%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : ITP001^2 : TPTP v7.5.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 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 % DateTime : Sun Mar 21 13:23:27 EDT 2021 % Result : Theorem 0.48s % Output : Proof 0.48s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : ITP001^2 : TPTP v7.5.0. Bugfixed v7.5.0. % 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n004.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 % DateTime : Thu Mar 18 19:07:58 EDT 2021 % 0.12/0.33 % CPUTime : % 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.34 Python 2.7.5 % 0.40/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.40/0.61 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/ITP001/ITP001^2.ax, trying next directory % 0.40/0.61 FOF formula (<kernel.Constant object at 0x24247a0>, <kernel.Type object at 0x24245a8>) of role type named del_tp % 0.40/0.61 Using role type % 0.40/0.61 Declaring del:Type % 0.40/0.61 FOF formula (<kernel.Constant object at 0x2b73b9941560>, <kernel.Constant object at 0x24247e8>) of role type named bool % 0.40/0.61 Using role type % 0.40/0.61 Declaring bool:del % 0.40/0.61 FOF formula (<kernel.Constant object at 0x2424f80>, <kernel.Constant object at 0x24247e8>) of role type named ind % 0.40/0.61 Using role type % 0.40/0.61 Declaring ind:del % 0.40/0.61 FOF formula (<kernel.Constant object at 0x24247a0>, <kernel.DependentProduct object at 0x24243b0>) of role type named arr % 0.40/0.61 Using role type % 0.40/0.61 Declaring arr:(del->(del->del)) % 0.40/0.61 FOF formula (<kernel.Constant object at 0x2424fc8>, <kernel.DependentProduct object at 0x24243b0>) of role type named mem % 0.40/0.61 Using role type % 0.40/0.61 Declaring mem:(fofType->(del->Prop)) % 0.40/0.61 FOF formula (<kernel.Constant object at 0x2424f80>, <kernel.DependentProduct object at 0x24247a0>) of role type named ap % 0.40/0.61 Using role type % 0.40/0.61 Declaring ap:(fofType->(fofType->fofType)) % 0.40/0.61 FOF formula (<kernel.Constant object at 0x2424950>, <kernel.DependentProduct object at 0x2424f38>) of role type named lam % 0.40/0.61 Using role type % 0.40/0.61 Declaring lam:(del->((fofType->fofType)->fofType)) % 0.40/0.61 FOF formula (<kernel.Constant object at 0x2424638>, <kernel.DependentProduct object at 0x24243b0>) of role type named p % 0.40/0.61 Using role type % 0.40/0.61 Declaring p:(fofType->Prop) % 0.40/0.61 FOF formula (<kernel.Constant object at 0x24247a0>, <kernel.DependentProduct object at 0x2424b90>) of role type named stp_inj_o % 0.40/0.61 Using role type % 0.40/0.61 Declaring inj__o:(Prop->fofType) % 0.40/0.61 FOF formula (forall (X:Prop), (((eq Prop) (p (inj__o X))) X)) of role axiom named stp_inj_surj_o % 0.40/0.61 A new axiom: (forall (X:Prop), (((eq Prop) (p (inj__o X))) X)) % 0.40/0.61 FOF formula (forall (X:Prop), ((mem (inj__o X)) bool)) of role axiom named stp_inj_mem_o % 0.40/0.61 A new axiom: (forall (X:Prop), ((mem (inj__o X)) bool)) % 0.40/0.61 FOF formula (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X))))) of role axiom named stp_iso_mem_o % 0.40/0.61 A new axiom: (forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X))))) % 0.40/0.61 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 % 0.40/0.61 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))))) % 0.40/0.61 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 % 0.40/0.61 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)))) % 0.40/0.61 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 % 0.40/0.61 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)))))) % 0.40/0.61 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 % 0.40/0.61 A new axiom: (forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X)))) % 0.40/0.61 FOF formula (<kernel.Constant object at 0x24293f8>, <kernel.Single object at 0x2429440>) of role type named tp_c_2Ebool_2ET % 0.40/0.61 Using role type % 0.40/0.61 Declaring c_2Ebool_2ET:fofType % 0.40/0.61 FOF formula ((mem c_2Ebool_2ET) bool) of role axiom named mem_c_2Ebool_2ET % 0.40/0.61 A new axiom: ((mem c_2Ebool_2ET) bool) % 0.40/0.61 FOF formula (p c_2Ebool_2ET) of role axiom named ax_true_p % 0.40/0.61 A new axiom: (p c_2Ebool_2ET) % 0.40/0.61 FOF formula (<kernel.Constant object at 0x2429440>, <kernel.DependentProduct object at 0x2b73c14377e8>) of role type named tp_c_2Emin_2E_3D % 0.48/0.63 Using role type % 0.48/0.63 Declaring c_2Emin_2E_3D:(del->fofType) % 0.48/0.63 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 % 0.48/0.63 A new axiom: (forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool)))) % 0.48/0.63 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 % 0.48/0.63 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)))))) % 0.48/0.63 FOF formula ((iff True) (((eq fofType) ((lam bool) (fun (V0x:fofType)=> V0x))) ((lam bool) (fun (V1x:fofType)=> V1x)))) of role axiom named ax_thm_2Ebool_2ET__DEF % 0.48/0.63 A new axiom: ((iff True) (((eq fofType) ((lam bool) (fun (V0x:fofType)=> V0x))) ((lam bool) (fun (V1x:fofType)=> V1x)))) % 0.48/0.63 FOF formula True of role conjecture named conj_thm_2Ebool_2ETRUTH % 0.48/0.63 Conjecture to prove = True:Prop % 0.48/0.63 We need to prove ['True'] % 0.48/0.63 Parameter del:Type. % 0.48/0.63 Parameter bool:del. % 0.48/0.63 Parameter ind:del. % 0.48/0.63 Parameter arr:(del->(del->del)). % 0.48/0.63 Parameter fofType:Type. % 0.48/0.63 Parameter mem:(fofType->(del->Prop)). % 0.48/0.63 Parameter ap:(fofType->(fofType->fofType)). % 0.48/0.63 Parameter lam:(del->((fofType->fofType)->fofType)). % 0.48/0.63 Parameter p:(fofType->Prop). % 0.48/0.63 Parameter inj__o:(Prop->fofType). % 0.48/0.63 Axiom stp_inj_surj_o:(forall (X:Prop), (((eq Prop) (p (inj__o X))) X)). % 0.48/0.63 Axiom stp_inj_mem_o:(forall (X:Prop), ((mem (inj__o X)) bool)). % 0.48/0.63 Axiom stp_iso_mem_o:(forall (X:fofType), (((mem X) bool)->(((eq fofType) X) (inj__o (p X))))). % 0.48/0.63 Axiom ap_tp:(forall (A:del) (B:del) (F:fofType), (((mem F) ((arr A) B))->(forall (X:fofType), (((mem X) A)->((mem ((ap F) X)) B))))). % 0.48/0.63 Axiom lam_tp:(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)))). % 0.48/0.63 Axiom funcext:(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)))))). % 0.48/0.63 Axiom beta:(forall (A:del) (F:(fofType->fofType)) (X:fofType), (((mem X) A)->(((eq fofType) ((ap ((lam A) F)) X)) (F X)))). % 0.48/0.63 Parameter c_2Ebool_2ET:fofType. % 0.48/0.63 Axiom mem_c_2Ebool_2ET:((mem c_2Ebool_2ET) bool). % 0.48/0.63 Axiom ax_true_p:(p c_2Ebool_2ET). % 0.48/0.63 Parameter c_2Emin_2E_3D:(del->fofType). % 0.48/0.63 Axiom mem_c_2Emin_2E_3D:(forall (A_27a:del), ((mem (c_2Emin_2E_3D A_27a)) ((arr A_27a) ((arr A_27a) bool)))). % 0.48/0.63 Axiom ax_eq_p:(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)))))). % 0.48/0.63 Axiom ax_thm_2Ebool_2ET__DEF:((iff True) (((eq fofType) ((lam bool) (fun (V0x:fofType)=> V0x))) ((lam bool) (fun (V1x:fofType)=> V1x)))). % 0.48/0.63 Trying to prove True % 0.48/0.63 Found I:True % 0.48/0.63 Found I as proof of True % 0.48/0.63 Got proof I % 0.48/0.63 Time elapsed = 0.000155s % 0.48/0.63 node=0 cost=0.000000 depth=0 % 0.48/0.63:::::::::::::::::::::: % 0.48/0.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.48/0.63 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.48/0.63 I % 0.48/0.63 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------