%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI342_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 : n019.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 09:34:25 AM UTC 2026
% Result : Theorem 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI342_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:47:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.30 % (219945)Will run a generic schedule for satisfiability detection.
% 0.20/0.30 % (219953)dis+10_1_sil=32000:sp=arity:random_seed=4225770835:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30 % (219951)% WARNING: option uhcvi not known.
% 0.20/0.30 % (219951)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=960652883:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30 % (219950)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3469787600_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30 % (219952)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3788776426:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30 % (219954)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1778846768:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30 % (219950)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.30 % (219950)Terminated due to inappropriate strategy.
% 0.20/0.30 % (219950)------------------------------
% 0.20/0.30 % (219950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (219950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (219950)CaDiCaL version: 2.1.3
% 0.20/0.30 % (219950)Termination reason: Inappropriate
% 0.20/0.30 % (219950)Time elapsed: 0.0000 s
% 0.20/0.30 % (219950)Peak memory usage: 10 MB
% 0.20/0.30 % (219950)------------------------------
% 0.20/0.30 % (219950)------------------------------
% 0.20/0.30 % (219956)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1011523041:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30 % (219955)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1436657384:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30 % (219962)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1940786995:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.30 % (219962)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.30 % (219962)Terminated due to inappropriate strategy.
% 0.20/0.30 % (219962)------------------------------
% 0.20/0.30 % (219962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (219962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (219962)CaDiCaL version: 2.1.3
% 0.20/0.30 % (219962)Termination reason: Inappropriate
% 0.20/0.30 % (219962)Time elapsed: 0.0000 s
% 0.20/0.30 % (219962)Peak memory usage: 10 MB
% 0.20/0.30 % (219962)------------------------------
% 0.20/0.30 % (219962)------------------------------
% 0.20/0.30 % (219953)Instruction limit reached!
% 0.20/0.30 % (219953)------------------------------
% 0.20/0.30 % (219953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (219953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (219953)CaDiCaL version: 2.1.3
% 0.20/0.30 % (219953)Termination reason: Instruction limit
% 0.20/0.30 % (219953)Termination phase: Saturation
% 0.20/0.30 % (219953)Time elapsed: 0.035 s
% 0.20/0.30 % (219953)Peak memory usage: 12 MB
% 0.20/0.30 % (219953)Instructions burned: 104 (million)
% 0.20/0.30 % (219951) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-219945-219951"...
% 0.20/0.30 % (219951)...printing done.
% 0.20/0.30 % (219951)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Theorem for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% 0.20/0.30 tff(f1,conjecture,(
% 0.20/0.30 ? [X0 : $rat] : $less($sum(X0,X0),-13/2)),
% 0.20/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_8)).
% 0.20/0.30 tff(f2,negated_conjecture,(
% 0.20/0.30 ~ ? [X0 : $rat] : $less($sum(X0,X0),-13/2)),
% 0.20/0.30 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.30 tff(f3,definition,(
% 0.20/0.30 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.20/0.30 introduced(theory,[tha_commutativity])).
% 0.20/0.30 tff(f4,definition,(
% 0.20/0.30 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.20/0.30 introduced(theory,[tha_associativity])).
% 0.20/0.30 tff(f7,definition,(
% 0.20/0.30 ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.20/0.30 introduced(theory,[tha_inverse_op_unit])).
% 0.20/0.30 tff(f10,definition,(
% 0.20/0.30 ( ! [X0 : $rat,X1 : $rat] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 0.20/0.30 introduced(theory,[tha_order_totality])).
% 0.20/0.30 tff(f11,definition,(
% 0.20/0.30 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.20/0.30 introduced(theory,[tha_order_monotonicity])).
% 0.20/0.30 tff(f14,plain,(
% 0.20/0.30 ! [X0 : $rat] : ~$less($sum(X0,X0),-13/2)),
% 0.20/0.30 inference(ennf_transformation,[],[f2])).
% 0.20/0.30 tff(f15,plain,(
% 0.20/0.30 ( ! [X0 : $rat] : (~$less($sum(X0,X0),-13/2)) )),
% 0.20/0.30 inference(cnf_transformation,[],[f14])).
% 0.20/0.30 tff(f39,plain,(
% 0.20/0.30 ( ! [X0 : $rat] : ($less(-13/2,$sum(X0,X0)) | $sum(X0,X0) = -13/2) )),
% 0.20/0.30 inference(resolution,[],[f10,f15])).
% 0.20/0.30 tff(f64,plain,(
% 0.20/0.30 ( ! [X0 : $rat,X1 : $rat] : (~$less(X0,X1) | $less(0/1,$sum(X1,$uminus(X0)))) )),
% 0.20/0.30 inference(superposition,[],[f11,f7])).
% 0.20/0.30 tff(f78,plain,(
% 0.20/0.30 ( ! [X0 : $rat,X1 : $rat] : ($sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.20/0.30 inference(superposition,[],[f4,f7])).
% 0.20/0.30 tff(f98,plain,(
% 0.20/0.30 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.20/0.30 inference(evaluation,[],[f78])).
% 0.20/0.30 tff(f170,plain,(
% 0.20/0.30 ( ! [X0 : $rat] : ($less(0/1,$sum($sum(X0,X0),$uminus(-13/2))) | $sum(X0,X0) = -13/2) )),
% 0.20/0.30 inference(resolution,[],[f64,f39])).
% 0.20/0.30 tff(f171,plain,(
% 0.20/0.30 ( ! [X0 : $rat] : ($less(0/1,$sum($sum(X0,X0),13/2)) | $sum(X0,X0) = -13/2) )),
% 0.20/0.31 inference(evaluation,[],[f170])).
% 0.20/0.31 tff(f172,plain,(
% 0.20/0.31 ( ! [X0 : $rat] : ($less(0/1,$sum(13/2,$sum(X0,X0))) | $sum(X0,X0) = -13/2) )),
% 0.20/0.31 inference(forward_demodulation,[],[f171,f3])).
% 0.20/0.31 tff(f1266,plain,(
% 0.20/0.31 $less(0/1,$uminus(13/2)) | -13/2 = $sum($uminus(13/2),$uminus(13/2))),
% 0.20/0.31 inference(superposition,[],[f172,f98])).
% 0.20/0.31 tff(f1269,plain,(
% 0.20/0.31 $false),
% 0.20/0.31 inference(evaluation,[],[f1266])).
% 0.20/0.31 % SZS output end Proof for theBenchmark
% 0.20/0.31 % (219951)------------------------------
% 0.20/0.31 % (219951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (219951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (219951)CaDiCaL version: 2.1.3
% 0.20/0.31 % (219951)Termination reason: Refutation
% 0.20/0.31 % (219951)Time elapsed: 0.030 s
% 0.20/0.31 % (219951)Peak memory usage: 12 MB
% 0.20/0.31 % (219951)Instructions burned: 46 (million)
% 0.20/0.31 % (219945)Success in time 0.064 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------