%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV817-1 : TPTP v9.0.0. Released v4.1.0.
% 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 : n023.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 09:31:43 PM UTC 2025
% Result : Unsatisfiable 2.66s 1.69s
% Output : CNFRefutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 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 : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Fun_Oid > #nlpp > v_x > v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 > v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 > v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 > v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 > t_a > c_Hoare__Mirabelle_Ostate__not__singleton
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1: $i ).
tff(t_a,type,
t_a: $i ).
tff(c_Hoare__Mirabelle_Ostate__not__singleton,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
tff(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1: $i ).
tff(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2: $i ).
tff(c_Fun_Oid,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2: $i ).
tff(f_44,axiom,
! [V_s] : ( V_s = v_x ),
file(unknown,unknown) ).
tff(f_42,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file(unknown,unknown) ).
tff(f_41,axiom,
( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file(unknown,unknown) ).
tff(c_42,plain,
v_x = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1,
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_20,plain,
! [V_s_6] : ( v_x = V_s_6 ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_82,plain,
! [V_s_49] : ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 = V_s_49 ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_20]) ).
tff(c_12,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_10,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 ) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_16,plain,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10]) ).
tff(c_100,plain,
$false,
inference(superposition,[status(thm),theory(equality)],[c_82,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV817-1 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n023.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Apr 9 04:46:24 EDT 2025
% 0.13/0.35 % CPUTime :
% 2.66/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/1.69
% 2.66/1.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------