%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG045+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 : Thu Sep 24 11:56:26 AM UTC 2026
% Result : Unsatisfiable 0.59s 0.60s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 118 ( 35 unt; 0 def)
% Number of atoms : 920 ( 824 equ)
% Maximal formula atoms : 256 ( 7 avg)
% Number of connectives : 1095 ( 293 ~; 487 |; 313 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax6,axiom,
( ( op(e3,e3) = e3
& op(e2,e2) = e3
& op(e1,e1) = e3
& op(e0,e0) = e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e2
& op(e1,e1) = e2
& op(e0,e0) = e2 )
| ( op(e3,e3) = e1
& op(e2,e2) = e1
& op(e1,e1) = e1
& op(e0,e0) = e1 )
| ( op(e3,e3) = e0
& op(e2,e2) = e0
& op(e1,e1) = e0
& op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax2,axiom,
( ( unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax5,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(ax28,axiom,
~ ( e2 = op(e0,e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(ax1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax19,axiom,
~ ( e1 = op(e3,e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(ax3,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax15,axiom,
~ ( e0 = op(e3,e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(ax12,axiom,
~ ( e2 = op(e1,e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(c_0_10,plain,
( epred1_0
<=> ( ( op(e3,e3) = e2
& op(e2,e2) = e2
& op(e1,e1) = e2
& op(e0,e0) = e2 )
| ( op(e3,e3) = e1
& op(e2,e2) = e1
& op(e1,e1) = e1
& op(e0,e0) = e1 )
| ( op(e3,e3) = e0
& op(e2,e2) = e0
& op(e1,e1) = e0
& op(e0,e0) = e0 ) ) ),
introduced(definition) ).
fof(c_0_11,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_simplification,[status(thm)],[ax4]) ).
fof(c_0_12,axiom,
( ( op(e3,e3) = e3
& op(e2,e2) = e3
& op(e1,e1) = e3
& op(e0,e0) = e3 )
| epred1_0 ),
inference(apply_def,[status(thm)],[ax6,c_0_10]) ).
fof(c_0_13,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
( ( epred1_0
| op(e3,e3) = e3 )
& ( epred1_0
| op(e2,e2) = e3 )
& ( epred1_0
| op(e1,e1) = e3 )
& ( epred1_0
| op(e0,e0) = e3 ) ),
inference(distribute,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_16,plain,
( unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_17,plain,
( epred1_0
=> ( ( op(e3,e3) = e2
& op(e2,e2) = e2
& op(e1,e1) = e2
& op(e0,e0) = e2 )
| ( op(e3,e3) = e1
& op(e2,e2) = e1
& op(e1,e1) = e1
& op(e0,e0) = e1 )
| ( op(e3,e3) = e0
& op(e2,e2) = e0
& op(e1,e1) = e0
& op(e0,e0) = e0 ) ) ),
inference(split_equiv,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_19,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_simplification,[status(thm)],[ax5]) ).
cnf(c_0_20,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( epred1_0
| op(e1,e1) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_24,plain,
( ( ~ epred1_0
| op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e3,e3) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e3,e3) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e3,e3) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e2,e2) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e2,e2) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e2,e2) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e1,e1) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e1,e1) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e0,e0) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e0,e0) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e0,e0) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e3,e3) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e3,e3) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e3,e3) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e3,e3) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e2,e2) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e2,e2) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e2,e2) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e1,e1) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e1,e1) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e3,e3) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e3,e3) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e3,e3) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e2,e2) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e2,e2) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e2,e2) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e3,e3) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e3,e3) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e3,e3) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e2,e2) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e2,e2) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e2,e2) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e1
| op(e0,e0) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e3,e3) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e2,e2) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e1,e1) = e2 )
& ( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_25,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_27,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_28,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_nnf,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_30,plain,
( e2 != op(e0,e1)
| e3 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_31,plain,
( op(e0,e1) != e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_32,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_33,plain,
( op(e1,e1) != e1
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_34,plain,
( ~ epred1_0
| op(e0,e0) = e0
| op(e1,e1) = e1
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
( op(e0,e0) != e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_36,plain,
( ~ epred1_0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e3,e3) = e3 ),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_38,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_40,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_41,plain,
( e2 != op(e0,e1)
| e3 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
( epred1_0
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_43,plain,
( ~ epred1_0
| unit = e0
| unit = e1
| unit = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_44,plain,
( ~ epred1_0
| unit = e2
| unit = e1
| unit = e0
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_35]) ).
cnf(c_0_45,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_46,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_47,plain,
( op(e0,e1) != e1
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
( epred1_0
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_21]) ).
cnf(c_0_49,plain,
( ~ epred1_0
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_50,plain,
( op(e0,e1) != e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_46,c_0_26]) ).
cnf(c_0_51,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_52,plain,
( unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_53,plain,
( epred1_0
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_54,plain,
( unit = e1
| unit = e0
| op(e2,e2) = e2 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
( epred1_0
| unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_38]) ).
cnf(c_0_56,plain,
( epred1_0
| unit = e0
| op(e1,e1) = e1 ),
inference(spm,[status(thm)],[c_0_15,c_0_55]) ).
cnf(c_0_57,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_58,plain,
( epred1_0
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_56]),c_0_57]) ).
fof(c_0_59,plain,
( e1 != op(e3,e0)
| e2 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])]) ).
cnf(c_0_60,plain,
( ~ epred1_0
| op(e2,e2) = e0
| op(e2,e2) = e1
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_61,plain,
( ~ epred1_0
| unit = e0
| unit = e1
| op(e2,e2) = e2 ),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_62,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_63,plain,
( epred1_0
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_64,plain,
( epred1_0
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_58]) ).
cnf(c_0_65,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_66,plain,
( e1 != op(e3,e0)
| e2 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_68,plain,
( ~ epred1_0
| unit = e1
| unit = e0
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_45]) ).
cnf(c_0_69,plain,
epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_70,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_71,plain,
( unit = e1
| unit = e0
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[c_0_15,c_0_52]) ).
cnf(c_0_72,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_73,plain,
( unit = e1
| unit = e0
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_29,c_0_52]) ).
cnf(c_0_74,plain,
( op(e0,e0) != e2
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,plain,
( unit = e0
| unit = e1
| op(e0,e0) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).
cnf(c_0_76,plain,
( op(e1,e0) != e1
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,plain,
( op(e2,e0) != e1
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_79,plain,
( ~ epred1_0
| op(e0,e0) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_80,plain,
( unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_45]),c_0_76]),c_0_77]) ).
fof(c_0_81,plain,
( e0 != op(e3,e2)
| e1 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])]) ).
cnf(c_0_82,plain,
( ~ epred1_0
| op(e2,e1) != e2
| op(e0,e0) = e0
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_84,plain,
( unit = e0
| op(e0,e1) = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_80]) ).
cnf(c_0_85,plain,
( e0 != op(e3,e2)
| e1 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_86,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_87,plain,
( op(e2,e1) != e2
| op(e2,e2) = e1
| op(e0,e0) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_69])]) ).
cnf(c_0_88,plain,
( unit = e0
| op(e2,e1) = e2 ),
inference(spm,[status(thm)],[c_0_51,c_0_80]) ).
cnf(c_0_89,plain,
( op(e0,e0) != e0
| unit = e0 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_91,plain,
( op(e2,e2) != e1
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
( unit = e0
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_93,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_94,plain,
( unit = e0
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_90,c_0_80]) ).
cnf(c_0_95,plain,
( unit = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
fof(c_0_96,plain,
( e2 != op(e1,e3)
| e0 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])]) ).
cnf(c_0_97,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_98,plain,
( unit = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_62]) ).
cnf(c_0_99,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_100,plain,
( ~ epred1_0
| op(e3,e3) = e0
| op(e0,e0) = e1
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_101,plain,
( e2 != op(e1,e3)
| e0 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_102,plain,
( ~ epred1_0
| op(e3,e3) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_103,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_104,plain,
unit = e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_84]) ).
cnf(c_0_105,plain,
( ~ epred1_0
| op(e1,e3) != e2
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_106,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_107,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_69])]) ).
cnf(c_0_108,plain,
op(e0,e0) = e0,
inference(rw,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,plain,
( op(e1,e3) != e2
| op(e0,e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_69])]) ).
cnf(c_0_110,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_111,plain,
op(e2,e0) = e2,
inference(rw,[status(thm)],[c_0_51,c_0_104]) ).
cnf(c_0_112,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_113,plain,
op(e0,e3) = e3,
inference(rw,[status(thm)],[c_0_106,c_0_104]) ).
cnf(c_0_114,plain,
op(e3,e3) = e0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108]),c_0_108]),c_0_62]),c_0_93]) ).
cnf(c_0_115,plain,
op(e1,e3) != e2,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_108]),c_0_93]) ).
cnf(c_0_116,plain,
op(e2,e3) != e2,
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113]),c_0_38]),c_0_114]),c_0_115]),c_0_116]),c_0_62]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG045+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n014.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 12:54:07 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.60 % Version: 3.5.1
% 0.59/0.60 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.59/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.59/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.59/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.59/0.60 % Starting sh5l with 300s (1) cores
% 0.59/0.60 % sh5l with pid 4106179 completed with status 9
% 0.59/0.60 % new_bool_3 with pid 4106176 completed with status 9
% 0.59/0.60 % new_bool_1 with pid 4106178 completed with status 9
% 0.59/0.60 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4106175 completed with status 0
% 0.59/0.60 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.59/0.60 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.59/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.59/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.59/0.60 % No SInE strategy applied
% 0.59/0.60 % Search class: FGHSF-FSLM22-SFFFFFNN
% 0.59/0.60 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.59/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.59/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.59/0.60 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.59/0.60 % Starting new_bool_3 with 136s (1) cores
% 0.59/0.60 % Starting new_bool_1 with 136s (1) cores
% 0.59/0.60 % new_bool_1 with pid 4106194 completed with status 0
% 0.59/0.60 % Result found by new_bool_1
% 0.59/0.60 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.59/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.59/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.59/0.60 % No SInE strategy applied
% 0.59/0.60 % Search class: FGHSF-FSLM22-SFFFFFNN
% 0.59/0.60 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.59/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.59/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.59/0.60 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.59/0.60 % Starting new_bool_3 with 136s (1) cores
% 0.59/0.60 % Starting new_bool_1 with 136s (1) cores
% 0.59/0.60 % Preprocessing time : 0.001 s
% 0.59/0.60 % Presaturation interreduction done
% 0.59/0.60
% 0.59/0.60 % Proof found!
% 0.59/0.60 % SZS status Unsatisfiable
% 0.59/0.60 % SZS output start CNFRefutation
% See solution above
% 0.59/0.60 % Parsed axioms : 30
% 0.59/0.60 % Removed by relevancy pruning/SinE : 0
% 0.59/0.60 % Initial clauses : 203
% 0.59/0.60 % Removed in clause preprocessing : 0
% 0.59/0.60 % Initial clauses in saturation : 203
% 0.59/0.60 % Processed clauses : 3119
% 0.59/0.60 % ...of these trivial : 74
% 0.59/0.60 % ...subsumed : 1769
% 0.59/0.60 % ...remaining for further processing : 1275
% 0.59/0.60 % Other redundant clauses eliminated : 0
% 0.59/0.60 % Clauses deleted for lack of memory : 0
% 0.59/0.60 % Backward-subsumed : 231
% 0.59/0.60 % Backward-rewritten : 763
% 0.59/0.60 % Generated clauses : 7411
% 0.59/0.60 % ...of the previous two non-redundant : 7746
% 0.59/0.60 % ...aggressively subsumed : 0
% 0.59/0.60 % Contextual simplify-reflections : 81
% 0.59/0.60 % Paramodulations : 7247
% 0.59/0.60 % Factorizations : 134
% 0.59/0.60 % NegExts : 0
% 0.59/0.60 % Equation resolutions : 0
% 0.59/0.60 % Disequality decompositions : 0
% 0.59/0.60 % Total rewrite steps : 1041
% 0.59/0.60 % ...of those cached : 1029
% 0.59/0.60 % Propositional unsat checks : 0
% 0.59/0.60 % Propositional check models : 0
% 0.59/0.60 % Propositional check unsatisfiable : 0
% 0.59/0.60 % Propositional clauses : 0
% 0.59/0.60 % Propositional clauses after purity: 0
% 0.59/0.60 % Propositional unsat core size : 0
% 0.59/0.60 % Propositional preprocessing time : 0.000
% 0.59/0.60 % Propositional encoding time : 0.000
% 0.59/0.60 % Propositional solver time : 0.000
% 0.59/0.60 % Success case prop preproc time : 0.000
% 0.59/0.60 % Success case prop encoding time : 0.000
% 0.59/0.60 % Success case prop solver time : 0.000
% 0.59/0.60 % Current number of processed clauses : 48
% 0.59/0.60 % Positive orientable unit clauses : 12
% 0.59/0.60 % Positive unorientable unit clauses: 0
% 0.59/0.60 % Negative unit clauses : 36
% 0.59/0.60 % Non-unit-clauses : 0
% 0.59/0.60 % Current number of unprocessed clauses: 4177
% 0.59/0.60 % ...number of literals in the above : 22939
% 0.59/0.60 % Current number of archived formulas : 0
% 0.59/0.60 % Current number of archived clauses : 1227
% 0.59/0.60 % Clause-clause subsumption calls (NU) : 10490
% 0.59/0.60 % Rec. Clause-clause subsumption calls : 4775
% 0.59/0.60 % Non-unit clause-clause subsumptions : 1123
% 0.59/0.60 % Unit Clause-clause subsumption calls : 677
% 0.59/0.60 % Rewrite failures with RHS unbound : 0
% 0.59/0.60 % BW rewrite match attempts : 12
% 0.59/0.60 % BW rewrite match successes : 12
% 0.59/0.60 % Condensation attempts : 0
% 0.59/0.60 % Condensation successes : 0
% 0.59/0.60 % Termbank termtop insertions : 88887
% 0.59/0.60 % Search garbage collected termcells : 551
% 0.59/0.60
% 0.59/0.60 % -------------------------------------------------
% 0.59/0.60 % User time : 0.091 s
% 0.59/0.60 % System time : 0.007 s
% 0.59/0.60 % Total time : 0.098 s
% 0.59/0.60 % Maximum resident set size: 3896 pages
% 0.59/0.60
% 0.59/0.60 % -------------------------------------------------
% 0.59/0.60 % User time : 0.468 s
% 0.59/0.60 % System time : 0.072 s
% 0.59/0.60 % Total time : 0.540 s
% 0.59/0.60 % Maximum resident set size: 4864 pages
% 0.59/0.60 % E exiting
%------------------------------------------------------------------------------