%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN006-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n021.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 10:01:51 PM UTC 2025
% Result : Unsatisfiable 2.59s 1.66s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 36 ( 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ q4 > q3 > q2 > q1 > p2 > p1 > #nlpp > g > f > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(q4,type,
q4: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(p1,type,
p1: ( $i * $i ) > $o ).
tff(f,type,
f: $i > $i ).
tff(g,type,
g: $i > $i ).
tff(q1,type,
q1: ( $i * $i ) > $o ).
tff(q2,type,
q2: ( $i * $i ) > $o ).
tff(q3,type,
q3: ( $i * $i ) > $o ).
tff(f_30,axiom,
! [Y] : p1(a,Y),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X,Y] : ~ q2(X,f(Y)),
file(unknown,unknown) ).
tff(f_28,axiom,
! [X,Y] :
( ~ p1(X,f(Y))
| q1(f(X),Y)
| q2(X,f(Y)) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X,Y] :
( ~ q1(X,f(Y))
| p2(f(X),Y) ),
file(unknown,unknown) ).
tff(f_43,axiom,
! [X,Y] : ~ q3(X,g(Y)),
file(unknown,unknown) ).
tff(f_40,axiom,
! [X,Y] :
( ~ p2(X,f(Y))
| q3(f(X),Y)
| q4(X,f(Y)) ),
file(unknown,unknown) ).
tff(f_46,axiom,
! [X,Y] : ~ q4(f(f(X)),f(g(f(Y)))),
file(unknown,unknown) ).
tff(c_4,plain,
! [Y_3] : p1(a,Y_3),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_6,plain,
! [X_4,Y_5] : ~ q2(X_4,f(Y_5)),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( q2(X_1,f(Y_2))
| q1(f(X_1),Y_2)
| ~ p1(X_1,f(Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_15,plain,
! [X_1,Y_2] :
( q1(f(X_1),Y_2)
| ~ p1(X_1,f(Y_2)) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_2]) ).
tff(c_21,plain,
! [X_23,Y_24] :
( p2(f(X_23),Y_24)
| ~ q1(X_23,f(Y_24)) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_26,plain,
! [X_1,Y_24] :
( p2(f(f(X_1)),Y_24)
| ~ p1(X_1,f(f(Y_24))) ),
inference(resolution,[status(thm)],[c_15,c_21]) ).
tff(c_10,plain,
! [X_8,Y_9] : ~ q3(X_8,g(Y_9)),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_28,plain,
! [X_27,Y_28] :
( q4(X_27,f(Y_28))
| q3(f(X_27),Y_28)
| ~ p2(X_27,f(Y_28)) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_12,plain,
! [X_10,Y_11] : ~ q4(f(f(X_10)),f(g(f(Y_11)))),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_31,plain,
! [X_10,Y_11] :
( q3(f(f(f(X_10))),g(f(Y_11)))
| ~ p2(f(f(X_10)),f(g(f(Y_11)))) ),
inference(resolution,[status(thm)],[c_28,c_12]) ).
tff(c_35,plain,
! [X_29,Y_30] : ~ p2(f(f(X_29)),f(g(f(Y_30)))),
inference(negUnitSimplification,[status(thm)],[c_10,c_31]) ).
tff(c_41,plain,
! [X_31,Y_32] : ~ p1(X_31,f(f(f(g(f(Y_32)))))),
inference(resolution,[status(thm)],[c_26,c_35]) ).
tff(c_46,plain,
$false,
inference(resolution,[status(thm)],[c_4,c_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN006-1 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % 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
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Apr 9 06:51:29 EDT 2025
% 0.19/0.34 % CPUTime :
% 2.59/1.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.59/1.66
% 2.59/1.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------