%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM840+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:25:52 PM UTC 2026
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 14 unt; 3 def)
% Number of atoms : 71 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 30 ~; 26 |; 0 &)
% ( 3 <=>; 1 =>; 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 : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
less(vd328,vd329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).
fof(f2,negated_conjecture,
~ less(vd328,vd329),
inference(negated_conjecture,[status(cth)],[f1]) ).
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(f8,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(f11,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(f12,axiom,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f13,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f28,plain,
~ less(vd328,vd329),
inference(flattening,[],[f2]) ).
fof(f33,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f47,plain,
~ less(vd328,vd329),
inference(cnf_transformation,[],[f28]) ).
fof(f48,plain,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnf_transformation,[],[f3]) ).
fof(f53,plain,
! [X2,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f56,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f57,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f58,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f80,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f57]) ).
fof(f88,definition,
( spl4_1
<=> greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f89,plain,
( greater(vplus(vd328,vd330),vplus(vd329,vd330))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( ~ greater(vplus(vd328,vd330),vplus(vd329,vd330))
| spl4_1 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl4_2
<=> greater(vd328,vd329) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f93,plain,
( ~ greater(vd328,vd329)
| spl4_2 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f101,definition,
( spl4_4
<=> vd328 = vd329 ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f103,plain,
( vd328 = vd329
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f143,plain,
( ~ greater(vd328,vd329)
| spl4_1 ),
inference(resolution,[],[f53,f90]) ).
fof(f151,plain,
( ~ spl4_2
| spl4_1 ),
inference(avatar_split_clause,[],[f143,f88,f92]) ).
fof(f152,plain,
( vd328 = vd329
| less(vd328,vd329)
| spl4_2 ),
inference(resolution,[],[f93,f56]) ).
fof(f153,plain,
( vd328 = vd329
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f152,f47]) ).
fof(f154,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f153,f92,f101]) ).
fof(f158,plain,
( less(vplus(vd328,vd330),vplus(vd328,vd330))
| ~ spl4_4 ),
inference(superposition,[],[f48,f103]) ).
fof(f162,plain,
( $false
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f158,f80]) ).
fof(f163,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f162]) ).
fof(f167,plain,
( ~ less(vplus(vd328,vd330),vplus(vd329,vd330))
| ~ spl4_1 ),
inference(resolution,[],[f89,f58]) ).
fof(f169,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f167,f48]) ).
fof(f170,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f169]) ).
cnf(s3,plain,
( spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f151]) ).
cnf(s4,plain,
( spl4_2
| spl4_4 ),
inference(sat_conversion,[],[f154]) ).
cnf(s6,plain,
~ spl4_4,
inference(sat_conversion,[],[f163]) ).
cnf(s7,plain,
~ spl4_1,
inference(sat_conversion,[],[f170]) ).
cnf(s8,plain,
spl4_2,
inference(rat,[],[s4,s6]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s3,s8,s7]) ).
fof(f171,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM840+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:25:05 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 % (2953182)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (2953187)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4224986052_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.48 % TRYING [1]
% 0.19/0.48 % TRYING [2]
% 0.19/0.48 % TRYING [3]
% 0.19/0.48 % TRYING [4]
% 0.19/0.48 % (2953188)% WARNING: option uhcvi not known.
% 0.19/0.48 % (2953189)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1202055066:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.48 % (2953191)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2050166917:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.48 % TRYING [5]
% 0.19/0.48 % (2953188)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3183439904:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.48 % (2953190)dis+10_1_sil=32000:sp=arity:random_seed=2325074138:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.48 % (2953192)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4019854301:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.48 % (2953193)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3076726205:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.48 % (2953190) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2953182-2953190"...
% 0.19/0.48 % (2953191) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2953182-2953191"...
% 0.19/0.48 % (2953190)...printing done.
% 0.19/0.48 % (2953193) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2953182-2953193"...
% 0.19/0.48 % (2953191)...printing done.
% 0.19/0.48 % (2953189) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2953182-2953189"...
% 0.19/0.48 % (2953190)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (2953190)------------------------------
% 0.19/0.48 % (2953190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (2953190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (2953190)CaDiCaL version: 2.1.3
% 0.19/0.48 % (2953190)Termination reason: Refutation
% 0.19/0.48 % (2953190)Time elapsed: 0.004 s
% 0.19/0.48 % (2953190)Peak memory usage: 12 MB
% 0.19/0.48 % (2953190)Instructions burned: 4 (million)
% 0.19/0.48 % (2953182)Success in time 0.046 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------