%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP050-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 02:34:07 PM UTC 2026
% Result : Unsatisfiable 3.20s 0.92s
% Output : Refutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 101
% Number of leaves : 35
% Syntax : Number of formulae : 310 ( 310 unt; 0 def)
% Number of atoms : 310 ( 309 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 51 ( 51 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 32 con; 0-31 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle) ).
fof(f2,axiom,
! [X0,X1] : product(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_01) ).
fof(f3,axiom,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).
fof(f4,axiom,
product(a1,a31) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot) ).
fof(f5,axiom,
product(a2,a25) = a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_03) ).
fof(f6,axiom,
product(a3,a29) = a4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_04) ).
fof(f7,axiom,
product(a4,a11) = a5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_05) ).
fof(f8,axiom,
product(a5,a15) = a6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_06) ).
fof(f9,axiom,
product(a7,a19) = a8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_07) ).
fof(f10,axiom,
product(a8,a5) = a9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_08) ).
fof(f11,axiom,
product(a9,a17) = a10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_09) ).
fof(f12,axiom,
product(a10,a7) = a11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_10) ).
fof(f13,plain,
a11 = product(a10,a7),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
product(a11,a5) = a12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_11) ).
fof(f15,axiom,
product(a12,a19) = a13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_12) ).
fof(f16,axiom,
product(a13,a7) = a14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_13) ).
fof(f17,axiom,
product(a14,a17) = a15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_14) ).
fof(f18,plain,
a15 = product(a14,a17),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
product(a15,a5) = a16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_15) ).
fof(f20,axiom,
product(a16,a19) = a17,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_16) ).
fof(f21,plain,
a17 = product(a16,a19),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
product(a17,a9) = a18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_17) ).
fof(f23,axiom,
product(a18,a15) = a19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_18) ).
fof(f24,plain,
a19 = product(a18,a15),
inference(reorient_equations,[],[f23]) ).
fof(f25,axiom,
product(a19,a11) = a20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_19) ).
fof(f26,axiom,
product(a20,a29) = a21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_20) ).
fof(f27,axiom,
product(a21,a25) = a22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_21) ).
fof(f28,axiom,
product(a22,a31) = a23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_22) ).
fof(f29,axiom,
product(a23,a21) = a24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_23) ).
fof(f30,axiom,
product(a24,a3) = a25,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_24) ).
fof(f31,plain,
a25 = product(a24,a3),
inference(reorient_equations,[],[f30]) ).
fof(f32,axiom,
product(a25,a23) = a26,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_25) ).
fof(f33,axiom,
product(a26,a1) = a27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_26) ).
fof(f34,axiom,
product(a27,a21) = a28,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_27) ).
fof(f35,axiom,
product(a28,a3) = a29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_28) ).
fof(f36,plain,
a29 = product(a28,a3),
inference(reorient_equations,[],[f35]) ).
fof(f37,axiom,
product(a29,a1) = a30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_29) ).
fof(f38,axiom,
product(a30,a23) = a31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_30) ).
fof(f39,plain,
a31 = product(a30,a23),
inference(reorient_equations,[],[f38]) ).
fof(f40,axiom,
product(a31,a3) = a32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_31) ).
fof(f41,axiom,
product(a32,a21) = a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_32) ).
fof(f42,plain,
a1 = product(a32,a21),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f45,plain,
a1 = product(a2,a31),
inference(superposition,[],[f2,f4]) ).
fof(f46,plain,
a31 = product(a32,a3),
inference(superposition,[],[f2,f40]) ).
fof(f47,plain,
a2 = product(a3,a25),
inference(superposition,[],[f2,f5]) ).
fof(f48,plain,
a25 = product(a26,a23),
inference(superposition,[],[f2,f32]) ).
fof(f50,plain,
a29 = product(a30,a1),
inference(superposition,[],[f2,f37]) ).
fof(f51,plain,
a4 = product(a5,a11),
inference(superposition,[],[f2,f7]) ).
fof(f52,plain,
a11 = product(a12,a5),
inference(superposition,[],[f2,f14]) ).
fof(f54,plain,
a15 = product(a16,a5),
inference(superposition,[],[f2,f19]) ).
fof(f55,plain,
a7 = product(a8,a19),
inference(superposition,[],[f2,f9]) ).
fof(f56,plain,
a19 = product(a20,a11),
inference(superposition,[],[f2,f25]) ).
fof(f57,plain,
a8 = product(a9,a5),
inference(superposition,[],[f2,f10]) ).
fof(f58,plain,
a9 = product(a10,a17),
inference(superposition,[],[f2,f11]) ).
fof(f59,plain,
a17 = product(a18,a9),
inference(superposition,[],[f2,f22]) ).
fof(f60,plain,
a10 = product(a11,a7),
inference(superposition,[],[f2,f13]) ).
fof(f61,plain,
a12 = product(a13,a19),
inference(superposition,[],[f2,f15]) ).
fof(f63,plain,
a14 = product(a15,a17),
inference(superposition,[],[f2,f18]) ).
fof(f64,plain,
a16 = product(a17,a19),
inference(superposition,[],[f2,f21]) ).
fof(f65,plain,
a18 = product(a19,a15),
inference(superposition,[],[f2,f24]) ).
fof(f66,plain,
a20 = product(a21,a29),
inference(superposition,[],[f2,f26]) ).
fof(f67,plain,
a21 = product(a22,a25),
inference(superposition,[],[f2,f27]) ).
fof(f68,plain,
a22 = product(a23,a31),
inference(superposition,[],[f2,f28]) ).
fof(f70,plain,
a24 = product(a25,a3),
inference(superposition,[],[f2,f31]) ).
fof(f71,plain,
a26 = product(a27,a1),
inference(superposition,[],[f2,f33]) ).
fof(f73,plain,
a28 = product(a29,a3),
inference(superposition,[],[f2,f36]) ).
fof(f74,plain,
a30 = product(a31,a23),
inference(superposition,[],[f2,f39]) ).
fof(f75,plain,
a32 = product(a1,a21),
inference(superposition,[],[f2,f42]) ).
fof(f83,plain,
! [X0,X1] : product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(superposition,[],[f3,f1]) ).
fof(f84,plain,
! [X2,X0,X1] : product(product(product(X0,X1),X2),X1) = product(X0,product(X2,X1)),
inference(superposition,[],[f3,f2]) ).
fof(f86,plain,
! [X0] : product(product(a1,X0),a31) = product(a2,product(X0,a31)),
inference(superposition,[],[f3,f4]) ).
fof(f90,plain,
! [X0] : product(product(a25,X0),a23) = product(a26,product(X0,a23)),
inference(superposition,[],[f3,f32]) ).
fof(f94,plain,
! [X0] : product(product(a4,X0),a11) = product(a5,product(X0,a11)),
inference(superposition,[],[f3,f7]) ).
fof(f96,plain,
! [X0] : product(product(a11,X0),a5) = product(a12,product(X0,a5)),
inference(superposition,[],[f3,f14]) ).
fof(f108,plain,
! [X0] : product(product(a14,X0),a17) = product(a15,product(X0,a17)),
inference(superposition,[],[f3,f18]) ).
fof(f116,plain,
! [X0] : product(product(a26,X0),a1) = product(a27,product(X0,a1)),
inference(superposition,[],[f3,f33]) ).
fof(f118,plain,
! [X0] : product(product(a27,X0),a21) = product(a28,product(X0,a21)),
inference(superposition,[],[f3,f34]) ).
fof(f119,plain,
! [X0] : product(product(a28,X0),a3) = product(a29,product(X0,a3)),
inference(superposition,[],[f3,f36]) ).
fof(f122,plain,
! [X0] : product(product(a32,X0),a21) = product(a1,product(X0,a21)),
inference(superposition,[],[f3,f42]) ).
fof(f126,plain,
! [X0] : product(product(X0,a1),a31) = product(product(X0,a31),a2),
inference(superposition,[],[f3,f4]) ).
fof(f136,plain,
! [X0] : product(product(X0,a11),a5) = product(product(X0,a5),a12),
inference(superposition,[],[f3,f14]) ).
fof(f140,plain,
! [X0] : product(product(X0,a7),a19) = product(product(X0,a19),a8),
inference(superposition,[],[f3,f9]) ).
fof(f142,plain,
! [X0] : product(product(X0,a8),a5) = product(product(X0,a5),a9),
inference(superposition,[],[f3,f10]) ).
fof(f153,plain,
! [X0] : product(product(X0,a22),a31) = product(product(X0,a31),a23),
inference(superposition,[],[f3,f28]) ).
fof(f154,plain,
! [X0] : product(product(X0,a23),a21) = product(product(X0,a21),a24),
inference(superposition,[],[f3,f29]) ).
fof(f163,plain,
! [X0] : product(product(X0,a32),a3) = product(product(X0,a3),a31),
inference(superposition,[],[f3,f46]) ).
fof(f204,plain,
! [X0] : product(product(X0,a17),a19) = product(product(X0,a19),a16),
inference(superposition,[],[f3,f64]) ).
fof(f222,plain,
! [X0] : product(product(X0,a25),a3) = product(product(X0,a3),a24),
inference(superposition,[],[f3,f70]) ).
fof(f244,plain,
product(a1,product(a21,a1)) = product(a32,a1),
inference(superposition,[],[f83,f75]) ).
fof(f246,plain,
product(a31,product(a23,a31)) = product(a30,a31),
inference(superposition,[],[f83,f74]) ).
fof(f255,plain,
product(a4,product(a11,a4)) = product(a5,a4),
inference(superposition,[],[f83,f7]) ).
fof(f260,plain,
product(a5,product(a11,a5)) = product(a4,a5),
inference(superposition,[],[f83,f51]) ).
fof(f303,plain,
product(a32,product(a21,a32)) = product(a1,a32),
inference(superposition,[],[f83,f42]) ).
fof(f321,plain,
product(a4,a5) = product(a5,a12),
inference(forward_demodulation,[],[f260,f14]) ).
fof(f328,plain,
product(a30,a31) = product(a31,a22),
inference(forward_demodulation,[],[f246,f68]) ).
fof(f820,plain,
product(a5,product(product(a11,a4),a11)) = product(product(a5,a4),a11),
inference(superposition,[],[f94,f255]) ).
fof(f837,plain,
product(product(a5,a4),a11) = product(a5,product(a11,product(a4,a11))),
inference(forward_demodulation,[],[f820,f83]) ).
fof(f838,plain,
product(a5,product(a11,a5)) = product(product(a5,a4),a11),
inference(forward_demodulation,[],[f837,f7]) ).
fof(f839,plain,
product(a5,a12) = product(product(a5,a4),a11),
inference(forward_demodulation,[],[f838,f14]) ).
fof(f1576,plain,
product(a28,product(a1,a21)) = product(a26,a21),
inference(superposition,[],[f118,f71]) ).
fof(f1592,plain,
product(a26,a21) = product(a28,a32),
inference(forward_demodulation,[],[f1576,f75]) ).
fof(f1605,plain,
product(a29,product(a32,a3)) = product(product(a26,a21),a3),
inference(superposition,[],[f119,f1592]) ).
fof(f1616,plain,
product(product(a26,a21),a3) = product(a29,a31),
inference(forward_demodulation,[],[f1605,f46]) ).
fof(f1640,plain,
product(a26,a21) = product(product(a29,a31),a3),
inference(superposition,[],[f2,f1616]) ).
fof(f1692,plain,
product(a1,product(product(a21,a32),a21)) = product(product(a1,a32),a21),
inference(superposition,[],[f122,f303]) ).
fof(f1706,plain,
product(product(a1,a32),a21) = product(a1,product(a21,product(a32,a21))),
inference(forward_demodulation,[],[f1692,f83]) ).
fof(f1707,plain,
product(a1,product(a21,a1)) = product(product(a1,a32),a21),
inference(forward_demodulation,[],[f1706,f42]) ).
fof(f1708,plain,
product(a32,a1) = product(product(a1,a32),a21),
inference(forward_demodulation,[],[f1707,f244]) ).
fof(f1723,plain,
product(a30,a31) = product(product(a29,a31),a2),
inference(superposition,[],[f126,f37]) ).
fof(f1742,plain,
product(a31,a22) = product(product(a29,a31),a2),
inference(forward_demodulation,[],[f1723,f328]) ).
fof(f2049,plain,
product(product(a5,a12),a5) = product(product(product(a5,a4),a5),a12),
inference(superposition,[],[f136,f839]) ).
fof(f2078,plain,
product(product(a5,a12),a5) = product(product(a5,product(a4,a5)),a12),
inference(forward_demodulation,[],[f2049,f83]) ).
fof(f2087,plain,
product(product(a5,a12),a5) = product(product(a5,product(a5,a12)),a12),
inference(forward_demodulation,[],[f2078,f321]) ).
fof(f2091,plain,
product(a5,product(a12,a5)) = product(product(a5,product(a5,a12)),a12),
inference(forward_demodulation,[],[f2087,f83]) ).
fof(f2094,plain,
product(a5,a11) = product(product(a5,product(a5,a12)),a12),
inference(forward_demodulation,[],[f2091,f52]) ).
fof(f2096,plain,
a4 = product(product(a5,product(a5,a12)),a12),
inference(forward_demodulation,[],[f2094,f51]) ).
fof(f2241,plain,
product(product(a11,a19),a8) = product(a10,a19),
inference(superposition,[],[f140,f60]) ).
fof(f2243,plain,
product(product(a13,a19),a8) = product(a14,a19),
inference(superposition,[],[f140,f16]) ).
fof(f2268,plain,
product(a14,a19) = product(a12,a8),
inference(forward_demodulation,[],[f2243,f61]) ).
fof(f2314,plain,
product(a15,product(a19,a17)) = product(product(a12,a8),a17),
inference(superposition,[],[f108,f2268]) ).
fof(f2746,plain,
product(a25,a21) = product(product(a26,a21),a24),
inference(superposition,[],[f154,f48]) ).
fof(f2747,plain,
product(a31,a21) = product(product(a30,a21),a24),
inference(superposition,[],[f154,f39]) ).
fof(f3418,plain,
! [X0,X1] : product(X0,product(X0,X1)) = product(product(X0,product(X1,X0)),X1),
inference(superposition,[],[f84,f83]) ).
fof(f9578,plain,
product(a9,a19) = product(product(a10,a19),a16),
inference(superposition,[],[f204,f58]) ).
fof(f10633,plain,
! [X0] : product(X0,product(a3,a25)) = product(product(product(X0,a3),a24),a25),
inference(superposition,[],[f84,f222]) ).
fof(f10655,plain,
! [X0] : product(X0,a2) = product(product(product(X0,a3),a24),a25),
inference(forward_demodulation,[],[f10633,f47]) ).
fof(f13225,plain,
product(a17,product(a17,a10)) = product(product(a17,a9),a10),
inference(superposition,[],[f3418,f58]) ).
fof(f13786,plain,
product(a18,a10) = product(a17,product(a17,a10)),
inference(forward_demodulation,[],[f13225,f22]) ).
fof(f16156,plain,
product(product(a29,a31),a2) = product(product(product(a26,a21),a24),a25),
inference(superposition,[],[f10655,f1640]) ).
fof(f16207,plain,
product(product(a25,a21),a25) = product(product(a29,a31),a2),
inference(forward_demodulation,[],[f16156,f2746]) ).
fof(f16218,plain,
product(a31,a22) = product(product(a25,a21),a25),
inference(forward_demodulation,[],[f16207,f1742]) ).
fof(f16224,plain,
product(a31,a22) = product(a25,product(a21,a25)),
inference(forward_demodulation,[],[f16218,f83]) ).
fof(f16226,plain,
product(a31,a22) = product(a25,a22),
inference(forward_demodulation,[],[f16224,f27]) ).
fof(f16231,plain,
product(product(a31,a22),a31) = product(product(a25,a31),a23),
inference(superposition,[],[f153,f16226]) ).
fof(f16232,plain,
a25 = product(product(a31,a22),a22),
inference(superposition,[],[f2,f16226]) ).
fof(f16253,plain,
a31 = a25,
inference(forward_demodulation,[],[f16232,f2]) ).
fof(f16254,plain,
product(product(a31,a22),a31) = product(a26,product(a31,a23)),
inference(forward_demodulation,[],[f16231,f90]) ).
fof(f16262,plain,
product(product(a31,a22),a31) = product(a26,a30),
inference(forward_demodulation,[],[f16254,f74]) ).
fof(f16267,plain,
product(a31,product(a22,a31)) = product(a26,a30),
inference(forward_demodulation,[],[f16262,f83]) ).
fof(f16269,plain,
product(a31,a23) = product(a26,a30),
inference(forward_demodulation,[],[f16267,f28]) ).
fof(f16271,plain,
a30 = product(a26,a30),
inference(forward_demodulation,[],[f16269,f74]) ).
fof(f16272,plain,
a3 = product(a2,a31),
inference(superposition,[],[f5,f16253]) ).
fof(f16273,plain,
a22 = product(a21,a31),
inference(superposition,[],[f27,f16253]) ).
fof(f16276,plain,
a2 = product(a3,a31),
inference(superposition,[],[f47,f16253]) ).
fof(f16277,plain,
a21 = product(a22,a31),
inference(superposition,[],[f67,f16253]) ).
fof(f16278,plain,
a24 = product(a31,a3),
inference(superposition,[],[f70,f16253]) ).
fof(f16360,plain,
product(a30,a1) = product(a27,product(a30,a1)),
inference(superposition,[],[f116,f16271]) ).
fof(f16364,plain,
a26 = product(a30,a30),
inference(superposition,[],[f2,f16271]) ).
fof(f16382,plain,
a26 = a30,
inference(forward_demodulation,[],[f16364,f1]) ).
fof(f16386,plain,
a29 = product(a27,a29),
inference(forward_demodulation,[],[f16360,f50]) ).
fof(f16445,plain,
a1 = a3,
inference(superposition,[],[f16272,f45]) ).
fof(f16475,plain,
a30 = product(a29,a3),
inference(superposition,[],[f37,f16445]) ).
fof(f16541,plain,
a28 = a30,
inference(forward_demodulation,[],[f16475,f73]) ).
fof(f16551,plain,
a26 = a28,
inference(forward_demodulation,[],[f16541,f16382]) ).
fof(f16739,plain,
a21 = a23,
inference(superposition,[],[f16277,f28]) ).
fof(f16768,plain,
a24 = product(a21,a21),
inference(superposition,[],[f29,f16739]) ).
fof(f16867,plain,
a21 = a24,
inference(forward_demodulation,[],[f16768,f1]) ).
fof(f17043,plain,
a21 = product(a31,a3),
inference(forward_demodulation,[],[f16278,f16867]) ).
fof(f17137,plain,
a27 = product(a29,a29),
inference(superposition,[],[f2,f16386]) ).
fof(f17155,plain,
a29 = a27,
inference(forward_demodulation,[],[f17137,f1]) ).
fof(f17215,plain,
a21 = a32,
inference(superposition,[],[f17043,f40]) ).
fof(f17246,plain,
a1 = product(a21,a21),
inference(superposition,[],[f42,f17215]) ).
fof(f17284,plain,
a1 = a21,
inference(forward_demodulation,[],[f17246,f1]) ).
fof(f17297,plain,
a3 = a21,
inference(forward_demodulation,[],[f17284,f16445]) ).
fof(f17404,plain,
a1 = product(a32,a3),
inference(superposition,[],[f42,f17297]) ).
fof(f17406,plain,
product(a3,a29) = a20,
inference(superposition,[],[f66,f17297]) ).
fof(f17446,plain,
product(a32,a1) = product(product(a1,a32),a3),
inference(superposition,[],[f1708,f17297]) ).
fof(f17451,plain,
product(a25,a3) = product(product(a26,a3),a24),
inference(superposition,[],[f2746,f17297]) ).
fof(f17452,plain,
product(a31,a3) = product(product(a30,a3),a24),
inference(superposition,[],[f2747,f17297]) ).
fof(f17469,plain,
a22 = product(a3,a31),
inference(superposition,[],[f16273,f17297]) ).
fof(f17470,plain,
a2 = a22,
inference(forward_demodulation,[],[f17469,f16276]) ).
fof(f17487,plain,
product(a31,a3) = product(product(a30,a3),a21),
inference(forward_demodulation,[],[f17452,f16867]) ).
fof(f17488,plain,
product(a25,a3) = product(product(a26,a3),a21),
inference(forward_demodulation,[],[f17451,f16867]) ).
fof(f17493,plain,
product(a32,a1) = product(product(a1,a3),a31),
inference(forward_demodulation,[],[f17446,f163]) ).
fof(f17533,plain,
a4 = a20,
inference(forward_demodulation,[],[f17406,f6]) ).
fof(f17535,plain,
a1 = a31,
inference(forward_demodulation,[],[f17404,f46]) ).
fof(f17554,plain,
product(a31,a3) = product(product(a30,a3),a3),
inference(forward_demodulation,[],[f17487,f17297]) ).
fof(f17555,plain,
product(a25,a3) = product(product(a26,a3),a3),
inference(forward_demodulation,[],[f17488,f17297]) ).
fof(f17560,plain,
product(a32,a1) = product(a2,product(a3,a31)),
inference(forward_demodulation,[],[f17493,f86]) ).
fof(f17591,plain,
a31 = a3,
inference(forward_demodulation,[],[f17535,f16445]) ).
fof(f17606,plain,
a30 = product(a31,a3),
inference(forward_demodulation,[],[f17554,f2]) ).
fof(f17607,plain,
a26 = product(a25,a3),
inference(forward_demodulation,[],[f17555,f2]) ).
fof(f17612,plain,
product(a32,a1) = product(a2,a2),
inference(forward_demodulation,[],[f17560,f16276]) ).
fof(f17648,plain,
a21 = a30,
inference(forward_demodulation,[],[f17606,f17043]) ).
fof(f17649,plain,
a24 = a26,
inference(forward_demodulation,[],[f17607,f70]) ).
fof(f17652,plain,
a2 = product(a32,a1),
inference(forward_demodulation,[],[f17612,f1]) ).
fof(f17676,plain,
a3 = a30,
inference(forward_demodulation,[],[f17648,f17297]) ).
fof(f17677,plain,
a21 = a26,
inference(forward_demodulation,[],[f17649,f16867]) ).
fof(f17678,plain,
a2 = product(a32,a3),
inference(forward_demodulation,[],[f17652,f16445]) ).
fof(f17692,plain,
a3 = a26,
inference(forward_demodulation,[],[f17677,f17297]) ).
fof(f17693,plain,
a31 = a2,
inference(forward_demodulation,[],[f17678,f46]) ).
fof(f17890,plain,
product(a4,a11) = a19,
inference(superposition,[],[f56,f17533]) ).
fof(f17932,plain,
a5 = a19,
inference(forward_demodulation,[],[f17890,f7]) ).
fof(f18785,plain,
a29 = product(a3,a1),
inference(superposition,[],[f50,f17676]) ).
fof(f18840,plain,
a29 = product(a3,a3),
inference(forward_demodulation,[],[f18785,f16445]) ).
fof(f18869,plain,
a3 = a29,
inference(forward_demodulation,[],[f18840,f1]) ).
fof(f19098,plain,
a2 = a3,
inference(forward_demodulation,[],[f17693,f17591]) ).
fof(f19640,plain,
a13 = product(a12,a5),
inference(superposition,[],[f15,f17932]) ).
fof(f19641,plain,
a17 = product(a16,a5),
inference(superposition,[],[f21,f17932]) ).
fof(f19745,plain,
a15 = a17,
inference(forward_demodulation,[],[f19641,f54]) ).
fof(f19746,plain,
a11 = a13,
inference(forward_demodulation,[],[f19640,f52]) ).
fof(f20048,plain,
a4 = product(a3,a3),
inference(superposition,[],[f6,f18869]) ).
fof(f20143,plain,
a3 = a4,
inference(forward_demodulation,[],[f20048,f1]) ).
fof(f20504,plain,
a14 = product(a15,a15),
inference(superposition,[],[f63,f19745]) ).
fof(f20569,plain,
a15 = a14,
inference(forward_demodulation,[],[f20504,f1]) ).
fof(f20607,plain,
a14 = product(a11,a7),
inference(superposition,[],[f16,f19746]) ).
fof(f20636,plain,
a10 = a14,
inference(forward_demodulation,[],[f20607,f60]) ).
fof(f20983,plain,
a15 = a10,
inference(forward_demodulation,[],[f20636,f20569]) ).
fof(f20986,plain,
a9 = product(a15,a17),
inference(superposition,[],[f58,f20983]) ).
fof(f21005,plain,
product(a9,a19) = product(product(a15,a19),a16),
inference(superposition,[],[f9578,f20983]) ).
fof(f21009,plain,
product(a18,a15) = product(a17,product(a17,a15)),
inference(superposition,[],[f13786,f20983]) ).
fof(f21010,plain,
product(a18,a15) = product(a15,product(a15,a15)),
inference(forward_demodulation,[],[f21009,f19745]) ).
fof(f21014,plain,
product(a9,a5) = product(product(a15,a5),a16),
inference(forward_demodulation,[],[f21005,f17932]) ).
fof(f21026,plain,
a9 = product(a15,a15),
inference(forward_demodulation,[],[f20986,f19745]) ).
fof(f21028,plain,
product(a18,a15) = product(a15,a15),
inference(forward_demodulation,[],[f21010,f1]) ).
fof(f21032,plain,
product(a9,a5) = product(a16,a16),
inference(forward_demodulation,[],[f21014,f19]) ).
fof(f21044,plain,
a15 = a9,
inference(forward_demodulation,[],[f21026,f1]) ).
fof(f21046,plain,
a15 = product(a18,a15),
inference(forward_demodulation,[],[f21028,f1]) ).
fof(f21048,plain,
a16 = product(a9,a5),
inference(forward_demodulation,[],[f21032,f1]) ).
fof(f21056,plain,
a15 = a19,
inference(forward_demodulation,[],[f21046,f24]) ).
fof(f21058,plain,
a8 = a16,
inference(forward_demodulation,[],[f21048,f57]) ).
fof(f21064,plain,
a5 = a15,
inference(forward_demodulation,[],[f21056,f17932]) ).
fof(f21091,plain,
a17 = product(a18,a15),
inference(superposition,[],[f59,f21044]) ).
fof(f21152,plain,
a19 = a17,
inference(forward_demodulation,[],[f21091,f24]) ).
fof(f21179,plain,
a5 = a17,
inference(forward_demodulation,[],[f21152,f17932]) ).
fof(f21354,plain,
a6 = product(a5,a5),
inference(superposition,[],[f8,f21064]) ).
fof(f21360,plain,
a18 = product(a19,a5),
inference(superposition,[],[f65,f21064]) ).
fof(f21457,plain,
a18 = product(a5,a5),
inference(forward_demodulation,[],[f21360,f17932]) ).
fof(f21462,plain,
a5 = a6,
inference(forward_demodulation,[],[f21354,f1]) ).
fof(f21504,plain,
a5 = a18,
inference(forward_demodulation,[],[f21457,f1]) ).
fof(f21624,plain,
a10 = product(a9,a5),
inference(superposition,[],[f11,f21179]) ).
fof(f21656,plain,
product(a15,product(a19,a5)) = product(product(a12,a8),a5),
inference(superposition,[],[f2314,f21179]) ).
fof(f21682,plain,
product(a15,product(a19,a5)) = product(product(a12,a5),a9),
inference(forward_demodulation,[],[f21656,f142]) ).
fof(f21714,plain,
a8 = a10,
inference(forward_demodulation,[],[f21624,f57]) ).
fof(f21726,plain,
product(a15,product(a19,a5)) = product(product(a12,a5),a15),
inference(forward_demodulation,[],[f21682,f21044]) ).
fof(f21756,plain,
a15 = a8,
inference(forward_demodulation,[],[f21714,f20983]) ).
fof(f21766,plain,
product(product(a12,a5),a5) = product(a5,product(a19,a5)),
inference(forward_demodulation,[],[f21726,f21064]) ).
fof(f21787,plain,
a5 = a8,
inference(forward_demodulation,[],[f21756,f21064]) ).
fof(f21794,plain,
product(product(a12,a5),a5) = product(a5,product(a5,a5)),
inference(forward_demodulation,[],[f21766,f17932]) ).
fof(f21811,plain,
product(product(a12,a5),a5) = product(a5,a5),
inference(forward_demodulation,[],[f21794,f1]) ).
fof(f21822,plain,
a5 = product(product(a12,a5),a5),
inference(forward_demodulation,[],[f21811,f1]) ).
fof(f21831,plain,
a5 = a12,
inference(forward_demodulation,[],[f21822,f2]) ).
fof(f22689,plain,
a7 = product(a5,a19),
inference(superposition,[],[f55,f21787]) ).
fof(f22698,plain,
product(a10,a19) = product(product(a11,a19),a5),
inference(superposition,[],[f2241,f21787]) ).
fof(f22727,plain,
product(a12,product(a19,a5)) = product(a10,a19),
inference(forward_demodulation,[],[f22698,f96]) ).
fof(f22736,plain,
a7 = product(a5,a5),
inference(forward_demodulation,[],[f22689,f17932]) ).
fof(f22753,plain,
product(a12,product(a5,a5)) = product(a10,a5),
inference(forward_demodulation,[],[f22727,f17932]) ).
fof(f22762,plain,
a5 = a7,
inference(forward_demodulation,[],[f22736,f1]) ).
fof(f22777,plain,
product(a15,a5) = product(a12,product(a5,a5)),
inference(forward_demodulation,[],[f22753,f20983]) ).
fof(f22795,plain,
product(a15,a5) = product(a12,a5),
inference(forward_demodulation,[],[f22777,f1]) ).
fof(f22807,plain,
a11 = product(a15,a5),
inference(forward_demodulation,[],[f22795,f52]) ).
fof(f22817,plain,
a11 = product(a5,a5),
inference(forward_demodulation,[],[f22807,f21064]) ).
fof(f22821,plain,
a11 = a5,
inference(forward_demodulation,[],[f22817,f1]) ).
fof(f22868,plain,
a4 = product(product(a5,product(a5,a5)),a5),
inference(superposition,[],[f2096,f21831]) ).
fof(f22901,plain,
a4 = product(a5,product(product(a5,a5),a5)),
inference(forward_demodulation,[],[f22868,f83]) ).
fof(f22936,plain,
a4 = product(a5,a5),
inference(forward_demodulation,[],[f22901,f2]) ).
fof(f22965,plain,
a4 = a5,
inference(forward_demodulation,[],[f22936,f1]) ).
fof(f22989,plain,
a3 = a5,
inference(forward_demodulation,[],[f22965,f20143]) ).
fof(f23752,plain,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(superposition,[],[f43,f22989]) ).
fof(f23885,plain,
tuple(a1,a30,a31,a2,a24,a25,a3,a26,a29,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a26),
inference(forward_demodulation,[],[f23752,f16551]) ).
fof(f23956,plain,
tuple(a1,a30,a31,a2,a24,a25,a3,a3,a29,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a3,a27) != tuple(a2,a31,a32,a3,a25,a3,a4,a29,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a3),
inference(forward_demodulation,[],[f23885,f17692]) ).
fof(f24027,plain,
tuple(a1,a30,a31,a2,a24,a25,a3,a3,a29,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a3,a29) != tuple(a2,a31,a32,a3,a25,a3,a4,a29,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a29,a3),
inference(forward_demodulation,[],[f23956,f17155]) ).
fof(f24083,plain,
tuple(a1,a30,a31,a2,a24,a25,a3,a3,a3,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a3,a3) != tuple(a2,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a3,a3),
inference(forward_demodulation,[],[f24027,f18869]) ).
fof(f24127,plain,
tuple(a1,a30,a31,a2,a21,a25,a3,a3,a3,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a3,a3) != tuple(a2,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a21,a3,a3),
inference(forward_demodulation,[],[f24083,f16867]) ).
fof(f24154,plain,
tuple(a1,a30,a31,a2,a3,a25,a3,a3,a3,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a22,a23,a3,a3) != tuple(a2,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a22,a23,a3,a3,a3),
inference(forward_demodulation,[],[f24127,f17297]) ).
fof(f24170,plain,
tuple(a1,a30,a31,a2,a3,a25,a3,a3,a3,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a22,a21,a3,a3) != tuple(a2,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a22,a21,a3,a3,a3),
inference(forward_demodulation,[],[f24154,f16739]) ).
fof(f24178,plain,
tuple(a1,a30,a31,a2,a3,a25,a3,a3,a3,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a22,a3,a3,a3) != tuple(a2,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a22,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24170,f17297]) ).
fof(f24184,plain,
tuple(a1,a30,a31,a2,a3,a25,a3,a3,a3,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a2,a3,a3,a3) != tuple(a2,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a2,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24178,f17470]) ).
fof(f24186,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a11,a3,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24184,f19098]) ).
fof(f24187,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a11,a3,a15,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a15,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24186,f20569]) ).
fof(f24188,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a11,a3,a5,a5,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a5,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a5,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24187,f21064]) ).
fof(f24189,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a11,a3,a3,a3,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a3,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24188,f22989]) ).
fof(f24190,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a11,a3,a3,a3,a6,a7,a18,a19,a8,a9,a16,a17,a12,a11,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a11,a12,a6,a3,a16,a7,a8,a19,a20,a9,a10,a17,a18,a11,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24189,f19746]) ).
fof(f24191,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a5,a3,a3,a3,a6,a7,a18,a19,a8,a9,a16,a17,a12,a5,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a5,a12,a6,a3,a16,a7,a8,a19,a20,a9,a10,a17,a18,a5,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24190,f22821]) ).
fof(f24192,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a3,a3,a3,a3,a6,a7,a18,a19,a8,a9,a16,a17,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a9,a10,a17,a18,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24191,f22989]) ).
fof(f24193,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a3,a3,a3,a3,a6,a7,a5,a19,a8,a9,a16,a17,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a9,a10,a17,a5,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24192,f21504]) ).
fof(f24194,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a3,a3,a3,a3,a6,a7,a3,a19,a8,a9,a16,a17,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a9,a10,a17,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24193,f22989]) ).
fof(f24195,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a3,a3,a3,a3,a6,a7,a3,a19,a8,a9,a16,a15,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a9,a10,a15,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24194,f19745]) ).
fof(f24196,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a3,a3,a3,a3,a6,a7,a3,a19,a8,a9,a16,a5,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a9,a10,a5,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24195,f21064]) ).
fof(f24197,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a10,a3,a3,a3,a3,a6,a7,a3,a19,a8,a9,a16,a3,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a9,a10,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24196,f22989]) ).
fof(f24198,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a15,a3,a3,a3,a3,a6,a7,a3,a19,a8,a9,a16,a3,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a9,a15,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24197,f20983]) ).
fof(f24199,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a5,a3,a3,a3,a3,a6,a7,a3,a19,a8,a9,a16,a3,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a9,a5,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24198,f21064]) ).
fof(f24200,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a3,a3,a3,a3,a3,a6,a7,a3,a19,a8,a9,a16,a3,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a9,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24199,f22989]) ).
fof(f24201,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a3,a3,a3,a3,a3,a6,a7,a3,a19,a8,a15,a16,a3,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a15,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24200,f21044]) ).
fof(f24202,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a3,a3,a3,a3,a3,a6,a7,a3,a19,a8,a5,a16,a3,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a5,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24201,f21064]) ).
fof(f24203,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a3,a3,a3,a3,a3,a6,a7,a3,a19,a8,a3,a16,a3,a12,a3,a20,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a20,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24202,f22989]) ).
fof(f24204,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a4,a3,a3,a3,a3,a3,a6,a7,a3,a19,a8,a3,a16,a3,a12,a3,a4,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a4,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a4,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24203,f17533]) ).
fof(f24205,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a7,a3,a19,a8,a3,a16,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a19,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24204,f20143]) ).
fof(f24206,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a7,a3,a5,a8,a3,a16,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a5,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24205,f17932]) ).
fof(f24207,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a7,a3,a3,a8,a3,a16,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a6,a3,a16,a7,a8,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24206,f22989]) ).
fof(f24208,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a7,a3,a3,a5,a3,a16,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a6,a3,a16,a7,a5,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24207,f21787]) ).
fof(f24209,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a7,a3,a3,a3,a3,a16,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a6,a3,a16,a7,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24208,f22989]) ).
fof(f24210,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a5,a3,a3,a3,a3,a16,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a6,a3,a16,a5,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24209,f22762]) ).
fof(f24211,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a3,a3,a3,a3,a3,a16,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a6,a3,a16,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24210,f22989]) ).
fof(f24212,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a3,a3,a3,a3,a3,a8,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a6,a3,a8,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24211,f21058]) ).
fof(f24213,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a3,a3,a3,a3,a3,a5,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a6,a3,a5,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24212,f21787]) ).
fof(f24214,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a3,a3,a3,a3,a3,a3,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a6,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24213,f22989]) ).
fof(f24215,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a3,a3,a3,a3,a3,a3,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a5,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24214,f21462]) ).
fof(f24216,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a12,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a12,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24215,f22989]) ).
fof(f24217,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a5,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24216,f21831]) ).
fof(f24218,plain,
tuple(a1,a30,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a30,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24217,f22989]) ).
fof(f24219,plain,
tuple(a1,a26,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a26,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24218,f16382]) ).
fof(f24220,plain,
tuple(a1,a3,a31,a3,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a25,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24219,f17692]) ).
fof(f24221,plain,
tuple(a1,a3,a31,a3,a3,a31,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a31,a32,a3,a31,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24220,f16253]) ).
fof(f24222,plain,
tuple(a1,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a32,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24221,f17591]) ).
fof(f24223,plain,
tuple(a1,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a21,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24222,f17215]) ).
fof(f24224,plain,
tuple(a1,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24223,f17297]) ).
fof(f24225,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(forward_demodulation,[],[f24224,f16445]) ).
fof(f24226,plain,
$false,
inference(trivial_inequality_removal,[],[f24225]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP050-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n011.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 19:07:31 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 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
% 3.20/0.92 % (3674432)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.20/0.92 % (3674443)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3580043331:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.20/0.92 % (3674438)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=949868808:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.20/0.92 % (3674439)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3988418314:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.20/0.92 % (3674441)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2740123092:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.20/0.92 % (3674440)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1330271149:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.20/0.92 % (3674437)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=1623719328:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.20/0.92 % (3674442)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=8779213:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.20/0.92 % (3674441)Refutation not found, incomplete strategy
% 3.20/0.92 % (3674441)------------------------------
% 3.20/0.92 % (3674441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/0.92 % (3674441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.92 % (3674441)CaDiCaL version: 2.1.3
% 3.20/0.92 % (3674441)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.92 % (3674441)Time elapsed: 0.003 s
% 3.20/0.92 % (3674441)Peak memory usage: 87 MB
% 3.20/0.92 % (3674441)Instructions burned: 4 (million)
% 3.20/0.92 % (3674440)Instruction limit reached!
% 3.20/0.92 % (3674440)------------------------------
% 3.20/0.92 % (3674440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/0.92 % (3674440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.92 % (3674440)CaDiCaL version: 2.1.3
% 3.20/0.92 % (3674440)Termination reason: Instruction limit
% 3.20/0.92 % (3674440)Termination phase: Saturation
% 3.20/0.92 % (3674440)Time elapsed: 0.077 s
% 3.20/0.92 % (3674440)Peak memory usage: 88 MB
% 3.20/0.92 % (3674440)Instructions burned: 137 (million)
% 3.20/0.92 % (3674442)Instruction limit reached!
% 3.20/0.92 % (3674442)------------------------------
% 3.20/0.92 % (3674442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/0.92 % (3674442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.92 % (3674442)CaDiCaL version: 2.1.3
% 3.20/0.92 % (3674442)Termination reason: Instruction limit
% 3.20/0.92 % (3674442)Termination phase: Saturation
% 3.20/0.92 % (3674442)Time elapsed: 0.164 s
% 3.20/0.92 % (3674442)Peak memory usage: 90 MB
% 3.20/0.92 % (3674442)Instructions burned: 258 (million)
% 3.20/0.92 % (3674443)First to succeed.
% 3.20/0.92 % (3674443)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3674432"
% 3.20/0.92 % (3674441)------------------------------
% 3.20/0.92 % (3674441)------------------------------
% 3.20/0.92 % (3674451)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3055198437:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.20/0.92 % (3674452)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2426996057:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 3.20/0.92 % (3674443)Refutation found. Thanks to Tanya!
% 3.20/0.92 % SZS status Unsatisfiable for theBenchmark
% 3.20/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 3.20/1.01 % (3674443)------------------------------
% 3.20/1.01 % (3674443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.01 % (3674443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.01 % (3674443)CaDiCaL version: 2.1.3
% 3.20/1.01 % (3674443)Termination reason: Refutation
% 3.20/1.01 % (3674443)Time elapsed: 0.229 s
% 3.20/1.01 % (3674443)Peak memory usage: 97 MB
% 3.20/1.01 % (3674443)Instructions burned: 842 (million)
% 3.20/1.01 % (3674443)------------------------------
% 3.20/1.01 % (3674443)------------------------------
% 3.20/1.01 % (3674432)Success in time 0.506 s
% 3.20/1.01 % Vampire exiting
%------------------------------------------------------------------------------