%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM839+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:17:12 PM UTC 2026
% Result : Theorem 3.81s 11.52s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 15 unt; 2 def)
% Number of atoms : 84 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 34 ~; 31 |; 1 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vd328,vd329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(204), 332, 0)') ).
fof(f2,negated_conjecture,
~ greater(vd328,vd329),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(204), 331, 0)') ).
fof(f6,axiom,
! [X0,X1,X2] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( less(X1,X2)
& less(X0,X1) )
=> less(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof(f15,axiom,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f16,axiom,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f17,axiom,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f18,axiom,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f39,plain,
~ greater(vd328,vd329),
inference(flattening,[],[f2]) ).
fof(f42,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f46,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f47,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f51,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f70,plain,
~ greater(vd328,vd329),
inference(cnf_transformation,[],[f39]) ).
fof(f71,plain,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnf_transformation,[],[f3]) ).
fof(f74,plain,
! [X2,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f79,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f88,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f89,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f90,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f91,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f118,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f91]) ).
fof(f128,plain,
less(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(resolution,[],[f71,f89]) ).
fof(f133,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| greater(X1,X0) ),
inference(resolution,[],[f90,f88]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| less(vplus(X1,X2),vplus(X0,X2)) ),
inference(resolution,[],[f74,f89]) ).
fof(f214,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(resolution,[],[f79,f118]) ).
fof(f262,plain,
( vd328 = vd329
| greater(vd329,vd328) ),
inference(resolution,[],[f133,f70]) ).
fof(f270,definition,
( spl4_1
<=> greater(vd329,vd328) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f272,plain,
( greater(vd329,vd328)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl4_2
<=> vd328 = vd329 ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f276,plain,
( vd328 = vd329
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f262,f274,f270]) ).
fof(f278,plain,
( less(vplus(vd328,vd330),vplus(vd328,vd330))
| ~ spl4_2 ),
inference(superposition,[],[f128,f276]) ).
fof(f283,plain,
( $false
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f278,f118]) ).
fof(f284,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f319,plain,
( ! [X0] : less(vplus(vd328,X0),vplus(vd329,X0))
| ~ spl4_1 ),
inference(resolution,[],[f135,f272]) ).
fof(f577,plain,
~ less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(resolution,[],[f214,f128]) ).
fof(f583,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f577,f319]) ).
fof(f584,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f583]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f277]) ).
cnf(s3,plain,
~ spl4_2,
inference(sat_conversion,[],[f284]) ).
cnf(s5,plain,
~ spl4_1,
inference(sat_conversion,[],[f584]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s5]) ).
fof(f585,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM839+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/10.40 % Computer : n002.cluster.edu
% 0.13/10.40 % Model : x86_64 x86_64
% 0.13/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.40 % Memory : 8046.5625MB
% 0.13/10.40 % OS : Linux 6.8.0-71-generic
% 0.13/10.40 % CPULimit : 300
% 0.13/10.40 % WCLimit : 300
% 0.13/10.40 % DateTime : Sun Sep 27 21:31:33 UTC 2026
% 0.16/10.40 % CPUTime :
% 0.16/10.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/10.43 Running first-order theorem proving
% 0.16/10.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.81/11.52 % (3905178)Detected formulas, will run a generic FOF schedule.
% 3.81/11.52 % (3905183)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4158586463:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.81/11.52 % (3905189)dis-21_1_sil=8000:lcm=predicate:random_seed=437261023:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.81/11.52 % (3905188)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2809788804:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.81/11.52 % (3905185)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4076757950:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.81/11.52 % (3905184)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1312786618:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.81/11.52 % (3905187)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2509966132:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.81/11.52 % (3905186)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1477508239:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.81/11.52 % (3905186)Refutation not found, incomplete strategy
% 3.81/11.52 % (3905186)------------------------------
% 3.81/11.52 % (3905186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/11.52 % (3905186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/11.52 % (3905186)CaDiCaL version: 2.1.3
% 3.81/11.52 % (3905186)Termination reason: Refutation not found, incomplete strategy
% 3.81/11.52 % (3905186)Time elapsed: 0.001 s
% 3.81/11.52 % (3905186)Peak memory usage: 88 MB
% 3.81/11.52 % (3905188)First to succeed.
% 3.81/11.52 % (3905188)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3905178"
% 3.81/11.52 % (3905187)Instruction limit reached!
% 3.81/11.52 % (3905187)------------------------------
% 3.81/11.52 % (3905187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/11.52 % (3905187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/11.52 % (3905187)CaDiCaL version: 2.1.3
% 3.81/11.52 % (3905187)Termination reason: Instruction limit
% 3.81/11.52 % (3905187)Termination phase: Saturation
% 3.81/11.52 % (3905187)Time elapsed: 0.068 s
% 3.81/11.52 % (3905187)Peak memory usage: 88 MB
% 3.81/11.52 % (3905187)Instructions burned: 120 (million)
% 3.81/11.52 % (3905189)Instruction limit reached!
% 3.81/11.52 % (3905189)------------------------------
% 3.81/11.52 % (3905189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/11.52 % (3905189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/11.52 % (3905189)CaDiCaL version: 2.1.3
% 3.81/11.52 % (3905189)Termination reason: Instruction limit
% 3.81/11.52 % (3905189)Termination phase: Saturation
% 3.81/11.52 % (3905189)Time elapsed: 0.081 s
% 3.81/11.52 % (3905189)Peak memory usage: 88 MB
% 3.81/11.52 % (3905189)Instructions burned: 129 (million)
% 3.81/11.52 % (3905197)lrs+10_1_sil=8000:sp=occurrence:random_seed=3261429736:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.81/11.52 % (3905198)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3953540307:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.81/11.52 % (3905186)------------------------------
% 3.81/11.52 % (3905186)------------------------------
% 3.81/11.52 % (3905188)Refutation found. Thanks to Tanya!
% 3.81/11.52 % SZS status Theorem for theBenchmark
% 3.81/11.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.81/11.53 % (3905188)------------------------------
% 3.81/11.53 % (3905188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/11.53 % (3905188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/11.53 % (3905188)CaDiCaL version: 2.1.3
% 3.81/11.53 % (3905188)Termination reason: Refutation
% 3.81/11.53 % (3905188)Time elapsed: 0.014 s
% 3.81/11.53 % (3905188)Peak memory usage: 90 MB
% 3.81/11.53 % (3905188)Instructions burned: 18 (million)
% 3.81/11.53 % (3905188)------------------------------
% 3.81/11.53 % (3905188)------------------------------
% 3.81/11.53 % (3905178)Success in time 0.453 s
% 3.81/11.53 % Vampire exiting
%------------------------------------------------------------------------------