%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI280_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 09:34:21 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI280_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 20:43:56 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.25 % (2792871)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (2792887)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1299875580:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.07/0.25 % (2792883)% WARNING: option uhcvi not known.
% 0.07/0.25 % (2792887) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2792871-2792887"...
% 0.07/0.25 % (2792887)...printing done.
% 0.07/0.25 % (2792887)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% 0.07/0.25 tff(func_def_8, type, sK0: $rat).
% 0.07/0.25 tff(f1,conjecture,(
% 0.07/0.25 ! [X0 : $rat] : ($difference(5/2,X0) = 15/8 => X0 = 5/8)),
% 0.07/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_8)).
% 0.07/0.25 tff(f2,negated_conjecture,(
% 0.07/0.25 ~ ! [X0 : $rat] : ($difference(5/2,X0) = 15/8 => X0 = 5/8)),
% 0.07/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/0.25 tff(f3,plain,(
% 0.07/0.25 ~ ! [X0 : $rat] : (15/8 = $sum(5/2,$uminus(X0)) => X0 = 5/8)),
% 0.07/0.25 inference(theory_normalization,[],[f2])).
% 0.07/0.25 tff(f4,definition,(
% 0.07/0.25 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.07/0.25 introduced(theory,[tha_commutativity])).
% 0.07/0.25 tff(f5,definition,(
% 0.07/0.25 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.07/0.25 introduced(theory,[tha_associativity])).
% 0.07/0.25 tff(f7,definition,(
% 0.07/0.25 ( ! [X0 : $rat,X1 : $rat] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 0.07/0.25 introduced(theory,[tha_inverse_op_op_inverses])).
% 0.07/0.25 tff(f8,definition,(
% 0.07/0.25 ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.07/0.25 introduced(theory,[tha_inverse_op_unit])).
% 0.07/0.25 tff(f15,plain,(
% 0.07/0.25 ? [X0 : $rat] : (5/8 != X0 & 15/8 = $sum(5/2,$uminus(X0)))),
% 0.07/0.25 inference(ennf_transformation,[],[f3])).
% 0.07/0.25 tff(f16,plain,(
% 0.07/0.25 5/8 != sK0 & 15/8 = $sum(5/2,$uminus(sK0))),
% 0.07/0.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15])).
% 0.07/0.25 tff(f17,plain,(
% 0.07/0.25 15/8 = $sum(5/2,$uminus(sK0))),
% 0.07/0.25 inference(cnf_transformation,[],[f16])).
% 0.07/0.25 tff(f18,plain,(
% 0.07/0.25 5/8 != sK0),
% 0.07/0.25 inference(cnf_transformation,[],[f16])).
% 0.07/0.25 tff(f49,plain,(
% 0.07/0.25 $sum($uminus($uminus(sK0)),$uminus(5/2)) = $uminus(15/8)),
% 0.07/0.25 inference(superposition,[],[f7,f17])).
% 0.07/0.25 tff(f57,plain,(
% 0.07/0.25 $sum(sK0,-5/2) = -15/8),
% 0.07/0.25 inference(evaluation,[],[f49])).
% 0.07/0.25 tff(f60,plain,(
% 0.07/0.25 -15/8 = $sum(-5/2,sK0)),
% 0.07/0.25 inference(forward_demodulation,[],[f57,f4])).
% 0.07/0.25 tff(f83,plain,(
% 0.07/0.25 ( ! [X0 : $rat,X1 : $rat] : ($sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.07/0.25 inference(superposition,[],[f5,f8])).
% 0.07/0.25 tff(f88,plain,(
% 0.07/0.25 ( ! [X0 : $rat] : ($sum(-5/2,$sum(sK0,X0)) = $sum(-15/8,X0)) )),
% 0.07/0.25 inference(superposition,[],[f5,f60])).
% 0.07/0.25 tff(f100,plain,(
% 0.07/0.25 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.07/0.25 inference(evaluation,[],[f83])).
% 0.07/0.25 tff(f111,plain,(
% 0.07/0.25 ( ! [X0 : $rat] : ($sum(-15/8,X0) = $sum(-5/2,$sum(X0,sK0))) )),
% 0.07/0.25 inference(superposition,[],[f88,f4])).
% 0.07/0.25 tff(f244,plain,(
% 0.07/0.25 sK0 = $sum(-15/8,$uminus(-5/2))),
% 0.07/0.25 inference(superposition,[],[f100,f111])).
% 0.07/0.25 tff(f250,plain,(
% 0.07/0.25 5/8 = sK0),
% 0.07/0.25 inference(evaluation,[],[f244])).
% 0.07/0.25 tff(f257,plain,(
% 0.07/0.25 $false),
% 0.07/0.25 inference(forward_subsumption_resolution,[],[f250,f18])).
% 0.07/0.25 % SZS output end Proof for theBenchmark
% 0.07/0.25 % (2792887)------------------------------
% 0.07/0.25 % (2792887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (2792887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (2792887)CaDiCaL version: 2.1.3
% 0.07/0.25 % (2792887)Termination reason: Refutation
% 0.07/0.25 % (2792887)Time elapsed: 0.004 s
% 0.07/0.25 % (2792887)Peak memory usage: 12 MB
% 0.07/0.25 % (2792887)Instructions burned: 10 (million)
% 0.07/0.25 % (2792871)Success in time 0.02 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------