%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN413+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 02:07:47 PM UTC 2026
% Result : Theorem 0.27s 0.26s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 18 ~; 9 |; 4 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 30 ( 24 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( f(X2,X0)
& ~ f(X2,X2) ) )
=> ~ ? [X3] :
! [X4] : f(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish256) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( f(X2,X0)
& ~ f(X2,X2) ) )
=> ~ ? [X3] :
! [X4] : f(X4,X3) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [X3] :
! [X4] : f(X4,X3)
& ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( f(X2,X0)
& ~ f(X2,X2) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X2,X0] :
( ~ f(X2,X2)
| ~ f(X2,sK1(X0)) ),
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
! [X2,X0] :
( ~ f(X2,sK1(X0))
| f(X2,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
! [X2,X0] :
( f(X2,X2)
| f(X2,sK1(X0))
| ~ f(X2,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f7,plain,
! [X4] : f(X4,sK0),
inference(cnf_transformation,[],[f3]) ).
fof(f10,plain,
! [X0,X1] :
( f(sK1(X0),sK1(X1))
| ~ f(sK1(X0),X1)
| ~ f(sK1(X0),sK1(X0)) ),
inference(resolution,[],[f6,f4]) ).
fof(f13,plain,
! [X0] :
( f(sK1(X0),sK1(X0))
| ~ f(sK1(X0),X0) ),
inference(factoring,[],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( f(sK1(X0),sK1(X1))
| ~ f(sK1(X0),X1) ),
inference(forward_subsumption_resolution,[],[f10,f6]) ).
fof(f16,plain,
! [X0] :
( ~ f(sK1(X0),X0)
| ~ f(sK1(X0),sK1(X0)) ),
inference(resolution,[],[f13,f4]) ).
fof(f18,plain,
! [X0] : ~ f(sK1(X0),sK1(X0)),
inference(forward_subsumption_resolution,[],[f16,f5]) ).
fof(f23,plain,
! [X0] : ~ f(sK1(X0),X0),
inference(resolution,[],[f18,f14]) ).
fof(f36,plain,
$false,
inference(resolution,[],[f23,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN413+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n014.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 15:54:30 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.27/0.26 % (1892412)Will run a generic schedule for satisfiability detection.
% 0.27/0.26 % (1892421)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=523866163:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.27/0.26 % (1892421) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1892412-1892421"...
% 0.27/0.26 % (1892421)...printing done.
% 0.27/0.26 % (1892421)Refutation found. Thanks to Tanya!
% 0.27/0.26 % SZS status Theorem for theBenchmark
% 0.27/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.26 % (1892421)------------------------------
% 0.27/0.26 % (1892421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.26 % (1892421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.26 % (1892421)CaDiCaL version: 2.1.3
% 0.27/0.26 % (1892421)Termination reason: Refutation
% 0.27/0.26 % (1892421)Time elapsed: 0.001 s
% 0.27/0.26 % (1892421)Peak memory usage: 11 MB
% 0.27/0.26 % (1892421)Instructions burned: 1 (million)
% 0.27/0.26 % (1892412)Success in time 0.029 s
% 0.27/0.26 % Vampire exiting
%------------------------------------------------------------------------------