%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG194+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 : n001.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 12:53:45 PM UTC 2026
% Result : Theorem 2.05s 1.29s
% Output : CNFRefutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 39 ( 1 unt; 1 def)
% Number of atoms : 207 ( 175 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 269 ( 101 ~; 108 |; 60 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 3 ( 1 usr; 2 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(f6,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 )
| ( 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(f7,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 )
| ( 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)],[f6]) ).
fof(f8,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) )
| ( 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) ) )
& ( 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) )
& ( 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(ennf_transformation,[],[f7]) ).
fof(f530,plain,
( sP0
| e6 != op(e6,e6) ),
inference(cnf_transformation,[],[f10]) ).
fof(f531,plain,
( sP0
| e5 != op(e5,e5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f532,plain,
( sP0
| e4 != op(e4,e4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f533,plain,
( sP0
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f534,plain,
( sP0
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f535,plain,
( sP0
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f536,plain,
( sP0
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f537,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,[],[f10]) ).
fof(f538,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,[],[f10]) ).
tcf(c_567,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,[],[f538]) ).
tcf(c_568,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,[],[f537]) ).
tcf(c_569,negated_conjecture,
( sP0
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f536]) ).
tcf(c_570,negated_conjecture,
( sP0
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f535]) ).
tcf(c_571,negated_conjecture,
( sP0
| ( op(e2,e2) != e2 ) ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_572,negated_conjecture,
( sP0
| ( op(e3,e3) != e3 ) ),
inference(cnf_transformation,[],[f533]) ).
tcf(c_573,negated_conjecture,
( sP0
| ( op(e4,e4) != e4 ) ),
inference(cnf_transformation,[],[f532]) ).
tcf(c_574,negated_conjecture,
( sP0
| ( op(e5,e5) != e5 ) ),
inference(cnf_transformation,[],[f531]) ).
tcf(c_575,negated_conjecture,
( sP0
| ( op(e6,e6) != e6 ) ),
inference(cnf_transformation,[],[f530]) ).
fof(f9,definition,
( ~ sP0
| ( 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) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,plain,
( ( sP0
| ( 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) ) )
& ( 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) )
& ( 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(definition_folding,[],[f8,f9]) ).
fof(f11,plain,
( ~ sP0
| ( 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(nnf_transformation,[],[f9]) ).
fof(f523,plain,
( ~ sP0
| e6 = op(e6,e6) ),
inference(cnf_transformation,[],[f11]) ).
fof(f524,plain,
( ~ sP0
| e5 = op(e5,e5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f525,plain,
( ~ sP0
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f11]) ).
fof(f526,plain,
( ~ sP0
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f527,plain,
( ~ sP0
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f528,plain,
( ~ sP0
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f529,plain,
( ~ sP0
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_560,plain,
( ( op(e0,e0) = e0 )
| ~ sP0 ),
inference(cnf_transformation,[],[f529]) ).
tcf(c_561,plain,
( ( op(e1,e1) = e1 )
| ~ sP0 ),
inference(cnf_transformation,[],[f528]) ).
tcf(c_562,plain,
( ( op(e2,e2) = e2 )
| ~ sP0 ),
inference(cnf_transformation,[],[f527]) ).
tcf(c_563,plain,
( ( op(e3,e3) = e3 )
| ~ sP0 ),
inference(cnf_transformation,[],[f526]) ).
tcf(c_564,plain,
( ( op(e4,e4) = e4 )
| ~ sP0 ),
inference(cnf_transformation,[],[f525]) ).
tcf(c_565,plain,
( ( op(e5,e5) = e5 )
| ~ sP0 ),
inference(cnf_transformation,[],[f524]) ).
tcf(c_566,plain,
( ( op(e6,e6) = e6 )
| ~ sP0 ),
inference(cnf_transformation,[],[f523]) ).
tcf(c_576,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_568,c_567,c_560,c_561,c_562,c_563,c_564,c_565,c_566,c_569,c_570,c_571,c_572,c_573,c_574,c_575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG194+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 05:07:24 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.05/1.29 % SZS status Started for theBenchmark.p
% 2.05/1.29 % SZS status Theorem for theBenchmark.p
% 2.05/1.29
% 2.05/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.05/1.29
% 2.05/1.29 % ------ iProver source info
% 2.05/1.29
% 2.05/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.05/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.05/1.29 % git: non_committed_changes: false
% 2.05/1.29
% 2.05/1.29 % ------ Parsing...
% 2.05/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.05/1.29
% 2.05/1.29 % ------ Preprocessing...%
% 2.05/1.29
% 2.05/1.29 % SZS status Theorem for theBenchmark.p
% 2.05/1.29
% 2.05/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.05/1.29
% 2.05/1.29
%------------------------------------------------------------------------------