%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV123+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 : n004.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 01:20:17 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 40 ( 4 ~; 0 |; 22 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(f53,conjecture,
( geq(minus(n3,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(n2,n0)
& geq(minus(n999,n1),n0) )
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n3,n1),n0)
& geq(minus(n999,n1),n0) )
=> true ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0016) ).
fof(f54,negated_conjecture,
~ ( geq(minus(n3,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(n2,n0)
& geq(minus(n999,n1),n0) )
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n3,n1),n0)
& geq(minus(n999,n1),n0) )
=> true ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f154,plain,
( ~ true
& geq(minus(n3,n1),n0)
& geq(minus(n999,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0)
& geq(n2,n0)
& geq(minus(n999,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n3,n1),n0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f155,plain,
( ~ true
& geq(minus(n3,n1),n0)
& geq(minus(n999,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0)
& geq(n2,n0)
& geq(minus(n999,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n3,n1),n0) ),
inference(flattening,[],[f154]) ).
fof(f320,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f331,plain,
~ true,
inference(cnf_transformation,[],[f155]) ).
fof(f411,plain,
$false,
inference(global_subsumption,[],[f320,f331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV123+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n004.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 09:57:19 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
% 0.20/0.27 % (252844)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (252849)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3130125691_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (252850)% WARNING: option uhcvi not known.
% 0.20/0.27 % (252850)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=39251610:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (252851)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4040724636:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (252852)dis+10_1_sil=32000:sp=arity:random_seed=954628608:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (252853)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1655218171:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (252854)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2877667320:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (252855)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1207735107:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (252851) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-252844-252851"...
% 0.20/0.27 % (252852) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-252844-252852"...
% 0.20/0.27 % (252854) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-252844-252854"...
% 0.20/0.27 % (252850) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-252844-252850"...
% 0.20/0.27 % (252851)...printing done.
% 0.20/0.27 % (252852)...printing done.
% 0.20/0.27 % (252854)...printing done.
% 0.20/0.27 % (252851)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (252851)------------------------------
% 0.20/0.27 % (252851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (252851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (252851)CaDiCaL version: 2.1.3
% 0.20/0.27 % (252851)Termination reason: Refutation
% 0.20/0.27 % (252851)Time elapsed: 0.005 s
% 0.20/0.27 % (252851)Peak memory usage: 11 MB
% 0.20/0.27 % (252851)Instructions burned: 8 (million)
% 0.20/0.27 % (252844)Success in time 0.041 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------