%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI193_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 : n002.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 09:34:10 AM UTC 2026
% Result : Theorem 0.24s 0.32s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI193_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n002.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 20:46:37 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.28 Running first-order model finding
% 0.24/0.28 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
% 0.24/0.32 % (727562)Will run a generic schedule for satisfiability detection.
% 0.24/0.32 % (727570)dis+10_1_sil=32000:sp=arity:random_seed=3467925709:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.24/0.32 % (727571)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1283825176:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.24/0.32 % (727570) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-727562-727570"...
% 0.24/0.32 % (727570)...printing done.
% 0.24/0.32 % (727570)Refutation found. Thanks to Tanya!
% 0.24/0.32 % SZS status Theorem for theBenchmark
% 0.24/0.32 % SZS output start Proof for theBenchmark
% 0.24/0.32 tff(f1,conjecture,(
% 0.24/0.32 ? [X0 : $rat] : $less(X0,9/16)),
% 0.24/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_less_problem_4)).
% 0.24/0.32 tff(f2,negated_conjecture,(
% 0.24/0.32 ~ ? [X0 : $rat] : $less(X0,9/16)),
% 0.24/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.24/0.32 tff(f3,definition,(
% 0.24/0.32 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.24/0.32 introduced(theory,[tha_commutativity])).
% 0.24/0.32 tff(f4,definition,(
% 0.24/0.32 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.24/0.32 introduced(theory,[tha_associativity])).
% 0.24/0.32 tff(f7,definition,(
% 0.24/0.32 ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.24/0.32 introduced(theory,[tha_inverse_op_unit])).
% 0.24/0.32 tff(f8,definition,(
% 0.24/0.32 ( ! [X0 : $rat] : (~$less(X0,X0)) )),
% 0.24/0.32 introduced(theory,[tha_non-reflexivity])).
% 0.24/0.32 tff(f12,definition,(
% 0.24/0.32 ( ! [X0 : $rat,X1 : $rat] : ($less(X1,$sum(X0,1/1)) | $less(X0,X1)) )),
% 0.24/0.32 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.24/0.32 tff(f14,plain,(
% 0.24/0.32 ! [X0 : $rat] : ~$less(X0,9/16)),
% 0.24/0.32 inference(ennf_transformation,[],[f2])).
% 0.24/0.32 tff(f15,plain,(
% 0.24/0.32 ( ! [X0 : $rat] : (~$less(X0,9/16)) )),
% 0.24/0.32 inference(cnf_transformation,[],[f14])).
% 0.24/0.32 tff(f22,plain,(
% 0.24/0.32 ( ! [X0 : $rat] : ($less(X0,$sum(X0,1/1))) )),
% 0.24/0.32 inference(resolution,[],[f12,f8])).
% 0.24/0.32 tff(f25,plain,(
% 0.24/0.32 ( ! [X0 : $rat] : ($less(X0,$sum(1/1,X0))) )),
% 0.24/0.32 inference(superposition,[],[f22,f3])).
% 0.24/0.32 tff(f69,plain,(
% 0.24/0.32 ( ! [X0 : $rat,X1 : $rat] : ($sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.24/0.32 inference(superposition,[],[f4,f7])).
% 0.24/0.32 tff(f86,plain,(
% 0.24/0.32 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.24/0.32 inference(evaluation,[],[f69])).
% 0.24/0.32 tff(f111,plain,(
% 0.24/0.32 ( ! [X0 : $rat] : ($less($sum($uminus(1/1),X0),X0)) )),
% 0.24/0.32 inference(superposition,[],[f25,f86])).
% 0.24/0.32 tff(f113,plain,(
% 0.24/0.32 ( ! [X0 : $rat] : ($less($sum(-1/1,X0),X0)) )),
% 0.24/0.32 inference(evaluation,[],[f111])).
% 0.24/0.32 tff(f116,plain,(
% 0.24/0.32 $false),
% 0.24/0.32 inference(resolution,[],[f113,f15])).
% 0.24/0.32 % SZS output end Proof for theBenchmark
% 0.24/0.32 % (727570)------------------------------
% 0.24/0.32 % (727570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (727570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (727570)CaDiCaL version: 2.1.3
% 0.24/0.32 % (727570)Termination reason: Refutation
% 0.24/0.32 % (727570)Time elapsed: 0.004 s
% 0.24/0.32 % (727570)Peak memory usage: 12 MB
% 0.24/0.32 % (727570)Instructions burned: 5 (million)
% 0.24/0.32 % (727562)Success in time 0.027 s
% 0.24/0.32 % Vampire exiting
%------------------------------------------------------------------------------