%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN054+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 : n026.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 10:02:18 PM UTC 2025
% Result : Theorem 2.50s 1.58s
% Output : CNFRefutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 9 |; 2 &)
% ( 0 <=>; 3 =>; 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 : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 9 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_s > big_r > big_q > big_p > #nlpp > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(big_s,type,
big_s: $i > $o ).
tff(big_q,type,
big_q: $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_r,type,
big_r: $i > $o ).
tff(f_49,axiom,
! [X] :
( ( big_q(X)
| big_r(X) )
=> big_s(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_4) ).
tff(f_31,axiom,
~ ? [X] :
( big_s(X)
& big_q(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_1) ).
tff(f_37,axiom,
! [X] :
( big_p(X)
=> ( big_q(X)
| big_r(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_2) ).
tff(f_54,negated_conjecture,
~ ? [X] :
( big_p(X)
& big_r(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24) ).
tff(f_43,axiom,
( ~ ? [X] : big_p(X)
=> ? [Y] : big_q(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_3) ).
tff(c_15,plain,
! [X_7] :
( ~ big_q(X_7)
| big_s(X_7) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_2,plain,
! [X_1] :
( ~ big_q(X_1)
| ~ big_s(X_1) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_19,plain,
! [X_7] : ~ big_q(X_7),
inference(resolution,[status(thm)],[c_15,c_2]) ).
tff(c_4,plain,
! [X_2] :
( big_r(X_2)
| big_q(X_2)
| ~ big_p(X_2) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_24,plain,
! [X_10] :
( big_r(X_10)
| ~ big_p(X_10) ),
inference(negUnitSimplification,[status(thm)],[c_19,c_4]) ).
tff(c_12,plain,
! [X_4] :
( ~ big_r(X_4)
| ~ big_p(X_4) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_28,plain,
! [X_10] : ~ big_p(X_10),
inference(resolution,[status(thm)],[c_24,c_12]) ).
tff(c_6,plain,
( big_q('#skF_2')
| big_p('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_21,plain,
big_p('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_19,c_6]) ).
tff(c_30,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN054+1 : TPTP v9.0.0. Released v2.0.0.
% 0.11/0.13 % 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 : n026.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 06:54:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.50/1.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.50/1.58
% 2.50/1.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------