%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV864-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 : Fri Jul 25 04:47:47 PM UTC 2025
% Result : Unsatisfiable 88.73s 11.49s
% Output : CNFRefutation 88.73s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_2)
% Comments :
%------------------------------------------------------------------------------
cnf(27,plain,
( X0 = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xb(X0)) ),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l0,plain,
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa) = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(28,plain,
( X0 != v_xb(X0)
| X0 = v_xa ),
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l162,plain,
( v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)) != v_xb(v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))
| v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)) = v_xa ),
inference(instantiation,[status(thm)],[28]) ).
cnf(14,plain,
( ~ c_Natural_Oevalc(X0,X1,X2)
| ~ c_Natural_Oevalc(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[cls_com__det_0]) ).
cnf(l167,plain,
( ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_Fun_Oid(v_c,X1_517),v_c)
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_Fun_Oid(v_c,X1_517),c_Fun_Oid(v_c,X1_517))
| v_c = c_Fun_Oid(v_c,X1_517) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(16,plain,
c_Fun_Oid(v_x,t_a) = v_x,
inference(cnf,[status(esa)],[cls_id__def_0]) ).
cnf(l513,plain,
c_Fun_Oid(v_x,t_a) = v_x,
inference(instantiation,[status(thm)],[16]) ).
cnf(18,plain,
( X0 = X1
| c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(cnf,[status(esa)],[cls_state__not__singleton__def_1]) ).
cnf(l407,plain,
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa))) = c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))
| c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(instantiation,[status(thm)],[18]) ).
cnf(15,plain,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X0,X0),
inference(cnf,[status(esa)],[cls_evalc_OSkip_0]) ).
cnf(l368,plain,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_Fun_Oid(v_c,X1_517),c_Fun_Oid(v_c,X1_517)),
inference(instantiation,[status(thm)],[15]) ).
cnf(l177,plain,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_Fun_Oid(v_c,X1_517),c_Fun_Oid(v_c,X1_517)),
inference(instantiation,[status(thm)],[15]) ).
cnf(l201,plain,
( ~ c_Natural_Oevalc(v_c,v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))
| ~ c_Natural_Oevalc(v_c,v_x,v_xb(v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))))
| v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)) = v_xb(v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l496,plain,
c_Fun_Oid(v_x,t_a) = v_x,
inference(instantiation,[status(thm)],[16]) ).
cnf(19,plain,
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(cnf,[status(esa)],[cls_single__stateE_0]) ).
cnf(l400,plain,
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa))) != c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa),c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(v_xa,v_xa,v_xa,v_xa,v_xa))
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l531,plain,
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa) != v_xa
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l203,plain,
( v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)) = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xb(v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(0,plain,
c_Fun_Oid(X0,X1) = X0,
inference(cnf,[status(esa)],[cls_id__apply_0]) ).
cnf(l176,plain,
c_Fun_Oid(v_c,X1_517) = v_c,
inference(instantiation,[status(thm)],[0]) ).
cnf(l502,plain,
c_Fun_Oid(v_x,v_x) = v_x,
inference(instantiation,[status(thm)],[0]) ).
cnf(l197,plain,
( ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_Fun_Oid(v_x,t_a),v_x)
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_Fun_Oid(v_x,t_a),c_Fun_Oid(c_Fun_Oid(v_x,t_a),c_Fun_Oid(v_x,t_a)))
| v_x = c_Fun_Oid(c_Fun_Oid(v_x,t_a),c_Fun_Oid(v_x,t_a)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(25,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l530,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(instantiation,[status(thm)],[25]) ).
cnf(26,plain,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l516,plain,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
inference(instantiation,[status(thm)],[26]) ).
cnf(l517,plain,
c_Fun_Oid(v_c,X1_517) = v_c,
inference(instantiation,[status(thm)],[0]) ).
cnf(l257,plain,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_Fun_Oid(c_Fun_Oid(v_x,t_a),c_Fun_Oid(v_x,t_a)),c_Fun_Oid(c_Fun_Oid(v_x,t_a),c_Fun_Oid(v_x,t_a))),
inference(instantiation,[status(thm)],[15]) ).
cnf(l232,plain,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_Fun_Oid(v_x,t_a),c_Fun_Oid(v_x,t_a)),
inference(instantiation,[status(thm)],[15]) ).
cnf(l224,plain,
c_Fun_Oid(v_x,t_a) = v_x,
inference(instantiation,[status(thm)],[0]) ).
cnf(l207,plain,
c_Fun_Oid(c_Fun_Oid(v_x,t_a),c_Fun_Oid(v_x,t_a)) = c_Fun_Oid(v_x,t_a),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l162,l167,l513,l407,l368,l177,l201,l496,l400,l531,l203,l176,l502,l197,l530,l516,l517,l257,l232,l224,l207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV864-1 : TPTP v9.0.0. Released v4.1.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 12:16:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.20/0.36 % launching worker at depth: 10
% 3.11/0.74 % launching worker at depth: 11
% 88.73/11.49 % SZS status Theorem for theBenchmark
% 88.73/11.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------