TSTP Solution File: SYO076^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO076^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 : 0s
% DateTime : Tue Mar 29 00:50:36 EDT 2022
% Result : Theorem 0.18s 0.56s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO076^5 : TPTP v7.5.0. Released v4.0.0.
% 0.11/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % RAMPerCPU : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Fri Mar 11 14:23:57 EST 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.33 Python 2.7.5
% 0.18/0.56 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.18/0.56 FOF formula (<kernel.Constant object at 0xdc0d88>, <kernel.Sort object at 0x2ac94c020638>) of role type named cQ
% 0.18/0.56 Using role type
% 0.18/0.56 Declaring cQ:Prop
% 0.18/0.56 FOF formula (<kernel.Constant object at 0xdc0e60>, <kernel.Sort object at 0x2ac94c020638>) of role type named cP
% 0.18/0.56 Using role type
% 0.18/0.56 Declaring cP:Prop
% 0.18/0.56 FOF formula (((and cP) (cP->cQ))->cQ) of role conjecture named cTHM114
% 0.18/0.56 Conjecture to prove = (((and cP) (cP->cQ))->cQ):Prop
% 0.18/0.56 We need to prove ['(((and cP) (cP->cQ))->cQ)']
% 0.18/0.56 Parameter cQ:Prop.
% 0.18/0.56 Parameter cP:Prop.
% 0.18/0.56 Trying to prove (((and cP) (cP->cQ))->cQ)
% 0.18/0.56 Found x0:cP
% 0.18/0.56 Found x0 as proof of cP
% 0.18/0.56 Found (x1 x0) as proof of cQ
% 0.18/0.56 Found (fun (x1:(cP->cQ))=> (x1 x0)) as proof of cQ
% 0.18/0.56 Found (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0)) as proof of ((cP->cQ)->cQ)
% 0.18/0.56 Found (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0)) as proof of (cP->((cP->cQ)->cQ))
% 0.18/0.56 Found (and_rect00 (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0))) as proof of cQ
% 0.18/0.56 Found ((and_rect0 cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0))) as proof of cQ
% 0.18/0.56 Found (((fun (P:Type) (x0:(cP->((cP->cQ)->P)))=> (((((and_rect cP) (cP->cQ)) P) x0) x)) cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0))) as proof of cQ
% 0.18/0.56 Found (fun (x:((and cP) (cP->cQ)))=> (((fun (P:Type) (x0:(cP->((cP->cQ)->P)))=> (((((and_rect cP) (cP->cQ)) P) x0) x)) cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0)))) as proof of cQ
% 0.18/0.56 Found (fun (x:((and cP) (cP->cQ)))=> (((fun (P:Type) (x0:(cP->((cP->cQ)->P)))=> (((((and_rect cP) (cP->cQ)) P) x0) x)) cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0)))) as proof of (((and cP) (cP->cQ))->cQ)
% 0.18/0.56 Got proof (fun (x:((and cP) (cP->cQ)))=> (((fun (P:Type) (x0:(cP->((cP->cQ)->P)))=> (((((and_rect cP) (cP->cQ)) P) x0) x)) cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0))))
% 0.18/0.56 Time elapsed = 0.029662s
% 0.18/0.56 node=10 cost=81.000000 depth=9
% 0.18/0.56 ::::::::::::::::::::::
% 0.18/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.56 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.56 (fun (x:((and cP) (cP->cQ)))=> (((fun (P:Type) (x0:(cP->((cP->cQ)->P)))=> (((((and_rect cP) (cP->cQ)) P) x0) x)) cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0))))
% 0.18/0.56 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------