%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV907-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:00:10 PM UTC 2026
% Result : Unsatisfiable 4.78s 6.14s
% Output : CNFRefutation 4.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 18 unt; 0 nHn; 22 RR)
% Number of literals : 49 ( 4 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-5 aty)
% Number of variables : 34 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_MGF__lemma2__simult_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_lessequals(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MGF__lemma2__simult_0) ).
cnf(cls_MGT__Body_0,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X2,tc_Com_Opname)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MGT__Body_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_image__image_0,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__image_0) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Un__empty__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_finite__dom__body_0,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).
cnf(c_0_9,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_lessequals(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate) ),
inference(fof_simplification,[status(thm)],[cls_MGF__lemma2__simult_0]) ).
cnf(c_0_10,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X2,tc_Com_Opname)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(fof_simplification,[status(thm)],[cls_MGT__Body_0]) ).
cnf(c_0_11,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_lessequals(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate) ),
c_0_9 ).
cnf(c_0_12,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
cls_conjecture_0 ).
cnf(c_0_13,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_1 ).
cnf(c_0_14,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X2,tc_Com_Opname)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
c_0_10 ).
cnf(c_0_15,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
cls_image__image_0 ).
cnf(c_0_16,plain,
( ~ c_lessequals(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_17,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_18,plain,
( ~ c_Finite__Set_Ofinite(X2,tc_Com_Opname)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X2,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,X2,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X2,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_19,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
cls_Un__empty__left_0 ).
cnf(c_0_20,plain,
( ~ c_lessequals(X1,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_21,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0 ).
cnf(c_0_22,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
c_0_17 ).
cnf(c_0_23,plain,
( ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,X1,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
cls_finite__dom__body_0 ).
cnf(c_0_26,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(rw,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV907-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.37 % Computer : n015.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 09:34:27 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.78/6.14 % Version: 3.5.1
% 4.78/6.14 % Preprocessing class: FSLSSLSMSSSNFFN.
% 4.78/6.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.78/6.14 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 4.78/6.14 % Starting new_bool_3 with 300s (1) cores
% 4.78/6.14 % Starting new_bool_1 with 300s (1) cores
% 4.78/6.14 % Starting sh5l with 300s (1) cores
% 4.78/6.14 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1145427 completed with status 0
% 4.78/6.14 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 4.78/6.14 % Preprocessing class: FSLSSLSMSSSNFFN.
% 4.78/6.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.78/6.14 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 4.78/6.14 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.78/6.14 % No SInE strategy applied
% 4.78/6.14 % Search class: FGHSM-FSLM32-MFFFFFNN
% 4.78/6.14 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 4.78/6.14 % Starting SubtermCWHack with 136s (1) cores
% 4.78/6.14 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 4.78/6.14 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 4.78/6.14 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 4.78/6.14 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 4.78/6.14 % G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 1145438 completed with status 0
% 4.78/6.14 % Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 4.78/6.14 % Preprocessing class: FSLSSLSMSSSNFFN.
% 4.78/6.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.78/6.14 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 4.78/6.14 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.78/6.14 % No SInE strategy applied
% 4.78/6.14 % Search class: FGHSM-FSLM32-MFFFFFNN
% 4.78/6.14 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 4.78/6.14 % Starting SubtermCWHack with 136s (1) cores
% 4.78/6.14 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 4.78/6.14 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 4.78/6.14 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 4.78/6.14 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 4.78/6.14 % Preprocessing time : 0.008 s
% 4.78/6.14 % Presaturation interreduction done
% 4.78/6.14
% 4.78/6.14 % Proof found!
% 4.78/6.14 % SZS status Unsatisfiable
% 4.78/6.14 % SZS output start CNFRefutation
% See solution above
% 4.78/6.14 % Parsed axioms : 551
% 4.78/6.14 % Removed by relevancy pruning/SinE : 0
% 4.78/6.14 % Initial clauses : 551
% 4.78/6.14 % Removed in clause preprocessing : 1
% 4.78/6.14 % Initial clauses in saturation : 550
% 4.78/6.14 % Processed clauses : 5264
% 4.78/6.14 % ...of these trivial : 149
% 4.78/6.14 % ...subsumed : 3137
% 4.78/6.14 % ...remaining for further processing : 1978
% 4.78/6.14 % Other redundant clauses eliminated : 295
% 4.78/6.14 % Clauses deleted for lack of memory : 0
% 4.78/6.14 % Backward-subsumed : 171
% 4.78/6.14 % Backward-rewritten : 51
% 4.78/6.14 % Generated clauses : 19588
% 4.78/6.14 % ...of the previous two non-redundant : 16174
% 4.78/6.14 % ...aggressively subsumed : 0
% 4.78/6.14 % Contextual simplify-reflections : 3
% 4.78/6.14 % Paramodulations : 19252
% 4.78/6.14 % Factorizations : 2
% 4.78/6.14 % NegExts : 0
% 4.78/6.14 % Equation resolutions : 334
% 4.78/6.14 % Disequality decompositions : 0
% 4.78/6.14 % Total rewrite steps : 7457
% 4.78/6.14 % ...of those cached : 5703
% 4.78/6.14 % Propositional unsat checks : 0
% 4.78/6.14 % Propositional check models : 0
% 4.78/6.14 % Propositional check unsatisfiable : 0
% 4.78/6.14 % Propositional clauses : 0
% 4.78/6.14 % Propositional clauses after purity: 0
% 4.78/6.14 % Propositional unsat core size : 0
% 4.78/6.14 % Propositional preprocessing time : 0.000
% 4.78/6.14 % Propositional encoding time : 0.000
% 4.78/6.14 % Propositional solver time : 0.000
% 4.78/6.14 % Success case prop preproc time : 0.000
% 4.78/6.14 % Success case prop encoding time : 0.000
% 4.78/6.14 % Success case prop solver time : 0.000
% 4.78/6.14 % Current number of processed clauses : 1305
% 4.78/6.14 % Positive orientable unit clauses : 233
% 4.78/6.14 % Positive unorientable unit clauses: 13
% 4.78/6.14 % Negative unit clauses : 132
% 4.78/6.14 % Non-unit-clauses : 927
% 4.78/6.14 % Current number of unprocessed clauses: 11431
% 4.78/6.14 % ...number of literals in the above : 30035
% 4.78/6.14 % Current number of archived formulas : 0
% 4.78/6.14 % Current number of archived clauses : 674
% 4.78/6.14 % Clause-clause subsumption calls (NU) : 198302
% 4.78/6.14 % Rec. Clause-clause subsumption calls : 148012
% 4.78/6.14 % Non-unit clause-clause subsumptions : 1916
% 4.78/6.14 % Unit Clause-clause subsumption calls : 10275
% 4.78/6.14 % Rewrite failures with RHS unbound : 0
% 4.78/6.14 % BW rewrite match attempts : 3596
% 4.78/6.14 % BW rewrite match successes : 223
% 4.78/6.14 % Condensation attempts : 0
% 4.78/6.14 % Condensation successes : 0
% 4.78/6.14 % Termbank termtop insertions : 323514
% 4.78/6.14 % Search garbage collected termcells : 907
% 4.78/6.14
% 4.78/6.14 % -------------------------------------------------
% 4.78/6.14 % User time : 0.645 s
% 4.78/6.14 % System time : 0.024 s
% 4.78/6.14 % Total time : 0.669 s
% 4.78/6.14 % Maximum resident set size: 4544 pages
% 4.78/6.14
% 4.78/6.14 % -------------------------------------------------
% 4.78/6.14 % User time : 3.189 s
% 4.78/6.14 % System time : 0.147 s
% 4.78/6.14 % Total time : 3.337 s
% 4.78/6.14 % Maximum resident set size: 5120 pages
% 4.78/6.14 % E exiting
%------------------------------------------------------------------------------