%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN310-1 : TPTP v9.0.0. Released v1.2.0.
% 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 : n024.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 10:03:08 PM UTC 2025
% Result : Unsatisfiable 2.93s 2.03s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 24 ( 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > #nlpp > g > f > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(f,type,
f: $i > $i ).
tff(g,type,
g: $i > $i ).
tff(b,type,
b: $i ).
tff(p,type,
p: ( $i * $i * $i ) > $o ).
tff(c,type,
c: $i ).
tff(f_43,axiom,
~ p(a,b,c),
file(unknown,unknown) ).
tff(f_44,axiom,
p(f(g(a)),f(g(b)),f(g(c))),
file(unknown,unknown) ).
tff(f_41,axiom,
! [X,X1,X2] :
( ~ p(f(X),X1,X2)
| p(X,X1,X2) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X2,X1,X] :
( ~ p(X2,X1,X)
| p(X,X1,X2) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X,X1,X2] :
( ~ p(X,X1,g(X2))
| p(X,X1,X2) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X1,X,X2] :
( ~ p(X1,X,X2)
| p(X,X1,X2) ),
file(unknown,unknown) ).
tff(c_10,plain,
~ p(a,b,c),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_12,plain,
p(f(g(a)),f(g(b)),f(g(c))),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_8,plain,
! [X_10,X1_11,X2_12] :
( p(X_10,X1_11,X2_12)
| ~ p(f(X_10),X1_11,X2_12) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_24,plain,
p(g(a),f(g(b)),f(g(c))),
inference(resolution,[status(thm)],[c_12,c_8]) ).
tff(c_2,plain,
! [X_3,X1_2,X2_1] :
( p(X_3,X1_2,X2_1)
| ~ p(X2_1,X1_2,X_3) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_31,plain,
p(f(g(c)),f(g(b)),g(a)),
inference(resolution,[status(thm)],[c_24,c_2]) ).
tff(c_6,plain,
! [X_7,X1_8,X2_9] :
( p(X_7,X1_8,X2_9)
| ~ p(X_7,X1_8,g(X2_9)) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_43,plain,
p(f(g(c)),f(g(b)),a),
inference(resolution,[status(thm)],[c_31,c_6]) ).
tff(c_55,plain,
p(g(c),f(g(b)),a),
inference(resolution,[status(thm)],[c_43,c_8]) ).
tff(c_62,plain,
p(a,f(g(b)),g(c)),
inference(resolution,[status(thm)],[c_55,c_2]) ).
tff(c_71,plain,
p(a,f(g(b)),c),
inference(resolution,[status(thm)],[c_62,c_6]) ).
tff(c_4,plain,
! [X_5,X1_4,X2_6] :
( p(X_5,X1_4,X2_6)
| ~ p(X1_4,X_5,X2_6) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_80,plain,
p(f(g(b)),a,c),
inference(resolution,[status(thm)],[c_71,c_4]) ).
tff(c_95,plain,
p(g(b),a,c),
inference(resolution,[status(thm)],[c_80,c_8]) ).
tff(c_103,plain,
p(c,a,g(b)),
inference(resolution,[status(thm)],[c_95,c_2]) ).
tff(c_123,plain,
p(c,a,b),
inference(resolution,[status(thm)],[c_103,c_6]) ).
tff(c_131,plain,
p(b,a,c),
inference(resolution,[status(thm)],[c_123,c_2]) ).
tff(c_136,plain,
p(a,b,c),
inference(resolution,[status(thm)],[c_131,c_4]) ).
tff(c_142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYN310-1 : TPTP v9.0.0. Released v1.2.0.
% 0.09/0.12 % 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
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Apr 9 07:16:06 EDT 2025
% 0.10/0.32 % CPUTime :
% 2.93/2.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.93/2.04
% 2.93/2.04 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------