%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN095-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 : n028.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 10:02:36 PM UTC 2025
% Result : Unsatisfiable 2.52s 1.63s
% Output : CNFRefutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 5 ( 5 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ q_2_2 > q_1_2 > q_1_1 > p_2_2 > p_1_2 > p_1_1 > #nlpp > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p_2_2,type,
p_2_2: $i > $o ).
tff(a,type,
a: $i ).
tff(p_1_2,type,
p_1_2: $i > $o ).
tff(p_1_1,type,
p_1_1: $i > $o ).
tff(q_2_2,type,
q_2_2: $i > $o ).
tff(q_1_2,type,
q_1_2: $i > $o ).
tff(q_1_1,type,
q_1_1: $i > $o ).
tff(f_80,axiom,
p_1_1(a),
file(unknown,unknown) ).
tff(f_82,axiom,
p_2_2(a),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X] : ~ p_1_2(X),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X] :
( p_1_2(X)
| ~ p_2_2(X)
| ~ p_1_1(X) ),
file(unknown,unknown) ).
tff(c_20,plain,
p_1_1(a),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_24,plain,
p_2_2(a),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_2,plain,
! [X_1] : ~ p_1_2(X_1),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4,plain,
! [X_2] :
( ~ p_1_1(X_2)
| ~ p_2_2(X_2)
| p_1_2(X_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_30,plain,
! [X_11] :
( ~ p_1_1(X_11)
| ~ p_2_2(X_11) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_4]) ).
tff(c_33,plain,
~ p_1_1(a),
inference(resolution,[status(thm)],[c_24,c_30]) ).
tff(c_37,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN095-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.08/0.13 % 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
% 0.12/0.34 % Computer : n028.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 06:56:50 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.52/1.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/1.64
% 2.52/1.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------