%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM909_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 : n012.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 0.10s 0.39s
% Output : Refutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM909_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 27 21:38:49 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 Running first-order model finding
% 0.10/0.36 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
% 0.10/0.39 % (2769358)Will run a generic schedule for satisfiability detection.
% 0.10/0.39 % (2769364)% WARNING: option uhcvi not known.
% 0.10/0.39 % (2769368)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3932455:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.10/0.39 % (2769364)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=496607478:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.10/0.39 % (2769363)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2925595358_3000 on theBenchmark for (3000ds/0Mi)
% 0.10/0.39 % (2769365)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3872182105:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.10/0.39 % (2769368) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2769358-2769368"...
% 0.10/0.39 % (2769367)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2686412385:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.10/0.39 % (2769363)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.39 % (2769363)Terminated due to inappropriate strategy.
% 0.10/0.39 % (2769363)------------------------------
% 0.10/0.39 % (2769363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.39 % (2769363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.39 % (2769363)CaDiCaL version: 2.1.3
% 0.10/0.39 % (2769363)Termination reason: Inappropriate
% 0.10/0.39 % (2769363)Time elapsed: 0.0000 s
% 0.10/0.39 % (2769363)Peak memory usage: 10 MB
% 0.10/0.39 % (2769368)...printing done.
% 0.10/0.39 % (2769363)------------------------------
% 0.10/0.39 % (2769363)------------------------------
% 0.10/0.39 % (2769366)dis+10_1_sil=32000:sp=arity:random_seed=2455042050:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.10/0.39 % (2769368)Refutation found. Thanks to Tanya!
% 0.10/0.39 % SZS status Theorem for theBenchmark
% 0.10/0.39 % SZS output start Proof for theBenchmark
% 0.10/0.39 tff(func_def_5, type, sK0: $real).
% 0.10/0.39 tff(func_def_6, type, sK1: $real).
% 0.10/0.39 tff(f1,conjecture,(
% 0.10/0.39 ! [X0 : $real,X1 : $real] : ($difference(X0,X1) = 0/1 => X0 = X1)),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_difference_problem_13)).
% 0.10/0.39 tff(f2,negated_conjecture,(
% 0.10/0.39 ~ ! [X0 : $real,X1 : $real] : ($difference(X0,X1) = 0/1 => X0 = X1)),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.39 tff(f3,plain,(
% 0.10/0.39 ~ ! [X0 : $real,X1 : $real] : (0/1 = $sum(X0,$uminus(X1)) => X0 = X1)),
% 0.10/0.39 inference(theory_normalization,[],[f2])).
% 0.10/0.39 tff(f5,definition,(
% 0.10/0.39 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.10/0.39 introduced(theory,[tha_associativity])).
% 0.10/0.39 tff(f8,definition,(
% 0.10/0.39 ( ! [X0 : $real] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.10/0.39 introduced(theory,[tha_inverse_op_unit])).
% 0.10/0.39 tff(f15,plain,(
% 0.10/0.39 ? [X0 : $real,X1 : $real] : (X0 != X1 & 0/1 = $sum(X0,$uminus(X1)))),
% 0.10/0.39 inference(ennf_transformation,[],[f3])).
% 0.10/0.39 tff(f16,plain,(
% 0.10/0.39 sK0 != sK1 & 0/1 = $sum(sK0,$uminus(sK1))),
% 0.10/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f15])).
% 0.10/0.39 tff(f17,plain,(
% 0.10/0.39 0/1 = $sum(sK0,$uminus(sK1))),
% 0.10/0.39 inference(cnf_transformation,[],[f16])).
% 0.10/0.39 tff(f18,plain,(
% 0.10/0.39 sK0 != sK1),
% 0.10/0.39 inference(cnf_transformation,[],[f16])).
% 0.10/0.39 tff(f85,plain,(
% 0.10/0.39 ( ! [X0 : $real] : ($sum(0/1,X0) = $sum(sK0,$sum($uminus(sK1),X0))) )),
% 0.10/0.39 inference(superposition,[],[f5,f17])).
% 0.10/0.39 tff(f99,plain,(
% 0.10/0.39 ( ! [X0 : $real] : ($sum(sK0,$sum($uminus(sK1),X0)) = X0) )),
% 0.10/0.39 inference(evaluation,[],[f85])).
% 0.10/0.39 tff(f109,plain,(
% 0.10/0.39 $uminus($uminus(sK1)) = $sum(sK0,0/1)),
% 0.10/0.39 inference(superposition,[],[f99,f8])).
% 0.10/0.39 tff(f114,plain,(
% 0.10/0.39 sK0 = sK1),
% 0.10/0.39 inference(evaluation,[],[f109])).
% 0.10/0.39 tff(f117,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(forward_subsumption_resolution,[],[f114,f18])).
% 0.10/0.39 % SZS output end Proof for theBenchmark
% 0.10/0.39 % (2769368)------------------------------
% 0.10/0.39 % (2769368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.39 % (2769368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.39 % (2769368)CaDiCaL version: 2.1.3
% 0.10/0.39 % (2769368)Termination reason: Refutation
% 0.10/0.39 % (2769368)Time elapsed: 0.003 s
% 0.10/0.39 % (2769368)Peak memory usage: 12 MB
% 0.10/0.39 % (2769368)Instructions burned: 5 (million)
% 0.10/0.39 % (2769358)Success in time 0.021 s
% 0.10/0.39 % Vampire exiting
%------------------------------------------------------------------------------