%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN268-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 02:07:09 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.26s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 11 unt; 2 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 13 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f197,axiom,
! [X0] :
( ~ k1(X0)
| p2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_159) ).
fof(f244,axiom,
! [X0,X1] :
( k3(X0,X1,X0)
| ~ p2(X1,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_206) ).
fof(f325,axiom,
! [X0,X1] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ p4(a,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f847,definition,
( spl0_121
<=> p2(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f849,plain,
( p2(a,a,a)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f1208,definition,
( spl0_211
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
fof(f1209,plain,
( k1(a)
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1210,plain,
( ~ k1(a)
| spl0_211 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1356,plain,
( ! [X0] : ~ n0(X0,a)
| spl0_211 ),
inference(resolution,[],[f1210,f39]) ).
fof(f1378,plain,
( $false
| spl0_211 ),
inference(resolution,[],[f1356,f37]) ).
fof(f1379,plain,
spl0_211,
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1455,plain,
( p2(a,a,a)
| ~ spl0_211 ),
inference(resolution,[],[f197,f1209]) ).
fof(f1457,plain,
( spl0_121
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f1455,f1208,f847]) ).
fof(f1702,plain,
! [X0] : ~ k3(a,a,X0),
inference(resolution,[],[f325,f369]) ).
fof(f1727,plain,
~ p2(a,a,a),
inference(resolution,[],[f1702,f244]) ).
fof(f1729,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f1727,f849]) ).
fof(f1730,plain,
~ spl0_121,
inference(avatar_contradiction_clause,[],[f1729]) ).
cnf(s169,plain,
spl0_211,
inference(sat_conversion,[],[f1379]) ).
cnf(s193,plain,
( spl0_121
| ~ spl0_211 ),
inference(sat_conversion,[],[f1457]) ).
cnf(s222,plain,
~ spl0_121,
inference(sat_conversion,[],[f1730]) ).
cnf(s224,plain,
~ spl0_211,
inference(rat,[],[s193,s222]) ).
cnf(s225,plain,
$false,
inference(rat,[],[s169,s224]) ).
fof(f1731,plain,
$false,
inference(avatar_sat_refutation,[],[s225]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN268-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n013.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 15:39:41 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 Running first-order model finding
% 0.11/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.26 % (1284128)Will run a generic schedule for satisfiability detection.
% 0.11/0.26 % (1284137)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2089078669:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.26 % (1284134)% WARNING: option uhcvi not known.
% 0.11/0.26 % (1284133)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2579857505_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.26 % (1284134)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=76940793:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.26 % (1284135)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3176617414:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.26 % (1284136)dis+10_1_sil=32000:sp=arity:random_seed=1346064130:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.26 % (1284138)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2110615304:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.26 % (1284139)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=766512992:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.26 % (1284137) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1284128-1284137"...
% 0.11/0.26 % (1284137)...printing done.
% 0.11/0.26 % (1284137)Refutation found. Thanks to Tanya!
% 0.11/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.26 % (1284137)------------------------------
% 0.11/0.26 % (1284137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.26 % (1284137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.26 % (1284137)CaDiCaL version: 2.1.3
% 0.11/0.26 % (1284137)Termination reason: Refutation
% 0.11/0.26 % (1284137)Time elapsed: 0.013 s
% 0.11/0.26 % (1284137)Peak memory usage: 13 MB
% 0.11/0.26 % (1284137)Instructions burned: 39 (million)
% 0.11/0.26 % (1284128)Success in time 0.044 s
% 0.11/0.26 % Vampire exiting
%------------------------------------------------------------------------------