%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI075_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 : n006.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 09:33:59 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI075_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n006.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 20:41:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.26 % (156723)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (156744)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1222716948:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (156744) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-156723-156744"...
% 0.09/0.26 % (156741)% WARNING: option uhcvi not known.
% 0.09/0.26 % (156744)...printing done.
% 0.09/0.26 % (156744)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% 0.09/0.26 tff(f1,conjecture,(
% 0.09/0.26 ? [X0 : $int] : $sum(X0,-5) = -3),
% 0.09/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_n5_n3)).
% 0.09/0.26 tff(f2,negated_conjecture,(
% 0.09/0.26 ~ ? [X0 : $int] : $sum(X0,-5) = -3),
% 0.09/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.26 tff(f3,definition,(
% 0.09/0.26 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.09/0.26 introduced(theory,[tha_commutativity])).
% 0.09/0.26 tff(f4,definition,(
% 0.09/0.26 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.09/0.26 introduced(theory,[tha_associativity])).
% 0.09/0.26 tff(f7,definition,(
% 0.09/0.26 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.09/0.26 introduced(theory,[tha_inverse_op_unit])).
% 0.09/0.26 tff(f15,plain,(
% 0.09/0.26 ! [X0 : $int] : $sum(X0,-5) != -3),
% 0.09/0.26 inference(ennf_transformation,[],[f2])).
% 0.09/0.26 tff(f16,plain,(
% 0.09/0.26 ( ! [X0 : $int] : ($sum(X0,-5) != -3) )),
% 0.09/0.26 inference(cnf_transformation,[],[f15])).
% 0.09/0.26 tff(f143,plain,(
% 0.09/0.26 ( ! [X0 : $int,X1 : $int] : (-3 != $sum(X0,$sum(X1,-5))) )),
% 0.09/0.26 inference(superposition,[],[f16,f4])).
% 0.09/0.26 tff(f153,plain,(
% 0.09/0.26 ( ! [X0 : $int,X1 : $int] : (-3 != $sum(X1,$sum(-5,X0))) )),
% 0.09/0.26 inference(superposition,[],[f143,f3])).
% 0.09/0.26 tff(f174,plain,(
% 0.09/0.26 ( ! [X0 : $int] : (-3 != $sum(X0,0)) )),
% 0.09/0.26 inference(superposition,[],[f153,f7])).
% 0.09/0.26 tff(f180,plain,(
% 0.09/0.26 ( ! [X0 : $int] : (-3 != X0) )),
% 0.09/0.26 inference(evaluation,[],[f174])).
% 0.09/0.26 tff(f206,plain,(
% 0.09/0.26 $false),
% 0.09/0.26 inference(equality_resolution,[],[f180])).
% 0.09/0.26 % SZS output end Proof for theBenchmark
% 0.09/0.26 % (156744)------------------------------
% 0.09/0.26 % (156744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (156744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (156744)CaDiCaL version: 2.1.3
% 0.09/0.26 % (156744)Termination reason: Refutation
% 0.09/0.26 % (156744)Time elapsed: 0.003 s
% 0.09/0.26 % (156744)Peak memory usage: 12 MB
% 0.09/0.26 % (156744)Instructions burned: 8 (million)
% 0.09/0.26 % (156723)Success in time 0.031 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------