%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM907_1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:26:02 PM UTC 2026
% Result : Theorem 0.08s 0.45s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM907_1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 21:41:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.39 Running first-order model finding
% 0.08/0.39 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
% 0.08/0.45 % (2750037)Will run a generic schedule for satisfiability detection.
% 0.08/0.45 % (2750046)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=857400071:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.45 % (2750043)% WARNING: option uhcvi not known.
% 0.08/0.45 % (2750042)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2891078130_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.45 % (2750044)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2510640661:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.45 % (2750047)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1420756219:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.45 % (2750045)dis+10_1_sil=32000:sp=arity:random_seed=2803560214:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.45 % (2750042)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.45 % (2750042)Terminated due to inappropriate strategy.
% 0.08/0.45 % (2750042)------------------------------
% 0.08/0.45 % (2750042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.45 % (2750048)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4051339712:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.45 % (2750042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.45 % (2750042)CaDiCaL version: 2.1.3
% 0.08/0.45 % (2750042)Termination reason: Inappropriate
% 0.08/0.45 % (2750042)Time elapsed: 0.0000 s
% 0.08/0.45 % (2750042)Peak memory usage: 10 MB
% 0.08/0.45 % (2750043)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2283884217:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.45 % (2750042)------------------------------
% 0.08/0.45 % (2750042)------------------------------
% 0.08/0.45 % (2750043) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2750037-2750043"...
% 0.08/0.45 % (2750043)...printing done.
% 0.08/0.45 % (2750043)Refutation found. Thanks to Tanya!
% 0.08/0.45 % SZS status Theorem for theBenchmark
% 0.08/0.45 % SZS output start Proof for theBenchmark
% 0.08/0.45 tff(func_def_5, type, sK0: $rat).
% 0.08/0.45 tff(func_def_6, type, sK1: $rat).
% 0.08/0.45 tff(func_def_7, type, sK2: $rat).
% 0.08/0.45 tff(f1,conjecture,(
% 0.08/0.45 ! [X0 : $rat,X1 : $rat,X2 : $rat] : ($sum(X0,X1) = X2 <=> ($difference(X2,X1) = X0 & $difference(X2,X0) = X1))),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_2)).
% 0.08/0.45 tff(f2,negated_conjecture,(
% 0.08/0.45 ~ ! [X0 : $rat,X1 : $rat,X2 : $rat] : ($sum(X0,X1) = X2 <=> ($difference(X2,X1) = X0 & $difference(X2,X0) = X1))),
% 0.08/0.45 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.45 tff(f3,plain,(
% 0.08/0.45 ~ ! [X0 : $rat,X1 : $rat,X2 : $rat] : ($sum(X0,X1) = X2 <=> ($sum(X2,$uminus(X1)) = X0 & $sum(X2,$uminus(X0)) = X1))),
% 0.08/0.45 inference(theory_normalization,[],[f2])).
% 0.08/0.45 tff(f4,definition,(
% 0.08/0.45 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.08/0.45 introduced(theory,[tha_commutativity])).
% 0.08/0.45 tff(f5,definition,(
% 0.08/0.45 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.08/0.45 introduced(theory,[tha_associativity])).
% 0.08/0.45 tff(f8,definition,(
% 0.08/0.45 ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.08/0.45 introduced(theory,[tha_inverse_op_unit])).
% 0.08/0.45 tff(f14,definition,(
% 0.08/0.45 ( ! [X0 : $rat] : ($uminus($uminus(X0)) = X0) )),
% 0.08/0.45 introduced(theory,[tha_minus_minus_x])).
% 0.08/0.45 tff(f15,plain,(
% 0.08/0.45 ? [X0 : $rat,X1 : $rat,X2 : $rat] : ($sum(X0,X1) = X2 <~> ($sum(X2,$uminus(X1)) = X0 & $sum(X2,$uminus(X0)) = X1))),
% 0.08/0.45 inference(ennf_transformation,[],[f3])).
% 0.08/0.45 tff(f16,plain,(
% 0.08/0.45 sK1 != $sum(sK2,$uminus(sK0)) | sK0 != $sum(sK2,$uminus(sK1)) | sK2 != $sum(sK0,sK1)),
% 0.08/0.45 inference(cnf_transformation,[],[f15])).
% 0.08/0.45 tff(f18,plain,(
% 0.08/0.45 sK0 = $sum(sK2,$uminus(sK1)) | sK2 = $sum(sK0,sK1)),
% 0.08/0.45 inference(cnf_transformation,[],[f15])).
% 0.08/0.45 tff(f20,definition,(
% 0.08/0.45 spl3_1 <=> sK2 = $sum(sK0,sK1)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition])).
% 0.08/0.45 tff(f21,plain,(
% 0.08/0.45 sK2 = $sum(sK0,sK1) | ~spl3_1),
% 0.08/0.45 inference(avatar_component_clause,[],[f20])).
% 0.08/0.45 tff(f22,plain,(
% 0.08/0.45 sK2 != $sum(sK0,sK1) | spl3_1),
% 0.08/0.45 inference(avatar_component_clause,[],[f20])).
% 0.08/0.45 tff(f24,definition,(
% 0.08/0.45 spl3_2 <=> sK0 = $sum(sK2,$uminus(sK1))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition])).
% 0.08/0.45 tff(f25,plain,(
% 0.08/0.45 sK0 = $sum(sK2,$uminus(sK1)) | ~spl3_2),
% 0.08/0.45 inference(avatar_component_clause,[],[f24])).
% 0.08/0.45 tff(f28,definition,(
% 0.08/0.45 spl3_3 <=> sK1 = $sum(sK2,$uminus(sK0))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition])).
% 0.08/0.45 tff(f30,plain,(
% 0.08/0.45 sK1 != $sum(sK2,$uminus(sK0)) | spl3_3),
% 0.08/0.45 inference(avatar_component_clause,[],[f28])).
% 0.08/0.45 tff(f31,plain,(
% 0.08/0.45 ~spl3_1 | ~spl3_2 | ~spl3_3),
% 0.08/0.45 inference(avatar_split_clause,[],[f16,f28,f24,f20])).
% 0.08/0.45 tff(f33,plain,(
% 0.08/0.45 spl3_1 | spl3_2),
% 0.08/0.45 inference(avatar_split_clause,[],[f18,f24,f20])).
% 0.08/0.45 tff(f34,plain,(
% 0.08/0.45 ( ! [X0 : $rat] : (0/1 = $sum($uminus(X0),X0)) )),
% 0.08/0.45 inference(superposition,[],[f8,f14])).
% 0.08/0.45 tff(f99,plain,(
% 0.08/0.45 ( ! [X0 : $rat] : ($sum(sK2,$sum($uminus(sK1),X0)) = $sum(sK0,X0)) ) | ~spl3_2),
% 0.08/0.45 inference(superposition,[],[f5,f25])).
% 0.08/0.45 tff(f101,plain,(
% 0.08/0.45 ( ! [X0 : $rat,X1 : $rat] : ($sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.08/0.45 inference(superposition,[],[f5,f8])).
% 0.08/0.45 tff(f116,plain,(
% 0.08/0.45 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.08/0.45 inference(evaluation,[],[f101])).
% 0.08/0.45 tff(f164,plain,(
% 0.08/0.45 $sum(sK0,sK1) = $sum(sK2,0/1) | ~spl3_2),
% 0.08/0.45 inference(superposition,[],[f99,f34])).
% 0.08/0.45 tff(f175,plain,(
% 0.08/0.45 sK2 = $sum(sK0,sK1) | ~spl3_2),
% 0.08/0.45 inference(evaluation,[],[f164])).
% 0.08/0.45 tff(f179,plain,(
% 0.08/0.45 $false | (spl3_1 | ~spl3_2)),
% 0.08/0.45 inference(forward_subsumption_resolution,[],[f175,f22])).
% 0.08/0.45 tff(f180,plain,(
% 0.08/0.45 spl3_1 | ~spl3_2),
% 0.08/0.45 inference(avatar_contradiction_clause,[],[f179])).
% 0.08/0.45 tff(f183,plain,(
% 0.08/0.45 ( ! [X0 : $rat] : ($sum(sK0,$sum(sK1,X0)) = $sum(sK2,X0)) ) | ~spl3_1),
% 0.08/0.45 inference(superposition,[],[f5,f21])).
% 0.08/0.45 tff(f200,plain,(
% 0.08/0.45 ( ! [X0 : $rat] : ($sum(sK2,X0) = $sum(sK0,$sum(X0,sK1))) ) | ~spl3_1),
% 0.08/0.45 inference(superposition,[],[f183,f4])).
% 0.08/0.45 tff(f202,plain,(
% 0.08/0.45 $sum(sK2,$uminus(sK1)) = $sum(sK0,0/1) | ~spl3_1),
% 0.08/0.45 inference(superposition,[],[f183,f8])).
% 0.08/0.45 tff(f208,plain,(
% 0.08/0.45 sK0 = $sum(sK2,$uminus(sK1)) | ~spl3_1),
% 0.08/0.45 inference(evaluation,[],[f202])).
% 0.08/0.45 tff(f217,plain,(
% 0.08/0.45 spl3_2 | ~spl3_1),
% 0.08/0.45 inference(avatar_split_clause,[],[f208,f20,f24])).
% 0.08/0.45 tff(f292,plain,(
% 0.08/0.45 sK1 = $sum(sK2,$uminus(sK0)) | ~spl3_1),
% 0.08/0.45 inference(superposition,[],[f116,f200])).
% 0.08/0.45 tff(f307,plain,(
% 0.08/0.45 $false | (~spl3_1 | spl3_3)),
% 0.08/0.45 inference(forward_subsumption_resolution,[],[f292,f30])).
% 0.08/0.45 tff(f308,plain,(
% 0.08/0.45 ~spl3_1 | spl3_3),
% 0.08/0.45 inference(avatar_contradiction_clause,[],[f307])).
% 0.08/0.45 cnf(s1, plain, ~spl3_1 | ~spl3_2 | ~spl3_3, inference(sat_conversion,[],[f31])).
% 0.08/0.45 cnf(s3, plain, spl3_1 | spl3_2, inference(sat_conversion,[],[f33])).
% 0.08/0.45 cnf(s9, plain, spl3_1 | ~spl3_2, inference(sat_conversion,[],[f180])).
% 0.08/0.45 cnf(s11, plain, ~spl3_1 | spl3_2, inference(sat_conversion,[],[f217])).
% 0.08/0.45 cnf(s13, plain, ~spl3_1 | spl3_3, inference(sat_conversion,[],[f308])).
% 0.08/0.45 cnf(s14, plain, spl3_1, inference(rat,[],[s3,s9])).
% 0.08/0.45 cnf(s15, plain, spl3_3, inference(rat,[],[s13,s14])).
% 0.08/0.45 cnf(s16, plain, spl3_2, inference(rat,[],[s11,s14])).
% 0.08/0.45 cnf(s17, plain, $false, inference(rat,[],[s1,s15,s16,s14])).
% 0.08/0.45 tff(f309,plain,(
% 0.08/0.45 $false),
% 0.08/0.45 inference(avatar_sat_refutation,[],[s17])).
% 0.08/0.45 % SZS output end Proof for theBenchmark
% 0.08/0.45 % (2750043)------------------------------
% 0.08/0.45 % (2750043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.45 % (2750043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.45 % (2750043)CaDiCaL version: 2.1.3
% 0.08/0.45 % (2750043)Termination reason: Refutation
% 0.08/0.45 % (2750043)Time elapsed: 0.012 s
% 0.08/0.45 % (2750043)Peak memory usage: 13 MB
% 0.08/0.45 % (2750043)Instructions burned: 14 (million)
% 0.08/0.45 % (2750037)Success in time 0.053 s
% 0.08/0.45 % Vampire exiting
%------------------------------------------------------------------------------