%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:07:52 PM UTC 2026
% Result : Unsatisfiable 3.58s 1.19s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 11 unt; 2 def)
% Number of atoms : 51 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,X2)
| ~ less_than(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_than) ).
fof(f8,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_related) ).
fof(f9,axiom,
! [X0] : ~ less_than(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_not_less_than_x) ).
fof(f19,negated_conjecture,
less_than(a(j),a(k)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ less_than(a(X0),a(k))
| ~ less_than(X0,j)
| less_than(X0,i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f23,negated_conjecture,
~ less_than(q,i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f24,negated_conjecture,
~ less_than(j,q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f25,negated_conjecture,
less_than(a(q),a(j)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f68,plain,
! [X0,X1] :
( ~ less_than(a(X0),X1)
| ~ less_than(X1,a(k))
| ~ less_than(X0,j)
| less_than(X0,i) ),
inference(resolution,[],[f7,f20]) ).
fof(f78,plain,
( less_than(q,j)
| j = q ),
inference(resolution,[],[f8,f24]) ).
fof(f110,definition,
( spl0_11
<=> j = q ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f111,plain,
( j = q
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,definition,
( spl0_12
<=> less_than(q,j) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f114,plain,
( less_than(q,j)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f115,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f78,f113,f110]) ).
fof(f136,plain,
( less_than(a(j),a(j))
| ~ spl0_11 ),
inference(superposition,[],[f25,f111]) ).
fof(f139,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f136,f9]) ).
fof(f140,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f228,plain,
( ~ less_than(a(j),a(k))
| ~ less_than(q,j)
| less_than(q,i) ),
inference(resolution,[],[f68,f25]) ).
fof(f233,plain,
( ~ less_than(q,j)
| less_than(q,i) ),
inference(forward_subsumption_resolution,[],[f228,f19]) ).
fof(f234,plain,
( less_than(q,i)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f233,f114]) ).
fof(f235,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f234,f23]) ).
fof(f236,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f235]) ).
cnf(s6,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f115]) ).
cnf(s8,plain,
~ spl0_11,
inference(sat_conversion,[],[f140]) ).
cnf(s21,plain,
~ spl0_12,
inference(sat_conversion,[],[f236]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s6,s21,s8]) ).
fof(f237,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:41:40 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.58/1.19 % (3850378)Input is clausal, will run a generic CNF schedule.
% 3.58/1.19 % (3850384)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3053260191:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.19 % (3850385)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3496811458:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.19 % (3850389)dis-21_1_sil=8000:lcm=predicate:random_seed=4241357175:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.58/1.19 % (3850386)lrs+10_1_sil=8000:sp=occurrence:random_seed=2776477542:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.19 % (3850387)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=624440049:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.19 % (3850383)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=3790686447:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.19 % (3850388)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1575299833:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.19 % (3850387)First to succeed.
% 3.58/1.19 % (3850387)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3850378"
% 3.58/1.19 % (3850386)Also succeeded, but the first one will report.
% 3.58/1.19 % (3850388)Also succeeded, but the first one will report.
% 3.58/1.19 % (3850389)Instruction limit reached!
% 3.58/1.19 % (3850389)------------------------------
% 3.58/1.19 % (3850389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3850389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3850389)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3850389)Termination reason: Instruction limit
% 3.58/1.19 % (3850389)Termination phase: Saturation
% 3.58/1.19 % (3850389)Time elapsed: 0.074 s
% 3.58/1.19 % (3850389)Peak memory usage: 88 MB
% 3.58/1.19 % (3850389)Instructions burned: 117 (million)
% 3.58/1.19 % (3850397)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3705184371:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.58/1.19 % (3850397)Also succeeded, but the first one will report.
% 3.58/1.19 % (3850387)Refutation found. Thanks to Tanya!
% 3.58/1.19 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.19 % (3850387)------------------------------
% 3.58/1.19 % (3850387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3850387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3850387)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3850387)Termination reason: Refutation
% 3.58/1.19 % (3850387)Time elapsed: 0.006 s
% 3.58/1.19 % (3850387)Peak memory usage: 89 MB
% 3.58/1.19 % (3850387)Instructions burned: 5 (million)
% 3.58/1.19 % (3850387)------------------------------
% 3.58/1.19 % (3850387)------------------------------
% 3.58/1.19 % (3850378)Success in time 0.433 s
% 3.58/1.19 % Vampire exiting
%------------------------------------------------------------------------------