%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM902_1 : TPTP v9.3.1. Released v5.0.0.
% 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 12:26:01 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM902_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 21:41:09 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.47 % (2749637)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2749642)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2732641490_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (2749642)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.47 % (2749642)Terminated due to inappropriate strategy.
% 0.17/0.47 % (2749642)------------------------------
% 0.17/0.47 % (2749642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2749642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2749642)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2749642)Termination reason: Inappropriate
% 0.17/0.47 % (2749642)Time elapsed: 0.0000 s
% 0.17/0.47 % (2749642)Peak memory usage: 10 MB
% 0.17/0.47 % (2749642)------------------------------
% 0.17/0.47 % (2749642)------------------------------
% 0.17/0.47 % (2749643)% WARNING: option uhcvi not known.
% 0.17/0.47 % (2749644)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2629551857:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (2749643)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2567554980:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (2749645)dis+10_1_sil=32000:sp=arity:random_seed=3990722034:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (2749646)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4219505947:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (2749648)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1755478651:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (2749647)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2085294919:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (2749643) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2749637-2749643"...
% 0.17/0.47 % (2749650)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1337958523:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.47 % (2749645) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2749637-2749645"...
% 0.17/0.47 % (2749650)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.47 % (2749650)Terminated due to inappropriate strategy.
% 0.17/0.47 % (2749650)------------------------------
% 0.17/0.47 % (2749650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2749650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2749650)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2749650)Termination reason: Inappropriate
% 0.17/0.47 % (2749650)Time elapsed: 0.0000 s
% 0.17/0.47 % (2749650)Peak memory usage: 11 MB
% 0.17/0.47 % (2749643)...printing done.
% 0.17/0.47 % (2749647) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2749637-2749647"...
% 0.17/0.47 % (2749646) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2749637-2749646"...
% 0.17/0.47 % (2749650)------------------------------
% 0.17/0.47 % (2749650)------------------------------
% 0.17/0.47 % (2749643)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% 0.17/0.47 tff(func_def_5, type, sK0: $rat).
% 0.17/0.47 tff(func_def_6, type, sK1: $rat).
% 0.17/0.47 tff(f1,conjecture,(
% 0.17/0.47 ! [X0 : $rat,X1 : $rat] : ($difference(X0,X1) = 0/1 => X0 = X1)),
% 0.17/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_difference_problem_13)).
% 0.17/0.47 tff(f2,negated_conjecture,(
% 0.17/0.47 ~ ! [X0 : $rat,X1 : $rat] : ($difference(X0,X1) = 0/1 => X0 = X1)),
% 0.17/0.47 inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/0.47 tff(f3,plain,(
% 0.17/0.47 ~ ! [X0 : $rat,X1 : $rat] : (0/1 = $sum(X0,$uminus(X1)) => X0 = X1)),
% 0.17/0.47 inference(theory_normalization,[],[f2])).
% 0.17/0.47 tff(f5,definition,(
% 0.17/0.47 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.17/0.47 introduced(theory,[tha_associativity])).
% 0.17/0.47 tff(f8,definition,(
% 0.17/0.47 ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.17/0.47 introduced(theory,[tha_inverse_op_unit])).
% 0.17/0.47 tff(f15,plain,(
% 0.17/0.47 ? [X0 : $rat,X1 : $rat] : (X0 != X1 & 0/1 = $sum(X0,$uminus(X1)))),
% 0.17/0.47 inference(ennf_transformation,[],[f3])).
% 0.17/0.47 tff(f16,plain,(
% 0.17/0.47 0/1 = $sum(sK0,$uminus(sK1))),
% 0.17/0.47 inference(cnf_transformation,[],[f15])).
% 0.17/0.47 tff(f17,plain,(
% 0.17/0.47 sK0 != sK1),
% 0.17/0.47 inference(cnf_transformation,[],[f15])).
% 0.17/0.47 tff(f64,plain,(
% 0.17/0.47 ( ! [X0 : $rat] : ($sum(0/1,X0) = $sum(sK0,$sum($uminus(sK1),X0))) )),
% 0.17/0.47 inference(superposition,[],[f5,f16])).
% 0.17/0.47 tff(f76,plain,(
% 0.17/0.47 ( ! [X0 : $rat] : ($sum(sK0,$sum($uminus(sK1),X0)) = X0) )),
% 0.17/0.47 inference(evaluation,[],[f64])).
% 0.17/0.47 tff(f82,plain,(
% 0.17/0.47 $uminus($uminus(sK1)) = $sum(sK0,0/1)),
% 0.17/0.47 inference(superposition,[],[f76,f8])).
% 0.17/0.47 tff(f88,plain,(
% 0.17/0.47 sK0 = sK1),
% 0.17/0.47 inference(evaluation,[],[f82])).
% 0.17/0.47 tff(f90,plain,(
% 0.17/0.47 $false),
% 0.17/0.47 inference(forward_subsumption_resolution,[],[f88,f17])).
% 0.17/0.47 % SZS output end Proof for theBenchmark
% 0.17/0.47 % (2749643)------------------------------
% 0.17/0.47 % (2749643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2749643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2749643)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2749643)Termination reason: Refutation
% 0.17/0.47 % (2749643)Time elapsed: 0.004 s
% 0.17/0.47 % (2749643)Peak memory usage: 12 MB
% 0.17/0.47 % (2749643)Instructions burned: 4 (million)
% 0.17/0.47 % (2749637)Success in time 0.041 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------