%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN373+1 : TPTP v9.0.0. Released v2.0.0.
% 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 : n011.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 10:03:23 PM UTC 2025
% Result : Theorem 2.40s 1.59s
% Output : CNFRefutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 10 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 13 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_q > big_p > #nlpp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(big_q,type,
big_q: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(big_p,type,
big_p: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_36,negated_conjecture,
~ ( ? [X] :
( big_p(X)
=> big_q(X) )
<=> ( ! [X] : big_p(X)
=> ? [X] : big_q(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2124) ).
tff(c_8,plain,
! [X_2,X_3] :
( ~ big_q(X_2)
| ~ big_q(X_3) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_58,plain,
! [X_3] : ~ big_q(X_3),
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_10,plain,
! [X_1,X_3] :
( big_p(X_1)
| ~ big_q(X_3) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_19,plain,
! [X_3] : ~ big_q(X_3),
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_4,plain,
! [X_1,X_3] :
( big_p(X_1)
| big_p(X_3) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_21,plain,
! [X_3] : big_p(X_3),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_18,plain,
( ~ big_p('#skF_2')
| big_q('#skF_1')
| big_q('#skF_4')
| ~ big_p('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_36,plain,
( big_q('#skF_1')
| big_q('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_21,c_21,c_18]) ).
tff(c_37,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19,c_19,c_36]) ).
tff(c_38,plain,
! [X_1] : big_p(X_1),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_53,plain,
( big_q('#skF_1')
| big_q('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_38,c_18]) ).
tff(c_54,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19,c_19,c_53]) ).
tff(c_55,plain,
! [X_1] : big_p(X_1),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_73,plain,
( big_q('#skF_1')
| big_q('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_55,c_55,c_18]) ).
tff(c_74,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_58,c_73]) ).
tff(c_75,plain,
! [X_2] : ~ big_q(X_2),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_90,plain,
( big_q('#skF_1')
| big_q('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_55,c_55,c_18]) ).
tff(c_91,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75,c_75,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN373+1 : TPTP v9.0.0. Released v2.0.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n011.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 : Wed Apr 9 07:21:18 EDT 2025
% 0.13/0.35 % CPUTime :
% 2.40/1.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.40/1.60
% 2.40/1.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------