%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL147-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 11:51:20 AM UTC 2026
% Result : Unsatisfiable 10.48s 2.37s
% Output : Refutation 11.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 7
% Syntax : Number of formulae : 96 ( 96 unt; 0 def)
% Number of atoms : 96 ( 95 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 199 ( 199 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox2/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,axiom,
! [X0,X1] : big_V(X0,X1) = implies(implies(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',big_V_definition) ).
fof(f8,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0,X1] : big_hat(X0,X1) = not(big_V(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',big_hat_definition) ).
fof(f14,negated_conjecture,
implies(big_V(x,y),z) != big_hat(implies(x,z),implies(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_theorem) ).
fof(f15,plain,
! [X0,X1] : big_hat(X0,X1) = not(implies(implies(not(X0),not(X1)),not(X1))),
inference(definition_unfolding,[],[f9,f8]) ).
fof(f16,plain,
implies(implies(implies(x,y),y),z) != not(implies(implies(not(implies(x,z)),not(implies(y,z))),not(implies(y,z)))),
inference(definition_unfolding,[],[f14,f8,f15]) ).
fof(f17,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(f22,plain,
! [X2,X3,X0,X1] : truth = implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3)),
inference(forward_demodulation,[],[f17,f1]) ).
fof(f24,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(f35,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,[],[f24,f1]) ).
fof(f43,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(f46,plain,
! [X2,X0,X1] : truth = implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f47,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f52,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
inference(superposition,[],[f3,f1]) ).
fof(f53,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f64,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(superposition,[],[f3,f53]) ).
fof(f70,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f1,f53]) ).
fof(f72,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f70,f1]) ).
fof(f76,plain,
! [X2,X0,X1] : truth = implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f166,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1)))),
inference(superposition,[],[f22,f76]) ).
fof(f216,plain,
! [X2,X0,X1] : truth = implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f166,f1]) ).
fof(f291,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,f216]) ).
fof(f303,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,[],[f291,f1]) ).
fof(f328,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(truth,implies(X1,implies(X0,X2))),
inference(forward_demodulation,[],[f303,f216]) ).
fof(f331,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f328,f1]) ).
fof(f356,plain,
! [X2,X0,X1] : implies(X2,implies(implies(X0,X1),X1)) = implies(implies(X1,X0),implies(X2,X0)),
inference(superposition,[],[f331,f4]) ).
fof(f364,plain,
! [X2,X3,X0,X1] : implies(X3,implies(X0,implies(X1,X2))) = implies(X1,implies(X3,implies(X0,X2))),
inference(superposition,[],[f331,f331]) ).
fof(f551,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = implies(implies(X1,X0),truth),
inference(superposition,[],[f356,f72]) ).
fof(f675,plain,
! [X0,X1] : truth = implies(implies(X1,X0),truth),
inference(forward_demodulation,[],[f551,f53]) ).
fof(f769,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(X0,X1)),
inference(superposition,[],[f76,f675]) ).
fof(f806,plain,
! [X0,X1] : truth = implies(X1,implies(X0,X1)),
inference(forward_demodulation,[],[f769,f1]) ).
fof(f940,plain,
! [X2,X0,X1] : implies(implies(X2,implies(X1,X0)),truth) = implies(X0,implies(implies(implies(X1,X0),X2),X2)),
inference(superposition,[],[f356,f806]) ).
fof(f948,plain,
! [X2,X0,X1] : truth = implies(X0,implies(implies(implies(X1,X0),X2),X2)),
inference(forward_demodulation,[],[f940,f675]) ).
fof(f1681,plain,
! [X0,X1] : truth = implies(truth,implies(not(X0),implies(X0,X1))),
inference(superposition,[],[f46,f806]) ).
fof(f1825,plain,
! [X0,X1] : truth = implies(not(X0),implies(X0,X1)),
inference(forward_demodulation,[],[f1681,f1]) ).
fof(f1873,plain,
! [X0,X1] : truth = implies(X0,implies(not(X0),X1)),
inference(forward_demodulation,[],[f1825,f331]) ).
fof(f1941,plain,
! [X0,X1] : implies(implies(implies(not(X0),X1),X0),X0) = implies(truth,implies(not(X0),X1)),
inference(superposition,[],[f4,f1873]) ).
fof(f1963,plain,
! [X0] : truth = implies(not(truth),X0),
inference(superposition,[],[f1,f1873]) ).
fof(f1991,plain,
! [X0,X1] : implies(not(X0),X1) = implies(implies(implies(not(X0),X1),X0),X0),
inference(forward_demodulation,[],[f1941,f1]) ).
fof(f2032,plain,
! [X2,X0,X1] : implies(implies(implies(X0,X1),X1),implies(X2,X0)) = implies(implies(implies(implies(implies(X0,X1),X1),implies(X2,X0)),implies(X2,implies(X1,X0))),implies(X2,implies(X1,X0))),
inference(superposition,[],[f35,f4]) ).
fof(f2282,plain,
! [X2,X0,X1] : implies(implies(implies(X0,X1),X1),implies(X2,X0)) = implies(X1,implies(implies(implies(implies(implies(X0,X1),X1),implies(X2,X0)),implies(X2,implies(X1,X0))),implies(X2,X0))),
inference(forward_demodulation,[],[f2032,f364]) ).
fof(f2369,plain,
! [X2,X0,X1] : implies(implies(implies(X0,X1),X1),implies(X2,X0)) = implies(X1,implies(X2,implies(implies(implies(implies(implies(X0,X1),X1),implies(X2,X0)),implies(X2,implies(X1,X0))),X0))),
inference(forward_demodulation,[],[f2282,f331]) ).
fof(f2428,plain,
! [X2,X0,X1] : implies(implies(implies(X0,X1),X1),implies(X2,X0)) = implies(X1,implies(X2,implies(implies(X1,implies(implies(implies(implies(X0,X1),X1),implies(X2,X0)),implies(X2,X0))),X0))),
inference(forward_demodulation,[],[f2369,f364]) ).
fof(f2468,plain,
! [X2,X0,X1] : implies(implies(implies(X0,X1),X1),implies(X2,X0)) = implies(X1,implies(X2,implies(truth,X0))),
inference(forward_demodulation,[],[f2428,f948]) ).
fof(f2487,plain,
! [X2,X0,X1] : implies(implies(implies(X0,X1),X1),implies(X2,X0)) = implies(X1,implies(X2,X0)),
inference(forward_demodulation,[],[f2468,f1]) ).
fof(f2606,plain,
! [X2,X0,X1] : implies(X0,implies(implies(X1,X2),X2)) = implies(implies(X2,X1),implies(implies(implies(X2,X0),X0),X1)),
inference(superposition,[],[f356,f2487]) ).
fof(f3344,plain,
! [X0] : implies(truth,X0) = implies(not(X0),not(truth)),
inference(superposition,[],[f1991,f47]) ).
fof(f3421,plain,
! [X0] : implies(not(X0),not(truth)) = X0,
inference(forward_demodulation,[],[f3344,f1]) ).
fof(f3455,plain,
! [X0] : implies(X0,not(truth)) = implies(implies(not(truth),not(X0)),not(X0)),
inference(superposition,[],[f4,f3421]) ).
fof(f3473,plain,
! [X0,X1] : implies(implies(X1,not(truth)),X0) = implies(not(X0),implies(implies(not(truth),X1),X1)),
inference(superposition,[],[f356,f3421]) ).
fof(f3485,plain,
! [X0,X1] : implies(implies(X1,not(truth)),X0) = implies(not(X0),implies(truth,X1)),
inference(forward_demodulation,[],[f3473,f1963]) ).
fof(f3498,plain,
! [X0] : implies(X0,not(truth)) = implies(truth,not(X0)),
inference(forward_demodulation,[],[f3455,f1963]) ).
fof(f3503,plain,
! [X0,X1] : implies(truth,implies(not(X0),X1)) = implies(implies(X1,not(truth)),X0),
inference(forward_demodulation,[],[f3485,f331]) ).
fof(f3511,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(forward_demodulation,[],[f3498,f1]) ).
fof(f3515,plain,
! [X0,X1] : implies(not(X0),X1) = implies(implies(X1,not(truth)),X0),
inference(forward_demodulation,[],[f3503,f1]) ).
fof(f3519,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(forward_demodulation,[],[f3515,f3511]) ).
fof(f3577,plain,
! [X2,X0,X1] : implies(not(implies(implies(X0,X1),X1)),X2) = implies(implies(X1,X0),implies(not(X2),X0)),
inference(superposition,[],[f356,f3519]) ).
fof(f3590,plain,
! [X0] : implies(not(not(truth)),X0) = X0,
inference(superposition,[],[f3421,f3519]) ).
fof(f3614,plain,
! [X2,X0,X1] : implies(X2,implies(not(X0),X1)) = implies(not(X1),implies(X2,X0)),
inference(superposition,[],[f331,f3519]) ).
fof(f3633,plain,
! [X2,X0,X1] : implies(not(implies(X0,X1)),X2) = implies(X0,implies(not(X2),X1)),
inference(superposition,[],[f331,f3519]) ).
fof(f3669,plain,
! [X2,X0,X1] : implies(not(implies(implies(X0,X1),X1)),X2) = implies(not(X0),implies(implies(X1,X0),X2)),
inference(forward_demodulation,[],[f3577,f3614]) ).
fof(f3708,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(not(X2),X1)) = implies(not(X0),implies(implies(X1,X0),X2)),
inference(forward_demodulation,[],[f3669,f3633]) ).
fof(f3726,plain,
! [X2,X0,X1] : implies(not(X1),implies(implies(X0,X1),X2)) = implies(not(X0),implies(implies(X1,X0),X2)),
inference(forward_demodulation,[],[f3708,f3614]) ).
fof(f6233,plain,
! [X0,X1] : implies(not(not(X0)),implies(implies(not(truth),not(X0)),X1)) = implies(not(not(truth)),implies(X0,X1)),
inference(superposition,[],[f3726,f3421]) ).
fof(f6486,plain,
! [X0,X1] : implies(X0,X1) = implies(not(not(X0)),implies(implies(not(truth),not(X0)),X1)),
inference(forward_demodulation,[],[f6233,f3590]) ).
fof(f6624,plain,
! [X0,X1] : implies(X0,X1) = implies(not(not(X0)),implies(truth,X1)),
inference(forward_demodulation,[],[f6486,f1963]) ).
fof(f6717,plain,
! [X0,X1] : implies(X0,X1) = implies(truth,implies(not(not(X0)),X1)),
inference(forward_demodulation,[],[f6624,f331]) ).
fof(f6750,plain,
! [X0,X1] : implies(X0,X1) = implies(not(not(X0)),X1),
inference(forward_demodulation,[],[f6717,f1]) ).
fof(f6821,plain,
! [X0,X1] : implies(X0,X1) = implies(not(X1),not(X0)),
inference(superposition,[],[f3519,f6750]) ).
fof(f7017,plain,
! [X0,X1] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(superposition,[],[f6750,f6821]) ).
fof(f7026,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),not(X1)) = implies(implies(X0,X1),not(X0)),
inference(superposition,[],[f4,f6821]) ).
fof(f7086,plain,
! [X0,X1] : implies(implies(X1,X0),not(X1)) = implies(implies(X0,X1),not(X0)),
inference(forward_demodulation,[],[f7026,f6821]) ).
fof(f7114,plain,
! [X0,X1] : implies(X0,not(implies(X0,X1))) = implies(implies(X1,X0),not(X1)),
inference(forward_demodulation,[],[f7086,f7017]) ).
fof(f7126,plain,
! [X0,X1] : implies(X0,not(implies(X0,X1))) = implies(X1,not(implies(X1,X0))),
inference(forward_demodulation,[],[f7114,f7017]) ).
fof(f7184,plain,
! [X2,X0,X1] : implies(implies(X0,X1),not(implies(implies(X0,X1),implies(X2,X1)))) = implies(implies(X2,X1),not(implies(X0,implies(implies(X1,X2),X2)))),
inference(superposition,[],[f7126,f356]) ).
fof(f7193,plain,
! [X2,X0,X1] : implies(implies(X0,X1),not(implies(implies(X0,X1),implies(implies(implies(X0,X2),X2),X1)))) = implies(implies(implies(implies(X0,X2),X2),X1),not(truth)),
inference(superposition,[],[f7126,f76]) ).
fof(f7322,plain,
! [X0,X1] : implies(X0,not(implies(X0,not(not(X1))))) = implies(X1,not(implies(not(not(X1)),X0))),
inference(superposition,[],[f6750,f7126]) ).
fof(f7327,plain,
! [X0,X1] : implies(X1,not(implies(X1,X0))) = implies(X0,not(implies(X0,not(not(X1))))),
inference(forward_demodulation,[],[f7322,f6750]) ).
fof(f7438,plain,
! [X2,X0,X1] : not(implies(implies(implies(X0,X2),X2),X1)) = implies(implies(X0,X1),not(implies(implies(X0,X1),implies(implies(implies(X0,X2),X2),X1)))),
inference(forward_demodulation,[],[f7193,f3511]) ).
fof(f7570,plain,
! [X2,X0,X1] : not(implies(implies(implies(X0,X2),X2),X1)) = implies(implies(X0,X1),not(implies(X2,implies(implies(X1,X0),X0)))),
inference(forward_demodulation,[],[f7438,f2606]) ).
fof(f7940,plain,
implies(implies(implies(x,y),y),z) != not(implies(implies(implies(y,z),not(not(implies(x,z)))),not(implies(y,z)))),
inference(superposition,[],[f16,f7017]) ).
fof(f7945,plain,
! [X0] : implies(truth,not(not(X0))) = X0,
inference(superposition,[],[f3421,f7017]) ).
fof(f7968,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f7945,f1]) ).
fof(f7972,plain,
implies(implies(implies(x,y),y),z) != not(implies(implies(y,z),not(implies(implies(y,z),not(not(implies(x,z))))))),
inference(forward_demodulation,[],[f7940,f7017]) ).
fof(f8101,plain,
implies(implies(implies(x,y),y),z) != not(implies(implies(x,z),not(implies(implies(x,z),implies(y,z))))),
inference(forward_demodulation,[],[f7972,f7327]) ).
fof(f8168,plain,
implies(implies(implies(x,y),y),z) != not(implies(implies(y,z),not(implies(x,implies(implies(z,y),y))))),
inference(forward_demodulation,[],[f8101,f7184]) ).
fof(f8186,plain,
implies(implies(implies(x,y),y),z) != not(not(implies(implies(implies(y,x),x),z))),
inference(forward_demodulation,[],[f8168,f7570]) ).
fof(f8192,plain,
implies(implies(implies(x,y),y),z) != implies(implies(implies(y,x),x),z),
inference(forward_demodulation,[],[f8186,f7968]) ).
fof(f8196,plain,
implies(implies(implies(y,x),x),z) != implies(implies(implies(y,x),x),z),
inference(forward_demodulation,[],[f8192,f4]) ).
fof(f8197,plain,
$false,
inference(trivial_inequality_removal,[],[f8196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL147-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.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 : Sun Sep 27 15:23:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.48/2.37 % (3198092)Input is clausal, will run a generic CNF schedule.
% 10.48/2.37 % (3198103)dis-21_1_sil=8000:lcm=predicate:random_seed=4141386376:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.48/2.37 % (3198103)Refutation not found, incomplete strategy
% 10.48/2.37 % (3198103)------------------------------
% 10.48/2.37 % (3198103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198103)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198103)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.37 % (3198103)Time elapsed: 0.001 s
% 10.48/2.37 % (3198103)Peak memory usage: 88 MB
% 10.48/2.37 % (3198097)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2805500075:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.48/2.37 % (3198101)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1467070171:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.48/2.37 % (3198098)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3990501774:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.48/2.37 % (3198099)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=773367854:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.48/2.37 % (3198100)lrs+10_1_sil=8000:sp=occurrence:random_seed=3019690274:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.48/2.37 % (3198102)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2829922553:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.48/2.37 % (3198100)Instruction limit reached!
% 10.48/2.37 % (3198100)------------------------------
% 10.48/2.37 % (3198100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198100)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198100)Termination reason: Instruction limit
% 10.48/2.37 % (3198100)Termination phase: Saturation
% 10.48/2.37 % (3198100)Time elapsed: 0.064 s
% 10.48/2.37 % (3198100)Peak memory usage: 89 MB
% 10.48/2.37 % (3198100)Instructions burned: 107 (million)
% 10.48/2.37 % (3198101)Instruction limit reached!
% 10.48/2.37 % (3198101)------------------------------
% 10.48/2.37 % (3198101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198101)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198101)Termination reason: Instruction limit
% 10.48/2.37 % (3198101)Termination phase: Saturation
% 10.48/2.37 % (3198101)Time elapsed: 0.069 s
% 10.48/2.37 % (3198101)Peak memory usage: 89 MB
% 10.48/2.37 % (3198101)Instructions burned: 114 (million)
% 10.48/2.37 % (3198102)Instruction limit reached!
% 10.48/2.37 % (3198102)------------------------------
% 10.48/2.37 % (3198102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198102)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198102)Termination reason: Instruction limit
% 10.48/2.37 % (3198102)Termination phase: Saturation
% 10.48/2.37 % (3198102)Time elapsed: 0.102 s
% 10.48/2.37 % (3198102)Peak memory usage: 90 MB
% 10.48/2.37 % (3198102)Instructions burned: 181 (million)
% 10.48/2.37 % (3198103)------------------------------
% 10.48/2.37 % (3198103)------------------------------
% 10.48/2.37 % (3198111)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=113127752:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.48/2.37 % (3198112)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=341876165:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.48/2.37 % (3198112)Refutation not found, incomplete strategy
% 10.48/2.37 % (3198112)------------------------------
% 10.48/2.37 % (3198112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198112)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198112)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.37 % (3198112)Time elapsed: 0.002 s
% 10.48/2.37 % (3198112)Peak memory usage: 88 MB
% 10.48/2.37 % (3198111)Refutation not found, incomplete strategy
% 10.48/2.37 % (3198111)------------------------------
% 10.48/2.37 % (3198111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198112)Instructions burned: 1 (million)
% 10.48/2.37 % (3198111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198111)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198111)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.37 % (3198111)Time elapsed: 0.002 s
% 10.48/2.37 % (3198111)Peak memory usage: 88 MB
% 10.48/2.37 % (3198111)Instructions burned: 1 (million)
% 10.48/2.37 % (3198114)lrs+10_64_to=lpo:sil=8000:random_seed=2940266371:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.48/2.37 % (3198114)Instruction limit reached!
% 10.48/2.37 % (3198114)------------------------------
% 10.48/2.37 % (3198114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198114)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198114)Termination reason: Instruction limit
% 10.48/2.37 % (3198114)Termination phase: Saturation
% 10.48/2.37 % (3198114)Time elapsed: 0.042 s
% 10.48/2.37 % (3198114)Peak memory usage: 89 MB
% 10.48/2.37 % (3198114)Instructions burned: 126 (million)
% 10.48/2.37 % (3198113)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3353437490:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.48/2.37 % (3198118)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=955208293:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.48/2.37 % (3198113)Instruction limit reached!
% 10.48/2.37 % (3198113)------------------------------
% 10.48/2.37 % (3198113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198113)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198113)Termination reason: Instruction limit
% 10.48/2.37 % (3198113)Termination phase: Saturation
% 10.48/2.37 % (3198113)Time elapsed: 0.128 s
% 10.48/2.37 % (3198113)Peak memory usage: 90 MB
% 10.48/2.37 % (3198113)Instructions burned: 220 (million)
% 10.48/2.37 % (3198111)------------------------------
% 10.48/2.37 % (3198111)------------------------------
% 10.48/2.37 % (3198112)------------------------------
% 10.48/2.37 % (3198112)------------------------------
% 10.48/2.37 % (3198118)Instruction limit reached!
% 10.48/2.37 % (3198118)------------------------------
% 10.48/2.37 % (3198118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198118)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198118)Termination reason: Instruction limit
% 10.48/2.37 % (3198118)Termination phase: Saturation
% 10.48/2.37 % (3198118)Time elapsed: 0.067 s
% 10.48/2.37 % (3198118)Peak memory usage: 90 MB
% 10.48/2.37 % (3198118)Instructions burned: 195 (million)
% 10.48/2.37 % (3198121)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3266379359:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 10.48/2.37 % (3198122)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1002691856:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 10.48/2.37 % (3198124)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2685880615:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 10.48/2.37 % (3198123)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=410597148:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.48/2.37 % (3198124)Refutation not found, incomplete strategy
% 10.48/2.37 % (3198124)------------------------------
% 10.48/2.37 % (3198124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198124)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198124)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.37 % (3198124)Time elapsed: 0.001 s
% 10.48/2.37 % (3198124)Peak memory usage: 87 MB
% 10.48/2.37 % (3198121)Instruction limit reached!
% 10.48/2.37 % (3198121)------------------------------
% 10.48/2.37 % (3198121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198121)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198121)Termination reason: Instruction limit
% 10.48/2.37 % (3198121)Termination phase: Saturation
% 10.48/2.37 % (3198121)Time elapsed: 0.098 s
% 10.48/2.37 % (3198121)Peak memory usage: 91 MB
% 10.48/2.37 % (3198121)Instructions burned: 158 (million)
% 10.48/2.37 % (3198123)Instruction limit reached!
% 10.48/2.37 % (3198123)------------------------------
% 10.48/2.37 % (3198123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198123)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198123)Termination reason: Instruction limit
% 10.48/2.37 % (3198123)Termination phase: Saturation
% 10.48/2.37 % (3198123)Time elapsed: 0.068 s
% 10.48/2.37 % (3198123)Peak memory usage: 88 MB
% 10.48/2.37 % (3198123)Instructions burned: 107 (million)
% 10.48/2.37 % (3198129)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3527668944:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 10.48/2.37 % (3198130)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1431093629:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 10.48/2.37 % (3198124)------------------------------
% 10.48/2.37 % (3198124)------------------------------
% 10.48/2.37 % (3198129)Instruction limit reached!
% 10.48/2.37 % (3198129)------------------------------
% 10.48/2.37 % (3198129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198129)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198129)Termination reason: Instruction limit
% 10.48/2.37 % (3198129)Termination phase: Saturation
% 10.48/2.37 % (3198129)Time elapsed: 0.136 s
% 10.48/2.37 % (3198129)Peak memory usage: 90 MB
% 10.48/2.37 % (3198129)Instructions burned: 242 (million)
% 10.48/2.37 % (3198133)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3487768751:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 10.48/2.37 % (3198098)First to succeed.
% 10.48/2.37 % (3198098)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3198092"
% 10.48/2.37 % (3198134)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3803301097:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 10.48/2.37 % (3198133)Instruction limit reached!
% 10.48/2.37 % (3198133)------------------------------
% 10.48/2.37 % (3198133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.37 % (3198133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.37 % (3198133)CaDiCaL version: 2.1.3
% 10.48/2.37 % (3198133)Termination reason: Instruction limit
% 10.48/2.37 % (3198133)Termination phase: Saturation
% 10.48/2.37 % (3198133)Time elapsed: 0.080 s
% 10.48/2.37 % (3198133)Peak memory usage: 89 MB
% 10.48/2.37 % (3198133)Instructions burned: 135 (million)
% 10.48/2.37 % (3198137)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3925734000:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 10.48/2.37 % (3198098)Refutation found. Thanks to Tanya!
% 10.48/2.37 % SZS status Unsatisfiable for theBenchmark
% 10.48/2.37 % SZS output start Proof for theBenchmark
% See solution above
% 11.18/2.46 % (3198098)------------------------------
% 11.18/2.46 % (3198098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.46 % (3198098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.46 % (3198098)CaDiCaL version: 2.1.3
% 11.18/2.46 % (3198098)Termination reason: Refutation
% 11.18/2.46 % (3198098)Time elapsed: 1.087 s
% 11.18/2.46 % (3198098)Peak memory usage: 134 MB
% 11.18/2.46 % (3198098)Instructions burned: 1729 (million)
% 11.18/2.46 % (3198098)------------------------------
% 11.18/2.46 % (3198098)------------------------------
% 11.18/2.46 % (3198092)Success in time 1.519 s
% 11.18/2.46 % Vampire exiting
%------------------------------------------------------------------------------