%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV232+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 01:20:31 PM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 119 ( 86 equ)
% Maximal formula atoms : 28 ( 13 avg)
% Number of connectives : 167 ( 57 ~; 24 |; 78 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
=> ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,n2) )
=> ( ( ~ ( n0 = X2
& n1 = X3 )
& ~ ( n0 = X2
& n2 = X3 )
& ~ ( n0 = X3
& n2 = X2 )
& ~ ( n1 = X2
& n1 = X3 )
& ~ ( n1 = X2
& n2 = X3 )
& ~ ( n1 = X3
& n2 = X2 )
& ~ ( n2 = X2
& n2 = X3 )
& n0 = X3
& n1 = X2
& n1 = X3
& n2 = X2 )
=> a_select2(rho,n1) = n0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0841) ).
fof(f54,negated_conjecture,
~ ( ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
=> ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,n2) )
=> ( ( ~ ( n0 = X2
& n1 = X3 )
& ~ ( n0 = X2
& n2 = X3 )
& ~ ( n0 = X3
& n2 = X2 )
& ~ ( n1 = X2
& n1 = X3 )
& ~ ( n1 = X2
& n2 = X3 )
& ~ ( n1 = X3
& n2 = X2 )
& ~ ( n2 = X2
& n2 = X3 )
& n0 = X3
& n1 = X2
& n1 = X3
& n2 = X2 )
=> a_select2(rho,n1) = n0 ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f136,plain,
( ? [X2,X3] :
( n0 != a_select2(rho,n1)
& ( n0 != X2
| n1 != X3 )
& ( n0 != X2
| n2 != X3 )
& ( n0 != X3
| n2 != X2 )
& ( n1 != X2
| n1 != X3 )
& ( n1 != X2
| n2 != X3 )
& ( n1 != X3
| n2 != X2 )
& ( n2 != X2
| n2 != X3 )
& n0 = X3
& n1 = X2
& n1 = X3
& n2 = X2
& leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,n2) )
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( ? [X2,X3] :
( n0 != a_select2(rho,n1)
& ( n0 != X2
| n1 != X3 )
& ( n0 != X2
| n2 != X3 )
& ( n0 != X3
| n2 != X2 )
& ( n1 != X2
| n1 != X3 )
& ( n1 != X2
| n2 != X3 )
& ( n1 != X3
| n2 != X2 )
& ( n2 != X2
| n2 != X3 )
& n0 = X3
& n1 = X2
& n1 = X3
& n2 = X2
& leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,n2) )
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5) ) ),
inference(flattening,[],[f136]) ).
fof(f310,plain,
( n2 != sK31
| n0 != sK32 ),
inference(cnf_transformation,[],[f137]) ).
fof(f319,plain,
n2 = sK31,
inference(cnf_transformation,[],[f137]) ).
fof(f322,plain,
n0 = sK32,
inference(cnf_transformation,[],[f137]) ).
fof(f482,plain,
( sK31 != sK31
| sK32 != sK32 ),
inference(definition_unfolding,[],[f310,f319,f322]) ).
fof(f661,plain,
$false,
inference(trivial_inequality_removal,[],[f482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV232+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:16:52 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.26 % (252677)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (252683)% WARNING: option uhcvi not known.
% 0.09/0.26 % (252683)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2174721399:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (252683) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-252677-252683"...
% 0.09/0.26 % (252683)...printing done.
% 0.09/0.26 % (252683)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (252683)------------------------------
% 0.09/0.26 % (252683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (252683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (252683)CaDiCaL version: 2.1.3
% 0.09/0.26 % (252683)Termination reason: Refutation
% 0.09/0.26 % (252683)Time elapsed: 0.003 s
% 0.09/0.26 % (252683)Peak memory usage: 12 MB
% 0.09/0.26 % (252683)Instructions burned: 10 (million)
% 0.09/0.26 % (252677)Success in time 0.031 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------