TSTP Solution File: NUM840+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM840+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : n022.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 18:06:55 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 17 unt; 0 def)
% Number of atoms : 116 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 97 ( 45 ~; 43 |; 0 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f446,plain,
$false,
inference(avatar_sat_refutation,[],[f194,f402,f424,f445]) ).
fof(f445,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f444,plain,
( $false
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f440,f175]) ).
fof(f175,plain,
~ less(vplus(vd330,vd329),vplus(vd330,vd328)),
inference(resolution,[],[f150,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X7,X8] :
( ~ less(X7,X8)
| ~ greater(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f150,plain,
greater(vplus(vd330,vd329),vplus(vd330,vd328)),
inference(resolution,[],[f142,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4] :
( less(X3,X4)
=> greater(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f142,plain,
less(vplus(vd330,vd328),vplus(vd330,vd329)),
inference(forward_demodulation,[],[f141,f106]) ).
fof(f106,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X24,X25] : vplus(X25,X24) = vplus(X24,X25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f141,plain,
less(vplus(vd328,vd330),vplus(vd330,vd329)),
inference(forward_demodulation,[],[f94,f106]) ).
fof(f94,plain,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).
fof(f440,plain,
( less(vplus(vd330,vd329),vplus(vd330,vd328))
| ~ spl4_3 ),
inference(resolution,[],[f426,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| less(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| less(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( greater(X1,X0)
=> less(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X6,X5] :
( greater(X5,X6)
=> less(X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f426,plain,
( greater(vplus(vd330,vd328),vplus(vd330,vd329))
| ~ spl4_3 ),
inference(forward_demodulation,[],[f425,f106]) ).
fof(f425,plain,
( greater(vplus(vd328,vd330),vplus(vd330,vd329))
| ~ spl4_3 ),
inference(forward_demodulation,[],[f133,f106]) ).
fof(f133,plain,
( greater(vplus(vd328,vd330),vplus(vd329,vd330))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl4_3
<=> greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f424,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f423,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f408,f121]) ).
fof(f121,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X7,X8] :
( ~ greater(X7,X8)
| X7 != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f408,plain,
( greater(vplus(vd330,vd328),vplus(vd330,vd328))
| ~ spl4_1 ),
inference(backward_demodulation,[],[f150,f125]) ).
fof(f125,plain,
( vd328 = vd329
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl4_1
<=> vd328 = vd329 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f402,plain,
( spl4_3
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f351,f144]) ).
fof(f144,plain,
( ~ greater(vplus(vd330,vd328),vplus(vd330,vd329))
| spl4_3 ),
inference(forward_demodulation,[],[f143,f106]) ).
fof(f143,plain,
( ~ greater(vplus(vd328,vd330),vplus(vd330,vd329))
| spl4_3 ),
inference(forward_demodulation,[],[f134,f106]) ).
fof(f134,plain,
( ~ greater(vplus(vd328,vd330),vplus(vd329,vd330))
| spl4_3 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f351,plain,
( ! [X0] : greater(vplus(X0,vd328),vplus(X0,vd329))
| ~ spl4_4 ),
inference(superposition,[],[f320,f106]) ).
fof(f320,plain,
( ! [X1] : greater(vplus(X1,vd328),vplus(vd329,X1))
| ~ spl4_4 ),
inference(superposition,[],[f307,f106]) ).
fof(f307,plain,
( ! [X14] : greater(vplus(vd328,X14),vplus(vd329,X14))
| ~ spl4_4 ),
inference(resolution,[],[f234,f195]) ).
fof(f195,plain,
( less(vd329,vd328)
| ~ spl4_4 ),
inference(resolution,[],[f138,f91]) ).
fof(f138,plain,
( greater(vd328,vd329)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl4_4
<=> greater(vd328,vd329) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f234,plain,
! [X8,X6,X7] :
( ~ less(X6,X7)
| greater(vplus(X7,X8),vplus(X6,X8)) ),
inference(resolution,[],[f105,f90]) ).
fof(f105,plain,
! [X2,X0,X1] :
( less(vplus(X2,X1),vplus(X0,X1))
| ~ less(X2,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ less(X2,X0)
| less(vplus(X2,X1),vplus(X0,X1)) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ less(X1,X2)
| less(vplus(X1,X0),vplus(X2,X0)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0,X2] :
( less(X1,X2)
=> less(vplus(X1,X0),vplus(X2,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( less(X0,X1)
=> less(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof(f194,plain,
( spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f188,f136,f123]) ).
fof(f188,plain,
( greater(vd328,vd329)
| vd328 = vd329 ),
inference(resolution,[],[f98,f93]) ).
fof(f93,plain,
~ less(vd328,vd329),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
~ less(vd328,vd329),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ less(vd328,vd329),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
less(vd328,vd329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).
fof(f98,plain,
! [X0,X1] :
( less(X1,X0)
| greater(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( greater(X1,X0)
| X0 = X1
| less(X1,X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( greater(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X7,X8] :
( greater(X7,X8)
| less(X7,X8)
| X7 = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM840+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % 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 : n022.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 : Tue Aug 30 09:02:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 % (14539)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.45 % (14547)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 (3000ds/176Mi)
% 0.20/0.46 % (14547)First to succeed.
% 0.20/0.47 % (14547)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (14547)------------------------------
% 0.20/0.47 % (14547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (14547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (14547)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (14547)Memory used [KB]: 5756
% 0.20/0.47 % (14547)Time elapsed: 0.061 s
% 0.20/0.47 % (14547)Instructions burned: 17 (million)
% 0.20/0.47 % (14547)------------------------------
% 0.20/0.47 % (14547)------------------------------
% 0.20/0.47 % (14522)Success in time 0.124 s
%------------------------------------------------------------------------------