%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM840+1 : 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 : n008.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 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 18 unt; 2 def)
% Number of atoms : 68 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 31 ~; 24 |; 0 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 33 ( 0 sgn 33 !; 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(f19,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(f20,axiom,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f21,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f41,plain,
~ less(vd328,vd329),
inference(flattening,[],[f2]) ).
fof(f46,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f63,plain,
~ less(vd328,vd329),
inference(cnf_transformation,[],[f41]) ).
fof(f64,plain,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnf_transformation,[],[f3]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f85,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f86,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f87,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f121,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f86]) ).
fof(f128,plain,
less(vd328,vd329),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f129,plain,
~ less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ greater(vplus(X0,X2),vplus(X1,X2))
| greater(X0,X1) ),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f143,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f144,plain,
! [X1] : less(X1,X1),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f145,plain,
! [X0,X1] :
( greater(X0,X1)
| less(X0,X1) ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f152,definition,
( spl4_1
<=> greater(vd328,vd329) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f153,plain,
( greater(vd328,vd329)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f161,definition,
( spl4_3
<=> vd328 = vd329 ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f163,plain,
( vd328 = vd329
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f265,plain,
! [X2,X0,X1] :
( less(vplus(X0,X2),vplus(X1,X2))
| greater(X0,X1) ),
inference(resolution,[],[f132,f145]) ).
fof(f848,plain,
greater(vd328,vd329),
inference(resolution,[],[f265,f129]) ).
fof(f875,plain,
spl4_1,
inference(avatar_split_clause,[],[f848,f152]) ).
fof(f876,plain,
( ~ less(vd328,vd329)
| vd328 = vd329
| ~ spl4_1 ),
inference(resolution,[],[f153,f143]) ).
fof(f880,plain,
( vd328 = vd329
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f876,f128]) ).
fof(f884,plain,
( spl4_3
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f880,f152,f161]) ).
fof(f888,plain,
( ~ less(vplus(vd328,vd330),vplus(vd328,vd330))
| ~ spl4_3 ),
inference(superposition,[],[f129,f163]) ).
fof(f901,plain,
( $false
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f888,f144]) ).
fof(f902,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f901]) ).
cnf(s8,plain,
spl4_1,
inference(sat_conversion,[],[f875]) ).
cnf(s12,plain,
( ~ spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f884]) ).
cnf(s14,plain,
~ spl4_3,
inference(sat_conversion,[],[f902]) ).
cnf(s15,plain,
~ spl4_1,
inference(rat,[],[s12,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s8,s15]) ).
fof(f903,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM840+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 21:30:25 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38 Running first-order model finding
% 0.14/0.38 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
% 0.14/0.42 % (1617660)Will run a generic schedule for satisfiability detection.
% 0.14/0.42 % (1617666)% WARNING: option uhcvi not known.
% 0.14/0.42 % (1617666)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1524486630:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.42 % (1617665)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1701966365_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.42 % (1617667)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3702153405:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.42 % (1617670)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3784227023:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.42 % (1617669)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2701558898:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.42 % (1617668)dis+10_1_sil=32000:sp=arity:random_seed=2137645760:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.42 % (1617671)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2627992186:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.42 % TRYING [1]
% 0.14/0.42 % TRYING [2]
% 0.14/0.42 % (1617666) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1617660-1617666"...
% 0.14/0.42 % TRYING [3]
% 0.14/0.42 % (1617666)...printing done.
% 0.14/0.42 % (1617666)Refutation found. Thanks to Tanya!
% 0.14/0.42 % SZS status Theorem for theBenchmark
% 0.14/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.42 % (1617666)------------------------------
% 0.14/0.42 % (1617666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.42 % (1617666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.42 % (1617666)CaDiCaL version: 2.1.3
% 0.14/0.42 % (1617666)Termination reason: Refutation
% 0.14/0.42 % (1617666)Time elapsed: 0.012 s
% 0.14/0.42 % (1617666)Peak memory usage: 13 MB
% 0.14/0.42 % (1617666)Instructions burned: 33 (million)
% 0.14/0.42 % (1617660)Success in time 0.027 s
% 0.14/0.42 % Vampire exiting
%------------------------------------------------------------------------------