%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI279_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 : n005.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 09:34:20 AM UTC 2026
% Result : Theorem 0.25s 0.34s
% Output : Refutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI279_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 % Computer : n005.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 20:45:47 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.30 Running first-order model finding
% 0.10/0.30 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
% 0.25/0.34 % (1142840)Will run a generic schedule for satisfiability detection.
% 0.25/0.34 % (1142846)% WARNING: option uhcvi not known.
% 0.25/0.34 % (1142849)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1800504291:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.25/0.34 % (1142846)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=521252072:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.25/0.34 % (1142847)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1050964898:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.25/0.34 % (1142848)dis+10_1_sil=32000:sp=arity:random_seed=444742013:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.25/0.34 % (1142850)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=469959920:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.25/0.34 % (1142849) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1142840-1142849"...
% 0.25/0.34 % (1142846) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1142840-1142846"...
% 0.25/0.34 % (1142849)...printing done.
% 0.25/0.34 % (1142845)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=990533733_3000 on theBenchmark for (3000ds/0Mi)
% 0.25/0.34 % (1142846)...printing done.
% 0.25/0.34 % (1142845)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.25/0.34 % (1142845)Terminated due to inappropriate strategy.
% 0.25/0.34 % (1142845)------------------------------
% 0.25/0.34 % (1142845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.34 % (1142845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.34 % (1142845)CaDiCaL version: 2.1.3
% 0.25/0.34 % (1142845)Termination reason: Inappropriate
% 0.25/0.34 % (1142845)Time elapsed: 0.0000 s
% 0.25/0.34 % (1142845)Peak memory usage: 10 MB
% 0.25/0.34 % (1142849)Refutation found. Thanks to Tanya!
% 0.25/0.34 % SZS status Theorem for theBenchmark
% 0.25/0.34 % SZS output start Proof for theBenchmark
% 0.25/0.34 tff(func_def_8, type, sK0: $rat).
% 0.25/0.34 tff(f1,conjecture,(
% 0.25/0.34 ! [X0 : $rat] : ($difference(X0,3/16) = 5/16 => X0 = 1/2)),
% 0.25/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_7)).
% 0.25/0.34 tff(f2,negated_conjecture,(
% 0.25/0.34 ~ ! [X0 : $rat] : ($difference(X0,3/16) = 5/16 => X0 = 1/2)),
% 0.25/0.34 inference(negated_conjecture,[status(cth)],[f1])).
% 0.25/0.34 tff(f3,plain,(
% 0.25/0.34 ~ ! [X0 : $rat] : (5/16 = $sum(X0,$uminus(3/16)) => X0 = 1/2)),
% 0.25/0.34 inference(theory_normalization,[],[f2])).
% 0.25/0.34 tff(f4,definition,(
% 0.25/0.34 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.25/0.34 introduced(theory,[tha_commutativity])).
% 0.25/0.34 tff(f5,definition,(
% 0.25/0.34 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.25/0.34 introduced(theory,[tha_associativity])).
% 0.25/0.34 tff(f8,definition,(
% 0.25/0.34 ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.25/0.34 introduced(theory,[tha_inverse_op_unit])).
% 0.25/0.34 tff(f15,plain,(
% 0.25/0.34 ? [X0 : $rat] : (1/2 != X0 & 5/16 = $sum(X0,$uminus(3/16)))),
% 0.25/0.34 inference(ennf_transformation,[],[f3])).
% 0.25/0.34 tff(f16,plain,(
% 0.25/0.34 5/16 = $sum(sK0,$uminus(3/16))),
% 0.25/0.34 inference(cnf_transformation,[],[f15])).
% 0.25/0.34 tff(f17,plain,(
% 0.25/0.34 1/2 != sK0),
% 0.25/0.34 inference(cnf_transformation,[],[f15])).
% 0.25/0.34 tff(f18,plain,(
% 0.25/0.34 5/16 = $sum(sK0,-3/16)),
% 0.25/0.34 inference(evaluation,[],[f16])).
% 0.25/0.34 tff(f101,plain,(
% 0.25/0.34 ( ! [X0 : $rat,X1 : $rat] : ($sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.25/0.34 inference(superposition,[],[f5,f8])).
% 0.25/0.34 tff(f106,plain,(
% 0.25/0.34 ( ! [X0 : $rat] : ($sum(sK0,$sum(-3/16,X0)) = $sum(5/16,X0)) )),
% 0.25/0.34 inference(superposition,[],[f5,f18])).
% 0.25/0.34 tff(f115,plain,(
% 0.25/0.34 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1))) )),
% 0.25/0.34 inference(superposition,[],[f4,f5])).
% 0.25/0.34 tff(f121,plain,(
% 0.25/0.34 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.25/0.34 inference(evaluation,[],[f101])).
% 0.25/0.34 tff(f122,plain,(
% 0.25/0.34 ( ! [X0 : $rat] : ($sum(5/16,X0) = $sum(-3/16,$sum(X0,sK0))) )),
% 0.25/0.34 inference(forward_demodulation,[],[f106,f115])).
% 0.25/0.34 tff(f181,plain,(
% 0.25/0.34 sK0 = $sum(5/16,$uminus(-3/16))),
% 0.25/0.34 inference(superposition,[],[f122,f121])).
% 0.25/0.34 tff(f182,plain,(
% 0.25/0.34 1/2 = sK0),
% 0.25/0.34 inference(evaluation,[],[f181])).
% 0.25/0.34 tff(f186,plain,(
% 0.25/0.34 $false),
% 0.25/0.34 inference(forward_subsumption_resolution,[],[f182,f17])).
% 0.25/0.34 % SZS output end Proof for theBenchmark
% 0.25/0.34 % (1142849)------------------------------
% 0.25/0.34 % (1142849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.34 % (1142849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.34 % (1142849)CaDiCaL version: 2.1.3
% 0.25/0.34 % (1142849)Termination reason: Refutation
% 0.25/0.34 % (1142849)Time elapsed: 0.005 s
% 0.25/0.34 % (1142849)Peak memory usage: 12 MB
% 0.25/0.34 % (1142849)Instructions burned: 8 (million)
% 0.25/0.34 % (1142840)Success in time 0.031 s
% 0.25/0.34 % Vampire exiting
%------------------------------------------------------------------------------