TSTP Solution File: SYO085^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO085^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 00:50:37 EDT 2022
% Result : Theorem 2.93s 3.15s
% Output : Proof 2.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO085^5 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 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 : Fri Mar 11 14:40:12 EST 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 1.59/1.80 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 1.59/1.80 FOF formula (<kernel.Constant object at 0x122cf80>, <kernel.Sort object at 0x2b848089d638>) of role type named d
% 1.59/1.80 Using role type
% 1.59/1.80 Declaring d:Prop
% 1.59/1.80 FOF formula (<kernel.Constant object at 0x122c4d0>, <kernel.Sort object at 0x2b848089d638>) of role type named c
% 1.59/1.80 Using role type
% 1.59/1.80 Declaring c:Prop
% 1.59/1.80 FOF formula (<kernel.Constant object at 0x122c050>, <kernel.Sort object at 0x2b848089d638>) of role type named b
% 1.59/1.80 Using role type
% 1.59/1.80 Declaring b:Prop
% 1.59/1.80 FOF formula (<kernel.Constant object at 0x122ce18>, <kernel.Sort object at 0x2b848089d638>) of role type named a
% 1.59/1.80 Using role type
% 1.59/1.80 Declaring a:Prop
% 1.59/1.80 FOF formula (<kernel.Constant object at 0x122c248>, <kernel.Sort object at 0x2b848089d638>) of role type named s
% 1.59/1.80 Using role type
% 1.59/1.80 Declaring s:Prop
% 1.59/1.80 FOF formula (((or ((or (((and c) d)->False)) (((and a) b)->False))) s)->((or ((or s) (((and a) b)->False))) (((and c) d)->False))) of role conjecture named cCOM_DMG02
% 1.59/1.80 Conjecture to prove = (((or ((or (((and c) d)->False)) (((and a) b)->False))) s)->((or ((or s) (((and a) b)->False))) (((and c) d)->False))):Prop
% 1.59/1.80 We need to prove ['(((or ((or (((and c) d)->False)) (((and a) b)->False))) s)->((or ((or s) (((and a) b)->False))) (((and c) d)->False)))']
% 1.59/1.80 Parameter d:Prop.
% 1.59/1.80 Parameter c:Prop.
% 1.59/1.80 Parameter b:Prop.
% 1.59/1.80 Parameter a:Prop.
% 1.59/1.80 Parameter s:Prop.
% 1.59/1.80 Trying to prove (((or ((or (((and c) d)->False)) (((and a) b)->False))) s)->((or ((or s) (((and a) b)->False))) (((and c) d)->False)))
% 1.59/1.80 Found or_introl10:=(or_introl1 (((and a) b)->False)):(s->((or s) (((and a) b)->False)))
% 1.59/1.80 Found (or_introl1 (((and a) b)->False)) as proof of (s->((or s) (((and a) b)->False)))
% 1.59/1.80 Found ((or_introl s) (((and a) b)->False)) as proof of (s->((or s) (((and a) b)->False)))
% 1.59/1.80 Found ((or_introl s) (((and a) b)->False)) as proof of (s->((or s) (((and a) b)->False)))
% 1.59/1.80 Found or_introl10:=(or_introl1 (not ((and a) b))):(s->((or s) (not ((and a) b))))
% 1.59/1.80 Found (or_introl1 (not ((and a) b))) as proof of (s->((or s) (not ((and a) b))))
% 1.59/1.80 Found ((or_introl s) (not ((and a) b))) as proof of (s->((or s) (not ((and a) b))))
% 1.59/1.80 Found ((or_introl s) (not ((and a) b))) as proof of (s->((or s) (not ((and a) b))))
% 1.59/1.80 Found or_intror00:=(or_intror0 (((and a) b)->False)):((((and a) b)->False)->((or s) (((and a) b)->False)))
% 1.59/1.80 Found (or_intror0 (((and a) b)->False)) as proof of ((((and a) b)->False)->((or s) (((and a) b)->False)))
% 1.59/1.80 Found ((or_intror s) (((and a) b)->False)) as proof of ((((and a) b)->False)->((or s) (((and a) b)->False)))
% 1.59/1.80 Found ((or_intror s) (((and a) b)->False)) as proof of ((((and a) b)->False)->((or s) (((and a) b)->False)))
% 1.59/1.80 Found or_intror00:=(or_intror0 (((and c) d)->False)):((((and c) d)->False)->((or ((or s) (((and a) b)->False))) (((and c) d)->False)))
% 1.59/1.80 Found (or_intror0 (((and c) d)->False)) as proof of ((((and c) d)->False)->((or ((or s) (((and a) b)->False))) (((and c) d)->False)))
% 1.59/1.80 Found ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False)) as proof of ((((and c) d)->False)->((or ((or s) (((and a) b)->False))) (((and c) d)->False)))
% 1.59/1.80 Found ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False)) as proof of ((((and c) d)->False)->((or ((or s) (((and a) b)->False))) (((and c) d)->False)))
% 1.59/1.80 Found or_intror00:=(or_intror0 (not ((and a) b))):((not ((and a) b))->((or s) (not ((and a) b))))
% 1.59/1.80 Found (or_intror0 (not ((and a) b))) as proof of ((not ((and a) b))->((or s) (not ((and a) b))))
% 1.59/1.80 Found ((or_intror s) (not ((and a) b))) as proof of ((not ((and a) b))->((or s) (not ((and a) b))))
% 1.59/1.80 Found ((or_intror s) (not ((and a) b))) as proof of ((not ((and a) b))->((or s) (not ((and a) b))))
% 1.59/1.80 Found or_intror00:=(or_intror0 (not ((and c) d))):((not ((and c) d))->((or ((or s) (not ((and a) b)))) (not ((and c) d))))
% 1.59/1.80 Found (or_intror0 (not ((and c) d))) as proof of ((not ((and c) d))->((or ((or s) (not ((and a) b)))) (not ((and c) d))))
% 1.59/1.80 Found ((or_intror ((or s) (not ((and a) b)))) (not ((and c) d))) as proof of ((not ((and c) d))->((or ((or s) (not ((and a) b)))) (not ((and c) d))))
% 1.59/1.80 Found ((or_intror ((or s) (not ((and a) b)))) (not ((and c) d))) as proof of ((not ((and c) d))->((or ((or s) (not ((and a) b)))) (not ((and c) d))))
% 2.62/2.82 Found or_intror00:=(or_intror0 s):(s->((or (((and a) b)->False)) s))
% 2.62/2.82 Found (or_intror0 s) as proof of (s->((or (((and a) b)->False)) s))
% 2.62/2.82 Found ((or_intror (((and a) b)->False)) s) as proof of (s->((or (((and a) b)->False)) s))
% 2.62/2.82 Found ((or_intror (((and a) b)->False)) s) as proof of (s->((or (((and a) b)->False)) s))
% 2.62/2.82 Found or_introl00:=(or_introl0 (((and a) b)->False)):(s->((or s) (((and a) b)->False)))
% 2.62/2.82 Found (or_introl0 (((and a) b)->False)) as proof of (s->((or s) (((and a) b)->False)))
% 2.62/2.82 Found ((or_introl s) (((and a) b)->False)) as proof of (s->((or s) (((and a) b)->False)))
% 2.62/2.82 Found ((or_introl s) (((and a) b)->False)) as proof of (s->((or s) (((and a) b)->False)))
% 2.62/2.82 Found x0:s
% 2.62/2.82 Found (fun (x0:s)=> x0) as proof of s
% 2.62/2.82 Found (fun (x0:s)=> x0) as proof of (s->s)
% 2.62/2.82 Found or_intror00:=(or_intror0 s):(s->((or (not ((and a) b))) s))
% 2.62/2.82 Found (or_intror0 s) as proof of (s->((or (not ((and a) b))) s))
% 2.62/2.82 Found ((or_intror (not ((and a) b))) s) as proof of (s->((or (not ((and a) b))) s))
% 2.62/2.82 Found ((or_intror (not ((and a) b))) s) as proof of (s->((or (not ((and a) b))) s))
% 2.62/2.82 Found or_introl00:=(or_introl0 (not ((and a) b))):(s->((or s) (not ((and a) b))))
% 2.62/2.82 Found (or_introl0 (not ((and a) b))) as proof of (s->((or s) (not ((and a) b))))
% 2.62/2.82 Found ((or_introl s) (not ((and a) b))) as proof of (s->((or s) (not ((and a) b))))
% 2.62/2.82 Found ((or_introl s) (not ((and a) b))) as proof of (s->((or s) (not ((and a) b))))
% 2.62/2.82 Found x0:s
% 2.62/2.82 Found (fun (x0:s)=> x0) as proof of s
% 2.62/2.82 Found (fun (x0:s)=> x0) as proof of (s->s)
% 2.62/2.82 Found or_introl10:=(or_introl1 s):((((and a) b)->False)->((or (((and a) b)->False)) s))
% 2.62/2.82 Found (or_introl1 s) as proof of ((((and a) b)->False)->((or (((and a) b)->False)) s))
% 2.62/2.82 Found ((or_introl (((and a) b)->False)) s) as proof of ((((and a) b)->False)->((or (((and a) b)->False)) s))
% 2.62/2.82 Found ((or_introl (((and a) b)->False)) s) as proof of ((((and a) b)->False)->((or (((and a) b)->False)) s))
% 2.62/2.82 Found or_introl10:=(or_introl1 s):((((and a) b)->False)->((or (((and a) b)->False)) s))
% 2.62/2.82 Found (or_introl1 s) as proof of ((((and a) b)->False)->((or (((and a) b)->False)) s))
% 2.62/2.82 Found ((or_introl (((and a) b)->False)) s) as proof of ((((and a) b)->False)->((or (((and a) b)->False)) s))
% 2.62/2.82 Found ((or_introl (((and a) b)->False)) s) as proof of ((((and a) b)->False)->((or (((and a) b)->False)) s))
% 2.62/2.82 Found or_intror10:=(or_intror1 (((and a) b)->False)):((((and a) b)->False)->((or s) (((and a) b)->False)))
% 2.62/2.82 Found (or_intror1 (((and a) b)->False)) as proof of ((((and a) b)->False)->((or s) (((and a) b)->False)))
% 2.62/2.82 Found ((or_intror s) (((and a) b)->False)) as proof of ((((and a) b)->False)->((or s) (((and a) b)->False)))
% 2.62/2.82 Found ((or_intror s) (((and a) b)->False)) as proof of ((((and a) b)->False)->((or s) (((and a) b)->False)))
% 2.62/2.82 Found or_introl100:=(or_introl10 (((and a) b)->False)):((or s) (((and a) b)->False))
% 2.62/2.82 Found (or_introl10 (((and a) b)->False)) as proof of ((or s) (((and a) b)->False))
% 2.62/2.82 Found ((fun (B:Prop)=> ((or_introl1 B) x0)) (((and a) b)->False)) as proof of ((or s) (((and a) b)->False))
% 2.62/2.82 Found ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False)) as proof of ((or s) (((and a) b)->False))
% 2.62/2.82 Found ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False)) as proof of ((or s) (((and a) b)->False))
% 2.62/2.82 Found (or_introl00 ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.62/2.82 Found ((or_introl0 (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.62/2.82 Found (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.62/2.82 Found (fun (x0:s)=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False)))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.62/2.82 Found (fun (x0:s)=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False)))) as proof of (s->((or ((or s) (((and a) b)->False))) (((and c) d)->False)))
% 2.93/3.10 Found or_introl00:=(or_introl0 ((or s) (((and a) b)->False))):((((and c) d)->False)->((or (((and c) d)->False)) ((or s) (((and a) b)->False))))
% 2.93/3.10 Found (or_introl0 ((or s) (((and a) b)->False))) as proof of ((((and c) d)->False)->((or (((and c) d)->False)) ((or s) (((and a) b)->False))))
% 2.93/3.10 Found ((or_introl (((and c) d)->False)) ((or s) (((and a) b)->False))) as proof of ((((and c) d)->False)->((or (((and c) d)->False)) ((or s) (((and a) b)->False))))
% 2.93/3.10 Found ((or_introl (((and c) d)->False)) ((or s) (((and a) b)->False))) as proof of ((((and c) d)->False)->((or (((and c) d)->False)) ((or s) (((and a) b)->False))))
% 2.93/3.10 Found or_intror00:=(or_intror0 (((and a) b)->False)):((((and a) b)->False)->((or s) (((and a) b)->False)))
% 2.93/3.10 Found (or_intror0 (((and a) b)->False)) as proof of ((((and a) b)->False)->((or s) (((and a) b)->False)))
% 2.93/3.10 Found ((or_intror s) (((and a) b)->False)) as proof of ((((and a) b)->False)->((or s) (((and a) b)->False)))
% 2.93/3.10 Found ((or_intror s) (((and a) b)->False)) as proof of ((((and a) b)->False)->((or s) (((and a) b)->False)))
% 2.93/3.10 Found or_intror000:=(or_intror00 x1):((or s) (((and a) b)->False))
% 2.93/3.10 Found (or_intror00 x1) as proof of ((or s) (((and a) b)->False))
% 2.93/3.10 Found ((or_intror0 (((and a) b)->False)) x1) as proof of ((or s) (((and a) b)->False))
% 2.93/3.10 Found (((or_intror s) (((and a) b)->False)) x1) as proof of ((or s) (((and a) b)->False))
% 2.93/3.10 Found (((or_intror s) (((and a) b)->False)) x1) as proof of ((or s) (((and a) b)->False))
% 2.93/3.10 Found (or_introl00 (((or_intror s) (((and a) b)->False)) x1)) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.10 Found ((or_introl0 (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.10 Found (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.10 Found (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.10 Found (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1))) as proof of ((((and a) b)->False)->((or ((or s) (((and a) b)->False))) (((and c) d)->False)))
% 2.93/3.10 Found ((or_ind10 ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.10 Found (((or_ind1 ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.10 Found ((((fun (P:Prop) (x1:((((and c) d)->False)->P)) (x2:((((and a) b)->False)->P))=> ((((((or_ind (((and c) d)->False)) (((and a) b)->False)) P) x1) x2) x0)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.10 Found (fun (x0:((or (((and c) d)->False)) (((and a) b)->False)))=> ((((fun (P:Prop) (x1:((((and c) d)->False)->P)) (x2:((((and a) b)->False)->P))=> ((((((or_ind (((and c) d)->False)) (((and a) b)->False)) P) x1) x2) x0)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1))))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.11 Found (fun (x0:((or (((and c) d)->False)) (((and a) b)->False)))=> ((((fun (P:Prop) (x1:((((and c) d)->False)->P)) (x2:((((and a) b)->False)->P))=> ((((((or_ind (((and c) d)->False)) (((and a) b)->False)) P) x1) x2) x0)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1))))) as proof of (((or (((and c) d)->False)) (((and a) b)->False))->((or ((or s) (((and a) b)->False))) (((and c) d)->False)))
% 2.93/3.11 Found ((or_ind00 (fun (x0:((or (((and c) d)->False)) (((and a) b)->False)))=> ((((fun (P:Prop) (x1:((((and c) d)->False)->P)) (x2:((((and a) b)->False)->P))=> ((((((or_ind (((and c) d)->False)) (((and a) b)->False)) P) x1) x2) x0)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)))))) (fun (x0:s)=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False))))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.11 Found (((or_ind0 ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x0:((or (((and c) d)->False)) (((and a) b)->False)))=> ((((fun (P:Prop) (x1:((((and c) d)->False)->P)) (x2:((((and a) b)->False)->P))=> ((((((or_ind (((and c) d)->False)) (((and a) b)->False)) P) x1) x2) x0)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)))))) (fun (x0:s)=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False))))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.11 Found ((((fun (P:Prop) (x0:(((or (((and c) d)->False)) (((and a) b)->False))->P)) (x1:(s->P))=> ((((((or_ind ((or (((and c) d)->False)) (((and a) b)->False))) s) P) x0) x1) x)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x0:((or (((and c) d)->False)) (((and a) b)->False)))=> ((((fun (P:Prop) (x1:((((and c) d)->False)->P)) (x2:((((and a) b)->False)->P))=> ((((((or_ind (((and c) d)->False)) (((and a) b)->False)) P) x1) x2) x0)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)))))) (fun (x0:s)=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False))))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.11 Found (fun (x:((or ((or (((and c) d)->False)) (((and a) b)->False))) s))=> ((((fun (P:Prop) (x0:(((or (((and c) d)->False)) (((and a) b)->False))->P)) (x1:(s->P))=> ((((((or_ind ((or (((and c) d)->False)) (((and a) b)->False))) s) P) x0) x1) x)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x0:((or (((and c) d)->False)) (((and a) b)->False)))=> ((((fun (P:Prop) (x1:((((and c) d)->False)->P)) (x2:((((and a) b)->False)->P))=> ((((((or_ind (((and c) d)->False)) (((and a) b)->False)) P) x1) x2) x0)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)))))) (fun (x0:s)=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False)))))) as proof of ((or ((or s) (((and a) b)->False))) (((and c) d)->False))
% 2.93/3.15 Found (fun (x:((or ((or (((and c) d)->False)) (((and a) b)->False))) s))=> ((((fun (P:Prop) (x0:(((or (((and c) d)->False)) (((and a) b)->False))->P)) (x1:(s->P))=> ((((((or_ind ((or (((and c) d)->False)) (((and a) b)->False))) s) P) x0) x1) x)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x0:((or (((and c) d)->False)) (((and a) b)->False)))=> ((((fun (P:Prop) (x1:((((and c) d)->False)->P)) (x2:((((and a) b)->False)->P))=> ((((((or_ind (((and c) d)->False)) (((and a) b)->False)) P) x1) x2) x0)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)))))) (fun (x0:s)=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False)))))) as proof of (((or ((or (((and c) d)->False)) (((and a) b)->False))) s)->((or ((or s) (((and a) b)->False))) (((and c) d)->False)))
% 2.93/3.15 Got proof (fun (x:((or ((or (((and c) d)->False)) (((and a) b)->False))) s))=> ((((fun (P:Prop) (x0:(((or (((and c) d)->False)) (((and a) b)->False))->P)) (x1:(s->P))=> ((((((or_ind ((or (((and c) d)->False)) (((and a) b)->False))) s) P) x0) x1) x)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x0:((or (((and c) d)->False)) (((and a) b)->False)))=> ((((fun (P:Prop) (x1:((((and c) d)->False)->P)) (x2:((((and a) b)->False)->P))=> ((((((or_ind (((and c) d)->False)) (((and a) b)->False)) P) x1) x2) x0)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)))))) (fun (x0:s)=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False))))))
% 2.93/3.15 Time elapsed = 2.506298s
% 2.93/3.15 node=1041 cost=435.000000 depth=18
% 2.93/3.15 ::::::::::::::::::::::
% 2.93/3.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.93/3.15 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.93/3.15 (fun (x:((or ((or (((and c) d)->False)) (((and a) b)->False))) s))=> ((((fun (P:Prop) (x0:(((or (((and c) d)->False)) (((and a) b)->False))->P)) (x1:(s->P))=> ((((((or_ind ((or (((and c) d)->False)) (((and a) b)->False))) s) P) x0) x1) x)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x0:((or (((and c) d)->False)) (((and a) b)->False)))=> ((((fun (P:Prop) (x1:((((and c) d)->False)->P)) (x2:((((and a) b)->False)->P))=> ((((((or_ind (((and c) d)->False)) (((and a) b)->False)) P) x1) x2) x0)) ((or ((or s) (((and a) b)->False))) (((and c) d)->False))) ((or_intror ((or s) (((and a) b)->False))) (((and c) d)->False))) (fun (x1:(((and a) b)->False))=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) (((or_intror s) (((and a) b)->False)) x1)))))) (fun (x0:s)=> (((or_introl ((or s) (((and a) b)->False))) (((and c) d)->False)) ((fun (B:Prop)=> (((or_introl s) B) x0)) (((and a) b)->False))))))
% 2.93/3.15 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------