%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM840+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:17:13 PM UTC 2026
% Result : Theorem 3.09s 1.21s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 16 unt; 3 def)
% Number of atoms : 84 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 33 ~; 30 |; 0 &)
% ( 3 <=>; 3 =>; 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 : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
less(vd328,vd329),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).
fof(f6,axiom,
! [X0,X1,X2] :
( less(X0,X1)
=> less(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof(f9,axiom,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f10,axiom,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f11,axiom,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f12,axiom,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f13,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f28,plain,
~ less(vd328,vd329),
inference(flattening,[],[f2]) ).
fof(f31,plain,
! [X0,X1,X2] :
( less(vplus(X0,X2),vplus(X1,X2))
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f34,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
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(f51,plain,
! [X2,X0,X1] :
( ~ less(X0,X1)
| less(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f54,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
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] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f77,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f57]) ).
fof(f85,definition,
( spl4_1
<=> greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f87,plain,
( ~ greater(vplus(vd328,vd330),vplus(vd329,vd330))
| spl4_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f98,definition,
( spl4_4
<=> vd328 = vd329 ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f100,plain,
( vd328 = vd329
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f106,plain,
~ greater(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(resolution,[],[f48,f58]) ).
fof(f107,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f106,f85]) ).
fof(f109,plain,
( ~ less(vplus(vd329,vd330),vplus(vd328,vd330))
| spl4_1 ),
inference(resolution,[],[f87,f54]) ).
fof(f117,plain,
! [X0,X1] :
( less(X0,X1)
| X0 = X1
| less(X1,X0) ),
inference(resolution,[],[f56,f55]) ).
fof(f198,plain,
( vd328 = vd329
| less(vd329,vd328) ),
inference(resolution,[],[f117,f47]) ).
fof(f206,definition,
( spl4_5
<=> less(vd329,vd328) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f208,plain,
( less(vd329,vd328)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,plain,
( spl4_5
| spl4_4 ),
inference(avatar_split_clause,[],[f198,f98,f206]) ).
fof(f213,plain,
( less(vplus(vd328,vd330),vplus(vd328,vd330))
| ~ spl4_4 ),
inference(superposition,[],[f48,f100]) ).
fof(f217,plain,
( $false
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f213,f77]) ).
fof(f218,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f217]) ).
fof(f220,plain,
( ! [X0] : less(vplus(vd329,X0),vplus(vd328,X0))
| ~ spl4_5 ),
inference(resolution,[],[f208,f51]) ).
fof(f378,plain,
( $false
| spl4_1
| ~ spl4_5 ),
inference(resolution,[],[f220,f109]) ).
fof(f391,plain,
( spl4_1
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f378]) ).
cnf(s3,plain,
~ spl4_1,
inference(sat_conversion,[],[f107]) ).
cnf(s4,plain,
( spl4_4
| spl4_5 ),
inference(sat_conversion,[],[f209]) ).
cnf(s6,plain,
~ spl4_4,
inference(sat_conversion,[],[f218]) ).
cnf(s8,plain,
( spl4_1
| ~ spl4_5 ),
inference(sat_conversion,[],[f391]) ).
cnf(s9,plain,
spl4_5,
inference(rat,[],[s4,s6]) ).
cnf(s10,plain,
spl4_1,
inference(rat,[],[s8,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s3,s10]) ).
fof(f397,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM840+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 21:30:24 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.09/1.21 % (1617530)Detected formulas, will run a generic FOF schedule.
% 3.09/1.21 % (1617576)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=196836651:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.09/1.21 % (1617570)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=2985647499:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.09/1.21 % (1617574)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1102965596:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.09/1.21 % (1617578)dis-21_1_sil=8000:lcm=predicate:random_seed=1424339336: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)
% 3.09/1.21 % (1617573)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=756848879:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.09/1.21 % (1617577)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3314450597:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.09/1.21 % (1617574)Refutation not found, incomplete strategy
% 3.09/1.21 % (1617574)------------------------------
% 3.09/1.21 % (1617574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.21 % (1617574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.21 % (1617574)CaDiCaL version: 2.1.3
% 3.09/1.21 % (1617574)Termination reason: Refutation not found, incomplete strategy
% 3.09/1.21 % (1617574)Time elapsed: 0.001 s
% 3.09/1.21 % (1617574)Peak memory usage: 88 MB
% 3.09/1.21 % (1617577)First to succeed.
% 3.09/1.21 % (1617577)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1617530"
% 3.09/1.21 % (1617572)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=140035995:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.09/1.21 % (1617576)Instruction limit reached!
% 3.09/1.21 % (1617576)------------------------------
% 3.09/1.21 % (1617576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.21 % (1617576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.21 % (1617576)CaDiCaL version: 2.1.3
% 3.09/1.21 % (1617576)Termination reason: Instruction limit
% 3.09/1.21 % (1617576)Termination phase: Saturation
% 3.09/1.21 % (1617576)Time elapsed: 0.066 s
% 3.09/1.21 % (1617576)Peak memory usage: 88 MB
% 3.09/1.21 % (1617576)Instructions burned: 120 (million)
% 3.09/1.21 % (1617578)Instruction limit reached!
% 3.09/1.21 % (1617578)------------------------------
% 3.09/1.21 % (1617578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.21 % (1617578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.21 % (1617578)CaDiCaL version: 2.1.3
% 3.09/1.21 % (1617578)Termination reason: Instruction limit
% 3.09/1.21 % (1617578)Termination phase: Saturation
% 3.09/1.21 % (1617578)Time elapsed: 0.085 s
% 3.09/1.21 % (1617578)Peak memory usage: 88 MB
% 3.09/1.21 % (1617578)Instructions burned: 129 (million)
% 3.09/1.21 % (1617577)Refutation found. Thanks to Tanya!
% 3.09/1.21 % SZS status Theorem for theBenchmark
% 3.09/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.09/1.21 % (1617577)------------------------------
% 3.09/1.21 % (1617577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.21 % (1617577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.21 % (1617577)CaDiCaL version: 2.1.3
% 3.09/1.21 % (1617577)Termination reason: Refutation
% 3.09/1.21 % (1617577)Time elapsed: 0.010 s
% 3.09/1.21 % (1617577)Peak memory usage: 90 MB
% 3.09/1.21 % (1617577)Instructions burned: 11 (million)
% 3.09/1.21 % (1617577)------------------------------
% 3.09/1.21 % (1617577)------------------------------
% 3.09/1.21 % (1617530)Success in time 0.378 s
% 3.09/1.21 % Vampire exiting
%------------------------------------------------------------------------------