%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT041_1 : TPTP v9.3.1. Released v5.0.0.
% 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 09:48:00 AM UTC 2026
% Result : Theorem 0.30s 0.37s
% Output : Refutation 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : DAT041_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.24 % Computer : n004.cluster.edu
% 0.13/0.24 % Model : x86_64 x86_64
% 0.13/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.24 % Memory : 8046.5625MB
% 0.13/0.24 % OS : Linux 6.8.0-71-generic
% 0.13/0.24 % CPULimit : 300
% 0.13/0.24 % WCLimit : 300
% 0.13/0.24 % DateTime : Tue Sep 29 00:06:08 UTC 2026
% 0.13/0.25 % CPUTime :
% 0.13/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.29 Running first-order model finding
% 0.13/0.30 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
% 0.30/0.37 % (913980)Will run a generic schedule for satisfiability detection.
% 0.30/0.37 % (913987)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2135917728:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.30/0.37 % (913985)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2177474693_2999 on theBenchmark for (2999ds/0Mi)
% 0.30/0.37 % (913985)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.30/0.37 % (913985)Terminated due to inappropriate strategy.
% 0.30/0.37 % (913985)------------------------------
% 0.30/0.37 % (913985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.37 % (913985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.37 % (913985)CaDiCaL version: 2.1.3
% 0.30/0.37 % (913985)Termination reason: Inappropriate
% 0.30/0.37 % (913985)Time elapsed: 0.001 s
% 0.30/0.37 % (913985)Peak memory usage: 10 MB
% 0.30/0.37 % (913985)Instructions burned: 1 (million)
% 0.30/0.37 % (913985)------------------------------
% 0.30/0.37 % (913985)------------------------------
% 0.30/0.37 % (913986)% WARNING: option uhcvi not known.
% 0.30/0.37 % (913986)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=625525512:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.30/0.37 % (913989)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1702607930:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.30/0.37 % (913990)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1016891832:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.30/0.37 % (913991)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1045350833:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.30/0.37 % (913988)dis+10_1_sil=32000:sp=arity:random_seed=1718230148:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.30/0.37 % (913995)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1066248525:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.30/0.37 % (913995)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.30/0.37 % (913995)Terminated due to inappropriate strategy.
% 0.30/0.37 % (913995)------------------------------
% 0.30/0.37 % (913995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.37 % (913995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.37 % (913995)CaDiCaL version: 2.1.3
% 0.30/0.37 % (913995)Termination reason: Inappropriate
% 0.30/0.37 % (913995)Time elapsed: 0.002 s
% 0.30/0.37 % (913995)Peak memory usage: 10 MB
% 0.30/0.37 % (913995)Instructions burned: 1 (million)
% 0.30/0.37 % (913995)------------------------------
% 0.30/0.37 % (913995)------------------------------
% 0.30/0.37 % (913986) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-913980-913986"...
% 0.30/0.37 % (913986)...printing done.
% 0.30/0.37 % (913986)Refutation found. Thanks to Tanya!
% 0.30/0.37 % SZS status Theorem for theBenchmark
% 0.30/0.37 % SZS output start Proof for theBenchmark
% 0.30/0.37 tff(type_def_5, type, collection: $tType).
% 0.30/0.37 tff(func_def_0, type, empty: collection).
% 0.30/0.37 tff(func_def_1, type, add: ($int * collection) > collection).
% 0.30/0.37 tff(func_def_2, type, remove: ($int * collection) > collection).
% 0.30/0.37 tff(func_def_3, type, count: collection > $int).
% 0.30/0.37 tff(pred_def_1, type, in: ($int * collection) > $o).
% 0.30/0.37 tff(f2,axiom,(
% 0.30/0.37 ! [X0 : $int,X1 : collection] : in(X0,add(X0,X1))),
% 0.30/0.37 file('/export/starexec/sandbox/benchmark/Axioms/DAT002_0.ax',ax2)).
% 0.30/0.37 tff(f9,axiom,(
% 0.30/0.37 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(add(X0,X1)) = count(X1))),
% 0.30/0.37 file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax4)).
% 0.30/0.37 tff(f13,conjecture,(
% 0.30/0.37 ? [X0 : collection,X1 : $int] : $greater($sum(count(X0),1),count(add(X1,X0)))),
% 0.30/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 0.30/0.37 tff(f14,negated_conjecture,(
% 0.30/0.37 ~ ? [X0 : collection,X1 : $int] : $greater($sum(count(X0),1),count(add(X1,X0)))),
% 0.30/0.37 inference(negated_conjecture,[status(cth)],[f13])).
% 0.30/0.37 tff(f17,plain,(
% 0.30/0.37 ~ ? [X0 : collection,X1 : $int] : $less(count(add(X1,X0)),$sum(count(X0),1))),
% 0.30/0.37 inference(theory_normalization,[],[f14])).
% 0.30/0.37 tff(f23,definition,(
% 0.30/0.37 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.30/0.37 introduced(theory,[tha_non-reflexivity])).
% 0.30/0.37 tff(f27,definition,(
% 0.30/0.37 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.30/0.37 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.30/0.37 tff(f31,plain,(
% 0.30/0.37 ! [X0 : collection,X1 : $int] : ~$less(count(add(X1,X0)),$sum(count(X0),1))),
% 0.30/0.37 inference(ennf_transformation,[],[f17])).
% 0.30/0.37 tff(f33,plain,(
% 0.30/0.37 ( ! [X0 : $int,X1 : collection] : (in(X0,add(X0,X1))) )),
% 0.30/0.37 inference(cnf_transformation,[],[f2])).
% 0.30/0.37 tff(f47,plain,(
% 0.30/0.37 ( ! [X0 : $int,X1 : collection] : (~in(X0,X1) | count(add(X0,X1)) = count(X1)) )),
% 0.30/0.37 inference(cnf_transformation,[],[f9])).
% 0.30/0.37 tff(f53,plain,(
% 0.30/0.37 ( ! [X0 : collection,X1 : $int] : (~$less(count(add(X1,X0)),$sum(count(X0),1))) )),
% 0.30/0.37 inference(cnf_transformation,[],[f31])).
% 0.30/0.37 tff(f71,plain,(
% 0.30/0.37 ( ! [X0 : collection,X1 : $int] : ($less(count(X0),count(add(X1,X0)))) )),
% 0.30/0.37 inference(resolution,[],[f27,f53])).
% 0.30/0.37 tff(f119,plain,(
% 0.30/0.37 ( ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) = count(add(X0,add(X0,X1)))) )),
% 0.30/0.37 inference(resolution,[],[f47,f33])).
% 0.30/0.37 tff(f583,plain,(
% 0.30/0.37 ( ! [X0 : $int,X1 : collection] : ($less(count(add(X0,X1)),count(add(X0,X1)))) )),
% 0.30/0.37 inference(superposition,[],[f71,f119])).
% 0.30/0.37 tff(f600,plain,(
% 0.30/0.37 $false),
% 0.30/0.37 inference(forward_subsumption_resolution,[],[f583,f23])).
% 0.30/0.37 % SZS output end Proof for theBenchmark
% 0.30/0.37 % (913986)------------------------------
% 0.30/0.37 % (913986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.37 % (913986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.37 % (913986)CaDiCaL version: 2.1.3
% 0.30/0.37 % (913986)Termination reason: Refutation
% 0.30/0.37 % (913986)Time elapsed: 0.026 s
% 0.30/0.37 % (913986)Peak memory usage: 12 MB
% 0.30/0.37 % (913986)Instructions burned: 22 (million)
% 0.30/0.37 % (913980)Success in time 0.064 s
% 0.30/0.37 % Vampire exiting
%------------------------------------------------------------------------------