%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO007-3 : 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 : n012.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 3.18s 0.96s
% Output : CNFRefutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 40 ( 5 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f87,axiom,
! [X2,X3,X0,X1] :
( between(X1,X3,X2)
| between(X1,X2,X3)
| X0 = X1
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b13) ).
fof(f88,axiom,
a != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
fof(f89,axiom,
between(d,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_c) ).
fof(f90,axiom,
between(e,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_e) ).
fof(f91,axiom,
~ between(d,e,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_not_between_d_and_a) ).
fof(f92,negated_conjecture,
~ between(e,d,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X1,X3,X2)
| between(X1,X2,X3)
| ( X0 = X1 )
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_207,plain,
a != c,
inference(cnf_transformation,[],[f88]) ).
tcf(c_208,plain,
between(d,a,c),
inference(cnf_transformation,[],[f89]) ).
tcf(c_209,plain,
between(e,a,c),
inference(cnf_transformation,[],[f90]) ).
tcf(c_210,plain,
~ between(d,e,a),
inference(cnf_transformation,[],[f91]) ).
tcf(c_211,negated_conjecture,
~ between(e,d,a),
inference(cnf_transformation,[],[f92]) ).
tcf(c_529,plain,
between(c,a,d),
inference(superposition,[status(thm)],[c_208,c_176]) ).
tcf(c_530,plain,
between(c,a,e),
inference(superposition,[status(thm)],[c_209,c_176]) ).
tcf(c_672,plain,
! [X0: $i] :
( between(a,e,X0)
| between(a,X0,e)
| ( a = c )
| ~ between(c,a,X0) ),
inference(superposition,[status(thm)],[c_530,c_206]) ).
tcf(c_908,plain,
! [X0: $i] :
( between(a,e,X0)
| between(a,X0,e)
| ~ between(c,a,X0) ),
inference(global_subsumption_just,[status(thm)],[c_672,c_207,c_672]) ).
tcf(c_918,plain,
( between(a,e,d)
| between(a,d,e) ),
inference(superposition,[status(thm)],[c_529,c_908]) ).
tcf(c_1048,plain,
( between(d,e,a)
| between(a,d,e) ),
inference(superposition,[status(thm)],[c_918,c_176]) ).
tcf(c_1107,plain,
between(a,d,e),
inference(global_subsumption_just,[status(thm)],[c_1048,c_210,c_1048]) ).
tcf(c_1118,plain,
between(e,d,a),
inference(superposition,[status(thm)],[c_1107,c_176]) ).
tcf(c_1119,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_211,c_1118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO007-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 10:20:56 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 3.18/0.96 % SZS status Started for theBenchmark.p
% 3.18/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 3.18/0.96
% 3.18/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.18/0.96
% 3.18/0.96 % ------ iProver source info
% 3.18/0.96
% 3.18/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 3.18/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.18/0.96 % git: non_committed_changes: false
% 3.18/0.96
% 3.18/0.96 % ------ Parsing...% successful
% 3.18/0.96
% 3.18/0.96
% 3.18/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.18/0.96 % ------ Proving...
% 3.18/0.96 % ------ Problem Properties
% 3.18/0.96
% 3.18/0.96 %
% 3.18/0.96 % clauses 80
% 3.18/0.96 % conjectures 1
% 3.18/0.96 % EPR 50
% 3.18/0.96 % Horn 63
% 3.18/0.96 % unary 30
% 3.18/0.96 % binary 15
% 3.18/0.96 % lits 210
% 3.18/0.96 % lits eq 41
% 3.18/0.96 % fd_pure 0
% 3.18/0.96 % fd_pseudo 0
% 3.18/0.96 % fd_cond 0
% 3.18/0.96 % fd_pseudo_cond 21
% 3.18/0.96 % AC symbols 0
% 3.18/0.96
% 3.18/0.96 % ------ Input Options Time Limit: Unbounded
% 3.18/0.96
% 3.18/0.96
% 3.18/0.96 % ------
% 3.18/0.96 % Current options:
% 3.18/0.96 % ------
% 3.18/0.96
% 3.18/0.96
% 3.18/0.96 %
% 3.18/0.96
% 3.18/0.96 % ------ Proving...
% 3.18/0.96 %
% 3.18/0.96
% 3.18/0.96 % ------ Proving...
% 3.18/0.96 %
% 3.18/0.96
% 3.18/0.96 % ------ Proving...
% 3.18/0.96 %
% 3.18/0.96
% 3.18/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 3.18/0.96
% 3.18/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.18/0.96
% 3.18/0.96
%------------------------------------------------------------------------------