%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN364+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 : n016.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 10:03:21 PM UTC 2025
% Result : Theorem 2.44s 1.59s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 23 ( 10 ~; 6 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 21 ( 18 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_p > big_q > big_m > f > #nlpp > g > #skF_2 > #skF_1 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(big_p,type,
big_p: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(big_q,type,
big_q: $i > $o ).
tff(g,type,
g: $i > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(f,type,
f: ( $i * $i ) > $i ).
tff(big_m,type,
big_m: $i > $o ).
tff(f_52,negated_conjecture,
~ ( ( ! [X] :
( ? [Y] : big_p(X,Y)
=> ! [Z] : big_p(Z,Z) )
& ! [U] :
? [V] :
( big_p(U,V)
| ( big_m(U)
& big_q(f(U,V)) ) )
& ! [W] :
( big_q(W)
=> ~ big_m(g(W)) ) )
=> ! [U] :
? [V] :
( big_p(g(U),V)
& big_p(U,U) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2115) ).
tff(c_6,plain,
! [Z_5,X_1,Y_4] :
( big_p(Z_5,Z_5)
| ~ big_p(X_1,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_13,plain,
! [X_1,Y_4] : ~ big_p(X_1,Y_4),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_10,plain,
! [U_6] :
( big_m(U_6)
| big_p(U_6,'#skF_2'(U_6)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_14,plain,
! [U_6] : big_m(U_6),
inference(negUnitSimplification,[status(thm)],[c_13,c_10]) ).
tff(c_4,plain,
! [W_8] :
( ~ big_m(g(W_8))
| ~ big_q(W_8) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_17,plain,
! [W_8] : ~ big_q(W_8),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_4]) ).
tff(c_8,plain,
! [U_6] :
( big_q(f(U_6,'#skF_1'(U_6)))
| big_p(U_6,'#skF_2'(U_6)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_20,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13,c_17,c_8]) ).
tff(c_21,plain,
! [Z_5] : big_p(Z_5,Z_5),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_2,plain,
! [V_10] :
( ~ big_p('#skF_3','#skF_3')
| ~ big_p(g('#skF_3'),V_10) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_25,plain,
! [V_18] : ~ big_p(g('#skF_3'),V_18),
inference(demodulation,[status(thm),theory(equality)],[c_21,c_2]) ).
tff(c_34,plain,
$false,
inference(resolution,[status(thm)],[c_21,c_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN364+1 : TPTP v9.0.0. Released v2.0.0.
% 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
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Apr 9 07:20:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 2.44/1.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/1.59
% 2.44/1.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------