%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN323-1 : 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 : n019.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 10:03:11 PM UTC 2025
% Result : Unsatisfiable 2.34s 1.61s
% Output : CNFRefutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ g > f > #nlpp > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(f,type,
f: ( $i * $i ) > $o ).
tff(g,type,
g: ( $i * $i ) > $o ).
tff(f_30,axiom,
! [X] :
( f(X,a)
| g(X,a) ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [X] :
( f(X,a)
| ~ g(X,a) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X] :
( ~ f(a,X)
| g(X,a) ),
file(unknown,unknown) ).
tff(f_46,axiom,
! [X] :
( ~ f(a,X)
| ~ g(X,a) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] :
( g(X_1,a)
| f(X_1,a) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_21,plain,
! [X_9] :
( ~ g(X_9,a)
| f(X_9,a) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_28,plain,
! [X_10] : f(X_10,a),
inference(resolution,[status(thm)],[c_2,c_21]) ).
tff(c_15,plain,
! [X_7] :
( g(X_7,a)
| ~ f(a,X_7) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_8,plain,
! [X_4] :
( ~ g(X_4,a)
| ~ f(a,X_4) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_19,plain,
! [X_7] : ~ f(a,X_7),
inference(resolution,[status(thm)],[c_15,c_8]) ).
tff(c_33,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN323-1 : TPTP v9.0.0. Released v1.2.0.
% 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
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 07:17:17 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.34/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.34/1.61
% 2.34/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------