TSTP Solution File: ALG046+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG046+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n010.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 : Wed Aug 30 16:00:36 EDT 2023
% Result : Unsatisfiable 0.65s 0.78s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
e0: $i ).
tff(decl_23,type,
op: ( $i * $i ) > $i ).
tff(decl_24,type,
e1: $i ).
tff(decl_25,type,
e2: $i ).
tff(decl_26,type,
e3: $i ).
tff(decl_27,type,
unit: $i ).
fof(ax2,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',ax2) ).
fof(ax4,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',ax4) ).
fof(ax3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax29,axiom,
~ ( e3 = op(e2,op(e2,op(e2,e2)))
& e0 = op(e2,op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(ax27,axiom,
~ ( e3 = op(e1,op(e1,op(e1,e1)))
& e0 = op(e1,op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(ax30,axiom,
~ ( e3 = op(e2,op(e2,op(e2,e2)))
& e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
fof(ax6,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',ax6) ).
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(ax23,axiom,
~ ( e2 = op(e3,op(e3,op(e3,e3)))
& e0 = op(e3,op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(ax21,axiom,
~ ( e2 = op(e1,op(e1,op(e1,e1)))
& e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(ax22,axiom,
~ ( e2 = op(e1,op(e1,op(e1,e1)))
& e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(ax15,axiom,
~ ( e1 = op(e2,op(e2,op(e2,e2)))
& e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(ax14,axiom,
~ ( e1 = op(e0,op(e0,op(e0,e0)))
& e3 = op(e0,op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(ax16,axiom,
~ ( e1 = op(e2,op(e2,op(e2,e2)))
& e3 = op(e2,op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(ax9,axiom,
~ ( e0 = op(e2,op(e2,op(e2,e2)))
& e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(ax11,axiom,
~ ( e0 = op(e3,op(e3,op(e3,e3)))
& e1 = op(e3,op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax10,axiom,
~ ( e0 = op(e2,op(e2,op(e2,e2)))
& e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(c_0_18,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_19,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_20,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_21,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_22,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_23,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_24,plain,
( op(e3,e0) = e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_26,plain,
( op(e3,e1) = e1
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_27,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_28,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_29,plain,
( op(e0,e3) = e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_30,plain,
( op(e2,e3) = e2
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_31,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_32,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_33,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_34,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_35,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_36,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_37,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_38,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_39,plain,
( op(e3,e2) = e2
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_27,c_0_19]) ).
cnf(c_0_40,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_41,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_42,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_43,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[ax29]) ).
cnf(c_0_44,plain,
( op(e2,e2) = e0
| op(e2,e1) = e0
| unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]) ).
cnf(c_0_45,plain,
( op(e2,e2) = e1
| op(e2,e0) = e1
| unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_34]),c_0_35]),c_0_36]) ).
cnf(c_0_46,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_47,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[ax27]) ).
cnf(c_0_48,plain,
( op(e1,e3) = e1
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_19]) ).
cnf(c_0_49,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_50,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_51,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_52,plain,
( op(e2,e2) = e0
| op(e1,e2) = e0
| unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_32]),c_0_41]) ).
cnf(c_0_53,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_54,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_42,c_0_29]) ).
cnf(c_0_55,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_56,plain,
( op(e2,e0) = e1
| op(e2,e1) = e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_57,plain,
( e3 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,plain,
( op(e1,e1) = e2
| op(e1,e0) = e2
| unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_35]),c_0_50]) ).
cnf(c_0_59,plain,
( op(e1,e2) = e0
| unit = e2
| unit = e1
| unit = e0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_60,plain,
( op(e2,e1) = e0
| op(e1,e1) = e0
| unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_53]),c_0_46]),c_0_54]) ).
cnf(c_0_61,plain,
( op(e2,e0) = e1
| unit = e2
| unit = e1
| unit = e0
| op(e2,op(e2,e1)) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_45]),c_0_56]) ).
cnf(c_0_62,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_63,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_64,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_65,plain,
op(e2,e1) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_66,plain,
( op(e1,e0) = e2
| unit = e2
| unit = e1
| unit = e0
| op(e1,op(e1,e2)) != e3
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,plain,
( op(e1,e1) = e0
| op(e1,e2) = e0
| unit = e0
| unit = e1
| unit = e2 ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,plain,
( op(e2,e0) = e1
| unit = e0
| unit = e1
| unit = e2
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_61,c_0_56]) ).
cnf(c_0_69,plain,
( op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3
| unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_62]),c_0_63]) ).
cnf(c_0_70,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_71,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_72,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_73,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_48]) ).
cnf(c_0_74,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_75,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_76,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_77,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_65,c_0_30]) ).
cnf(c_0_78,plain,
( op(e1,e1) = e0
| op(e1,e0) = e2
| unit = e0
| unit = e1
| unit = e2
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_79,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_80,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_81,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_71,c_0_30]) ).
cnf(c_0_82,plain,
( op(e2,e2) = e1
| op(e0,e2) = e1
| unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_72]),c_0_35]),c_0_73]) ).
cnf(c_0_83,plain,
( op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3
| unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_74]),c_0_75]) ).
cnf(c_0_84,plain,
( op(e1,e1) = e2
| op(e0,e1) = e2
| unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_76]),c_0_35]),c_0_77]) ).
cnf(c_0_85,plain,
( op(e0,e0) = e3
| op(e1,e1) = e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_75]) ).
cnf(c_0_86,plain,
( op(e1,e0) = e2
| op(e0,e0) = e2
| unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_80]),c_0_32]),c_0_81]) ).
cnf(c_0_87,plain,
( op(e0,e2) = e1
| op(e1,e2) = e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_82]),c_0_46]) ).
cnf(c_0_88,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e1
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_70]) ).
cnf(c_0_89,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_90,plain,
( op(e0,e0) = e3
| op(e0,e1) = e2
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_32]) ).
cnf(c_0_91,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_79]),c_0_75]) ).
fof(c_0_92,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[ax30]) ).
cnf(c_0_93,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_94,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_95,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_63]) ).
cnf(c_0_96,plain,
( op(e0,e0) = e3
| unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
fof(c_0_97,plain,
( ( 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 ) ),
inference(fof_nnf,[status(thm)],[ax6]) ).
cnf(c_0_98,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_99,plain,
( e3 != op(e2,op(e2,op(e2,e2)))
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_100,plain,
( op(e2,e0) = e1
| unit = e2
| unit = e1
| unit = e0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_93,c_0_45]) ).
cnf(c_0_101,plain,
( op(e0,e2) = e1
| unit = e2
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_102,plain,
( op(e0,e0) != e3
| op(e1,e1) != e3
| op(e2,e2) != e3
| op(e3,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_103,plain,
( op(e3,e3) = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_98,c_0_19]) ).
cnf(c_0_104,plain,
( op(e2,e1) = e0
| unit = e2
| unit = e1
| unit = e0
| op(e2,op(e2,e0)) != e3
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_99,c_0_44]) ).
cnf(c_0_105,plain,
( op(e2,e0) = e1
| unit = e0
| unit = e1
| unit = e2 ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_107,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_108,plain,
( op(e1,e2) = e0
| unit = e2
| unit = e1
| unit = e0
| op(e2,op(e2,e0)) != e3
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_99,c_0_52]) ).
cnf(c_0_109,plain,
( op(e2,e0) = e1
| op(e1,e2) = e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_45]),c_0_46]) ).
cnf(c_0_110,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e0,e0) != e3
| op(e1,e1) != e3
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_111,plain,
( op(e2,e1) = e0
| unit = e0
| unit = e1
| unit = e2
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,plain,
( op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3
| unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_106]),c_0_70]) ).
cnf(c_0_113,plain,
( op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3
| unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_107]),c_0_75]) ).
cnf(c_0_114,plain,
( op(e1,e2) = e0
| unit = e0
| unit = e1
| unit = e2
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_115,plain,
( unit = e2
| unit = e1
| unit = e0
| op(e1,e1) != e3
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_110,c_0_96]) ).
cnf(c_0_116,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_63]) ).
cnf(c_0_117,plain,
( op(e2,e0) = e3
| op(e1,e2) = e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_113]),c_0_63]),c_0_114]) ).
cnf(c_0_118,plain,
( op(e0,e1) = e3
| unit = e0
| unit = e1
| unit = e2
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,plain,
( op(e1,e2) = e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_117]),c_0_70]) ).
cnf(c_0_120,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e0,e1) = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_118,c_0_83]) ).
cnf(c_0_121,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_116]),c_0_75]) ).
cnf(c_0_122,plain,
( op(e0,e1) = e3
| op(e0,e2) = e3
| unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_63]) ).
cnf(c_0_123,plain,
( op(e0,e1) = e2
| unit = e0
| unit = e1
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_121]),c_0_96]) ).
cnf(c_0_124,plain,
( op(e0,e1) = e3
| unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_122]),c_0_70]) ).
cnf(c_0_125,plain,
( unit = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_75]) ).
cnf(c_0_126,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_127,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_128,plain,
( op(e3,e2) = e3
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_98,c_0_125]) ).
cnf(c_0_129,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_126,c_0_125]) ).
cnf(c_0_130,plain,
( unit = e1
| unit = e0
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_131,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_132,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_133,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_134,plain,
( unit = e1
| unit = e0
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_65,c_0_129]) ).
cnf(c_0_135,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_136,plain,
( op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_137,plain,
( unit = e1
| unit = e0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_132,c_0_128]) ).
cnf(c_0_138,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_139,plain,
( unit = e1
| unit = e0
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_133,c_0_129]) ).
cnf(c_0_140,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_141,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_142,plain,
( op(e1,e1) = e3
| op(e0,e1) = e3
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_106]),c_0_134]) ).
cnf(c_0_143,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_144,plain,
( op(e1,e2) = e1
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_37,c_0_125]) ).
cnf(c_0_145,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_146,plain,
( op(e2,e0) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_18,c_0_125]) ).
fof(c_0_147,plain,
( e2 != op(e3,op(e3,op(e3,e3)))
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[ax23]) ).
cnf(c_0_148,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| unit = e1
| unit = e0
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_149,plain,
( op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_150,plain,
op(e1,e0) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_151,plain,
( op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_152,plain,
( op(e0,e1) = e3
| unit = e1
| unit = e0
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_153,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_154,plain,
( unit = e1
| unit = e0
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_155,plain,
( unit = e1
| unit = e0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_156,plain,
( e2 != op(e3,op(e3,op(e3,e3)))
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_157,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_158,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e1) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_159,plain,
( op(e2,e1) = e1
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_20,c_0_125]) ).
fof(c_0_160,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[ax21]) ).
cnf(c_0_161,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| unit = e1
| unit = e0
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_162,plain,
( op(e1,e0) = e2
| op(e0,e1) = e3
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_155]) ).
cnf(c_0_163,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e3,op(e3,e1)) != e2
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_164,plain,
( op(e3,e1) = e0
| op(e3,e0) = e1
| op(e3,e0) = e0
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_158]),c_0_159]) ).
cnf(c_0_165,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_166,plain,
( unit = e1
| unit = e0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_38,c_0_128]) ).
cnf(c_0_167,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_168,plain,
( op(e0,e1) = e3
| op(e1,e3) = e1
| op(e1,e3) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_169,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e2) = e1
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_46]),c_0_149]) ).
cnf(c_0_170,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_171,plain,
( op(e2,e2) = e2
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_22,c_0_125]) ).
cnf(c_0_172,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_173,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_174,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_175,plain,
( op(e1,e1) = e3
| op(e1,e0) = e3
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_165]),c_0_166]) ).
cnf(c_0_176,plain,
( op(e0,e1) = e3
| unit = e1
| unit = e0
| op(e1,op(e1,e3)) != e2
| op(e1,e3) != e0 ),
inference(spm,[status(thm)],[c_0_167,c_0_142]) ).
cnf(c_0_177,plain,
( op(e1,e3) = e0
| op(e0,e1) = e3
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_168]),c_0_144]) ).
cnf(c_0_178,plain,
( op(e3,e0) = e1
| op(e3,e0) = e0
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_169]),c_0_70]) ).
cnf(c_0_179,plain,
( unit = e1
| unit = e0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_180,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_181,plain,
( op(e1,e0) = e3
| unit = e1
| unit = e0
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_182,plain,
( op(e0,e1) = e3
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_162]) ).
cnf(c_0_183,plain,
( op(e3,e0) = e0
| op(e1,e0) = e2
| op(e0,e0) = e2
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_178]),c_0_35]),c_0_179]) ).
cnf(c_0_184,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_185,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_186,plain,
( op(e0,e0) != e2
| op(e1,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_187,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_180,c_0_128]) ).
cnf(c_0_188,plain,
( op(e1,e0) = e3
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_189,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_183]),c_0_146]) ).
cnf(c_0_190,plain,
op(e0,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_191,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_192,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_174,c_0_184]) ).
cnf(c_0_193,plain,
( unit = e1
| unit = e0
| op(e1,e1) != e1 ),
inference(spm,[status(thm)],[c_0_185,c_0_144]) ).
cnf(c_0_194,plain,
( op(e3,e3) = e1
| op(e3,e3) = e0
| unit = e0
| unit = e1
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_171]) ).
cnf(c_0_195,plain,
( op(e0,e0) = e2
| unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_75]) ).
cnf(c_0_196,plain,
( unit = e1
| unit = e0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_190,c_0_129]) ).
cnf(c_0_197,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_198,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| unit = e1
| unit = e0
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_191,c_0_151]) ).
cnf(c_0_199,plain,
( op(e1,e1) = e0
| op(e1,e1) = e2
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_182]),c_0_193]) ).
cnf(c_0_200,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| unit = e1
| unit = e0
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_201,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_202,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_203,plain,
( op(e1,e1) = e0
| op(e1,e3) = e1
| op(e1,e3) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_204,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_205,plain,
( op(e1,e1) = e0
| op(e3,e3) = e1
| op(e3,e3) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_200,c_0_199]) ).
cnf(c_0_206,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| unit = e1
| unit = e0
| op(e0,e0) != e2 ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_207,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_208,plain,
( op(e1,e3) = e0
| op(e1,e1) = e0
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_203]),c_0_144]) ).
cnf(c_0_209,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| unit = e1
| unit = e0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_210,plain,
( op(e0,e3) = e1
| op(e0,e3) = e0
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_206,c_0_195]) ).
cnf(c_0_211,plain,
( op(e1,e1) = e0
| unit = e0
| unit = e1
| op(e0,e3) != e0 ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
fof(c_0_212,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[ax22]) ).
cnf(c_0_213,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_214,plain,
( op(e1,e1) = e0
| op(e3,e3) = e0
| unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]) ).
cnf(c_0_215,plain,
( e2 != op(e1,op(e1,op(e1,e1)))
| e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_216,plain,
( op(e1,e1) = e0
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_208]) ).
cnf(c_0_217,plain,
( unit = e0
| unit = e1
| op(e1,op(e1,e0)) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_188]) ).
cnf(c_0_218,plain,
( unit = e1
| unit = e0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_217,c_0_188]) ).
cnf(c_0_219,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_218,c_0_151]) ).
cnf(c_0_220,plain,
( op(e1,e3) = e0
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_219]),c_0_144]) ).
cnf(c_0_221,plain,
( unit = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_220]),c_0_216]) ).
cnf(c_0_222,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_223,plain,
( op(e1,e3) = e3
| unit = e0 ),
inference(spm,[status(thm)],[c_0_126,c_0_221]) ).
cnf(c_0_224,plain,
( op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_133,c_0_222]) ).
cnf(c_0_225,plain,
( op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_127,c_0_74]) ).
cnf(c_0_226,plain,
( op(e3,e1) = e3
| unit = e0 ),
inference(spm,[status(thm)],[c_0_98,c_0_221]) ).
cnf(c_0_227,plain,
( unit = e0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_64,c_0_223]) ).
cnf(c_0_228,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_224,c_0_223]) ).
cnf(c_0_229,plain,
( op(e2,e1) = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_22,c_0_221]) ).
cnf(c_0_230,plain,
( op(e0,e2) = e3
| op(e2,e2) = e3
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).
cnf(c_0_231,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_232,plain,
( e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[ax15]) ).
cnf(c_0_233,plain,
( op(e2,e3) = e1
| op(e2,e3) = e0
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_228]),c_0_229]) ).
cnf(c_0_234,plain,
( op(e0,e2) = e3
| unit = e0
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_170,c_0_230]) ).
cnf(c_0_235,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_236,plain,
( unit = e0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_231,c_0_229]) ).
cnf(c_0_237,plain,
( e1 != op(e2,op(e2,op(e2,e2)))
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_238,plain,
( op(e2,e3) = e0
| unit = e0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_71,c_0_233]) ).
cnf(c_0_239,plain,
( op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e2) = e3
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).
cnf(c_0_240,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_241,plain,
( op(e0,e2) = e3
| unit = e0
| op(e2,op(e2,e3)) != e1
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_237,c_0_230]) ).
cnf(c_0_242,plain,
( op(e0,e2) = e3
| op(e2,e0) = e0
| op(e2,e3) = e0
| unit = e0 ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_243,plain,
( op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_94,c_0_240]) ).
cnf(c_0_244,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_245,plain,
( op(e2,e0) = e0
| op(e0,e2) = e3
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_239]) ).
cnf(c_0_246,plain,
( op(e1,e0) = e0
| unit = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_221]) ).
cnf(c_0_247,plain,
( op(e0,e1) = e0
| unit = e0 ),
inference(spm,[status(thm)],[c_0_21,c_0_221]) ).
fof(c_0_248,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[ax14]) ).
cnf(c_0_249,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_250,plain,
( op(e0,e2) = e3
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_245]),c_0_246]) ).
cnf(c_0_251,plain,
( unit = e0
| op(e0,e0) != e0 ),
inference(spm,[status(thm)],[c_0_89,c_0_247]) ).
cnf(c_0_252,plain,
( unit = e0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_207,c_0_223]) ).
cnf(c_0_253,plain,
( e1 != op(e0,op(e0,op(e0,e0)))
| e3 != op(e0,op(e0,e0))
| e2 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_248]) ).
cnf(c_0_254,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| unit = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_63]),c_0_70]),c_0_75]),c_0_251]) ).
cnf(c_0_255,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_256,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0
| unit = e0 ),
inference(spm,[status(thm)],[c_0_252,c_0_197]) ).
cnf(c_0_257,plain,
( op(e0,e0) = e1
| unit = e0
| op(e0,op(e0,e2)) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_250]) ).
cnf(c_0_258,plain,
( op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_127,c_0_255]) ).
cnf(c_0_259,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_260,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| unit = e0
| op(e0,e0) != e2 ),
inference(spm,[status(thm)],[c_0_201,c_0_256]) ).
cnf(c_0_261,plain,
( op(e0,e0) = e1
| unit = e0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_257,c_0_250]) ).
cnf(c_0_262,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_263,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_258,c_0_226]) ).
cnf(c_0_264,plain,
( op(e1,e2) = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_27,c_0_221]) ).
cnf(c_0_265,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_93,c_0_259]) ).
cnf(c_0_266,plain,
( op(e0,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| op(e3,e3) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_267,plain,
( op(e0,e0) = e1
| op(e0,e3) = e0
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_254]),c_0_261]) ).
cnf(c_0_268,plain,
( op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_172,c_0_262]) ).
cnf(c_0_269,plain,
( op(e3,e2) = e1
| op(e3,e2) = e0
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_263]),c_0_264]) ).
cnf(c_0_270,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_271,plain,
op(e1,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_272,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_265,c_0_250]) ).
cnf(c_0_273,plain,
( op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e0,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_266,c_0_262]) ).
cnf(c_0_274,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_267]),c_0_247]) ).
cnf(c_0_275,plain,
( op(e1,e1) = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_221]) ).
cnf(c_0_276,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_277,plain,
( op(e3,e2) = e0
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_278,plain,
( op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_133,c_0_107]) ).
cnf(c_0_279,plain,
( unit = e0
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_25,c_0_226]) ).
cnf(c_0_280,plain,
( op(e2,e3) = e0
| unit = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_270,c_0_233]) ).
cnf(c_0_281,plain,
( op(e2,e2) = e1
| op(e2,e2) = e0
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_264]) ).
cnf(c_0_282,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| unit = e0
| op(e2,e2) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275]) ).
cnf(c_0_283,plain,
( op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| unit = e0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_284,plain,
( op(e2,e0) = e3
| op(e2,e2) = e3
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_223]),c_0_279]) ).
fof(c_0_285,plain,
( e1 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[ax16]) ).
cnf(c_0_286,plain,
( op(e2,e2) = e0
| op(e2,e3) = e0
| unit = e0 ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_287,plain,
( op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_281]),c_0_283]) ).
cnf(c_0_288,plain,
( op(e2,e0) = e3
| unit = e0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_93,c_0_284]) ).
cnf(c_0_289,plain,
( e1 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_285]) ).
cnf(c_0_290,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e2) = e0
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_46]) ).
cnf(c_0_291,plain,
( op(e2,e0) = e3
| unit = e0 ),
inference(spm,[status(thm)],[c_0_288,c_0_250]) ).
cnf(c_0_292,plain,
( op(e1,e3) = e1
| op(e0,e3) = e1
| unit = e0
| op(e2,op(e2,e0)) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291]) ).
cnf(c_0_293,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_291]),c_0_287]) ).
cnf(c_0_294,plain,
( op(e0,e3) = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_293]),c_0_70]) ).
cnf(c_0_295,plain,
unit = e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_294]),c_0_274]) ).
cnf(c_0_296,plain,
op(e2,e0) = e2,
inference(rw,[status(thm)],[c_0_22,c_0_295]) ).
cnf(c_0_297,plain,
( op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_190,c_0_222]) ).
cnf(c_0_298,plain,
op(e0,e3) = e3,
inference(rw,[status(thm)],[c_0_126,c_0_295]) ).
cnf(c_0_299,plain,
op(e2,e3) != e2,
inference(rw,[status(thm)],[c_0_71,c_0_296]) ).
fof(c_0_300,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[ax9]) ).
cnf(c_0_301,plain,
op(e1,e0) = e1,
inference(rw,[status(thm)],[c_0_37,c_0_295]) ).
cnf(c_0_302,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_298])]),c_0_299]) ).
cnf(c_0_303,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_300]) ).
cnf(c_0_304,plain,
( op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_268,c_0_72]) ).
cnf(c_0_305,plain,
op(e0,e2) = e2,
inference(rw,[status(thm)],[c_0_27,c_0_295]) ).
cnf(c_0_306,plain,
op(e1,e2) != e1,
inference(rw,[status(thm)],[c_0_143,c_0_301]) ).
cnf(c_0_307,plain,
op(e1,e3) != e1,
inference(rw,[status(thm)],[c_0_150,c_0_301]) ).
cnf(c_0_308,plain,
( op(e2,e3) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_270,c_0_302]) ).
cnf(c_0_309,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| op(e2,op(e2,e3)) != e0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_303,c_0_259]) ).
cnf(c_0_310,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1 ),
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_304,c_0_298]),c_0_70]),c_0_305]),c_0_306]),c_0_35]),c_0_307]) ).
cnf(c_0_311,plain,
op(e2,e2) != e2,
inference(rw,[status(thm)],[c_0_93,c_0_305]) ).
cnf(c_0_312,plain,
( op(e2,e1) != e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_65,c_0_308]) ).
fof(c_0_313,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[ax11]) ).
cnf(c_0_314,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_315,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_316,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_317,plain,
op(e0,e1) = e1,
inference(rw,[status(thm)],[c_0_20,c_0_295]) ).
cnf(c_0_318,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_319,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_320,plain,
( op(e2,e2) = e0
| op(e2,e1) != e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311]),c_0_312]) ).
cnf(c_0_321,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_322,plain,
( e0 != op(e3,op(e3,op(e3,e3)))
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_313]) ).
cnf(c_0_323,plain,
( op(e3,e3) = e2
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_298]),c_0_75]),c_0_299]) ).
cnf(c_0_324,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_315,c_0_157]) ).
cnf(c_0_325,plain,
op(e3,e0) = e3,
inference(rw,[status(thm)],[c_0_98,c_0_295]) ).
cnf(c_0_326,plain,
op(e3,e1) != e1,
inference(rw,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_327,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_298]),c_0_70]),c_0_307]) ).
cnf(c_0_328,plain,
( op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_213,c_0_318]) ).
cnf(c_0_329,plain,
op(e3,e2) != e2,
inference(rw,[status(thm)],[c_0_319,c_0_305]) ).
cnf(c_0_330,plain,
op(e2,e1) != e0,
inference(spm,[status(thm)],[c_0_51,c_0_320]) ).
cnf(c_0_331,plain,
( op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_321,c_0_314]) ).
cnf(c_0_332,plain,
( op(e1,e3) = e2
| op(e3,op(e3,e2)) != e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_333,plain,
( op(e3,e2) = e1
| op(e2,e3) != e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_324,c_0_325]),c_0_70]),c_0_326]) ).
cnf(c_0_334,plain,
( op(e2,e3) = e1
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_327]),c_0_35]) ).
cnf(c_0_335,plain,
( op(e3,e1) = e2
| op(e1,e3) != e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_325]),c_0_75]),c_0_329]) ).
cnf(c_0_336,plain,
( op(e3,e1) = e0
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_317]),c_0_46]),c_0_330]) ).
cnf(c_0_337,plain,
( op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2 ),
inference(spm,[status(thm)],[c_0_331,c_0_76]) ).
cnf(c_0_338,plain,
op(e2,e1) != e2,
inference(rw,[status(thm)],[c_0_231,c_0_296]) ).
cnf(c_0_339,plain,
( op(e1,e3) = e2
| op(e3,e1) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_334]) ).
cnf(c_0_340,plain,
( op(e1,e1) = e0
| op(e1,e3) != e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_32]) ).
cnf(c_0_341,plain,
( op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_207,c_0_165]) ).
cnf(c_0_342,plain,
( op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_343,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_344,plain,
( op(e1,e3) = e2
| op(e1,e1) = e2 ),
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_337,c_0_298]),c_0_75]),c_0_317]),c_0_338]),c_0_35]),c_0_299]) ).
cnf(c_0_345,plain,
op(e1,e1) = e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_336]),c_0_340]) ).
cnf(c_0_346,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_341,c_0_197]) ).
cnf(c_0_347,plain,
( op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0
| op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
cnf(c_0_348,plain,
op(e1,e3) = e2,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_345]),c_0_32]) ).
cnf(c_0_349,plain,
op(e0,e0) = e0,
inference(rw,[status(thm)],[c_0_18,c_0_295]) ).
cnf(c_0_350,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_305]),c_0_32]) ).
cnf(c_0_351,plain,
( op(e1,e2) = e3
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_298]),c_0_298]),c_0_298]),c_0_75]),c_0_70]),c_0_63]),c_0_301]),c_0_70]) ).
cnf(c_0_352,plain,
( op(e2,e3) = e0
| op(e2,e2) != e0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_298]),c_0_63]),c_0_348]),c_0_349]),c_0_345])]),c_0_32]) ).
cnf(c_0_353,plain,
( op(e1,e2) = e0
| op(e2,e2) = e0
| op(e2,e3) != e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_350]),c_0_46]) ).
cnf(c_0_354,plain,
op(e1,e2) = e3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_351,c_0_345]),c_0_63]) ).
cnf(c_0_355,plain,
op(e2,e2) != e0,
inference(spm,[status(thm)],[c_0_270,c_0_352]) ).
cnf(c_0_356,plain,
( op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_135,c_0_106]) ).
fof(c_0_357,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[ax10]) ).
cnf(c_0_358,plain,
op(e2,e3) != e1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_354]),c_0_63]),c_0_355]) ).
cnf(c_0_359,plain,
( op(e1,e1) = e3
| op(e2,e1) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_317]),c_0_70]),c_0_325])]) ).
cnf(c_0_360,plain,
( e0 != op(e2,op(e2,op(e2,e2)))
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_357]) ).
cnf(c_0_361,plain,
op(e2,e2) = e1,
inference(sr,[status(thm)],[c_0_310,c_0_358]) ).
cnf(c_0_362,plain,
op(e2,e1) = e3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_345]),c_0_63]) ).
cnf(c_0_363,plain,
op(e2,e3) = e0,
inference(sr,[status(thm)],[c_0_302,c_0_358]) ).
cnf(c_0_364,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_361]),c_0_362]),c_0_363]),c_0_361]),c_0_362]),c_0_361])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG046+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 03:07:49 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.65/0.78 % Version : CSE_E---1.5
% 0.65/0.78 % Problem : theBenchmark.p
% 0.65/0.78 % Proof found
% 0.65/0.78 % SZS status Theorem for theBenchmark.p
% 0.65/0.78 % SZS output start Proof
% See solution above
% 0.65/0.80 % Total time : 0.180000 s
% 0.65/0.80 % SZS output end Proof
% 0.65/0.80 % Total time : 0.185000 s
%------------------------------------------------------------------------------