%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:05:46 PM UTC 2026
% Result : Unsatisfiable 0.11s 5.48s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 23 unt; 2 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 53 ( 27 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-5 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ p(X0,X1,X2,X3,s0)
| p(X0,X1,X2,X3,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ p(X0,X1,X2,s0,s1)
| p(X0,X1,X2,s1,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ p(X0,X1,s0,s1,s1)
| p(X0,X1,s1,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).
fof(f5,axiom,
! [X0] :
( ~ p(X0,s0,s1,s1,s1)
| p(X0,s1,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4) ).
fof(f6,axiom,
( ~ p(s0,s1,s1,s1,s1)
| p(s1,s0,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).
fof(f7,negated_conjecture,
~ p(s1,s1,s1,s1,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f9,definition,
( spl0_1
<=> p(s1,s0,s0,s0,s0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( p(s1,s0,s0,s0,s0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_2
<=> p(s0,s1,s1,s1,s1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f16,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6,f13,f9]) ).
fof(f17,plain,
p(s0,s0,s0,s0,s1),
inference(resolution,[],[f2,f1]) ).
fof(f18,plain,
p(s0,s0,s0,s1,s0),
inference(resolution,[],[f3,f17]) ).
fof(f19,plain,
p(s0,s0,s0,s1,s1),
inference(resolution,[],[f18,f2]) ).
fof(f20,plain,
p(s0,s0,s1,s0,s0),
inference(resolution,[],[f19,f4]) ).
fof(f21,plain,
p(s0,s0,s1,s0,s1),
inference(resolution,[],[f20,f2]) ).
fof(f22,plain,
p(s0,s0,s1,s1,s0),
inference(resolution,[],[f21,f3]) ).
fof(f23,plain,
p(s0,s0,s1,s1,s1),
inference(resolution,[],[f22,f2]) ).
fof(f24,plain,
p(s0,s1,s0,s0,s0),
inference(resolution,[],[f23,f5]) ).
fof(f25,plain,
p(s0,s1,s0,s0,s1),
inference(resolution,[],[f24,f2]) ).
fof(f26,plain,
p(s0,s1,s0,s1,s0),
inference(resolution,[],[f25,f3]) ).
fof(f27,plain,
p(s0,s1,s0,s1,s1),
inference(resolution,[],[f26,f2]) ).
fof(f28,plain,
p(s0,s1,s1,s0,s0),
inference(resolution,[],[f27,f4]) ).
fof(f29,plain,
p(s0,s1,s1,s0,s1),
inference(resolution,[],[f28,f2]) ).
fof(f30,plain,
p(s0,s1,s1,s1,s0),
inference(resolution,[],[f29,f3]) ).
fof(f31,plain,
p(s0,s1,s1,s1,s1),
inference(resolution,[],[f30,f2]) ).
fof(f34,plain,
spl0_2,
inference(avatar_split_clause,[],[f31,f13]) ).
fof(f35,plain,
( p(s1,s0,s0,s0,s1)
| ~ spl0_1 ),
inference(resolution,[],[f11,f2]) ).
fof(f36,plain,
( p(s1,s0,s0,s1,s0)
| ~ spl0_1 ),
inference(resolution,[],[f35,f3]) ).
fof(f37,plain,
( p(s1,s0,s0,s1,s1)
| ~ spl0_1 ),
inference(resolution,[],[f36,f2]) ).
fof(f38,plain,
( p(s1,s0,s1,s0,s0)
| ~ spl0_1 ),
inference(resolution,[],[f37,f4]) ).
fof(f39,plain,
( p(s1,s0,s1,s0,s1)
| ~ spl0_1 ),
inference(resolution,[],[f38,f2]) ).
fof(f40,plain,
( p(s1,s0,s1,s1,s0)
| ~ spl0_1 ),
inference(resolution,[],[f39,f3]) ).
fof(f41,plain,
( p(s1,s0,s1,s1,s1)
| ~ spl0_1 ),
inference(resolution,[],[f40,f2]) ).
fof(f42,plain,
( p(s1,s1,s0,s0,s0)
| ~ spl0_1 ),
inference(resolution,[],[f41,f5]) ).
fof(f43,plain,
( p(s1,s1,s0,s0,s1)
| ~ spl0_1 ),
inference(resolution,[],[f42,f2]) ).
fof(f44,plain,
( p(s1,s1,s0,s1,s0)
| ~ spl0_1 ),
inference(resolution,[],[f43,f3]) ).
fof(f45,plain,
( p(s1,s1,s0,s1,s1)
| ~ spl0_1 ),
inference(resolution,[],[f44,f2]) ).
fof(f46,plain,
( p(s1,s1,s1,s0,s0)
| ~ spl0_1 ),
inference(resolution,[],[f45,f4]) ).
fof(f47,plain,
( p(s1,s1,s1,s0,s1)
| ~ spl0_1 ),
inference(resolution,[],[f46,f2]) ).
fof(f48,plain,
( p(s1,s1,s1,s1,s0)
| ~ spl0_1 ),
inference(resolution,[],[f47,f3]) ).
fof(f49,plain,
( p(s1,s1,s1,s1,s1)
| ~ spl0_1 ),
inference(resolution,[],[f48,f2]) ).
fof(f50,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f49,f7]) ).
fof(f51,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f50]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f16]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f34]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f51]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f52,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/5.40 % Computer : n017.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.11/5.40 % CPULimit : 300
% 0.11/5.40 % WCLimit : 300
% 0.11/5.40 % DateTime : Sun Sep 27 17:37:10 UTC 2026
% 0.11/5.41 % CPUTime :
% 0.11/5.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/5.44 Running first-order model finding
% 0.11/5.44 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
% 0.11/5.48 % (2828876)Will run a generic schedule for satisfiability detection.
% 0.11/5.48 % (2828884)dis+10_1_sil=32000:sp=arity:random_seed=1554548247:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/5.48 % (2828884) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2828876-2828884"...
% 0.11/5.48 % (2828884)...printing done.
% 0.11/5.48 % (2828882)% WARNING: option uhcvi not known.
% 0.11/5.48 % (2828884)Refutation found. Thanks to Tanya!
% 0.11/5.48 % SZS status Unsatisfiable for theBenchmark
% 0.11/5.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/5.48 % (2828884)------------------------------
% 0.11/5.48 % (2828884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/5.48 % (2828884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/5.48 % (2828884)CaDiCaL version: 2.1.3
% 0.11/5.48 % (2828884)Termination reason: Refutation
% 0.11/5.48 % (2828884)Time elapsed: 0.001 s
% 0.11/5.48 % (2828884)Peak memory usage: 12 MB
% 0.11/5.48 % (2828884)Instructions burned: 2 (million)
% 0.11/5.48 % (2828876)Success in time 0.031 s
% 0.11/5.48 % Vampire exiting
%------------------------------------------------------------------------------