TSTP Solution File: ALG080+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG080+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/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 : n024.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 9.20s 3.13s
% Output : CNFRefutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 123 ( 97 unt; 14 typ; 0 def)
% Number of atoms : 306 ( 298 equ)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 226 ( 29 ~; 62 |; 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 : 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/sandbox2/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) = e10 )
& ( op1(e11,e12) = e14 )
& ( op1(e11,e13) = e12 )
& ( op1(e11,e14) = e13 )
& ( op1(e12,e10) = e12 )
& ( op1(e12,e11) = e14 )
& ( op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10 )
& ( op1(e12,e14) = e11 )
& ( op1(e13,e10) = e13 )
& ( op1(e13,e11) = e12 )
& ( op1(e13,e12) = e11 )
& ( op1(e13,e13) = e14 )
& ( op1(e13,e14) = e10 )
& ( op1(e14,e10) = e14 )
& ( op1(e14,e11) = e13 )
& ( op1(e14,e12) = e10 )
& ( op1(e14,e13) = e11 )
& ( op1(e14,e14) = e12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
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_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/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(c_6,plain,
e13 != e12,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_124,plain,
op1(e11,e13) = e12,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_112,plain,
op1(e12,e14) = e11,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_104,plain,
op1(e13,e13) = e14,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_116,plain,
op1(e12,e12) = e13,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_108,plain,
op1(e13,e11) = e12,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_94,plain,
op1(e14,e13) = e11,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_26,plain,
e23 != e22,
inference(cnfTransformation,[status(thm)],[f_83]) ).
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_2104,plain,
j(e22) = e10,
inference(splitLeft,[status(thm)],[c_316]) ).
tff(c_206,plain,
h(j(e22)) = e22,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_2107,plain,
h(e10) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_2104,c_206]) ).
tff(c_140,plain,
op1(e10,e10) = e10,
inference(cnfTransformation,[status(thm)],[f_206]) ).
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_2106,plain,
op1(e10,e10) = j(e23),
inference(demodulation,[status(thm),theory(equality)],[c_2104,c_2104,c_343]) ).
tff(c_2108,plain,
j(e23) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_140,c_2106]) ).
tff(c_204,plain,
h(j(e23)) = e23,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_2114,plain,
h(e10) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_2108,c_204]) ).
tff(c_2128,plain,
e23 = e22,
inference(demodulation,[status(thm),theory(equality)],[c_2107,c_2114]) ).
tff(c_2129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_2128]) ).
tff(c_2131,plain,
j(e22) != e10,
inference(splitRight,[status(thm)],[c_316]) ).
tff(c_318,plain,
( ( j(e21) = e14 )
| ( j(e21) = e13 )
| ( j(e21) = e12 )
| ( j(e21) = e11 )
| ( j(e21) = e10 ) ),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_2402,plain,
j(e21) = e10,
inference(splitLeft,[status(thm)],[c_318]) ).
tff(c_178,plain,
op2(e21,e21) = e22,
inference(cnfTransformation,[status(thm)],[f_255]) ).
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_2533,plain,
j(e22) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_140,c_2402,c_2402,c_337]) ).
tff(c_2534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2131,c_2533]) ).
tff(c_2536,plain,
j(e21) != e10,
inference(splitRight,[status(thm)],[c_318]) ).
tff(c_128,plain,
op1(e11,e11) = e10,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_34,plain,
e24 != e20,
inference(cnfTransformation,[status(thm)],[f_83]) ).
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_925,plain,
j(e24) = e10,
inference(splitLeft,[status(thm)],[c_312]) ).
tff(c_202,plain,
h(j(e24)) = e24,
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_926,plain,
h(e10) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_925,c_202]) ).
tff(c_142,plain,
op2(e24,e24) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_310,plain,
op2(h(e10),h(e10)) = h(op1(e10,e10)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_356,plain,
op2(h(e10),h(e10)) = h(e10),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_310]) ).
tff(c_986,plain,
e24 = e20,
inference(demodulation,[status(thm),theory(equality)],[c_926,c_142,c_926,c_926,c_356]) ).
tff(c_987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34,c_986]) ).
tff(c_989,plain,
j(e24) != e10,
inference(splitRight,[status(thm)],[c_312]) ).
tff(c_114,plain,
op1(e12,e13) = e10,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_92,plain,
op1(e14,e14) = e12,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_30,plain,
e23 != e21,
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_154,plain,
op2(e23,e23) = e21,
inference(cnfTransformation,[status(thm)],[f_255]) ).
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_2184,plain,
j(e23) = e10,
inference(splitLeft,[status(thm)],[c_314]) ).
tff(c_2191,plain,
h(e10) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_2184,c_204]) ).
tff(c_2374,plain,
e23 = e21,
inference(demodulation,[status(thm),theory(equality)],[c_154,c_2191,c_2191,c_2191,c_356]) ).
tff(c_2375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_2374]) ).
tff(c_2376,plain,
( ( j(e23) = e11 )
| ( j(e23) = e12 )
| ( j(e23) = e13 )
| ( j(e23) = e14 ) ),
inference(splitRight,[status(thm)],[c_314]) ).
tff(c_2710,plain,
j(e23) = e14,
inference(splitLeft,[status(thm)],[c_2376]) ).
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_2712,plain,
op1(e14,e14) = j(e21),
inference(demodulation,[status(thm),theory(equality)],[c_2710,c_2710,c_349]) ).
tff(c_2725,plain,
j(e21) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_2712]) ).
tff(c_2731,plain,
op1(e12,e12) = j(e22),
inference(demodulation,[status(thm),theory(equality)],[c_2725,c_2725,c_337]) ).
tff(c_2739,plain,
j(e22) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_2731]) ).
tff(c_176,plain,
op2(e21,e22) = e24,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_246,plain,
op1(j(e21),j(e22)) = j(op2(e21,e22)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_338,plain,
op1(j(e21),j(e22)) = j(e24),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_246]) ).
tff(c_2736,plain,
op1(e12,j(e22)) = j(e24),
inference(demodulation,[status(thm),theory(equality)],[c_2725,c_338]) ).
tff(c_2857,plain,
j(e24) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_114,c_2739,c_2736]) ).
tff(c_2858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_989,c_2857]) ).
tff(c_2859,plain,
( ( j(e23) = e13 )
| ( j(e23) = e12 )
| ( j(e23) = e11 ) ),
inference(splitRight,[status(thm)],[c_2376]) ).
tff(c_2882,plain,
j(e23) = e11,
inference(splitLeft,[status(thm)],[c_2859]) ).
tff(c_2885,plain,
op1(e11,e11) = j(e21),
inference(demodulation,[status(thm),theory(equality)],[c_2882,c_2882,c_349]) ).
tff(c_2898,plain,
j(e21) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2885]) ).
tff(c_2900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2536,c_2898]) ).
tff(c_2901,plain,
( ( j(e23) = e12 )
| ( j(e23) = e13 ) ),
inference(splitRight,[status(thm)],[c_2859]) ).
tff(c_2903,plain,
j(e23) = e13,
inference(splitLeft,[status(thm)],[c_2901]) ).
tff(c_2907,plain,
op1(e13,e13) = j(e21),
inference(demodulation,[status(thm),theory(equality)],[c_2903,c_2903,c_349]) ).
tff(c_2920,plain,
j(e21) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_2907]) ).
tff(c_174,plain,
op2(e21,e23) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_244,plain,
op1(j(e21),j(e23)) = j(op2(e21,e23)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_339,plain,
op1(j(e21),j(e23)) = j(e20),
inference(demodulation,[status(thm),theory(equality)],[c_174,c_244]) ).
tff(c_2911,plain,
op1(j(e21),e13) = j(e20),
inference(demodulation,[status(thm),theory(equality)],[c_2903,c_339]) ).
tff(c_3043,plain,
j(e20) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_94,c_2920,c_2911]) ).
tff(c_160,plain,
op2(e23,e20) = e23,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_230,plain,
op1(j(e23),j(e20)) = j(op2(e23,e20)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_346,plain,
op1(j(e23),j(e20)) = j(e23),
inference(demodulation,[status(thm),theory(equality)],[c_160,c_230]) ).
tff(c_2914,plain,
op1(e13,j(e20)) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_2903,c_2903,c_346]) ).
tff(c_3044,plain,
op1(e13,e11) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_3043,c_2914]) ).
tff(c_3056,plain,
e13 = e12,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_3044]) ).
tff(c_3058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_3056]) ).
tff(c_3059,plain,
j(e23) = e12,
inference(splitRight,[status(thm)],[c_2901]) ).
tff(c_3064,plain,
op1(e12,e12) = j(e21),
inference(demodulation,[status(thm),theory(equality)],[c_3059,c_3059,c_349]) ).
tff(c_3077,plain,
j(e21) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_3064]) ).
tff(c_3103,plain,
op1(e13,e13) = j(e22),
inference(demodulation,[status(thm),theory(equality)],[c_3077,c_3077,c_337]) ).
tff(c_3111,plain,
j(e22) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_3103]) ).
tff(c_156,plain,
op2(e23,e22) = e20,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_226,plain,
op1(j(e23),j(e22)) = j(op2(e23,e22)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_348,plain,
op1(j(e23),j(e22)) = j(e20),
inference(demodulation,[status(thm),theory(equality)],[c_156,c_226]) ).
tff(c_3072,plain,
op1(e12,j(e22)) = j(e20),
inference(demodulation,[status(thm),theory(equality)],[c_3059,c_348]) ).
tff(c_3212,plain,
j(e20) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_112,c_3111,c_3072]) ).
tff(c_188,plain,
op2(e20,e21) = e21,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_258,plain,
op1(j(e20),j(e21)) = j(op2(e20,e21)),
inference(cnfTransformation,[status(thm)],[f_476]) ).
tff(c_332,plain,
op1(j(e20),j(e21)) = j(e21),
inference(demodulation,[status(thm),theory(equality)],[c_188,c_258]) ).
tff(c_3104,plain,
op1(j(e20),e13) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_3077,c_3077,c_332]) ).
tff(c_3213,plain,
op1(e11,e13) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_3212,c_3104]) ).
tff(c_3225,plain,
e13 = e12,
inference(demodulation,[status(thm),theory(equality)],[c_124,c_3213]) ).
tff(c_3227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_3225]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : ALG080+1 : TPTP v8.1.2. Released v2.7.0.
% 0.14/0.14 % 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
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 20:21:00 EDT 2023
% 0.15/0.36 % CPUTime :
% 9.20/3.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.20/3.14
% 9.20/3.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.62/3.18
% 9.62/3.18 Inference rules
% 9.62/3.18 ----------------------
% 9.62/3.18 #Ref : 0
% 9.62/3.18 #Sup : 762
% 9.62/3.18 #Fact : 0
% 9.62/3.18 #Define : 0
% 9.62/3.18 #Split : 41
% 9.62/3.18 #Chain : 0
% 9.62/3.18 #Close : 0
% 9.62/3.18
% 9.62/3.18 Ordering : KBO
% 9.62/3.18
% 9.62/3.18 Simplification rules
% 9.62/3.18 ----------------------
% 9.62/3.18 #Subsume : 73
% 9.62/3.18 #Demod : 1420
% 9.62/3.18 #Tautology : 904
% 9.62/3.18 #SimpNegUnit : 48
% 9.62/3.18 #BackRed : 838
% 9.62/3.18
% 9.62/3.18 #Partial instantiations: 0
% 9.62/3.18 #Strategies tried : 1
% 9.62/3.18
% 9.62/3.18 Timing (in seconds)
% 9.62/3.18 ----------------------
% 9.62/3.19 Preprocessing : 0.63
% 9.62/3.19 Parsing : 0.33
% 9.62/3.19 CNF conversion : 0.03
% 9.62/3.19 Main loop : 1.47
% 9.62/3.19 Inferencing : 0.31
% 9.62/3.19 Reduction : 0.65
% 9.62/3.19 Demodulation : 0.47
% 9.62/3.19 BG Simplification : 0.05
% 9.62/3.19 Subsumption : 0.30
% 9.62/3.19 Abstraction : 0.03
% 9.62/3.19 MUC search : 0.00
% 9.62/3.19 Cooper : 0.00
% 9.62/3.19 Total : 2.16
% 9.62/3.19 Index Insertion : 0.00
% 9.62/3.19 Index Deletion : 0.00
% 9.62/3.19 Index Matching : 0.00
% 9.62/3.19 BG Taut test : 0.00
%------------------------------------------------------------------------------