%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG017+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 04:04:00 PM UTC 2026
% Result : Theorem 0.36s 1.62s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_12)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ( 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 ) )
& ~ ( ( 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',co1) ).
fof(ax7,axiom,
( ( inv(e0) = e0
=> inv(e0) = e0 )
& ( inv(e0) = e1
=> inv(e1) = e0 )
& ( inv(e0) = e2
=> inv(e2) = e0 )
& ( inv(e0) = e3
=> inv(e3) = e0 )
& ( inv(e1) = e0
=> inv(e0) = e1 )
& ( inv(e1) = e1
=> inv(e1) = e1 )
& ( inv(e1) = e2
=> inv(e2) = e1 )
& ( inv(e1) = e3
=> inv(e3) = e1 )
& ( inv(e2) = e0
=> inv(e0) = e2 )
& ( inv(e2) = e1
=> inv(e1) = e2 )
& ( inv(e2) = e2
=> inv(e2) = e2 )
& ( inv(e2) = e3
=> inv(e3) = e2 )
& ( inv(e3) = e0
=> inv(e0) = e3 )
& ( inv(e3) = e1
=> inv(e1) = e3 )
& ( inv(e3) = e2
=> inv(e2) = e3 )
& ( inv(e3) = e3
=> inv(e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
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(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(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(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(ax11,axiom,
( e0 = op(e3,e3)
& e1 = op(e2,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax8,axiom,
( inv(e0) != inv(e1)
& inv(e0) != inv(e2)
& inv(e0) != inv(e3)
& inv(e1) != inv(e2)
& inv(e1) != inv(e3)
& inv(e2) != inv(e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(ax6,axiom,
( inv(inv(e0)) = e0
& inv(inv(e1)) = e1
& inv(inv(e2)) = e2
& inv(inv(e3)) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax5,axiom,
inv(unit) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax10,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(i_0_12,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(i_0_13,negated_conjecture,
~ ~ ( ( epred1_0
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) )
& ~ ( epred1_0
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_12]),c_0_12]) ).
fof(i_0_14,plain,
( ( inv(e0) = e1
=> inv(e1) = e0 )
& ( inv(e0) = e2
=> inv(e2) = e0 )
& ( inv(e0) = e3
=> inv(e3) = e0 )
& ( inv(e1) = e0
=> inv(e0) = e1 )
& ( inv(e1) = e2
=> inv(e2) = e1 )
& ( inv(e1) = e3
=> inv(e3) = e1 )
& ( inv(e2) = e0
=> inv(e0) = e2 )
& ( inv(e2) = e1
=> inv(e1) = e2 )
& ( inv(e2) = e3
=> inv(e3) = e2 )
& ( inv(e3) = e0
=> inv(e0) = e3 )
& ( inv(e3) = e1
=> inv(e1) = e3 )
& ( inv(e3) = e2
=> inv(e2) = e3 ) ),
inference(fof_simplification,[status(thm)],[ax7]) ).
fof(i_0_15,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 )
& ( op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0
| epred1_0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| op(e3,e3) != e1
| epred1_0 )
& ( op(e0,e0) != e2
| op(e1,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) != e2
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_12])]) ).
fof(i_0_16,negated_conjecture,
( ( op(e0,e0) = e3
| epred1_0 )
& ( op(e1,e1) = e3
| epred1_0 )
& ( op(e2,e2) = e3
| epred1_0 )
& ( op(e3,e3) = e3
| epred1_0 )
& ~ epred1_0
& ( op(e0,e0) != e3
| op(e1,e1) != e3
| op(e2,e2) != e3
| op(e3,e3) != e3 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_13])]) ).
fof(i_0_17,plain,
( ( inv(e0) != e1
| inv(e1) = e0 )
& ( inv(e0) != e2
| inv(e2) = e0 )
& ( inv(e0) != e3
| inv(e3) = e0 )
& ( inv(e1) != e0
| inv(e0) = e1 )
& ( inv(e1) != e2
| inv(e2) = e1 )
& ( inv(e1) != e3
| inv(e3) = e1 )
& ( inv(e2) != e0
| inv(e0) = e2 )
& ( inv(e2) != e1
| inv(e1) = e2 )
& ( inv(e2) != e3
| inv(e3) = e2 )
& ( inv(e3) != e0
| inv(e0) = e3 )
& ( inv(e3) != e1
| inv(e1) = e3 )
& ( inv(e3) != e2
| inv(e2) = e3 ) ),
inference(fof_nnf,[status(thm)],[i_0_14]) ).
cnf(i_0_18,plain,
( epred1_0
| op(e0,e0) != e2
| op(e1,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) != e2 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_19,plain,
( epred1_0
| op(e0,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| op(e3,e3) != e1 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_20,plain,
( epred1_0
| op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_21,negated_conjecture,
( op(e0,e0) != e3
| op(e1,e1) != e3
| op(e2,e2) != e3
| op(e3,e3) != e3 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_22,plain,
op(op(e3,e3),e3) = op(e3,op(e3,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_23,plain,
op(op(e3,e3),e2) = op(e3,op(e3,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_24,plain,
op(op(e3,e3),e1) = op(e3,op(e3,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_25,plain,
op(op(e3,e3),e0) = op(e3,op(e3,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_26,plain,
op(op(e3,e2),e3) = op(e3,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_27,plain,
op(op(e3,e2),e2) = op(e3,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_28,plain,
op(op(e3,e2),e1) = op(e3,op(e2,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_29,plain,
op(op(e3,e2),e0) = op(e3,op(e2,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_30,plain,
op(op(e3,e1),e3) = op(e3,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_31,plain,
op(op(e3,e1),e2) = op(e3,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_32,plain,
op(op(e3,e1),e1) = op(e3,op(e1,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_33,plain,
op(op(e3,e1),e0) = op(e3,op(e1,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_34,plain,
op(op(e3,e0),e3) = op(e3,op(e0,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_35,plain,
op(op(e3,e0),e2) = op(e3,op(e0,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_36,plain,
op(op(e3,e0),e1) = op(e3,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_37,plain,
op(op(e3,e0),e0) = op(e3,op(e0,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_38,plain,
op(op(e2,e3),e3) = op(e2,op(e3,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_39,plain,
op(op(e2,e3),e2) = op(e2,op(e3,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_40,plain,
op(op(e2,e3),e1) = op(e2,op(e3,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_41,plain,
op(op(e2,e3),e0) = op(e2,op(e3,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_42,plain,
op(op(e2,e2),e3) = op(e2,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_43,plain,
op(op(e2,e2),e2) = op(e2,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_44,plain,
op(op(e2,e2),e1) = op(e2,op(e2,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_45,plain,
op(op(e2,e2),e0) = op(e2,op(e2,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_46,plain,
op(op(e2,e1),e3) = op(e2,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_47,plain,
op(op(e2,e1),e2) = op(e2,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_48,plain,
op(op(e2,e1),e1) = op(e2,op(e1,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_49,plain,
op(op(e2,e1),e0) = op(e2,op(e1,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_50,plain,
op(op(e2,e0),e3) = op(e2,op(e0,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_51,plain,
op(op(e2,e0),e2) = op(e2,op(e0,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_52,plain,
op(op(e2,e0),e1) = op(e2,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_53,plain,
op(op(e2,e0),e0) = op(e2,op(e0,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_54,plain,
op(op(e1,e3),e3) = op(e1,op(e3,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_55,plain,
op(op(e1,e3),e2) = op(e1,op(e3,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_56,plain,
op(op(e1,e3),e1) = op(e1,op(e3,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_57,plain,
op(op(e1,e3),e0) = op(e1,op(e3,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_58,plain,
op(op(e1,e2),e3) = op(e1,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_59,plain,
op(op(e1,e2),e2) = op(e1,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_60,plain,
op(op(e1,e2),e1) = op(e1,op(e2,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_61,plain,
op(op(e1,e2),e0) = op(e1,op(e2,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_62,plain,
op(op(e1,e1),e3) = op(e1,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_63,plain,
op(op(e1,e1),e2) = op(e1,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_64,plain,
op(op(e1,e1),e1) = op(e1,op(e1,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_65,plain,
op(op(e1,e1),e0) = op(e1,op(e1,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_66,plain,
op(op(e1,e0),e3) = op(e1,op(e0,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_67,plain,
op(op(e1,e0),e2) = op(e1,op(e0,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_68,plain,
op(op(e1,e0),e1) = op(e1,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_69,plain,
op(op(e1,e0),e0) = op(e1,op(e0,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_70,plain,
op(op(e0,e3),e3) = op(e0,op(e3,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_71,plain,
op(op(e0,e3),e2) = op(e0,op(e3,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_72,plain,
op(op(e0,e3),e1) = op(e0,op(e3,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_73,plain,
op(op(e0,e3),e0) = op(e0,op(e3,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_74,plain,
op(op(e0,e2),e3) = op(e0,op(e2,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_75,plain,
op(op(e0,e2),e2) = op(e0,op(e2,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_76,plain,
op(op(e0,e2),e1) = op(e0,op(e2,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_77,plain,
op(op(e0,e2),e0) = op(e0,op(e2,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_78,plain,
op(op(e0,e1),e3) = op(e0,op(e1,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_79,plain,
op(op(e0,e1),e2) = op(e0,op(e1,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_80,plain,
op(op(e0,e1),e1) = op(e0,op(e1,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_81,plain,
op(op(e0,e1),e0) = op(e0,op(e1,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_82,plain,
op(op(e0,e0),e3) = op(e0,op(e0,e3)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_83,plain,
op(op(e0,e0),e2) = op(e0,op(e0,e2)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_84,plain,
op(op(e0,e0),e1) = op(e0,op(e0,e1)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_85,plain,
op(op(e0,e0),e0) = op(e0,op(e0,e0)),
inference(split_conjunct,[status(thm)],[ax2]),
[final] ).
cnf(i_0_86,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_87,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_88,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_89,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_90,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_91,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_92,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_93,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_94,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_95,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_96,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_97,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_98,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_99,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_100,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_101,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]),
[final] ).
cnf(i_0_102,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_103,plain,
( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_104,plain,
( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_105,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_106,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_107,plain,
( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_108,plain,
( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_109,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_110,plain,
( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_111,plain,
( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_112,plain,
( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_113,plain,
( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_114,plain,
( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_115,plain,
( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_116,plain,
( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_117,plain,
( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_118,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_119,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_120,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_121,plain,
( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_122,plain,
( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_123,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_124,plain,
( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_125,plain,
( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_126,plain,
( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_127,plain,
( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_128,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_129,plain,
( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_130,plain,
( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_131,plain,
( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_132,plain,
( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_133,plain,
( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_134,plain,
( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_135,plain,
( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_136,plain,
( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_137,plain,
( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_138,plain,
( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_139,plain,
( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_140,plain,
( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_141,plain,
( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_142,plain,
( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_143,plain,
( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_144,plain,
( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_145,plain,
( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_146,plain,
( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_147,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_148,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_149,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_150,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_151,plain,
( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_152,plain,
( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_153,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_154,plain,
( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_155,plain,
( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_156,plain,
( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_157,plain,
( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_158,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_159,plain,
( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_160,plain,
( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_161,plain,
( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_162,plain,
( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_163,plain,
( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_164,plain,
( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_165,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_166,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_167,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_168,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_169,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_170,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_171,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_172,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_173,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_174,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_175,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_176,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_177,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_178,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_179,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_180,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_181,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_182,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_183,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_184,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_185,plain,
op(e2,e1) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_186,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_187,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_188,plain,
op(e0,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_189,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_190,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_191,plain,
op(e1,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_192,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_193,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_194,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_195,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_196,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_197,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_198,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_199,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_200,plain,
op(e1,e0) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_201,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_202,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_203,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_204,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_205,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_206,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_207,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_208,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_209,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_210,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_211,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_212,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_213,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[ax9]),
[final] ).
cnf(i_0_214,plain,
op(inv(e3),e3) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_215,plain,
op(inv(e2),e2) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_216,plain,
op(inv(e1),e1) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_217,plain,
op(inv(e0),e0) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_218,plain,
op(e3,inv(e3)) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_219,plain,
op(e2,inv(e2)) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_220,plain,
op(e1,inv(e1)) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_221,plain,
op(e0,inv(e0)) = unit,
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_222,plain,
( inv(e3) = e0
| inv(e3) = e1
| inv(e3) = e2
| inv(e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_223,plain,
( inv(e2) = e0
| inv(e2) = e1
| inv(e2) = e2
| inv(e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_224,plain,
( inv(e1) = e0
| inv(e1) = e1
| inv(e1) = e2
| inv(e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_225,plain,
( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax4]),
[final] ).
cnf(i_0_226,negated_conjecture,
( op(e3,e3) = e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_227,negated_conjecture,
( op(e2,e2) = e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_228,negated_conjecture,
( op(e1,e1) = e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_229,negated_conjecture,
( op(e0,e0) = e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_230,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_231,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_232,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_233,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_234,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_235,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_236,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_237,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_238,plain,
e1 = op(e2,e3),
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_239,plain,
e0 = op(e3,e3),
inference(split_conjunct,[status(thm)],[ax11]),
[final] ).
cnf(i_0_240,plain,
inv(e2) != inv(e3),
inference(split_conjunct,[status(thm)],[ax8]),
[final] ).
cnf(i_0_241,plain,
inv(e1) != inv(e3),
inference(split_conjunct,[status(thm)],[ax8]),
[final] ).
cnf(i_0_242,plain,
inv(e0) != inv(e3),
inference(split_conjunct,[status(thm)],[ax8]),
[final] ).
cnf(i_0_243,plain,
inv(e1) != inv(e2),
inference(split_conjunct,[status(thm)],[ax8]),
[final] ).
cnf(i_0_244,plain,
inv(e0) != inv(e2),
inference(split_conjunct,[status(thm)],[ax8]),
[final] ).
cnf(i_0_245,plain,
inv(e0) != inv(e1),
inference(split_conjunct,[status(thm)],[ax8]),
[final] ).
cnf(i_0_246,plain,
( inv(e3) = e2
| inv(e2) != e3 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_247,plain,
( inv(e3) = e1
| inv(e1) != e3 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_248,plain,
( inv(e3) = e0
| inv(e0) != e3 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_249,plain,
( inv(e2) = e3
| inv(e3) != e2 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_250,plain,
( inv(e2) = e1
| inv(e1) != e2 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_251,plain,
( inv(e2) = e0
| inv(e0) != e2 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_252,plain,
( inv(e1) = e3
| inv(e3) != e1 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_253,plain,
( inv(e1) = e2
| inv(e2) != e1 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_254,plain,
( inv(e1) = e0
| inv(e0) != e1 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_255,plain,
( inv(e0) = e3
| inv(e3) != e0 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_256,plain,
( inv(e0) = e2
| inv(e2) != e0 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_257,plain,
( inv(e0) = e1
| inv(e1) != e0 ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_258,plain,
inv(inv(e3)) = e3,
inference(split_conjunct,[status(thm)],[ax6]),
[final] ).
cnf(i_0_259,plain,
inv(inv(e2)) = e2,
inference(split_conjunct,[status(thm)],[ax6]),
[final] ).
cnf(i_0_260,plain,
inv(inv(e1)) = e1,
inference(split_conjunct,[status(thm)],[ax6]),
[final] ).
cnf(i_0_261,plain,
inv(inv(e0)) = e0,
inference(split_conjunct,[status(thm)],[ax6]),
[final] ).
cnf(i_0_262,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(split_conjunct,[status(thm)],[ax3]),
[final] ).
cnf(i_0_263,plain,
inv(unit) = unit,
inference(split_conjunct,[status(thm)],[ax5]),
[final] ).
cnf(i_0_264,negated_conjecture,
~ epred1_0,
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_265,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_266,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_267,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_268,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_269,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_270,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax10]),
[final] ).
cnf(i_0_271,axiom,
X1 = X1 ).
cnf(i_0_272,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_273,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_274,axiom,
( X1 != X2
| op(X1,X3) = op(X2,X3) ) ).
cnf(i_0_275,axiom,
( X1 != X2
| op(X3,X1) = op(X3,X2) ) ).
cnf(i_0_276,axiom,
( X1 != X2
| inv(X1) = inv(X2) ) ).
cnf(i_0_271_001,axiom,
X1 = X1 ).
cnf(i_0_272_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_273_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_274_004,axiom,
( X1 != X2
| op(X1,X3) = op(X2,X3) ) ).
cnf(i_0_275_005,axiom,
( X1 != X2
| op(X3,X1) = op(X3,X2) ) ).
cnf(i_0_276_006,axiom,
( X1 != X2
| inv(X1) = inv(X2) ) ).
cnf(i_0_277,plain,
( op(e0,e0) != e2
| op(e1,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) != e2 ),
inference(scs_inference,[],[i_0_264,i_0_18]) ).
cnf(i_0_278,plain,
( op(e0,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| op(e3,e3) != e1 ),
inference(scs_inference,[],[i_0_264,i_0_19]) ).
cnf(i_0_279,plain,
( op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 ),
inference(scs_inference,[],[i_0_264,i_0_20]) ).
cnf(i_0_280,plain,
op(e3,e3) = e3,
inference(scs_inference,[],[i_0_264,i_0_226]) ).
cnf(i_0_281,plain,
op(e2,e2) = e3,
inference(scs_inference,[],[i_0_264,i_0_227]) ).
cnf(i_0_282,plain,
op(e1,e1) = e3,
inference(scs_inference,[],[i_0_264,i_0_228]) ).
cnf(i_0_283,plain,
op(e0,e0) = e3,
inference(scs_inference,[],[i_0_264,i_0_229]) ).
cnf(i_0_284,plain,
op(e3,e3) = e0,
inference(scs_inference,[],[i_0_239,i_0_272]) ).
cnf(i_0_285,plain,
op(e3,e2) != e0,
inference(scs_inference,[],[i_0_166,i_0_239,i_0_272,i_0_273]) ).
cnf(i_0_286,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1 ),
inference(scs_inference,[],[i_0_166,i_0_239,i_0_272,i_0_273,i_0_87]) ).
cnf(i_0_287,plain,
e3 = op(e3,e3),
inference(scs_inference,[],[i_0_280,i_0_272]) ).
cnf(i_0_288,plain,
e2 != op(e3,e3),
inference(scs_inference,[],[i_0_280,i_0_265,i_0_272,i_0_273]) ).
cnf(i_0_289,plain,
$false,
inference(scs_inference,[],[i_0_280,i_0_281,i_0_282,i_0_283,i_0_265,i_0_272,i_0_273,i_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG017+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 10:16:11 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.36/1.62 % Version : CSE_E---1.7
% 0.36/1.62 % Problem : theBenchmark.p
% 0.36/1.62 % SZS status Theorem for theBenchmark.p
% 0.36/1.62 % SZS output start CNFRefutation
% See solution above
% 0.36/1.66 % Total time : 1.274s
%------------------------------------------------------------------------------