%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV218+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 01:20:29 PM UTC 2026
% Result : Theorem 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 291 ( 274 equ)
% Maximal formula atoms : 71 ( 32 avg)
% Number of connectives : 475 ( 193 ~; 64 |; 214 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 20 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 8 ( 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
=> ( ( ~ ( n0 = X0
& n5 = X1 )
& ~ ( n0 = X1
& n1 = X0 )
& ~ ( n0 = X1
& n2 = X0 )
& ~ ( n0 = X1
& n3 = X0 )
& ~ ( n0 = X1
& n4 = X0 )
& ~ ( n0 = X1
& n5 = X0 )
& ~ ( n1 = X0
& n1 = X1 )
& ~ ( n1 = X0
& n2 = X1 )
& ~ ( n1 = X0
& n3 = X1 )
& ~ ( n1 = X0
& n4 = X1 )
& ~ ( n1 = X0
& n5 = X1 )
& ~ ( n1 = X1
& n2 = X0 )
& ~ ( n1 = X1
& n3 = X0 )
& ~ ( n1 = X1
& n4 = X0 )
& ~ ( n1 = X1
& n5 = X0 )
& ~ ( n2 = X0
& n2 = X1 )
& ~ ( n2 = X0
& n3 = X1 )
& ~ ( n2 = X0
& n4 = X1 )
& ~ ( n2 = X0
& n5 = X1 )
& ~ ( n2 = X1
& n3 = X0 )
& ~ ( n2 = X1
& n4 = X0 )
& ~ ( n2 = X1
& n5 = X0 )
& ~ ( n3 = X0
& n3 = X1 )
& ~ ( n3 = X0
& n4 = X1 )
& ~ ( n3 = X0
& n5 = X1 )
& ~ ( n3 = X1
& n4 = X0 )
& ~ ( n3 = X1
& n5 = X0 )
& ~ ( n4 = X0
& n4 = X1 )
& ~ ( n4 = X0
& n5 = X1 )
& ~ ( n4 = X1
& n5 = X0 )
& ~ ( n5 = X0
& n5 = X1 )
& n0 = X0
& n4 = X1
& n5 = X0
& n5 = X1 )
=> n0 = times(divide(n1,n400),a_select2(sigma,n5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0281) ).
fof(f54,negated_conjecture,
~ ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
=> ( ( ~ ( n0 = X0
& n5 = X1 )
& ~ ( n0 = X1
& n1 = X0 )
& ~ ( n0 = X1
& n2 = X0 )
& ~ ( n0 = X1
& n3 = X0 )
& ~ ( n0 = X1
& n4 = X0 )
& ~ ( n0 = X1
& n5 = X0 )
& ~ ( n1 = X0
& n1 = X1 )
& ~ ( n1 = X0
& n2 = X1 )
& ~ ( n1 = X0
& n3 = X1 )
& ~ ( n1 = X0
& n4 = X1 )
& ~ ( n1 = X0
& n5 = X1 )
& ~ ( n1 = X1
& n2 = X0 )
& ~ ( n1 = X1
& n3 = X0 )
& ~ ( n1 = X1
& n4 = X0 )
& ~ ( n1 = X1
& n5 = X0 )
& ~ ( n2 = X0
& n2 = X1 )
& ~ ( n2 = X0
& n3 = X1 )
& ~ ( n2 = X0
& n4 = X1 )
& ~ ( n2 = X0
& n5 = X1 )
& ~ ( n2 = X1
& n3 = X0 )
& ~ ( n2 = X1
& n4 = X0 )
& ~ ( n2 = X1
& n5 = X0 )
& ~ ( n3 = X0
& n3 = X1 )
& ~ ( n3 = X0
& n4 = X1 )
& ~ ( n3 = X0
& n5 = X1 )
& ~ ( n3 = X1
& n4 = X0 )
& ~ ( n3 = X1
& n5 = X0 )
& ~ ( n4 = X0
& n4 = X1 )
& ~ ( n4 = X0
& n5 = X1 )
& ~ ( n4 = X1
& n5 = X0 )
& ~ ( n5 = X0
& n5 = X1 )
& n0 = X0
& n4 = X1
& n5 = X0
& n5 = X1 )
=> n0 = times(divide(n1,n400),a_select2(sigma,n5)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
? [X0,X1] :
( n0 != times(divide(n1,n400),a_select2(sigma,n5))
& ( n0 != X0
| n5 != X1 )
& ( n0 != X1
| n1 != X0 )
& ( n0 != X1
| n2 != X0 )
& ( n0 != X1
| n3 != X0 )
& ( n0 != X1
| n4 != X0 )
& ( n0 != X1
| n5 != X0 )
& ( n1 != X0
| n1 != X1 )
& ( n1 != X0
| n2 != X1 )
& ( n1 != X0
| n3 != X1 )
& ( n1 != X0
| n4 != X1 )
& ( n1 != X0
| n5 != X1 )
& ( n1 != X1
| n2 != X0 )
& ( n1 != X1
| n3 != X0 )
& ( n1 != X1
| n4 != X0 )
& ( n1 != X1
| n5 != X0 )
& ( n2 != X0
| n2 != X1 )
& ( n2 != X0
| n3 != X1 )
& ( n2 != X0
| n4 != X1 )
& ( n2 != X0
| n5 != X1 )
& ( n2 != X1
| n3 != X0 )
& ( n2 != X1
| n4 != X0 )
& ( n2 != X1
| n5 != X0 )
& ( n3 != X0
| n3 != X1 )
& ( n3 != X0
| n4 != X1 )
& ( n3 != X0
| n5 != X1 )
& ( n3 != X1
| n4 != X0 )
& ( n3 != X1
| n5 != X0 )
& ( n4 != X0
| n4 != X1 )
& ( n4 != X0
| n5 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n5 != X0
| n5 != X1 )
& n0 = X0
& n4 = X1
& n5 = X0
& n5 = X1
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
? [X0,X1] :
( n0 != times(divide(n1,n400),a_select2(sigma,n5))
& ( n0 != X0
| n5 != X1 )
& ( n0 != X1
| n1 != X0 )
& ( n0 != X1
| n2 != X0 )
& ( n0 != X1
| n3 != X0 )
& ( n0 != X1
| n4 != X0 )
& ( n0 != X1
| n5 != X0 )
& ( n1 != X0
| n1 != X1 )
& ( n1 != X0
| n2 != X1 )
& ( n1 != X0
| n3 != X1 )
& ( n1 != X0
| n4 != X1 )
& ( n1 != X0
| n5 != X1 )
& ( n1 != X1
| n2 != X0 )
& ( n1 != X1
| n3 != X0 )
& ( n1 != X1
| n4 != X0 )
& ( n1 != X1
| n5 != X0 )
& ( n2 != X0
| n2 != X1 )
& ( n2 != X0
| n3 != X1 )
& ( n2 != X0
| n4 != X1 )
& ( n2 != X0
| n5 != X1 )
& ( n2 != X1
| n3 != X0 )
& ( n2 != X1
| n4 != X0 )
& ( n2 != X1
| n5 != X0 )
& ( n3 != X0
| n3 != X1 )
& ( n3 != X0
| n4 != X1 )
& ( n3 != X0
| n5 != X1 )
& ( n3 != X1
| n4 != X0 )
& ( n3 != X1
| n5 != X0 )
& ( n4 != X0
| n4 != X1 )
& ( n4 != X0
| n5 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n5 != X0
| n5 != X1 )
& n0 = X0
& n4 = X1
& n5 = X0
& n5 = X1
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) ),
inference(flattening,[],[f143]) ).
fof(f344,plain,
( n5 != sK31
| n4 != sK32 ),
inference(cnf_transformation,[],[f144]) ).
fof(f351,plain,
n5 = sK31,
inference(cnf_transformation,[],[f144]) ).
fof(f352,plain,
n4 = sK32,
inference(cnf_transformation,[],[f144]) ).
fof(f513,plain,
( sK31 != sK31
| sK32 != sK32 ),
inference(definition_unfolding,[],[f344,f351,f352]) ).
fof(f578,plain,
$false,
inference(trivial_inequality_removal,[],[f513]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV218+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 10:13:30 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 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
% 0.18/0.27 % (2935420)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (2935433)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2918800302:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.27 % (2935430)% WARNING: option uhcvi not known.
% 0.18/0.27 % (2935433) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2935420-2935433"...
% 0.18/0.27 % (2935433)...printing done.
% 0.18/0.27 % (2935433)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Theorem for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (2935433)------------------------------
% 0.18/0.27 % (2935433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (2935433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (2935433)CaDiCaL version: 2.1.3
% 0.18/0.27 % (2935433)Termination reason: Refutation
% 0.18/0.27 % (2935433)Time elapsed: 0.005 s
% 0.18/0.27 % (2935433)Peak memory usage: 12 MB
% 0.18/0.27 % (2935433)Instructions burned: 15 (million)
% 0.18/0.27 % (2935420)Success in time 0.037 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------