%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT009_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:47:57 AM UTC 2026
% Result : Theorem 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT009_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.19 % Computer : n009.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Tue Sep 29 00:05:16 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.22 Running first-order model finding
% 0.06/0.22 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
% 0.20/0.32 % (3617388)Will run a generic schedule for satisfiability detection.
% 0.20/0.32 % (3617393)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1674218477_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.32 % (3617393)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.32 % (3617393)Terminated due to inappropriate strategy.
% 0.20/0.32 % (3617393)------------------------------
% 0.20/0.32 % (3617393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3617393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3617393)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3617393)Termination reason: Inappropriate
% 0.20/0.32 % (3617393)Time elapsed: 0.0000 s
% 0.20/0.32 % (3617393)Peak memory usage: 10 MB
% 0.20/0.32 % (3617393)------------------------------
% 0.20/0.32 % (3617393)------------------------------
% 0.20/0.32 % (3617394)% WARNING: option uhcvi not known.
% 0.20/0.32 % (3617394)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2072623848:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.32 % (3617395)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=322103224:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.32 % (3617396)dis+10_1_sil=32000:sp=arity:random_seed=2343282149:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.32 % (3617397)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3226050949:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.32 % (3617398)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2434297278:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % (3617399)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1027703233:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.32 % (3617401)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1635564102:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.32 % (3617401)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.32 % (3617401)Terminated due to inappropriate strategy.
% 0.20/0.32 % (3617401)------------------------------
% 0.20/0.32 % (3617401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3617401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3617401)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3617401)Termination reason: Inappropriate
% 0.20/0.32 % (3617401)Time elapsed: 0.0000 s
% 0.20/0.32 % (3617401)Peak memory usage: 10 MB
% 0.20/0.32 % (3617401)------------------------------
% 0.20/0.32 % (3617401)------------------------------
% 0.20/0.32 % (3617409)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2387728386:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % (3617396) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3617388-3617396"...
% 0.20/0.32 % (3617396)...printing done.
% 0.20/0.32 % (3617396)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Theorem for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% 0.20/0.32 tff(type_def_5, type, array: $tType).
% 0.20/0.32 tff(func_def_0, type, read: (array * $int) > $int).
% 0.20/0.32 tff(func_def_1, type, write: (array * $int * $int) > array).
% 0.20/0.32 tff(func_def_7, type, sK0: array).
% 0.20/0.32 tff(func_def_8, type, sK1: array).
% 0.20/0.32 tff(func_def_9, type, sK2: $int).
% 0.20/0.32 tff(func_def_10, type, sK3: $int).
% 0.20/0.32 tff(f1,axiom,(
% 0.20/0.32 ! [X0 : array,X1 : $int,X2 : $int] : read(write(X0,X1,X2),X1) = X2),
% 0.20/0.32 file('/export/starexec/sandbox2/benchmark/Axioms/DAT001_0.ax',ax1)).
% 0.20/0.32 tff(f2,axiom,(
% 0.20/0.32 ! [X0 : array,X1 : $int,X2 : $int,X3 : $int] : (X1 = X2 | read(write(X0,X1,X3),X2) = read(X0,X2))),
% 0.20/0.32 file('/export/starexec/sandbox2/benchmark/Axioms/DAT001_0.ax',ax2)).
% 0.20/0.32 tff(f3,conjecture,(
% 0.20/0.32 ! [X0 : array,X1 : array,X2 : $int] : ((! [X3 : $int] : $greater(read(X1,X3),X3) & X0 = write(X1,X2,$sum(X2,3))) => ! [X4 : $int] : $greater(read(X0,X4),X4))),
% 0.20/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 0.20/0.32 tff(f4,negated_conjecture,(
% 0.20/0.32 ~ ! [X0 : array,X1 : array,X2 : $int] : ((! [X3 : $int] : $greater(read(X1,X3),X3) & X0 = write(X1,X2,$sum(X2,3))) => ! [X4 : $int] : $greater(read(X0,X4),X4))),
% 0.20/0.32 inference(negated_conjecture,[status(cth)],[f3])).
% 0.20/0.32 tff(f5,plain,(
% 0.20/0.32 ~ ! [X0 : array,X1 : array,X2 : $int] : ((! [X3 : $int] : $less(X3,read(X1,X3)) & X0 = write(X1,X2,$sum(X2,3))) => ! [X4 : $int] : $less(X4,read(X0,X4)))),
% 0.20/0.32 inference(theory_normalization,[],[f4])).
% 0.20/0.32 tff(f6,definition,(
% 0.20/0.32 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.20/0.32 introduced(theory,[tha_commutativity])).
% 0.20/0.32 tff(f8,definition,(
% 0.20/0.32 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.20/0.32 introduced(theory,[tha_right_identity])).
% 0.20/0.32 tff(f14,definition,(
% 0.20/0.32 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.20/0.32 introduced(theory,[tha_order_monotonicity])).
% 0.20/0.32 tff(f18,plain,(
% 0.20/0.32 ? [X0 : array,X1 : array,X2 : $int] : (? [X4 : $int] : ~$less(X4,read(X0,X4)) & (! [X3 : $int] : $less(X3,read(X1,X3)) & X0 = write(X1,X2,$sum(X2,3))))),
% 0.20/0.32 inference(ennf_transformation,[],[f5])).
% 0.20/0.32 tff(f19,plain,(
% 0.20/0.32 ? [X0 : array,X1 : array,X2 : $int] : (? [X4 : $int] : ~$less(X4,read(X0,X4)) & ! [X3 : $int] : $less(X3,read(X1,X3)) & X0 = write(X1,X2,$sum(X2,3)))),
% 0.20/0.32 inference(flattening,[],[f18])).
% 0.20/0.32 tff(f20,plain,(
% 0.20/0.32 ? [X0 : array,X1 : array,X2 : $int] : (? [X3 : $int] : ~$less(X3,read(X0,X3)) & ! [X4 : $int] : $less(X4,read(X1,X4)) & X0 = write(X1,X2,$sum(X2,3)))),
% 0.20/0.32 inference(rectify,[],[f19])).
% 0.20/0.32 tff(f21,plain,(
% 0.20/0.32 ~$less(sK3,read(sK0,sK3)) & ! [X4 : $int] : $less(X4,read(sK1,X4)) & sK0 = write(sK1,sK2,$sum(sK2,3))),
% 0.20/0.32 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f20])).
% 0.20/0.32 tff(f22,plain,(
% 0.20/0.32 ( ! [X2 : $int,X0 : array,X1 : $int] : (read(write(X0,X1,X2),X1) = X2) )),
% 0.20/0.32 inference(cnf_transformation,[],[f1])).
% 0.20/0.32 tff(f23,plain,(
% 0.20/0.32 ( ! [X2 : $int,X3 : $int,X0 : array,X1 : $int] : (read(write(X0,X1,X3),X2) = read(X0,X2) | X1 = X2) )),
% 0.20/0.32 inference(cnf_transformation,[],[f2])).
% 0.20/0.32 tff(f24,plain,(
% 0.20/0.32 sK0 = write(sK1,sK2,$sum(sK2,3))),
% 0.20/0.32 inference(cnf_transformation,[],[f21])).
% 0.20/0.32 tff(f25,plain,(
% 0.20/0.32 ( ! [X4 : $int] : ($less(X4,read(sK1,X4))) )),
% 0.20/0.32 inference(cnf_transformation,[],[f21])).
% 0.20/0.32 tff(f26,plain,(
% 0.20/0.32 ~$less(sK3,read(sK0,sK3))),
% 0.20/0.32 inference(cnf_transformation,[],[f21])).
% 0.20/0.32 tff(f43,plain,(
% 0.20/0.32 $sum(sK2,3) = read(sK0,sK2)),
% 0.20/0.32 inference(superposition,[],[f22,f24])).
% 0.20/0.32 tff(f45,plain,(
% 0.20/0.32 $sum(3,sK2) = read(sK0,sK2)),
% 0.20/0.32 inference(forward_demodulation,[],[f43,f6])).
% 0.20/0.32 tff(f77,plain,(
% 0.20/0.32 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(X2,X0)) | ~$less(X1,X2)) )),
% 0.20/0.32 inference(superposition,[],[f14,f6])).
% 0.20/0.32 tff(f117,plain,(
% 0.20/0.32 ( ! [X0 : $int] : (read(sK1,X0) = read(sK0,X0) | sK2 = X0) )),
% 0.20/0.32 inference(superposition,[],[f23,f24])).
% 0.20/0.32 tff(f128,plain,(
% 0.20/0.32 ( ! [X0 : $int] : ($less(X0,read(sK0,X0)) | sK2 = X0) )),
% 0.20/0.32 inference(superposition,[],[f25,f117])).
% 0.20/0.32 tff(f310,plain,(
% 0.20/0.32 ( ! [X0 : $int,X1 : $int] : ($less(X0,$sum(X1,X0)) | ~$less(0,X1)) )),
% 0.20/0.32 inference(superposition,[],[f77,f8])).
% 0.20/0.32 tff(f324,plain,(
% 0.20/0.32 sK2 = sK3),
% 0.20/0.32 inference(resolution,[],[f128,f26])).
% 0.20/0.32 tff(f346,plain,(
% 0.20/0.32 ~$less(sK2,read(sK0,sK2))),
% 0.20/0.32 inference(superposition,[],[f26,f324])).
% 0.20/0.32 tff(f347,plain,(
% 0.20/0.32 ~$less(sK2,$sum(3,sK2))),
% 0.20/0.32 inference(forward_demodulation,[],[f346,f45])).
% 0.20/0.32 tff(f1884,plain,(
% 0.20/0.32 ~$less(0,3)),
% 0.20/0.32 inference(resolution,[],[f310,f347])).
% 0.20/0.32 tff(f1899,plain,(
% 0.20/0.32 $false),
% 0.20/0.32 inference(evaluation,[],[f1884])).
% 0.20/0.32 % SZS output end Proof for theBenchmark
% 0.20/0.32 % (3617396)------------------------------
% 0.20/0.32 % (3617396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3617396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3617396)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3617396)Termination reason: Refutation
% 0.20/0.32 % (3617396)Time elapsed: 0.049 s
% 0.20/0.32 % (3617396)Peak memory usage: 12 MB
% 0.20/0.32 % (3617396)Instructions burned: 75 (million)
% 0.20/0.32 % (3617388)Success in time 0.086 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------