%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG023+1 : TPTP v9.2.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:04:02 PM UTC 2026
% Result : Unsatisfiable 2.01s 1.91s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 15
% Syntax : Number of formulae : 152 ( 43 unt; 0 def)
% Number of atoms : 837 ( 745 equ)
% Maximal formula atoms : 256 ( 5 avg)
% Number of connectives : 887 ( 202 ~; 429 |; 254 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax11,axiom,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax34,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(e0,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
fof(ax9,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(ax2,axiom,
( op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax5,axiom,
inv(unit) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax3,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(ax4,axiom,
( op(e0,inv(e0)) = unit
& op(inv(e0),e0) = unit
& op(e1,inv(e1)) = unit
& op(inv(e1),e1) = unit
& op(e2,inv(e2)) = unit
& op(inv(e2),e2) = unit
& op(e3,inv(e3)) = unit
& op(inv(e3),e3) = unit
& ( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3 )
& ( inv(e1) = e0
| inv(e1) = e1
| inv(e1) = e2
| inv(e1) = e3 )
& ( inv(e2) = e0
| inv(e2) = e1
| inv(e2) = e2
| inv(e2) = e3 )
& ( inv(e3) = e0
| inv(e3) = e1
| inv(e3) = e2
| inv(e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax14,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(e1,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(ax18,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(e2,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(ax10,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(ax20,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(e0,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(ax29,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(ax17,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(e2,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(c_0_14,plain,
( epred1_0
<=> ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 ) ) ),
introduced(definition) ).
fof(c_0_15,axiom,
( epred1_0
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
inference(apply_def,[status(thm)],[ax11,c_0_14]) ).
fof(c_0_16,plain,
( ( op(e0,e0) = e3
| epred1_0 )
& ( op(e1,e1) = e3
| epred1_0 )
& ( op(e2,e2) = e3
| epred1_0 )
& ( op(e3,e3) = e3
| epred1_0 ) ),
inference(distribute,[status(thm)],[c_0_15]) ).
fof(c_0_17,plain,
( e3 != op(e1,e1)
| e2 != op(e0,e1) ),
inference(fof_nnf,[status(thm)],[ax34]) ).
cnf(c_0_18,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_19,plain,
( op(e1,e1) = e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( e3 != op(e1,e1)
| e2 != op(e0,e1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
op(op(e0,e0),e1) = op(e0,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_22,plain,
( op(e0,e0) = e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( epred1_0
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_25,plain,
( epred1_0
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_26,plain,
( op(e0,op(e0,e1)) = op(e3,e1)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax9]) ).
fof(c_0_29,plain,
( epred1_0
=> ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 ) ) ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
cnf(c_0_30,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_31,plain,
( op(e3,e3) = e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,plain,
( op(e0,e1) = e0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_33,plain,
inv(unit) = unit,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_34,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_35,plain,
( ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
cnf(c_0_36,plain,
( epred1_0
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( op(e3,e1) = op(e0,e0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_38,plain,
op(e3,inv(e3)) = unit,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_39,plain,
( inv(e3) = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_22]) ).
cnf(c_0_42,plain,
( op(e3,e3) = unit
| unit = e0
| unit = e1
| unit = e2 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_44,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| unit = e1
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_45,plain,
( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_46,plain,
( e0 != op(e3,e3)
| e2 != op(e1,e3) ),
inference(fof_nnf,[status(thm)],[ax14]) ).
cnf(c_0_47,plain,
( op(e3,e3) = e0
| unit = e2
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_42,c_0_44]) ).
cnf(c_0_48,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_49,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| op(e2,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_41])]) ).
cnf(c_0_50,plain,
( e0 != op(e3,e3)
| e2 != op(e1,e3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_51,plain,
( e1 != op(e3,e3)
| e0 != op(e2,e3) ),
inference(fof_nnf,[status(thm)],[ax18]) ).
cnf(c_0_52,plain,
( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_53,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_54,plain,
( unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_42,c_0_47]) ).
cnf(c_0_55,plain,
op(op(e2,e2),e3) = op(e2,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_56,plain,
( op(e2,e2) = e1
| op(e1,e3) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_57,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_58,plain,
( op(e3,e3) = e1
| op(e1,e3) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_43]),c_0_50]) ).
cnf(c_0_59,plain,
( e1 != op(e3,e3)
| e0 != op(e2,e3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
( op(e2,e2) = e1
| op(e2,e2) = e0
| op(e1,e1) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_41])]) ).
cnf(c_0_61,plain,
( op(e2,e2) = e2
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax10]) ).
cnf(c_0_63,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax10]) ).
cnf(c_0_64,plain,
( op(e2,op(e2,e3)) = op(e1,e3)
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_66,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_67,plain,
( op(e2,e3) != e1
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
( op(e2,e3) != e0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_69,plain,
op(op(e1,e1),e2) = op(e1,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_70,plain,
( op(e1,e1) = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_71,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_72,plain,
( op(e2,e3) = e2
| op(e1,e3) != e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67]),c_0_68]) ).
cnf(c_0_73,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_74,plain,
( e1 != op(e3,e3)
| e2 != op(e0,e3) ),
inference(fof_nnf,[status(thm)],[ax20]) ).
cnf(c_0_75,plain,
op(e2,inv(e2)) = unit,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_76,plain,
( inv(e2) = e2
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_33,c_0_54]) ).
cnf(c_0_77,plain,
( op(e1,op(e1,e2)) = op(e2,e2)
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_78,plain,
( op(e1,e2) = e1
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_71,c_0_54]) ).
cnf(c_0_79,plain,
op(op(e1,e1),e3) = op(e1,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_80,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_81,plain,
op(e1,e3) != e2,
inference(spm,[status(thm)],[c_0_66,c_0_72]) ).
cnf(c_0_82,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_83,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_84,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_41])]) ).
cnf(c_0_85,plain,
( e1 != op(e3,e3)
| e2 != op(e0,e3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,plain,
( op(e2,e2) = unit
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_87,plain,
( op(e2,e2) = op(e1,e1)
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,plain,
( op(e1,op(e1,e3)) = op(e2,e3)
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_79,c_0_70]) ).
cnf(c_0_89,plain,
( op(e1,e3) = e3
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(sr,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_90,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_41])]) ).
cnf(c_0_91,plain,
( op(e2,e2) = e0
| op(e0,e3) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_92,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax10]) ).
cnf(c_0_93,plain,
( op(e1,e1) = unit
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_94,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_95,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_96,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_66]) ).
cnf(c_0_97,plain,
( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_98,plain,
( op(e1,e1) = e0
| op(e0,e3) != e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_63]),c_0_92]) ).
cnf(c_0_99,plain,
( op(e3,e3) = e0
| op(e0,e3) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_43]),c_0_85]) ).
fof(c_0_100,plain,
( e2 != op(e0,e0)
| e3 != op(e1,e0) ),
inference(fof_nnf,[status(thm)],[ax29]) ).
cnf(c_0_101,plain,
( op(e1,op(e1,e3)) = e3
| unit = e1
| unit = e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_93]),c_0_94]) ).
cnf(c_0_102,plain,
( op(e1,e3) = e0
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_78]) ).
cnf(c_0_103,plain,
( op(e2,e2) = e1
| op(e2,e2) = e0
| op(e0,e0) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_41])]) ).
cnf(c_0_104,plain,
( op(e1,op(e1,e3)) = op(e0,e3)
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_79,c_0_98]) ).
cnf(c_0_105,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_106,plain,
( op(e1,e3) != e0
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_48,c_0_99]) ).
cnf(c_0_107,plain,
( e2 != op(e0,e0)
| e3 != op(e1,e0) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_108,plain,
( op(e1,e0) = e3
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_109,plain,
( op(e0,e0) = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_110,plain,
( op(e1,e3) = e1
| op(e0,e3) != e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_89]),c_0_105]),c_0_106]) ).
cnf(c_0_111,plain,
( unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_112,plain,
( op(e1,e1) = op(e0,e3)
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_104,c_0_110]) ).
cnf(c_0_113,plain,
( op(e0,e3) != e0
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_83,c_0_99]) ).
cnf(c_0_114,plain,
( op(e1,e3) = e3
| unit = e0 ),
inference(spm,[status(thm)],[c_0_94,c_0_111]) ).
cnf(c_0_115,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_116,plain,
op(e0,e3) != e2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_112]),c_0_113]) ).
cnf(c_0_117,plain,
( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_118,plain,
( unit = e0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_105,c_0_114]) ).
cnf(c_0_119,plain,
( op(e0,e3) = e3
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_120,plain,
( op(e1,e1) = e2
| op(e1,e1) = e0
| op(e0,e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_41])]) ).
cnf(c_0_121,plain,
( op(e1,e1) = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_71,c_0_111]) ).
cnf(c_0_122,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_123,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_124,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_62]),c_0_92]) ).
cnf(c_0_125,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_126,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_127,plain,
( op(e0,e3) = e0
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_128,plain,
( op(e0,e1) = e0
| unit = e0 ),
inference(spm,[status(thm)],[c_0_125,c_0_111]) ).
cnf(c_0_129,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_130,plain,
( e0 != op(e1,e1)
| e3 != op(e2,e1) ),
inference(fof_nnf,[status(thm)],[ax17]) ).
cnf(c_0_131,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_132,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_133,plain,
unit = e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_134,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_135,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_136,plain,
( op(e2,e2) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_41])]) ).
cnf(c_0_137,plain,
( e0 != op(e1,e1)
| e3 != op(e2,e1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_138,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_139,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_41])]) ).
cnf(c_0_140,plain,
op(e0,e0) = e0,
inference(rw,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_141,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_142,plain,
op(e0,e1) = e1,
inference(rw,[status(thm)],[c_0_134,c_0_133]) ).
cnf(c_0_143,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_144,plain,
( op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0
| op(e1,e1) != e0 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_145,plain,
op(e1,e1) = e0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140]),c_0_140]),c_0_63]),c_0_92]) ).
cnf(c_0_146,plain,
op(e2,e1) != e1,
inference(rw,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_147,plain,
op(e2,e1) != e0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_140]),c_0_140]),c_0_92]),c_0_63]) ).
cnf(c_0_148,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax9]) ).
cnf(c_0_149,plain,
op(e2,e0) = e2,
inference(rw,[status(thm)],[c_0_53,c_0_133]) ).
cnf(c_0_150,plain,
op(e2,e1) = e2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_145])]),c_0_146]),c_0_147]) ).
cnf(c_0_151,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149]),c_0_150])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG023+1 : TPTP v9.2.1. Released v2.7.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 10:16:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.01/1.91 % Version : CSE_E---1.7
% 2.01/1.91 % Problem : theBenchmark.p
% 2.01/1.91 % SZS status Unsatisfiable for theBenchmark.p
% 2.01/1.91 % SZS output start CNFRefutation
% See solution above
% 2.01/1.92 % Total time : 1.369s
%------------------------------------------------------------------------------