%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG087+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 Apr 9 05:24:08 PM UTC 2025
% Result : Theorem 7.33s 2.69s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 121 ( 104 unt; 0 typ; 0 def)
% Number of atoms : 332 ( 319 equ)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 241 ( 30 ~; 76 |; 134 &)
% ( 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 : 0 ( 0 >; 0 *; 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_83,axiom,
( ( e20 != e21 )
& ( e20 != e22 )
& ( e20 != e23 )
& ( e20 != e24 )
& ( e21 != e22 )
& ( e21 != e23 )
& ( e21 != e24 )
& ( e22 != e23 )
& ( e22 != e24 )
& ( e23 != e24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
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/sandbox2/benchmark/theBenchmark.p',co1) ).
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) = e10 )
& ( op1(e11,e12) = e13 )
& ( op1(e11,e13) = e14 )
& ( op1(e11,e14) = e12 )
& ( op1(e12,e10) = e12 )
& ( op1(e12,e11) = e14 )
& ( op1(e12,e12) = e10 )
& ( op1(e12,e13) = e11 )
& ( op1(e12,e14) = e13 )
& ( op1(e13,e10) = e13 )
& ( op1(e13,e11) = e12 )
& ( op1(e13,e12) = e14 )
& ( op1(e13,e13) = e10 )
& ( op1(e13,e14) = e11 )
& ( op1(e14,e10) = e14 )
& ( op1(e14,e11) = e13 )
& ( op1(e14,e12) = e11 )
& ( op1(e14,e13) = e12 )
& ( op1(e14,e14) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
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) = e20 )
& ( op2(e21,e22) = e24 )
& ( op2(e21,e23) = e22 )
& ( op2(e21,e24) = e23 )
& ( op2(e22,e20) = e22 )
& ( op2(e22,e21) = e24 )
& ( op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20 )
& ( op2(e22,e24) = e21 )
& ( op2(e23,e20) = e23 )
& ( op2(e23,e21) = e22 )
& ( op2(e23,e22) = e21 )
& ( op2(e23,e23) = e24 )
& ( op2(e23,e24) = e20 )
& ( op2(e24,e20) = e24 )
& ( op2(e24,e21) = e23 )
& ( op2(e24,e22) = e20 )
& ( op2(e24,e23) = e21 )
& ( op2(e24,e24) = e22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
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/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(c_22,plain,
e24 != e23,
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_314,plain,
( ( j(e23) = e14 )
| ( j(e23) = e13 )
| ( j(e23) = e12 )
| ( j(e23) = e11 )
| ( j(e23) = e10 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_958,plain,
j(e23) = e10,
inference(splitLeft,[status(thm)],[c_314]) ).
tff(c_204,plain,
h(j(e23)) = e23,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_959,plain,
h(e10) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_958,c_204]) ).
tff(c_140,plain,
op1(e10,e10) = e10,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_154,plain,
op2(e23,e23) = e24,
inference(cnfTransformation,[status(thm)],[f_255]) ).
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_996,plain,
j(e24) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_140,c_958,c_958,c_349]) ).
tff(c_202,plain,
h(j(e24)) = e24,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_997,plain,
h(e10) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_996,c_202]) ).
tff(c_998,plain,
e24 = e23,
inference(demodulation,[status(thm),theory(equality)],[c_959,c_997]) ).
tff(c_1000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_998]) ).
tff(c_1002,plain,
j(e23) != e10,
inference(splitRight,[status(thm)],[c_314]) ).
tff(c_92,plain,
op1(e14,e14) = e10,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_316,plain,
( ( j(e22) = e14 )
| ( j(e22) = e13 )
| ( j(e22) = e12 )
| ( j(e22) = e11 )
| ( j(e22) = e10 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_1192,plain,
j(e22) = e10,
inference(splitLeft,[status(thm)],[c_316]) ).
tff(c_166,plain,
op2(e22,e22) = e23,
inference(cnfTransformation,[status(thm)],[f_255]) ).
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(e23),
inference(demodulation,[status(thm),theory(equality)],[c_166,c_236]) ).
tff(c_1209,plain,
j(e23) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_140,c_1192,c_1192,c_343]) ).
tff(c_1210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1002,c_1209]) ).
tff(c_1212,plain,
j(e22) != e10,
inference(splitRight,[status(thm)],[c_316]) ).
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_1491,plain,
j(e24) = e10,
inference(splitLeft,[status(thm)],[c_312]) ).
tff(c_142,plain,
op2(e24,e24) = e22,
inference(cnfTransformation,[status(thm)],[f_255]) ).
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(e22),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_212]) ).
tff(c_1492,plain,
op1(e10,e10) = j(e22),
inference(demodulation,[status(thm),theory(equality)],[c_1491,c_1491,c_355]) ).
tff(c_1495,plain,
j(e22) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_140,c_1492]) ).
tff(c_1497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1212,c_1495]) ).
tff(c_1499,plain,
j(e24) != e10,
inference(splitRight,[status(thm)],[c_312]) ).
tff(c_104,plain,
op1(e13,e13) = e10,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_18,plain,
e12 != e10,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_190,plain,
op2(e20,e20) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
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_1369,plain,
h(e12) = e20,
inference(splitLeft,[status(thm)],[c_326]) ).
tff(c_116,plain,
op1(e12,e12) = e10,
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(e10),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_286]) ).
tff(c_1370,plain,
op2(e20,e20) = h(e10),
inference(demodulation,[status(thm),theory(equality)],[c_1369,c_1369,c_368]) ).
tff(c_1372,plain,
h(e10) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_1370]) ).
tff(c_200,plain,
j(h(e10)) = e10,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_1378,plain,
j(e20) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_200]) ).
tff(c_196,plain,
j(h(e12)) = e12,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_1371,plain,
j(e20) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_1369,c_196]) ).
tff(c_1390,plain,
e12 = e10,
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_1371]) ).
tff(c_1392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_1390]) ).
tff(c_1394,plain,
h(e12) != e20,
inference(splitRight,[status(thm)],[c_326]) ).
tff(c_178,plain,
op2(e21,e21) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_16,plain,
e13 != e10,
inference(cnfTransformation,[status(thm)],[f_54]) ).
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_1229,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(e10),
inference(demodulation,[status(thm),theory(equality)],[c_104,c_274]) ).
tff(c_1351,plain,
h(e10) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_1229,c_1229,c_374]) ).
tff(c_1357,plain,
j(e20) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_1351,c_200]) ).
tff(c_194,plain,
j(h(e13)) = e13,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_1232,plain,
j(e20) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_1229,c_194]) ).
tff(c_1364,plain,
e13 = e10,
inference(demodulation,[status(thm),theory(equality)],[c_1357,c_1232]) ).
tff(c_1366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_1364]) ).
tff(c_1367,plain,
( ( h(e13) = e21 )
| ( h(e13) = e22 )
| ( h(e13) = e23 )
| ( h(e13) = e24 ) ),
inference(splitRight,[status(thm)],[c_324]) ).
tff(c_1754,plain,
h(e13) = e24,
inference(splitLeft,[status(thm)],[c_1367]) ).
tff(c_1765,plain,
j(e24) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_1754,c_194]) ).
tff(c_1780,plain,
op1(e13,e13) = j(e22),
inference(demodulation,[status(thm),theory(equality)],[c_1765,c_1765,c_355]) ).
tff(c_1786,plain,
j(e22) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_1780]) ).
tff(c_1788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1212,c_1786]) ).
tff(c_1789,plain,
( ( h(e13) = e23 )
| ( h(e13) = e22 )
| ( h(e13) = e21 ) ),
inference(splitRight,[status(thm)],[c_1367]) ).
tff(c_1846,plain,
h(e13) = e21,
inference(splitLeft,[status(thm)],[c_1789]) ).
tff(c_14,plain,
e14 != e10,
inference(cnfTransformation,[status(thm)],[f_54]) ).
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_1003,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_1004,plain,
j(e20) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_1003,c_192]) ).
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_1172,plain,
e14 = e10,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_1004,c_1004,c_1004,c_331]) ).
tff(c_1173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_1172]) ).
tff(c_1174,plain,
( ( h(e14) = e21 )
| ( h(e14) = e22 )
| ( h(e14) = e23 )
| ( h(e14) = e24 ) ),
inference(splitRight,[status(thm)],[c_322]) ).
tff(c_1632,plain,
h(e14) = e24,
inference(splitLeft,[status(thm)],[c_1174]) ).
tff(c_1646,plain,
j(e24) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_1632,c_192]) ).
tff(c_1664,plain,
op1(e14,e14) = j(e22),
inference(demodulation,[status(thm),theory(equality)],[c_1646,c_1646,c_355]) ).
tff(c_1668,plain,
j(e22) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_1664]) ).
tff(c_1670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1212,c_1668]) ).
tff(c_1671,plain,
( ( h(e14) = e23 )
| ( h(e14) = e22 )
| ( h(e14) = e21 ) ),
inference(splitRight,[status(thm)],[c_1174]) ).
tff(c_1673,plain,
h(e14) = e21,
inference(splitLeft,[status(thm)],[c_1671]) ).
tff(c_94,plain,
op1(e14,e13) = e12,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_264,plain,
op2(h(e14),h(e13)) = h(op1(e14,e13)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_379,plain,
op2(h(e14),h(e13)) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_264]) ).
tff(c_1678,plain,
op2(e21,h(e13)) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_1673,c_379]) ).
tff(c_1849,plain,
op2(e21,e21) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_1846,c_1678]) ).
tff(c_1862,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_1849]) ).
tff(c_1864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1394,c_1862]) ).
tff(c_1865,plain,
( ( h(e13) = e22 )
| ( h(e13) = e23 ) ),
inference(splitRight,[status(thm)],[c_1789]) ).
tff(c_1867,plain,
h(e13) = e23,
inference(splitLeft,[status(thm)],[c_1865]) ).
tff(c_1927,plain,
j(e23) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_1867,c_194]) ).
tff(c_1945,plain,
op1(e13,e13) = j(e24),
inference(demodulation,[status(thm),theory(equality)],[c_1927,c_1927,c_349]) ).
tff(c_1954,plain,
j(e24) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_1945]) ).
tff(c_1956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1499,c_1954]) ).
tff(c_1957,plain,
h(e13) = e22,
inference(splitRight,[status(thm)],[c_1865]) ).
tff(c_1975,plain,
j(e22) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_1957,c_194]) ).
tff(c_2021,plain,
op1(e13,e13) = j(e23),
inference(demodulation,[status(thm),theory(equality)],[c_1975,c_1975,c_343]) ).
tff(c_2028,plain,
j(e23) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_2021]) ).
tff(c_2030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1002,c_2028]) ).
tff(c_2031,plain,
( ( h(e14) = e22 )
| ( h(e14) = e23 ) ),
inference(splitRight,[status(thm)],[c_1671]) ).
tff(c_2033,plain,
h(e14) = e23,
inference(splitLeft,[status(thm)],[c_2031]) ).
tff(c_2049,plain,
j(e23) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_2033,c_192]) ).
tff(c_2062,plain,
op1(e14,e14) = j(e24),
inference(demodulation,[status(thm),theory(equality)],[c_2049,c_2049,c_349]) ).
tff(c_2071,plain,
j(e24) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_2062]) ).
tff(c_2073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1499,c_2071]) ).
tff(c_2074,plain,
h(e14) = e22,
inference(splitRight,[status(thm)],[c_2031]) ).
tff(c_2091,plain,
j(e22) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_2074,c_192]) ).
tff(c_2110,plain,
op1(e14,e14) = j(e23),
inference(demodulation,[status(thm),theory(equality)],[c_2091,c_2091,c_343]) ).
tff(c_2115,plain,
j(e23) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_2110]) ).
tff(c_2117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1002,c_2115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG087+1 : TPTP v9.0.0. Released v2.7.0.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Apr 6 06:59:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 7.33/2.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.77/2.70
% 7.77/2.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------