%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI493_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 : n013.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 09:34:41 AM UTC 2026
% Result : Theorem 0.13s 0.25s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI493_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.17 % Computer : n013.cluster.edu
% 0.13/0.17 % Model : x86_64 x86_64
% 0.13/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.17 % Memory : 8046.5625MB
% 0.13/0.17 % OS : Linux 6.8.0-71-generic
% 0.13/0.17 % CPULimit : 300
% 0.13/0.17 % WCLimit : 300
% 0.13/0.17 % DateTime : Mon Sep 28 20:49:51 UTC 2026
% 0.13/0.18 % CPUTime :
% 0.13/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.21 Running first-order model finding
% 0.13/0.21 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
% 0.13/0.25 % (1555901)Will run a generic schedule for satisfiability detection.
% 0.13/0.25 % (1555922)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2960595335:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.25 % (1555917)% WARNING: option uhcvi not known.
% 0.13/0.25 % (1555916)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4001492857_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.25 % (1555920)dis+10_1_sil=32000:sp=arity:random_seed=2158794322:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.25 % (1555916)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.25 % (1555916)Terminated due to inappropriate strategy.
% 0.13/0.25 % (1555916)------------------------------
% 0.13/0.25 % (1555916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.25 % (1555916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.25 % (1555916)CaDiCaL version: 2.1.3
% 0.13/0.25 % (1555916)Termination reason: Inappropriate
% 0.13/0.25 % (1555916)Time elapsed: 0.0000 s
% 0.13/0.25 % (1555916)Peak memory usage: 10 MB
% 0.13/0.25 % (1555922) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1555901-1555922"...
% 0.13/0.25 % (1555919)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1266708872:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.25 % (1555923)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=64381141:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.25 % (1555917)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2168333822:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.25 % (1555921)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3086387074:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.25 % (1555922)...printing done.
% 0.13/0.25 % (1555916)------------------------------
% 0.13/0.25 % (1555916)------------------------------
% 0.13/0.25 % (1555922)Refutation found. Thanks to Tanya!
% 0.13/0.25 % SZS status Theorem for theBenchmark
% 0.13/0.25 % SZS output start Proof for theBenchmark
% 0.13/0.25 tff(f1,conjecture,(
% 0.13/0.25 ? [X0 : $real] : $less($sum(X0,X0),-13/2)),
% 0.13/0.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_8)).
% 0.13/0.25 tff(f2,negated_conjecture,(
% 0.13/0.25 ~ ? [X0 : $real] : $less($sum(X0,X0),-13/2)),
% 0.13/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.25 tff(f3,definition,(
% 0.13/0.25 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.13/0.25 introduced(theory,[tha_commutativity])).
% 0.13/0.25 tff(f4,definition,(
% 0.13/0.25 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.13/0.25 introduced(theory,[tha_associativity])).
% 0.13/0.25 tff(f7,definition,(
% 0.13/0.25 ( ! [X0 : $real] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.13/0.25 introduced(theory,[tha_inverse_op_unit])).
% 0.13/0.25 tff(f9,definition,(
% 0.13/0.25 ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 0.13/0.25 introduced(theory,[tha_transitivity])).
% 0.13/0.25 tff(f11,definition,(
% 0.13/0.25 ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
% 0.13/0.25 introduced(theory,[tha_order_monotonicity])).
% 0.13/0.25 tff(f12,definition,(
% 0.13/0.25 ( ! [X0 : $real,X1 : $real] : ($less(X0,X1) | $less(X1,$sum(X0,1/1))) )),
% 0.13/0.25 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.13/0.25 tff(f14,plain,(
% 0.13/0.25 ! [X0 : $real] : ~$less($sum(X0,X0),-13/2)),
% 0.13/0.25 inference(ennf_transformation,[],[f2])).
% 0.13/0.25 tff(f15,plain,(
% 0.13/0.25 ( ! [X0 : $real] : (~$less($sum(X0,X0),-13/2)) )),
% 0.13/0.25 inference(cnf_transformation,[],[f14])).
% 0.13/0.25 tff(f23,plain,(
% 0.13/0.25 ( ! [X0 : $real] : ($less(-13/2,$sum($sum(X0,X0),1/1))) )),
% 0.13/0.25 inference(resolution,[],[f12,f15])).
% 0.13/0.25 tff(f27,plain,(
% 0.13/0.25 ( ! [X0 : $real] : ($less(-13/2,$sum(1/1,$sum(X0,X0)))) )),
% 0.13/0.25 inference(forward_demodulation,[],[f23,f3])).
% 0.13/0.25 tff(f30,plain,(
% 0.13/0.25 ( ! [X0 : $real,X1 : $real] : (~$less($sum(1/1,$sum(X0,X0)),X1) | $less(-13/2,X1)) )),
% 0.13/0.25 inference(resolution,[],[f27,f9])).
% 0.13/0.25 tff(f71,plain,(
% 0.13/0.25 ( ! [X0 : $real,X1 : $real] : ($sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.13/0.25 inference(superposition,[],[f4,f7])).
% 0.13/0.25 tff(f89,plain,(
% 0.13/0.25 ( ! [X0 : $real,X1 : $real] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.13/0.25 inference(evaluation,[],[f71])).
% 0.13/0.25 tff(f197,plain,(
% 0.13/0.25 ( ! [X0 : $real] : (~$less($uminus(1/1),X0) | $less(-13/2,X0)) )),
% 0.13/0.25 inference(superposition,[],[f30,f89])).
% 0.13/0.25 tff(f201,plain,(
% 0.13/0.25 ( ! [X0 : $real] : (~$less(-1/1,X0) | $less(-13/2,X0)) )),
% 0.13/0.25 inference(evaluation,[],[f197])).
% 0.13/0.25 tff(f230,plain,(
% 0.13/0.25 ( ! [X0 : $real] : ($less(-13/2,X0) | $less(X0,$sum(-1/1,1/1))) )),
% 0.13/0.25 inference(resolution,[],[f201,f12])).
% 0.13/0.25 tff(f234,plain,(
% 0.13/0.25 ( ! [X0 : $real] : ($less(-13/2,X0) | $less(X0,0/1)) )),
% 0.13/0.25 inference(evaluation,[],[f230])).
% 0.13/0.25 tff(f266,plain,(
% 0.13/0.25 ( ! [X0 : $real,X1 : $real] : ($less(-13/2,X0) | $less($sum(X0,X1),$sum(0/1,X1))) )),
% 0.13/0.25 inference(resolution,[],[f234,f11])).
% 0.13/0.25 tff(f269,plain,(
% 0.13/0.25 ( ! [X0 : $real,X1 : $real] : ($less($sum(X0,X1),X1) | $less(-13/2,X0)) )),
% 0.13/0.25 inference(evaluation,[],[f266])).
% 0.13/0.25 tff(f408,plain,(
% 0.13/0.25 $less(-13/2,-13/2)),
% 0.13/0.25 inference(resolution,[],[f269,f15])).
% 0.13/0.25 tff(f421,plain,(
% 0.13/0.25 $false),
% 0.13/0.25 inference(evaluation,[],[f408])).
% 0.13/0.25 % SZS output end Proof for theBenchmark
% 0.13/0.25 % (1555922)------------------------------
% 0.13/0.25 % (1555922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.25 % (1555922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.25 % (1555922)CaDiCaL version: 2.1.3
% 0.13/0.25 % (1555922)Termination reason: Refutation
% 0.13/0.25 % (1555922)Time elapsed: 0.007 s
% 0.13/0.25 % (1555922)Peak memory usage: 12 MB
% 0.13/0.25 % (1555922)Instructions burned: 17 (million)
% 0.13/0.25 % (1555901)Success in time 0.036 s
% 0.13/0.25 % Vampire exiting
%------------------------------------------------------------------------------