%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN386+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 : n032.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 10:03:25 PM UTC 2025
% Result : Theorem 2.48s 1.54s
% Output : CNFRefutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 25 ( 9 ~; 7 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 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; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 43 ( 37 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_d > big_s > big_f > #nlpp > #skF_5 > #skF_6 > #skF_4 > #skF_1 > #skF_2 > #skF_3 > #skF_7
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(big_s,type,
big_s: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(big_d,type,
big_d: ( $i * $i * $i ) > $o ).
tff(big_f,type,
big_f: ( $i * $i ) > $o ).
tff(f_60,negated_conjecture,
~ ( ( ! [X] :
? [Y] : big_f(X,Y)
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_s(N,W)
=> big_d(W,X,E) )
& ! [E] :
? [D] :
! [A,B] :
( big_d(A,B,D)
=> ! [Y,Z] :
( ( big_f(A,Y)
& big_f(B,Z) )
=> big_d(Y,Z,E) ) ) )
=> ? [Y] :
! [E] :
? [M] :
! [W] :
( big_s(M,W)
=> ! [Z] :
( big_f(W,Z)
=> big_d(Z,Y,E) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2138) ).
tff(c_6,plain,
! [M_65,Y_42] : big_s(M_65,'#skF_6'(Y_42,M_65)),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17,plain,
! [W_77,E_78] :
( big_d(W_77,'#skF_2',E_78)
| ~ big_s('#skF_3'(E_78),W_77) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22,plain,
! [Y_42,E_78] : big_d('#skF_6'(Y_42,'#skF_3'(E_78)),'#skF_2',E_78),
inference(resolution,[status(thm)],[c_6,c_17]) ).
tff(c_4,plain,
! [Y_42,M_65] : big_f('#skF_6'(Y_42,M_65),'#skF_7'(Y_42,M_65)),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12,plain,
! [X_1] : big_f(X_1,'#skF_1'(X_1)),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23,plain,
! [B_83,E_80,A_81,Z_82,Y_79] :
( big_d(Y_79,Z_82,E_80)
| ~ big_f(B_83,Z_82)
| ~ big_f(A_81,Y_79)
| ~ big_d(A_81,B_83,'#skF_4'(E_80)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31,plain,
! [Y_86,X_87,E_88,A_89] :
( big_d(Y_86,'#skF_1'(X_87),E_88)
| ~ big_f(A_89,Y_86)
| ~ big_d(A_89,X_87,'#skF_4'(E_88)) ),
inference(resolution,[status(thm)],[c_12,c_23]) ).
tff(c_39,plain,
! [Y_93,M_94,X_95,E_96] :
( big_d('#skF_7'(Y_93,M_94),'#skF_1'(X_95),E_96)
| ~ big_d('#skF_6'(Y_93,M_94),X_95,'#skF_4'(E_96)) ),
inference(resolution,[status(thm)],[c_4,c_31]) ).
tff(c_45,plain,
! [Y_97,E_98] : big_d('#skF_7'(Y_97,'#skF_3'('#skF_4'(E_98))),'#skF_1'('#skF_2'),E_98),
inference(resolution,[status(thm)],[c_22,c_39]) ).
tff(c_2,plain,
! [Y_42,M_65] : ~ big_d('#skF_7'(Y_42,M_65),Y_42,'#skF_5'(Y_42)),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_50,plain,
$false,
inference(resolution,[status(thm)],[c_45,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN386+1 : TPTP v9.0.0. Released v2.0.0.
% 0.00/0.08 % 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
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Wed Apr 9 07:21:45 EDT 2025
% 0.08/0.27 % CPUTime :
% 2.48/1.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.48/1.54
% 2.48/1.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------