%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT069_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:48:04 AM UTC 2026
% Result : Theorem 0.08s 0.16s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : DAT069_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 00:07:19 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 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
% 0.08/0.16 % (3918494)Will run a generic schedule for satisfiability detection.
% 0.08/0.16 % (3918500)% WARNING: option uhcvi not known.
% 0.08/0.16 % (3918501)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1447982034:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.16 % (3918502)dis+10_1_sil=32000:sp=arity:random_seed=1690398428:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.16 % (3918499)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2725991387_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.16 % (3918500)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=97442407:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.16 % (3918503)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4196151569:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.16 % (3918504)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2215221609:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.16 % (3918505)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4228895926:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.16 % (3918499)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.16 % (3918499)Terminated due to inappropriate strategy.
% 0.08/0.16 % (3918499)------------------------------
% 0.08/0.16 % (3918499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16 % (3918499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16 % (3918499)CaDiCaL version: 2.1.3
% 0.08/0.16 % (3918499)Termination reason: Inappropriate
% 0.08/0.16 % (3918499)Time elapsed: 0.0000 s
% 0.08/0.16 % (3918499)Peak memory usage: 10 MB
% 0.08/0.16 % (3918499)Instructions burned: 1 (million)
% 0.08/0.16 % (3918499)------------------------------
% 0.08/0.16 % (3918499)------------------------------
% 0.08/0.16 % (3918500) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3918494-3918500"...
% 0.08/0.16 % (3918502) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3918494-3918502"...
% 0.08/0.16 % (3918500)...printing done.
% 0.08/0.16 % (3918503) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3918494-3918503"...
% 0.08/0.16 % (3918500)Refutation found. Thanks to Tanya!
% 0.08/0.16 % SZS status Theorem for theBenchmark
% 0.08/0.16 % SZS output start Proof for theBenchmark
% 0.08/0.16 tff(type_def_5, type, heap: $tType).
% 0.08/0.16 tff(func_def_0, type, empty: heap).
% 0.08/0.16 tff(func_def_1, type, toop: heap > $int).
% 0.08/0.16 tff(func_def_2, type, sel: (heap * $int) > $int).
% 0.08/0.16 tff(func_def_3, type, length: heap > $int).
% 0.08/0.16 tff(func_def_4, type, app: (heap * $int) > heap).
% 0.08/0.16 tff(func_def_5, type, get: heap > heap).
% 0.08/0.16 tff(func_def_10, type, sK0: $int).
% 0.08/0.16 tff(func_def_11, type, sK1: heap).
% 0.08/0.16 tff(func_def_12, type, sK2: $int).
% 0.08/0.16 tff(pred_def_1, type, lsls: (heap * heap) > $o).
% 0.08/0.16 tff(f3,axiom,(
% 0.08/0.16 ! [X0 : $int,X1 : heap,X2 : $int] : (X2 != $sum(1,length(X1)) => sel(app(X1,X0),X2) = sel(X1,X2))),
% 0.08/0.16 file('/export/starexec/sandbox2/benchmark/Axioms/DAT006_0.ax',ax_3)).
% 0.08/0.16 tff(f15,conjecture,(
% 0.08/0.16 ! [X0 : $int,X1 : heap,X2 : $int] : (sel(app(X1,X0),X2) = sel(X1,X2) | $less(length(X1),X2))),
% 0.08/0.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_4)).
% 0.08/0.16 tff(f16,negated_conjecture,(
% 0.08/0.16 ~ ! [X0 : $int,X1 : heap,X2 : $int] : (sel(app(X1,X0),X2) = sel(X1,X2) | $less(length(X1),X2))),
% 0.08/0.16 inference(negated_conjecture,[status(cth)],[f15])).
% 0.08/0.16 tff(f17,definition,(
% 0.08/0.16 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.08/0.16 introduced(theory,[tha_commutativity])).
% 0.08/0.16 tff(f22,definition,(
% 0.08/0.16 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.08/0.16 introduced(theory,[tha_non-reflexivity])).
% 0.08/0.16 tff(f26,definition,(
% 0.08/0.16 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.08/0.16 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.08/0.16 tff(f30,plain,(
% 0.08/0.16 ! [X0 : $int,X1 : heap,X2 : $int] : (sel(app(X1,X0),X2) = sel(X1,X2) | $sum(1,length(X1)) = X2)),
% 0.08/0.16 inference(ennf_transformation,[],[f3])).
% 0.08/0.16 tff(f33,plain,(
% 0.08/0.16 ? [X0 : $int,X1 : heap,X2 : $int] : (sel(app(X1,X0),X2) != sel(X1,X2) & ~$less(length(X1),X2))),
% 0.08/0.16 inference(ennf_transformation,[],[f16])).
% 0.08/0.16 tff(f36,plain,(
% 0.08/0.16 ( ! [X2 : $int,X0 : $int,X1 : heap] : (sel(app(X1,X0),X2) = sel(X1,X2) | $sum(1,length(X1)) = X2) )),
% 0.08/0.16 inference(cnf_transformation,[],[f30])).
% 0.08/0.16 tff(f52,plain,(
% 0.08/0.16 ~$less(length(sK1),sK2)),
% 0.08/0.16 inference(cnf_transformation,[],[f33])).
% 0.08/0.16 tff(f53,plain,(
% 0.08/0.16 sel(app(sK1,sK0),sK2) != sel(sK1,sK2)),
% 0.08/0.16 inference(cnf_transformation,[],[f33])).
% 0.08/0.16 tff(f70,plain,(
% 0.08/0.16 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.08/0.16 inference(resolution,[],[f26,f22])).
% 0.08/0.16 tff(f75,plain,(
% 0.08/0.16 ( ! [X0 : $int] : ($less(X0,$sum(1,X0))) )),
% 0.08/0.16 inference(superposition,[],[f70,f17])).
% 0.08/0.16 tff(f199,plain,(
% 0.08/0.16 sel(sK1,sK2) != sel(sK1,sK2) | sK2 = $sum(1,length(sK1))),
% 0.08/0.16 inference(superposition,[],[f53,f36])).
% 0.08/0.16 tff(f200,plain,(
% 0.08/0.16 sK2 = $sum(1,length(sK1))),
% 0.08/0.16 inference(trivial_inequality_removal,[],[f199])).
% 0.08/0.16 tff(f202,plain,(
% 0.08/0.16 $less(length(sK1),sK2)),
% 0.08/0.16 inference(superposition,[],[f75,f200])).
% 0.08/0.16 tff(f204,plain,(
% 0.08/0.16 $false),
% 0.08/0.16 inference(forward_subsumption_resolution,[],[f202,f52])).
% 0.08/0.16 % SZS output end Proof for theBenchmark
% 0.08/0.16 % (3918500)------------------------------
% 0.08/0.16 % (3918500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16 % (3918500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16 % (3918500)CaDiCaL version: 2.1.3
% 0.08/0.16 % (3918500)Termination reason: Refutation
% 0.08/0.16 % (3918500)Time elapsed: 0.004 s
% 0.08/0.16 % (3918500)Peak memory usage: 12 MB
% 0.08/0.16 % (3918500)Instructions burned: 8 (million)
% 0.08/0.16 % (3918494)Success in time 0.033 s
% 0.08/0.16 % Vampire exiting
%------------------------------------------------------------------------------