TSTP Solution File: SYN001-1.005 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN001-1.005 : 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/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 : n017.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 11:08:28 EDT 2023
% Result : Unsatisfiable 3.62s 1.83s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 37
% Syntax : Number of formulae : 180 ( 70 unt; 5 typ; 0 def)
% Number of atoms : 504 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 528 ( 199 ~; 329 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > p_5 > p_4 > p_3 > p_2 > p_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p_2,type,
p_2: $o ).
tff(p_5,type,
p_5: $o ).
tff(p_3,type,
p_3: $o ).
tff(p_1,type,
p_1: $o ).
tff(p_4,type,
p_4: $o ).
tff(f_413,axiom,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_64,axiom,
( p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_54,axiom,
( p_1
| p_2
| p_3
| p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_139,axiom,
( p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_184,axiom,
( p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_208,axiom,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_161,axiom,
( p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_117,axiom,
( p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_74,axiom,
( p_1
| p_2
| p_3
| ~ p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_95,axiom,
( p_1
| p_2
| ~ p_3
| p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_85,axiom,
( p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_173,axiom,
( p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_221,axiom,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_129,axiom,
( p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_150,axiom,
( p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_196,axiom,
( p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_106,axiom,
( p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_231,axiom,
( ~ p_1
| p_2
| p_3
| p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_373,axiom,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_348,axiom,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_324,axiom,
( ~ p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_399,axiom,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_253,axiom,
( ~ p_1
| p_2
| p_3
| ~ p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_300,axiom,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_276,axiom,
( ~ p_1
| p_2
| ~ p_3
| p_4
| p_5 ),
file(unknown,unknown) ).
tff(f_242,axiom,
( ~ p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_288,axiom,
( ~ p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_313,axiom,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_265,axiom,
( ~ p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_386,axiom,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_336,axiom,
( ~ p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(f_361,axiom,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
file(unknown,unknown) ).
tff(c_64,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_65,plain,
~ p_1,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_4,plain,
( ~ p_5
| p_4
| p_3
| p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_66,plain,
( ~ p_5
| p_4
| p_3
| p_2 ),
inference(negUnitSimplification,[status(thm)],[c_65,c_4]) ).
tff(c_67,plain,
~ p_5,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_2,plain,
( p_5
| p_4
| p_3
| p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_68,plain,
( p_4
| p_3
| p_2 ),
inference(negUnitSimplification,[status(thm)],[c_65,c_67,c_2]) ).
tff(c_69,plain,
p_2,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_18,plain,
( p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_83,plain,
( p_5
| p_4
| p_3
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_18]) ).
tff(c_84,plain,
( p_4
| p_3 ),
inference(negUnitSimplification,[status(thm)],[c_65,c_67,c_83]) ).
tff(c_85,plain,
p_3,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_26,plain,
( p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_101,plain,
( p_5
| p_4
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_85,c_26]) ).
tff(c_102,plain,
p_4,
inference(negUnitSimplification,[status(thm)],[c_65,c_67,c_101]) ).
tff(c_30,plain,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_107,plain,
( p_5
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_85,c_102,c_30]) ).
tff(c_108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65,c_67,c_107]) ).
tff(c_110,plain,
~ p_3,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_109,plain,
p_4,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_22,plain,
( p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_117,plain,
( p_5
| p_3
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_109,c_22]) ).
tff(c_118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65,c_110,c_67,c_117]) ).
tff(c_120,plain,
~ p_2,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_119,plain,
( p_3
| p_4 ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_121,plain,
p_4,
inference(splitLeft,[status(thm)],[c_119]) ).
tff(c_14,plain,
( p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_132,plain,
( p_5
| ~ p_3
| p_2
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_14]) ).
tff(c_133,plain,
~ p_3,
inference(negUnitSimplification,[status(thm)],[c_65,c_120,c_67,c_132]) ).
tff(c_6,plain,
( p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_186,plain,
( p_5
| p_3
| p_2
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_6]) ).
tff(c_187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65,c_120,c_133,c_67,c_186]) ).
tff(c_189,plain,
~ p_4,
inference(splitRight,[status(thm)],[c_119]) ).
tff(c_188,plain,
p_3,
inference(splitRight,[status(thm)],[c_119]) ).
tff(c_10,plain,
( p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_194,plain,
( p_5
| p_4
| p_2
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_188,c_10]) ).
tff(c_195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65,c_120,c_189,c_67,c_194]) ).
tff(c_196,plain,
( p_2
| p_3
| p_4 ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_198,plain,
p_4,
inference(splitLeft,[status(thm)],[c_196]) ).
tff(c_197,plain,
p_5,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_8,plain,
( ~ p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_203,plain,
( p_3
| p_2
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_198,c_197,c_8]) ).
tff(c_204,plain,
( p_3
| p_2 ),
inference(negUnitSimplification,[status(thm)],[c_65,c_203]) ).
tff(c_205,plain,
p_2,
inference(splitLeft,[status(thm)],[c_204]) ).
tff(c_24,plain,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_233,plain,
( p_3
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_205,c_198,c_197,c_24]) ).
tff(c_234,plain,
p_3,
inference(negUnitSimplification,[status(thm)],[c_65,c_233]) ).
tff(c_32,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_245,plain,
p_1,
inference(demodulation,[status(thm),theory(equality)],[c_205,c_234,c_198,c_197,c_32]) ).
tff(c_246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65,c_245]) ).
tff(c_248,plain,
~ p_2,
inference(splitRight,[status(thm)],[c_204]) ).
tff(c_247,plain,
p_3,
inference(splitRight,[status(thm)],[c_204]) ).
tff(c_16,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_263,plain,
( p_2
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_247,c_198,c_197,c_16]) ).
tff(c_264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65,c_248,c_263]) ).
tff(c_266,plain,
~ p_4,
inference(splitRight,[status(thm)],[c_196]) ).
tff(c_265,plain,
( p_3
| p_2 ),
inference(splitRight,[status(thm)],[c_196]) ).
tff(c_267,plain,
p_2,
inference(splitLeft,[status(thm)],[c_265]) ).
tff(c_20,plain,
( ~ p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_300,plain,
( p_4
| p_3
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_267,c_197,c_20]) ).
tff(c_301,plain,
p_3,
inference(negUnitSimplification,[status(thm)],[c_65,c_266,c_300]) ).
tff(c_28,plain,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_314,plain,
( p_4
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_267,c_301,c_197,c_28]) ).
tff(c_315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65,c_266,c_314]) ).
tff(c_317,plain,
~ p_2,
inference(splitRight,[status(thm)],[c_265]) ).
tff(c_316,plain,
p_3,
inference(splitRight,[status(thm)],[c_265]) ).
tff(c_12,plain,
( ~ p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_339,plain,
( p_4
| p_2
| p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_316,c_197,c_12]) ).
tff(c_340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65,c_317,c_266,c_339]) ).
tff(c_341,plain,
( ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_343,plain,
~ p_5,
inference(splitLeft,[status(thm)],[c_341]) ).
tff(c_342,plain,
p_1,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_34,plain,
( p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_346,plain,
( p_5
| p_4
| p_3
| p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_34]) ).
tff(c_347,plain,
( p_4
| p_3
| p_2 ),
inference(negUnitSimplification,[status(thm)],[c_343,c_346]) ).
tff(c_348,plain,
p_2,
inference(splitLeft,[status(thm)],[c_347]) ).
tff(c_58,plain,
( p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_350,plain,
( p_5
| p_4
| ~ p_3
| ~ p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_58]) ).
tff(c_351,plain,
( p_4
| ~ p_3
| ~ p_2 ),
inference(negUnitSimplification,[status(thm)],[c_343,c_350]) ).
tff(c_352,plain,
~ p_2,
inference(splitLeft,[status(thm)],[c_351]) ).
tff(c_354,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_348,c_352]) ).
tff(c_355,plain,
( ~ p_3
| p_4 ),
inference(splitRight,[status(thm)],[c_351]) ).
tff(c_358,plain,
~ p_3,
inference(splitLeft,[status(thm)],[c_355]) ).
tff(c_54,plain,
( p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_348]) ).
tff(c_381,plain,
( p_5
| ~ p_4
| p_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_348,c_54]) ).
tff(c_382,plain,
~ p_4,
inference(negUnitSimplification,[status(thm)],[c_358,c_343,c_381]) ).
tff(c_50,plain,
( p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_405,plain,
( p_5
| p_4
| p_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_348,c_50]) ).
tff(c_406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_358,c_382,c_343,c_405]) ).
tff(c_408,plain,
p_3,
inference(splitRight,[status(thm)],[c_355]) ).
tff(c_407,plain,
p_4,
inference(splitRight,[status(thm)],[c_355]) ).
tff(c_62,plain,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_465,plain,
p_5,
inference(demodulation,[status(thm),theory(equality)],[c_342,c_348,c_408,c_407,c_62]) ).
tff(c_466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343,c_465]) ).
tff(c_468,plain,
~ p_2,
inference(splitRight,[status(thm)],[c_347]) ).
tff(c_467,plain,
( p_3
| p_4 ),
inference(splitRight,[status(thm)],[c_347]) ).
tff(c_469,plain,
p_4,
inference(splitLeft,[status(thm)],[c_467]) ).
tff(c_38,plain,
( p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_522,plain,
( p_5
| p_3
| p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_469,c_38]) ).
tff(c_523,plain,
p_3,
inference(negUnitSimplification,[status(thm)],[c_468,c_343,c_522]) ).
tff(c_46,plain,
( p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_300]) ).
tff(c_539,plain,
( p_5
| p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_523,c_469,c_46]) ).
tff(c_540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_468,c_343,c_539]) ).
tff(c_542,plain,
~ p_4,
inference(splitRight,[status(thm)],[c_467]) ).
tff(c_541,plain,
p_3,
inference(splitRight,[status(thm)],[c_467]) ).
tff(c_42,plain,
( p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_607,plain,
( p_5
| p_4
| p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_541,c_42]) ).
tff(c_608,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_468,c_542,c_343,c_607]) ).
tff(c_609,plain,
( ~ p_4
| ~ p_3
| ~ p_2 ),
inference(splitRight,[status(thm)],[c_341]) ).
tff(c_612,plain,
~ p_2,
inference(splitLeft,[status(thm)],[c_609]) ).
tff(c_610,plain,
p_5,
inference(splitRight,[status(thm)],[c_341]) ).
tff(c_36,plain,
( ~ p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_660,plain,
( p_4
| p_3
| p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_610,c_36]) ).
tff(c_661,plain,
( p_4
| p_3 ),
inference(negUnitSimplification,[status(thm)],[c_612,c_660]) ).
tff(c_662,plain,
p_3,
inference(splitLeft,[status(thm)],[c_661]) ).
tff(c_44,plain,
( ~ p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_664,plain,
( p_4
| p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_662,c_610,c_44]) ).
tff(c_665,plain,
p_4,
inference(negUnitSimplification,[status(thm)],[c_612,c_664]) ).
tff(c_48,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_313]) ).
tff(c_678,plain,
p_2,
inference(demodulation,[status(thm),theory(equality)],[c_342,c_662,c_665,c_610,c_48]) ).
tff(c_679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_612,c_678]) ).
tff(c_681,plain,
~ p_3,
inference(splitRight,[status(thm)],[c_661]) ).
tff(c_680,plain,
p_4,
inference(splitRight,[status(thm)],[c_661]) ).
tff(c_40,plain,
( ~ p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_692,plain,
( p_3
| p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_680,c_610,c_40]) ).
tff(c_693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_612,c_681,c_692]) ).
tff(c_695,plain,
p_2,
inference(splitRight,[status(thm)],[c_609]) ).
tff(c_60,plain,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_697,plain,
( p_4
| ~ p_3
| ~ p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_610,c_60]) ).
tff(c_698,plain,
~ p_2,
inference(splitLeft,[status(thm)],[c_697]) ).
tff(c_700,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_695,c_698]) ).
tff(c_701,plain,
( ~ p_3
| p_4 ),
inference(splitRight,[status(thm)],[c_697]) ).
tff(c_704,plain,
~ p_3,
inference(splitLeft,[status(thm)],[c_701]) ).
tff(c_52,plain,
( ~ p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_706,plain,
( p_4
| p_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_695,c_610,c_52]) ).
tff(c_707,plain,
p_4,
inference(negUnitSimplification,[status(thm)],[c_704,c_706]) ).
tff(c_56,plain,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_751,plain,
p_3,
inference(demodulation,[status(thm),theory(equality)],[c_342,c_695,c_707,c_610,c_56]) ).
tff(c_752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_704,c_751]) ).
tff(c_753,plain,
p_4,
inference(splitRight,[status(thm)],[c_701]) ).
tff(c_754,plain,
p_3,
inference(splitRight,[status(thm)],[c_701]) ).
tff(c_694,plain,
( ~ p_3
| ~ p_4 ),
inference(splitRight,[status(thm)],[c_609]) ).
tff(c_756,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_753,c_754,c_694]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN001-1.005 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 16:59:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.62/1.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.87/1.85
% 3.87/1.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.06/1.90
% 4.06/1.90 Inference rules
% 4.06/1.90 ----------------------
% 4.06/1.90 #Ref : 0
% 4.06/1.90 #Sup : 0
% 4.06/1.90 #Fact : 0
% 4.06/1.90 #Define : 0
% 4.06/1.90 #Split : 17
% 4.06/1.90 #Chain : 0
% 4.06/1.90 #Close : 0
% 4.06/1.90
% 4.06/1.90 Ordering : KBO
% 4.06/1.90
% 4.06/1.90 Simplification rules
% 4.06/1.90 ----------------------
% 4.06/1.90 #Subsume : 155
% 4.06/1.90 #Demod : 601
% 4.06/1.90 #Tautology : 71
% 4.06/1.90 #SimpNegUnit : 198
% 4.06/1.90 #BackRed : 0
% 4.06/1.90
% 4.06/1.90 #Partial instantiations: 0
% 4.06/1.90 #Strategies tried : 1
% 4.06/1.90
% 4.06/1.90 Timing (in seconds)
% 4.06/1.90 ----------------------
% 4.06/1.90 Preprocessing : 0.46
% 4.06/1.90 Parsing : 0.24
% 4.06/1.90 CNF conversion : 0.02
% 4.06/1.90 Main loop : 0.35
% 4.06/1.90 Inferencing : 0.05
% 4.06/1.90 Reduction : 0.13
% 4.06/1.90 Demodulation : 0.08
% 4.06/1.90 BG Simplification : 0.03
% 4.06/1.90 Subsumption : 0.10
% 4.06/1.90 Abstraction : 0.02
% 4.06/1.90 MUC search : 0.00
% 4.06/1.90 Cooper : 0.00
% 4.06/1.90 Total : 0.88
% 4.06/1.90 Index Insertion : 0.00
% 4.06/1.90 Index Deletion : 0.00
% 4.06/1.90 Index Matching : 0.00
% 4.06/1.90 BG Taut test : 0.00
%------------------------------------------------------------------------------