%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SET824-2 : 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 : n004.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 08:39:19 PM UTC 2025
% Result : Unsatisfiable 2.43s 1.53s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_uminus > #nlpp > tc_set > v_a > tc_IntDef_Oint
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tc_set,type,
tc_set: $i > $i ).
tff(tc_IntDef_Oint,type,
tc_IntDef_Oint: $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(v_a,type,
v_a: $i ).
tff(c_uminus,type,
c_uminus: ( $i * $i ) > $i ).
tff(f_33,axiom,
! [V_U] : c_in(v_a,V_U,tc_IntDef_Oint),
file(unknown,unknown) ).
tff(f_31,axiom,
! [V_c,V_A,T_a] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [V_U_4] : c_in(v_a,V_U_4,tc_IntDef_Oint),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_6,plain,
! [V_c_6,V_A_7,T_a_8] :
( ~ c_in(V_c_6,c_uminus(V_A_7,tc_set(T_a_8)),T_a_8)
| ~ c_in(V_c_6,V_A_7,T_a_8) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_10,plain,
! [V_A_7] : ~ c_in(v_a,V_A_7,tc_IntDef_Oint),
inference(resolution,[status(thm)],[c_4,c_6]) ).
tff(c_14,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET824-2 : TPTP v9.0.0. Released v3.2.0.
% 0.08/0.14 % 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 : n004.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 : Tue Apr 8 21:42:37 EDT 2025
% 0.14/0.35 % CPUTime :
% 2.43/1.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.43/1.54
% 2.43/1.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------