%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO499+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 09:54:37 AM UTC 2026
% Result : Theorem 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 19 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,axiom,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f105,axiom,
! [X0,X1,X2,X3] :
( ~ s_t(X0,X1,X2)
| s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15a) ).
fof(f106,conjecture,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X2)
| ~ s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15b) ).
fof(f107,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( s_t(X0,X1,X2)
| ~ s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
inference(negated_conjecture,[status(cth)],[f106]) ).
fof(f118,plain,
? [X0,X1,X2,X3] :
( ~ s_t(X0,X1,X2)
& s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
inference(ennf_transformation,[],[f107]) ).
fof(f231,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f99]) ).
fof(f237,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(s(X3,X0),s(X3,X1),s(X3,X2)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f238,plain,
s_t(s(sK3,sK0),s(sK3,sK1),s(sK3,sK2)),
inference(cnf_transformation,[],[f118]) ).
fof(f239,plain,
~ s_t(sK0,sK1,sK2),
inference(cnf_transformation,[],[f118]) ).
fof(f717,plain,
! [X0] : s_t(s(X0,s(sK3,sK0)),s(X0,s(sK3,sK1)),s(X0,s(sK3,sK2))),
inference(resolution,[],[f237,f238]) ).
fof(f753,plain,
s_t(s(sK3,s(sK3,sK0)),s(sK3,s(sK3,sK1)),sK2),
inference(superposition,[],[f717,f231]) ).
fof(f755,plain,
s_t(s(sK3,s(sK3,sK0)),sK1,sK2),
inference(forward_demodulation,[],[f753,f231]) ).
fof(f758,plain,
s_t(sK0,sK1,sK2),
inference(forward_demodulation,[],[f755,f231]) ).
fof(f761,plain,
$false,
inference(forward_subsumption_resolution,[],[f758,f239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO499+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 08:27:47 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 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
% 0.14/0.47 % (2318453)Will run a generic schedule for satisfiability detection.
% 0.14/0.47 % (2318458)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2945047411_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.47 % (2318459)% WARNING: option uhcvi not known.
% 0.14/0.47 % Detected minimum model sizes of [3]
% 0.14/0.47 % Detected maximum model sizes of [max]
% 0.14/0.47 % TRYING [3]
% 0.14/0.47 % (2318459)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2748329854:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.47 % (2318460)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3264170328:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.47 % (2318461)dis+10_1_sil=32000:sp=arity:random_seed=829241380:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.47 % (2318463)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2367100592:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.47 % (2318462)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1755113776:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.47 % (2318464)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1918904697:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.47 % (2318459) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2318453-2318459"...
% 0.14/0.47 % (2318459)...printing done.
% 0.14/0.47 % (2318459)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Theorem for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47 % (2318459)------------------------------
% 0.14/0.47 % (2318459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.47 % (2318459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.47 % (2318459)CaDiCaL version: 2.1.3
% 0.14/0.47 % (2318459)Termination reason: Refutation
% 0.14/0.47 % (2318459)Time elapsed: 0.018 s
% 0.14/0.47 % (2318459)Peak memory usage: 12 MB
% 0.14/0.47 % (2318459)Instructions burned: 24 (million)
% 0.14/0.47 % (2318453)Success in time 0.062 s
% 0.14/0.47 % Vampire exiting
%------------------------------------------------------------------------------