%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI590_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 09:34:55 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI590_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % 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 20:58:49 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (734193)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (734201)dis+10_1_sil=32000:sp=arity:random_seed=3744742699:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (734201) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-734193-734201"...
% 0.08/0.26 % (734199)% WARNING: option uhcvi not known.
% 0.08/0.26 % (734201)...printing done.
% 0.08/0.26 % (734201)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% 0.08/0.26 tff(func_def_4, type, sK0: $int).
% 0.08/0.26 tff(f1,conjecture,(
% 0.08/0.26 ! [X0 : $int] : ? [X1 : $int] : ($less(0,X1) & X0 != X1)),
% 0.08/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_pos_X_noteq_Y)).
% 0.08/0.26 tff(f2,negated_conjecture,(
% 0.08/0.26 ~ ! [X0 : $int] : ? [X1 : $int] : ($less(0,X1) & X0 != X1)),
% 0.08/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.26 tff(f3,definition,(
% 0.08/0.26 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.08/0.26 introduced(theory,[tha_commutativity])).
% 0.08/0.26 tff(f8,definition,(
% 0.08/0.26 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.08/0.26 introduced(theory,[tha_non-reflexivity])).
% 0.08/0.26 tff(f9,definition,(
% 0.08/0.26 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 0.08/0.26 introduced(theory,[tha_transitivity])).
% 0.08/0.26 tff(f12,definition,(
% 0.08/0.26 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.08/0.26 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.08/0.26 tff(f15,plain,(
% 0.08/0.26 ? [X0 : $int] : ! [X1 : $int] : (~$less(0,X1) | X0 = X1)),
% 0.08/0.26 inference(ennf_transformation,[],[f2])).
% 0.08/0.26 tff(f16,plain,(
% 0.08/0.26 ! [X1 : $int] : (~$less(0,X1) | sK0 = X1)),
% 0.08/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15])).
% 0.08/0.26 tff(f17,plain,(
% 0.08/0.26 ( ! [X1 : $int] : (~$less(0,X1) | sK0 = X1) )),
% 0.08/0.26 inference(cnf_transformation,[],[f16])).
% 0.08/0.26 tff(f24,plain,(
% 0.08/0.26 ( ! [X0 : $int] : ($less(X0,0) | $sum(X0,1) = sK0) )),
% 0.08/0.26 inference(resolution,[],[f12,f17])).
% 0.08/0.26 tff(f25,plain,(
% 0.08/0.26 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.08/0.26 inference(resolution,[],[f12,f8])).
% 0.08/0.26 tff(f29,plain,(
% 0.08/0.26 sK0 = $sum(0,1)),
% 0.08/0.26 inference(resolution,[],[f24,f8])).
% 0.08/0.26 tff(f30,plain,(
% 0.08/0.26 1 = sK0),
% 0.08/0.26 inference(evaluation,[],[f29])).
% 0.08/0.26 tff(f37,definition,(
% 0.08/0.26 spl1_2 <=> 1 = sK0),
% 0.08/0.26 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 0.08/0.26 tff(f39,plain,(
% 0.08/0.26 1 = sK0 | ~spl1_2),
% 0.08/0.26 inference(avatar_component_clause,[],[f37])).
% 0.08/0.26 tff(f44,plain,(
% 0.08/0.26 spl1_2),
% 0.08/0.26 inference(avatar_split_clause,[],[f30,f37])).
% 0.08/0.26 tff(f46,plain,(
% 0.08/0.26 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(X0,0) | sK0 = $sum(X1,1)) )),
% 0.08/0.26 inference(resolution,[],[f9,f24])).
% 0.08/0.26 tff(f86,plain,(
% 0.08/0.26 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | 1 = $sum(X1,1) | $less(X0,0)) ) | ~spl1_2),
% 0.08/0.26 inference(forward_demodulation,[],[f46,f39])).
% 0.08/0.26 tff(f118,plain,(
% 0.08/0.26 ( ! [X0 : $int] : (1 = $sum($sum(X0,1),1) | $less(X0,0)) ) | ~spl1_2),
% 0.08/0.26 inference(resolution,[],[f25,f86])).
% 0.08/0.26 tff(f124,plain,(
% 0.08/0.26 ( ! [X0 : $int] : ($less(X0,0) | 1 = $sum(1,$sum(X0,1))) ) | ~spl1_2),
% 0.08/0.26 inference(forward_demodulation,[],[f118,f3])).
% 0.08/0.26 tff(f126,plain,(
% 0.08/0.26 1 = $sum(1,$sum(0,1)) | ~spl1_2),
% 0.08/0.26 inference(resolution,[],[f124,f8])).
% 0.08/0.26 tff(f129,plain,(
% 0.08/0.26 $false | ~spl1_2),
% 0.08/0.26 inference(evaluation,[],[f126])).
% 0.08/0.26 tff(f130,plain,(
% 0.08/0.26 ~spl1_2),
% 0.08/0.26 inference(avatar_contradiction_clause,[],[f129])).
% 0.08/0.26 cnf(s2, plain, spl1_2, inference(sat_conversion,[],[f44])).
% 0.08/0.26 cnf(s3, plain, ~spl1_2, inference(sat_conversion,[],[f130])).
% 0.08/0.26 cnf(s5, plain, $false, inference(rat,[],[s2,s3])).
% 0.08/0.26 tff(f133,plain,(
% 0.08/0.26 $false),
% 0.08/0.26 inference(avatar_sat_refutation,[],[s5])).
% 0.08/0.26 % SZS output end Proof for theBenchmark
% 0.08/0.26 % (734201)------------------------------
% 0.08/0.26 % (734201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (734201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (734201)CaDiCaL version: 2.1.3
% 0.08/0.26 % (734201)Termination reason: Refutation
% 0.08/0.26 % (734201)Time elapsed: 0.003 s
% 0.08/0.26 % (734201)Peak memory usage: 12 MB
% 0.08/0.26 % (734201)Instructions burned: 5 (million)
% 0.08/0.26 % (734193)Success in time 0.026 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------