%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN055+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 : n010.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 10:02:19 PM UTC 2025
% Result : Theorem 2.50s 1.57s
% Output : CNFRefutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 3 |; 2 &)
% ( 0 <=>; 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 : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 5 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_r > big_q > big_p > big_g > big_f > #nlpp > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(big_q,type,
big_q: $i > $o ).
tff(big_g,type,
big_g: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(big_p,type,
big_p: $i > $o ).
tff(big_f,type,
big_f: $i > $o ).
tff(big_r,type,
big_r: $i > $o ).
tff(f_28,axiom,
? [X] : big_p(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel25_1) ).
tff(f_41,axiom,
! [X] :
( big_p(X)
=> ( big_g(X)
& big_f(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel25_3) ).
tff(f_35,axiom,
! [X] :
( big_f(X)
=> ( ~ big_g(X)
& big_r(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel25_2) ).
tff(c_2,plain,
big_p('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_24,plain,
! [X_8] :
( big_f(X_8)
| ~ big_p(X_8) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_28,plain,
big_f('#skF_1'),
inference(resolution,[status(thm)],[c_2,c_24]) ).
tff(c_19,plain,
! [X_7] :
( big_g(X_7)
| ~ big_p(X_7) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_23,plain,
big_g('#skF_1'),
inference(resolution,[status(thm)],[c_2,c_19]) ).
tff(c_29,plain,
! [X_9] :
( ~ big_g(X_9)
| ~ big_f(X_9) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_32,plain,
~ big_f('#skF_1'),
inference(resolution,[status(thm)],[c_23,c_29]) ).
tff(c_36,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN055+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 : n010.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 06:55:03 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.50/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/1.58
% 2.66/1.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------