%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN311-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 02:07:15 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.28s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 21 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] :
( p(X0,X1,X2,X3)
| ~ p(X1,X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X3,X0,X1] :
( p(X0,X1,X2,X3)
| ~ p(X3,X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X3,X0,X1] :
( p(X0,X1,X2,g(X3))
| ~ p(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X3,X0,X1] :
( p(f(X0),X1,X2,X3)
| ~ p(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
p(a,b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( p(X3,X0,X1,X2)
| ~ p(X1,X2,X3,X0) ),
inference(resolution,[],[f1,f1]) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( ~ p(X3,X2,X1,X0)
| p(X3,X0,X1,X2) ),
inference(resolution,[],[f2,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( p(X3,X2,X1,X0)
| ~ p(X1,X2,X3,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f14,plain,
! [X2,X3,X0,X1] :
( p(g(X3),X0,X1,X2)
| ~ p(X0,X1,X2,X3) ),
inference(resolution,[],[f3,f1]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( p(X2,X3,X0,X1)
| ~ p(X1,X2,X3,X0) ),
inference(resolution,[],[f8,f1]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( p(f(X0),X3,X2,X1)
| ~ p(X0,X1,X2,X3) ),
inference(resolution,[],[f10,f4]) ).
fof(f35,plain,
~ p(g(d),f(g(c)),f(g(b)),f(g(a))),
inference(resolution,[],[f6,f4]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( p(X2,X1,f(X0),X3)
| ~ p(X0,X1,X2,X3) ),
inference(resolution,[],[f12,f4]) ).
fof(f115,plain,
~ p(f(g(c)),f(g(b)),f(g(a)),d),
inference(resolution,[],[f35,f14]) ).
fof(f197,plain,
~ p(g(c),d,f(g(a)),f(g(b))),
inference(resolution,[],[f115,f30]) ).
fof(f217,plain,
~ p(d,f(g(a)),f(g(b)),c),
inference(resolution,[],[f197,f14]) ).
fof(f232,plain,
~ p(g(b),f(g(a)),d,c),
inference(resolution,[],[f217,f52]) ).
fof(f246,plain,
~ p(f(g(a)),d,c,b),
inference(resolution,[],[f232,f14]) ).
fof(f260,plain,
~ p(g(a),b,c,d),
inference(resolution,[],[f246,f30]) ).
fof(f275,plain,
~ p(b,c,d,a),
inference(resolution,[],[f260,f14]) ).
fof(f291,plain,
~ p(a,b,c,d),
inference(resolution,[],[f275,f20]) ).
fof(f292,plain,
$false,
inference(forward_subsumption_resolution,[],[f291,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN311-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n015.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:44:17 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.28 % (2734399)Will run a generic schedule for satisfiability detection.
% 0.10/0.28 % (2734408)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1084096218:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.28 % (2734408) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2734399-2734408"...
% 0.10/0.28 % (2734405)% WARNING: option uhcvi not known.
% 0.10/0.28 % (2734408)...printing done.
% 0.10/0.28 % (2734408)Refutation found. Thanks to Tanya!
% 0.10/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.28 % (2734408)------------------------------
% 0.10/0.28 % (2734408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.28 % (2734408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.28 % (2734408)CaDiCaL version: 2.1.3
% 0.10/0.28 % (2734408)Termination reason: Refutation
% 0.10/0.28 % (2734408)Time elapsed: 0.003 s
% 0.10/0.28 % (2734408)Peak memory usage: 11 MB
% 0.10/0.28 % (2734408)Instructions burned: 9 (million)
% 0.10/0.28 % (2734399)Success in time 0.035 s
% 0.10/0.28 % Vampire exiting
%------------------------------------------------------------------------------