%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI065_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 : n019.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 09:33:58 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI065_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:42:18 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.20/0.29 % (208416)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (208437)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2134942542:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (208433)% WARNING: option uhcvi not known.
% 0.20/0.29 % (208437) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-208416-208437"...
% 0.20/0.29 % (208437)...printing done.
% 0.20/0.29 % (208437)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% 0.20/0.29 tff(func_def_7, type, sK0: $int).
% 0.20/0.29 tff(f1,conjecture,(
% 0.20/0.29 ! [X0 : $int] : ($sum(2,X0) = 5 => X0 = 3)),
% 0.20/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum2_only_3_5)).
% 0.20/0.29 tff(f2,negated_conjecture,(
% 0.20/0.29 ~ ! [X0 : $int] : ($sum(2,X0) = 5 => X0 = 3)),
% 0.20/0.29 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.29 tff(f3,definition,(
% 0.20/0.29 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.20/0.29 introduced(theory,[tha_commutativity])).
% 0.20/0.29 tff(f4,definition,(
% 0.20/0.29 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.20/0.29 introduced(theory,[tha_associativity])).
% 0.20/0.29 tff(f7,definition,(
% 0.20/0.29 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.20/0.29 introduced(theory,[tha_inverse_op_unit])).
% 0.20/0.29 tff(f15,plain,(
% 0.20/0.29 ? [X0 : $int] : (3 != X0 & $sum(2,X0) = 5)),
% 0.20/0.29 inference(ennf_transformation,[],[f2])).
% 0.20/0.29 tff(f16,plain,(
% 0.20/0.29 3 != sK0 & 5 = $sum(2,sK0)),
% 0.20/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15])).
% 0.20/0.29 tff(f17,plain,(
% 0.20/0.29 5 = $sum(2,sK0)),
% 0.20/0.29 inference(cnf_transformation,[],[f16])).
% 0.20/0.29 tff(f18,plain,(
% 0.20/0.29 3 != sK0),
% 0.20/0.29 inference(cnf_transformation,[],[f16])).
% 0.20/0.29 tff(f107,plain,(
% 0.20/0.29 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.20/0.29 inference(superposition,[],[f4,f7])).
% 0.20/0.29 tff(f110,plain,(
% 0.20/0.29 ( ! [X0 : $int] : ($sum(2,$sum(sK0,X0)) = $sum(5,X0)) )),
% 0.20/0.29 inference(superposition,[],[f4,f17])).
% 0.20/0.29 tff(f125,plain,(
% 0.20/0.29 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.20/0.29 inference(evaluation,[],[f107])).
% 0.20/0.29 tff(f136,plain,(
% 0.20/0.29 ( ! [X0 : $int] : ($sum(5,X0) = $sum(2,$sum(X0,sK0))) )),
% 0.20/0.29 inference(superposition,[],[f110,f3])).
% 0.20/0.29 tff(f258,plain,(
% 0.20/0.29 sK0 = $sum(5,$uminus(2))),
% 0.20/0.29 inference(superposition,[],[f125,f136])).
% 0.20/0.29 tff(f264,plain,(
% 0.20/0.29 3 = sK0),
% 0.20/0.29 inference(evaluation,[],[f258])).
% 0.20/0.29 tff(f271,plain,(
% 0.20/0.29 $false),
% 0.20/0.29 inference(forward_subsumption_resolution,[],[f264,f18])).
% 0.20/0.29 % SZS output end Proof for theBenchmark
% 0.20/0.29 % (208437)------------------------------
% 0.20/0.29 % (208437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (208437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (208437)CaDiCaL version: 2.1.3
% 0.20/0.29 % (208437)Termination reason: Refutation
% 0.20/0.29 % (208437)Time elapsed: 0.004 s
% 0.20/0.29 % (208437)Peak memory usage: 12 MB
% 0.20/0.29 % (208437)Instructions burned: 10 (million)
% 0.20/0.29 % (208416)Success in time 0.044 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------