%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU614_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 : n001.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 12:54:00 PM UTC 2026
% Result : Theorem 0.15s 0.43s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU614_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 05:51:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 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
% 0.15/0.43 % (80776)Will run a generic schedule for satisfiability detection.
% 0.15/0.43 % (80783)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2263286346:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.15/0.43 % (80783) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-80776-80783"...
% 0.15/0.43 % (80783)...printing done.
% 0.15/0.43 % (80783)Refutation found. Thanks to Tanya!
% 0.15/0.43 % SZS status Theorem for theBenchmark
% 0.15/0.43 % SZS output start Proof for theBenchmark
% 0.15/0.43 tff(pred_def_3, type, sP0: ($o * $i * $i * $i) > $o).
% 0.15/0.43 tff(f1,axiom,(
% 0.15/0.43 (symdiffE = ! [X0 : $i,X1 : $i,X2 : $i] : (in(X2,symdiff(X0,X1)) => ! [X3 : $o] : ((in(X2,X0) => (~in(X2,X1) => X3)) => ((~in(X2,X0) => (in(X2,X1) => X3)) => X3))))),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',symdiffE)).
% 0.15/0.43 tff(f2,conjecture,(
% 0.15/0.43 symdiffE => ! [X0 : $i,X1 : $i,X2 : $i] : (in(X2,X0) => (in(X2,X1) => ~in(X2,symdiff(X0,X1))))),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',symdiffIneg1)).
% 0.15/0.43 tff(f3,negated_conjecture,(
% 0.15/0.43 ~(symdiffE => ! [X0 : $i,X1 : $i,X2 : $i] : (in(X2,X0) => (in(X2,X1) => ~in(X2,symdiff(X0,X1)))))),
% 0.15/0.43 inference(negated_conjecture,[status(cth)],[f2])).
% 0.15/0.43 tff(f4,plain,(
% 0.15/0.43 (symdiffE = ! [X0 : $i,X1 : $i,X2 : $i] : (in(X2,symdiff(X0,X1)) => ! [X3 : $o] : ((in(X2,X0) => (~in(X2,X1) => X3)) => ((~in(X2,X0) => (in(X2,X1) => X3)) => X3))))),
% 0.15/0.43 inference(rectify,[],[f1])).
% 0.15/0.43 tff(f5,plain,(
% 0.15/0.43 symdiffE <=> ! [X0 : $i,X1 : $i,X2 : $i] : (in(X2,symdiff(X0,X1)) => ! [X3 : $o] : ((in(X2,X0) => (~in(X2,X1) => ($true = X3))) => ((~in(X2,X0) => (in(X2,X1) => ($true = X3))) => ($true = X3))))),
% 0.15/0.43 inference(fool_elimination,[],[f4])).
% 0.15/0.43 tff(f6,plain,(
% 0.15/0.43 symdiffE => ! [X0 : $i,X1 : $i,X2 : $i] : (in(X2,symdiff(X0,X1)) => ! [X3 : $o] : ((in(X2,X0) => (~in(X2,X1) => ($true = X3))) => ((~in(X2,X0) => (in(X2,X1) => ($true = X3))) => ($true = X3))))),
% 0.15/0.43 inference(unused_predicate_definition_removal,[],[f5])).
% 0.15/0.43 tff(f7,plain,(
% 0.15/0.43 ! [X0 : $i,X1 : $i,X2 : $i] : (! [X3 : $o] : ((($true = X3) | ((($true != X3) & in(X2,X1)) & ~in(X2,X0))) | ((($true != X3) & ~in(X2,X1)) & in(X2,X0))) | ~in(X2,symdiff(X0,X1))) | ~symdiffE),
% 0.15/0.43 inference(ennf_transformation,[],[f6])).
% 0.15/0.43 tff(f8,plain,(
% 0.15/0.43 ! [X0 : $i,X1 : $i,X2 : $i] : (! [X3 : $o] : (($true = X3) | (($true != X3) & in(X2,X1) & ~in(X2,X0)) | (($true != X3) & ~in(X2,X1) & in(X2,X0))) | ~in(X2,symdiff(X0,X1))) | ~symdiffE),
% 0.15/0.43 inference(flattening,[],[f7])).
% 0.15/0.43 tff(f9,plain,(
% 0.15/0.43 ? [X0 : $i,X1 : $i,X2 : $i] : ((in(X2,symdiff(X0,X1)) & in(X2,X1)) & in(X2,X0)) & symdiffE),
% 0.15/0.43 inference(ennf_transformation,[],[f3])).
% 0.15/0.43 tff(f10,plain,(
% 0.15/0.43 ? [X0 : $i,X1 : $i,X2 : $i] : (in(X2,symdiff(X0,X1)) & in(X2,X1) & in(X2,X0)) & symdiffE),
% 0.15/0.43 inference(flattening,[],[f9])).
% 0.15/0.43 tff(f11,definition,(
% 0.15/0.43 ! [X3 : $o,X1 : $i,X2 : $i,X0 : $i] : ((($true != X3) & ~in(X2,X1) & in(X2,X0)) | ~ sP0(X3,X1,X2,X0))),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction])).
% 0.15/0.43 tff(f12,plain,(
% 0.15/0.43 ! [X0 : $i,X1 : $i,X2 : $i] : (! [X3 : $o] : (($true = X3) | (($true != X3) & in(X2,X1) & ~in(X2,X0)) | sP0(X3,X1,X2,X0)) | ~in(X2,symdiff(X0,X1))) | ~symdiffE),
% 0.15/0.43 inference(definition_folding,[],[f8,f11])).
% 0.15/0.43 tff(f13,plain,(
% 0.15/0.43 ! [X3 : $o,X1 : $i,X2 : $i,X0 : $i] : ((($true != X3) & ~in(X2,X1) & in(X2,X0)) | ~sP0(X3,X1,X2,X0))),
% 0.15/0.43 inference(nnf_transformation,[],[f11])).
% 0.15/0.43 tff(f14,plain,(
% 0.15/0.43 ! [X0 : $o,X1 : $i,X2 : $i,X3 : $i] : ((($true != X0) & ~in(X2,X1) & in(X2,X3)) | ~sP0(X0,X1,X2,X3))),
% 0.15/0.43 inference(rectify,[],[f13])).
% 0.15/0.43 tff(f15,plain,(
% 0.15/0.43 (in(sK3,symdiff(sK1,sK2)) & in(sK3,sK2) & in(sK3,sK1)) & symdiffE),
% 0.15/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f10])).
% 0.15/0.43 tff(f17,plain,(
% 0.15/0.43 ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (~sP0(X0,X1,X2,X3) | ~in(X2,X1)) )),
% 0.15/0.43 inference(cnf_transformation,[],[f14])).
% 0.15/0.43 tff(f19,plain,(
% 0.15/0.43 ( ! [X2 : $i,X3 : $o,X0 : $i,X1 : $i] : (($true = X3) | ~in(X2,X0) | sP0(X3,X1,X2,X0) | ~in(X2,symdiff(X0,X1)) | ~symdiffE) )),
% 0.15/0.43 inference(cnf_transformation,[],[f12])).
% 0.15/0.43 tff(f22,plain,(
% 0.15/0.43 symdiffE),
% 0.15/0.43 inference(cnf_transformation,[],[f15])).
% 0.15/0.43 tff(f23,plain,(
% 0.15/0.43 in(sK3,sK1)),
% 0.15/0.43 inference(cnf_transformation,[],[f15])).
% 0.15/0.43 tff(f24,plain,(
% 0.15/0.43 in(sK3,sK2)),
% 0.15/0.43 inference(cnf_transformation,[],[f15])).
% 0.15/0.43 tff(f25,plain,(
% 0.15/0.43 in(sK3,symdiff(sK1,sK2))),
% 0.15/0.43 inference(cnf_transformation,[],[f15])).
% 0.15/0.43 tff(f26,definition,(
% 0.15/0.43 ($true != $false)),
% 0.15/0.43 introduced(theory,[fool_distinctness_axiom])).
% 0.15/0.43 tff(f30,plain,(
% 0.15/0.43 ( ! [X2 : $i,X3 : $o,X0 : $i,X1 : $i] : (~in(X2,symdiff(X0,X1)) | ~in(X2,X0) | sP0(X3,X1,X2,X0) | ($true = X3)) )),
% 0.15/0.43 inference(global_subsumption,[],[f19,f22])).
% 0.15/0.43 tff(f42,definition,(
% 0.15/0.43 spl4_3 <=> ! [X0 : $o] : ($true = X0)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition])).
% 0.15/0.43 tff(f43,plain,(
% 0.15/0.43 ( ! [X0 : $o] : (($true = X0)) ) | ~spl4_3),
% 0.15/0.43 inference(avatar_component_clause,[],[f42])).
% 0.15/0.43 tff(f55,plain,(
% 0.15/0.43 ( ! [X0 : $o] : (($false != X0)) ) | ~spl4_3),
% 0.15/0.43 inference(superposition,[],[f26,f43])).
% 0.15/0.43 tff(f58,plain,(
% 0.15/0.43 $false | ~spl4_3),
% 0.15/0.43 inference(equality_resolution,[],[f55])).
% 0.15/0.43 tff(f59,plain,(
% 0.15/0.43 ~spl4_3),
% 0.15/0.43 inference(avatar_contradiction_clause,[],[f58])).
% 0.15/0.43 tff(f82,plain,(
% 0.15/0.43 ( ! [X0 : $o] : (~in(sK3,sK1) | sP0(X0,sK2,sK3,sK1) | ($true = X0)) )),
% 0.15/0.43 inference(resolution,[],[f30,f25])).
% 0.15/0.43 tff(f83,plain,(
% 0.15/0.43 ( ! [X0 : $o] : (sP0(X0,sK2,sK3,sK1) | ($true = X0)) )),
% 0.15/0.43 inference(forward_subsumption_resolution,[],[f82,f23])).
% 0.15/0.43 tff(f88,plain,(
% 0.15/0.43 ( ! [X0 : $o] : (($true = X0) | ~in(sK3,sK2)) )),
% 0.15/0.43 inference(resolution,[],[f83,f17])).
% 0.15/0.43 tff(f89,plain,(
% 0.15/0.43 ( ! [X0 : $o] : (($true = X0)) )),
% 0.15/0.43 inference(forward_subsumption_resolution,[],[f88,f24])).
% 0.15/0.43 tff(f90,plain,(
% 0.15/0.43 spl4_3),
% 0.15/0.43 inference(avatar_split_clause,[],[f89,f42])).
% 0.15/0.43 cnf(s40, plain, ~spl4_3, inference(sat_conversion,[],[f59])).
% 0.15/0.43 cnf(s62, plain, spl4_3, inference(sat_conversion,[],[f90])).
% 0.15/0.43 cnf(s63, plain, $false, inference(rat,[],[s40,s62])).
% 0.15/0.43 tff(f91,plain,(
% 0.15/0.43 $false),
% 0.15/0.43 inference(avatar_sat_refutation,[],[s63])).
% 0.15/0.43 % SZS output end Proof for theBenchmark
% 0.15/0.43 % (80783)------------------------------
% 0.15/0.43 % (80783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.43 % (80783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.43 % (80783)CaDiCaL version: 2.1.3
% 0.15/0.43 % (80783)Termination reason: Refutation
% 0.15/0.43 % (80783)Time elapsed: 0.002 s
% 0.15/0.43 % (80783)Peak memory usage: 12 MB
% 0.15/0.43 % (80783)Instructions burned: 3 (million)
% 0.15/0.43 % (80776)Success in time 0.016 s
% 0.15/0.43 % Vampire exiting
%------------------------------------------------------------------------------