%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN150-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:49:47 PM UTC 2026
% Result : Unsatisfiable 3.41s 1.17s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 9 unt; 2 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 20 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f110,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ s0(X1)
| ~ s0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_072) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f369,negated_conjecture,
~ n2(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f561,definition,
( spl0_56
<=> ! [X3] : ~ s0(X3) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f562,plain,
( ! [X3] : ~ s0(X3)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f861,definition,
( spl0_140
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f862,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ s0(X0) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f863,plain,
( spl0_56
| spl0_140 ),
inference(avatar_split_clause,[],[f110,f861,f561]) ).
fof(f1393,plain,
( $false
| ~ spl0_56 ),
inference(resolution,[],[f562,f1]) ).
fof(f1396,plain,
~ spl0_56,
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1625,plain,
( ! [X0] :
( n2(X0)
| ~ s0(X0) )
| ~ spl0_140 ),
inference(resolution,[],[f862,f175]) ).
fof(f1626,plain,
( ~ s0(b)
| ~ spl0_140 ),
inference(resolution,[],[f1625,f369]) ).
fof(f1627,plain,
( $false
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f1626,f5]) ).
fof(f1628,plain,
~ spl0_140,
inference(avatar_contradiction_clause,[],[f1627]) ).
cnf(s72,plain,
( spl0_56
| spl0_140 ),
inference(sat_conversion,[],[f863]) ).
cnf(s156,plain,
~ spl0_56,
inference(sat_conversion,[],[f1396]) ).
cnf(s242,plain,
~ spl0_140,
inference(sat_conversion,[],[f1628]) ).
cnf(s299,plain,
$false,
inference(rat,[],[s72,s242,s156]) ).
fof(f1629,plain,
$false,
inference(avatar_sat_refutation,[],[s299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN150-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:38:43 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.41/1.17 % (1704660)Input is clausal, will run a generic CNF schedule.
% 3.41/1.17 % (1704667)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2821695295:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.41/1.17 % (1704669)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1393394807:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.41/1.17 % (1704668)lrs+10_1_sil=8000:sp=occurrence:random_seed=2180012184:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.41/1.17 % (1704665)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=3550960518:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.41/1.17 % (1704666)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3423706837:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.41/1.17 % (1704669)First to succeed.
% 3.41/1.17 % (1704669)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1704660"
% 3.41/1.17 % (1704668)Also succeeded, but the first one will report.
% 3.41/1.17 % (1704670)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4267445296:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.41/1.17 % (1704671)dis-21_1_sil=8000:lcm=predicate:random_seed=840390021: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)
% 3.41/1.17 % (1704670)Also succeeded, but the first one will report.
% 3.41/1.17 % (1704671)Also succeeded, but the first one will report.
% 3.41/1.17 % (1704669)Refutation found. Thanks to Tanya!
% 3.41/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.41/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.17 % (1704669)------------------------------
% 3.41/1.17 % (1704669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.17 % (1704669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.17 % (1704669)CaDiCaL version: 2.1.3
% 3.41/1.17 % (1704669)Termination reason: Refutation
% 3.41/1.17 % (1704669)Time elapsed: 0.013 s
% 3.41/1.17 % (1704669)Peak memory usage: 90 MB
% 3.41/1.17 % (1704669)Instructions burned: 20 (million)
% 3.41/1.17 % (1704669)------------------------------
% 3.41/1.17 % (1704669)------------------------------
% 3.41/1.17 % (1704660)Success in time 0.415 s
% 3.41/1.17 % Vampire exiting
%------------------------------------------------------------------------------