%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN943+1 : TPTP v9.0.0. Released v3.1.0.
% 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 : n024.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 10:08:29 PM UTC 2025
% Result : Theorem 2.72s 1.86s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 36 ( 12 ~; 14 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 11 ( 6 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ s > p > g > e > c > #nlpp > f > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(s,type,
s: ( $i * $i ) > $o ).
tff(f,type,
f: $i > $i ).
tff(p,type,
p: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(c,type,
c: $i > $o ).
tff(e,type,
e: $i > $o ).
tff(g,type,
g: $i > $o ).
tff(f_54,negated_conjecture,
~ ! [A] :
? [X,X2,X3,X4,Y] :
( ( p(A)
& e(A)
& ( e(X)
=> ( g(X)
| s(X,f(X)) ) )
& ( e(X2)
=> ( g(X2)
| c(f(X2)) ) )
& ( s(A,Y)
=> p(Y) ) )
=> ( ( p(X3)
& g(X3) )
| ( p(X4)
& c(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tff(c_2,plain,
p('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_15,plain,
! [X3_11] :
( ~ g(X3_11)
| ~ p(X3_11) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_19,plain,
~ g('#skF_1'),
inference(resolution,[status(thm)],[c_2,c_15]) ).
tff(c_4,plain,
e('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_8,plain,
! [X2_7] :
( c(f(X2_7))
| g(X2_7)
| ~ e(X2_7) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_27,plain,
! [X_15] :
( s(X_15,f(X_15))
| g(X_15)
| ~ e(X_15) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_10,plain,
! [Y_10] :
( p(Y_10)
| ~ s('#skF_1',Y_10) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_31,plain,
( p(f('#skF_1'))
| g('#skF_1')
| ~ e('#skF_1') ),
inference(resolution,[status(thm)],[c_27,c_10]) ).
tff(c_34,plain,
( p(f('#skF_1'))
| g('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31]) ).
tff(c_35,plain,
p(f('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_19,c_34]) ).
tff(c_14,plain,
! [X4_9] :
( ~ c(X4_9)
| ~ p(X4_9) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_42,plain,
~ c(f('#skF_1')),
inference(resolution,[status(thm)],[c_35,c_14]) ).
tff(c_46,plain,
( g('#skF_1')
| ~ e('#skF_1') ),
inference(resolution,[status(thm)],[c_8,c_42]) ).
tff(c_49,plain,
g('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46]) ).
tff(c_51,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN943+1 : TPTP v9.0.0. Released v3.1.0.
% 0.02/0.10 % 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
% 0.09/0.30 % Computer : n024.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Apr 9 08:42:21 EDT 2025
% 0.09/0.30 % CPUTime :
% 2.72/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.72/1.86
% 2.72/1.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------