TSTP Solution File: NUM840+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM840+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : Tue Apr 30 14:37:49 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 12 unt; 0 def)
% Number of atoms : 134 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 120 ( 55 ~; 54 |; 0 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f603,plain,
$false,
inference(avatar_sat_refutation,[],[f298,f363,f368,f582,f591,f593,f594,f600,f602]) ).
fof(f602,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f596,f99]) ).
fof(f99,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X7,X8] :
( ~ less(X7,X8)
| X7 != X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f596,plain,
( less(vplus(vd328,vd330),vplus(vd328,vd330))
| ~ spl4_2 ),
inference(superposition,[],[f71,f297]) ).
fof(f297,plain,
( vd328 = vd329
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl4_2
<=> vd328 = vd329 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f71,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(f600,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f599,plain,
( $false
| spl4_1
| ~ spl4_2 ),
inference(trivial_inequality_removal,[],[f598]) ).
fof(f598,plain,
( vplus(vd328,vd330) != vplus(vd328,vd330)
| spl4_1
| ~ spl4_2 ),
inference(superposition,[],[f293,f297]) ).
fof(f293,plain,
( vplus(vd328,vd330) != vplus(vd329,vd330)
| spl4_1 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl4_1
<=> vplus(vd328,vd330) = vplus(vd329,vd330) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f594,plain,
( spl4_2
| spl4_4 ),
inference(avatar_split_clause,[],[f366,f360,f295]) ).
fof(f360,plain,
( spl4_4
<=> greater(vd328,vd329) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f366,plain,
( vd328 = vd329
| spl4_4 ),
inference(subsumption_resolution,[],[f364,f70]) ).
fof(f70,plain,
~ less(vd328,vd329),
inference(cnf_transformation,[],[f28]) ).
fof(f28,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(f364,plain,
( less(vd328,vd329)
| vd328 = vd329
| spl4_4 ),
inference(resolution,[],[f361,f85]) ).
fof(f85,plain,
! [X0,X1] :
( greater(X0,X1)
| less(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X7,X8] :
( less(X7,X8)
| greater(X7,X8)
| X7 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f361,plain,
( ~ greater(vd328,vd329)
| spl4_4 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f593,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f592,plain,
( $false
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f589,f71]) ).
fof(f589,plain,
( ~ less(vplus(vd328,vd330),vplus(vd329,vd330))
| ~ spl4_3 ),
inference(resolution,[],[f357,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X7,X8] :
( ~ less(X7,X8)
| ~ greater(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f357,plain,
( greater(vplus(vd328,vd330),vplus(vd329,vd330))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl4_3
<=> greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f591,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f590,plain,
( $false
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f588,f129]) ).
fof(f129,plain,
~ less(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(resolution,[],[f71,f125]) ).
fof(f125,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(resolution,[],[f90,f84]) ).
fof(f90,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4] :
( less(X3,X4)
=> greater(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f588,plain,
( less(vplus(vd329,vd330),vplus(vd328,vd330))
| ~ spl4_3 ),
inference(resolution,[],[f357,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X5,X6] :
( greater(X5,X6)
=> less(X6,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f582,plain,
( spl4_3
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f560,f362]) ).
fof(f362,plain,
( greater(vd328,vd329)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f560,plain,
( ~ greater(vd328,vd329)
| spl4_3 ),
inference(resolution,[],[f97,f358]) ).
fof(f358,plain,
( ~ greater(vplus(vd328,vd330),vplus(vd329,vd330))
| spl4_3 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f97,plain,
! [X2,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f368,plain,
( spl4_2
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f367,plain,
( $false
| spl4_2
| spl4_4 ),
inference(subsumption_resolution,[],[f366,f296]) ).
fof(f296,plain,
( vd328 != vd329
| spl4_2 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f363,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f73,f360,f356]) ).
fof(f73,plain,
( greater(vd328,vd329)
| ~ greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( greater(vd328,vd329)
| ~ greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
( greater(vplus(vd328,vd330),vplus(vd329,vd330))
=> greater(vd328,vd329) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(204), 0), 0)') ).
fof(f298,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f72,f295,f291]) ).
fof(f72,plain,
( vd328 = vd329
| vplus(vd328,vd330) != vplus(vd329,vd330) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( vd328 = vd329
| vplus(vd328,vd330) != vplus(vd329,vd330) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
( vplus(vd328,vd330) = vplus(vd329,vd330)
=> vd328 = vd329 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(conjunct2(204)), 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM840+2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:28:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (31529)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (31533)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [3]
% 0.13/0.37 % (31532)WARNING: value z3 for option sas not known
% 0.13/0.37 TRYING [4]
% 0.13/0.37 % (31530)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (31531)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (31532)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (31534)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (31535)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (31536)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [5]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (31532)First to succeed.
% 0.13/0.39 % (31532)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (31532)------------------------------
% 0.13/0.39 % (31532)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.39 % (31532)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (31532)Memory used [KB]: 920
% 0.13/0.39 % (31532)Time elapsed: 0.019 s
% 0.13/0.39 % (31532)Instructions burned: 27 (million)
% 0.13/0.39 % (31532)------------------------------
% 0.13/0.39 % (31532)------------------------------
% 0.13/0.39 % (31529)Success in time 0.035 s
%------------------------------------------------------------------------------