%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO021^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 : Wed Sep 30 08:46:18 AM UTC 2026
% Result : Theorem 0.23s 0.29s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO021^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:22:44 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.29 % (2319692)Detected formulas, will run a generic FOF schedule.
% 0.23/0.29 % (2319712)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=651693775:i=132:kws=arity:er=filter_2999 on theBenchmark for (2999ds/132Mi)
% 0.23/0.29 % (2319712) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2319692-2319712"...
% 0.23/0.29 % (2319712)...printing done.
% 0.23/0.29 % (2319712)Refutation found. Thanks to Tanya!
% 0.23/0.29 % SZS status Theorem for theBenchmark
% 0.23/0.29 % SZS output start Proof for theBenchmark
% 0.23/0.29 fof(f1,conjecture,(
% 0.23/0.29 ! [X0 : $o,X1 : $o] : (X1 & X0 = ~(~X1 | ~X0))),
% 0.23/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.23/0.29 fof(f2,negated_conjecture,(
% 0.23/0.29 ~ ! [X0 : $o,X1 : $o] : (X1 & X0 = ~(~X1 | ~X0))),
% 0.23/0.29 inference(negated_conjecture,[status(cth)],[f1])).
% 0.23/0.29 fof(f3,plain,(
% 0.23/0.29 ~ ! [X0 : $o,X1 : $o] : (X1 & X0 = ~(~X1 | ~X0))),
% 0.23/0.29 inference(rectify,[],[f2])).
% 0.23/0.29 fof(f4,plain,(
% 0.23/0.29 ~ ! [X0 : $o,X1 : $o] : ((X1 & X0) <=> ~(~X1 | ~X0))),
% 0.23/0.29 inference(flattening,[],[f3])).
% 0.23/0.29 fof(f5,plain,(
% 0.23/0.29 ? [X0 : $o,X1 : $o] : ((X1 & X0) <~> (X1 & X0))),
% 0.23/0.29 inference(ennf_transformation,[],[f4])).
% 0.23/0.29 fof(f7,plain,(
% 0.23/0.29 sK1),
% 0.23/0.29 inference(cnf_transformation,[],[f5])).
% 0.23/0.29 fof(f8,plain,(
% 0.23/0.29 ~sK0 | ~sK1),
% 0.23/0.29 inference(cnf_transformation,[],[f5])).
% 0.23/0.29 fof(f9,plain,(
% 0.23/0.29 sK0),
% 0.23/0.29 inference(cnf_transformation,[],[f5])).
% 0.23/0.29 fof(f12,plain,(
% 0.23/0.29 ~sK0),
% 0.23/0.29 inference(consistent_polarity_flipping,[],[f9])).
% 0.23/0.29 fof(f13,plain,(
% 0.23/0.29 sK0 | ~sK1),
% 0.23/0.29 inference(consistent_polarity_flipping,[],[f8])).
% 0.23/0.29 fof(f15,plain,(
% 0.23/0.29 sK0),
% 0.23/0.29 inference(forward_subsumption_resolution,[],[f13,f7])).
% 0.23/0.29 fof(f16,plain,(
% 0.23/0.29 $false),
% 0.23/0.29 inference(forward_subsumption_resolution,[],[f15,f12])).
% 0.23/0.29 % SZS output end Proof for theBenchmark
% 0.23/0.29 % (2319712)------------------------------
% 0.23/0.29 % (2319712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.29 % (2319712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.29 % (2319712)CaDiCaL version: 2.1.3
% 0.23/0.29 % (2319712)Termination reason: Refutation
% 0.23/0.29 % (2319712)Time elapsed: 0.001 s
% 0.23/0.29 % (2319712)Peak memory usage: 11 MB
% 0.23/0.29 % (2319692)Success in time 0.036 s
% 0.23/0.29 % Vampire exiting
%------------------------------------------------------------------------------