TSTP Solution File: SYO204^5 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO204^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n006.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 00:50:54 EDT 2022

% Result   : Theorem 0.48s 0.65s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SYO204^5 : TPTP v7.5.0. Released v4.0.0.
% 0.11/0.12  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Computer   : n006.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
% 0.11/0.33  % DateTime   : Fri Mar 11 18:11:44 EST 2022
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.34  Python 2.7.5
% 0.48/0.65  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.48/0.65  FOF formula ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) of role conjecture named cCT313
% 0.48/0.65  Conjecture to prove = ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))):Prop
% 0.48/0.65  We need to prove ['((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))))']
% 0.48/0.65  Trying to prove ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))))
% 0.48/0.65  Found False:Prop
% 0.48/0.65  Found False as proof of Prop
% 0.48/0.65  Found x00:=(x0 Xy):Xy
% 0.48/0.65  Found (x0 Xy) as proof of Xy
% 0.48/0.65  Found (x0 Xy) as proof of Xy
% 0.48/0.65  Found (fun (x0:x)=> (x0 Xy)) as proof of Xy
% 0.48/0.65  Found (fun (Xy:Prop) (x0:x)=> (x0 Xy)) as proof of (x->Xy)
% 0.48/0.65  Found (fun (Xy:Prop) (x0:x)=> (x0 Xy)) as proof of (forall (Xy:Prop), (x->Xy))
% 0.48/0.65  Found (ex_intro010 (fun (Xy:Prop) (x0:x)=> (x0 Xy))) as proof of ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))
% 0.48/0.65  Found ((ex_intro01 (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy))) as proof of ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))
% 0.48/0.65  Found (((ex_intro0 (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy))) as proof of ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))
% 0.48/0.65  Found (((ex_intro0 (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy))) as proof of ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))
% 0.48/0.65  Found ((ex_intro00 False) (((ex_intro0 (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy)))) as proof of ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))))
% 0.48/0.65  Found (((ex_intro0 (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) False) (((ex_intro0 (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy)))) as proof of ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))))
% 0.48/0.65  Found ((((ex_intro Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) False) ((((ex_intro Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy)))) as proof of ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))))
% 0.48/0.65  Found ((((ex_intro Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) False) ((((ex_intro Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy)))) as proof of ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))))
% 0.48/0.65  Got proof ((((ex_intro Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) False) ((((ex_intro Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy))))
% 0.48/0.65  Time elapsed = 0.044017s
% 0.48/0.65  node=13 cost=250.000000 depth=12
% 0.48/0.65  ::::::::::::::::::::::
% 0.48/0.65  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.65  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.65  ((((ex_intro Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) False) ((((ex_intro Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy))))
% 0.48/0.65  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------