%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI201_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 : n017.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 09:34:11 AM UTC 2026
% Result : Theorem 0.26s 0.33s
% Output : Refutation 0.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI201_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 : n017.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 20:39:51 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.29 Running first-order model finding
% 0.26/0.29 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
% 0.26/0.33 % (3992090)Will run a generic schedule for satisfiability detection.
% 0.26/0.33 % (3992096)% WARNING: option uhcvi not known.
% 0.26/0.33 % (3992096)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3758703128:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.33 % (3992095)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=296779548_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.33 % (3992095)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.26/0.33 % (3992095)Terminated due to inappropriate strategy.
% 0.26/0.33 % (3992095)------------------------------
% 0.26/0.33 % (3992095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.33 % (3992095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.33 % (3992095)CaDiCaL version: 2.1.3
% 0.26/0.33 % (3992095)Termination reason: Inappropriate
% 0.26/0.33 % (3992095)Time elapsed: 0.0000 s
% 0.26/0.33 % (3992095)Peak memory usage: 10 MB
% 0.26/0.33 % (3992095)------------------------------
% 0.26/0.33 % (3992095)------------------------------
% 0.26/0.33 % (3992096) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3992090-3992096"...
% 0.26/0.33 % (3992096)...printing done.
% 0.26/0.33 % (3992096)Refutation found. Thanks to Tanya!
% 0.26/0.33 % SZS status Theorem for theBenchmark
% 0.26/0.33 % SZS output start Proof for theBenchmark
% 0.26/0.33 tff(f1,conjecture,(
% 0.26/0.33 ? [X0 : $rat] : $less(X0,-13/4)),
% 0.26/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_less_problem_12)).
% 0.26/0.33 tff(f2,negated_conjecture,(
% 0.26/0.33 ~ ? [X0 : $rat] : $less(X0,-13/4)),
% 0.26/0.33 inference(negated_conjecture,[status(cth)],[f1])).
% 0.26/0.33 tff(f3,definition,(
% 0.26/0.33 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.26/0.33 introduced(theory,[tha_commutativity])).
% 0.26/0.33 tff(f4,definition,(
% 0.26/0.33 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.26/0.33 introduced(theory,[tha_associativity])).
% 0.26/0.33 tff(f7,definition,(
% 0.26/0.33 ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.26/0.33 introduced(theory,[tha_inverse_op_unit])).
% 0.26/0.33 tff(f8,definition,(
% 0.26/0.33 ( ! [X0 : $rat] : (~$less(X0,X0)) )),
% 0.26/0.33 introduced(theory,[tha_non-reflexivity])).
% 0.26/0.33 tff(f12,definition,(
% 0.26/0.33 ( ! [X0 : $rat,X1 : $rat] : ($less(X1,$sum(X0,1/1)) | $less(X0,X1)) )),
% 0.26/0.33 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.26/0.33 tff(f14,plain,(
% 0.26/0.33 ! [X0 : $rat] : ~$less(X0,-13/4)),
% 0.26/0.33 inference(ennf_transformation,[],[f2])).
% 0.26/0.33 tff(f15,plain,(
% 0.26/0.33 ( ! [X0 : $rat] : (~$less(X0,-13/4)) )),
% 0.26/0.33 inference(cnf_transformation,[],[f14])).
% 0.26/0.33 tff(f28,plain,(
% 0.26/0.33 ( ! [X0 : $rat] : ($less(X0,$sum(X0,1/1))) )),
% 0.26/0.33 inference(resolution,[],[f12,f8])).
% 0.26/0.33 tff(f33,plain,(
% 0.26/0.33 ( ! [X0 : $rat] : ($less(X0,$sum(1/1,X0))) )),
% 0.26/0.33 inference(superposition,[],[f28,f3])).
% 0.26/0.33 tff(f84,plain,(
% 0.26/0.33 ( ! [X0 : $rat,X1 : $rat] : ($sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.26/0.33 inference(superposition,[],[f4,f7])).
% 0.26/0.33 tff(f103,plain,(
% 0.26/0.33 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.26/0.33 inference(evaluation,[],[f84])).
% 0.26/0.33 tff(f132,plain,(
% 0.26/0.33 ( ! [X0 : $rat] : ($less($sum($uminus(1/1),X0),X0)) )),
% 0.26/0.33 inference(superposition,[],[f33,f103])).
% 0.26/0.33 tff(f134,plain,(
% 0.26/0.33 ( ! [X0 : $rat] : ($less($sum(-1/1,X0),X0)) )),
% 0.26/0.33 inference(evaluation,[],[f132])).
% 0.26/0.33 tff(f147,plain,(
% 0.26/0.33 $false),
% 0.26/0.33 inference(resolution,[],[f134,f15])).
% 0.26/0.33 % SZS output end Proof for theBenchmark
% 0.26/0.33 % (3992096)------------------------------
% 0.26/0.33 % (3992096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.33 % (3992096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.33 % (3992096)CaDiCaL version: 2.1.3
% 0.26/0.33 % (3992096)Termination reason: Refutation
% 0.26/0.33 % (3992096)Time elapsed: 0.005 s
% 0.26/0.33 % (3992096)Peak memory usage: 12 MB
% 0.26/0.33 % (3992096)Instructions burned: 6 (million)
% 0.26/0.33 % (3992090)Success in time 0.028 s
% 0.26/0.33 % Vampire exiting
%------------------------------------------------------------------------------