%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO008-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 01:19:30 PM UTC 2026
% Result : Unsatisfiable 3.66s 6.10s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 22 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f64,axiom,
! [X2,X3,X0,X1] :
( between(X0,X3,X2)
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).
fof(f65,axiom,
! [X2,X3,X0,X1] :
( between(X0,X1,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b9) ).
fof(f90,axiom,
! [X2,X3,X0,X1] :
( between(X3,X1,X2)
| between(X1,X3,X2)
| ~ between(X0,X3,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b14) ).
fof(f91,axiom,
between(a,c,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_e) ).
fof(f92,axiom,
between(a,d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_between_a_and_e) ).
fof(f93,axiom,
between(c,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_between_c_and_d) ).
fof(f94,negated_conjecture,
~ between(a,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_betweenness) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X3,X1,X2)
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X0,X1,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X3,X1,X2)
| between(X1,X3,X2)
| ~ between(X0,X3,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_212,plain,
between(a,c,e),
inference(cnf_transformation,[],[f91]) ).
tcf(c_213,plain,
between(a,d,e),
inference(cnf_transformation,[],[f92]) ).
tcf(c_214,plain,
between(c,b,d),
inference(cnf_transformation,[],[f93]) ).
tcf(c_215,negated_conjecture,
~ between(a,b,e),
inference(cnf_transformation,[],[f94]) ).
tcf(c_1619,plain,
between(d,b,c),
inference(superposition,[status(thm)],[c_214,c_178]) ).
tcf(c_1642,plain,
! [X0: $i] :
( between(c,b,X0)
| ~ between(c,d,X0) ),
inference(superposition,[status(thm)],[c_214,c_188]) ).
tcf(c_1680,plain,
! [X0: $i] :
( between(d,X0,e)
| between(X0,d,e)
| ~ between(a,X0,e) ),
inference(superposition,[status(thm)],[c_213,c_211]) ).
tcf(c_1711,plain,
! [X0: $i] :
( between(d,b,X0)
| ~ between(d,c,X0) ),
inference(superposition,[status(thm)],[c_1619,c_188]) ).
tcf(c_1821,plain,
( between(d,c,e)
| between(c,d,e) ),
inference(superposition,[status(thm)],[c_212,c_1680]) ).
tcf(c_2011,plain,
( between(d,b,e)
| between(c,d,e) ),
inference(superposition,[status(thm)],[c_1821,c_1711]) ).
tcf(c_2071,plain,
! [X0: $i] :
( between(c,d,e)
| between(d,b,X0)
| ~ between(d,e,X0) ),
inference(superposition,[status(thm)],[c_2011,c_188]) ).
tcf(c_2072,plain,
! [X0: $i] :
( between(c,d,e)
| between(X0,b,e)
| ~ between(X0,d,e) ),
inference(superposition,[status(thm)],[c_2011,c_187]) ).
tcf(c_2658,plain,
( between(c,d,e)
| between(a,b,e) ),
inference(superposition,[status(thm)],[c_213,c_2072]) ).
tcf(c_2659,plain,
between(c,d,e),
inference(global_subsumption_just,[status(thm)],[c_2071,c_215,c_2658]) ).
tcf(c_2670,plain,
between(c,b,e),
inference(superposition,[status(thm)],[c_2659,c_1642]) ).
tcf(c_3068,plain,
! [X0: $i] :
( between(X0,b,e)
| ~ between(X0,c,e) ),
inference(superposition,[status(thm)],[c_2670,c_187]) ).
tcf(c_3383,plain,
between(a,b,e),
inference(superposition,[status(thm)],[c_212,c_3068]) ).
tcf(c_3384,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_215,c_3383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO008-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n020.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Wed Sep 23 10:21:39 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 3.66/6.10 % SZS status Started for theBenchmark.p
% 3.66/6.10 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/6.10
% 3.66/6.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.66/6.10
% 3.66/6.10 % ------ iProver source info
% 3.66/6.10
% 3.66/6.10 % git: date: 2026-07-19 20:42:38 +0200
% 3.66/6.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.66/6.10 % git: non_committed_changes: false
% 3.66/6.10
% 3.66/6.10 % ------ Parsing...% successful
% 3.66/6.10
% 3.66/6.10
% 3.66/6.10 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.66/6.10 % ------ Proving...
% 3.66/6.10 % ------ Problem Properties
% 3.66/6.10
% 3.66/6.10 %
% 3.66/6.10 % clauses 82
% 3.66/6.10 % conjectures 1
% 3.66/6.10 % EPR 52
% 3.66/6.10 % Horn 62
% 3.66/6.10 % unary 29
% 3.66/6.10 % binary 15
% 3.66/6.10 % lits 222
% 3.66/6.10 % lits eq 41
% 3.66/6.10 % fd_pure 0
% 3.66/6.10 % fd_pseudo 0
% 3.66/6.10 % fd_cond 0
% 3.66/6.10 % fd_pseudo_cond 22
% 3.66/6.10 % AC symbols 0
% 3.66/6.10
% 3.66/6.10 % ------ Input Options Time Limit: Unbounded
% 3.66/6.10
% 3.66/6.10
% 3.66/6.10 % ------
% 3.66/6.10 % Current options:
% 3.66/6.10 % ------
% 3.66/6.10
% 3.66/6.10
% 3.66/6.10 %
% 3.66/6.10
% 3.66/6.10 % ------ Proving...
% 3.66/6.10 %
% 3.66/6.10
% 3.66/6.10 % ------ Proving...
% 3.66/6.10 %
% 3.66/6.10
% 3.66/6.10 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/6.10
% 3.66/6.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.66/6.10
% 3.66/6.10
%------------------------------------------------------------------------------