%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MSC006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:05:43 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 13 unt; 3 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 25 ~; 27 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ p(X1,X2)
| ~ p(X0,X1)
| p(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_transitivity) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ q(X1,X2)
| ~ q(X0,X1)
| q(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_transitivity) ).
fof(f3,axiom,
! [X0,X1] :
( ~ q(X0,X1)
| q(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_symmetry) ).
fof(f4,axiom,
! [X0,X1] :
( p(X0,X1)
| q(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_related) ).
fof(f5,axiom,
~ p(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_is_not_total) ).
fof(f6,negated_conjecture,
~ q(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q_is_total) ).
fof(f11,definition,
( spl0_2
<=> ! [X0,X1] : q(X1,X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f12,plain,
( ! [X0,X1] : q(X1,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f12,f6]) ).
fof(f17,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f15]) ).
fof(f21,plain,
q(a,b),
inference(resolution,[],[f4,f5]) ).
fof(f24,plain,
q(b,a),
inference(resolution,[],[f21,f3]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ p(X0,X1)
| p(X0,X2)
| q(X1,X2) ),
inference(resolution,[],[f1,f4]) ).
fof(f32,plain,
! [X0] :
( ~ q(X0,a)
| q(X0,b) ),
inference(resolution,[],[f2,f21]) ).
fof(f33,plain,
! [X0] :
( ~ q(X0,b)
| q(X0,a) ),
inference(resolution,[],[f2,f24]) ).
fof(f34,plain,
! [X2,X0,X1] :
( p(X0,X1)
| q(X2,X1)
| q(X0,X2) ),
inference(resolution,[],[f29,f4]) ).
fof(f39,definition,
( spl0_6
<=> ! [X0] : q(X0,b) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f40,plain,
( ! [X0] : q(X0,b)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f49,plain,
( ! [X0] : q(b,X0)
| ~ spl0_6 ),
inference(resolution,[],[f40,f3]) ).
fof(f50,plain,
( ! [X0,X1] :
( ~ q(X0,b)
| q(X0,X1) )
| ~ spl0_6 ),
inference(resolution,[],[f49,f2]) ).
fof(f53,plain,
( ! [X0,X1] : q(X0,X1)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f50,f40]) ).
fof(f54,plain,
( spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f53,f39,f11]) ).
fof(f61,definition,
( spl0_8
<=> ! [X0] : q(X0,a) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f62,plain,
( ! [X0] : q(X0,a)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f69,plain,
( ! [X0] : q(X0,b)
| ~ spl0_8 ),
inference(resolution,[],[f62,f32]) ).
fof(f72,plain,
( spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f69,f61,f39]) ).
fof(f76,plain,
! [X0] :
( q(X0,b)
| q(a,X0) ),
inference(resolution,[],[f34,f5]) ).
fof(f93,plain,
! [X0] :
( q(X0,b)
| q(X0,a) ),
inference(resolution,[],[f76,f3]) ).
fof(f94,plain,
! [X0] : q(X0,a),
inference(forward_subsumption_resolution,[],[f93,f33]) ).
fof(f101,plain,
spl0_8,
inference(avatar_split_clause,[],[f94,f61]) ).
cnf(s16,plain,
~ spl0_2,
inference(sat_conversion,[],[f17]) ).
cnf(s52,plain,
( spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f54]) ).
cnf(s66,plain,
( spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f72]) ).
cnf(s92,plain,
spl0_8,
inference(sat_conversion,[],[f101]) ).
cnf(s93,plain,
spl0_6,
inference(rat,[],[s66,s92]) ).
cnf(s94,plain,
spl0_2,
inference(rat,[],[s52,s93]) ).
cnf(s95,plain,
$false,
inference(rat,[],[s16,s94]) ).
fof(f102,plain,
$false,
inference(avatar_sat_refutation,[],[s95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:43:11 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (3092422)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (3092433)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=666474985:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (3092433) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3092422-3092433"...
% 0.12/0.45 % (3092432)% WARNING: option uhcvi not known.
% 0.12/0.45 % (3092433)...printing done.
% 0.12/0.45 % (3092433)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (3092433)------------------------------
% 0.12/0.45 % (3092433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (3092433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (3092433)CaDiCaL version: 2.1.3
% 0.12/0.45 % (3092433)Termination reason: Refutation
% 0.12/0.45 % (3092433)Time elapsed: 0.002 s
% 0.12/0.45 % (3092433)Peak memory usage: 12 MB
% 0.12/0.45 % (3092433)Instructions burned: 2 (million)
% 0.12/0.45 % (3092422)Success in time 0.03 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------