TSTP Solution File: NUM840+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM840+1 : 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 : n013.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 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 10 unt; 0 def)
% Number of atoms : 81 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 36 ~; 33 |; 0 &)
% ( 3 <=>; 2 =>; 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 : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f374,plain,
$false,
inference(avatar_sat_refutation,[],[f337,f340,f358,f373]) ).
fof(f373,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f372,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f367,f164]) ).
fof(f164,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/sandbox/benchmark/theBenchmark.p','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).
fof(f367,plain,
( ~ less(vplus(vd328,vd330),vplus(vd329,vd330))
| ~ spl4_1 ),
inference(resolution,[],[f199,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ less(X1,X0) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X26,X27] :
( ~ greater(X26,X27)
| ~ less(X26,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f199,plain,
( greater(vplus(vd328,vd330),vplus(vd329,vd330))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl4_1
<=> greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f358,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f357,plain,
( $false
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f341,f196]) ).
fof(f196,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( X0 != X1
| ~ less(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X27,X26] :
( ~ less(X26,X27)
| X26 != X27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f341,plain,
( less(vplus(vd328,vd330),vplus(vd328,vd330))
| ~ spl4_4 ),
inference(backward_demodulation,[],[f164,f213]) ).
fof(f213,plain,
( vd328 = vd329
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl4_4
<=> vd328 = vd329 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f340,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f339,f202,f211]) ).
fof(f202,plain,
( spl4_2
<=> greater(vd328,vd329) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f339,plain,
( vd328 = vd329
| spl4_2 ),
inference(subsumption_resolution,[],[f338,f177]) ).
fof(f177,plain,
~ less(vd328,vd329),
inference(cnf_transformation,[],[f41]) ).
fof(f41,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/sandbox/benchmark/theBenchmark.p','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).
fof(f338,plain,
( vd328 = vd329
| less(vd328,vd329)
| spl4_2 ),
inference(resolution,[],[f203,f165]) ).
fof(f165,plain,
! [X0,X1] :
( greater(X1,X0)
| X0 = X1
| less(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( less(X1,X0)
| X0 = X1
| greater(X1,X0) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( less(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X26,X27] :
( greater(X26,X27)
| less(X26,X27)
| X26 = X27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f203,plain,
( ~ greater(vd328,vd329)
| spl4_2 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f337,plain,
( ~ spl4_2
| spl4_1 ),
inference(avatar_split_clause,[],[f326,f198,f202]) ).
fof(f326,plain,
( ~ greater(vd328,vd329)
| spl4_1 ),
inference(resolution,[],[f138,f200]) ).
fof(f200,plain,
( ~ greater(vplus(vd328,vd330),vplus(vd329,vd330))
| spl4_1 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f138,plain,
! [X2,X0,X1] :
( greater(vplus(X0,X1),vplus(X2,X1))
| ~ greater(X0,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| greater(vplus(X0,X1),vplus(X2,X1)) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ greater(X2,X1)
| greater(vplus(X2,X0),vplus(X1,X0)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( greater(X2,X1)
=> greater(vplus(X2,X0),vplus(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X1,X0] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 08:57:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (18644)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (18636)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (18646)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (18645)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (18658)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)
% 0.19/0.51 % (18649)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)
% 0.19/0.51 % (18661)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (18635)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (18652)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (18638)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (18663)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (18641)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (18657)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (18642)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (18642)Instruction limit reached!
% 0.19/0.52 % (18642)------------------------------
% 0.19/0.52 % (18642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18642)Termination reason: Unknown
% 0.19/0.52 % (18642)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (18642)Memory used [KB]: 895
% 0.19/0.52 % (18642)Time elapsed: 0.002 s
% 0.19/0.52 % (18642)Instructions burned: 2 (million)
% 0.19/0.52 % (18642)------------------------------
% 0.19/0.52 % (18642)------------------------------
% 0.19/0.52 % (18639)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)
% 0.19/0.52 % (18637)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (18640)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (18634)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (18643)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)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (18651)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (18659)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (18654)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)
% 0.19/0.53 % (18656)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (18652)First to succeed.
% 0.19/0.54 % (18652)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (18652)------------------------------
% 0.19/0.54 % (18652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (18652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (18652)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (18652)Memory used [KB]: 5628
% 0.19/0.54 % (18652)Time elapsed: 0.142 s
% 0.19/0.54 % (18652)Instructions burned: 9 (million)
% 0.19/0.54 % (18652)------------------------------
% 0.19/0.54 % (18652)------------------------------
% 0.19/0.54 % (18631)Success in time 0.188 s
%------------------------------------------------------------------------------