%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SET818-2 : TPTP v9.0.0. Released v3.2.0.
% 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 : n032.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 08:39:17 PM UTC 2025
% Result : Unsatisfiable 2.08s 1.49s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 6 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > #nlpp > v_x > tc_IntDef_Oint > c_emptyset
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_emptyset,type,
c_emptyset: $i ).
tff(tc_IntDef_Oint,type,
tc_IntDef_Oint: $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(v_x,type,
v_x: $i > $i ).
tff(f_30,axiom,
! [V_U] : c_in(v_x(V_U),V_U,tc_IntDef_Oint),
file(unknown,unknown) ).
tff(f_28,axiom,
! [V_a,T_a] : ~ c_in(V_a,c_emptyset,T_a),
file(unknown,unknown) ).
tff(c_6,plain,
! [V_U_6] : c_in(v_x(V_U_6),V_U_6,tc_IntDef_Oint),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_2,plain,
! [V_a_1,T_a_2] : ~ c_in(V_a_1,c_emptyset,T_a_2),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_11,plain,
$false,
inference(resolution,[status(thm)],[c_6,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET818-2 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.11 % 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
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 8 21:42:00 EDT 2025
% 0.10/0.30 % CPUTime :
% 2.08/1.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.08/1.49
% 2.08/1.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------