%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV219+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 : n010.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 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 169 ( 148 equ)
% Maximal formula atoms : 32 ( 14 avg)
% Number of connectives : 262 ( 105 ~; 38 |; 115 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 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
& n5 = X0 )
& ~ ( n1 = X0
& n5 = X1 )
& ~ ( n1 = X1
& n5 = X0 )
& ~ ( n2 = X0
& n5 = X1 )
& ~ ( n2 = X1
& n5 = X0 )
& ~ ( n3 = X0
& n5 = X1 )
& ~ ( n3 = X1
& n5 = X0 )
& ~ ( n4 = X0
& n4 = X1 )
& ~ ( n4 = X0
& n5 = X1 )
& ~ ( n4 = X1
& n5 = X0 )
& ~ ( n5 = X0
& n5 = X1 )
& n3 = X0
& n4 = X0
& n4 = X1 )
=> times(divide(n1,n400),a_select2(sigma,n4)) = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0321) ).
fof(f54,negated_conjecture,
~ ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
=> ( ( ~ ( n0 = X0
& n5 = X1 )
& ~ ( n0 = X1
& n5 = X0 )
& ~ ( n1 = X0
& n5 = X1 )
& ~ ( n1 = X1
& n5 = X0 )
& ~ ( n2 = X0
& n5 = X1 )
& ~ ( n2 = X1
& n5 = X0 )
& ~ ( n3 = X0
& n5 = X1 )
& ~ ( n3 = X1
& n5 = X0 )
& ~ ( n4 = X0
& n4 = X1 )
& ~ ( n4 = X0
& n5 = X1 )
& ~ ( n4 = X1
& n5 = X0 )
& ~ ( n5 = X0
& n5 = X1 )
& n3 = X0
& n4 = X0
& n4 = X1 )
=> times(divide(n1,n400),a_select2(sigma,n4)) = n0 ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
? [X0,X1] :
( n0 != times(divide(n1,n400),a_select2(sigma,n4))
& ( n0 != X0
| n5 != X1 )
& ( n0 != X1
| n5 != X0 )
& ( n1 != X0
| n5 != X1 )
& ( n1 != X1
| n5 != X0 )
& ( n2 != X0
| n5 != X1 )
& ( n2 != X1
| n5 != X0 )
& ( n3 != X0
| n5 != X1 )
& ( n3 != X1
| n5 != X0 )
& ( n4 != X0
| n4 != X1 )
& ( n4 != X0
| n5 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n5 != X0
| n5 != X1 )
& n3 = X0
& n4 = X0
& n4 = 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,n4))
& ( n0 != X0
| n5 != X1 )
& ( n0 != X1
| n5 != X0 )
& ( n1 != X0
| n5 != X1 )
& ( n1 != X1
| n5 != X0 )
& ( n2 != X0
| n5 != X1 )
& ( n2 != X1
| n5 != X0 )
& ( n3 != X0
| n5 != X1 )
& ( n3 != X1
| n5 != X0 )
& ( n4 != X0
| n4 != X1 )
& ( n4 != X0
| n5 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n5 != X0
| n5 != X1 )
& n3 = X0
& n4 = X0
& n4 = X1
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) ),
inference(flattening,[],[f143]) ).
fof(f197,plain,
( n0 != times(divide(n1,n400),a_select2(sigma,n4))
& ( n0 != sK31
| n5 != sK32 )
& ( n0 != sK32
| n5 != sK31 )
& ( n1 != sK31
| n5 != sK32 )
& ( n1 != sK32
| n5 != sK31 )
& ( n2 != sK31
| n5 != sK32 )
& ( n2 != sK32
| n5 != sK31 )
& ( n3 != sK31
| n5 != sK32 )
& ( n3 != sK32
| n5 != sK31 )
& ( n4 != sK31
| n4 != sK32 )
& ( n4 != sK31
| n5 != sK32 )
& ( n4 != sK32
| n5 != sK31 )
& ( n5 != sK31
| n5 != sK32 )
& n3 = sK31
& n4 = sK31
& n4 = sK32
& leq(n0,sK31)
& leq(n0,sK32)
& leq(sK31,n5)
& leq(sK32,n5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f144]) ).
fof(f312,plain,
n4 = sK32,
inference(cnf_transformation,[],[f197]) ).
fof(f313,plain,
n4 = sK31,
inference(cnf_transformation,[],[f197]) ).
fof(f318,plain,
( n4 != sK31
| n4 != sK32 ),
inference(cnf_transformation,[],[f197]) ).
fof(f391,plain,
( sK31 != sK31
| sK31 != sK32 ),
inference(definition_unfolding,[],[f318,f313,f313]) ).
fof(f394,plain,
sK31 = sK32,
inference(definition_unfolding,[],[f312,f313]) ).
fof(f422,plain,
sK31 != sK32,
inference(trivial_inequality_removal,[],[f391]) ).
fof(f425,plain,
$false,
inference(global_subsumption,[],[f422,f394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV219+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n010.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 10:13:32 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.29 % (1825238)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (1825243)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2037971304_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (1825244)% WARNING: option uhcvi not known.
% 0.20/0.29 % (1825245)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2647645427:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (1825244)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1336666662:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (1825246)dis+10_1_sil=32000:sp=arity:random_seed=3475053051:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (1825247)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3960857583:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (1825249)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3260142998:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (1825248)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=238730562:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (1825245) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1825238-1825245"...
% 0.20/0.29 % (1825246) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1825238-1825246"...
% 0.20/0.29 % (1825245)...printing done.
% 0.20/0.29 % (1825244) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1825238-1825244"...
% 0.20/0.29 % (1825245)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (1825245)------------------------------
% 0.20/0.29 % (1825245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1825245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1825245)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1825245)Termination reason: Refutation
% 0.20/0.29 % (1825245)Time elapsed: 0.005 s
% 0.20/0.29 % (1825245)Peak memory usage: 11 MB
% 0.20/0.29 % (1825245)Instructions burned: 9 (million)
% 0.20/0.29 % (1825238)Success in time 0.043 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------