%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG025+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 : n018.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 12:53:12 PM UTC 2026
% Result : Theorem 2.04s 1.28s
% Output : CNFRefutation 2.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f843ERROR: Could not build tree for root c_634ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
unit = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f12,conjecture,
( ~ ( op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0) )
| ( op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f13,negated_conjecture,
~ ( ~ ( op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0) )
| ( op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f15,plain,
( op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0)
& ( op(e5,e5) != op(e5,e5)
| op(e4,e5) != op(e5,e4)
| op(e3,e5) != op(e5,e3)
| op(e2,e5) != op(e5,e2)
| op(e1,e5) != op(e5,e1)
| op(e0,e5) != op(e5,e0)
| op(e4,e5) != op(e5,e4)
| op(e4,e4) != op(e4,e4)
| op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| op(e0,e4) != op(e4,e0)
| op(e3,e5) != op(e5,e3)
| op(e3,e4) != op(e4,e3)
| op(e3,e3) != op(e3,e3)
| op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| op(e2,e5) != op(e5,e2)
| op(e2,e4) != op(e4,e2)
| op(e2,e3) != op(e3,e2)
| op(e2,e2) != op(e2,e2)
| op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(e1,e5) != op(e5,e1)
| op(e1,e4) != op(e4,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e2) != op(e2,e1)
| op(e1,e1) != op(e1,e1)
| op(e0,e1) != op(e1,e0)
| op(e0,e5) != op(e5,e0)
| op(e0,e4) != op(e4,e0)
| op(e0,e3) != op(e3,e0)
| op(e0,e2) != op(e2,e0)
| op(e0,e1) != op(e1,e0)
| op(e0,e0) != op(e0,e0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f16,plain,
( op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0)
& ( op(e5,e5) != op(e5,e5)
| op(e4,e5) != op(e5,e4)
| op(e3,e5) != op(e5,e3)
| op(e2,e5) != op(e5,e2)
| op(e1,e5) != op(e5,e1)
| op(e0,e5) != op(e5,e0)
| op(e4,e5) != op(e5,e4)
| op(e4,e4) != op(e4,e4)
| op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| op(e0,e4) != op(e4,e0)
| op(e3,e5) != op(e5,e3)
| op(e3,e4) != op(e4,e3)
| op(e3,e3) != op(e3,e3)
| op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| op(e2,e5) != op(e5,e2)
| op(e2,e4) != op(e4,e2)
| op(e2,e3) != op(e3,e2)
| op(e2,e2) != op(e2,e2)
| op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(e1,e5) != op(e5,e1)
| op(e1,e4) != op(e4,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e2) != op(e2,e1)
| op(e1,e1) != op(e1,e1)
| op(e0,e1) != op(e1,e0)
| op(e0,e5) != op(e5,e0)
| op(e0,e4) != op(e4,e0)
| op(e0,e3) != op(e3,e0)
| op(e0,e2) != op(e2,e0)
| op(e0,e1) != op(e1,e0)
| op(e0,e0) != op(e0,e0) ) ),
inference(flattening,[],[f15]) ).
fof(f300,plain,
e0 = unit,
inference(cnf_transformation,[],[f5]) ).
fof(f555,plain,
op(e4,e5) = op(e5,e4),
inference(cnf_transformation,[],[f16]) ).
fof(f556,plain,
op(e3,e5) = op(e5,e3),
inference(cnf_transformation,[],[f16]) ).
fof(f557,plain,
op(e2,e5) = op(e5,e2),
inference(cnf_transformation,[],[f16]) ).
fof(f558,plain,
op(e1,e5) = op(e5,e1),
inference(cnf_transformation,[],[f16]) ).
fof(f559,plain,
op(e0,e5) = op(e5,e0),
inference(cnf_transformation,[],[f16]) ).
fof(f562,plain,
op(e3,e4) = op(e4,e3),
inference(cnf_transformation,[],[f16]) ).
fof(f563,plain,
op(e2,e4) = op(e4,e2),
inference(cnf_transformation,[],[f16]) ).
fof(f564,plain,
op(e1,e4) = op(e4,e1),
inference(cnf_transformation,[],[f16]) ).
fof(f565,plain,
op(e0,e4) = op(e4,e0),
inference(cnf_transformation,[],[f16]) ).
fof(f569,plain,
op(e2,e3) = op(e3,e2),
inference(cnf_transformation,[],[f16]) ).
fof(f570,plain,
op(e1,e3) = op(e3,e1),
inference(cnf_transformation,[],[f16]) ).
fof(f571,plain,
op(e0,e3) = op(e3,e0),
inference(cnf_transformation,[],[f16]) ).
fof(f576,plain,
op(e1,e2) = op(e2,e1),
inference(cnf_transformation,[],[f16]) ).
fof(f577,plain,
op(e0,e2) = op(e2,e0),
inference(cnf_transformation,[],[f16]) ).
fof(f583,plain,
op(e0,e1) = op(e1,e0),
inference(cnf_transformation,[],[f16]) ).
fof(f838,plain,
op(unit,e1) = op(e1,unit),
inference(definition_unfolding,[],[f583,f300,f300]) ).
fof(f839,plain,
op(unit,e2) = op(e2,unit),
inference(definition_unfolding,[],[f577,f300,f300]) ).
fof(f840,plain,
op(unit,e3) = op(e3,unit),
inference(definition_unfolding,[],[f571,f300,f300]) ).
fof(f841,plain,
op(unit,e4) = op(e4,unit),
inference(definition_unfolding,[],[f565,f300,f300]) ).
fof(f842,plain,
op(unit,e5) = op(e5,unit),
inference(definition_unfolding,[],[f559,f300,f300]) ).
tcf(c_578,negated_conjecture,
( ( op(e5,e5) != op(e5,e5) )
| ( op(e4,e5) != op(e5,e4) )
| ( op(e4,e4) != op(e4,e4) )
| ( op(e3,e5) != op(e5,e3) )
| ( op(e3,e4) != op(e4,e3) )
| ( op(e3,e3) != op(e3,e3) )
| ( op(e2,e5) != op(e5,e2) )
| ( op(e2,e4) != op(e4,e2) )
| ( op(e2,e3) != op(e3,e2) )
| ( op(e2,e2) != op(e2,e2) )
| ( op(e1,e5) != op(e5,e1) )
| ( op(e1,e4) != op(e4,e1) )
| ( op(e1,e3) != op(e3,e1) )
| ( op(e1,e2) != op(e2,e1) )
| ( op(e1,e1) != op(e1,e1) )
| ( op(unit,e5) != op(e5,unit) )
| ( op(unit,e4) != op(e4,unit) )
| ( op(unit,e3) != op(e3,unit) )
| ( op(unit,e2) != op(e2,unit) )
| ( op(unit,e1) != op(e1,unit) )
| ( op(unit,unit) != op(unit,unit) ) ),
inference(cnf_transformation,[],[f843]) ).
tcf(c_584,negated_conjecture,
op(unit,e1) = op(e1,unit),
inference(cnf_transformation,[],[f838]) ).
tcf(c_589,negated_conjecture,
op(unit,e2) = op(e2,unit),
inference(cnf_transformation,[],[f839]) ).
tcf(c_590,negated_conjecture,
op(e1,e2) = op(e2,e1),
inference(cnf_transformation,[],[f576]) ).
tcf(c_594,negated_conjecture,
op(unit,e3) = op(e3,unit),
inference(cnf_transformation,[],[f840]) ).
tcf(c_595,negated_conjecture,
op(e1,e3) = op(e3,e1),
inference(cnf_transformation,[],[f570]) ).
tcf(c_596,negated_conjecture,
op(e2,e3) = op(e3,e2),
inference(cnf_transformation,[],[f569]) ).
tcf(c_599,negated_conjecture,
op(unit,e4) = op(e4,unit),
inference(cnf_transformation,[],[f841]) ).
tcf(c_600,negated_conjecture,
op(e1,e4) = op(e4,e1),
inference(cnf_transformation,[],[f564]) ).
tcf(c_601,negated_conjecture,
op(e2,e4) = op(e4,e2),
inference(cnf_transformation,[],[f563]) ).
tcf(c_602,negated_conjecture,
op(e3,e4) = op(e4,e3),
inference(cnf_transformation,[],[f562]) ).
tcf(c_604,negated_conjecture,
op(unit,e5) = op(e5,unit),
inference(cnf_transformation,[],[f842]) ).
tcf(c_605,negated_conjecture,
op(e1,e5) = op(e5,e1),
inference(cnf_transformation,[],[f558]) ).
tcf(c_606,negated_conjecture,
op(e2,e5) = op(e5,e2),
inference(cnf_transformation,[],[f557]) ).
tcf(c_607,negated_conjecture,
op(e3,e5) = op(e5,e3),
inference(cnf_transformation,[],[f556]) ).
tcf(c_608,negated_conjecture,
op(e4,e5) = op(e5,e4),
inference(cnf_transformation,[],[f555]) ).
tcf(c_633,plain,
( ( op(e4,e5) != op(e5,e4) )
| ( op(e3,e5) != op(e5,e3) )
| ( op(e3,e4) != op(e4,e3) )
| ( op(e2,e5) != op(e5,e2) )
| ( op(e2,e4) != op(e4,e2) )
| ( op(e2,e3) != op(e3,e2) )
| ( op(e1,e5) != op(e5,e1) )
| ( op(e1,e4) != op(e4,e1) )
| ( op(e1,e3) != op(e3,e1) )
| ( op(e1,e2) != op(e2,e1) )
| ( op(unit,e5) != op(e5,unit) )
| ( op(unit,e4) != op(e4,unit) )
| ( op(unit,e3) != op(e3,unit) )
| ( op(unit,e2) != op(e2,unit) )
| ( op(unit,e1) != op(e1,unit) ) ),
inference(equality_resolution_simp,[status(thm)],[c_578]) ).
tcf(c_634,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_633,c_584,c_589,c_590,c_594,c_595,c_596,c_599,c_600,c_601,c_602,c_604,c_605,c_606,c_607,c_608]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG025+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 04:36:04 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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...
% 2.04/1.28 % SZS status Started for theBenchmark.p
% 2.04/1.28 % SZS status Theorem for theBenchmark.p
% 2.04/1.28
% 2.04/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.04/1.28
% 2.04/1.28 % ------ iProver source info
% 2.04/1.28
% 2.04/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.04/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.04/1.28 % git: non_committed_changes: false
% 2.04/1.28
% 2.04/1.28 % ------ Parsing...
% 2.04/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.04/1.28
% 2.04/1.28 % ------ Preprocessing...%
% 2.04/1.28
% 2.04/1.28 % SZS status Theorem for theBenchmark.p
% 2.04/1.28
% 2.04/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.04/1.28
% 2.04/1.28
%------------------------------------------------------------------------------