%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI608_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:34:57 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI608_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n020.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 20:54:19 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.21/0.29 % (542395)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (542414)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2054801215:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (542414) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-542395-542414"...
% 0.21/0.29 % (542414)...printing done.
% 0.21/0.29 % (542410)% WARNING: option uhcvi not known.
% 0.21/0.29 % (542414)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% 0.21/0.29 tff(func_def_0, type, f: $int > $int).
% 0.21/0.29 tff(func_def_1, type, a: $int).
% 0.21/0.29 tff(func_def_2, type, b: $int).
% 0.21/0.29 tff(func_def_3, type, c: $int).
% 0.21/0.29 tff(f1,conjecture,(
% 0.21/0.29 (! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) => $lesseq(f(X0),f(X1))) & $lesseq(a,b) & $less(b,c)) => $lesseq(f(a),f(c))),
% 0.21/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_mon_implies_trans)).
% 0.21/0.29 tff(f2,negated_conjecture,(
% 0.21/0.29 ~((! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) => $lesseq(f(X0),f(X1))) & $lesseq(a,b) & $less(b,c)) => $lesseq(f(a),f(c)))),
% 0.21/0.29 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.29 tff(f3,plain,(
% 0.21/0.29 ~((! [X0 : $int,X1 : $int] : (~$less(X1,X0) => ~$less(f(X1),f(X0))) & ~$less(b,a) & $less(b,c)) => ~$less(f(c),f(a)))),
% 0.21/0.29 inference(theory_normalization,[],[f2])).
% 0.21/0.29 tff(f10,definition,(
% 0.21/0.29 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 0.21/0.29 introduced(theory,[tha_transitivity])).
% 0.21/0.29 tff(f16,plain,(
% 0.21/0.29 $less(f(c),f(a)) & (! [X0 : $int,X1 : $int] : (~$less(f(X1),f(X0)) | $less(X1,X0)) & ~$less(b,a) & $less(b,c))),
% 0.21/0.29 inference(ennf_transformation,[],[f3])).
% 0.21/0.29 tff(f17,plain,(
% 0.21/0.29 $less(f(c),f(a)) & ! [X0 : $int,X1 : $int] : (~$less(f(X1),f(X0)) | $less(X1,X0)) & ~$less(b,a) & $less(b,c)),
% 0.21/0.29 inference(flattening,[],[f16])).
% 0.21/0.29 tff(f18,plain,(
% 0.21/0.29 ( ! [X0 : $int,X1 : $int] : (~$less(f(X1),f(X0)) | $less(X1,X0)) )),
% 0.21/0.29 inference(cnf_transformation,[],[f17])).
% 0.21/0.29 tff(f19,plain,(
% 0.21/0.29 $less(b,c)),
% 0.21/0.29 inference(cnf_transformation,[],[f17])).
% 0.21/0.29 tff(f20,plain,(
% 0.21/0.29 ~$less(b,a)),
% 0.21/0.29 inference(cnf_transformation,[],[f17])).
% 0.21/0.29 tff(f21,plain,(
% 0.21/0.29 $less(f(c),f(a))),
% 0.21/0.29 inference(cnf_transformation,[],[f17])).
% 0.21/0.29 tff(f22,plain,(
% 0.21/0.29 $less(c,a)),
% 0.21/0.29 inference(resolution,[],[f18,f21])).
% 0.21/0.29 tff(f49,plain,(
% 0.21/0.29 ( ! [X0 : $int] : (~$less(b,X0) | ~$less(X0,a)) )),
% 0.21/0.29 inference(resolution,[],[f10,f20])).
% 0.21/0.29 tff(f117,plain,(
% 0.21/0.29 ~$less(b,c)),
% 0.21/0.29 inference(resolution,[],[f49,f22])).
% 0.21/0.29 tff(f118,plain,(
% 0.21/0.29 $false),
% 0.21/0.29 inference(forward_subsumption_resolution,[],[f117,f19])).
% 0.21/0.29 % SZS output end Proof for theBenchmark
% 0.21/0.29 % (542414)------------------------------
% 0.21/0.29 % (542414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (542414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (542414)CaDiCaL version: 2.1.3
% 0.21/0.29 % (542414)Termination reason: Refutation
% 0.21/0.29 % (542414)Time elapsed: 0.002 s
% 0.21/0.29 % (542414)Peak memory usage: 12 MB
% 0.21/0.29 % (542414)Instructions burned: 4 (million)
% 0.21/0.29 % (542395)Success in time 0.037 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------