TSTP Solution File: PUZ030-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : n018.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 10:54:03 EDT 2023
% Result : Unsatisfiable 4.09s 1.94s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 54
% Syntax : Number of formulae : 305 ( 158 unt; 10 typ; 0 def)
% Number of atoms : 548 ( 0 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 472 ( 219 ~; 253 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > salt_mill > salt_lang > salt_dix > salt_cole > salt_barry > mustard_mill > mustard_lang > mustard_dix > mustard_cole > mustard_barry
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(mustard_mill,type,
mustard_mill: $o ).
tff(salt_cole,type,
salt_cole: $o ).
tff(mustard_dix,type,
mustard_dix: $o ).
tff(salt_mill,type,
salt_mill: $o ).
tff(salt_dix,type,
salt_dix: $o ).
tff(mustard_cole,type,
mustard_cole: $o ).
tff(mustard_lang,type,
mustard_lang: $o ).
tff(salt_barry,type,
salt_barry: $o ).
tff(salt_lang,type,
salt_lang: $o ).
tff(mustard_barry,type,
mustard_barry: $o ).
tff(f_480,axiom,
( salt_dix
| mustard_dix
| mustard_barry ),
file(unknown,unknown) ).
tff(f_247,axiom,
( salt_barry
| ~ mustard_barry
| salt_lang ),
file(unknown,unknown) ).
tff(f_55,axiom,
( ~ mustard_lang
| ~ mustard_cole
| ~ mustard_mill ),
file(unknown,unknown) ).
tff(f_253,axiom,
( ~ salt_barry
| mustard_barry
| salt_lang ),
file(unknown,unknown) ).
tff(f_47,axiom,
( ~ salt_mill
| salt_barry
| salt_lang ),
file(unknown,unknown) ).
tff(f_455,axiom,
( salt_cole
| mustard_cole
| mustard_lang ),
file(unknown,unknown) ).
tff(f_475,axiom,
( salt_mill
| mustard_mill
| salt_cole ),
file(unknown,unknown) ).
tff(f_348,axiom,
( ~ salt_cole
| salt_barry
| mustard_barry
| ~ mustard_mill ),
file(unknown,unknown) ).
tff(f_87,axiom,
( ~ mustard_dix
| ~ mustard_lang
| ~ mustard_mill ),
file(unknown,unknown) ).
tff(f_267,axiom,
( ~ salt_lang
| ~ mustard_lang
| mustard_cole ),
file(unknown,unknown) ).
tff(f_241,axiom,
( ~ salt_dix
| mustard_dix
| salt_lang ),
file(unknown,unknown) ).
tff(f_311,axiom,
( salt_cole
| ~ mustard_cole
| salt_barry ),
file(unknown,unknown) ).
tff(f_450,axiom,
( salt_mill
| mustard_mill
| mustard_lang ),
file(unknown,unknown) ).
tff(f_299,axiom,
( salt_lang
| ~ mustard_lang
| salt_barry ),
file(unknown,unknown) ).
tff(f_222,axiom,
( ~ salt_lang
| ~ mustard_lang
| salt_mill ),
file(unknown,unknown) ).
tff(f_29,axiom,
( ~ salt_mill
| mustard_barry
| mustard_lang ),
file(unknown,unknown) ).
tff(f_63,axiom,
( ~ mustard_lang
| ~ mustard_cole
| ~ salt_mill ),
file(unknown,unknown) ).
tff(f_103,axiom,
( ~ mustard_dix
| ~ salt_lang
| ~ mustard_mill ),
file(unknown,unknown) ).
tff(f_293,axiom,
( ~ salt_mill
| ~ mustard_mill
| mustard_barry ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ~ salt_dix
| mustard_dix
| mustard_mill ),
file(unknown,unknown) ).
tff(f_111,axiom,
( ~ mustard_dix
| ~ salt_lang
| ~ salt_mill ),
file(unknown,unknown) ).
tff(f_132,axiom,
( ~ salt_dix
| ~ salt_barry
| mustard_cole ),
file(unknown,unknown) ).
tff(f_145,axiom,
( ~ mustard_cole
| mustard_dix
| mustard_lang ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ~ mustard_dix
| ~ mustard_lang
| ~ salt_mill ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ~ mustard_lang
| ~ salt_cole
| ~ mustard_mill ),
file(unknown,unknown) ).
tff(f_139,axiom,
( ~ salt_dix
| ~ salt_barry
| salt_cole ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ~ mustard_barry
| ~ salt_dix
| salt_mill ),
file(unknown,unknown) ).
tff(f_280,axiom,
( salt_barry
| ~ mustard_barry
| salt_cole ),
file(unknown,unknown) ).
tff(f_184,axiom,
( ~ mustard_barry
| ~ salt_dix
| mustard_mill ),
file(unknown,unknown) ).
tff(f_41,axiom,
( ~ salt_mill
| salt_barry
| mustard_lang ),
file(unknown,unknown) ).
tff(f_328,axiom,
( ~ salt_cole
| ~ mustard_barry
| ~ salt_barry
| ~ mustard_mill ),
file(unknown,unknown) ).
tff(f_163,axiom,
( ~ mustard_cole
| salt_dix
| salt_lang ),
file(unknown,unknown) ).
tff(f_197,axiom,
( salt_dix
| ~ mustard_dix
| mustard_mill ),
file(unknown,unknown) ).
tff(f_465,axiom,
( salt_lang
| mustard_lang
| mustard_dix ),
file(unknown,unknown) ).
tff(f_235,axiom,
( salt_dix
| ~ mustard_dix
| salt_lang ),
file(unknown,unknown) ).
tff(f_79,axiom,
( ~ mustard_lang
| ~ salt_cole
| ~ salt_mill ),
file(unknown,unknown) ).
tff(f_229,axiom,
( ~ salt_barry
| ~ mustard_barry
| salt_mill ),
file(unknown,unknown) ).
tff(f_339,axiom,
( ~ salt_cole
| ~ mustard_barry
| ~ salt_barry
| ~ salt_mill ),
file(unknown,unknown) ).
tff(f_381,axiom,
( ~ mustard_mill
| salt_cole
| mustard_cole
| salt_dix
| mustard_dix ),
file(unknown,unknown) ).
tff(f_503,axiom,
( salt_lang
| ~ mustard_barry
| ~ salt_barry
| ~ salt_mill
| ~ mustard_lang
| salt_cole
| mustard_cole
| salt_dix
| mustard_dix
| mustard_mill ),
file(unknown,unknown) ).
tff(f_157,axiom,
( ~ mustard_cole
| salt_dix
| mustard_lang ),
file(unknown,unknown) ).
tff(f_317,axiom,
( ~ salt_cole
| mustard_cole
| salt_barry ),
file(unknown,unknown) ).
tff(f_460,axiom,
( salt_mill
| mustard_mill
| mustard_dix ),
file(unknown,unknown) ).
tff(f_470,axiom,
( salt_barry
| mustard_barry
| salt_dix ),
file(unknown,unknown) ).
tff(c_124,plain,
( mustard_barry
| mustard_dix
| salt_dix ),
inference(cnfTransformation,[status(thm)],[f_480]) ).
tff(c_127,plain,
salt_dix,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_66,plain,
( salt_lang
| ~ mustard_barry
| salt_barry ),
inference(cnfTransformation,[status(thm)],[f_247]) ).
tff(c_128,plain,
~ mustard_barry,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_10,plain,
( ~ mustard_mill
| ~ mustard_cole
| ~ mustard_lang ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_536,plain,
~ mustard_lang,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_68,plain,
( salt_lang
| mustard_barry
| ~ salt_barry ),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_129,plain,
( salt_lang
| ~ salt_barry ),
inference(negUnitSimplification,[status(thm)],[c_128,c_68]) ).
tff(c_130,plain,
~ salt_barry,
inference(splitLeft,[status(thm)],[c_129]) ).
tff(c_8,plain,
( salt_lang
| salt_barry
| ~ salt_mill ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_132,plain,
( salt_lang
| ~ salt_mill ),
inference(negUnitSimplification,[status(thm)],[c_130,c_8]) ).
tff(c_133,plain,
~ salt_mill,
inference(splitLeft,[status(thm)],[c_132]) ).
tff(c_114,plain,
( mustard_lang
| mustard_cole
| salt_cole ),
inference(cnfTransformation,[status(thm)],[f_455]) ).
tff(c_136,plain,
salt_cole,
inference(splitLeft,[status(thm)],[c_114]) ).
tff(c_122,plain,
( salt_cole
| mustard_mill
| salt_mill ),
inference(cnfTransformation,[status(thm)],[f_475]) ).
tff(c_134,plain,
( salt_cole
| mustard_mill ),
inference(negUnitSimplification,[status(thm)],[c_133,c_122]) ).
tff(c_135,plain,
mustard_mill,
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_94,plain,
( ~ mustard_mill
| mustard_barry
| salt_barry
| ~ salt_cole ),
inference(cnfTransformation,[status(thm)],[f_348]) ).
tff(c_302,plain,
( mustard_barry
| salt_barry ),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_135,c_94]) ).
tff(c_303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_128,c_302]) ).
tff(c_305,plain,
~ salt_cole,
inference(splitRight,[status(thm)],[c_114]) ).
tff(c_304,plain,
( mustard_cole
| mustard_lang ),
inference(splitRight,[status(thm)],[c_114]) ).
tff(c_306,plain,
mustard_lang,
inference(splitLeft,[status(thm)],[c_304]) ).
tff(c_18,plain,
( ~ mustard_mill
| ~ mustard_lang
| ~ mustard_dix ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_320,plain,
~ mustard_dix,
inference(demodulation,[status(thm),theory(equality)],[c_306,c_135,c_18]) ).
tff(c_72,plain,
( mustard_cole
| ~ mustard_lang
| ~ salt_lang ),
inference(cnfTransformation,[status(thm)],[f_267]) ).
tff(c_308,plain,
( mustard_cole
| ~ salt_lang ),
inference(demodulation,[status(thm),theory(equality)],[c_306,c_72]) ).
tff(c_309,plain,
~ salt_lang,
inference(splitLeft,[status(thm)],[c_308]) ).
tff(c_64,plain,
( salt_lang
| mustard_dix
| ~ salt_dix ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_337,plain,
( salt_lang
| mustard_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_127,c_64]) ).
tff(c_338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_320,c_309,c_337]) ).
tff(c_339,plain,
mustard_cole,
inference(splitRight,[status(thm)],[c_308]) ).
tff(c_86,plain,
( salt_barry
| ~ mustard_cole
| salt_cole ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_390,plain,
( salt_barry
| salt_cole ),
inference(demodulation,[status(thm),theory(equality)],[c_339,c_86]) ).
tff(c_391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_305,c_130,c_390]) ).
tff(c_392,plain,
mustard_cole,
inference(splitRight,[status(thm)],[c_304]) ).
tff(c_442,plain,
( salt_barry
| salt_cole ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_86]) ).
tff(c_443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_305,c_130,c_442]) ).
tff(c_445,plain,
~ mustard_mill,
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_112,plain,
( mustard_lang
| mustard_mill
| salt_mill ),
inference(cnfTransformation,[status(thm)],[f_450]) ).
tff(c_456,plain,
mustard_lang,
inference(negUnitSimplification,[status(thm)],[c_133,c_445,c_112]) ).
tff(c_82,plain,
( salt_barry
| ~ mustard_lang
| salt_lang ),
inference(cnfTransformation,[status(thm)],[f_299]) ).
tff(c_479,plain,
( salt_barry
| salt_lang ),
inference(demodulation,[status(thm),theory(equality)],[c_456,c_82]) ).
tff(c_480,plain,
salt_lang,
inference(negUnitSimplification,[status(thm)],[c_130,c_479]) ).
tff(c_58,plain,
( salt_mill
| ~ mustard_lang
| ~ salt_lang ),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_531,plain,
salt_mill,
inference(demodulation,[status(thm),theory(equality)],[c_480,c_456,c_58]) ).
tff(c_532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133,c_531]) ).
tff(c_534,plain,
salt_mill,
inference(splitRight,[status(thm)],[c_132]) ).
tff(c_2,plain,
( mustard_lang
| mustard_barry
| ~ salt_mill ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_538,plain,
( mustard_lang
| mustard_barry ),
inference(demodulation,[status(thm),theory(equality)],[c_534,c_2]) ).
tff(c_539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_536,c_538]) ).
tff(c_541,plain,
mustard_lang,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_533,plain,
salt_lang,
inference(splitRight,[status(thm)],[c_132]) ).
tff(c_544,plain,
mustard_cole,
inference(demodulation,[status(thm),theory(equality)],[c_533,c_541,c_72]) ).
tff(c_12,plain,
( ~ salt_mill
| ~ mustard_cole
| ~ mustard_lang ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_578,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_541,c_544,c_534,c_12]) ).
tff(c_579,plain,
salt_lang,
inference(splitRight,[status(thm)],[c_129]) ).
tff(c_22,plain,
( ~ mustard_mill
| ~ salt_lang
| ~ mustard_dix ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_598,plain,
( ~ mustard_mill
| ~ mustard_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_579,c_22]) ).
tff(c_599,plain,
~ mustard_dix,
inference(splitLeft,[status(thm)],[c_598]) ).
tff(c_585,plain,
~ mustard_lang,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_590,plain,
( mustard_mill
| salt_mill ),
inference(negUnitSimplification,[status(thm)],[c_585,c_112]) ).
tff(c_591,plain,
salt_mill,
inference(splitLeft,[status(thm)],[c_590]) ).
tff(c_80,plain,
( mustard_barry
| ~ mustard_mill
| ~ salt_mill ),
inference(cnfTransformation,[status(thm)],[f_293]) ).
tff(c_609,plain,
( mustard_barry
| ~ mustard_mill ),
inference(demodulation,[status(thm),theory(equality)],[c_591,c_80]) ).
tff(c_610,plain,
~ mustard_mill,
inference(negUnitSimplification,[status(thm)],[c_128,c_609]) ).
tff(c_52,plain,
( mustard_mill
| mustard_dix
| ~ salt_dix ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_617,plain,
( mustard_mill
| mustard_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_127,c_52]) ).
tff(c_618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_599,c_610,c_617]) ).
tff(c_620,plain,
mustard_dix,
inference(splitRight,[status(thm)],[c_598]) ).
tff(c_24,plain,
( ~ salt_mill
| ~ salt_lang
| ~ mustard_dix ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_647,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_620,c_579,c_591,c_24]) ).
tff(c_648,plain,
mustard_mill,
inference(splitRight,[status(thm)],[c_590]) ).
tff(c_653,plain,
~ mustard_dix,
inference(demodulation,[status(thm),theory(equality)],[c_579,c_648,c_22]) ).
tff(c_580,plain,
salt_barry,
inference(splitRight,[status(thm)],[c_129]) ).
tff(c_30,plain,
( mustard_cole
| ~ salt_barry
| ~ salt_dix ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_686,plain,
mustard_cole,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_580,c_30]) ).
tff(c_34,plain,
( mustard_lang
| mustard_dix
| ~ mustard_cole ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_717,plain,
( mustard_lang
| mustard_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_686,c_34]) ).
tff(c_718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_653,c_585,c_717]) ).
tff(c_720,plain,
mustard_lang,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_20,plain,
( ~ salt_mill
| ~ mustard_lang
| ~ mustard_dix ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_735,plain,
( ~ salt_mill
| ~ mustard_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_720,c_20]) ).
tff(c_736,plain,
~ mustard_dix,
inference(splitLeft,[status(thm)],[c_735]) ).
tff(c_719,plain,
( ~ mustard_cole
| ~ mustard_mill ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_721,plain,
~ mustard_mill,
inference(splitLeft,[status(thm)],[c_719]) ).
tff(c_770,plain,
( mustard_mill
| mustard_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_127,c_52]) ).
tff(c_771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_736,c_721,c_770]) ).
tff(c_772,plain,
~ salt_mill,
inference(splitRight,[status(thm)],[c_735]) ).
tff(c_849,plain,
salt_mill,
inference(demodulation,[status(thm),theory(equality)],[c_579,c_720,c_58]) ).
tff(c_850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_772,c_849]) ).
tff(c_852,plain,
mustard_mill,
inference(splitRight,[status(thm)],[c_719]) ).
tff(c_14,plain,
( ~ mustard_mill
| ~ salt_cole
| ~ mustard_lang ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_854,plain,
~ salt_cole,
inference(demodulation,[status(thm),theory(equality)],[c_720,c_852,c_14]) ).
tff(c_32,plain,
( salt_cole
| ~ salt_barry
| ~ salt_dix ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_871,plain,
salt_cole,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_580,c_32]) ).
tff(c_872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_854,c_871]) ).
tff(c_873,plain,
( salt_barry
| salt_lang ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_875,plain,
salt_lang,
inference(splitLeft,[status(thm)],[c_873]) ).
tff(c_874,plain,
mustard_barry,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_48,plain,
( salt_mill
| ~ salt_dix
| ~ mustard_barry ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_887,plain,
salt_mill,
inference(demodulation,[status(thm),theory(equality)],[c_874,c_127,c_48]) ).
tff(c_907,plain,
~ mustard_dix,
inference(demodulation,[status(thm),theory(equality)],[c_875,c_887,c_24]) ).
tff(c_883,plain,
~ mustard_lang,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_76,plain,
( salt_cole
| ~ mustard_barry
| salt_barry ),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_880,plain,
( salt_cole
| salt_barry ),
inference(demodulation,[status(thm),theory(equality)],[c_874,c_76]) ).
tff(c_881,plain,
salt_barry,
inference(splitLeft,[status(thm)],[c_880]) ).
tff(c_928,plain,
mustard_cole,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_881,c_30]) ).
tff(c_950,plain,
( mustard_lang
| mustard_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_928,c_34]) ).
tff(c_951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_907,c_883,c_950]) ).
tff(c_953,plain,
mustard_lang,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_952,plain,
( ~ mustard_cole
| ~ mustard_mill ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_954,plain,
~ mustard_mill,
inference(splitLeft,[status(thm)],[c_952]) ).
tff(c_46,plain,
( mustard_mill
| ~ salt_dix
| ~ mustard_barry ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_982,plain,
mustard_mill,
inference(demodulation,[status(thm),theory(equality)],[c_874,c_127,c_46]) ).
tff(c_983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_954,c_982]) ).
tff(c_985,plain,
mustard_mill,
inference(splitRight,[status(thm)],[c_952]) ).
tff(c_990,plain,
~ salt_cole,
inference(demodulation,[status(thm),theory(equality)],[c_953,c_985,c_14]) ).
tff(c_1005,plain,
salt_cole,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_881,c_32]) ).
tff(c_1006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_990,c_1005]) ).
tff(c_1008,plain,
~ salt_barry,
inference(splitRight,[status(thm)],[c_880]) ).
tff(c_1010,plain,
( mustard_cole
| ~ mustard_lang ),
inference(demodulation,[status(thm),theory(equality)],[c_875,c_72]) ).
tff(c_1011,plain,
~ mustard_lang,
inference(splitLeft,[status(thm)],[c_1010]) ).
tff(c_1017,plain,
salt_mill,
inference(demodulation,[status(thm),theory(equality)],[c_874,c_127,c_48]) ).
tff(c_6,plain,
( mustard_lang
| salt_barry
| ~ salt_mill ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_1036,plain,
( mustard_lang
| salt_barry ),
inference(demodulation,[status(thm),theory(equality)],[c_1017,c_6]) ).
tff(c_1037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1008,c_1011,c_1036]) ).
tff(c_1039,plain,
mustard_lang,
inference(splitRight,[status(thm)],[c_1010]) ).
tff(c_1038,plain,
mustard_cole,
inference(splitRight,[status(thm)],[c_1010]) ).
tff(c_1041,plain,
~ mustard_mill,
inference(demodulation,[status(thm),theory(equality)],[c_1039,c_1038,c_10]) ).
tff(c_1046,plain,
mustard_mill,
inference(demodulation,[status(thm),theory(equality)],[c_874,c_127,c_46]) ).
tff(c_1047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1041,c_1046]) ).
tff(c_1048,plain,
salt_barry,
inference(splitRight,[status(thm)],[c_873]) ).
tff(c_1102,plain,
salt_cole,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_1048,c_32]) ).
tff(c_1059,plain,
mustard_mill,
inference(demodulation,[status(thm),theory(equality)],[c_874,c_127,c_46]) ).
tff(c_90,plain,
( ~ mustard_mill
| ~ salt_barry
| ~ mustard_barry
| ~ salt_cole ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_1160,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1102,c_874,c_1048,c_1059,c_90]) ).
tff(c_1162,plain,
~ salt_dix,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_1767,plain,
~ mustard_lang,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_40,plain,
( salt_lang
| salt_dix
| ~ mustard_cole ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_1778,plain,
( salt_lang
| ~ mustard_cole ),
inference(negUnitSimplification,[status(thm)],[c_1162,c_40]) ).
tff(c_1779,plain,
~ mustard_cole,
inference(splitLeft,[status(thm)],[c_1778]) ).
tff(c_1168,plain,
salt_cole,
inference(splitLeft,[status(thm)],[c_114]) ).
tff(c_1161,plain,
( mustard_dix
| mustard_barry ),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_1163,plain,
mustard_barry,
inference(splitLeft,[status(thm)],[c_1161]) ).
tff(c_1166,plain,
( salt_cole
| salt_barry ),
inference(demodulation,[status(thm),theory(equality)],[c_1163,c_76]) ).
tff(c_1167,plain,
salt_barry,
inference(splitLeft,[status(thm)],[c_1166]) ).
tff(c_1170,plain,
~ salt_lang,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_1183,plain,
( ~ mustard_mill
| ~ mustard_lang ),
inference(demodulation,[status(thm),theory(equality)],[c_1168,c_14]) ).
tff(c_1184,plain,
~ mustard_lang,
inference(splitLeft,[status(thm)],[c_1183]) ).
tff(c_50,plain,
( mustard_mill
| ~ mustard_dix
| salt_dix ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_1193,plain,
( mustard_mill
| ~ mustard_dix ),
inference(negUnitSimplification,[status(thm)],[c_1162,c_50]) ).
tff(c_1194,plain,
~ mustard_dix,
inference(splitLeft,[status(thm)],[c_1193]) ).
tff(c_118,plain,
( mustard_dix
| mustard_lang
| salt_lang ),
inference(cnfTransformation,[status(thm)],[f_465]) ).
tff(c_1227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1170,c_1184,c_1194,c_118]) ).
tff(c_1229,plain,
mustard_dix,
inference(splitRight,[status(thm)],[c_1193]) ).
tff(c_62,plain,
( salt_lang
| ~ mustard_dix
| salt_dix ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_1281,plain,
( salt_lang
| salt_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_1229,c_62]) ).
tff(c_1282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1162,c_1170,c_1281]) ).
tff(c_1284,plain,
mustard_lang,
inference(splitRight,[status(thm)],[c_1183]) ).
tff(c_1181,plain,
salt_mill,
inference(splitLeft,[status(thm)],[c_112]) ).
tff(c_16,plain,
( ~ salt_mill
| ~ salt_cole
| ~ mustard_lang ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1289,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1284,c_1168,c_1181,c_16]) ).
tff(c_1291,plain,
~ salt_mill,
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_60,plain,
( salt_mill
| ~ mustard_barry
| ~ salt_barry ),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_1389,plain,
salt_mill,
inference(demodulation,[status(thm),theory(equality)],[c_1167,c_1163,c_60]) ).
tff(c_1390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1291,c_1389]) ).
tff(c_1391,plain,
( ~ mustard_lang
| mustard_cole ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_1393,plain,
~ mustard_lang,
inference(splitLeft,[status(thm)],[c_1391]) ).
tff(c_1402,plain,
( mustard_mill
| salt_mill ),
inference(negUnitSimplification,[status(thm)],[c_1393,c_112]) ).
tff(c_1403,plain,
salt_mill,
inference(splitLeft,[status(thm)],[c_1402]) ).
tff(c_92,plain,
( ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| ~ salt_cole ),
inference(cnfTransformation,[status(thm)],[f_339]) ).
tff(c_1482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1168,c_1163,c_1167,c_1403,c_92]) ).
tff(c_1484,plain,
~ salt_mill,
inference(splitRight,[status(thm)],[c_1402]) ).
tff(c_1517,plain,
salt_mill,
inference(demodulation,[status(thm),theory(equality)],[c_1167,c_1163,c_60]) ).
tff(c_1518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1484,c_1517]) ).
tff(c_1519,plain,
( mustard_cole
| mustard_lang ),
inference(splitRight,[status(thm)],[c_114]) ).
tff(c_1521,plain,
mustard_lang,
inference(splitLeft,[status(thm)],[c_1519]) ).
tff(c_1531,plain,
( ~ salt_mill
| ~ mustard_cole ),
inference(demodulation,[status(thm),theory(equality)],[c_1521,c_12]) ).
tff(c_1532,plain,
~ mustard_cole,
inference(splitLeft,[status(thm)],[c_1531]) ).
tff(c_1600,plain,
( mustard_cole
| ~ salt_lang ),
inference(demodulation,[status(thm),theory(equality)],[c_1521,c_72]) ).
tff(c_1601,plain,
~ salt_lang,
inference(negUnitSimplification,[status(thm)],[c_1532,c_1600]) ).
tff(c_1520,plain,
~ salt_cole,
inference(splitRight,[status(thm)],[c_114]) ).
tff(c_1528,plain,
( mustard_mill
| ~ mustard_dix ),
inference(negUnitSimplification,[status(thm)],[c_1162,c_50]) ).
tff(c_1529,plain,
~ mustard_dix,
inference(splitLeft,[status(thm)],[c_1528]) ).
tff(c_100,plain,
( mustard_dix
| salt_dix
| mustard_cole
| salt_cole
| ~ mustard_mill ),
inference(cnfTransformation,[status(thm)],[f_381]) ).
tff(c_1612,plain,
~ mustard_mill,
inference(negUnitSimplification,[status(thm)],[c_1520,c_1532,c_1162,c_1529,c_100]) ).
tff(c_1562,plain,
( mustard_mill
| salt_mill ),
inference(negUnitSimplification,[status(thm)],[c_1520,c_122]) ).
tff(c_1563,plain,
salt_mill,
inference(splitLeft,[status(thm)],[c_1562]) ).
tff(c_126,plain,
( mustard_mill
| mustard_dix
| salt_dix
| mustard_cole
| salt_cole
| ~ mustard_lang
| ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| salt_lang ),
inference(cnfTransformation,[status(thm)],[f_503]) ).
tff(c_1625,plain,
( mustard_mill
| mustard_dix
| salt_dix
| mustard_cole
| salt_cole
| salt_lang ),
inference(demodulation,[status(thm),theory(equality)],[c_1163,c_1167,c_1563,c_1521,c_126]) ).
tff(c_1626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1601,c_1520,c_1532,c_1162,c_1529,c_1612,c_1625]) ).
tff(c_1628,plain,
~ salt_mill,
inference(splitRight,[status(thm)],[c_1562]) ).
tff(c_1670,plain,
salt_mill,
inference(demodulation,[status(thm),theory(equality)],[c_1167,c_1163,c_60]) ).
tff(c_1671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1628,c_1670]) ).
tff(c_1673,plain,
mustard_cole,
inference(splitRight,[status(thm)],[c_1531]) ).
tff(c_1672,plain,
~ salt_mill,
inference(splitRight,[status(thm)],[c_1531]) ).
tff(c_1712,plain,
mustard_mill,
inference(negUnitSimplification,[status(thm)],[c_1672,c_1520,c_122]) ).
tff(c_1718,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1521,c_1673,c_1712,c_10]) ).
tff(c_1720,plain,
mustard_dix,
inference(splitRight,[status(thm)],[c_1528]) ).
tff(c_1719,plain,
mustard_mill,
inference(splitRight,[status(thm)],[c_1528]) ).
tff(c_1734,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1720,c_1521,c_1719,c_18]) ).
tff(c_1736,plain,
~ mustard_lang,
inference(splitRight,[status(thm)],[c_1519]) ).
tff(c_1735,plain,
mustard_cole,
inference(splitRight,[status(thm)],[c_1519]) ).
tff(c_38,plain,
( mustard_lang
| salt_dix
| ~ mustard_cole ),
inference(cnfTransformation,[status(thm)],[f_157]) ).
tff(c_1757,plain,
( mustard_lang
| salt_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_1735,c_38]) ).
tff(c_1758,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1162,c_1736,c_1757]) ).
tff(c_1760,plain,
~ salt_barry,
inference(splitRight,[status(thm)],[c_1166]) ).
tff(c_1759,plain,
salt_cole,
inference(splitRight,[status(thm)],[c_1166]) ).
tff(c_88,plain,
( salt_barry
| mustard_cole
| ~ salt_cole ),
inference(cnfTransformation,[status(thm)],[f_317]) ).
tff(c_1801,plain,
( salt_barry
| mustard_cole ),
inference(demodulation,[status(thm),theory(equality)],[c_1759,c_88]) ).
tff(c_1802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1779,c_1760,c_1801]) ).
tff(c_1804,plain,
mustard_cole,
inference(splitRight,[status(thm)],[c_1778]) ).
tff(c_1813,plain,
( mustard_lang
| salt_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_1804,c_38]) ).
tff(c_1814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1162,c_1767,c_1813]) ).
tff(c_1816,plain,
mustard_lang,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_1815,plain,
( ~ mustard_cole
| ~ mustard_mill ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_1817,plain,
~ mustard_mill,
inference(splitLeft,[status(thm)],[c_1815]) ).
tff(c_1762,plain,
( mustard_lang
| ~ salt_mill ),
inference(negUnitSimplification,[status(thm)],[c_1760,c_6]) ).
tff(c_1763,plain,
~ salt_mill,
inference(splitLeft,[status(thm)],[c_1762]) ).
tff(c_116,plain,
( mustard_dix
| mustard_mill
| salt_mill ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_1847,plain,
mustard_dix,
inference(negUnitSimplification,[status(thm)],[c_1763,c_1817,c_116]) ).
tff(c_1853,plain,
( mustard_mill
| salt_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_1847,c_50]) ).
tff(c_1854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1162,c_1817,c_1853]) ).
tff(c_1856,plain,
mustard_mill,
inference(splitRight,[status(thm)],[c_1815]) ).
tff(c_1893,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1816,c_1759,c_1856,c_14]) ).
tff(c_1894,plain,
mustard_lang,
inference(splitRight,[status(thm)],[c_1762]) ).
tff(c_1895,plain,
salt_mill,
inference(splitRight,[status(thm)],[c_1762]) ).
tff(c_1949,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1894,c_1759,c_1895,c_16]) ).
tff(c_1950,plain,
mustard_dix,
inference(splitRight,[status(thm)],[c_1161]) ).
tff(c_1951,plain,
~ mustard_barry,
inference(splitRight,[status(thm)],[c_1161]) ).
tff(c_1952,plain,
( salt_lang
| ~ salt_barry ),
inference(negUnitSimplification,[status(thm)],[c_1951,c_68]) ).
tff(c_1953,plain,
~ salt_barry,
inference(splitLeft,[status(thm)],[c_1952]) ).
tff(c_120,plain,
( salt_dix
| mustard_barry
| salt_barry ),
inference(cnfTransformation,[status(thm)],[f_470]) ).
tff(c_1973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1953,c_1951,c_1162,c_120]) ).
tff(c_1974,plain,
salt_lang,
inference(splitRight,[status(thm)],[c_1952]) ).
tff(c_1977,plain,
( mustard_lang
| ~ salt_mill ),
inference(negUnitSimplification,[status(thm)],[c_1951,c_2]) ).
tff(c_1978,plain,
~ salt_mill,
inference(splitLeft,[status(thm)],[c_1977]) ).
tff(c_1983,plain,
~ mustard_lang,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_1988,plain,
mustard_mill,
inference(negUnitSimplification,[status(thm)],[c_1978,c_1983,c_112]) ).
tff(c_1994,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1950,c_1974,c_1988,c_22]) ).
tff(c_1996,plain,
mustard_lang,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_1995,plain,
( ~ mustard_cole
| ~ mustard_mill ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_1997,plain,
~ mustard_mill,
inference(splitLeft,[status(thm)],[c_1995]) ).
tff(c_2002,plain,
( mustard_mill
| salt_dix ),
inference(demodulation,[status(thm),theory(equality)],[c_1950,c_50]) ).
tff(c_2003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1162,c_1997,c_2002]) ).
tff(c_2005,plain,
mustard_mill,
inference(splitRight,[status(thm)],[c_1995]) ).
tff(c_2018,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1950,c_1996,c_2005,c_18]) ).
tff(c_2019,plain,
mustard_lang,
inference(splitRight,[status(thm)],[c_1977]) ).
tff(c_2020,plain,
salt_mill,
inference(splitRight,[status(thm)],[c_1977]) ).
tff(c_2037,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1950,c_2019,c_2020,c_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 17:45:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.09/1.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.09/1.98
% 4.09/1.98 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.09/2.03
% 4.09/2.03 Inference rules
% 4.09/2.03 ----------------------
% 4.09/2.03 #Ref : 0
% 4.09/2.03 #Sup : 0
% 4.09/2.03 #Fact : 0
% 4.09/2.03 #Define : 0
% 4.09/2.03 #Split : 68
% 4.09/2.03 #Chain : 0
% 4.09/2.03 #Close : 0
% 4.09/2.03
% 4.09/2.03 Ordering : KBO
% 4.09/2.03
% 4.09/2.03 Simplification rules
% 4.09/2.03 ----------------------
% 4.09/2.03 #Subsume : 488
% 4.09/2.03 #Demod : 1334
% 4.09/2.03 #Tautology : 298
% 4.09/2.03 #SimpNegUnit : 396
% 4.09/2.03 #BackRed : 0
% 4.09/2.03
% 4.09/2.03 #Partial instantiations: 0
% 4.09/2.03 #Strategies tried : 1
% 4.09/2.03
% 4.09/2.03 Timing (in seconds)
% 4.09/2.03 ----------------------
% 4.09/2.03 Preprocessing : 0.47
% 4.09/2.03 Parsing : 0.24
% 4.09/2.03 CNF conversion : 0.03
% 4.09/2.03 Main loop : 0.44
% 4.09/2.03 Inferencing : 0.08
% 4.09/2.03 Reduction : 0.16
% 4.09/2.03 Demodulation : 0.10
% 4.09/2.03 BG Simplification : 0.03
% 4.09/2.03 Subsumption : 0.10
% 4.09/2.03 Abstraction : 0.02
% 4.09/2.03 MUC search : 0.00
% 4.09/2.03 Cooper : 0.00
% 4.09/2.03 Total : 1.01
% 4.09/2.03 Index Insertion : 0.00
% 4.09/2.03 Index Deletion : 0.00
% 4.09/2.03 Index Matching : 0.00
% 4.09/2.03 BG Taut test : 0.00
%------------------------------------------------------------------------------