%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM891_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 : n014.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 12:26:00 PM UTC 2026
% Result : Theorem 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM891_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.44 % Computer : n014.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 21:38:31 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.50 Running first-order model finding
% 0.22/0.50 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
% 0.22/0.57 % (1191679)Will run a generic schedule for satisfiability detection.
% 0.22/0.57 % (1191685)% WARNING: option uhcvi not known.
% 0.22/0.57 % (1191685)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1835764852:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.57 % (1191687)dis+10_1_sil=32000:sp=arity:random_seed=237259109:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.57 % (1191689)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=681897249:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.57 % (1191688)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3138424003:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.57 % (1191684)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3638182392_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.57 % (1191686)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1814858506:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.57 % (1191684)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.57 % (1191684)Terminated due to inappropriate strategy.
% 0.22/0.57 % (1191684)------------------------------
% 0.22/0.57 % (1191684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.57 % (1191690)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2137997699:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.57 % (1191684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.57 % (1191684)CaDiCaL version: 2.1.3
% 0.22/0.57 % (1191684)Termination reason: Inappropriate
% 0.22/0.57 % (1191684)Time elapsed: 0.0000 s
% 0.22/0.57 % (1191684)Peak memory usage: 10 MB
% 0.22/0.57 % (1191684)------------------------------
% 0.22/0.57 % (1191684)------------------------------
% 0.22/0.57 % (1191687) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1191679-1191687"...
% 0.22/0.57 % (1191687)...printing done.
% 0.22/0.57 % (1191687)Refutation found. Thanks to Tanya!
% 0.22/0.57 % SZS status Theorem for theBenchmark
% 0.22/0.57 % SZS output start Proof for theBenchmark
% 0.22/0.57 tff(func_def_4, type, sK0: $int).
% 0.22/0.57 tff(f1,conjecture,(
% 0.22/0.57 ! [X0 : $int] : (X0 = $uminus(X0) <=> X0 = 0)),
% 0.22/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uminus_equal)).
% 0.22/0.57 tff(f2,negated_conjecture,(
% 0.22/0.57 ~ ! [X0 : $int] : (X0 = $uminus(X0) <=> X0 = 0)),
% 0.22/0.57 inference(negated_conjecture,[status(cth)],[f1])).
% 0.22/0.57 tff(f3,definition,(
% 0.22/0.57 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.22/0.57 introduced(theory,[tha_commutativity])).
% 0.22/0.57 tff(f5,definition,(
% 0.22/0.57 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.22/0.57 introduced(theory,[tha_right_identity])).
% 0.22/0.57 tff(f7,definition,(
% 0.22/0.57 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.22/0.57 introduced(theory,[tha_inverse_op_unit])).
% 0.22/0.57 tff(f9,definition,(
% 0.22/0.57 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 0.22/0.57 introduced(theory,[tha_transitivity])).
% 0.22/0.57 tff(f10,definition,(
% 0.22/0.57 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 0.22/0.57 introduced(theory,[tha_order_totality])).
% 0.22/0.57 tff(f11,definition,(
% 0.22/0.57 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.22/0.57 introduced(theory,[tha_order_monotonicity])).
% 0.22/0.57 tff(f15,plain,(
% 0.22/0.57 ? [X0 : $int] : (X0 = $uminus(X0) <~> X0 = 0)),
% 0.22/0.57 inference(ennf_transformation,[],[f2])).
% 0.22/0.57 tff(f16,plain,(
% 0.22/0.57 ? [X0 : $int] : ((0 != X0 | $uminus(X0) != X0) & (X0 = 0 | X0 = $uminus(X0)))),
% 0.22/0.57 inference(nnf_transformation,[],[f15])).
% 0.22/0.57 tff(f17,plain,(
% 0.22/0.57 (0 != sK0 | sK0 != $uminus(sK0)) & (0 = sK0 | sK0 = $uminus(sK0))),
% 0.22/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16])).
% 0.22/0.57 tff(f18,plain,(
% 0.22/0.57 0 = sK0 | sK0 = $uminus(sK0)),
% 0.22/0.57 inference(cnf_transformation,[],[f17])).
% 0.22/0.57 tff(f19,plain,(
% 0.22/0.57 0 != sK0 | sK0 != $uminus(sK0)),
% 0.22/0.57 inference(cnf_transformation,[],[f17])).
% 0.22/0.57 tff(f21,definition,(
% 0.22/0.57 spl1_1 <=> sK0 = $uminus(sK0)),
% 0.22/0.57 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 0.22/0.57 tff(f22,plain,(
% 0.22/0.57 sK0 != $uminus(sK0) | spl1_1),
% 0.22/0.57 inference(avatar_component_clause,[],[f21])).
% 0.22/0.57 tff(f23,plain,(
% 0.22/0.57 sK0 = $uminus(sK0) | ~spl1_1),
% 0.22/0.57 inference(avatar_component_clause,[],[f21])).
% 0.22/0.57 tff(f25,definition,(
% 0.22/0.57 spl1_2 <=> 0 = sK0),
% 0.22/0.57 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 0.22/0.57 tff(f26,plain,(
% 0.22/0.57 0 != sK0 | spl1_2),
% 0.22/0.57 inference(avatar_component_clause,[],[f25])).
% 0.22/0.57 tff(f27,plain,(
% 0.22/0.57 0 = sK0 | ~spl1_2),
% 0.22/0.57 inference(avatar_component_clause,[],[f25])).
% 0.22/0.57 tff(f28,plain,(
% 0.22/0.57 spl1_1 | spl1_2),
% 0.22/0.57 inference(avatar_split_clause,[],[f18,f25,f21])).
% 0.22/0.57 tff(f29,plain,(
% 0.22/0.57 ~spl1_1 | ~spl1_2),
% 0.22/0.57 inference(avatar_split_clause,[],[f19,f25,f21])).
% 0.22/0.57 tff(f30,plain,(
% 0.22/0.57 0 != $uminus(0) | (spl1_1 | ~spl1_2)),
% 0.22/0.57 inference(forward_demodulation,[],[f22,f27])).
% 0.22/0.57 tff(f31,plain,(
% 0.22/0.57 $false | (spl1_1 | ~spl1_2)),
% 0.22/0.57 inference(evaluation,[],[f30])).
% 0.22/0.57 tff(f32,plain,(
% 0.22/0.57 spl1_1 | ~spl1_2),
% 0.22/0.57 inference(avatar_contradiction_clause,[],[f31])).
% 0.22/0.57 tff(f34,plain,(
% 0.22/0.57 0 = $sum(sK0,sK0) | ~spl1_1),
% 0.22/0.57 inference(superposition,[],[f7,f23])).
% 0.22/0.57 tff(f99,plain,(
% 0.22/0.57 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(X2,X0)) | ~$less(X1,X2)) )),
% 0.22/0.57 inference(superposition,[],[f11,f3])).
% 0.22/0.57 tff(f101,plain,(
% 0.22/0.57 ( ! [X0 : $int] : ($less(0,$sum(X0,sK0)) | ~$less(sK0,X0)) ) | ~spl1_1),
% 0.22/0.57 inference(superposition,[],[f11,f34])).
% 0.22/0.57 tff(f112,plain,(
% 0.22/0.57 ( ! [X0 : $int] : ($less(0,$sum(sK0,X0)) | ~$less(sK0,X0)) ) | ~spl1_1),
% 0.22/0.57 inference(superposition,[],[f101,f3])).
% 0.22/0.57 tff(f201,definition,(
% 0.22/0.57 spl1_4 <=> $less(sK0,0)),
% 0.22/0.57 introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition])).
% 0.22/0.57 tff(f202,plain,(
% 0.22/0.57 $less(sK0,0) | ~spl1_4),
% 0.22/0.57 inference(avatar_component_clause,[],[f201])).
% 0.22/0.57 tff(f203,plain,(
% 0.22/0.57 ~$less(sK0,0) | spl1_4),
% 0.22/0.57 inference(avatar_component_clause,[],[f201])).
% 0.22/0.57 tff(f252,plain,(
% 0.22/0.57 $less(0,sK0) | 0 = sK0 | spl1_4),
% 0.22/0.57 inference(resolution,[],[f203,f10])).
% 0.22/0.57 tff(f253,plain,(
% 0.22/0.57 $less(0,sK0) | (spl1_2 | spl1_4)),
% 0.22/0.57 inference(forward_subsumption_resolution,[],[f252,f26])).
% 0.22/0.57 tff(f383,plain,(
% 0.22/0.57 $less(0,sK0) | ~$less(sK0,0) | ~spl1_1),
% 0.22/0.57 inference(superposition,[],[f112,f5])).
% 0.22/0.57 tff(f410,plain,(
% 0.22/0.57 ( ! [X0 : $int] : ($less($sum(sK0,X0),0) | ~$less(X0,sK0)) ) | ~spl1_1),
% 0.22/0.57 inference(superposition,[],[f99,f34])).
% 0.22/0.57 tff(f425,plain,(
% 0.22/0.57 $less(sK0,0) | ~$less(0,sK0) | ~spl1_1),
% 0.22/0.57 inference(superposition,[],[f410,f5])).
% 0.22/0.57 tff(f430,plain,(
% 0.22/0.57 ~$less(0,sK0) | (~spl1_1 | spl1_4)),
% 0.22/0.57 inference(forward_subsumption_resolution,[],[f425,f203])).
% 0.22/0.57 tff(f432,plain,(
% 0.22/0.57 $false | (~spl1_1 | spl1_2 | spl1_4)),
% 0.22/0.57 inference(forward_subsumption_resolution,[],[f430,f253])).
% 0.22/0.57 tff(f433,plain,(
% 0.22/0.57 ~spl1_1 | spl1_2 | spl1_4),
% 0.22/0.57 inference(avatar_contradiction_clause,[],[f432])).
% 0.22/0.57 tff(f435,definition,(
% 0.22/0.57 spl1_7 <=> $less(0,sK0)),
% 0.22/0.57 introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition])).
% 0.22/0.57 tff(f437,plain,(
% 0.22/0.57 $less(0,sK0) | ~spl1_7),
% 0.22/0.57 inference(avatar_component_clause,[],[f435])).
% 0.22/0.57 tff(f438,plain,(
% 0.22/0.57 ~spl1_4 | spl1_7 | ~spl1_1),
% 0.22/0.57 inference(avatar_split_clause,[],[f383,f21,f435,f201])).
% 0.22/0.57 tff(f473,plain,(
% 0.22/0.57 ( ! [X0 : $int] : (~$less(X0,sK0) | $less(X0,0)) ) | ~spl1_4),
% 0.22/0.57 inference(resolution,[],[f202,f9])).
% 0.22/0.57 tff(f555,plain,(
% 0.22/0.57 $less(0,0) | (~spl1_4 | ~spl1_7)),
% 0.22/0.57 inference(resolution,[],[f473,f437])).
% 0.22/0.57 tff(f559,plain,(
% 0.22/0.57 $false | (~spl1_4 | ~spl1_7)),
% 0.22/0.57 inference(evaluation,[],[f555])).
% 0.22/0.57 tff(f560,plain,(
% 0.22/0.57 ~spl1_4 | ~spl1_7),
% 0.22/0.57 inference(avatar_contradiction_clause,[],[f559])).
% 0.22/0.57 cnf(s1, plain, spl1_1 | spl1_2, inference(sat_conversion,[],[f28])).
% 0.22/0.57 cnf(s2, plain, ~spl1_1 | ~spl1_2, inference(sat_conversion,[],[f29])).
% 0.22/0.57 cnf(s3, plain, spl1_1 | ~spl1_2, inference(sat_conversion,[],[f32])).
% 0.22/0.57 cnf(s7, plain, ~spl1_1 | spl1_2 | spl1_4, inference(sat_conversion,[],[f433])).
% 0.22/0.57 cnf(s8, plain, ~spl1_1 | ~spl1_4 | spl1_7, inference(sat_conversion,[],[f438])).
% 0.22/0.57 cnf(s14, plain, ~spl1_4 | ~spl1_7, inference(sat_conversion,[],[f560])).
% 0.22/0.57 cnf(s15, plain, spl1_1, inference(rat,[],[s1,s3])).
% 0.22/0.57 cnf(s16, plain, ~spl1_2, inference(rat,[],[s2,s15])).
% 0.22/0.57 cnf(s17, plain, spl1_4, inference(rat,[],[s7,s15,s16])).
% 0.22/0.57 cnf(s18, plain, ~spl1_7, inference(rat,[],[s14,s17])).
% 0.22/0.57 cnf(s20, plain, $false, inference(rat,[],[s8,s15,s18,s17])).
% 0.22/0.57 tff(f561,plain,(
% 0.22/0.57 $false),
% 0.22/0.57 inference(avatar_sat_refutation,[],[s20])).
% 0.22/0.57 % SZS output end Proof for theBenchmark
% 0.22/0.57 % (1191687)------------------------------
% 0.22/0.57 % (1191687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.57 % (1191687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.57 % (1191687)CaDiCaL version: 2.1.3
% 0.22/0.57 % (1191687)Termination reason: Refutation
% 0.22/0.57 % (1191687)Time elapsed: 0.025 s
% 0.22/0.57 % (1191687)Peak memory usage: 12 MB
% 0.22/0.57 % (1191687)Instructions burned: 20 (million)
% 0.22/0.57 % (1191679)Success in time 0.054 s
% 0.22/0.57 % Vampire exiting
%------------------------------------------------------------------------------