%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV865-1 : 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 : 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 09:31:48 PM UTC 2025
% Result : Unsatisfiable 4.09s 2.00s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 31 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 5 ( 3 usr; 2 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-5 aty)
% Number of variables : 28 ( 28 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Natural_Oevaln > c_Natural_Oevalc > c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 > c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 > c_Natural_Osko__Natural__Xevalc__evaln__1__1 > c_Natural_Osko__Natural__Xeval__eq__1__1 > c_Code__Evaluation_Otracing > hAPP > c_Com_Ocom_OSemi > #nlpp > v_sko__Hoare__Mirabelle__Xsingle__stateE__1 > v_Z_H > v_x > v_t > 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_s_H > v_s > v_c > v_Z > t_a > c_Hoare__Mirabelle_Ostate__not__singleton > c_Com_Ocom_OSKIP
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(c_Natural_Osko__Natural__Xevalc__elim__cases__4__1,type,
c_Natural_Osko__Natural__Xevalc__elim__cases__4__1: ( $i * $i * $i * $i ) > $i ).
tff(v_c,type,
v_c: $i ).
tff(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__4__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_s,type,
v_s: $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_Natural_Osko__Natural__Xeval__eq__1__1,type,
c_Natural_Osko__Natural__Xeval__eq__1__1: ( $i * $i * $i ) > $i ).
tff(c_Natural_Oevalc,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $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(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1: $i ).
tff(c_Natural_Osko__Natural__Xevalc__evaln__1__1,type,
c_Natural_Osko__Natural__Xevalc__evaln__1__1: ( $i * $i * $i ) > $i ).
tff(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2: $i ).
tff(v_s_H,type,
v_s_H: $i ).
tff(v_Z_H,type,
v_Z_H: $i > $i ).
tff(c_Code__Evaluation_Otracing,type,
c_Code__Evaluation_Otracing: ( $i * $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(v_Z,type,
v_Z: $i ).
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_Natural_Oevaln,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
tff(v_t,type,
v_t: $i ).
tff(f_144,axiom,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
file(unknown,unknown) ).
tff(f_149,axiom,
! [V_Z_Ha] :
( ( V_Z_Ha = v_s_H )
| c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha)) ),
file(unknown,unknown) ).
tff(f_95,axiom,
! [V_u,V_t,V_c,V_s] :
( ( V_u = V_t )
| ~ c_Natural_Oevalc(V_c,V_s,V_u)
| ~ c_Natural_Oevalc(V_c,V_s,V_t) ),
file(unknown,unknown) ).
tff(f_154,axiom,
! [V_Z_Ha] :
( ( V_Z_Ha != v_Z_H(V_Z_Ha) )
| ( V_Z_Ha = v_s_H ) ),
file(unknown,unknown) ).
tff(f_87,axiom,
! [V_com1_H,V_com2_H] : ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ),
file(unknown,unknown) ).
tff(c_54,plain,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_58,plain,
! [V_Z_Ha_74] :
( c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha_74))
| ( v_s_H = V_Z_Ha_74 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_112,plain,
! [V_c_104,V_s_105,V_t_106,V_u_107] :
( ~ c_Natural_Oevalc(V_c_104,V_s_105,V_t_106)
| ~ c_Natural_Oevalc(V_c_104,V_s_105,V_u_107)
| ( V_u_107 = V_t_106 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_122,plain,
! [V_u_108,V_Z_Ha_109] :
( ~ c_Natural_Oevalc(v_c,v_Z,V_u_108)
| ( v_Z_H(V_Z_Ha_109) = V_u_108 )
| ( v_s_H = V_Z_Ha_109 ) ),
inference(resolution,[status(thm)],[c_58,c_112]) ).
tff(c_138,plain,
! [V_Z_Ha_114,V_Z_Ha_113] :
( ( v_Z_H(V_Z_Ha_114) = v_Z_H(V_Z_Ha_113) )
| ( v_s_H = V_Z_Ha_114 )
| ( v_s_H = V_Z_Ha_113 ) ),
inference(resolution,[status(thm)],[c_58,c_122]) ).
tff(c_60,plain,
! [V_Z_Ha_75] :
( ( v_s_H = V_Z_Ha_75 )
| ( v_Z_H(V_Z_Ha_75) != V_Z_Ha_75 ) ),
inference(cnfTransformation,[status(thm)],[f_154]) ).
tff(c_159,plain,
! [V_Z_Ha_113,V_Z_Ha_114] :
( ( v_s_H = V_Z_Ha_113 )
| ( v_Z_H(V_Z_Ha_114) != V_Z_Ha_113 )
| ( v_s_H = V_Z_Ha_114 )
| ( v_s_H = V_Z_Ha_113 ) ),
inference(superposition,[status(thm),theory(equality)],[c_138,c_60]) ).
tff(c_178,plain,
! [V_Z_Ha_114] :
( ( v_Z_H(V_Z_Ha_114) = v_s_H )
| ( v_s_H = V_Z_Ha_114 )
| ( v_Z_H(V_Z_Ha_114) = v_s_H ) ),
inference(reflexivity,[status(thm),theory(equality)],[c_159]) ).
tff(c_230,plain,
! [V_Z_Ha_118] :
( ( v_s_H = V_Z_Ha_118 )
| ( v_Z_H(V_Z_Ha_118) = v_s_H ) ),
inference(factorization,[status(thm),theory(equality)],[c_178]) ).
tff(c_245,plain,
! [V_Z_Ha_118] :
( c_Natural_Oevalc(v_c,v_Z,v_s_H)
| ( v_s_H = V_Z_Ha_118 )
| ( v_s_H = V_Z_Ha_118 ) ),
inference(superposition,[status(thm),theory(equality)],[c_230,c_58]) ).
tff(c_259,plain,
! [V_Z_Ha_118] :
( ( v_s_H = V_Z_Ha_118 )
| ( v_s_H = V_Z_Ha_118 ) ),
inference(negUnitSimplification,[status(thm)],[c_54,c_245]) ).
tff(c_467,plain,
v_s_H = c_Com_Ocom_OSKIP,
inference(factorization,[status(thm),theory(equality)],[c_259]) ).
tff(c_281,plain,
! [V_Z_Ha_118] : ( v_s_H = V_Z_Ha_118 ),
inference(factorization,[status(thm),theory(equality)],[c_259]) ).
tff(c_649,plain,
! [V_Z_Ha_3026] : ( c_Com_Ocom_OSKIP = V_Z_Ha_3026 ),
inference(superposition,[status(thm),theory(equality)],[c_467,c_281]) ).
tff(c_28,plain,
! [V_com1_H_49,V_com2_H_50] : ( c_Com_Ocom_OSemi(V_com1_H_49,V_com2_H_50) != c_Com_Ocom_OSKIP ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_703,plain,
$false,
inference(superposition,[status(thm),theory(equality)],[c_649,c_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV865-1 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n004.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 04:51:37 EDT 2025
% 0.13/0.34 % CPUTime :
% 4.09/2.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.09/2.00
% 4.09/2.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------