%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SET947+1 : TPTP v9.0.0. Released v3.2.0.
% 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 : n013.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 : Wed Apr 9 08:39:39 PM UTC 2025
% Result : Theorem 4.66s 2.81s
% Output : CNFRefutation 4.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 7 ~; 6 |; 0 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > empty > #nlpp > union > powerset > #skF_3 > #skF_5 > #skF_6 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(union,type,
union: $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $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(empty,type,
empty: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_45,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
tff(f_49,axiom,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).
tff(f_38,axiom,
! [A,B] :
( ( B = powerset(A) )
<=> ! [C] :
( in(C,B)
<=> subset(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
tff(f_59,negated_conjecture,
~ ! [A] : subset(A,powerset(union(A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_zfmisc_1) ).
tff(c_20,plain,
! [A_8,B_9] :
( in('#skF_3'(A_8,B_9),A_8)
| subset(A_8,B_9) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_22,plain,
! [A_13,B_14] :
( subset(A_13,union(B_14))
| ~ in(A_13,B_14) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_6,plain,
! [C_7,A_3] :
( in(C_7,powerset(A_3))
| ~ subset(C_7,A_3) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_49,plain,
! [A_28,B_29] :
( ~ in('#skF_3'(A_28,B_29),B_29)
| subset(A_28,B_29) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_150,plain,
! [A_53,A_54] :
( subset(A_53,powerset(A_54))
| ~ subset('#skF_3'(A_53,powerset(A_54)),A_54) ),
inference(resolution,[status(thm)],[c_6,c_49]) ).
tff(c_526,plain,
! [A_105,B_106] :
( subset(A_105,powerset(union(B_106)))
| ~ in('#skF_3'(A_105,powerset(union(B_106))),B_106) ),
inference(resolution,[status(thm)],[c_22,c_150]) ).
tff(c_550,plain,
! [A_8] : subset(A_8,powerset(union(A_8))),
inference(resolution,[status(thm)],[c_20,c_526]) ).
tff(c_30,plain,
~ subset('#skF_6',powerset(union('#skF_6'))),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_570,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_550,c_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET947+1 : TPTP v9.0.0. Released v3.2.0.
% 0.12/0.13 % 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
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 21:52:02 EDT 2025
% 0.19/0.34 % CPUTime :
% 4.66/2.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.66/2.82
% 4.66/2.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------