%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN951+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 : n004.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 10:08:30 PM UTC 2025
% Result : Theorem 2.48s 1.58s
% Output : CNFRefutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 11 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 10 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > #nlpp > q > b > a > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(q,type,
q: $o ).
tff(p,type,
p: $i > $o ).
tff(b,type,
b: $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(a,type,
a: $o ).
tff(f_41,negated_conjecture,
~ ( ? [X] : p(X)
=> ( ? [X] : p(X)
& ( a
=> ( ( b
| ~ b )
& ( q
=> q ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tff(c_12,plain,
! [X_1] :
( ~ b
| q
| ~ p(X_1) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_17,plain,
~ b,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_6,plain,
! [X_1] :
( b
| ~ q
| ~ p(X_1) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_18,plain,
! [X_1] :
( ~ q
| ~ p(X_1) ),
inference(negUnitSimplification,[status(thm)],[c_17,c_6]) ).
tff(c_19,plain,
~ q,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_10,plain,
! [X_1] :
( b
| q
| ~ p(X_1) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_20,plain,
! [X_1] : ~ p(X_1),
inference(negUnitSimplification,[status(thm)],[c_19,c_17,c_10]) ).
tff(c_2,plain,
p('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_22,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_2]) ).
tff(c_23,plain,
! [X_1] : ~ p(X_1),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_32,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23,c_2]) ).
tff(c_33,plain,
! [X_1] :
( ~ p(X_1)
| q ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_35,plain,
! [X_1] : ~ p(X_1),
inference(splitLeft,[status(thm)],[c_33]) ).
tff(c_37,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35,c_2]) ).
tff(c_38,plain,
q,
inference(splitRight,[status(thm)],[c_33]) ).
tff(c_34,plain,
b,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_8,plain,
! [X_1] :
( ~ b
| ~ q
| ~ p(X_1) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_42,plain,
! [X_1] : ~ p(X_1),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_34,c_8]) ).
tff(c_44,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN951+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.13 % 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
% 0.13/0.32 % Computer : n004.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Wed Apr 9 08:42:22 EDT 2025
% 0.13/0.32 % CPUTime :
% 2.48/1.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.48/1.58
% 2.48/1.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------