%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYO611-1 : TPTP v9.0.0. Released v7.1.0.
% 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 : n010.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 10:37:58 PM UTC 2025
% Result : Unsatisfiable 2.47s 1.54s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 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; 1 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ le > eq > max > #nlpp > s > f > a0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(le,type,
le: ( $i * $i ) > $o ).
tff(s,type,
s: $i > $i ).
tff(f,type,
f: $i > $i ).
tff(a0,type,
a0: $i ).
tff(max,type,
max: ( $i * $i ) > $i ).
tff(eq,type,
eq: ( $i * $i ) > $o ).
tff(f_25,axiom,
! [A] : le(A,A),
file(unknown,unknown) ).
tff(f_37,axiom,
! [A] : eq(f(A),a0),
file(unknown,unknown) ).
tff(f_46,axiom,
! [A0,A1] :
( ~ eq(f(A0),a0)
| ~ eq(f(A1),a0)
| ~ le(s(A0),A1) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1] : le(A_1,A_1),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_8,plain,
! [A_8] : eq(f(A_8),a0),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_10,plain,
! [A0_9,A1_10] :
( ~ le(s(A0_9),A1_10)
| ~ eq(f(A1_10),a0)
| ~ eq(f(A0_9),a0) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_14,plain,
! [A0_12,A1_13] : ~ le(s(A0_12),A1_13),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_8,c_10]) ).
tff(c_19,plain,
$false,
inference(resolution,[status(thm)],[c_2,c_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO611-1 : TPTP v9.0.0. Released v7.1.0.
% 0.03/0.13 % 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
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Apr 9 09:35:34 EDT 2025
% 0.14/0.35 % CPUTime :
% 2.47/1.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.47/1.54
% 2.47/1.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------