%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI591_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:34:56 AM UTC 2026
% Result : Theorem 0.10s 0.25s
% Output : Refutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI591_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n010.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 20:53:18 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 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
% 0.10/0.25 % (2318494)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (2318500)% WARNING: option uhcvi not known.
% 0.10/0.25 % (2318500)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=38645079:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.25 % (2318501)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=648172547:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.25 % (2318502)dis+10_1_sil=32000:sp=arity:random_seed=2366409070:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.25 % (2318503)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1479022599:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.25 % (2318504)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2247688436:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.25 % (2318505)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1233921907:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.25 % (2318499)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2928480421_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.25 % (2318502) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2318494-2318502"...
% 0.10/0.25 % (2318499)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.25 % (2318499)Terminated due to inappropriate strategy.
% 0.10/0.25 % (2318499)------------------------------
% 0.10/0.25 % (2318499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (2318499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (2318499)CaDiCaL version: 2.1.3
% 0.10/0.25 % (2318499)Termination reason: Inappropriate
% 0.10/0.25 % (2318499)Time elapsed: 0.001 s
% 0.10/0.25 % (2318499)Peak memory usage: 10 MB
% 0.10/0.25 % (2318500) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2318494-2318500"...
% 0.10/0.25 % (2318502)...printing done.
% 0.10/0.25 % (2318500)...printing done.
% 0.10/0.25 % (2318499)------------------------------
% 0.10/0.25 % (2318499)------------------------------
% 0.10/0.25 % (2318500)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Theorem for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% 0.10/0.25 tff(func_def_5, type, sK0: $int).
% 0.10/0.25 tff(f1,conjecture,(
% 0.10/0.25 ! [X0 : $int] : ? [X1 : $int] : ($less(0,X1) & $less(X1,3) & X0 != X1)),
% 0.10/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_X_0_3_noteq_Y)).
% 0.10/0.25 tff(f2,negated_conjecture,(
% 0.10/0.25 ~ ! [X0 : $int] : ? [X1 : $int] : ($less(0,X1) & $less(X1,3) & X0 != X1)),
% 0.10/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.25 tff(f3,definition,(
% 0.10/0.25 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.10/0.25 introduced(theory,[tha_commutativity])).
% 0.10/0.25 tff(f4,definition,(
% 0.10/0.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.10/0.25 introduced(theory,[tha_associativity])).
% 0.10/0.25 tff(f7,definition,(
% 0.10/0.25 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.10/0.25 introduced(theory,[tha_inverse_op_unit])).
% 0.10/0.25 tff(f8,definition,(
% 0.10/0.25 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.10/0.25 introduced(theory,[tha_non-reflexivity])).
% 0.10/0.25 tff(f11,definition,(
% 0.10/0.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
% 0.10/0.25 introduced(theory,[tha_order_monotonicity])).
% 0.10/0.25 tff(f12,definition,(
% 0.10/0.25 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.10/0.25 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.10/0.25 tff(f15,plain,(
% 0.10/0.25 ? [X0 : $int] : ! [X1 : $int] : (~$less(0,X1) | ~$less(X1,3) | X0 = X1)),
% 0.10/0.25 inference(ennf_transformation,[],[f2])).
% 0.10/0.25 tff(f16,plain,(
% 0.10/0.25 ( ! [X1 : $int] : (~$less(0,X1) | ~$less(X1,3) | sK0 = X1) )),
% 0.10/0.25 inference(cnf_transformation,[],[f15])).
% 0.10/0.25 tff(f22,plain,(
% 0.10/0.25 ( ! [X0 : $int] : (~$less($sum(X0,1),3) | $less(X0,0) | $sum(X0,1) = sK0) )),
% 0.10/0.25 inference(resolution,[],[f12,f16])).
% 0.10/0.25 tff(f23,plain,(
% 0.10/0.25 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.10/0.25 inference(resolution,[],[f12,f8])).
% 0.10/0.25 tff(f61,plain,(
% 0.10/0.25 ( ! [X0 : $int,X1 : $int] : (0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1))))) )),
% 0.10/0.25 inference(superposition,[],[f4,f7])).
% 0.10/0.25 tff(f75,plain,(
% 0.10/0.25 ( ! [X0 : $int] : (~$less($sum(1,X0),3) | $less(X0,0) | sK0 = $sum(1,X0)) )),
% 0.10/0.25 inference(superposition,[],[f22,f3])).
% 0.10/0.25 tff(f79,plain,(
% 0.10/0.25 ~$less($sum(0,1),3) | sK0 = $sum(0,1)),
% 0.10/0.25 inference(resolution,[],[f23,f16])).
% 0.10/0.25 tff(f85,plain,(
% 0.10/0.25 1 = sK0),
% 0.10/0.25 inference(evaluation,[],[f79])).
% 0.10/0.25 tff(f117,plain,(
% 0.10/0.25 ( ! [X0 : $int] : (~$less($sum(1,X0),3) | 1 = $sum(1,X0) | $less(X0,0)) )),
% 0.10/0.25 inference(forward_demodulation,[],[f75,f85])).
% 0.10/0.25 tff(f257,plain,(
% 0.10/0.25 ( ! [X0 : $int] : (~$less(0,3) | 0 = 1 | $less($sum(X0,$uminus($sum(1,X0))),0)) )),
% 0.10/0.25 inference(superposition,[],[f117,f61])).
% 0.10/0.25 tff(f264,plain,(
% 0.10/0.25 ( ! [X0 : $int] : ($less($sum(X0,$uminus($sum(1,X0))),0)) )),
% 0.10/0.25 inference(evaluation,[],[f257])).
% 0.10/0.25 tff(f284,plain,(
% 0.10/0.25 ( ! [X0 : $int,X1 : $int] : ($less($sum($sum(X0,$uminus($sum(1,X0))),X1),$sum(0,X1))) )),
% 0.10/0.25 inference(resolution,[],[f264,f11])).
% 0.10/0.25 tff(f299,plain,(
% 0.10/0.25 ( ! [X0 : $int,X1 : $int] : ($less($sum($sum(X0,$uminus($sum(1,X0))),X1),X1)) )),
% 0.10/0.25 inference(evaluation,[],[f284])).
% 0.10/0.25 tff(f302,plain,(
% 0.10/0.25 ( ! [X0 : $int,X1 : $int] : ($less($sum(X0,$sum($uminus($sum(1,X0)),X1)),X1)) )),
% 0.10/0.25 inference(forward_demodulation,[],[f299,f4])).
% 0.10/0.25 tff(f919,plain,(
% 0.10/0.25 1 = $sum(1,$sum($uminus($sum(1,1)),3)) | $less($sum($uminus($sum(1,1)),3),0)),
% 0.10/0.25 inference(resolution,[],[f302,f117])).
% 0.10/0.25 tff(f959,plain,(
% 0.10/0.25 $false),
% 0.10/0.25 inference(evaluation,[],[f919])).
% 0.10/0.25 % SZS output end Proof for theBenchmark
% 0.10/0.25 % (2318500)------------------------------
% 0.10/0.25 % (2318500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (2318500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (2318500)CaDiCaL version: 2.1.3
% 0.10/0.25 % (2318500)Termination reason: Refutation
% 0.10/0.25 % (2318500)Time elapsed: 0.014 s
% 0.10/0.25 % (2318500)Peak memory usage: 12 MB
% 0.10/0.25 % (2318500)Instructions burned: 39 (million)
% 0.10/0.25 % (2318494)Success in time 0.043 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------