TSTP Solution File: SEU132+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU132+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n021.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 10:57:42 EDT 2023
% Result : Theorem 14.31s 5.11s
% Output : CNFRefutation 14.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 37 ( 5 unt; 13 typ; 0 def)
% Number of atoms : 55 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 21 ~; 25 |; 1 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 7 >; 8 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 55 (; 55 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > empty > set_difference > #nlpp > empty_set > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_8 > #skF_4 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(set_difference,type,
set_difference: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_38,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
tff(f_48,axiom,
! [A,B,C] :
( ( C = set_difference(A,B) )
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& ~ in(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
tff(f_62,negated_conjecture,
~ ! [A,B,C] :
( subset(A,B)
=> subset(set_difference(A,C),set_difference(B,C)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_xboole_1) ).
tff(c_8,plain,
! [A_3,B_4] :
( in('#skF_1'(A_3,B_4),A_3)
| subset(A_3,B_4) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_144,plain,
! [D_44,A_45,B_46] :
( in(D_44,A_45)
| ~ in(D_44,set_difference(A_45,B_46)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_958,plain,
! [A_140,B_141,B_142] :
( in('#skF_1'(set_difference(A_140,B_141),B_142),A_140)
| subset(set_difference(A_140,B_141),B_142) ),
inference(resolution,[status(thm)],[c_8,c_144]) ).
tff(c_6,plain,
! [A_3,B_4] :
( ~ in('#skF_1'(A_3,B_4),B_4)
| subset(A_3,B_4) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_1012,plain,
! [A_140,B_141] : subset(set_difference(A_140,B_141),A_140),
inference(resolution,[status(thm)],[c_958,c_6]) ).
tff(c_42,plain,
subset('#skF_6','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_175,plain,
! [C_55,B_56,A_57] :
( in(C_55,B_56)
| ~ in(C_55,A_57)
| ~ subset(A_57,B_56) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_289,plain,
! [A_73,B_74,B_75] :
( in('#skF_1'(A_73,B_74),B_75)
| ~ subset(A_73,B_75)
| subset(A_73,B_74) ),
inference(resolution,[status(thm)],[c_8,c_175]) ).
tff(c_4,plain,
! [C_7,B_4,A_3] :
( in(C_7,B_4)
| ~ in(C_7,A_3)
| ~ subset(A_3,B_4) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_24225,plain,
! [A_698,B_699,B_700,B_701] :
( in('#skF_1'(A_698,B_699),B_700)
| ~ subset(B_701,B_700)
| ~ subset(A_698,B_701)
| subset(A_698,B_699) ),
inference(resolution,[status(thm)],[c_289,c_4]) ).
tff(c_24280,plain,
! [A_702,B_703] :
( in('#skF_1'(A_702,B_703),'#skF_7')
| ~ subset(A_702,'#skF_6')
| subset(A_702,B_703) ),
inference(resolution,[status(thm)],[c_42,c_24225]) ).
tff(c_181,plain,
! [D_59,A_60,B_61] :
( in(D_59,set_difference(A_60,B_61))
| in(D_59,B_61)
| ~ in(D_59,A_60) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_206,plain,
! [A_3,A_60,B_61] :
( subset(A_3,set_difference(A_60,B_61))
| in('#skF_1'(A_3,set_difference(A_60,B_61)),B_61)
| ~ in('#skF_1'(A_3,set_difference(A_60,B_61)),A_60) ),
inference(resolution,[status(thm)],[c_181,c_6]) ).
tff(c_25884,plain,
! [A_721,B_722] :
( in('#skF_1'(A_721,set_difference('#skF_7',B_722)),B_722)
| ~ subset(A_721,'#skF_6')
| subset(A_721,set_difference('#skF_7',B_722)) ),
inference(resolution,[status(thm)],[c_24280,c_206]) ).
tff(c_127,plain,
! [A_42,B_43] :
( in('#skF_1'(A_42,B_43),A_42)
| subset(A_42,B_43) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_12,plain,
! [D_13,B_9,A_8] :
( ~ in(D_13,B_9)
| ~ in(D_13,set_difference(A_8,B_9)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_141,plain,
! [A_8,B_9,B_43] :
( ~ in('#skF_1'(set_difference(A_8,B_9),B_43),B_9)
| subset(set_difference(A_8,B_9),B_43) ),
inference(resolution,[status(thm)],[c_127,c_12]) ).
tff(c_26266,plain,
! [A_730,B_731] :
( ~ subset(set_difference(A_730,B_731),'#skF_6')
| subset(set_difference(A_730,B_731),set_difference('#skF_7',B_731)) ),
inference(resolution,[status(thm)],[c_25884,c_141]) ).
tff(c_40,plain,
~ subset(set_difference('#skF_6','#skF_8'),set_difference('#skF_7','#skF_8')),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_26317,plain,
~ subset(set_difference('#skF_6','#skF_8'),'#skF_6'),
inference(resolution,[status(thm)],[c_26266,c_40]) ).
tff(c_26447,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1012,c_26317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU132+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % 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
% 0.13/0.36 % Computer : n021.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 11:29:21 EDT 2023
% 0.13/0.36 % CPUTime :
% 14.31/5.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.31/5.11
% 14.31/5.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.31/5.14
% 14.31/5.14 Inference rules
% 14.31/5.14 ----------------------
% 14.31/5.14 #Ref : 0
% 14.31/5.14 #Sup : 6653
% 14.31/5.14 #Fact : 0
% 14.31/5.14 #Define : 0
% 14.31/5.14 #Split : 8
% 14.31/5.14 #Chain : 0
% 14.31/5.14 #Close : 0
% 14.31/5.14
% 14.31/5.14 Ordering : KBO
% 14.31/5.14
% 14.31/5.14 Simplification rules
% 14.31/5.14 ----------------------
% 14.31/5.14 #Subsume : 3727
% 14.31/5.14 #Demod : 3490
% 14.31/5.14 #Tautology : 1022
% 14.31/5.14 #SimpNegUnit : 76
% 14.31/5.14 #BackRed : 17
% 14.31/5.14
% 14.31/5.14 #Partial instantiations: 0
% 14.31/5.14 #Strategies tried : 1
% 14.31/5.14
% 14.31/5.14 Timing (in seconds)
% 14.31/5.14 ----------------------
% 14.31/5.14 Preprocessing : 0.49
% 14.31/5.14 Parsing : 0.25
% 14.31/5.14 CNF conversion : 0.04
% 14.31/5.14 Main loop : 3.59
% 14.31/5.14 Inferencing : 1.04
% 14.31/5.14 Reduction : 1.00
% 14.31/5.14 Demodulation : 0.71
% 14.31/5.14 BG Simplification : 0.08
% 14.31/5.15 Subsumption : 1.24
% 14.31/5.15 Abstraction : 0.11
% 14.31/5.15 MUC search : 0.00
% 14.31/5.15 Cooper : 0.00
% 14.31/5.15 Total : 4.13
% 14.31/5.15 Index Insertion : 0.00
% 14.31/5.15 Index Deletion : 0.00
% 14.31/5.15 Index Matching : 0.00
% 14.31/5.15 BG Taut test : 0.00
%------------------------------------------------------------------------------