%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV904-1 : 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/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 : n021.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 09:31:52 PM UTC 2025
% Result : Unsatisfiable 2.52s 1.56s
% Output : CNFRefutation 2.59s
% 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 : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Com_OWT > c_Option_Ooption_OSome > c_Com_Ocom_OSemi > #nlpp > v_sko__Hoare__Mirabelle__Xsingle__stateE__1 > c_Option_Ooption_ONone > c_Com_Osko__Com__XWTs__elim__cases__7__1 > c_Com_Ocom_OBODY > c_Com_Obody > 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 > v_c > tc_Com_Ocom > c_Hoare__Mirabelle_Ostate__not__singleton > c_Com_Ocom_OSKIP > c_Com_OWT__bodies
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_c,type,
v_c: $i ).
tff(c_Option_Ooption_OSome,type,
c_Option_Ooption_OSome: ( $i * $i ) > $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(c_Com_OWT__bodies,type,
c_Com_OWT__bodies: $o ).
tff(c_Com_Ocom_OSKIP,type,
c_Com_Ocom_OSKIP: $i ).
tff(c_Hoare__Mirabelle_Ostate__not__singleton,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
tff(tc_Com_Ocom,type,
tc_Com_Ocom: $i ).
tff(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1: $i ).
tff(c_Com_Obody,type,
c_Com_Obody: $i > $i ).
tff(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2: $i ).
tff(c_Com_Ocom_OBODY,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(c_Com_OWT,type,
c_Com_OWT: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xsingle__stateE__1,type,
v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).
tff(c_Com_Ocom_OSemi,type,
c_Com_Ocom_OSemi: ( $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(c_Com_Osko__Com__XWTs__elim__cases__7__1,type,
c_Com_Osko__Com__XWTs__elim__cases__7__1: $i > $i ).
tff(c_Option_Ooption_ONone,type,
c_Option_Ooption_ONone: $i > $i ).
tff(f_135,axiom,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
file(unknown,unknown) ).
tff(f_131,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file(unknown,unknown) ).
tff(c_58,plain,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_52,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_59,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV904-1 : TPTP v9.0.0. Released v4.1.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n021.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 04:55:59 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.52/1.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.59/1.56
% 2.59/1.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------