3,X2)
| between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ before_on_line(X0,X2,X3)
| ~ before_on_line(X0,X1,X2)
| between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f132,plain,
between_on_line(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f82]) ).
fof(f133,plain,
~ between_on_line(sK0,sK3,sK2,sK1),
inference(cnf_transformation,[],[f82]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between_on_line(X0,X1,X2,X3)
| ~ before_on_line(X0,X2,X3)
| ~ before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between_on_line(X0,X2,X1,X3)
| ~ before_on_line(X0,X3,X1)
| ~ before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X2)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( before_on_line(X0,X2,X1)
| before_on_line(X0,X1,X2)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( before_on_line(X0,X3,X2)
| before_on_line(X0,X2,X3)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( before_on_line(X0,X2,X3)
| before_on_line(X0,X2,X1)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_98,negated_conjecture,
~ between_on_line(sK0,sK3,sK2,sK1),
inference(cnf_transformation,[],[f133]) ).
tcf(c_99,negated_conjecture,
between_on_line(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f132]) ).
tcf(c_527,plain,
( ~ before_on_line(sK0,sK2,sK1)
| ~ before_on_line(sK0,sK3,sK2) ),
inference(resolution,[status(thm)],[c_59,c_98]) ).
tcf(c_534,plain,
( before_on_line(sK0,sK2,sK1)
| before_on_line(sK0,sK2,sK3) ),
inference(resolution,[status(thm)],[c_64,c_99]) ).
tcf(c_541,plain,
( before_on_line(sK0,sK2,sK3)
| before_on_line(sK0,sK3,sK2) ),
inference(resolution,[status(thm)],[c_63,c_99]) ).
tcf(c_542,plain,
before_on_line(sK0,sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_541,c_527,c_534,c_541]) ).
tcf(c_547,plain,
( before_on_line(sK0,sK1,sK2)
| before_on_line(sK0,sK2,sK1) ),
inference(resolution,[status(thm)],[c_62,c_99]) ).
tcf(c_554,plain,
( before_on_line(sK0,sK1,sK2)
| before_on_line(sK0,sK3,sK2) ),
inference(resolution,[status(thm)],[c_61,c_99]) ).
tcf(c_555,plain,
before_on_line(sK0,sK1,sK2),
inference(global_subsumption_just,[status(thm)],[c_554,c_527,c_547,c_554]) ).
tcf(c_560,plain,
( ~ before_on_line(sK0,sK1,sK2)
| ~ before_on_line(sK0,sK2,sK3) ),
inference(resolution,[status(thm)],[c_60,c_98]) ).
tcf(c_561,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_560,c_555,c_542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO258+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/10.40 % Computer : n016.cluster.edu
% 0.12/10.40 % Model : x86_64 x86_64
% 0.12/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.40 % Memory : 8046.5625MB
% 0.12/10.40 % OS : Linux 6.8.0-71-generic
% 0.12/10.40 % CPULimit : 300
% 0.12/10.40 % WCLimit : 300
% 0.12/10.40 % DateTime : Wed Sep 23 11:49:09 UTC 2026
% 0.12/10.40 % CPUTime :
% 0.12/10.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/10.44 Running first-order theorem proving
% 0.12/10.44 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
% 0.12/10.46
% 0.12/10.46 % ======== iProver multi-core TPTP/SMT =========
% 0.12/10.46
% 0.12/10.46 % Detected problem language: tptp
% 0.12/10.47 % Proving...
% 1.42/11.32 % SZS status Started for theBenchmark.p
% 1.42/11.32 % SZS status Theorem for theBenchmark.p
% 1.42/11.32
% 1.42/11.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.42/11.32
% 1.42/11.32 % ------ iProver source info
% 1.42/11.32
% 1.42/11.32 % git: date: 2026-07-19 20:42:38 +0200
% 1.42/11.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.42/11.32 % git: non_committed_changes: false
% 1.42/11.32
% 1.42/11.32 % ------ Parsing...
% 1.42/11.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.42/11.32
% 1.42/11.32 % ------ Preprocessing... sf_s rm: 13 0s sf_e pe_s %
% 1.42/11.32
% 1.42/11.32 % SZS status Theorem for theBenchmark.p
% 1.42/11.32
% 1.42/11.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.42/11.32
% 1.42/11.32
%------------------------------------------------------------------------------