%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM877_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 : n001.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 12:25:59 PM UTC 2026
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM877_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n001.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 21:43:01 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.18/0.49 % (3978862)Will run a generic schedule for satisfiability detection.
% 0.18/0.49 % (3978874)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2422483929_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.49 % (3978874)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.49 % (3978874)Terminated due to inappropriate strategy.
% 0.18/0.49 % (3978874)------------------------------
% 0.18/0.49 % (3978874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (3978874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (3978874)CaDiCaL version: 2.1.3
% 0.18/0.49 % (3978874)Termination reason: Inappropriate
% 0.18/0.49 % (3978874)Time elapsed: 0.0000 s
% 0.18/0.49 % (3978874)Peak memory usage: 10 MB
% 0.18/0.49 % (3978874)------------------------------
% 0.18/0.49 % (3978874)------------------------------
% 0.18/0.49 % (3978875)% WARNING: option uhcvi not known.
% 0.18/0.49 % (3978876)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2927866129:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.49 % (3978877)dis+10_1_sil=32000:sp=arity:random_seed=3047439960:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49 % (3978878)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1618176195:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.49 % (3978875)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1441154523:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.49 % (3978880)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1430263133:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49 % (3978882)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3976764651:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.49 % (3978882)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.49 % (3978882)Terminated due to inappropriate strategy.
% 0.18/0.49 % (3978882)------------------------------
% 0.18/0.49 % (3978882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (3978882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (3978882)CaDiCaL version: 2.1.3
% 0.18/0.49 % (3978882)Termination reason: Inappropriate
% 0.18/0.49 % (3978882)Time elapsed: 0.0000 s
% 0.18/0.49 % (3978882)Peak memory usage: 10 MB
% 0.18/0.49 % (3978882)------------------------------
% 0.18/0.49 % (3978882)------------------------------
% 0.18/0.49 % (3978877) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3978862-3978877"...
% 0.18/0.49 % (3978875) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3978862-3978875"...
% 0.18/0.49 % (3978878) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3978862-3978878"...
% 0.18/0.49 % (3978879)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3421211947:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.49 % (3978875)...printing done.
% 0.18/0.49 % (3978877)...printing done.
% 0.18/0.49 % (3978878)...printing done.
% 0.18/0.49 % (3978875)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% 0.18/0.49 tff(func_def_5, type, sK0: $int).
% 0.18/0.49 tff(func_def_6, type, sK1: $int).
% 0.18/0.49 tff(f1,conjecture,(
% 0.18/0.49 ! [X0 : $int,X1 : $int] : ($difference(X0,X1) = 0 => X0 = X1)),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_identity)).
% 0.18/0.49 tff(f2,negated_conjecture,(
% 0.18/0.49 ~ ! [X0 : $int,X1 : $int] : ($difference(X0,X1) = 0 => X0 = X1)),
% 0.18/0.49 inference(negated_conjecture,[status(cth)],[f1])).
% 0.18/0.49 tff(f3,plain,(
% 0.18/0.49 ~ ! [X0 : $int,X1 : $int] : (0 = $sum(X0,$uminus(X1)) => X0 = X1)),
% 0.18/0.49 inference(theory_normalization,[],[f2])).
% 0.18/0.49 tff(f5,definition,(
% 0.18/0.49 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.18/0.49 introduced(theory,[tha_associativity])).
% 0.18/0.49 tff(f8,definition,(
% 0.18/0.49 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.18/0.49 introduced(theory,[tha_inverse_op_unit])).
% 0.18/0.49 tff(f16,plain,(
% 0.18/0.49 ? [X0 : $int,X1 : $int] : (X0 != X1 & 0 = $sum(X0,$uminus(X1)))),
% 0.18/0.49 inference(ennf_transformation,[],[f3])).
% 0.18/0.49 tff(f17,plain,(
% 0.18/0.49 0 = $sum(sK0,$uminus(sK1))),
% 0.18/0.49 inference(cnf_transformation,[],[f16])).
% 0.18/0.49 tff(f18,plain,(
% 0.18/0.49 sK0 != sK1),
% 0.18/0.49 inference(cnf_transformation,[],[f16])).
% 0.18/0.49 tff(f89,plain,(
% 0.18/0.49 ( ! [X0 : $int] : ($sum(0,X0) = $sum(sK0,$sum($uminus(sK1),X0))) )),
% 0.18/0.49 inference(superposition,[],[f5,f17])).
% 0.18/0.49 tff(f102,plain,(
% 0.18/0.49 ( ! [X0 : $int] : ($sum(sK0,$sum($uminus(sK1),X0)) = X0) )),
% 0.18/0.49 inference(evaluation,[],[f89])).
% 0.18/0.49 tff(f110,plain,(
% 0.18/0.49 $sum(sK0,0) = $uminus($uminus(sK1))),
% 0.18/0.49 inference(superposition,[],[f102,f8])).
% 0.18/0.49 tff(f116,plain,(
% 0.18/0.49 sK0 = sK1),
% 0.18/0.49 inference(evaluation,[],[f110])).
% 0.18/0.49 tff(f119,plain,(
% 0.18/0.49 $false),
% 0.18/0.49 inference(forward_subsumption_resolution,[],[f116,f18])).
% 0.18/0.49 % SZS output end Proof for theBenchmark
% 0.18/0.49 % (3978875)------------------------------
% 0.18/0.49 % (3978875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (3978875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (3978875)CaDiCaL version: 2.1.3
% 0.18/0.49 % (3978875)Termination reason: Refutation
% 0.18/0.49 % (3978875)Time elapsed: 0.005 s
% 0.18/0.49 % (3978875)Peak memory usage: 12 MB
% 0.18/0.49 % (3978875)Instructions burned: 5 (million)
% 0.18/0.49 % (3978862)Success in time 0.05 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------