%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN726+1 : TPTP v9.0.0. Released v2.5.0.
% 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 : n003.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 10:04:17 PM UTC 2025
% Result : Theorem 3.01s 1.78s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 54 ( 16 ~; 29 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 60 ( 60 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ q > p > #nlpp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(q,type,
q: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(p,type,
p: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_54,negated_conjecture,
~ ( ( ( ! [X,Y,Z] :
( ( p(X,Y)
& p(Y,Z) )
=> p(X,Z) )
& ! [X,Y,Z] :
( ( q(X,Y)
& q(Y,Z) )
=> q(X,Z) )
& ! [X,Y] :
( q(X,Y)
=> q(Y,X) )
& ! [X,Y] :
( p(X,Y)
| q(X,Y) ) )
=> ! [X,Y] : p(X,Y) )
| ! [X,Y] : q(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400) ).
tff(c_6,plain,
! [X_9,Y_10] :
( q(X_9,Y_10)
| p(X_9,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_18,plain,
! [Y_13,X_14] :
( q(Y_13,X_14)
| ~ q(X_14,Y_13) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_21,plain,
! [Y_10,X_9] :
( q(Y_10,X_9)
| p(X_9,Y_10) ),
inference(resolution,[status(thm)],[c_6,c_18]) ).
tff(c_42,plain,
! [X_21,Z_22,Y_23] :
( q(X_21,Z_22)
| ~ q(Y_23,Z_22)
| ~ q(X_21,Y_23) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_60,plain,
! [X_25,Y_26,X_27] :
( q(X_25,Y_26)
| ~ q(X_25,X_27)
| p(X_27,Y_26) ),
inference(resolution,[status(thm)],[c_6,c_42]) ).
tff(c_122,plain,
! [Y_34,Y_35,X_36] :
( q(Y_34,Y_35)
| p(X_36,Y_35)
| p(X_36,Y_34) ),
inference(resolution,[status(thm)],[c_21,c_60]) ).
tff(c_2,plain,
~ q('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_170,plain,
! [X_38] :
( p(X_38,'#skF_4')
| p(X_38,'#skF_3') ),
inference(resolution,[status(thm)],[c_122,c_2]) ).
tff(c_13,plain,
! [X_11,Y_12] :
( q(X_11,Y_12)
| p(X_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_17,plain,
p('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_22,plain,
! [X_15,Z_16,Y_17] :
( p(X_15,Z_16)
| ~ p(Y_17,Z_16)
| ~ p(X_15,Y_17) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_25,plain,
! [X_15] :
( p(X_15,'#skF_4')
| ~ p(X_15,'#skF_3') ),
inference(resolution,[status(thm)],[c_17,c_22]) ).
tff(c_176,plain,
! [X_38] : p(X_38,'#skF_4'),
inference(resolution,[status(thm)],[c_170,c_25]) ).
tff(c_26,plain,
! [Y_18,X_19] :
( q(Y_18,X_19)
| p(X_19,Y_18) ),
inference(resolution,[status(thm)],[c_6,c_18]) ).
tff(c_33,plain,
p('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_26,c_2]) ).
tff(c_12,plain,
! [X_1,Z_3,Y_2] :
( p(X_1,Z_3)
| ~ p(Y_2,Z_3)
| ~ p(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_36,plain,
! [X_1] :
( p(X_1,'#skF_3')
| ~ p(X_1,'#skF_4') ),
inference(resolution,[status(thm)],[c_33,c_12]) ).
tff(c_181,plain,
! [X_1] : p(X_1,'#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_36]) ).
tff(c_67,plain,
! [X_28,X_29,Y_30] :
( q(X_28,X_29)
| ~ q(X_28,Y_30)
| p(X_29,Y_30) ),
inference(resolution,[status(thm)],[c_21,c_42]) ).
tff(c_257,plain,
! [X_46,X_47,Y_48] :
( q(X_46,X_47)
| p(X_47,Y_48)
| p(X_46,Y_48) ),
inference(resolution,[status(thm)],[c_6,c_67]) ).
tff(c_299,plain,
! [Y_51] :
( p('#skF_4',Y_51)
| p('#skF_3',Y_51) ),
inference(resolution,[status(thm)],[c_257,c_2]) ).
tff(c_301,plain,
! [X_1,Y_51] :
( p(X_1,Y_51)
| ~ p(X_1,'#skF_3')
| p('#skF_4',Y_51) ),
inference(resolution,[status(thm)],[c_299,c_12]) ).
tff(c_304,plain,
! [X_1,Y_51] :
( p(X_1,Y_51)
| p('#skF_4',Y_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_181,c_301]) ).
tff(c_333,plain,
! [Y_54] : p('#skF_4',Y_54),
inference(factorization,[status(thm),theory(equality)],[c_304]) ).
tff(c_335,plain,
! [X_1,Y_54] :
( p(X_1,Y_54)
| ~ p(X_1,'#skF_4') ),
inference(resolution,[status(thm)],[c_333,c_12]) ).
tff(c_338,plain,
! [X_1,Y_54] : p(X_1,Y_54),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_335]) ).
tff(c_4,plain,
~ p('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_358,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_338,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN726+1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.13 % 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
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Apr 9 08:13:03 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.01/1.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.35/1.78
% 3.35/1.78 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------