TSTP Solution File: SYN069+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n006.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 11:09:29 EDT 2023
% Result : Theorem 3.01s 1.79s
% Output : CNFRefutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 32 unt; 9 typ; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 105 ( 56 ~; 35 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 8 >; 2 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 43 (; 39 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_j > big_h > big_l > big_k > big_g > big_f > #nlpp > #skF_1 > #skF_2 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(big_h,type,
big_h: ( $i * $i ) > $o ).
tff(big_g,type,
big_g: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(big_f,type,
big_f: $i > $o ).
tff(big_k,type,
big_k: $i > $o ).
tff(big_l,type,
big_l: $i > $o ).
tff(big_j,type,
big_j: ( $i * $i ) > $o ).
tff(f_61,axiom,
? [X] :
( big_f(X)
& ! [Y] :
( big_h(X,Y)
=> big_l(Y) )
& ! [Y1] :
( ( big_g(Y1)
& big_h(X,Y1) )
=> big_j(X,Y1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_3) ).
tff(f_42,axiom,
! [X] :
( ( big_f(X)
& ! [Y] :
( ( big_g(Y)
& big_h(X,Y) )
=> big_j(X,Y) ) )
=> ! [Y1] :
( big_g(Y1)
& big_h(X,Y1)
& big_k(Y1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_1) ).
tff(f_70,negated_conjecture,
~ ? [X] :
( big_f(X)
& ~ ? [Y] :
( big_g(Y)
& big_h(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45) ).
tff(f_47,axiom,
~ ? [Y] :
( big_l(Y)
& big_k(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_2) ).
tff(c_26,plain,
big_f('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_16,plain,
! [X_1,Y1_4] :
( big_h(X_1,'#skF_1'(X_1))
| big_k(Y1_4)
| ~ big_f(X_1) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_190,plain,
! [X_1] :
( big_h(X_1,'#skF_1'(X_1))
| ~ big_f(X_1) ),
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_136,plain,
! [X_1] :
( big_h(X_1,'#skF_1'(X_1))
| ~ big_f(X_1) ),
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_93,plain,
! [X_1] :
( big_h(X_1,'#skF_1'(X_1))
| ~ big_f(X_1) ),
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_4,plain,
! [X_1,Y1_4] :
( big_h(X_1,'#skF_1'(X_1))
| big_g(Y1_4)
| ~ big_f(X_1) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_50,plain,
! [X_1] :
( big_h(X_1,'#skF_1'(X_1))
| ~ big_f(X_1) ),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_6,plain,
! [X_1,Y1_4] :
( big_g('#skF_1'(X_1))
| big_g(Y1_4)
| ~ big_f(X_1) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_42,plain,
! [X_1] :
( big_g('#skF_1'(X_1))
| ~ big_f(X_1) ),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_59,plain,
! [Y1_19] :
( big_j('#skF_2',Y1_19)
| ~ big_h('#skF_2',Y1_19)
| ~ big_g(Y1_19) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_2,plain,
! [X_1,Y1_4] :
( ~ big_j(X_1,'#skF_1'(X_1))
| big_g(Y1_4)
| ~ big_f(X_1) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_48,plain,
! [X_1] :
( ~ big_j(X_1,'#skF_1'(X_1))
| ~ big_f(X_1) ),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_63,plain,
( ~ big_f('#skF_2')
| ~ big_h('#skF_2','#skF_1'('#skF_2'))
| ~ big_g('#skF_1'('#skF_2')) ),
inference(resolution,[status(thm)],[c_59,c_48]) ).
tff(c_66,plain,
( ~ big_h('#skF_2','#skF_1'('#skF_2'))
| ~ big_g('#skF_1'('#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_63]) ).
tff(c_71,plain,
~ big_g('#skF_1'('#skF_2')),
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_74,plain,
~ big_f('#skF_2'),
inference(resolution,[status(thm)],[c_42,c_71]) ).
tff(c_78,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_74]) ).
tff(c_79,plain,
~ big_h('#skF_2','#skF_1'('#skF_2')),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_83,plain,
~ big_f('#skF_2'),
inference(resolution,[status(thm)],[c_50,c_79]) ).
tff(c_87,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_83]) ).
tff(c_88,plain,
! [Y1_4] : big_g(Y1_4),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_22,plain,
! [Y1_8] :
( big_j('#skF_2',Y1_8)
| ~ big_h('#skF_2',Y1_8)
| ~ big_g(Y1_8) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_108,plain,
! [Y1_22] :
( big_j('#skF_2',Y1_22)
| ~ big_h('#skF_2',Y1_22) ),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_22]) ).
tff(c_112,plain,
( ~ big_f('#skF_2')
| ~ big_h('#skF_2','#skF_1'('#skF_2')) ),
inference(resolution,[status(thm)],[c_108,c_48]) ).
tff(c_115,plain,
~ big_h('#skF_2','#skF_1'('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_112]) ).
tff(c_118,plain,
~ big_f('#skF_2'),
inference(resolution,[status(thm)],[c_93,c_115]) ).
tff(c_122,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_118]) ).
tff(c_123,plain,
! [Y1_4] : big_k(Y1_4),
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_34,plain,
! [X_15] :
( big_h(X_15,'#skF_3'(X_15))
| ~ big_f(X_15) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_24,plain,
! [Y_9] :
( big_l(Y_9)
| ~ big_h('#skF_2',Y_9) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_38,plain,
( big_l('#skF_3'('#skF_2'))
| ~ big_f('#skF_2') ),
inference(resolution,[status(thm)],[c_34,c_24]) ).
tff(c_41,plain,
big_l('#skF_3'('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_38]) ).
tff(c_20,plain,
! [Y_5] :
( ~ big_k(Y_5)
| ~ big_l(Y_5) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_46,plain,
~ big_k('#skF_3'('#skF_2')),
inference(resolution,[status(thm)],[c_41,c_20]) ).
tff(c_128,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123,c_46]) ).
tff(c_129,plain,
! [Y1_4] : big_g(Y1_4),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_151,plain,
! [Y1_26] :
( big_j('#skF_2',Y1_26)
| ~ big_h('#skF_2',Y1_26) ),
inference(demodulation,[status(thm),theory(equality)],[c_129,c_22]) ).
tff(c_14,plain,
! [X_1,Y1_4] :
( ~ big_j(X_1,'#skF_1'(X_1))
| big_k(Y1_4)
| ~ big_f(X_1) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_133,plain,
! [X_1] :
( ~ big_j(X_1,'#skF_1'(X_1))
| ~ big_f(X_1) ),
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_155,plain,
( ~ big_f('#skF_2')
| ~ big_h('#skF_2','#skF_1'('#skF_2')) ),
inference(resolution,[status(thm)],[c_151,c_133]) ).
tff(c_158,plain,
~ big_h('#skF_2','#skF_1'('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_155]) ).
tff(c_161,plain,
~ big_f('#skF_2'),
inference(resolution,[status(thm)],[c_136,c_158]) ).
tff(c_165,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_161]) ).
tff(c_166,plain,
! [Y1_4] : big_k(Y1_4),
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_171,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_46]) ).
tff(c_172,plain,
! [Y1_4] : big_k(Y1_4),
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_177,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_172,c_46]) ).
tff(c_178,plain,
! [Y1_4] : big_g(Y1_4),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_205,plain,
! [Y1_30] :
( big_j('#skF_2',Y1_30)
| ~ big_h('#skF_2',Y1_30) ),
inference(demodulation,[status(thm),theory(equality)],[c_178,c_22]) ).
tff(c_186,plain,
! [X_1] :
( ~ big_j(X_1,'#skF_1'(X_1))
| ~ big_f(X_1) ),
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_209,plain,
( ~ big_f('#skF_2')
| ~ big_h('#skF_2','#skF_1'('#skF_2')) ),
inference(resolution,[status(thm)],[c_205,c_186]) ).
tff(c_212,plain,
~ big_h('#skF_2','#skF_1'('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_209]) ).
tff(c_215,plain,
~ big_f('#skF_2'),
inference(resolution,[status(thm)],[c_190,c_212]) ).
tff(c_219,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_215]) ).
tff(c_220,plain,
! [Y1_4] : big_k(Y1_4),
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_185,plain,
~ big_k('#skF_3'('#skF_2')),
inference(resolution,[status(thm)],[c_41,c_20]) ).
tff(c_225,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_220,c_185]) ).
tff(c_226,plain,
! [Y1_4] : big_k(Y1_4),
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_232,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_226,c_185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.35 % Computer : n006.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu Aug 3 17:10:59 EDT 2023
% 0.16/0.35 % CPUTime :
% 3.01/1.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.01/1.80
% 3.01/1.80 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.15/1.84
% 3.15/1.84 Inference rules
% 3.15/1.84 ----------------------
% 3.15/1.84 #Ref : 0
% 3.15/1.84 #Sup : 20
% 3.15/1.84 #Fact : 0
% 3.15/1.84 #Define : 0
% 3.15/1.84 #Split : 9
% 3.15/1.84 #Chain : 0
% 3.15/1.84 #Close : 0
% 3.15/1.84
% 3.15/1.84 Ordering : KBO
% 3.15/1.84
% 3.15/1.84 Simplification rules
% 3.15/1.84 ----------------------
% 3.15/1.84 #Subsume : 3
% 3.15/1.84 #Demod : 38
% 3.15/1.84 #Tautology : 11
% 3.15/1.84 #SimpNegUnit : 0
% 3.15/1.84 #BackRed : 10
% 3.15/1.84
% 3.15/1.84 #Partial instantiations: 0
% 3.15/1.84 #Strategies tried : 1
% 3.15/1.84
% 3.15/1.84 Timing (in seconds)
% 3.15/1.84 ----------------------
% 3.15/1.84 Preprocessing : 0.43
% 3.15/1.84 Parsing : 0.24
% 3.15/1.84 CNF conversion : 0.03
% 3.15/1.84 Main loop : 0.26
% 3.15/1.84 Inferencing : 0.11
% 3.15/1.84 Reduction : 0.06
% 3.15/1.84 Demodulation : 0.04
% 3.15/1.84 BG Simplification : 0.02
% 3.15/1.84 Subsumption : 0.05
% 3.15/1.84 Abstraction : 0.01
% 3.15/1.84 MUC search : 0.00
% 3.15/1.84 Cooper : 0.00
% 3.15/1.84 Total : 0.76
% 3.15/1.84 Index Insertion : 0.00
% 3.15/1.84 Index Deletion : 0.00
% 3.15/1.84 Index Matching : 0.00
% 3.15/1.84 BG Taut test : 0.00
%------------------------------------------------------------------------------