%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 12:53:46 PM UTC 2026
% Result : Theorem 2.59s 1.31s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 15 unt; 0 def)
% Number of atoms : 92 ( 91 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 131 ( 59 ~; 48 |; 24 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,conjecture,
~ ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
inference(flattening,[],[f8]) ).
fof(f528,plain,
( e6 = op(e6,e6)
| e5 = op(e5,e5)
| e4 = op(e4,e4)
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f529,plain,
e6 != op(e6,e6),
inference(cnf_transformation,[],[f9]) ).
fof(f530,plain,
e5 != op(e5,e5),
inference(cnf_transformation,[],[f9]) ).
fof(f531,plain,
e4 != op(e4,e4),
inference(cnf_transformation,[],[f9]) ).
fof(f532,plain,
e3 != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f533,plain,
e2 != op(e2,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f534,plain,
e1 != op(e1,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f535,plain,
e0 != op(e0,e0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_566,negated_conjecture,
op(e0,e0) != e0,
inference(cnf_transformation,[],[f535]) ).
tcf(c_567,negated_conjecture,
op(e1,e1) != e1,
inference(cnf_transformation,[],[f534]) ).
tcf(c_568,negated_conjecture,
op(e2,e2) != e2,
inference(cnf_transformation,[],[f533]) ).
tcf(c_569,negated_conjecture,
op(e3,e3) != e3,
inference(cnf_transformation,[],[f532]) ).
tcf(c_570,negated_conjecture,
op(e4,e4) != e4,
inference(cnf_transformation,[],[f531]) ).
tcf(c_571,negated_conjecture,
op(e5,e5) != e5,
inference(cnf_transformation,[],[f530]) ).
tcf(c_572,negated_conjecture,
op(e6,e6) != e6,
inference(cnf_transformation,[],[f529]) ).
tcf(c_573,negated_conjecture,
( ( op(e6,e6) = e6 )
| ( op(e5,e5) = e5 )
| ( op(e4,e4) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f528]) ).
tcf(c_575,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_573,c_566,c_567,c_568,c_569,c_570,c_571,c_572]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 05:04:22 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 2.59/1.31 % SZS status Started for theBenchmark.p
% 2.59/1.31 % SZS status Theorem for theBenchmark.p
% 2.59/1.31
% 2.59/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.59/1.31
% 2.59/1.31 % ------ iProver source info
% 2.59/1.31
% 2.59/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 2.59/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.59/1.31 % git: non_committed_changes: false
% 2.59/1.31
% 2.59/1.31 % ------ Parsing...
% 2.59/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.59/1.31
% 2.59/1.31 % ------ Preprocessing...%
% 2.59/1.31
% 2.59/1.31 % SZS status Theorem for theBenchmark.p
% 2.59/1.31
% 2.59/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.59/1.31
% 2.59/1.31
%------------------------------------------------------------------------------