%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL008-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:33:40 PM UTC 2026
% Result : Unsatisfiable 5.53s 7.14s
% Output : Refutation 9.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 14
% Syntax : Number of formulae : 100 ( 89 unt; 0 def)
% Number of atoms : 111 ( 110 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 27 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 169 ( 169 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
( join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) != composition(sk1,join(sk2,sk3))
| join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
( join(composition(sk1,sk2),composition(sk1,sk3)) != join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3))
| composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f20,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f40,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f55,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f124,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f20,f8]) ).
fof(f129,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f124,f10]) ).
fof(f136,plain,
one = converse(one),
inference(superposition,[],[f8,f129]) ).
fof(f150,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f129,f136]) ).
fof(f164,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f174,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f177,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f184,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,complement(join(complement(X0),complement(X2))))),
inference(superposition,[],[f55,f4]) ).
fof(f185,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f187,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f188,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f185,f55]) ).
fof(f193,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f177,f1]) ).
fof(f196,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f174,f1]) ).
fof(f286,plain,
zero = complement(top),
inference(superposition,[],[f19,f15]) ).
fof(f353,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f40,f12]) ).
fof(f363,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f353,f11]) ).
fof(f374,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f363,f11]) ).
fof(f382,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f374,f12]) ).
fof(f401,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f382]) ).
fof(f413,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f401,f10]) ).
fof(f442,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f413,f8]) ).
fof(f458,plain,
! [X0,X1] : composition(join(X0,X0),X1) = composition(X0,join(X1,X1)),
inference(superposition,[],[f9,f413]) ).
fof(f461,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f2,f413]) ).
fof(f491,plain,
! [X0] : join(X0,X0) = composition(X0,join(one,one)),
inference(superposition,[],[f442,f8]) ).
fof(f561,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f14,f129]) ).
fof(f575,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f561,f1]) ).
fof(f587,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f575,f150]) ).
fof(f606,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f188,f587]) ).
fof(f610,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f606,f187]) ).
fof(f838,plain,
! [X2,X0,X1] : join(composition(X0,join(X1,X2)),complement(composition(X0,X2))) = join(composition(X0,X1),top),
inference(superposition,[],[f461,f15]) ).
fof(f865,plain,
! [X2,X0,X1] : join(composition(X0,join(X1,X2)),complement(composition(X0,X2))) = join(top,composition(X0,X1)),
inference(forward_demodulation,[],[f838,f1]) ).
fof(f884,plain,
! [X2,X0,X1] : join(top,composition(X0,X1)) = join(complement(composition(X0,X2)),composition(X0,join(X1,X2))),
inference(forward_demodulation,[],[f865,f1]) ).
fof(f933,plain,
! [X2,X0,X1] : join(top,composition(X1,complement(join(complement(X0),complement(X2))))) = join(complement(composition(X1,complement(join(complement(X0),X2)))),composition(X1,X0)),
inference(superposition,[],[f884,f4]) ).
fof(f937,plain,
! [X0,X1] : join(top,composition(X1,complement(X0))) = join(complement(composition(X1,complement(X0))),composition(X1,complement(X0))),
inference(superposition,[],[f884,f587]) ).
fof(f972,plain,
! [X0,X1] : join(top,composition(X1,complement(X0))) = join(composition(X1,complement(X0)),complement(composition(X1,complement(X0)))),
inference(forward_demodulation,[],[f937,f1]) ).
fof(f976,plain,
! [X2,X0,X1] : join(top,composition(X1,complement(join(complement(X0),complement(X2))))) = join(composition(X1,X0),complement(composition(X1,complement(join(complement(X0),X2))))),
inference(forward_demodulation,[],[f933,f1]) ).
fof(f989,plain,
! [X0,X1] : top = join(top,composition(X1,complement(X0))),
inference(forward_demodulation,[],[f972,f15]) ).
fof(f1657,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f610,f19]) ).
fof(f1666,plain,
! [X2,X0,X1] : join(complement(composition(X1,complement(join(complement(X0),complement(X2))))),composition(X1,X0)) = join(top,composition(X1,X0)),
inference(superposition,[],[f884,f610]) ).
fof(f1691,plain,
! [X2,X0,X1] : join(composition(X1,X0),complement(composition(X1,complement(join(complement(X0),complement(X2)))))) = join(top,composition(X1,X0)),
inference(forward_demodulation,[],[f1666,f1]) ).
fof(f1711,plain,
! [X2,X0,X1] : join(top,composition(X1,X0)) = join(top,composition(X1,complement(join(complement(X0),complement(complement(X2)))))),
inference(forward_demodulation,[],[f1691,f976]) ).
fof(f1719,plain,
! [X0,X1] : top = join(top,composition(X1,X0)),
inference(forward_demodulation,[],[f1711,f989]) ).
fof(f1741,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1,f1657]) ).
fof(f1777,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1719,f129]) ).
fof(f1807,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[],[f193,f1777]) ).
fof(f1809,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f1807,f286]) ).
fof(f1818,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f1809,f1741]) ).
fof(f1821,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(forward_demodulation,[],[f1818,f1]) ).
fof(f1822,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1821,f1741]) ).
fof(f1838,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f196,f1822]) ).
fof(f1841,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f587,f1822]) ).
fof(f1870,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f55,f1841]) ).
fof(f2067,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(join(complement(complement(X1)),X0),X1)),complement(join(top,X0))),
inference(superposition,[],[f1838,f164]) ).
fof(f2114,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(join(complement(complement(X1)),X0),X1))),
inference(forward_demodulation,[],[f2067,f1]) ).
fof(f2169,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(X1,join(complement(complement(X1)),X0)))),
inference(forward_demodulation,[],[f2114,f1]) ).
fof(f2206,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(top,X0)),complement(join(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f2169,f1822]) ).
fof(f2233,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(top,X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f2206,f1870]) ).
fof(f2254,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(top),complement(join(X0,X1))),
inference(forward_demodulation,[],[f2233,f1777]) ).
fof(f2267,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2254,f286]) ).
fof(f2275,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f2267,f1741]) ).
fof(f2355,plain,
! [X2,X3,X0,X1] : join(join(X1,X0),X2) = join(complement(join(complement(join(X0,X1)),X3)),join(X2,complement(join(complement(join(X0,X1)),complement(X3))))),
inference(superposition,[],[f188,f2275]) ).
fof(f2377,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X2,join(X0,X1)),
inference(forward_demodulation,[],[f2355,f184]) ).
fof(f2511,plain,
( join(composition(sk1,sk2),composition(sk1,sk3)) != join(composition(sk1,sk3),join(composition(sk1,sk2),composition(sk1,join(sk2,sk3))))
| composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) ),
inference(superposition,[],[f18,f2377]) ).
fof(f2518,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f1,f2377]) ).
fof(f2598,plain,
( join(composition(sk1,sk2),composition(sk1,sk3)) != join(composition(sk1,sk2),join(composition(sk1,join(sk2,sk3)),composition(sk1,sk3)))
| composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) ),
inference(forward_demodulation,[],[f2511,f55]) ).
fof(f2693,plain,
( join(composition(sk1,sk2),composition(sk1,sk3)) != join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3))))
| composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) ),
inference(forward_demodulation,[],[f2598,f2518]) ).
fof(f2748,plain,
( join(composition(sk1,sk2),composition(sk1,sk3)) != join(composition(sk1,join(sk2,sk3)),composition(sk1,join(sk2,sk3)))
| composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) ),
inference(forward_demodulation,[],[f2693,f461]) ).
fof(f2768,plain,
( join(composition(sk1,sk2),composition(sk1,sk3)) != composition(composition(sk1,join(sk2,sk3)),join(one,one))
| composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) ),
inference(forward_demodulation,[],[f2748,f491]) ).
fof(f2776,plain,
( join(composition(sk1,sk2),composition(sk1,sk3)) != composition(sk1,composition(join(sk2,sk3),join(one,one)))
| composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) ),
inference(forward_demodulation,[],[f2768,f7]) ).
fof(f2780,plain,
( join(composition(sk1,sk2),composition(sk1,sk3)) != composition(sk1,join(join(sk2,sk3),join(sk2,sk3)))
| composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) ),
inference(forward_demodulation,[],[f2776,f491]) ).
fof(f2782,plain,
( join(composition(sk1,sk2),composition(sk1,sk3)) != composition(join(sk1,sk1),join(sk2,sk3))
| composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) ),
inference(forward_demodulation,[],[f2780,f458]) ).
fof(f2783,plain,
( join(composition(sk1,sk2),composition(sk1,sk3)) != composition(sk1,join(sk2,sk3))
| composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) ),
inference(forward_demodulation,[],[f2782,f1841]) ).
fof(f2784,plain,
composition(sk1,join(sk2,sk3)) != join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))),
inference(forward_subsumption_resolution,[],[f2783,f413]) ).
fof(f2785,plain,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,join(sk2,sk3)),join(composition(sk1,sk2),composition(sk1,sk3))),
inference(forward_demodulation,[],[f2784,f1]) ).
fof(f2786,plain,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk3),join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2))),
inference(forward_demodulation,[],[f2785,f55]) ).
fof(f2787,plain,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))),
inference(forward_demodulation,[],[f2786,f55]) ).
fof(f2788,plain,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,join(sk2,sk3)),composition(sk1,join(sk2,sk3))),
inference(forward_demodulation,[],[f2787,f461]) ).
fof(f2789,plain,
$false,
inference(forward_subsumption_resolution,[],[f2788,f1841]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL008-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.40 % Computer : n006.cluster.edu
% 0.15/5.40 % Model : x86_64 x86_64
% 0.15/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.40 % Memory : 8046.5625MB
% 0.15/5.40 % OS : Linux 6.8.0-71-generic
% 0.15/5.40 % CPULimit : 300
% 0.15/5.40 % WCLimit : 300
% 0.15/5.40 % DateTime : Sun Sep 27 22:50:20 UTC 2026
% 0.15/5.41 % CPUTime :
% 0.15/5.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 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
% 5.53/7.14 % (3413941)Input is clausal, will run a generic CNF schedule.
% 5.53/7.14 % (3413949)lrs+10_1_sil=8000:sp=occurrence:random_seed=2824858797:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.53/7.14 % (3413951)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3450273809:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.53/7.14 % (3413947)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1354735864:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.53/7.14 % (3413946)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=3319181279:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.53/7.14 % (3413948)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4220174269:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.53/7.14 % (3413949)Instruction limit reached!
% 5.53/7.14 % (3413949)------------------------------
% 5.53/7.14 % (3413949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3413949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3413949)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3413949)Termination reason: Instruction limit
% 5.53/7.14 % (3413949)Termination phase: Saturation
% 5.53/7.14 % (3413949)Time elapsed: 0.037 s
% 5.53/7.14 % (3413949)Peak memory usage: 89 MB
% 5.53/7.14 % (3413949)Instructions burned: 110 (million)
% 5.53/7.14 % (3413950)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3735537482:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.53/7.14 % (3413952)dis-21_1_sil=8000:lcm=predicate:random_seed=636451681: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)
% 5.53/7.14 % (3413952)Refutation not found, incomplete strategy
% 5.53/7.14 % (3413952)------------------------------
% 5.53/7.14 % (3413952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3413952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3413952)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3413952)Termination reason: Refutation not found, incomplete strategy
% 5.53/7.14 % (3413952)Time elapsed: 0.001 s
% 5.53/7.14 % (3413952)Peak memory usage: 88 MB
% 5.53/7.14 % (3413952)Instructions burned: 1 (million)
% 5.53/7.14 % (3413950)Instruction limit reached!
% 5.53/7.14 % (3413950)------------------------------
% 5.53/7.14 % (3413950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3413950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3413950)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3413950)Termination reason: Instruction limit
% 5.53/7.14 % (3413950)Termination phase: Saturation
% 5.53/7.14 % (3413950)Time elapsed: 0.079 s
% 5.53/7.14 % (3413950)Peak memory usage: 89 MB
% 5.53/7.14 % (3413950)Instructions burned: 114 (million)
% 5.53/7.14 % (3413959)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=2470681096:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.53/7.14 % (3413959)Refutation not found, incomplete strategy
% 5.53/7.14 % (3413959)------------------------------
% 5.53/7.14 % (3413959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3413959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3413959)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3413959)Termination reason: Refutation not found, incomplete strategy
% 5.53/7.14 % (3413959)Time elapsed: 0.001 s
% 5.53/7.14 % (3413959)Peak memory usage: 88 MB
% 5.53/7.14 % (3413959)Instructions burned: 1 (million)
% 5.53/7.14 % (3413951)Instruction limit reached!
% 5.53/7.14 % (3413951)------------------------------
% 5.53/7.14 % (3413951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3413951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3413951)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3413951)Termination reason: Instruction limit
% 5.53/7.14 % (3413951)Termination phase: Saturation
% 5.53/7.14 % (3413951)Time elapsed: 0.110 s
% 5.53/7.14 % (3413951)Peak memory usage: 90 MB
% 5.53/7.14 % (3413951)Instructions burned: 181 (million)
% 5.53/7.14 % (3413966)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3560152342:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.53/7.14 % (3413964)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1205798326: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)
% 5.53/7.14 % (3413966)Refutation not found, incomplete strategy
% 5.53/7.14 % (3413966)------------------------------
% 5.53/7.14 % (3413966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3413966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3413966)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3413966)Termination reason: Refutation not found, incomplete strategy
% 5.53/7.14 % (3413966)Time elapsed: 0.001 s
% 5.53/7.14 % (3413966)Peak memory usage: 88 MB
% 5.53/7.14 % (3413966)Instructions burned: 1 (million)
% 5.53/7.14 % (3413964)Refutation not found, incomplete strategy
% 5.53/7.14 % (3413964)------------------------------
% 5.53/7.14 % (3413964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3413964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3413964)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3413964)Termination reason: Refutation not found, incomplete strategy
% 5.53/7.14 % (3413964)Time elapsed: 0.002 s
% 5.53/7.14 % (3413964)Peak memory usage: 88 MB
% 5.53/7.14 % (3413964)Instructions burned: 1 (million)
% 5.53/7.14 % (3413959)------------------------------
% 5.53/7.14 % (3413959)------------------------------
% 5.53/7.14 % (3413952)------------------------------
% 5.53/7.14 % (3413952)------------------------------
% 5.53/7.14 % (3413974)lrs+10_64_to=lpo:sil=8000:random_seed=2361226389:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.53/7.14 % (3413974)Instruction limit reached!
% 5.53/7.14 % (3413974)------------------------------
% 5.53/7.14 % (3413974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3413974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3413974)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3413974)Termination reason: Instruction limit
% 5.53/7.14 % (3413974)Termination phase: Saturation
% 5.53/7.14 % (3413974)Time elapsed: 0.041 s
% 5.53/7.14 % (3413974)Peak memory usage: 89 MB
% 5.53/7.14 % (3413974)Instructions burned: 126 (million)
% 5.53/7.14 % (3413975)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1802410604:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.53/7.14 % (3413966)------------------------------
% 5.53/7.14 % (3413966)------------------------------
% 5.53/7.14 % (3413964)------------------------------
% 5.53/7.14 % (3413964)------------------------------
% 5.53/7.14 % (3413978)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=507335161:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.53/7.14 % (3413975)Instruction limit reached!
% 5.53/7.14 % (3413975)------------------------------
% 5.53/7.14 % (3413975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3413975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3413975)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3413975)Termination reason: Instruction limit
% 5.53/7.14 % (3413975)Termination phase: Saturation
% 5.53/7.14 % (3413975)Time elapsed: 0.125 s
% 5.53/7.14 % (3413975)Peak memory usage: 90 MB
% 5.53/7.14 % (3413975)Instructions burned: 194 (million)
% 5.53/7.14 % (3413978)Instruction limit reached!
% 5.53/7.14 % (3413978)------------------------------
% 5.53/7.14 % (3413978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3413978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3413978)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3413978)Termination reason: Instruction limit
% 5.53/7.14 % (3413978)Termination phase: Saturation
% 5.53/7.14 % (3413978)Time elapsed: 0.054 s
% 5.53/7.14 % (3413978)Peak memory usage: 91 MB
% 5.53/7.14 % (3413978)Instructions burned: 158 (million)
% 5.53/7.14 % (3414002)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2407083082:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.53/7.14 % (3414004)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=3573263662:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.53/7.14 % (3414017)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4240894224:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 5.53/7.14 % (3414016)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1410099154:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 5.53/7.14 % (3414016)Refutation not found, incomplete strategy
% 5.53/7.14 % (3414016)------------------------------
% 5.53/7.14 % (3414016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3414016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3414016)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3414016)Termination reason: Refutation not found, incomplete strategy
% 5.53/7.14 % (3414016)Time elapsed: 0.002 s
% 5.53/7.14 % (3414016)Peak memory usage: 88 MB
% 5.53/7.14 % (3414016)Instructions burned: 1 (million)
% 5.53/7.14 % (3414004)Instruction limit reached!
% 5.53/7.14 % (3414004)------------------------------
% 5.53/7.14 % (3414004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3414004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3414004)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3414004)Termination reason: Instruction limit
% 5.53/7.14 % (3414004)Termination phase: Saturation
% 5.53/7.14 % (3414004)Time elapsed: 0.064 s
% 5.53/7.14 % (3414004)Peak memory usage: 89 MB
% 5.53/7.14 % (3414004)Instructions burned: 107 (million)
% 5.53/7.14 % (3414017)Instruction limit reached!
% 5.53/7.14 % (3414017)------------------------------
% 5.53/7.14 % (3414017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3414017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3414017)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3414017)Termination reason: Instruction limit
% 5.53/7.14 % (3414017)Termination phase: Saturation
% 5.53/7.14 % (3414017)Time elapsed: 0.066 s
% 5.53/7.14 % (3414017)Peak memory usage: 89 MB
% 5.53/7.14 % (3414017)Instructions burned: 245 (million)
% 5.53/7.14 % (3414023)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3011317546:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 5.53/7.14 % (3414022)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2127247804:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 5.53/7.14 % (3414023)Instruction limit reached!
% 5.53/7.14 % (3414023)------------------------------
% 5.53/7.14 % (3414023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3414023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3414023)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3414023)Termination reason: Instruction limit
% 5.53/7.14 % (3414023)Termination phase: Saturation
% 5.53/7.14 % (3414023)Time elapsed: 0.040 s
% 5.53/7.14 % (3414023)Peak memory usage: 89 MB
% 5.53/7.14 % (3414023)Instructions burned: 136 (million)
% 5.53/7.14 % (3413947)First to succeed.
% 5.53/7.14 % (3413947)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3413941"
% 5.53/7.14 % (3413948)Also succeeded, but the first one will report.
% 5.53/7.14 % (3414016)------------------------------
% 5.53/7.14 % (3414016)------------------------------
% 5.53/7.14 % (3414033)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=215476257:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 5.53/7.14 % (3413946)Also succeeded, but the first one will report.
% 5.53/7.14 % (3414035)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2269440262:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 5.53/7.14 % (3414033)Instruction limit reached!
% 5.53/7.14 % (3414033)------------------------------
% 5.53/7.14 % (3414033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/7.14 % (3414033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/7.14 % (3414033)CaDiCaL version: 2.1.3
% 5.53/7.14 % (3414033)Termination reason: Instruction limit
% 5.53/7.14 % (3414033)Termination phase: Saturation
% 5.53/7.14 % (3414033)Time elapsed: 0.174 s
% 5.53/7.14 % (3414033)Peak memory usage: 93 MB
% 5.53/7.14 % (3414033)Instructions burned: 501 (million)
% 5.53/7.14 % (3413947)Refutation found. Thanks to Tanya!
% 5.53/7.14 % SZS status Unsatisfiable for theBenchmark
% 5.53/7.14 % SZS output start Proof for theBenchmark
% See solution above
% 9.48/7.34 % (3413947)------------------------------
% 9.48/7.34 % (3413947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.48/7.34 % (3413947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.48/7.34 % (3413947)CaDiCaL version: 2.1.3
% 9.48/7.34 % (3413947)Termination reason: Refutation
% 9.48/7.34 % (3413947)Time elapsed: 0.847 s
% 9.48/7.34 % (3413947)Peak memory usage: 131 MB
% 9.48/7.34 % (3413947)Instructions burned: 1282 (million)
% 9.48/7.34 % (3413947)------------------------------
% 9.48/7.34 % (3413947)------------------------------
% 9.48/7.34 % (3413941)Success in time 1.265 s
% 9.48/7.34 % Vampire exiting
%------------------------------------------------------------------------------