TSTP Solution File: COM129+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n021.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 15:53:56 EDT 2022
% Result : Theorem 1.67s 0.60s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 89 ( 29 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 102 ( 42 ~; 33 |; 15 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 82 ( 70 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f655,plain,
$false,
inference(subsumption_resolution,[],[f653,f483]) ).
fof(f483,plain,
visFreeVar(sK55,sK56),
inference(cnf_transformation,[],[f331]) ).
fof(f331,plain,
( sK55 = vgensym(vapp(vapp(sK54,sK56),vvar(sK57)))
& visFreeVar(sK55,sK56) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56,sK57])],[f329,f330]) ).
fof(f330,plain,
( ? [X0,X1,X2,X3] :
( vgensym(vapp(vapp(X0,X2),vvar(X3))) = X1
& visFreeVar(X1,X2) )
=> ( sK55 = vgensym(vapp(vapp(sK54,sK56),vvar(sK57)))
& visFreeVar(sK55,sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f329,plain,
? [X0,X1,X2,X3] :
( vgensym(vapp(vapp(X0,X2),vvar(X3))) = X1
& visFreeVar(X1,X2) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
? [X1,X0,X3,X2] :
( vgensym(vapp(vapp(X1,X3),vvar(X2))) = X0
& visFreeVar(X0,X3) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
~ ! [X3,X1,X2,X0] :
( vgensym(vapp(vapp(X1,X3),vvar(X2))) = X0
=> ~ visFreeVar(X0,X3) ),
inference(rectify,[],[f67]) ).
fof(f67,negated_conjecture,
~ ! [X23,X10,X8,X11] :
( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
=> ~ visFreeVar(X23,X11) ),
inference(negated_conjecture,[],[f66]) ).
fof(f66,conjecture,
! [X23,X10,X8,X11] :
( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
=> ~ visFreeVar(X23,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','fresh-free-2') ).
fof(f653,plain,
~ visFreeVar(sK55,sK56),
inference(resolution,[],[f648,f586]) ).
fof(f586,plain,
! [X0,X1,X4] :
( visFreeVar(X4,vapp(X0,X1))
| ~ visFreeVar(X4,X1) ),
inference(equality_resolution,[],[f585]) ).
fof(f585,plain,
! [X2,X0,X1,X4] :
( vapp(X0,X1) != X2
| visFreeVar(X4,X2)
| ~ visFreeVar(X4,X1) ),
inference(equality_resolution,[],[f413]) ).
fof(f413,plain,
! [X2,X3,X0,X1,X4] :
( X3 != X4
| vapp(X0,X1) != X2
| visFreeVar(X3,X2)
| ~ visFreeVar(X4,X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4] :
( X3 != X4
| vapp(X0,X1) != X2
| ( ( visFreeVar(X3,X2)
| ( ~ visFreeVar(X4,X0)
& ~ visFreeVar(X4,X1) ) )
& ( visFreeVar(X4,X0)
| visFreeVar(X4,X1)
| ~ visFreeVar(X3,X2) ) ) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X3,X2,X1,X4,X0] :
( X0 != X4
| vapp(X3,X2) != X1
| ( ( visFreeVar(X4,X1)
| ( ~ visFreeVar(X0,X3)
& ~ visFreeVar(X0,X2) ) )
& ( visFreeVar(X0,X3)
| visFreeVar(X0,X2)
| ~ visFreeVar(X4,X1) ) ) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X1,X2,X3,X4,X0] :
( ( ( visFreeVar(X4,X1)
| ( ~ visFreeVar(X0,X3)
& ~ visFreeVar(X0,X2) ) )
& ( visFreeVar(X0,X2)
| visFreeVar(X0,X3)
| ~ visFreeVar(X4,X1) ) )
| vapp(X3,X2) != X1
| X0 != X4 ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X1,X2,X3,X4,X0] :
( ( vapp(X3,X2) = X1
& X0 = X4 )
=> ( ( ( visFreeVar(X0,X2)
| visFreeVar(X0,X3) )
=> visFreeVar(X4,X1) )
& ( visFreeVar(X4,X1)
=> ( visFreeVar(X0,X2)
| visFreeVar(X0,X3) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X13,X3,X12,X11,X0] :
( ( vapp(X11,X12) = X3
& X0 = X13 )
=> ( ( ( visFreeVar(X13,X12)
| visFreeVar(X13,X11) )
=> visFreeVar(X0,X3) )
& ( visFreeVar(X0,X3)
=> ( visFreeVar(X13,X11)
| visFreeVar(X13,X12) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar2) ).
fof(f648,plain,
~ visFreeVar(sK55,vapp(sK54,sK56)),
inference(resolution,[],[f584,f644]) ).
fof(f644,plain,
~ visFreeVar(sK55,vapp(vapp(sK54,sK56),vvar(sK57))),
inference(superposition,[],[f619,f484]) ).
fof(f484,plain,
sK55 = vgensym(vapp(vapp(sK54,sK56),vvar(sK57))),
inference(cnf_transformation,[],[f331]) ).
fof(f619,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f478]) ).
fof(f478,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X1,X0] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X13,X10] :
( vgensym(X10) = X13
=> ~ visFreeVar(X13,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f584,plain,
! [X0,X1,X4] :
( visFreeVar(X4,vapp(X0,X1))
| ~ visFreeVar(X4,X0) ),
inference(equality_resolution,[],[f583]) ).
fof(f583,plain,
! [X2,X0,X1,X4] :
( vapp(X0,X1) != X2
| visFreeVar(X4,X2)
| ~ visFreeVar(X4,X0) ),
inference(equality_resolution,[],[f414]) ).
fof(f414,plain,
! [X2,X3,X0,X1,X4] :
( X3 != X4
| vapp(X0,X1) != X2
| visFreeVar(X3,X2)
| ~ visFreeVar(X4,X0) ),
inference(cnf_transformation,[],[f276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM129+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 17:23:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.38/0.56 % (25867)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.38/0.57 % (25858)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.67/0.58 % (25850)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.67/0.58 % (25847)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.58 % (25852)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.59 % (25850)Instruction limit reached!
% 1.67/0.59 % (25850)------------------------------
% 1.67/0.59 % (25850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59 % (25850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59 % (25850)Termination reason: Unknown
% 1.67/0.59 % (25850)Termination phase: Property scanning
% 1.67/0.59
% 1.67/0.59 % (25850)Memory used [KB]: 1279
% 1.67/0.59 % (25850)Time elapsed: 0.012 s
% 1.67/0.59 % (25850)Instructions burned: 7 (million)
% 1.67/0.59 % (25850)------------------------------
% 1.67/0.59 % (25850)------------------------------
% 1.67/0.59 % (25848)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.67/0.60 % (25867)First to succeed.
% 1.67/0.60 % (25853)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.67/0.60 % (25863)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.67/0.60 % (25858)Also succeeded, but the first one will report.
% 1.67/0.60 % (25867)Refutation found. Thanks to Tanya!
% 1.67/0.60 % SZS status Theorem for theBenchmark
% 1.67/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.60 % (25867)------------------------------
% 1.67/0.60 % (25867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.60 % (25867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.60 % (25867)Termination reason: Refutation
% 1.67/0.60
% 1.67/0.60 % (25867)Memory used [KB]: 6012
% 1.67/0.60 % (25867)Time elapsed: 0.111 s
% 1.67/0.60 % (25867)Instructions burned: 17 (million)
% 1.67/0.60 % (25867)------------------------------
% 1.67/0.60 % (25867)------------------------------
% 1.67/0.60 % (25842)Success in time 0.25 s
%------------------------------------------------------------------------------