TSTP Solution File: ITP010^2 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : ITP010^2 : TPTP v7.5.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n012.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
% DateTime : Sun Mar 21 13:23:38 EDT 2021

% Result   : Unknown 0.47s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : ITP010^2 : TPTP v7.5.0. Bugfixed v7.5.0.
% 0.08/0.12  % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32  % Computer : n012.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % DateTime : Thu Mar 18 22:34:30 EDT 2021
% 0.12/0.32  % CPUTime  : 
% 0.12/0.33  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.33  Python 2.7.5
% 0.39/0.61  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.39/0.61  Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/ITP001/ITP001^2.ax, trying next directory
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x29c6ef0>, <kernel.Type object at 0x29c6e18>) of role type named del_tp
% 0.39/0.61  Using role type
% 0.39/0.61  Declaring del:Type
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x285af38>, <kernel.Constant object at 0x29c6ea8>) of role type named bool
% 0.39/0.61  Using role type
% 0.39/0.61  Declaring bool:del
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x29c6d40>, <kernel.Constant object at 0x29c6ea8>) of role type named ind
% 0.39/0.61  Using role type
% 0.39/0.61  Declaring ind:del
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x29c6ef0>, <kernel.DependentProduct object at 0x29c6c20>) of role type named arr
% 0.39/0.61  Using role type
% 0.39/0.61  Declaring arr:(del->(del->del))
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x29c6c68>, <kernel.DependentProduct object at 0x29c6c20>) of role type named mem
% 0.39/0.61  Using role type
% 0.39/0.61  Declaring mem:(fofType->(del->Prop))
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x29c6d40>, <kernel.DependentProduct object at 0x29c6ef0>) of role type named ap
% 0.39/0.61  Using role type
% 0.39/0.61  Declaring ap:(fofType->(fofType->fofType))
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x29c6b00>, <kernel.DependentProduct object at 0x29c6a28>) of role type named lam
% 0.39/0.61  Using role type
% 0.39/0.61  Declaring lam:(del->((fofType->fofType)->fofType))
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x29c6d88>, <kernel.DependentProduct object at 0x29c6c20>) of role type named p
% 0.39/0.61  Using role type
% 0.39/0.61  Declaring p:(fofType->Prop)
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x29c6ef0>, <kernel.DependentProduct object at 0x29c6b90>) of role type named stp_inj_o
% 0.39/0.61  Using role type
% 0.39/0.61  Declaring inj__o:(Prop->fofType)
% 0.39/0.61  FOF formula (forall (X:Prop), (((eq Prop) (p (inj__o X))) X)) of role axiom named stp_inj_surj_o
% 0.39/0.61  A new axiom: (forall (X:Prop), (((eq Prop) (p (inj__o X))) X))
% 0.39/0.61  FOF formula (forall (X:Prop), ((mem (inj__o X)) bool)) of role axiom named stp_inj_mem_o
% 0.39/0.61  A new axiom: (forall (X:Prop), ((mem (inj__o X)) bool))
% 0.39/0.61  FOF formula (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X))))) of role axiom named stp_iso_mem_o
% 0.39/0.61  A new axiom: (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X)))))
% 0.39/0.61  FOF formula (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (X:fofType), (((mem X) A)->((mem ((ap F) X)) B))))) of role axiom named ap_tp
% 0.39/0.61  A new axiom: (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (X:fofType), (((mem X) A)->((mem ((ap F) X)) B)))))
% 0.39/0.61  FOF formula (forall (A:del) (B:del) (F:(fofType->fofType)), ((forall (X:fofType), (((mem X) A)->((mem (F X)) B)))->((mem ((lam A) F)) ((arr A) B)))) of role axiom named lam_tp
% 0.39/0.61  A new axiom: (forall (A:del) (B:del) (F:(fofType->fofType)), ((forall (X:fofType), (((mem X) A)->((mem (F X)) B)))->((mem ((lam A) F)) ((arr A) B))))
% 0.39/0.61  FOF formula (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (G:fofType), (((mem G) ((arr A) B))->((forall (X:fofType), (((mem X) A)->(((eq fofType) ((ap F) X)) ((ap G) X))))->(((eq fofType) F) G)))))) of role axiom named funcext
% 0.39/0.61  A new axiom: (forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (G:fofType), (((mem G) ((arr A) B))->((forall (X:fofType), (((mem X) A)->(((eq fofType) ((ap F) X)) ((ap G) X))))->(((eq fofType) F) G))))))
% 0.39/0.61  FOF formula (forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X)))) of role axiom named beta
% 0.39/0.61  A new axiom: (forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X))))
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x285f4d0>, <kernel.Single object at 0x285f638>) of role type named tp_c_2Ebool_2ET
% 0.39/0.61  Using role type
% 0.39/0.61  Declaring c_2Ebool_2ET:fofType
% 0.39/0.61  FOF formula ((mem c_2Ebool_2ET) bool) of role axiom named mem_c_2Ebool_2ET
% 0.39/0.61  A new axiom: ((mem c_2Ebool_2ET) bool)
% 0.39/0.61  FOF formula (p c_2Ebool_2ET) of role axiom named ax_true_p
% 0.39/0.61  A new axiom: (p c_2Ebool_2ET)
% 0.39/0.61  FOF formula (<kernel.Constant object at 0x285f638>, <kernel.DependentProduct object at 0x2adfe470bef0>) of role type named tp_c_2Ecardinal_2Ecardleq
% 0.39/0.62  Using role type
% 0.39/0.62  Declaring c_2Ecardinal_2Ecardleq:(del->(del->fofType))
% 0.39/0.62  FOF formula (forall (A_27a:del) (A_27b:del), ((mem ((c_2Ecardinal_2Ecardleq A_27a) A_27b)) ((arr ((arr A_27a) bool)) ((arr ((arr A_27b) bool)) bool)))) of role axiom named mem_c_2Ecardinal_2Ecardleq
% 0.39/0.62  A new axiom: (forall (A_27a:del) (A_27b:del), ((mem ((c_2Ecardinal_2Ecardleq A_27a) A_27b)) ((arr ((arr A_27a) bool)) ((arr ((arr A_27b) bool)) bool))))
% 0.39/0.62  FOF formula (<kernel.Constant object at 0x285af38>, <kernel.Single object at 0x2adfe470ca70>) of role type named tp_c_2Ebool_2EF
% 0.39/0.62  Using role type
% 0.39/0.62  Declaring c_2Ebool_2EF:fofType
% 0.39/0.62  FOF formula ((mem c_2Ebool_2EF) bool) of role axiom named mem_c_2Ebool_2EF
% 0.39/0.62  A new axiom: ((mem c_2Ebool_2EF) bool)
% 0.39/0.62  FOF formula ((p c_2Ebool_2EF)->False) of role axiom named ax_false_p
% 0.39/0.62  A new axiom: ((p c_2Ebool_2EF)->False)
% 0.39/0.62  FOF formula (<kernel.Constant object at 0x2adfe46f7d88>, <kernel.Single object at 0x2adfe470bef0>) of role type named tp_c_2Emin_2E_3D_3D_3E
% 0.39/0.62  Using role type
% 0.39/0.62  Declaring c_2Emin_2E_3D_3D_3E:fofType
% 0.39/0.62  FOF formula ((mem c_2Emin_2E_3D_3D_3E) ((arr bool) ((arr bool) bool))) of role axiom named mem_c_2Emin_2E_3D_3D_3E
% 0.39/0.62  A new axiom: ((mem c_2Emin_2E_3D_3D_3E) ((arr bool) ((arr bool) bool)))
% 0.39/0.62  FOF formula (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Emin_2E_3D_3D_3E) Q)) R))) ((p Q)->(p R))))))) of role axiom named ax_imp_p
% 0.39/0.62  A new axiom: (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Emin_2E_3D_3D_3E) Q)) R))) ((p Q)->(p R)))))))
% 0.39/0.62  FOF formula (<kernel.Constant object at 0x2adfe470b368>, <kernel.Single object at 0x2adfe470b320>) of role type named tp_c_2Ebool_2E_5C_2F
% 0.39/0.62  Using role type
% 0.39/0.62  Declaring c_2Ebool_2E_5C_2F:fofType
% 0.39/0.62  FOF formula ((mem c_2Ebool_2E_5C_2F) ((arr bool) ((arr bool) bool))) of role axiom named mem_c_2Ebool_2E_5C_2F
% 0.39/0.62  A new axiom: ((mem c_2Ebool_2E_5C_2F) ((arr bool) ((arr bool) bool)))
% 0.39/0.62  FOF formula (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_5C_2F) Q)) R))) ((or (p Q)) (p R))))))) of role axiom named ax_or_p
% 0.39/0.62  A new axiom: (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_5C_2F) Q)) R))) ((or (p Q)) (p R)))))))
% 0.39/0.62  FOF formula (<kernel.Constant object at 0x2863e60>, <kernel.Single object at 0x2adfe470b560>) of role type named tp_c_2Ebool_2E_2F_5C
% 0.39/0.62  Using role type
% 0.39/0.62  Declaring c_2Ebool_2E_2F_5C:fofType
% 0.39/0.62  FOF formula ((mem c_2Ebool_2E_2F_5C) ((arr bool) ((arr bool) bool))) of role axiom named mem_c_2Ebool_2E_2F_5C
% 0.39/0.62  A new axiom: ((mem c_2Ebool_2E_2F_5C) ((arr bool) ((arr bool) bool)))
% 0.39/0.62  FOF formula (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_2F_5C) Q)) R))) ((and (p Q)) (p R))))))) of role axiom named ax_and_p
% 0.39/0.62  A new axiom: (forall (Q:fofType), (((mem Q) bool)->(forall (R:fofType), (((mem R) bool)->((iff (p ((ap ((ap c_2Ebool_2E_2F_5C) Q)) R))) ((and (p Q)) (p R)))))))
% 0.39/0.62  FOF formula (<kernel.Constant object at 0x2adfe470b560>, <kernel.Single object at 0x2adfe46eef38>) of role type named tp_c_2Ebool_2E_7E
% 0.39/0.62  Using role type
% 0.39/0.62  Declaring c_2Ebool_2E_7E:fofType
% 0.39/0.62  FOF formula ((mem c_2Ebool_2E_7E) ((arr bool) bool)) of role axiom named mem_c_2Ebool_2E_7E
% 0.39/0.62  A new axiom: ((mem c_2Ebool_2E_7E) ((arr bool) bool))
% 0.39/0.62  FOF formula (forall (Q:fofType), (((mem Q) bool)->((iff (p ((ap c_2Ebool_2E_7E) Q))) ((p Q)->False)))) of role axiom named ax_neg_p
% 0.39/0.62  A new axiom: (forall (Q:fofType), (((mem Q) bool)->((iff (p ((ap c_2Ebool_2E_7E) Q))) ((p Q)->False))))
% 0.39/0.62  FOF formula (<kernel.Constant object at 0x2adfe46ee950>, <kernel.DependentProduct object at 0x29c6e60>) of role type named tp_c_2Emin_2E_3D
% 0.39/0.62  Using role type
% 0.39/0.62  Declaring c_2Emin_2E_3D:(del->fofType)
% 0.39/0.62  FOF formula (forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool)))) of role axiom named mem_c_2Emin_2E_3D
% 0.39/0.62  A new axiom: (forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool))))
% 0.39/0.62  FOF formula (forall (A:del) (X:fofType), (((mem X) A)->(forall (Y:fofType), (((mem Y) A)->((iff (p ((ap ((ap (c_2Emin_2E_3D A)) X)) Y))) (((eq fofType) X) Y)))))) of role axiom named ax_eq_p
% 0.47/0.63  A new axiom: (forall (A:del) (X:fofType), (((mem X) A)->(forall (Y:fofType), (((mem Y) A)->((iff (p ((ap ((ap (c_2Emin_2E_3D A)) X)) Y))) (((eq fofType) X) Y))))))
% 0.47/0.63  FOF formula (<kernel.Constant object at 0x2adfdcc12518>, <kernel.DependentProduct object at 0x29c69e0>) of role type named tp_c_2Ebool_2E_21
% 0.47/0.63  Using role type
% 0.47/0.63  Declaring c_2Ebool_2E_21:(del->fofType)
% 0.47/0.63  FOF formula (forall (A_27a:del), ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool))) of role axiom named mem_c_2Ebool_2E_21
% 0.47/0.63  A new axiom: (forall (A_27a:del), ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool)))
% 0.47/0.63  FOF formula (forall (A:del) (Q:fofType), (((mem Q) ((arr A) bool))->((iff (p ((ap (c_2Ebool_2E_21 A)) Q))) (forall (X:fofType), (((mem X) A)->(p ((ap Q) X))))))) of role axiom named ax_all_p
% 0.47/0.63  A new axiom: (forall (A:del) (Q:fofType), (((mem Q) ((arr A) bool))->((iff (p ((ap (c_2Ebool_2E_21 A)) Q))) (forall (X:fofType), (((mem X) A)->(p ((ap Q) X)))))))
% 0.47/0.63  FOF formula True of role axiom named conj_thm_2Ebool_2ETRUTH
% 0.47/0.63  A new axiom: True
% 0.47/0.63  FOF formula (forall (V0t:fofType), (((mem V0t) bool)->(False->(p V0t)))) of role axiom named conj_thm_2Ebool_2EFALSITY
% 0.47/0.63  A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->(False->(p V0t))))
% 0.47/0.63  FOF formula (forall (A_27a:del) (V0t:fofType), (((mem V0t) bool)->((iff (forall (V1x:fofType), (((mem V1x) A_27a)->(p V0t)))) (p V0t)))) of role axiom named conj_thm_2Ebool_2EFORALL__SIMP
% 0.47/0.63  A new axiom: (forall (A_27a:del) (V0t:fofType), (((mem V0t) bool)->((iff (forall (V1x:fofType), (((mem V1x) A_27a)->(p V0t)))) (p V0t))))
% 0.47/0.63  FOF formula (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff (True->(p V0t))) (p V0t))) ((iff ((p V0t)->True)) True))) ((iff (False->(p V0t))) True))) ((iff ((p V0t)->(p V0t))) True))) ((iff ((p V0t)->False)) ((p V0t)->False))))) of role axiom named conj_thm_2Ebool_2EIMP__CLAUSES
% 0.47/0.63  A new axiom: (forall (V0t:fofType), (((mem V0t) bool)->((and ((and ((and ((and ((iff (True->(p V0t))) (p V0t))) ((iff ((p V0t)->True)) True))) ((iff (False->(p V0t))) True))) ((iff ((p V0t)->(p V0t))) True))) ((iff ((p V0t)->False)) ((p V0t)->False)))))
% 0.47/0.63  <<<l_2ENOT__CLAUSES,axiom,
% 0.47/0.63      ( ! [V0t: $i] :
% 0.47/0.63          ( ( mem @ V0t @ bool )
% 0.47/0.63         => ( ~ ~>>>!!!<<< ( p @ V0t )
% 0.47/0.63          <=> ( p @ V0t ) ) )
% 0.47/0.63      & ( ~ $true
% 0.47/0.63      <=> $false )
% 0.47/0.63      & ( ~ $false>>>
% 0.47/0.63  statestack=[0, 2]
% 0.47/0.63  symstack=[$end, TPTP_file_post]
% 0.47/0.63  Unexpected exception Syntax error at '~':TILDE
% 0.47/0.63  Traceback (most recent call last):
% 0.47/0.63    File "CASC.py", line 79, in <module>
% 0.47/0.63      problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.47/0.63    File "/export/starexec/sandbox/solver/bin/TPTP.py", line 38, in __init__
% 0.47/0.63      parser.parse(file.read(),debug=0,lexer=lexer)
% 0.47/0.63    File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 265, in parse
% 0.47/0.63      return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.47/0.63    File "/export/starexec/sandbox/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.47/0.63      tok = self.errorfunc(errtoken)
% 0.47/0.63    File "/export/starexec/sandbox/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.47/0.63      raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.47/0.63  TPTPparser.TPTPParsingError: Syntax error at '~':TILDE
%------------------------------------------------------------------------------