%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL109-2 : TPTP v9.3.1. Released v1.0.0.
% 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 : Tue Sep 29 11:51:13 AM UTC 2026
% Result : Unsatisfiable 12.85s 2.58s
% Output : Refutation 13.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 9
% Syntax : Number of formulae : 105 ( 105 unt; 4 def)
% Number of atoms : 105 ( 104 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 198 ( 198 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f2,axiom,
! [X2,X0,X1] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f3,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f6,plain,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_mv_4) ).
fof(f8,plain,
truth != implies(implies(implies(a,b),implies(b,a)),implies(b,a)),
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF0 = implies(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f10,plain,
implies(a,b) = sF0,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF1 = implies(b,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f12,plain,
implies(b,a) = sF1,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF2 = implies(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f14,plain,
implies(sF0,sF1) = sF2,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF3 = implies(sF2,sF1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f16,plain,
implies(sF2,sF1) = sF3,
inference(reorient_equations,[],[f15]) ).
fof(f17,plain,
truth != sF3,
inference(definition_folding,[],[f8,f16,f12,f14,f12,f10]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),
inference(superposition,[],[f3,f3]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : truth = implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3)),
inference(forward_demodulation,[],[f18,f1]) ).
fof(f26,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
inference(superposition,[],[f3,f1]) ).
fof(f27,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f26,f1]) ).
fof(f35,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(superposition,[],[f3,f27]) ).
fof(f37,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f1,f27]) ).
fof(f38,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f37,f1]) ).
fof(f39,plain,
! [X2,X0,X1] : truth = implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)),
inference(forward_demodulation,[],[f35,f1]) ).
fof(f67,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(superposition,[],[f4,f1]) ).
fof(f68,plain,
! [X2,X0,X1] : implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)) = implies(truth,implies(implies(X0,X1),implies(X2,X1))),
inference(superposition,[],[f4,f3]) ).
fof(f69,plain,
implies(sF1,a) = implies(implies(a,b),b),
inference(superposition,[],[f4,f12]) ).
fof(f80,plain,
implies(sF1,a) = implies(sF0,b),
inference(forward_demodulation,[],[f69,f10]) ).
fof(f81,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(X2,X1)) = implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)),
inference(forward_demodulation,[],[f68,f1]) ).
fof(f82,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(forward_demodulation,[],[f67,f38]) ).
fof(f102,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f113,plain,
! [X2,X0,X1] : truth = implies(implies(X0,implies(not(X1),not(X2))),implies(truth,implies(X0,implies(X2,X1)))),
inference(superposition,[],[f3,f6]) ).
fof(f117,plain,
! [X2,X0,X1] : truth = implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f124,plain,
! [X2,X3,X0,X1] : implies(truth,implies(X3,implies(implies(X1,X2),implies(X0,X2)))) = implies(implies(implies(truth,implies(X3,implies(implies(X1,X2),implies(X0,X2)))),implies(X3,implies(X0,X1))),implies(X3,implies(X0,X1))),
inference(superposition,[],[f81,f3]) ).
fof(f182,plain,
! [X2,X3,X0,X1] : implies(X3,implies(implies(X1,X2),implies(X0,X2))) = implies(implies(implies(X3,implies(implies(X1,X2),implies(X0,X2))),implies(X3,implies(X0,X1))),implies(X3,implies(X0,X1))),
inference(forward_demodulation,[],[f124,f1]) ).
fof(f196,plain,
! [X0] : truth = implies(X0,truth),
inference(superposition,[],[f27,f82]) ).
fof(f234,plain,
! [X0,X1] : implies(implies(truth,X0),implies(X1,X0)) = implies(implies(implies(implies(truth,X0),implies(X1,X0)),truth),truth),
inference(superposition,[],[f81,f196]) ).
fof(f240,plain,
! [X0,X1] : truth = implies(implies(truth,X0),implies(X1,X0)),
inference(forward_demodulation,[],[f234,f82]) ).
fof(f251,plain,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
inference(forward_demodulation,[],[f240,f1]) ).
fof(f270,plain,
truth = implies(b,sF0),
inference(superposition,[],[f251,f10]) ).
fof(f271,plain,
truth = implies(a,sF1),
inference(superposition,[],[f251,f12]) ).
fof(f338,plain,
implies(implies(a,sF1),sF1) = implies(implies(sF0,b),a),
inference(superposition,[],[f4,f80]) ).
fof(f345,plain,
implies(truth,sF1) = implies(implies(sF0,b),a),
inference(forward_demodulation,[],[f338,f271]) ).
fof(f347,plain,
sF1 = implies(implies(sF0,b),a),
inference(forward_demodulation,[],[f345,f1]) ).
fof(f862,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1)))),
inference(superposition,[],[f23,f39]) ).
fof(f967,plain,
! [X2,X0,X1] : truth = implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f862,f1]) ).
fof(f1175,plain,
! [X2,X0,X1] : implies(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2))) = implies(truth,implies(X0,implies(X1,X2))),
inference(superposition,[],[f4,f967]) ).
fof(f1201,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2))),
inference(forward_demodulation,[],[f1175,f1]) ).
fof(f1254,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(truth,implies(X1,implies(X0,X2))),
inference(forward_demodulation,[],[f1201,f967]) ).
fof(f1269,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f1254,f1]) ).
fof(f1320,plain,
! [X2,X3,X0,X1] : implies(X3,implies(X0,implies(X1,X2))) = implies(X1,implies(X3,implies(X0,X2))),
inference(superposition,[],[f1269,f1269]) ).
fof(f1326,plain,
! [X2,X0,X1] : implies(X2,implies(implies(X0,X1),X1)) = implies(implies(X1,X0),implies(X2,X0)),
inference(superposition,[],[f1269,f4]) ).
fof(f1339,plain,
! [X0] : implies(X0,sF1) = implies(b,implies(X0,a)),
inference(superposition,[],[f1269,f12]) ).
fof(f2169,plain,
! [X0,X1] : truth = implies(truth,implies(not(X0),implies(X0,X1))),
inference(superposition,[],[f117,f251]) ).
fof(f2357,plain,
! [X0,X1] : truth = implies(not(X0),implies(X0,X1)),
inference(forward_demodulation,[],[f2169,f1]) ).
fof(f2424,plain,
! [X0,X1] : truth = implies(X0,implies(not(X0),X1)),
inference(forward_demodulation,[],[f2357,f1269]) ).
fof(f2500,plain,
! [X0] : truth = implies(not(truth),X0),
inference(superposition,[],[f1,f2424]) ).
fof(f3803,plain,
! [X2,X3,X0,X1] : implies(X0,implies(truth,implies(X3,implies(not(X1),X2)))) = implies(implies(implies(X0,implies(truth,implies(X3,implies(not(X1),X2)))),implies(X0,implies(X3,X1))),implies(X0,implies(X3,X1))),
inference(superposition,[],[f182,f2424]) ).
fof(f3823,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(implies(implies(X0,implies(truth,implies(X2,X1))),implies(X0,implies(X2,implies(not(X1),not(truth))))),implies(X0,implies(X2,implies(not(X1),not(truth))))),
inference(superposition,[],[f182,f102]) ).
fof(f4260,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(implies(implies(X0,implies(X2,implies(not(X1),not(truth)))),implies(X0,implies(truth,implies(X2,X1)))),implies(X0,implies(truth,implies(X2,X1)))),
inference(forward_demodulation,[],[f3823,f4]) ).
fof(f4276,plain,
! [X2,X3,X0,X1] : implies(X0,implies(truth,implies(X3,implies(not(X1),X2)))) = implies(X3,implies(implies(implies(X0,implies(truth,implies(X3,implies(not(X1),X2)))),implies(X0,implies(X3,X1))),implies(X0,X1))),
inference(forward_demodulation,[],[f3803,f1320]) ).
fof(f4473,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(truth,implies(implies(implies(X0,implies(X2,implies(not(X1),not(truth)))),implies(X0,implies(truth,implies(X2,X1)))),implies(X0,implies(X2,X1)))),
inference(forward_demodulation,[],[f4260,f1320]) ).
fof(f4489,plain,
! [X2,X3,X0,X1] : implies(X0,implies(truth,implies(X3,implies(not(X1),X2)))) = implies(X3,implies(X0,implies(implies(implies(X0,implies(truth,implies(X3,implies(not(X1),X2)))),implies(X0,implies(X3,X1))),X1))),
inference(forward_demodulation,[],[f4276,f1269]) ).
fof(f4650,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(implies(implies(X0,implies(X2,implies(not(X1),not(truth)))),implies(X0,implies(truth,implies(X2,X1)))),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f4473,f1]) ).
fof(f4666,plain,
! [X2,X3,X0,X1] : implies(X0,implies(truth,implies(X3,implies(not(X1),X2)))) = implies(X3,implies(X0,implies(implies(X3,implies(implies(X0,implies(truth,implies(X3,implies(not(X1),X2)))),implies(X0,X1))),X1))),
inference(forward_demodulation,[],[f4489,f1320]) ).
fof(f4802,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(X2,implies(implies(implies(X0,implies(X2,implies(not(X1),not(truth)))),implies(X0,implies(truth,implies(X2,X1)))),implies(X0,X1))),
inference(forward_demodulation,[],[f4650,f1320]) ).
fof(f4818,plain,
! [X2,X3,X0,X1] : implies(X0,implies(truth,implies(X3,implies(not(X1),X2)))) = implies(X3,implies(X0,implies(implies(X3,implies(X0,implies(implies(X0,implies(truth,implies(X3,implies(not(X1),X2)))),X1))),X1))),
inference(forward_demodulation,[],[f4666,f1269]) ).
fof(f4913,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(X2,implies(X0,implies(implies(implies(X0,implies(X2,implies(not(X1),not(truth)))),implies(X0,implies(truth,implies(X2,X1)))),X1))),
inference(forward_demodulation,[],[f4802,f1269]) ).
fof(f4929,plain,
! [X2,X3,X0,X1] : implies(X0,implies(X3,implies(not(X1),X2))) = implies(X3,implies(X0,implies(implies(X3,implies(X0,implies(implies(X0,implies(X3,implies(not(X1),X2))),X1))),X1))),
inference(forward_demodulation,[],[f4818,f1]) ).
fof(f4991,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(X2,implies(X0,implies(implies(truth,implies(implies(X0,implies(X2,implies(not(X1),not(truth)))),implies(X0,implies(X2,X1)))),X1))),
inference(forward_demodulation,[],[f4913,f1320]) ).
fof(f5044,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(X2,implies(X0,implies(implies(implies(X0,implies(X2,implies(not(X1),not(truth)))),implies(X0,implies(X2,X1))),X1))),
inference(forward_demodulation,[],[f4991,f1]) ).
fof(f5080,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(X2,implies(X0,implies(implies(X2,implies(implies(X0,implies(X2,implies(not(X1),not(truth)))),implies(X0,X1))),X1))),
inference(forward_demodulation,[],[f5044,f1320]) ).
fof(f5098,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(X2,implies(X0,implies(implies(X2,implies(X0,implies(implies(X0,implies(X2,implies(not(X1),not(truth)))),X1))),X1))),
inference(forward_demodulation,[],[f5080,f1269]) ).
fof(f5112,plain,
! [X2,X0,X1] : implies(X0,implies(truth,implies(X2,X1))) = implies(X0,implies(X2,implies(not(X1),not(truth)))),
inference(forward_demodulation,[],[f5098,f4929]) ).
fof(f5122,plain,
! [X2,X0,X1] : implies(X0,implies(X2,X1)) = implies(X0,implies(X2,implies(not(X1),not(truth)))),
inference(forward_demodulation,[],[f5112,f1]) ).
fof(f5228,plain,
! [X0,X1] : implies(truth,implies(X0,X1)) = implies(X0,implies(not(X1),not(truth))),
inference(superposition,[],[f1,f5122]) ).
fof(f5291,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,implies(not(X1),not(truth))),
inference(forward_demodulation,[],[f5228,f1]) ).
fof(f5561,plain,
! [X0] : implies(truth,X0) = implies(not(X0),not(truth)),
inference(superposition,[],[f1,f5291]) ).
fof(f5605,plain,
! [X0] : implies(not(X0),not(truth)) = X0,
inference(forward_demodulation,[],[f5561,f1]) ).
fof(f5726,plain,
! [X0] : implies(X0,not(truth)) = implies(implies(not(truth),not(X0)),not(X0)),
inference(superposition,[],[f4,f5605]) ).
fof(f5751,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(X1,implies(implies(not(truth),not(X0)),not(X0))),
inference(superposition,[],[f1326,f5605]) ).
fof(f5754,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(X1,implies(truth,not(X0))),
inference(forward_demodulation,[],[f5751,f2500]) ).
fof(f5771,plain,
! [X0] : implies(X0,not(truth)) = implies(truth,not(X0)),
inference(forward_demodulation,[],[f5726,f2500]) ).
fof(f5775,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X0,implies(X1,not(truth))),
inference(forward_demodulation,[],[f5754,f1]) ).
fof(f5786,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(forward_demodulation,[],[f5771,f1]) ).
fof(f5843,plain,
! [X0,X1] : implies(X1,implies(not(X0),not(truth))) = implies(implies(not(truth),X0),implies(X1,X0)),
inference(superposition,[],[f1326,f5786]) ).
fof(f5883,plain,
! [X0,X1] : implies(truth,implies(X1,X0)) = implies(X1,implies(not(X0),not(truth))),
inference(forward_demodulation,[],[f5843,f2500]) ).
fof(f5919,plain,
! [X0,X1] : implies(not(X0),not(X1)) = implies(truth,implies(X1,X0)),
inference(forward_demodulation,[],[f5883,f5775]) ).
fof(f5947,plain,
! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
inference(forward_demodulation,[],[f5919,f1]) ).
fof(f5992,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),not(X1)) = implies(implies(X0,X1),not(X0)),
inference(superposition,[],[f4,f5947]) ).
fof(f6015,plain,
! [X2,X0,X1] : implies(X2,implies(X0,X1)) = implies(not(X1),implies(X2,not(X0))),
inference(superposition,[],[f1269,f5947]) ).
fof(f6041,plain,
! [X0,X1] : implies(implies(X0,X1),not(X0)) = implies(implies(X1,X0),not(X1)),
inference(forward_demodulation,[],[f5992,f5947]) ).
fof(f7141,plain,
! [X2,X0,X1] : implies(implies(X1,X0),implies(X1,X2)) = implies(not(X2),implies(implies(X0,X1),not(X0))),
inference(superposition,[],[f6015,f6041]) ).
fof(f7197,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(X0,X2)) = implies(implies(X1,X0),implies(X1,X2)),
inference(forward_demodulation,[],[f7141,f6015]) ).
fof(f7344,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(X0,X2)) = implies(X1,implies(implies(X1,X0),X2)),
inference(forward_demodulation,[],[f7197,f1269]) ).
fof(f7474,plain,
! [X2,X0,X1] : implies(X1,implies(implies(X1,X0),X2)) = implies(X0,implies(implies(X0,X1),X2)),
inference(forward_demodulation,[],[f7344,f1269]) ).
fof(f7868,plain,
implies(sF0,sF1) = implies(b,implies(implies(b,sF0),a)),
inference(superposition,[],[f7474,f347]) ).
fof(f8121,plain,
implies(sF0,sF1) = implies(implies(b,sF0),sF1),
inference(forward_demodulation,[],[f7868,f1339]) ).
fof(f8317,plain,
implies(sF0,sF1) = implies(truth,sF1),
inference(forward_demodulation,[],[f8121,f270]) ).
fof(f8428,plain,
sF1 = implies(sF0,sF1),
inference(forward_demodulation,[],[f8317,f1]) ).
fof(f8774,plain,
sF1 = sF2,
inference(superposition,[],[f14,f8428]) ).
fof(f8875,plain,
sF3 = implies(sF1,sF1),
inference(superposition,[],[f16,f8774]) ).
fof(f8876,plain,
truth = sF3,
inference(forward_demodulation,[],[f8875,f38]) ).
fof(f8878,plain,
$false,
inference(forward_subsumption_resolution,[],[f8876,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL109-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.34 % Computer : n013.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sun Sep 27 15:21:36 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.34 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.85/2.58 % (343206)Detected a unit-equality problem, will run specialized UEQ schedule.
% 12.85/2.58 % (343217)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3422733534:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 12.85/2.58 % (343211)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3867073859:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 12.85/2.58 % (343213)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2668390917:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 12.85/2.58 % (343216)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=294939712:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 12.85/2.58 % (343212)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2958748467:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 12.85/2.58 % (343214)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3082896857:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 12.85/2.58 % (343215)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3732806561:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 12.85/2.58 % (343214)Instruction limit reached!
% 12.85/2.58 % (343214)------------------------------
% 12.85/2.58 % (343214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.58 % (343214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.58 % (343214)CaDiCaL version: 2.1.3
% 12.85/2.58 % (343214)Termination reason: Instruction limit
% 12.85/2.58 % (343214)Termination phase: Saturation
% 12.85/2.58 % (343214)Time elapsed: 0.123 s
% 12.85/2.58 % (343214)Peak memory usage: 88 MB
% 12.85/2.58 % (343214)Instructions burned: 136 (million)
% 12.85/2.58 % (343215)Instruction limit reached!
% 12.85/2.58 % (343215)------------------------------
% 12.85/2.58 % (343215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.58 % (343215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.58 % (343215)CaDiCaL version: 2.1.3
% 12.85/2.58 % (343215)Termination reason: Instruction limit
% 12.85/2.58 % (343215)Termination phase: Saturation
% 12.85/2.58 % (343215)Time elapsed: 0.161 s
% 12.85/2.58 % (343215)Peak memory usage: 89 MB
% 12.85/2.58 % (343215)Instructions burned: 181 (million)
% 12.85/2.58 % (343216)Instruction limit reached!
% 12.85/2.58 % (343216)------------------------------
% 12.85/2.58 % (343216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.58 % (343216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.58 % (343216)CaDiCaL version: 2.1.3
% 12.85/2.58 % (343216)Termination reason: Instruction limit
% 12.85/2.58 % (343216)Termination phase: Saturation
% 12.85/2.58 % (343216)Time elapsed: 0.249 s
% 12.85/2.58 % (343216)Peak memory usage: 90 MB
% 12.85/2.58 % (343216)Instructions burned: 257 (million)
% 12.85/2.58 % (343217)Instruction limit reached!
% 12.85/2.58 % (343217)------------------------------
% 12.85/2.58 % (343217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.58 % (343217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.58 % (343217)CaDiCaL version: 2.1.3
% 12.85/2.58 % (343217)Termination reason: Instruction limit
% 12.85/2.58 % (343217)Termination phase: Saturation
% 12.85/2.58 % (343217)Time elapsed: 0.379 s
% 12.85/2.58 % (343217)Peak memory usage: 100 MB
% 12.85/2.58 % (343217)Instructions burned: 1188 (million)
% 12.85/2.58 % (343225)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1144691586:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 12.85/2.58 % (343226)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2078004626:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 12.85/2.58 % (343228)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=4052365138:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 12.85/2.58 % (343227)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=30172190:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 12.85/2.58 % (343228)Instruction limit reached!
% 12.85/2.58 % (343228)------------------------------
% 12.85/2.58 % (343228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.58 % (343228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.58 % (343228)CaDiCaL version: 2.1.3
% 12.85/2.58 % (343228)Termination reason: Instruction limit
% 12.85/2.58 % (343228)Termination phase: Saturation
% 12.85/2.58 % (343228)Time elapsed: 0.184 s
% 12.85/2.58 % (343228)Peak memory usage: 94 MB
% 12.85/2.58 % (343228)Instructions burned: 318 (million)
% 12.85/2.58 % (343227)Instruction limit reached!
% 12.85/2.58 % (343227)------------------------------
% 12.85/2.58 % (343227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.58 % (343227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.58 % (343227)CaDiCaL version: 2.1.3
% 12.85/2.58 % (343227)Termination reason: Instruction limit
% 12.85/2.58 % (343227)Termination phase: Saturation
% 12.85/2.58 % (343227)Time elapsed: 0.193 s
% 12.85/2.58 % (343227)Peak memory usage: 89 MB
% 12.85/2.58 % (343227)Instructions burned: 215 (million)
% 12.85/2.58 % (343233)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=930449156:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 12.85/2.58 % (343234)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2385095568:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 12.85/2.58 % (343233)First to succeed.
% 12.85/2.58 % (343233)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-343206"
% 12.85/2.58 % (343233)Refutation found. Thanks to Tanya!
% 12.85/2.58 % SZS status Unsatisfiable for theBenchmark
% 12.85/2.58 % SZS output start Proof for theBenchmark
% See solution above
% 13.58/2.79 % (343233)------------------------------
% 13.58/2.79 % (343233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.58/2.79 % (343233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.79 % (343233)CaDiCaL version: 2.1.3
% 13.58/2.79 % (343233)Termination reason: Refutation
% 13.58/2.79 % (343233)Time elapsed: 0.697 s
% 13.58/2.79 % (343233)Peak memory usage: 140 MB
% 13.58/2.79 % (343233)Instructions burned: 2018 (million)
% 13.58/2.79 % (343233)------------------------------
% 13.58/2.79 % (343233)------------------------------
% 13.58/2.79 % (343206)Success in time 1.867 s
% 13.58/2.79 % Vampire exiting
%------------------------------------------------------------------------------