%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU746_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:54:35 PM UTC 2026
% Result : Theorem 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU746_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 05:54:32 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.13/0.46 % (529634)Will run a generic schedule for satisfiability detection.
% 0.13/0.46 % (529646)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2558854504:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.46 % (529646) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-529634-529646"...
% 0.13/0.46 % (529646)...printing done.
% 0.13/0.46 % (529646)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Theorem for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% 0.13/0.46 fof(f1,axiom,(
% 0.13/0.46 (binunionE = ! [X0,X1,X2] : (in(X2,binunion(X0,X1)) => (in(X2,X0) | in(X2,X1))))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionE)).
% 0.13/0.46 fof(f2,conjecture,(
% 0.13/0.46 binunionE => ! [X0,X1] : (in(X1,powerset(X0)) => ! [X2] : (in(X2,powerset(X0)) => ! [X3 : $o,X4] : (in(X4,X0) => (in(X4,binunion(X1,X2)) => ((in(X4,X1) => X3) => ((in(X4,X2) => X3) => X3))))))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionTE)).
% 0.13/0.46 fof(f3,negated_conjecture,(
% 0.13/0.46 ~(binunionE => ! [X0,X1] : (in(X1,powerset(X0)) => ! [X2] : (in(X2,powerset(X0)) => ! [X3 : $o,X4] : (in(X4,X0) => (in(X4,binunion(X1,X2)) => ((in(X4,X1) => X3) => ((in(X4,X2) => X3) => X3)))))))),
% 0.13/0.46 inference(negated_conjecture,[status(cth)],[f2])).
% 0.13/0.46 fof(f4,plain,(
% 0.13/0.46 binunionE <=> ! [X0,X1,X2] : (in(X2,binunion(X0,X1)) => (in(X2,X0) | in(X2,X1)))),
% 0.13/0.46 inference(flattening,[],[f1])).
% 0.13/0.46 fof(f5,plain,(
% 0.13/0.46 ~(binunionE => ! [X0,X1] : (in(X1,powerset(X0)) => ! [X2] : (in(X2,powerset(X0)) => ! [X3 : $o,X4] : (in(X4,X0) => (in(X4,binunion(X1,X2)) => ((in(X4,X1) => X3) => ((in(X4,X2) => X3) => X3)))))))),
% 0.13/0.46 inference(rectify,[],[f3])).
% 0.13/0.46 fof(f6,plain,(
% 0.13/0.46 binunionE => ! [X0,X1,X2] : (in(X2,binunion(X0,X1)) => (in(X2,X0) | in(X2,X1)))),
% 0.13/0.46 inference(unused_predicate_definition_removal,[],[f4])).
% 0.13/0.46 fof(f7,plain,(
% 0.13/0.46 ! [X0,X1,X2] : ((in(X2,X0) | in(X2,X1)) | ~in(X2,binunion(X0,X1))) | ~binunionE),
% 0.13/0.46 inference(ennf_transformation,[],[f6])).
% 0.13/0.46 fof(f8,plain,(
% 0.13/0.46 ! [X0,X1,X2] : (in(X2,X0) | in(X2,X1) | ~in(X2,binunion(X0,X1))) | ~binunionE),
% 0.13/0.46 inference(flattening,[],[f7])).
% 0.13/0.46 fof(f9,plain,(
% 0.13/0.46 ? [X0,X1] : (? [X2] : (? [X3 : $o,X4] : ((((~X3 & (X3 | ~in(X4,X2))) & (X3 | ~in(X4,X1))) & in(X4,binunion(X1,X2))) & in(X4,X0)) & in(X2,powerset(X0))) & in(X1,powerset(X0))) & binunionE),
% 0.13/0.46 inference(ennf_transformation,[],[f5])).
% 0.13/0.46 fof(f10,plain,(
% 0.13/0.46 ? [X0,X1] : (? [X2] : (? [X3 : $o,X4] : (~X3 & (X3 | ~in(X4,X2)) & (X3 | ~in(X4,X1)) & in(X4,binunion(X1,X2)) & in(X4,X0)) & in(X2,powerset(X0))) & in(X1,powerset(X0))) & binunionE),
% 0.13/0.46 inference(flattening,[],[f9])).
% 0.13/0.46 fof(f11,plain,(
% 0.13/0.46 ( ! [X2,X0,X1] : (~binunionE | ~in(X2,binunion(X0,X1)) | in(X2,X1) | in(X2,X0)) )),
% 0.13/0.46 inference(cnf_transformation,[],[f8])).
% 0.13/0.46 fof(f12,plain,(
% 0.13/0.46 sK3 | ~in(sK4,sK2)),
% 0.13/0.46 inference(cnf_transformation,[],[f10])).
% 0.13/0.46 fof(f13,plain,(
% 0.13/0.46 sK3 | ~in(sK4,sK1)),
% 0.13/0.46 inference(cnf_transformation,[],[f10])).
% 0.13/0.46 fof(f14,plain,(
% 0.13/0.46 ~sK3),
% 0.13/0.46 inference(cnf_transformation,[],[f10])).
% 0.13/0.46 fof(f16,plain,(
% 0.13/0.46 in(sK4,binunion(sK1,sK2))),
% 0.13/0.46 inference(cnf_transformation,[],[f10])).
% 0.13/0.46 fof(f19,plain,(
% 0.13/0.46 binunionE),
% 0.13/0.46 inference(cnf_transformation,[],[f10])).
% 0.13/0.46 fof(f21,definition,(
% 0.13/0.46 spl5_1 <=> in(sK4,sK2)),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition])).
% 0.13/0.46 fof(f23,plain,(
% 0.13/0.46 ~in(sK4,sK2) | spl5_1),
% 0.13/0.46 inference(avatar_component_clause,[],[f21])).
% 0.13/0.46 fof(f25,definition,(
% 0.13/0.46 spl5_2 <=> sK3),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition])).
% 0.13/0.46 fof(f28,plain,(
% 0.13/0.46 ~spl5_1 | spl5_2),
% 0.13/0.46 inference(avatar_split_clause,[],[f12,f25,f21])).
% 0.13/0.46 fof(f30,definition,(
% 0.13/0.46 spl5_3 <=> in(sK4,sK1)),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition])).
% 0.13/0.46 fof(f32,plain,(
% 0.13/0.46 ~in(sK4,sK1) | spl5_3),
% 0.13/0.46 inference(avatar_component_clause,[],[f30])).
% 0.13/0.46 fof(f33,plain,(
% 0.13/0.46 ~spl5_3 | spl5_2),
% 0.13/0.46 inference(avatar_split_clause,[],[f13,f25,f30])).
% 0.13/0.46 fof(f34,plain,(
% 0.13/0.46 ~spl5_2),
% 0.13/0.46 inference(avatar_split_clause,[],[f14,f25])).
% 0.13/0.46 fof(f35,plain,(
% 0.13/0.46 ( ! [X2,X0,X1] : (~in(X2,binunion(X0,X1)) | in(X2,X1) | in(X2,X0)) )),
% 0.13/0.46 inference(forward_subsumption_resolution,[],[f11,f19])).
% 0.13/0.46 fof(f36,plain,(
% 0.13/0.46 in(sK4,sK2) | in(sK4,sK1)),
% 0.13/0.46 inference(resolution,[],[f35,f16])).
% 0.13/0.46 fof(f37,plain,(
% 0.13/0.46 in(sK4,sK1) | spl5_1),
% 0.13/0.46 inference(forward_subsumption_resolution,[],[f36,f23])).
% 0.13/0.46 fof(f38,plain,(
% 0.13/0.46 $false | (spl5_1 | spl5_3)),
% 0.13/0.46 inference(forward_subsumption_resolution,[],[f37,f32])).
% 0.13/0.46 fof(f39,plain,(
% 0.13/0.46 spl5_1 | spl5_3),
% 0.13/0.46 inference(avatar_contradiction_clause,[],[f38])).
% 0.13/0.46 cnf(s1, plain, ~spl5_1 | spl5_2, inference(sat_conversion,[],[f28])).
% 0.13/0.46 cnf(s2, plain, spl5_2 | ~spl5_3, inference(sat_conversion,[],[f33])).
% 0.13/0.46 cnf(s3, plain, ~spl5_2, inference(sat_conversion,[],[f34])).
% 0.13/0.46 cnf(s4, plain, spl5_1 | spl5_3, inference(sat_conversion,[],[f39])).
% 0.13/0.46 cnf(s5, plain, ~spl5_3, inference(rat,[],[s2,s3])).
% 0.13/0.46 cnf(s6, plain, spl5_1, inference(rat,[],[s4,s5])).
% 0.13/0.46 cnf(s7, plain, $false, inference(rat,[],[s1,s3,s6])).
% 0.13/0.46 fof(f40,plain,(
% 0.13/0.46 $false),
% 0.13/0.46 inference(avatar_sat_refutation,[],[s7])).
% 0.13/0.46 % SZS output end Proof for theBenchmark
% 0.13/0.46 % (529646)------------------------------
% 0.13/0.46 % (529646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46 % (529646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46 % (529646)CaDiCaL version: 2.1.3
% 0.13/0.46 % (529646)Termination reason: Refutation
% 0.13/0.46 % (529646)Time elapsed: 0.001 s
% 0.13/0.46 % (529646)Peak memory usage: 12 MB
% 0.13/0.46 % (529646)Instructions burned: 1 (million)
% 0.13/0.46 % (529634)Success in time 0.027 s
% 0.13/0.46 % Vampire exiting
%------------------------------------------------------------------------------