TSTP Solution File: COM129+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM129+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.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 : 300s
% DateTime : Wed Aug 31 15:53:21 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 88 ( 29 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 100 ( 40 ~; 33 |; 15 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 83 ( 71 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f489,plain,
$false,
inference(unit_resulting_resolution,[],[f357,f376,f318]) ).
fof(f318,plain,
! [X3,X1,X4] :
( visFreeVar(X1,vapp(X3,X4))
| ~ visFreeVar(X1,X3) ),
inference(equality_resolution,[],[f317]) ).
fof(f317,plain,
! [X3,X0,X1,X4] :
( ~ visFreeVar(X0,X3)
| visFreeVar(X1,vapp(X3,X4))
| X0 != X1 ),
inference(equality_resolution,[],[f239]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4] :
( ~ visFreeVar(X0,X3)
| visFreeVar(X1,X2)
| vapp(X3,X4) != X2
| X0 != X1 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4] :
( ( ( ( ~ visFreeVar(X0,X3)
& ~ visFreeVar(X0,X4) )
| visFreeVar(X1,X2) )
& ( visFreeVar(X0,X4)
| visFreeVar(X0,X3)
| ~ visFreeVar(X1,X2) ) )
| vapp(X3,X4) != X2
| X0 != X1 ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X3,X1,X2,X0,X4] :
( ( ( ( ~ visFreeVar(X3,X0)
& ~ visFreeVar(X3,X4) )
| visFreeVar(X1,X2) )
& ( visFreeVar(X3,X4)
| visFreeVar(X3,X0)
| ~ visFreeVar(X1,X2) ) )
| vapp(X0,X4) != X2
| X1 != X3 ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X2,X3,X1,X4] :
( ( ( ( ~ visFreeVar(X3,X0)
& ~ visFreeVar(X3,X4) )
| visFreeVar(X1,X2) )
& ( visFreeVar(X3,X4)
| visFreeVar(X3,X0)
| ~ visFreeVar(X1,X2) ) )
| X1 != X3
| vapp(X0,X4) != X2 ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X2,X3,X1,X4] :
( ( X1 = X3
& vapp(X0,X4) = X2 )
=> ( ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X0) )
=> visFreeVar(X1,X2) )
& ( visFreeVar(X1,X2)
=> ( visFreeVar(X3,X4)
| visFreeVar(X3,X0) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X11,X0,X3,X13,X12] :
( ( X0 = X13
& vapp(X11,X12) = X3 )
=> ( ( visFreeVar(X0,X3)
=> ( visFreeVar(X13,X11)
| visFreeVar(X13,X12) ) )
& ( ( visFreeVar(X13,X12)
| visFreeVar(X13,X11) )
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar2) ).
fof(f376,plain,
~ visFreeVar(sK7,vapp(vapp(sK5,sK6),vvar(sK8))),
inference(superposition,[],[f316,f240]) ).
fof(f240,plain,
sK7 = vgensym(vapp(vapp(sK5,sK6),vvar(sK8))),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( visFreeVar(sK7,sK6)
& sK7 = vgensym(vapp(vapp(sK5,sK6),vvar(sK8))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f173,f174]) ).
fof(f174,plain,
( ? [X0,X1,X2,X3] :
( visFreeVar(X2,X1)
& vgensym(vapp(vapp(X0,X1),vvar(X3))) = X2 )
=> ( visFreeVar(sK7,sK6)
& sK7 = vgensym(vapp(vapp(sK5,sK6),vvar(sK8))) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
? [X0,X1,X2,X3] :
( visFreeVar(X2,X1)
& vgensym(vapp(vapp(X0,X1),vvar(X3))) = X2 ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
? [X2,X1,X0,X3] :
( visFreeVar(X0,X1)
& vgensym(vapp(vapp(X2,X1),vvar(X3))) = X0 ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
~ ! [X1,X0,X3,X2] :
( vgensym(vapp(vapp(X2,X1),vvar(X3))) = X0
=> ~ visFreeVar(X0,X1) ),
inference(rectify,[],[f67]) ).
fof(f67,negated_conjecture,
~ ! [X23,X11,X10,X8] :
( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
=> ~ visFreeVar(X23,X11) ),
inference(negated_conjecture,[],[f66]) ).
fof(f66,conjecture,
! [X23,X11,X10,X8] :
( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
=> ~ visFreeVar(X23,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-free-2') ).
fof(f316,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X13,X10] :
( vgensym(X10) = X13
=> ~ visFreeVar(X13,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f357,plain,
! [X0] : visFreeVar(sK7,vapp(X0,sK6)),
inference(unit_resulting_resolution,[],[f241,f320]) ).
fof(f320,plain,
! [X3,X1,X4] :
( visFreeVar(X1,vapp(X3,X4))
| ~ visFreeVar(X1,X4) ),
inference(equality_resolution,[],[f319]) ).
fof(f319,plain,
! [X3,X0,X1,X4] :
( ~ visFreeVar(X0,X4)
| visFreeVar(X1,vapp(X3,X4))
| X0 != X1 ),
inference(equality_resolution,[],[f238]) ).
fof(f238,plain,
! [X2,X3,X0,X1,X4] :
( ~ visFreeVar(X0,X4)
| visFreeVar(X1,X2)
| vapp(X3,X4) != X2
| X0 != X1 ),
inference(cnf_transformation,[],[f172]) ).
fof(f241,plain,
visFreeVar(sK7,sK6),
inference(cnf_transformation,[],[f175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM129+1 : TPTP v8.1.0. Released v6.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 17:31:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (12991)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.45 % (12999)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.46 % (12999)Instruction limit reached!
% 0.19/0.46 % (12999)------------------------------
% 0.19/0.46 % (12999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (12999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (12999)Termination reason: Unknown
% 0.19/0.47 % (12999)Termination phase: Property scanning
% 0.19/0.47
% 0.19/0.47 % (12999)Memory used [KB]: 1791
% 0.19/0.47 % (12999)Time elapsed: 0.007 s
% 0.19/0.47 % (12999)Instructions burned: 7 (million)
% 0.19/0.47 % (12999)------------------------------
% 0.19/0.47 % (12999)------------------------------
% 0.19/0.48 % (12991)First to succeed.
% 0.19/0.48 % (12991)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (12991)------------------------------
% 0.19/0.48 % (12991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (12991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (12991)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (12991)Memory used [KB]: 6652
% 0.19/0.48 % (12991)Time elapsed: 0.070 s
% 0.19/0.48 % (12991)Instructions burned: 20 (million)
% 0.19/0.48 % (12991)------------------------------
% 0.19/0.48 % (12991)------------------------------
% 0.19/0.48 % (12983)Success in time 0.135 s
%------------------------------------------------------------------------------