%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 3.40s 1.05s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 11 unt; 2 def)
% Number of atoms : 47 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 18 |; 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 : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] : less_than(X0,successor(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_than_successor) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ less_than(X2,X1)
| ~ less_than(X0,X2)
| less_than(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',all_related) ).
fof(f10,axiom,
! [X0,X1] :
( ~ less_than(X1,X0)
| ~ less_than(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',anti_symmetry_of_less_than) ).
fof(f18,negated_conjecture,
~ less_than(n,m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f19,negated_conjecture,
less_than(i,m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f22,negated_conjecture,
less_than(a(m),a(k)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f25,negated_conjecture,
! [X0] :
( ~ less_than(a(X0),a(k))
| ~ less_than(X0,successor(n))
| less_than(X0,i) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f28,plain,
( ~ less_than(m,successor(n))
| less_than(m,i) ),
inference(resolution,[],[f25,f22]) ).
fof(f30,definition,
( spl0_1
<=> less_than(m,i) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f34,definition,
( spl0_2
<=> less_than(m,successor(n)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f36,plain,
( ~ less_than(m,successor(n))
| spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f37,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f28,f34,f30]) ).
fof(f45,plain,
~ less_than(m,i),
inference(resolution,[],[f10,f19]) ).
fof(f47,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f45,f30]) ).
fof(f54,plain,
! [X0,X1] :
( less_than(X0,successor(X1))
| ~ less_than(X0,X1) ),
inference(resolution,[],[f7,f6]) ).
fof(f163,plain,
( ~ less_than(m,n)
| spl0_2 ),
inference(resolution,[],[f54,f36]) ).
fof(f166,plain,
( less_than(n,m)
| n = m
| spl0_2 ),
inference(resolution,[],[f163,f8]) ).
fof(f167,plain,
( n = m
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f166,f18]) ).
fof(f182,plain,
( ~ less_than(n,successor(n))
| spl0_2 ),
inference(superposition,[],[f36,f167]) ).
fof(f189,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f182,f6]) ).
fof(f190,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f189]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s2,plain,
~ spl0_1,
inference(sat_conversion,[],[f47]) ).
cnf(s9,plain,
spl0_2,
inference(sat_conversion,[],[f190]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s9,s2]) ).
fof(f191,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 09:42:17 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.40/1.05 % (1809664)Input is clausal, will run a generic CNF schedule.
% 3.40/1.05 % (1809702)dis-21_1_sil=8000:lcm=predicate:random_seed=3073205844: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)
% 3.40/1.05 % (1809700)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1434864923:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.40/1.05 % (1809694)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=31505642:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.40/1.05 % (1809697)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1292047829:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.40/1.05 % (1809698)lrs+10_1_sil=8000:sp=occurrence:random_seed=3454777896:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.40/1.05 % (1809695)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1225920727:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.40/1.05 % (1809698)First to succeed.
% 3.40/1.05 % (1809698)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1809664"
% 3.40/1.05 % (1809701)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1769540621:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.40/1.05 % (1809700)Also succeeded, but the first one will report.
% 3.40/1.05 % (1809702)Instruction limit reached!
% 3.40/1.05 % (1809702)------------------------------
% 3.40/1.05 % (1809702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.05 % (1809702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.05 % (1809702)CaDiCaL version: 2.1.3
% 3.40/1.05 % (1809702)Termination reason: Instruction limit
% 3.40/1.05 % (1809702)Termination phase: Saturation
% 3.40/1.05 % (1809702)Time elapsed: 0.040 s
% 3.40/1.05 % (1809702)Peak memory usage: 89 MB
% 3.40/1.05 % (1809702)Instructions burned: 117 (million)
% 3.40/1.05 % (1809701)Also succeeded, but the first one will report.
% 3.40/1.05 % (1809759)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=1726932953:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.40/1.05 % (1809759)Also succeeded, but the first one will report.
% 3.40/1.05 % (1809698)Refutation found. Thanks to Tanya!
% 3.40/1.05 % SZS status Unsatisfiable for theBenchmark
% 3.40/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.05 % (1809698)------------------------------
% 3.40/1.05 % (1809698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.05 % (1809698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.05 % (1809698)CaDiCaL version: 2.1.3
% 3.40/1.05 % (1809698)Termination reason: Refutation
% 3.40/1.05 % (1809698)Time elapsed: 0.006 s
% 3.40/1.05 % (1809698)Peak memory usage: 89 MB
% 3.40/1.05 % (1809698)Instructions burned: 6 (million)
% 3.40/1.05 % (1809698)------------------------------
% 3.40/1.05 % (1809698)------------------------------
% 3.40/1.05 % (1809664)Success in time 0.424 s
% 3.40/1.05 % Vampire exiting
%------------------------------------------------------------------------------