TSTP Solution File: ALG081+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG081+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 : n026.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 9.62s 3.26s
% Output : CNFRefutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 117 ( 91 unt; 14 typ; 0 def)
% Number of atoms : 300 ( 292 equ)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 227 ( 30 ~; 62 |; 134 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 3 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_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/sandbox/benchmark/theBenchmark.p',ax2) ).
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) = e12 )
& ( op1(e11,e12) = e13 )
& ( op1(e11,e13) = e14 )
& ( op1(e11,e14) = e10 )
& ( op1(e12,e10) = e12 )
& ( op1(e12,e11) = e14 )
& ( op1(e12,e12) = e11 )
& ( op1(e12,e13) = e10 )
& ( op1(e12,e14) = e13 )
& ( op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10 )
& ( op1(e13,e12) = e14 )
& ( op1(e13,e13) = e11 )
& ( op1(e13,e14) = e12 )
& ( op1(e14,e10) = e14 )
& ( op1(e14,e11) = e13 )
& ( op1(e14,e12) = e10 )
& ( op1(e14,e13) = e12 )
& ( op1(e14,e14) = e11 ) ),
file('/export/starexec/sandbox/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) = e22 )
& ( op2(e21,e22) = e24 )
& ( op2(e21,e23) = e20 )
& ( op2(e21,e24) = e23 )
& ( op2(e22,e20) = e22 )
& ( op2(e22,e21) = e20 )
& ( op2(e22,e22) = e23 )
& ( op2(e22,e23) = e24 )
& ( op2(e22,e24) = e21 )
& ( op2(e23,e20) = e23 )
& ( op2(e23,e21) = e24 )
& ( op2(e23,e22) = e20 )
& ( op2(e23,e23) = e21 )
& ( op2(e23,e24) = e22 )
& ( 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(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_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(c_32,plain,
e22 != e21,
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_128,plain,
op1(e11,e11) = e12,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_166,plain,
op2(e22,e22) = e23,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_26,plain,
e23 != e22,
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_154,plain,
op2(e23,e23) = e21,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_30,plain,
e23 != e21,
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_10,plain,
e13 != e11,
inference(cnfTransformation,[status(thm)],[f_54]) ).
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_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_817,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_826,plain,
j(e20) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_817,c_194]) ).
tff(c_830,plain,
e13 = e11,
inference(demodulation,[status(thm),theory(equality)],[c_598,c_826]) ).
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_190,plain,
op2(e20,e20) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
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_98,plain,
op1(e14,e11) = e13,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_268,plain,
op2(h(e14),h(e11)) = h(op1(e14,e11)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_377,plain,
op2(h(e14),h(e11)) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_268]) ).
tff(c_673,plain,
op2(h(e14),e20) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_597,c_377]) ).
tff(c_877,plain,
op2(e20,e20) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_867,c_673]) ).
tff(c_884,plain,
h(e13) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_877]) ).
tff(c_886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_834,c_884]) ).
tff(c_888,plain,
h(e14) != e20,
inference(splitRight,[status(thm)],[c_322]) ).
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(e12),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_298]) ).
tff(c_894,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_597,c_597,c_362]) ).
tff(c_118,plain,
op1(e12,e11) = e14,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_288,plain,
op2(h(e12),h(e11)) = h(op1(e12,e11)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_367,plain,
op2(h(e12),h(e11)) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_118,c_288]) ).
tff(c_844,plain,
op2(h(e12),e20) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_597,c_367]) ).
tff(c_896,plain,
op2(e20,e20) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_894,c_844]) ).
tff(c_904,plain,
h(e14) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_896]) ).
tff(c_906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_888,c_904]) ).
tff(c_908,plain,
h(e11) != e20,
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_142,plain,
op2(e24,e24) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_12,plain,
e12 != e11,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_116,plain,
op1(e12,e12) = e11,
inference(cnfTransformation,[status(thm)],[f_206]) ).
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_2325,plain,
h(e12) = e20,
inference(splitLeft,[status(thm)],[c_326]) ).
tff(c_196,plain,
j(h(e12)) = e12,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_2328,plain,
j(e20) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_2325,c_196]) ).
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_2334,plain,
op1(e12,e12) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_2328,c_2328,c_2328,c_331]) ).
tff(c_2337,plain,
e12 = e11,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_2334]) ).
tff(c_2339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_2337]) ).
tff(c_2340,plain,
( ( h(e12) = e21 )
| ( h(e12) = e22 )
| ( h(e12) = e23 )
| ( h(e12) = e24 ) ),
inference(splitRight,[status(thm)],[c_326]) ).
tff(c_2502,plain,
h(e12) = e24,
inference(splitLeft,[status(thm)],[c_2340]) ).
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(e11),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_286]) ).
tff(c_2512,plain,
op2(e24,e24) = h(e11),
inference(demodulation,[status(thm),theory(equality)],[c_2502,c_2502,c_368]) ).
tff(c_2517,plain,
h(e11) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_2512]) ).
tff(c_2519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_908,c_2517]) ).
tff(c_2520,plain,
( ( h(e12) = e23 )
| ( h(e12) = e22 )
| ( h(e12) = e21 ) ),
inference(splitRight,[status(thm)],[c_2340]) ).
tff(c_2522,plain,
h(e12) = e21,
inference(splitLeft,[status(thm)],[c_2520]) ).
tff(c_178,plain,
op2(e21,e21) = e22,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_2533,plain,
op2(e21,e21) = h(e11),
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_2522,c_368]) ).
tff(c_2538,plain,
h(e11) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_2533]) ).
tff(c_2552,plain,
j(e22) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_2538,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(e23),
inference(demodulation,[status(thm),theory(equality)],[c_166,c_236]) ).
tff(c_2584,plain,
op1(e11,e11) = j(e23),
inference(demodulation,[status(thm),theory(equality)],[c_2552,c_2552,c_343]) ).
tff(c_2586,plain,
j(e23) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2584]) ).
tff(c_204,plain,
h(j(e23)) = e23,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_2596,plain,
h(e12) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_2586,c_204]) ).
tff(c_2597,plain,
e23 = e21,
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_2596]) ).
tff(c_2599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_2597]) ).
tff(c_2600,plain,
( ( h(e12) = e22 )
| ( h(e12) = e23 ) ),
inference(splitRight,[status(thm)],[c_2520]) ).
tff(c_2602,plain,
h(e12) = e23,
inference(splitLeft,[status(thm)],[c_2600]) ).
tff(c_2614,plain,
op2(e23,e23) = h(e11),
inference(demodulation,[status(thm),theory(equality)],[c_2602,c_2602,c_368]) ).
tff(c_2619,plain,
h(e11) = e21,
inference(demodulation,[status(thm),theory(equality)],[c_154,c_2614]) ).
tff(c_2633,plain,
j(e21) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_2619,c_198]) ).
tff(c_248,plain,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_337,plain,
op1(j(e21),j(e21)) = j(e22),
inference(demodulation,[status(thm),theory(equality)],[c_178,c_248]) ).
tff(c_2658,plain,
op1(e11,e11) = j(e22),
inference(demodulation,[status(thm),theory(equality)],[c_2633,c_2633,c_337]) ).
tff(c_2667,plain,
j(e22) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2658]) ).
tff(c_206,plain,
h(j(e22)) = e22,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_2678,plain,
h(e12) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_2667,c_206]) ).
tff(c_2691,plain,
e23 = e22,
inference(demodulation,[status(thm),theory(equality)],[c_2678,c_2602]) ).
tff(c_2693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_2691]) ).
tff(c_2694,plain,
h(e12) = e22,
inference(splitRight,[status(thm)],[c_2600]) ).
tff(c_2707,plain,
op2(e22,e22) = h(e11),
inference(demodulation,[status(thm),theory(equality)],[c_2694,c_2694,c_368]) ).
tff(c_2712,plain,
h(e11) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_2707]) ).
tff(c_2727,plain,
j(e23) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_2712,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(e21),
inference(demodulation,[status(thm),theory(equality)],[c_154,c_224]) ).
tff(c_2755,plain,
op1(e11,e11) = j(e21),
inference(demodulation,[status(thm),theory(equality)],[c_2727,c_2727,c_349]) ).
tff(c_2761,plain,
j(e21) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2755]) ).
tff(c_208,plain,
h(j(e21)) = e21,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_2772,plain,
h(e12) = e21,
inference(demodulation,[status(thm),theory(equality)],[c_2761,c_208]) ).
tff(c_2777,plain,
e22 = e21,
inference(demodulation,[status(thm),theory(equality)],[c_2772,c_2694]) ).
tff(c_2779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_2777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG081+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % 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
% 0.12/0.35 % Computer : n026.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu Aug 3 20:29:46 EDT 2023
% 0.12/0.35 % CPUTime :
% 9.62/3.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.62/3.27
% 9.62/3.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.62/3.31
% 9.62/3.31 Inference rules
% 9.62/3.31 ----------------------
% 9.62/3.31 #Ref : 0
% 9.62/3.31 #Sup : 674
% 9.62/3.31 #Fact : 0
% 9.62/3.31 #Define : 0
% 9.62/3.31 #Split : 41
% 9.62/3.31 #Chain : 0
% 9.62/3.31 #Close : 0
% 9.62/3.31
% 9.62/3.31 Ordering : KBO
% 9.62/3.32
% 9.62/3.32 Simplification rules
% 9.62/3.32 ----------------------
% 9.62/3.32 #Subsume : 50
% 9.62/3.32 #Demod : 1081
% 9.62/3.32 #Tautology : 764
% 9.62/3.32 #SimpNegUnit : 42
% 9.62/3.32 #BackRed : 636
% 9.62/3.32
% 9.62/3.32 #Partial instantiations: 0
% 9.62/3.32 #Strategies tried : 1
% 9.62/3.32
% 9.62/3.32 Timing (in seconds)
% 9.62/3.32 ----------------------
% 9.62/3.32 Preprocessing : 0.67
% 9.62/3.32 Parsing : 0.35
% 9.62/3.32 CNF conversion : 0.03
% 9.62/3.32 Main loop : 1.55
% 9.62/3.32 Inferencing : 0.36
% 9.62/3.32 Reduction : 0.64
% 9.62/3.32 Demodulation : 0.45
% 9.62/3.32 BG Simplification : 0.05
% 9.62/3.32 Subsumption : 0.32
% 9.62/3.32 Abstraction : 0.03
% 9.62/3.32 MUC search : 0.00
% 9.62/3.32 Cooper : 0.00
% 9.62/3.32 Total : 2.28
% 9.62/3.32 Index Insertion : 0.00
% 9.62/3.32 Index Deletion : 0.00
% 9.62/3.32 Index Matching : 0.00
% 9.62/3.32 BG Taut test : 0.00
%------------------------------------------------------------------------------