TSTP Solution File: ALG082+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG082+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n028.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 Aug 22 10:31:07 EDT 2023
% Result : Theorem 8.24s 2.99s
% Output : CNFRefutation 8.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 169 ( 139 unt; 14 typ; 0 def)
% Number of atoms : 357 ( 338 equ)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 228 ( 26 ~; 76 |; 125 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op2 > op1 > #nlpp > j > h > e24 > e23 > e22 > e21 > e20 > e14 > e13 > e12 > e11 > e10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e21,type,
e21: $i ).
tff(e24,type,
e24: $i ).
tff(e20,type,
e20: $i ).
tff(e13,type,
e13: $i ).
tff(e22,type,
e22: $i ).
tff(op2,type,
op2: ( $i * $i ) > $i ).
tff(op1,type,
op1: ( $i * $i ) > $i ).
tff(e10,type,
e10: $i ).
tff(h,type,
h: $i > $i ).
tff(e23,type,
e23: $i ).
tff(e14,type,
e14: $i ).
tff(e12,type,
e12: $i ).
tff(j,type,
j: $i > $i ).
tff(e11,type,
e11: $i ).
tff(f_54,axiom,
( ( e10 != e11 )
& ( e10 != e12 )
& ( e10 != e13 )
& ( e10 != e14 )
& ( e11 != e12 )
& ( e11 != e13 )
& ( e11 != e14 )
& ( e12 != e13 )
& ( e12 != e14 )
& ( e13 != e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f_206,axiom,
( ( op1(e10,e10) = e10 )
& ( op1(e10,e11) = e11 )
& ( op1(e10,e12) = e12 )
& ( op1(e10,e13) = e13 )
& ( op1(e10,e14) = e14 )
& ( op1(e11,e10) = e11 )
& ( op1(e11,e11) = e14 )
& ( op1(e11,e12) = e10 )
& ( op1(e11,e13) = e12 )
& ( op1(e11,e14) = e13 )
& ( op1(e12,e10) = e12 )
& ( op1(e12,e11) = e10 )
& ( op1(e12,e12) = e13 )
& ( op1(e12,e13) = e14 )
& ( op1(e12,e14) = e11 )
& ( op1(e13,e10) = e13 )
& ( op1(e13,e11) = e12 )
& ( op1(e13,e12) = e14 )
& ( op1(e13,e13) = e11 )
& ( op1(e13,e14) = e10 )
& ( op1(e14,e10) = e14 )
& ( op1(e14,e11) = e13 )
& ( op1(e14,e12) = e11 )
& ( op1(e14,e13) = e10 )
& ( op1(e14,e14) = e12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f_476,negated_conjecture,
~ ( ( ( ( h(e10) = e20 )
| ( h(e10) = e21 )
| ( h(e10) = e22 )
| ( h(e10) = e23 )
| ( h(e10) = e24 ) )
& ( ( h(e11) = e20 )
| ( h(e11) = e21 )
| ( h(e11) = e22 )
| ( h(e11) = e23 )
| ( h(e11) = e24 ) )
& ( ( h(e12) = e20 )
| ( h(e12) = e21 )
| ( h(e12) = e22 )
| ( h(e12) = e23 )
| ( h(e12) = e24 ) )
& ( ( h(e13) = e20 )
| ( h(e13) = e21 )
| ( h(e13) = e22 )
| ( h(e13) = e23 )
| ( h(e13) = e24 ) )
& ( ( h(e14) = e20 )
| ( h(e14) = e21 )
| ( h(e14) = e22 )
| ( h(e14) = e23 )
| ( h(e14) = e24 ) )
& ( ( j(e20) = e10 )
| ( j(e20) = e11 )
| ( j(e20) = e12 )
| ( j(e20) = e13 )
| ( j(e20) = e14 ) )
& ( ( j(e21) = e10 )
| ( j(e21) = e11 )
| ( j(e21) = e12 )
| ( j(e21) = e13 )
| ( j(e21) = e14 ) )
& ( ( j(e22) = e10 )
| ( j(e22) = e11 )
| ( j(e22) = e12 )
| ( j(e22) = e13 )
| ( j(e22) = e14 ) )
& ( ( j(e23) = e10 )
| ( j(e23) = e11 )
| ( j(e23) = e12 )
| ( j(e23) = e13 )
| ( j(e23) = e14 ) )
& ( ( j(e24) = e10 )
| ( j(e24) = e11 )
| ( j(e24) = e12 )
| ( j(e24) = e13 )
| ( j(e24) = e14 ) ) )
=> ~ ( ( h(op1(e10,e10)) = op2(h(e10),h(e10)) )
& ( h(op1(e10,e11)) = op2(h(e10),h(e11)) )
& ( h(op1(e10,e12)) = op2(h(e10),h(e12)) )
& ( h(op1(e10,e13)) = op2(h(e10),h(e13)) )
& ( h(op1(e10,e14)) = op2(h(e10),h(e14)) )
& ( h(op1(e11,e10)) = op2(h(e11),h(e10)) )
& ( h(op1(e11,e11)) = op2(h(e11),h(e11)) )
& ( h(op1(e11,e12)) = op2(h(e11),h(e12)) )
& ( h(op1(e11,e13)) = op2(h(e11),h(e13)) )
& ( h(op1(e11,e14)) = op2(h(e11),h(e14)) )
& ( h(op1(e12,e10)) = op2(h(e12),h(e10)) )
& ( h(op1(e12,e11)) = op2(h(e12),h(e11)) )
& ( h(op1(e12,e12)) = op2(h(e12),h(e12)) )
& ( h(op1(e12,e13)) = op2(h(e12),h(e13)) )
& ( h(op1(e12,e14)) = op2(h(e12),h(e14)) )
& ( h(op1(e13,e10)) = op2(h(e13),h(e10)) )
& ( h(op1(e13,e11)) = op2(h(e13),h(e11)) )
& ( h(op1(e13,e12)) = op2(h(e13),h(e12)) )
& ( h(op1(e13,e13)) = op2(h(e13),h(e13)) )
& ( h(op1(e13,e14)) = op2(h(e13),h(e14)) )
& ( h(op1(e14,e10)) = op2(h(e14),h(e10)) )
& ( h(op1(e14,e11)) = op2(h(e14),h(e11)) )
& ( h(op1(e14,e12)) = op2(h(e14),h(e12)) )
& ( h(op1(e14,e13)) = op2(h(e14),h(e13)) )
& ( h(op1(e14,e14)) = op2(h(e14),h(e14)) )
& ( j(op2(e20,e20)) = op1(j(e20),j(e20)) )
& ( j(op2(e20,e21)) = op1(j(e20),j(e21)) )
& ( j(op2(e20,e22)) = op1(j(e20),j(e22)) )
& ( j(op2(e20,e23)) = op1(j(e20),j(e23)) )
& ( j(op2(e20,e24)) = op1(j(e20),j(e24)) )
& ( j(op2(e21,e20)) = op1(j(e21),j(e20)) )
& ( j(op2(e21,e21)) = op1(j(e21),j(e21)) )
& ( j(op2(e21,e22)) = op1(j(e21),j(e22)) )
& ( j(op2(e21,e23)) = op1(j(e21),j(e23)) )
& ( j(op2(e21,e24)) = op1(j(e21),j(e24)) )
& ( j(op2(e22,e20)) = op1(j(e22),j(e20)) )
& ( j(op2(e22,e21)) = op1(j(e22),j(e21)) )
& ( j(op2(e22,e22)) = op1(j(e22),j(e22)) )
& ( j(op2(e22,e23)) = op1(j(e22),j(e23)) )
& ( j(op2(e22,e24)) = op1(j(e22),j(e24)) )
& ( j(op2(e23,e20)) = op1(j(e23),j(e20)) )
& ( j(op2(e23,e21)) = op1(j(e23),j(e21)) )
& ( j(op2(e23,e22)) = op1(j(e23),j(e22)) )
& ( j(op2(e23,e23)) = op1(j(e23),j(e23)) )
& ( j(op2(e23,e24)) = op1(j(e23),j(e24)) )
& ( j(op2(e24,e20)) = op1(j(e24),j(e20)) )
& ( j(op2(e24,e21)) = op1(j(e24),j(e21)) )
& ( j(op2(e24,e22)) = op1(j(e24),j(e22)) )
& ( j(op2(e24,e23)) = op1(j(e24),j(e23)) )
& ( j(op2(e24,e24)) = op1(j(e24),j(e24)) )
& ( h(j(e20)) = e20 )
& ( h(j(e21)) = e21 )
& ( h(j(e22)) = e22 )
& ( h(j(e23)) = e23 )
& ( h(j(e24)) = e24 )
& ( j(h(e10)) = e10 )
& ( j(h(e11)) = e11 )
& ( j(h(e12)) = e12 )
& ( j(h(e13)) = e13 )
& ( j(h(e14)) = e14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_255,axiom,
( ( op2(e20,e20) = e20 )
& ( op2(e20,e21) = e21 )
& ( op2(e20,e22) = e22 )
& ( op2(e20,e23) = e23 )
& ( op2(e20,e24) = e24 )
& ( op2(e21,e20) = e21 )
& ( op2(e21,e21) = e24 )
& ( op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20 )
& ( op2(e21,e24) = e22 )
& ( op2(e22,e20) = e22 )
& ( op2(e22,e21) = e20 )
& ( op2(e22,e22) = e24 )
& ( op2(e22,e23) = e21 )
& ( op2(e22,e24) = e23 )
& ( op2(e23,e20) = e23 )
& ( op2(e23,e21) = e22 )
& ( op2(e23,e22) = e20 )
& ( op2(e23,e23) = e24 )
& ( op2(e23,e24) = e21 )
& ( op2(e24,e20) = e24 )
& ( op2(e24,e21) = e23 )
& ( op2(e24,e22) = e21 )
& ( op2(e24,e23) = e22 )
& ( op2(e24,e24) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(c_10,plain,
e13 != e11,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_104,plain,
op1(e13,e13) = e11,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_324,plain,
( ( h(e13) = e24 )
| ( h(e13) = e23 )
| ( h(e13) = e22 )
| ( h(e13) = e21 )
| ( h(e13) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_1913,plain,
h(e13) = e20,
inference(splitLeft,[status(thm)],[c_324]) ).
tff(c_194,plain,
j(h(e13)) = e13,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_1919,plain,
j(e20) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_1913,c_194]) ).
tff(c_190,plain,
op2(e20,e20) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_260,plain,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_331,plain,
op1(j(e20),j(e20)) = j(e20),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_260]) ).
tff(c_2074,plain,
e13 = e11,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_1919,c_1919,c_1919,c_331]) ).
tff(c_2075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_2074]) ).
tff(c_2077,plain,
h(e13) != e20,
inference(splitRight,[status(thm)],[c_324]) ).
tff(c_326,plain,
( ( h(e12) = e24 )
| ( h(e12) = e23 )
| ( h(e12) = e22 )
| ( h(e12) = e21 )
| ( h(e12) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_2127,plain,
h(e12) = e20,
inference(splitLeft,[status(thm)],[c_326]) ).
tff(c_116,plain,
op1(e12,e12) = e13,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_286,plain,
op2(h(e12),h(e12)) = h(op1(e12,e12)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_368,plain,
op2(h(e12),h(e12)) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_286]) ).
tff(c_2134,plain,
op2(e20,e20) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_2127,c_2127,c_368]) ).
tff(c_2137,plain,
h(e13) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_2134]) ).
tff(c_2139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2077,c_2137]) ).
tff(c_2141,plain,
h(e12) != e20,
inference(splitRight,[status(thm)],[c_326]) ).
tff(c_92,plain,
op1(e14,e14) = e12,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_328,plain,
( ( h(e11) = e24 )
| ( h(e11) = e23 )
| ( h(e11) = e22 )
| ( h(e11) = e21 )
| ( h(e11) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_597,plain,
h(e11) = e20,
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_198,plain,
j(h(e11)) = e11,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_598,plain,
j(e20) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_597,c_198]) ).
tff(c_818,plain,
h(e13) = e20,
inference(splitLeft,[status(thm)],[c_324]) ).
tff(c_825,plain,
j(e20) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_818,c_194]) ).
tff(c_830,plain,
e13 = e11,
inference(demodulation,[status(thm),theory(equality)],[c_598,c_825]) ).
tff(c_832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_830]) ).
tff(c_834,plain,
h(e13) != e20,
inference(splitRight,[status(thm)],[c_324]) ).
tff(c_322,plain,
( ( h(e14) = e24 )
| ( h(e14) = e23 )
| ( h(e14) = e22 )
| ( h(e14) = e21 )
| ( h(e14) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_867,plain,
h(e14) = e20,
inference(splitLeft,[status(thm)],[c_322]) ).
tff(c_122,plain,
op1(e11,e14) = e13,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_292,plain,
op2(h(e11),h(e14)) = h(op1(e11,e14)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_365,plain,
op2(h(e11),h(e14)) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_122,c_292]) ).
tff(c_839,plain,
op2(e20,h(e14)) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_597,c_365]) ).
tff(c_869,plain,
op2(e20,e20) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_867,c_839]) ).
tff(c_879,plain,
h(e13) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_869]) ).
tff(c_881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_834,c_879]) ).
tff(c_883,plain,
h(e14) != e20,
inference(splitRight,[status(thm)],[c_322]) ).
tff(c_128,plain,
op1(e11,e11) = e14,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_298,plain,
op2(h(e11),h(e11)) = h(op1(e11,e11)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_362,plain,
op2(h(e11),h(e11)) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_298]) ).
tff(c_888,plain,
h(e14) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_597,c_597,c_362]) ).
tff(c_889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_883,c_888]) ).
tff(c_891,plain,
h(e11) != e20,
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_1030,plain,
h(e13) = e20,
inference(splitLeft,[status(thm)],[c_324]) ).
tff(c_274,plain,
op2(h(e13),h(e13)) = h(op1(e13,e13)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_374,plain,
op2(h(e13),h(e13)) = h(e11),
inference(demodulation,[status(thm),theory(equality)],[c_104,c_274]) ).
tff(c_1032,plain,
op2(e20,e20) = h(e11),
inference(demodulation,[status(thm),theory(equality)],[c_1030,c_1030,c_374]) ).
tff(c_1035,plain,
h(e11) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_1032]) ).
tff(c_1037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_891,c_1035]) ).
tff(c_1039,plain,
h(e13) != e20,
inference(splitRight,[status(thm)],[c_324]) ).
tff(c_1427,plain,
h(e12) = e20,
inference(splitLeft,[status(thm)],[c_326]) ).
tff(c_1457,plain,
op2(e20,e20) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_1427,c_1427,c_368]) ).
tff(c_1463,plain,
h(e13) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_1457]) ).
tff(c_1465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1039,c_1463]) ).
tff(c_1467,plain,
h(e12) != e20,
inference(splitRight,[status(thm)],[c_326]) ).
tff(c_142,plain,
op2(e24,e24) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_166,plain,
op2(e22,e22) = e24,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_154,plain,
op2(e23,e23) = e24,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_178,plain,
op2(e21,e21) = e24,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_14,plain,
e14 != e10,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_320,plain,
( ( j(e20) = e14 )
| ( j(e20) = e13 )
| ( j(e20) = e12 )
| ( j(e20) = e11 )
| ( j(e20) = e10 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_908,plain,
j(e20) = e10,
inference(splitLeft,[status(thm)],[c_320]) ).
tff(c_987,plain,
h(e14) = e20,
inference(splitLeft,[status(thm)],[c_322]) ).
tff(c_192,plain,
j(h(e14)) = e14,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_991,plain,
j(e20) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_987,c_192]) ).
tff(c_993,plain,
e14 = e10,
inference(demodulation,[status(thm),theory(equality)],[c_908,c_991]) ).
tff(c_995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_993]) ).
tff(c_997,plain,
h(e14) != e20,
inference(splitRight,[status(thm)],[c_322]) ).
tff(c_890,plain,
( ( h(e11) = e21 )
| ( h(e11) = e22 )
| ( h(e11) = e23 )
| ( h(e11) = e24 ) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_1245,plain,
h(e11) = e24,
inference(splitLeft,[status(thm)],[c_890]) ).
tff(c_1248,plain,
op2(e24,e24) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_1245,c_1245,c_362]) ).
tff(c_1260,plain,
h(e14) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_1248]) ).
tff(c_1262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_997,c_1260]) ).
tff(c_1263,plain,
( ( h(e11) = e23 )
| ( h(e11) = e22 )
| ( h(e11) = e21 ) ),
inference(splitRight,[status(thm)],[c_890]) ).
tff(c_1265,plain,
h(e11) = e21,
inference(splitLeft,[status(thm)],[c_1263]) ).
tff(c_1269,plain,
op2(e21,e21) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_1265,c_1265,c_362]) ).
tff(c_1281,plain,
h(e14) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_1269]) ).
tff(c_262,plain,
op2(h(e14),h(e14)) = h(op1(e14,e14)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_380,plain,
op2(h(e14),h(e14)) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_92,c_262]) ).
tff(c_1291,plain,
op2(e24,e24) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_1281,c_1281,c_380]) ).
tff(c_1297,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_1291]) ).
tff(c_1345,plain,
op2(e20,e20) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_1297,c_1297,c_368]) ).
tff(c_1349,plain,
h(e13) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_1345]) ).
tff(c_1351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1039,c_1349]) ).
tff(c_1352,plain,
( ( h(e11) = e22 )
| ( h(e11) = e23 ) ),
inference(splitRight,[status(thm)],[c_1263]) ).
tff(c_1354,plain,
h(e11) = e23,
inference(splitLeft,[status(thm)],[c_1352]) ).
tff(c_1359,plain,
op2(e23,e23) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_1354,c_362]) ).
tff(c_1371,plain,
h(e14) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_154,c_1359]) ).
tff(c_1381,plain,
op2(e24,e24) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_1371,c_1371,c_380]) ).
tff(c_1387,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_1381]) ).
tff(c_1418,plain,
op2(e20,e20) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_1387,c_1387,c_368]) ).
tff(c_1422,plain,
h(e13) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_1418]) ).
tff(c_1424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1039,c_1422]) ).
tff(c_1425,plain,
h(e11) = e22,
inference(splitRight,[status(thm)],[c_1352]) ).
tff(c_1473,plain,
op2(e22,e22) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_1425,c_1425,c_362]) ).
tff(c_1485,plain,
h(e14) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_1473]) ).
tff(c_1495,plain,
op2(e24,e24) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_1485,c_1485,c_380]) ).
tff(c_1501,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_1495]) ).
tff(c_1503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1467,c_1501]) ).
tff(c_1505,plain,
j(e20) != e10,
inference(splitRight,[status(thm)],[c_320]) ).
tff(c_140,plain,
op1(e10,e10) = e10,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_312,plain,
( ( j(e24) = e14 )
| ( j(e24) = e13 )
| ( j(e24) = e12 )
| ( j(e24) = e11 )
| ( j(e24) = e10 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_1798,plain,
j(e24) = e10,
inference(splitLeft,[status(thm)],[c_312]) ).
tff(c_212,plain,
op1(j(e24),j(e24)) = j(op2(e24,e24)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_355,plain,
op1(j(e24),j(e24)) = j(e20),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_212]) ).
tff(c_1856,plain,
j(e20) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_140,c_1798,c_1798,c_355]) ).
tff(c_1857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1505,c_1856]) ).
tff(c_1858,plain,
( ( j(e24) = e11 )
| ( j(e24) = e12 )
| ( j(e24) = e13 )
| ( j(e24) = e14 ) ),
inference(splitRight,[status(thm)],[c_312]) ).
tff(c_2258,plain,
j(e24) = e14,
inference(splitLeft,[status(thm)],[c_1858]) ).
tff(c_2269,plain,
op1(e14,e14) = j(e20),
inference(demodulation,[status(thm),theory(equality)],[c_2258,c_2258,c_355]) ).
tff(c_2273,plain,
j(e20) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_2269]) ).
tff(c_210,plain,
h(j(e20)) = e20,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_2289,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_2273,c_210]) ).
tff(c_2291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2141,c_2289]) ).
tff(c_2293,plain,
j(e24) != e14,
inference(splitRight,[status(thm)],[c_1858]) ).
tff(c_4,plain,
e14 != e12,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_1591,plain,
h(e14) = e20,
inference(splitLeft,[status(thm)],[c_322]) ).
tff(c_1594,plain,
j(e20) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_1591,c_192]) ).
tff(c_1626,plain,
e14 = e12,
inference(demodulation,[status(thm),theory(equality)],[c_1594,c_92,c_1594,c_1594,c_331]) ).
tff(c_1627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_1626]) ).
tff(c_1629,plain,
h(e14) != e20,
inference(splitRight,[status(thm)],[c_322]) ).
tff(c_2238,plain,
h(e11) = e24,
inference(splitLeft,[status(thm)],[c_890]) ).
tff(c_2240,plain,
op2(e24,e24) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_2238,c_2238,c_362]) ).
tff(c_2253,plain,
h(e14) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_2240]) ).
tff(c_2255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1629,c_2253]) ).
tff(c_2256,plain,
( ( h(e11) = e23 )
| ( h(e11) = e22 )
| ( h(e11) = e21 ) ),
inference(splitRight,[status(thm)],[c_890]) ).
tff(c_2294,plain,
h(e11) = e21,
inference(splitLeft,[status(thm)],[c_2256]) ).
tff(c_2297,plain,
op2(e21,e21) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_2294,c_2294,c_362]) ).
tff(c_2310,plain,
h(e14) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_2297]) ).
tff(c_2318,plain,
op2(e24,e24) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_2310,c_2310,c_380]) ).
tff(c_2324,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_2318]) ).
tff(c_2326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2141,c_2324]) ).
tff(c_2327,plain,
( ( h(e11) = e22 )
| ( h(e11) = e23 ) ),
inference(splitRight,[status(thm)],[c_2256]) ).
tff(c_2329,plain,
h(e11) = e23,
inference(splitLeft,[status(thm)],[c_2327]) ).
tff(c_2345,plain,
j(e23) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_2329,c_198]) ).
tff(c_224,plain,
op1(j(e23),j(e23)) = j(op2(e23,e23)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_349,plain,
op1(j(e23),j(e23)) = j(e24),
inference(demodulation,[status(thm),theory(equality)],[c_154,c_224]) ).
tff(c_2351,plain,
op1(e11,e11) = j(e24),
inference(demodulation,[status(thm),theory(equality)],[c_2345,c_2345,c_349]) ).
tff(c_2365,plain,
j(e24) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2351]) ).
tff(c_2367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2293,c_2365]) ).
tff(c_2368,plain,
h(e11) = e22,
inference(splitRight,[status(thm)],[c_2327]) ).
tff(c_2385,plain,
j(e22) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_2368,c_198]) ).
tff(c_236,plain,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_343,plain,
op1(j(e22),j(e22)) = j(e24),
inference(demodulation,[status(thm),theory(equality)],[c_166,c_236]) ).
tff(c_2404,plain,
op1(e11,e11) = j(e24),
inference(demodulation,[status(thm),theory(equality)],[c_2385,c_2385,c_343]) ).
tff(c_2406,plain,
j(e24) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2404]) ).
tff(c_2408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2293,c_2406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG082+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 20:42:24 EDT 2023
% 0.15/0.35 % CPUTime :
% 8.24/2.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.65/3.01
% 8.65/3.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.65/3.06
% 8.65/3.06 Inference rules
% 8.65/3.06 ----------------------
% 8.65/3.06 #Ref : 0
% 8.65/3.06 #Sup : 614
% 8.65/3.06 #Fact : 0
% 8.65/3.06 #Define : 0
% 8.65/3.06 #Split : 35
% 8.65/3.06 #Chain : 0
% 8.65/3.06 #Close : 0
% 8.65/3.06
% 8.65/3.06 Ordering : KBO
% 8.65/3.06
% 8.65/3.06 Simplification rules
% 8.65/3.06 ----------------------
% 8.65/3.06 #Subsume : 32
% 8.65/3.06 #Demod : 819
% 8.65/3.06 #Tautology : 669
% 8.65/3.06 #SimpNegUnit : 39
% 8.65/3.06 #BackRed : 450
% 8.65/3.06
% 8.65/3.06 #Partial instantiations: 0
% 8.65/3.06 #Strategies tried : 1
% 8.65/3.06
% 8.65/3.06 Timing (in seconds)
% 8.65/3.06 ----------------------
% 8.65/3.07 Preprocessing : 0.65
% 8.65/3.07 Parsing : 0.34
% 8.65/3.07 CNF conversion : 0.03
% 8.65/3.07 Main loop : 1.25
% 8.65/3.07 Inferencing : 0.32
% 8.65/3.07 Reduction : 0.51
% 8.65/3.07 Demodulation : 0.36
% 8.65/3.07 BG Simplification : 0.04
% 8.65/3.07 Subsumption : 0.25
% 8.65/3.07 Abstraction : 0.03
% 8.65/3.07 MUC search : 0.00
% 8.65/3.07 Cooper : 0.00
% 8.65/3.07 Total : 1.99
% 8.65/3.07 Index Insertion : 0.00
% 8.65/3.07 Index Deletion : 0.00
% 8.65/3.07 Index Matching : 0.00
% 8.65/3.07 BG Taut test : 0.00
%------------------------------------------------------------------------------