%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV009-1 : 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 : n020.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 01:07:53 PM UTC 2026
% Result : Unsatisfiable 2.12s 0.77s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 55 ( 16 unt; 7 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 114 ( 53 ~; 54 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( less(X1,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f3,negated_conjecture,
less_or_equal(m,p),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
less_or_equal(p,q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
less_or_equal(q,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( less_or_equal(a(X0),a(X1))
| ~ less(X0,i)
| ~ less(j,X1)
| ~ less_or_equal(X1,n)
| ~ less_or_equal(m,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( less_or_equal(a(X0),a(X1))
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,j)
| ~ less_or_equal(m,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
! [X0,X1] :
( less_or_equal(a(X0),a(X1))
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,n)
| ~ less_or_equal(i,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
~ less_or_equal(a(p),a(q)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,plain,
( ~ less_or_equal(p,q)
| ~ less_or_equal(q,j)
| ~ less_or_equal(m,p) ),
inference(resolution,[],[f7,f9]) ).
fof(f12,definition,
( spl0_1
<=> less_or_equal(m,p) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f13,plain,
( ~ less_or_equal(m,p)
| spl0_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f15,definition,
( spl0_2
<=> less_or_equal(q,j) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f16,plain,
( ~ less_or_equal(q,j)
| spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,definition,
( spl0_3
<=> less_or_equal(p,q) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f19,plain,
( ~ less_or_equal(p,q)
| spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f20,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f10,f18,f15,f12]) ).
fof(f21,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f13,f3]) ).
fof(f22,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f21]) ).
fof(f23,plain,
( ~ less_or_equal(p,q)
| ~ less_or_equal(q,n)
| ~ less_or_equal(i,p) ),
inference(resolution,[],[f8,f9]) ).
fof(f25,definition,
( spl0_4
<=> less_or_equal(i,p) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f26,plain,
( ~ less_or_equal(i,p)
| spl0_4 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,definition,
( spl0_5
<=> less_or_equal(q,n) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f29,plain,
( ~ less_or_equal(q,n)
| spl0_5 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f30,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f23,f18,f28,f25]) ).
fof(f31,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f19,f4]) ).
fof(f32,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f31]) ).
fof(f33,plain,
( ~ less(p,i)
| ~ less(j,q)
| ~ less_or_equal(q,n)
| ~ less_or_equal(m,p) ),
inference(resolution,[],[f6,f9]) ).
fof(f35,definition,
( spl0_6
<=> less(j,q) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f36,plain,
( ~ less(j,q)
| spl0_6 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,definition,
( spl0_7
<=> less(p,i) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f39,plain,
( ~ less(p,i)
| spl0_7 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f40,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f33,f38,f35,f28,f12]) ).
fof(f41,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f29,f5]) ).
fof(f42,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f41]) ).
fof(f43,plain,
( less_or_equal(q,j)
| spl0_6 ),
inference(resolution,[],[f36,f1]) ).
fof(f44,plain,
( $false
| spl0_2
| spl0_6 ),
inference(resolution,[],[f43,f16]) ).
fof(f45,plain,
( spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f46,plain,
( less_or_equal(i,p)
| spl0_7 ),
inference(resolution,[],[f39,f1]) ).
fof(f47,plain,
( $false
| spl0_4
| spl0_7 ),
inference(resolution,[],[f46,f26]) ).
fof(f48,plain,
( spl0_4
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f47]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f20]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f22]) ).
cnf(s3,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f30]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f32]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f40]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f42]) ).
cnf(s7,plain,
( spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f45]) ).
cnf(s8,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f48]) ).
cnf(s9,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(rat,[],[s5,s6]) ).
cnf(s10,plain,
~ spl0_4,
inference(rat,[],[s3,s6,s4]) ).
cnf(s11,plain,
spl0_7,
inference(rat,[],[s8,s10]) ).
cnf(s12,plain,
~ spl0_6,
inference(rat,[],[s9,s11,s2]) ).
cnf(s13,plain,
spl0_2,
inference(rat,[],[s7,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s1,s4,s13,s2]) ).
fof(f49,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:43:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.23 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
% 2.12/0.77 % (62376)Input is clausal, will run a generic CNF schedule.
% 2.12/0.77 % (62414)dis-21_1_sil=8000:lcm=predicate:random_seed=1385858669:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 2.12/0.77 % (62414)First to succeed.
% 2.12/0.77 % (62414)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-62376"
% 2.12/0.77 % (62412)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3157582015:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 2.12/0.77 % (62409)lrs+10_1_sil=8000:sp=occurrence:random_seed=3579041273:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 2.12/0.77 % (62411)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=752334215:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 2.12/0.77 % (62408)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3563972965:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 2.12/0.77 % (62404)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=1004263656:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 2.12/0.77 % (62409)Also succeeded, but the first one will report.
% 2.12/0.77 % (62411)Also succeeded, but the first one will report.
% 2.12/0.77 % (62412)Also succeeded, but the first one will report.
% 2.12/0.77 % (62406)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1436955266:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 2.12/0.77 % (62414)Refutation found. Thanks to Tanya!
% 2.12/0.77 % SZS status Unsatisfiable for theBenchmark
% 2.12/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.77 % (62414)------------------------------
% 2.12/0.77 % (62414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/0.77 % (62414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.77 % (62414)CaDiCaL version: 2.1.3
% 2.12/0.77 % (62414)Termination reason: Refutation
% 2.12/0.77 % (62414)Time elapsed: 0.001 s
% 2.12/0.77 % (62414)Peak memory usage: 89 MB
% 2.12/0.77 % (62414)Instructions burned: 1 (million)
% 2.12/0.77 % (62414)------------------------------
% 2.12/0.77 % (62414)------------------------------
% 2.12/0.77 % (62376)Success in time 0.255 s
% 2.12/0.77 % Vampire exiting
%------------------------------------------------------------------------------