%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP305_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:57:33 PM UTC 2026
% Result : Theorem 0.15s 0.80s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 21 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 74 ( 31 ~; 27 |; 13 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 16 ( 15 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-4 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'B_ZF_fun$': $tType ).
tff(decl_sort2,type,
'ZF_bool_fun$': $tType ).
tff(decl_sort3,type,
'A_set$': $tType ).
tff(decl_sort4,type,
'A_bool_fun$': $tType ).
tff(decl_sort5,type,
'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).
tff(decl_sort6,type,
'A_b_b_c_LSCategory_ext_Category_ext$': $tType ).
tff(decl_sort7,type,
'ZF_ZF_unit_Category_ext$': $tType ).
tff(decl_sort8,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).
tff(decl_sort9,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$': $tType ).
tff(decl_sort10,type,
'ZF$': $tType ).
tff(decl_sort11,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$': $tType ).
tff(decl_sort12,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$': $tType ).
tff(decl_sort13,type,
'A$': $tType ).
tff(decl_sort14,type,
'B$': $tType ).
tff(decl_sort15,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$': $tType ).
tff(decl_30,type,
'oppositeCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(decl_37,type,
'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(decl_44,type,
'fun_app$b': ( 'ZF$' * 'ZF_bool_fun$' ) > $o ).
tff(decl_49,type,
'fun_app$f': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ) > $o ).
tff(decl_51,type,
'x$': 'A$' ).
tff(decl_53,type,
'mapsTo$': ( 'A$' * ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) ) > 'A_bool_fun$' ).
tff(decl_61,type,
'lSCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(decl_62,type,
'natTrans$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).
tff(decl_73,type,
'yMapInv$': ( 'ZF$' * ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * ( 'A$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) ) ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(decl_134,type,
'set$': 'ZF_ZF_unit_Category_ext$' ).
tff(decl_153,type,
'fun_app$l': ( 'A$' * 'A_bool_fun$' ) > $o ).
tff(decl_155,type,
'nTCod$c': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ).
tff(decl_159,type,
'mor2ZF$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_ZF_fun$' ).
tff(decl_226,type,
'nTDom$c': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ).
tff(decl_247,type,
'functor_abbrev$': ( 'ZF_ZF_unit_Category_ext$' * ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) ) > $o ).
tff(decl_253,type,
'yMap$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * ( 'A$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) ) > 'ZF$' ).
tff(decl_264,type,
'obj$b': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_set$' ).
tff(decl_277,type,
'fun_app$v': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(decl_297,type,
'homSet$': ( 'A$' * ( 'A$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) ) > 'ZF$' ).
tff(decl_298,type,
'fun_app$e': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ) > $o ).
tff(decl_301,type,
'y$': 'A$' ).
tff(decl_313,type,
'eta$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(decl_327,type,
'member$i': ( 'A_set$' * 'A$' ) > $o ).
tff(decl_344,type,
'zF2mor$': ( 'ZF$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'B$' ).
tff(decl_354,type,
'mapO$': ( 'A$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(decl_396,type,
'elem$': 'ZF$' > 'ZF_bool_fun$' ).
tff(decl_416,type,
'fun_app$p': ( 'B$' * 'B_ZF_fun$' ) > 'ZF$' ).
tff(decl_432,type,
'yFtor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(decl_472,type,
'nt_abbrev$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(axiom522,axiom,
! [X1143: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',X1144: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1145: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] :
( 'fun_app$f'('nt_abbrev$'(X1143,X1144),X1145)
<=> ( ( 'fun_app$v'('nTCod$c',X1143) = X1145 )
& ( 'fun_app$v'('nTDom$c',X1143) = X1144 )
& 'fun_app$e'('natTrans$',X1143) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom522) ).
tff(conjecture34,conjecture,
'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) = 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture34) ).
tff(axiom38,axiom,
'fun_app$f'('nt_abbrev$'('eta$','mapO$'('yFtor$'('c$'),'x$')),'mapO$'('yFtor$'('c$'),'y$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom38) ).
tff(axiom71,axiom,
! [X144: 'A_b_b_c_LSCategory_ext_Category_ext$',X145: 'A$',X146: 'A$',X30: 'ZF$'] :
( ( 'fun_app$b'('elem$'(X30),'homSet$'(X144,X145,X146))
& 'member$i'(X146,'obj$b'(X144))
& 'member$i'(X145,'obj$b'(X144))
& 'lSCategory$'(X144) )
=> ( ( 'fun_app$p'('mor2ZF$'(X144),'zF2mor$'(X144,X30)) = X30 )
& 'fun_app$l'('mapsTo$'(X144,'zF2mor$'(X144,X30),X145),X146) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom71) ).
tff(axiom46,axiom,
! [X79: 'A_b_b_c_LSCategory_ext_Category_ext$',X80: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X81: 'A$',X82: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] :
( ( 'fun_app$f'('nt_abbrev$'(X82,'mapO$'('yFtor$'(X79),X81)),X80)
& 'member$i'(X81,'obj$b'(X79))
& 'functor_abbrev$'(X80,'oppositeCategory$'(X79),'set$')
& 'lSCategory$'(X79) )
=> ( 'yMapInv$'(X79,X81,X80,'yMap$'(X79,X81,X82)) = X82 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom46) ).
tff(axiom43,axiom,
'functor_abbrev$'('mapO$'('yFtor$'('c$'),'y$'),'oppositeCategory$'('c$'),'set$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom43) ).
tff(axiom39,axiom,
'fun_app$b'('elem$'('yMap$'('c$','x$','eta$')),'homSet$'('c$','x$','y$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom39) ).
tff(axiom37,axiom,
'member$i'('y$','obj$b'('c$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom37) ).
tff(axiom36,axiom,
'member$i'('x$','obj$b'('c$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom36) ).
tff(axiom35,axiom,
'lSCategory$'('c$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom35) ).
tff(c_0_10,plain,
! [X1496: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',X1497: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1498: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] :
( ( 'fun_app$f'('nt_abbrev$'(X1496,X1497),X1498)
| ( 'fun_app$v'('nTCod$c',X1496) != X1498 )
| ( 'fun_app$v'('nTDom$c',X1496) != X1497 )
| ~ 'fun_app$e'('natTrans$',X1496) )
& ( ~ 'fun_app$f'('nt_abbrev$'(X1496,X1497),X1498)
| ( 'fun_app$v'('nTCod$c',X1496) = X1498 ) )
& ( ~ 'fun_app$f'('nt_abbrev$'(X1496,X1497),X1498)
| ( 'fun_app$v'('nTDom$c',X1496) = X1497 ) )
& ( ~ 'fun_app$f'('nt_abbrev$'(X1496,X1497),X1498)
| 'fun_app$e'('natTrans$',X1496) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom522])])])]) ).
tff(c_0_11,negated_conjecture,
'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) != 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
inference(assume_negation,[status(cth)],[conjecture34]) ).
tcf(c_0_12,plain,
! [X12: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X10: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',X7: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] :
( ~ 'fun_app$f'('nt_abbrev$'(X10,X12),X7)
| ( 'fun_app$v'('nTCod$c',X10) = X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tcf(c_0_13,plain,
'fun_app$f'('nt_abbrev$'('eta$','mapO$'('yFtor$'('c$'),'x$')),'mapO$'('yFtor$'('c$'),'y$')),
inference(split_conjunct,[status(thm)],[axiom38]) ).
tff(c_0_14,negated_conjecture,
'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) != 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
tff(c_0_15,plain,
! [X1461: 'A_b_b_c_LSCategory_ext_Category_ext$',X1462: 'A$',X1463: 'A$',X1464: 'ZF$'] :
( ( ~ 'fun_app$b'('elem$'(X1464),'homSet$'(X1461,X1462,X1463))
| ~ 'member$i'(X1463,'obj$b'(X1461))
| ~ 'member$i'(X1462,'obj$b'(X1461))
| ~ 'lSCategory$'(X1461)
| ( 'fun_app$p'('mor2ZF$'(X1461),'zF2mor$'(X1461,X1464)) = X1464 ) )
& ( ~ 'fun_app$b'('elem$'(X1464),'homSet$'(X1461,X1462,X1463))
| ~ 'member$i'(X1463,'obj$b'(X1461))
| ~ 'member$i'(X1462,'obj$b'(X1461))
| ~ 'lSCategory$'(X1461)
| 'fun_app$l'('mapsTo$'(X1461,'zF2mor$'(X1461,X1464),X1462),X1463) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom71])])])]) ).
tff(c_0_16,plain,
! [X1425: 'A_b_b_c_LSCategory_ext_Category_ext$',X1426: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1427: 'A$',X1428: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] :
( ( 'yMapInv$'(X1425,X1427,X1426,'yMap$'(X1425,X1427,X1428)) = X1428 )
| ~ 'fun_app$f'('nt_abbrev$'(X1428,'mapO$'('yFtor$'(X1425),X1427)),X1426)
| ~ 'member$i'(X1427,'obj$b'(X1425))
| ~ 'functor_abbrev$'(X1426,'oppositeCategory$'(X1425),'set$')
| ~ 'lSCategory$'(X1425) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom46])])]) ).
tcf(c_0_17,plain,
'mapO$'('yFtor$'('c$'),'y$') = 'fun_app$v'('nTCod$c','eta$'),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
tcf(c_0_18,plain,
'functor_abbrev$'('mapO$'('yFtor$'('c$'),'y$'),'oppositeCategory$'('c$'),'set$'),
inference(split_conjunct,[status(thm)],[axiom43]) ).
tff(c_0_19,negated_conjecture,
'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) != 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
inference(fof_nnf,[status(thm)],[c_0_14]) ).
tcf(c_0_20,plain,
! [X1: 'ZF$',X6: 'A$',X31: 'A_b_b_c_LSCategory_ext_Category_ext$',X8: 'A$'] :
( ~ 'fun_app$b'('elem$'(X1),'homSet$'(X31,X6,X8))
| ~ 'member$i'(X8,'obj$b'(X31))
| ~ 'member$i'(X6,'obj$b'(X31))
| ~ 'lSCategory$'(X31)
| ( 'fun_app$p'('mor2ZF$'(X31),'zF2mor$'(X31,X1)) = X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_21,plain,
'fun_app$b'('elem$'('yMap$'('c$','x$','eta$')),'homSet$'('c$','x$','y$')),
inference(split_conjunct,[status(thm)],[axiom39]) ).
tcf(c_0_22,plain,
'member$i'('y$','obj$b'('c$')),
inference(split_conjunct,[status(thm)],[axiom37]) ).
tcf(c_0_23,plain,
'member$i'('x$','obj$b'('c$')),
inference(split_conjunct,[status(thm)],[axiom36]) ).
tcf(c_0_24,plain,
'lSCategory$'('c$'),
inference(split_conjunct,[status(thm)],[axiom35]) ).
tcf(c_0_25,plain,
! [X6: 'A$',X31: 'A_b_b_c_LSCategory_ext_Category_ext$',X10: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',X7: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] :
( ~ 'fun_app$f'('nt_abbrev$'(X10,'mapO$'('yFtor$'(X31),X6)),X7)
| ~ 'member$i'(X6,'obj$b'(X31))
| ~ 'functor_abbrev$'(X7,'oppositeCategory$'(X31),'set$')
| ~ 'lSCategory$'(X31)
| ( 'yMapInv$'(X31,X6,X7,'yMap$'(X31,X6,X10)) = X10 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
tcf(c_0_26,plain,
'fun_app$f'('nt_abbrev$'('eta$','mapO$'('yFtor$'('c$'),'x$')),'fun_app$v'('nTCod$c','eta$')),
inference(rw,[status(thm)],[c_0_13,c_0_17]) ).
tcf(c_0_27,plain,
'functor_abbrev$'('fun_app$v'('nTCod$c','eta$'),'oppositeCategory$'('c$'),'set$'),
inference(rw,[status(thm)],[c_0_18,c_0_17]) ).
tcf(c_0_28,negated_conjecture,
'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) != 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
tcf(c_0_29,plain,
'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$'))) = 'yMap$'('c$','x$','eta$'),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),c_0_24])]) ).
tcf(c_0_30,plain,
'yMapInv$'('c$','x$','fun_app$v'('nTCod$c','eta$'),'yMap$'('c$','x$','eta$')) = 'eta$',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_23]),c_0_27]),c_0_24])]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_17]),c_0_29]),c_0_30]),c_0_17]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP305_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.54 % Computer : n001.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Sun Sep 20 22:39:14 UTC 2026
% 0.11/0.54 % CPUTime :
% 0.11/0.54 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.58 Running first-order theorem proving
% 0.11/0.58 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.15/0.80 % Version: 3.5.1
% 0.15/0.80 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.80 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.80 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.80 % Starting sh5l with 300s (1) cores
% 0.15/0.80 % new_bool_3 with pid 1556925 completed with status 0
% 0.15/0.80 % Result found by new_bool_3
% 0.15/0.80 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.80 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.80 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.80 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.15/0.80 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.80 % Starting SubtermCWHack with 28s (1) cores
% 0.15/0.80 % SubtermCWHack with pid 1556935 completed with status 0
% 0.15/0.80 % Result found by SubtermCWHack
% 0.15/0.80 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.80 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.80 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.80 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.15/0.80 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.80 % Starting SubtermCWHack with 28s (1) cores
% 0.15/0.80 % Preprocessing time : 0.007 s
% 0.15/0.80
% 0.15/0.80 % Proof found!
% 0.15/0.80 % SZS status Theorem
% 0.15/0.80 % SZS output start CNFRefutation
% See solution above
% 0.15/0.80 % Parsed axioms : 1172
% 0.15/0.80 % Removed by relevancy pruning/SinE : 1008
% 0.15/0.80 % Initial clauses : 228
% 0.15/0.80 % Removed in clause preprocessing : 8
% 0.15/0.80 % Initial clauses in saturation : 220
% 0.15/0.80 % Processed clauses : 1111
% 0.15/0.80 % ...of these trivial : 40
% 0.15/0.80 % ...subsumed : 527
% 0.15/0.80 % ...remaining for further processing : 543
% 0.15/0.80 % Other redundant clauses eliminated : 30
% 0.15/0.80 % Clauses deleted for lack of memory : 0
% 0.15/0.80 % Backward-subsumed : 0
% 0.15/0.80 % Backward-rewritten : 27
% 0.15/0.80 % Generated clauses : 3259
% 0.15/0.80 % ...of the previous two non-redundant : 2632
% 0.15/0.80 % ...aggressively subsumed : 0
% 0.15/0.80 % Contextual simplify-reflections : 16
% 0.15/0.80 % Paramodulations : 3228
% 0.15/0.80 % Factorizations : 2
% 0.15/0.80 % NegExts : 0
% 0.15/0.80 % Equation resolutions : 35
% 0.15/0.80 % Disequality decompositions : 0
% 0.15/0.80 % Total rewrite steps : 3281
% 0.15/0.80 % ...of those cached : 3002
% 0.15/0.80 % Propositional unsat checks : 0
% 0.15/0.80 % Propositional check models : 0
% 0.15/0.80 % Propositional check unsatisfiable : 0
% 0.15/0.80 % Propositional clauses : 0
% 0.15/0.80 % Propositional clauses after purity: 0
% 0.15/0.80 % Propositional unsat core size : 0
% 0.15/0.80 % Propositional preprocessing time : 0.000
% 0.15/0.80 % Propositional encoding time : 0.000
% 0.15/0.80 % Propositional solver time : 0.000
% 0.15/0.80 % Success case prop preproc time : 0.000
% 0.15/0.80 % Success case prop encoding time : 0.000
% 0.15/0.80 % Success case prop solver time : 0.000
% 0.15/0.80 % Current number of processed clauses : 510
% 0.15/0.80 % Positive orientable unit clauses : 96
% 0.15/0.80 % Positive unorientable unit clauses: 0
% 0.15/0.80 % Negative unit clauses : 3
% 0.15/0.80 % Non-unit-clauses : 411
% 0.15/0.80 % Current number of unprocessed clauses: 1723
% 0.15/0.80 % ...number of literals in the above : 6849
% 0.15/0.80 % Current number of archived formulas : 0
% 0.15/0.80 % Current number of archived clauses : 27
% 0.15/0.80 % Clause-clause subsumption calls (NU) : 21065
% 0.15/0.80 % Rec. Clause-clause subsumption calls : 12247
% 0.15/0.80 % Non-unit clause-clause subsumptions : 539
% 0.15/0.80 % Unit Clause-clause subsumption calls : 380
% 0.15/0.80 % Rewrite failures with RHS unbound : 0
% 0.15/0.80 % BW rewrite match attempts : 27
% 0.15/0.80 % BW rewrite match successes : 9
% 0.15/0.80 % Condensation attempts : 0
% 0.15/0.80 % Condensation successes : 0
% 0.15/0.80 % Termbank termtop insertions : 109220
% 0.15/0.80 % Search garbage collected termcells : 11045
% 0.15/0.80
% 0.15/0.80 % -------------------------------------------------
% 0.15/0.80 % User time : 0.136 s
% 0.15/0.80 % System time : 0.014 s
% 0.15/0.80 % Total time : 0.150 s
% 0.15/0.80 % Maximum resident set size: 6808 pages
% 0.15/0.80
% 0.15/0.80 % -------------------------------------------------
% 0.15/0.80 % User time : 0.182 s
% 0.15/0.80 % System time : 0.020 s
% 0.15/0.80 % Total time : 0.202 s
% 0.15/0.80 % Maximum resident set size: 6912 pages
% 0.15/0.80 % E exiting
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