TSTP Solution File: SYO123^5 by cocATP---0.2.0

View Problem - Process Solution

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% File     : cocATP---0.2.0
% Problem  : SYO123^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n029.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 00:50:41 EDT 2022

% Result   : Theorem 0.45s 0.68s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : SYO123^5 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.16  % Command    : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  % Computer   : n029.cluster.edu
% 0.12/0.37  % Model      : x86_64 x86_64
% 0.12/0.37  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % RAMPerCPU  : 8042.1875MB
% 0.12/0.37  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37  % CPULimit   : 300
% 0.12/0.37  % DateTime   : Fri Mar 11 15:50:15 EST 2022
% 0.12/0.37  % CPUTime    : 
% 0.12/0.38  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.39  Python 2.7.5
% 0.45/0.68  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.45/0.68  FOF formula (<kernel.Constant object at 0x1d6e758>, <kernel.Constant object at 0x1d6ed40>) of role type named b
% 0.45/0.68  Using role type
% 0.45/0.68  Declaring b:fofType
% 0.45/0.68  FOF formula (<kernel.Constant object at 0x1d72e18>, <kernel.DependentProduct object at 0x1d6e878>) of role type named cP
% 0.45/0.68  Using role type
% 0.45/0.68  Declaring cP:(fofType->Prop)
% 0.45/0.68  FOF formula (<kernel.Constant object at 0x1d6e758>, <kernel.Single object at 0x1d6e098>) of role type named a
% 0.45/0.68  Using role type
% 0.45/0.68  Declaring a:fofType
% 0.45/0.68  FOF formula ((forall (Xx:fofType), (cP Xx))->((and (cP a)) (cP b))) of role conjecture named cALLCONJ2
% 0.45/0.68  Conjecture to prove = ((forall (Xx:fofType), (cP Xx))->((and (cP a)) (cP b))):Prop
% 0.45/0.68  We need to prove ['((forall (Xx:fofType), (cP Xx))->((and (cP a)) (cP b)))']
% 0.45/0.68  Parameter fofType:Type.
% 0.45/0.68  Parameter b:fofType.
% 0.45/0.68  Parameter cP:(fofType->Prop).
% 0.45/0.68  Parameter a:fofType.
% 0.45/0.68  Trying to prove ((forall (Xx:fofType), (cP Xx))->((and (cP a)) (cP b)))
% 0.45/0.68  Found x0:=(x a):(cP a)
% 0.45/0.68  Found (x a) as proof of (cP a)
% 0.45/0.68  Found (x a) as proof of (cP a)
% 0.45/0.68  Found x0:=(x b):(cP b)
% 0.45/0.68  Found (x b) as proof of (cP b)
% 0.45/0.68  Found (x b) as proof of (cP b)
% 0.45/0.68  Found ((conj00 (x a)) (x b)) as proof of ((and (cP a)) (cP b))
% 0.45/0.68  Found (((conj0 (cP b)) (x a)) (x b)) as proof of ((and (cP a)) (cP b))
% 0.45/0.68  Found ((((conj (cP a)) (cP b)) (x a)) (x b)) as proof of ((and (cP a)) (cP b))
% 0.45/0.68  Found (fun (x:(forall (Xx:fofType), (cP Xx)))=> ((((conj (cP a)) (cP b)) (x a)) (x b))) as proof of ((and (cP a)) (cP b))
% 0.45/0.68  Found (fun (x:(forall (Xx:fofType), (cP Xx)))=> ((((conj (cP a)) (cP b)) (x a)) (x b))) as proof of ((forall (Xx:fofType), (cP Xx))->((and (cP a)) (cP b)))
% 0.45/0.68  Got proof (fun (x:(forall (Xx:fofType), (cP Xx)))=> ((((conj (cP a)) (cP b)) (x a)) (x b)))
% 0.45/0.68  Time elapsed = 0.030470s
% 0.45/0.68  node=8 cost=13.000000 depth=6
% 0.45/0.68  ::::::::::::::::::::::
% 0.45/0.68  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.68  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.68  (fun (x:(forall (Xx:fofType), (cP Xx)))=> ((((conj (cP a)) (cP b)) (x a)) (x b)))
% 0.45/0.68  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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