%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN051+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/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 : n006.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 10:02:17 PM UTC 2025
% Result : Theorem 2.41s 1.57s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 4 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 4 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_f > #nlpp > p > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p,type,
p: $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(big_f,type,
big_f: $i > $o ).
tff(f_40,negated_conjecture,
~ ? [X] :
( p
<=> big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel21) ).
tff(f_31,axiom,
? [X] :
( p
=> big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel21_1) ).
tff(f_35,axiom,
? [X] :
( big_f(X)
=> p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel21_2) ).
tff(c_12,plain,
! [X_1] :
( p
| big_f(X_1) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_13,plain,
p,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_6,plain,
! [X_1] :
( ~ big_f(X_1)
| ~ p ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_15,plain,
! [X_1] : ~ big_f(X_1),
inference(demodulation,[status(thm),theory(equality)],[c_13,c_6]) ).
tff(c_2,plain,
( big_f('#skF_1')
| ~ p ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_19,plain,
big_f('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_13,c_2]) ).
tff(c_20,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15,c_19]) ).
tff(c_22,plain,
~ p,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_21,plain,
! [X_1] : big_f(X_1),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_4,plain,
( p
| ~ big_f('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_25,plain,
p,
inference(demodulation,[status(thm),theory(equality)],[c_21,c_4]) ).
tff(c_26,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SYN051+1 : TPTP v9.0.0. Released v2.0.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Apr 9 06:53:22 EDT 2025
% 0.14/0.36 % CPUTime :
% 2.41/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.41/1.58
% 2.41/1.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------