%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU615_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU615_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n010.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
% 0.13/0.40 % DateTime : Mon Sep 28 05:46:03 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.13/0.46 % (1640455)Will run a generic schedule for satisfiability detection.
% 0.13/0.46 % (1640466)dis+10_1_sil=32000:sp=arity:random_seed=1811130436:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.13/0.46 % (1640466) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1640455-1640466"...
% 0.13/0.46 % (1640466)...printing done.
% 0.13/0.46 % (1640464)% WARNING: option uhcvi not known.
% 0.13/0.46 % (1640466)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 tff(pred_def_3, type, sP0: ($o * $i * $i * $i) > $o).
% 0.13/0.46 tff(f1,axiom,(
% 0.13/0.46 (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))))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symdiffE)).
% 0.13/0.46 tff(f2,conjecture,(
% 0.13/0.46 symdiffE => ! [X0 : $i,X1 : $i,X2 : $i] : (~in(X2,X0) => (~in(X2,X1) => ~in(X2,symdiff(X0,X1))))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symdiffIneg2)).
% 0.13/0.46 tff(f3,negated_conjecture,(
% 0.13/0.46 ~(symdiffE => ! [X0 : $i,X1 : $i,X2 : $i] : (~in(X2,X0) => (~in(X2,X1) => ~in(X2,symdiff(X0,X1)))))),
% 0.13/0.46 inference(negated_conjecture,[status(cth)],[f2])).
% 0.13/0.46 tff(f4,plain,(
% 0.13/0.46 (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))))),
% 0.13/0.46 inference(rectify,[],[f1])).
% 0.13/0.46 tff(f5,plain,(
% 0.13/0.46 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))))),
% 0.13/0.46 inference(fool_elimination,[],[f4])).
% 0.13/0.46 tff(f6,plain,(
% 0.13/0.46 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))))),
% 0.13/0.46 inference(unused_predicate_definition_removal,[],[f5])).
% 0.13/0.46 tff(f7,plain,(
% 0.13/0.46 ! [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),
% 0.13/0.46 inference(ennf_transformation,[],[f6])).
% 0.13/0.46 tff(f8,plain,(
% 0.13/0.46 ! [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),
% 0.13/0.46 inference(flattening,[],[f7])).
% 0.13/0.46 tff(f9,plain,(
% 0.13/0.46 ? [X0 : $i,X1 : $i,X2 : $i] : ((in(X2,symdiff(X0,X1)) & ~in(X2,X1)) & ~in(X2,X0)) & symdiffE),
% 0.13/0.46 inference(ennf_transformation,[],[f3])).
% 0.13/0.46 tff(f10,plain,(
% 0.13/0.46 ? [X0 : $i,X1 : $i,X2 : $i] : (in(X2,symdiff(X0,X1)) & ~in(X2,X1) & ~in(X2,X0)) & symdiffE),
% 0.13/0.46 inference(flattening,[],[f9])).
% 0.13/0.46 tff(f11,definition,(
% 0.13/0.46 ! [X3 : $o,X1 : $i,X2 : $i,X0 : $i] : ((($true != X3) & ~in(X2,X1) & in(X2,X0)) | ~ sP0(X3,X1,X2,X0))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction])).
% 0.13/0.46 tff(f12,plain,(
% 0.13/0.46 ! [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),
% 0.13/0.46 inference(definition_folding,[],[f8,f11])).
% 0.13/0.46 tff(f13,plain,(
% 0.13/0.46 ! [X3 : $o,X1 : $i,X2 : $i,X0 : $i] : ((($true != X3) & ~in(X2,X1) & in(X2,X0)) | ~sP0(X3,X1,X2,X0))),
% 0.13/0.46 inference(nnf_transformation,[],[f11])).
% 0.13/0.46 tff(f14,plain,(
% 0.13/0.46 ! [X0 : $o,X1 : $i,X2 : $i,X3 : $i] : ((($true != X0) & ~in(X2,X1) & in(X2,X3)) | ~sP0(X0,X1,X2,X3))),
% 0.13/0.46 inference(rectify,[],[f13])).
% 0.13/0.46 tff(f15,plain,(
% 0.13/0.46 (in(sK3,symdiff(sK1,sK2)) & ~in(sK3,sK2) & ~in(sK3,sK1)) & symdiffE),
% 0.13/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f10])).
% 0.13/0.46 tff(f16,plain,(
% 0.13/0.46 ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (~sP0(X0,X1,X2,X3) | in(X2,X3)) )),
% 0.13/0.46 inference(cnf_transformation,[],[f14])).
% 0.13/0.46 tff(f20,plain,(
% 0.13/0.46 ( ! [X2 : $i,X3 : $o,X0 : $i,X1 : $i] : (($true = X3) | in(X2,X1) | sP0(X3,X1,X2,X0) | ~in(X2,symdiff(X0,X1)) | ~symdiffE) )),
% 0.13/0.46 inference(cnf_transformation,[],[f12])).
% 0.13/0.46 tff(f22,plain,(
% 0.13/0.46 symdiffE),
% 0.13/0.46 inference(cnf_transformation,[],[f15])).
% 0.13/0.46 tff(f23,plain,(
% 0.13/0.46 ~in(sK3,sK1)),
% 0.13/0.46 inference(cnf_transformation,[],[f15])).
% 0.13/0.46 tff(f24,plain,(
% 0.13/0.46 ~in(sK3,sK2)),
% 0.13/0.46 inference(cnf_transformation,[],[f15])).
% 0.13/0.46 tff(f25,plain,(
% 0.13/0.46 in(sK3,symdiff(sK1,sK2))),
% 0.13/0.46 inference(cnf_transformation,[],[f15])).
% 0.13/0.46 tff(f26,definition,(
% 0.13/0.46 ($true != $false)),
% 0.13/0.46 introduced(theory,[fool_distinctness_axiom])).
% 0.13/0.46 tff(f31,definition,(
% 0.13/0.46 spl4_1 <=> symdiffE),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition])).
% 0.13/0.46 tff(f39,definition,(
% 0.13/0.46 spl4_3 <=> ! [X0 : $i,X3 : $o,X2 : $i,X1 : $i] : (($true = X3) | ~in(X2,symdiff(X0,X1)) | sP0(X3,X1,X2,X0) | in(X2,X1))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition])).
% 0.13/0.46 tff(f40,plain,(
% 0.13/0.46 ( ! [X2 : $i,X3 : $o,X0 : $i,X1 : $i] : (~in(X2,symdiff(X0,X1)) | ($true = X3) | sP0(X3,X1,X2,X0) | in(X2,X1)) ) | ~spl4_3),
% 0.13/0.46 inference(avatar_component_clause,[],[f39])).
% 0.13/0.46 tff(f41,plain,(
% 0.13/0.46 ~spl4_1 | spl4_3),
% 0.13/0.46 inference(avatar_split_clause,[],[f20,f39,f31])).
% 0.13/0.46 tff(f42,plain,(
% 0.13/0.46 spl4_1),
% 0.13/0.46 inference(avatar_split_clause,[],[f22,f31])).
% 0.13/0.46 tff(f84,plain,(
% 0.13/0.46 ( ! [X0 : $o] : (($true = X0) | sP0(X0,sK2,sK3,sK1) | in(sK3,sK2)) ) | ~spl4_3),
% 0.13/0.46 inference(resolution,[],[f40,f25])).
% 0.13/0.46 tff(f85,plain,(
% 0.13/0.46 ( ! [X0 : $o] : (sP0(X0,sK2,sK3,sK1) | ($true = X0)) ) | ~spl4_3),
% 0.13/0.46 inference(forward_subsumption_resolution,[],[f84,f24])).
% 0.13/0.46 tff(f89,plain,(
% 0.13/0.46 ( ! [X0 : $o] : (($true = X0) | in(sK3,sK1)) ) | ~spl4_3),
% 0.13/0.46 inference(resolution,[],[f85,f16])).
% 0.13/0.46 tff(f90,plain,(
% 0.13/0.46 ( ! [X0 : $o] : (($true = X0)) ) | ~spl4_3),
% 0.13/0.46 inference(forward_subsumption_resolution,[],[f89,f23])).
% 0.13/0.46 tff(f91,plain,(
% 0.13/0.46 ( ! [X0 : $o,X1 : $o] : ((X0 = X1)) ) | ~spl4_3),
% 0.13/0.46 inference(superposition,[],[f90,f90])).
% 0.13/0.46 tff(f105,plain,(
% 0.13/0.46 ( ! [X0 : $o] : (($false != X0)) ) | ~spl4_3),
% 0.13/0.46 inference(superposition,[],[f26,f91])).
% 0.13/0.46 tff(f116,plain,(
% 0.13/0.46 $false | ~spl4_3),
% 0.13/0.46 inference(forward_subsumption_resolution,[],[f105,f91])).
% 0.13/0.46 tff(f117,plain,(
% 0.13/0.46 ~spl4_3),
% 0.13/0.46 inference(avatar_contradiction_clause,[],[f116])).
% 0.13/0.46 cnf(s2, plain, ~spl4_1 | spl4_3, inference(sat_conversion,[],[f41])).
% 0.13/0.46 cnf(s3, plain, spl4_1, inference(sat_conversion,[],[f42])).
% 0.13/0.46 cnf(s5, plain, ~spl4_3, inference(sat_conversion,[],[f117])).
% 0.13/0.46 cnf(s6, plain, $false, inference(rat,[],[s2,s5,s3])).
% 0.13/0.46 tff(f118,plain,(
% 0.13/0.46 $false),
% 0.13/0.46 inference(avatar_sat_refutation,[],[s6])).
% 0.13/0.46 % SZS output end Proof for theBenchmark
% 0.13/0.46 % (1640466)------------------------------
% 0.13/0.46 % (1640466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46 % (1640466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46 % (1640466)CaDiCaL version: 2.1.3
% 0.13/0.46 % (1640466)Termination reason: Refutation
% 0.13/0.46 % (1640466)Time elapsed: 0.002 s
% 0.13/0.46 % (1640466)Peak memory usage: 12 MB
% 0.13/0.46 % (1640466)Instructions burned: 4 (million)
% 0.13/0.46 % (1640455)Success in time 0.017 s
% 0.13/0.46 % Vampire exiting
%------------------------------------------------------------------------------